TSTP Solution File: DAT033_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : DAT033_1 : TPTP v8.1.2. Released v5.0.0.
% 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 : n007.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 02:18:37 EDT 2024
% Result : Theorem 0.61s 0.77s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 17
% Syntax : Number of formulae : 66 ( 4 unt; 7 typ; 0 def)
% Number of atoms : 128 ( 58 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 123 ( 54 ~; 46 |; 8 &)
% ( 12 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number arithmetic : 131 ( 0 atm; 32 fun; 74 num; 25 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 7 ( 4 >; 3 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 12 ( 5 usr; 6 con; 0-2 aty)
% Number of variables : 52 ( 50 !; 2 ?; 52 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
collection: $tType ).
tff(func_def_0,type,
empty: collection ).
tff(func_def_1,type,
add: ( $int * collection ) > collection ).
tff(func_def_2,type,
remove: ( $int * collection ) > collection ).
tff(func_def_3,type,
count: collection > $int ).
tff(func_def_11,type,
sK0: collection ).
tff(pred_def_1,type,
in: ( $int * collection ) > $o ).
tff(f392,plain,
$false,
inference(avatar_sat_refutation,[],[f324,f361,f376,f391]) ).
tff(f391,plain,
( ~ spl1_3
| ~ spl1_4 ),
inference(avatar_contradiction_clause,[],[f390]) ).
tff(f390,plain,
( $false
| ~ spl1_3
| ~ spl1_4 ),
inference(subsumption_resolution,[],[f386,f372]) ).
tff(f372,plain,
( ( count(remove(5,sK0)) != $sum(-1,count(sK0)) )
| ~ spl1_3 ),
inference(backward_demodulation,[],[f54,f368]) ).
tff(f368,plain,
( ( count(remove(3,sK0)) = $sum(-1,count(sK0)) )
| ~ spl1_3 ),
inference(resolution,[],[f218,f83]) ).
tff(f83,plain,
! [X0: $int,X1: collection] :
( ~ in(X0,X1)
| ( count(remove(X0,X1)) = $sum(-1,count(X1)) ) ),
inference(backward_demodulation,[],[f79,f17]) ).
tff(f17,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f79,plain,
! [X0: $int,X1: collection] :
( ( count(remove(X0,X1)) = $sum(count(X1),-1) )
| ~ in(X0,X1) ),
inference(evaluation,[],[f66]) ).
tff(f66,plain,
! [X0: $int,X1: collection] :
( ( count(remove(X0,X1)) = $sum(count(X1),$uminus(1)) )
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
tff(f49,plain,
! [X0: $int,X1: collection] :
( ( in(X0,X1)
| ( count(remove(X0,X1)) != $sum(count(X1),$uminus(1)) ) )
& ( ( count(remove(X0,X1)) = $sum(count(X1),$uminus(1)) )
| ~ in(X0,X1) ) ),
inference(nnf_transformation,[],[f35]) ).
tff(f35,plain,
! [X0: $int,X1: collection] :
( in(X0,X1)
<=> ( count(remove(X0,X1)) = $sum(count(X1),$uminus(1)) ) ),
inference(rectify,[],[f16]) ).
tff(f16,plain,
! [X17: $int,X18: collection] :
( in(X17,X18)
<=> ( count(remove(X17,X18)) = $sum(count(X18),$uminus(1)) ) ),
inference(theory_normalization,[],[f10]) ).
tff(f10,axiom,
! [X17: $int,X18: collection] :
( in(X17,X18)
<=> ( count(remove(X17,X18)) = $difference(count(X18),1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.DiEAvTyuv6/Vampire---4.8_31005',ax5) ).
tff(f218,plain,
( in(3,sK0)
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f216]) ).
tff(f216,plain,
( spl1_3
<=> in(3,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
tff(f54,plain,
count(remove(5,sK0)) != count(remove(3,sK0)),
inference(cnf_transformation,[],[f43]) ).
tff(f43,plain,
( ( count(remove(5,sK0)) != count(remove(3,sK0)) )
& ( count(add(5,sK0)) = count(add(3,sK0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f40,f42]) ).
tff(f42,plain,
( ? [X0: collection] :
( ( count(remove(5,X0)) != count(remove(3,X0)) )
& ( count(add(5,X0)) = count(add(3,X0)) ) )
=> ( ( count(remove(5,sK0)) != count(remove(3,sK0)) )
& ( count(add(5,sK0)) = count(add(3,sK0)) ) ) ),
introduced(choice_axiom,[]) ).
tff(f40,plain,
? [X0: collection] :
( ( count(remove(5,X0)) != count(remove(3,X0)) )
& ( count(add(5,X0)) = count(add(3,X0)) ) ),
inference(ennf_transformation,[],[f14]) ).
tff(f14,negated_conjecture,
~ ! [X0: collection] :
( ( count(add(5,X0)) = count(add(3,X0)) )
=> ( count(remove(5,X0)) = count(remove(3,X0)) ) ),
inference(negated_conjecture,[],[f13]) ).
tff(f13,conjecture,
! [X0: collection] :
( ( count(add(5,X0)) = count(add(3,X0)) )
=> ( count(remove(5,X0)) = count(remove(3,X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.DiEAvTyuv6/Vampire---4.8_31005',co1) ).
tff(f386,plain,
( ( count(remove(5,sK0)) = $sum(-1,count(sK0)) )
| ~ spl1_4 ),
inference(resolution,[],[f385,f83]) ).
tff(f385,plain,
( in(5,sK0)
| ~ spl1_4 ),
inference(trivial_inequality_removal,[],[f380]) ).
tff(f380,plain,
( ( count(sK0) != count(sK0) )
| in(5,sK0)
| ~ spl1_4 ),
inference(superposition,[],[f57,f221]) ).
tff(f221,plain,
( ( count(add(5,sK0)) = count(sK0) )
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f220]) ).
tff(f220,plain,
( spl1_4
<=> ( count(add(5,sK0)) = count(sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
tff(f57,plain,
! [X0: $int,X1: collection] :
( ( count(add(X0,X1)) != count(X1) )
| in(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
tff(f44,plain,
! [X0: $int,X1: collection] :
( ( in(X0,X1)
| ( count(add(X0,X1)) != count(X1) ) )
& ( ( count(add(X0,X1)) = count(X1) )
| ~ in(X0,X1) ) ),
inference(nnf_transformation,[],[f30]) ).
tff(f30,plain,
! [X0: $int,X1: collection] :
( in(X0,X1)
<=> ( count(add(X0,X1)) = count(X1) ) ),
inference(rectify,[],[f9]) ).
tff(f9,axiom,
! [X15: $int,X16: collection] :
( in(X15,X16)
<=> ( count(add(X15,X16)) = count(X16) ) ),
file('/export/starexec/sandbox2/tmp/tmp.DiEAvTyuv6/Vampire---4.8_31005',ax4) ).
tff(f376,plain,
( spl1_4
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f373,f216,f220]) ).
tff(f373,plain,
( ( count(add(5,sK0)) = count(sK0) )
| ~ spl1_3 ),
inference(backward_demodulation,[],[f53,f370]) ).
tff(f370,plain,
( ( count(add(3,sK0)) = count(sK0) )
| ~ spl1_3 ),
inference(resolution,[],[f218,f56]) ).
tff(f56,plain,
! [X0: $int,X1: collection] :
( ~ in(X0,X1)
| ( count(add(X0,X1)) = count(X1) ) ),
inference(cnf_transformation,[],[f44]) ).
tff(f53,plain,
count(add(5,sK0)) = count(add(3,sK0)),
inference(cnf_transformation,[],[f43]) ).
tff(f361,plain,
( spl1_3
| ~ spl1_5 ),
inference(avatar_contradiction_clause,[],[f360]) ).
tff(f360,plain,
( $false
| spl1_3
| ~ spl1_5 ),
inference(subsumption_resolution,[],[f359,f325]) ).
tff(f325,plain,
( ( count(remove(5,sK0)) != count(sK0) )
| spl1_3 ),
inference(backward_demodulation,[],[f54,f322]) ).
tff(f322,plain,
( ( count(remove(3,sK0)) = count(sK0) )
| spl1_3 ),
inference(resolution,[],[f217,f64]) ).
tff(f64,plain,
! [X0: $int,X1: collection] :
( in(X0,X1)
| ( count(X1) = count(remove(X0,X1)) ) ),
inference(cnf_transformation,[],[f48]) ).
tff(f48,plain,
! [X0: $int,X1: collection] :
( ( ~ in(X0,X1)
| ( count(X1) != count(remove(X0,X1)) ) )
& ( ( count(X1) = count(remove(X0,X1)) )
| in(X0,X1) ) ),
inference(nnf_transformation,[],[f34]) ).
tff(f34,plain,
! [X0: $int,X1: collection] :
( ~ in(X0,X1)
<=> ( count(X1) = count(remove(X0,X1)) ) ),
inference(rectify,[],[f11]) ).
tff(f11,axiom,
! [X19: $int,X20: collection] :
( ~ in(X19,X20)
<=> ( count(remove(X19,X20)) = count(X20) ) ),
file('/export/starexec/sandbox2/tmp/tmp.DiEAvTyuv6/Vampire---4.8_31005',ax6) ).
tff(f217,plain,
( ~ in(3,sK0)
| spl1_3 ),
inference(avatar_component_clause,[],[f216]) ).
tff(f359,plain,
( ( count(remove(5,sK0)) = count(sK0) )
| ~ spl1_5 ),
inference(resolution,[],[f357,f64]) ).
tff(f357,plain,
( ~ in(5,sK0)
| ~ spl1_5 ),
inference(trivial_inequality_removal,[],[f349]) ).
tff(f349,plain,
( ( $sum(1,count(sK0)) != $sum(1,count(sK0)) )
| ~ in(5,sK0)
| ~ spl1_5 ),
inference(superposition,[],[f82,f318]) ).
tff(f318,plain,
( ( count(add(5,sK0)) = $sum(1,count(sK0)) )
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f317]) ).
tff(f317,plain,
( spl1_5
<=> ( count(add(5,sK0)) = $sum(1,count(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).
tff(f82,plain,
! [X0: $int,X1: collection] :
( ( count(add(X0,X1)) != $sum(1,count(X1)) )
| ~ in(X0,X1) ),
inference(backward_demodulation,[],[f59,f17]) ).
tff(f59,plain,
! [X0: $int,X1: collection] :
( ~ in(X0,X1)
| ( count(add(X0,X1)) != $sum(count(X1),1) ) ),
inference(cnf_transformation,[],[f45]) ).
tff(f45,plain,
! [X0: $int,X1: collection] :
( ( ~ in(X0,X1)
| ( count(add(X0,X1)) != $sum(count(X1),1) ) )
& ( ( count(add(X0,X1)) = $sum(count(X1),1) )
| in(X0,X1) ) ),
inference(nnf_transformation,[],[f31]) ).
tff(f31,plain,
! [X0: $int,X1: collection] :
( ~ in(X0,X1)
<=> ( count(add(X0,X1)) = $sum(count(X1),1) ) ),
inference(rectify,[],[f8]) ).
tff(f8,axiom,
! [X13: $int,X14: collection] :
( ~ in(X13,X14)
<=> ( count(add(X13,X14)) = $sum(count(X14),1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.DiEAvTyuv6/Vampire---4.8_31005',ax3) ).
tff(f324,plain,
( spl1_5
| spl1_3 ),
inference(avatar_split_clause,[],[f323,f216,f317]) ).
tff(f323,plain,
( ( count(add(5,sK0)) = $sum(1,count(sK0)) )
| spl1_3 ),
inference(backward_demodulation,[],[f53,f321]) ).
tff(f321,plain,
( ( count(add(3,sK0)) = $sum(1,count(sK0)) )
| spl1_3 ),
inference(resolution,[],[f217,f81]) ).
tff(f81,plain,
! [X0: $int,X1: collection] :
( in(X0,X1)
| ( count(add(X0,X1)) = $sum(1,count(X1)) ) ),
inference(backward_demodulation,[],[f58,f17]) ).
tff(f58,plain,
! [X0: $int,X1: collection] :
( ( count(add(X0,X1)) = $sum(count(X1),1) )
| in(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : DAT033_1 : TPTP v8.1.2. Released v5.0.0.
% 0.07/0.15 % 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
% 0.14/0.36 % Computer : n007.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 16:24:48 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a TF0_THM_EQU_ARI problem
% 0.14/0.36 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/tmp/tmp.DiEAvTyuv6/Vampire---4.8_31005
% 0.54/0.75 % (31328)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)
% 0.54/0.75 % (31321)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)
% 0.54/0.75 % (31323)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.75 % (31328)Refutation not found, incomplete strategy% (31328)------------------------------
% 0.54/0.75 % (31328)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.75 % (31328)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75
% 0.54/0.75 % (31328)Memory used [KB]: 1057
% 0.54/0.75 % (31328)Time elapsed: 0.002 s
% 0.54/0.75 % (31328)Instructions burned: 3 (million)
% 0.54/0.75 % (31328)------------------------------
% 0.54/0.75 % (31328)------------------------------
% 0.54/0.75 % (31322)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)
% 0.54/0.75 % (31325)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)
% 0.54/0.75 % (31324)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)
% 0.54/0.75 % (31327)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)
% 0.54/0.75 % (31326)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)
% 0.54/0.76 % (31326)Refutation not found, incomplete strategy% (31326)------------------------------
% 0.54/0.76 % (31326)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.76 % (31326)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76 % (31330)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)
% 0.54/0.76
% 0.54/0.76 % (31326)Memory used [KB]: 1070
% 0.54/0.76 % (31326)Time elapsed: 0.004 s
% 0.54/0.76 % (31326)Instructions burned: 4 (million)
% 0.54/0.76 % (31326)------------------------------
% 0.54/0.76 % (31326)------------------------------
% 0.54/0.76 % (31321)Refutation not found, incomplete strategy% (31321)------------------------------
% 0.54/0.76 % (31321)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.76 % (31321)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76
% 0.54/0.76 % (31321)Memory used [KB]: 1079
% 0.54/0.76 % (31321)Time elapsed: 0.005 s
% 0.54/0.76 % (31321)Instructions burned: 5 (million)
% 0.54/0.76 % (31321)------------------------------
% 0.54/0.76 % (31321)------------------------------
% 0.54/0.76 % (31332)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 (2996ds/50Mi)
% 0.54/0.76 % (31334)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)
% 0.54/0.76 % (31332)Refutation not found, incomplete strategy% (31332)------------------------------
% 0.54/0.76 % (31332)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.76 % (31332)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76
% 0.54/0.76 % (31332)Memory used [KB]: 1051
% 0.54/0.76 % (31332)Time elapsed: 0.004 s
% 0.54/0.76 % (31332)Instructions burned: 4 (million)
% 0.54/0.76 % (31332)------------------------------
% 0.54/0.76 % (31332)------------------------------
% 0.61/0.77 % (31323)First to succeed.
% 0.61/0.77 % (31336)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.61/0.77 % (31323)Refutation found. Thanks to Tanya!
% 0.61/0.77 % SZS status Theorem for Vampire---4
% 0.61/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.77 % (31323)------------------------------
% 0.61/0.77 % (31323)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77 % (31323)Termination reason: Refutation
% 0.61/0.77
% 0.61/0.77 % (31323)Memory used [KB]: 1167
% 0.61/0.77 % (31323)Time elapsed: 0.016 s
% 0.61/0.77 % (31323)Instructions burned: 22 (million)
% 0.61/0.77 % (31323)------------------------------
% 0.61/0.77 % (31323)------------------------------
% 0.61/0.77 % (31155)Success in time 0.398 s
% 0.61/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------