TSTP Solution File: DAT088_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : DAT088_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 : n029.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 02:18:48 EDT 2024
% Result : Theorem 0.62s 0.81s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of formulae : 32 ( 12 unt; 10 typ; 0 def)
% Number of atoms : 32 ( 31 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 23 ( 13 ~; 4 |; 0 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 45 ( 0 atm; 7 fun; 11 num; 27 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 13 ( 8 >; 5 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 45 ( 45 !; 0 ?; 45 :)
% 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(pred_def_1,type,
in: ( $int * list ) > $o ).
tff(pred_def_2,type,
inRange: ( $int * list ) > $o ).
tff(f69,plain,
$false,
inference(evaluation,[],[f54]) ).
tff(f54,plain,
0 = $sum(0,1),
inference(superposition,[],[f52,f40]) ).
tff(f40,plain,
! [X0: $int] : ( 0 = count(X0,nil) ),
inference(cnf_transformation,[],[f9]) ).
tff(f9,axiom,
! [X0: $int] : ( 0 = count(X0,nil) ),
file('/export/starexec/sandbox2/tmp/tmp.45nHrmyEro/Vampire---4.8_19710',a) ).
tff(f52,plain,
! [X0: $int,X1: list] : ( count(X0,X1) = $sum(count(X0,X1),1) ),
inference(superposition,[],[f50,f47]) ).
tff(f47,plain,
! [X2: list,X1: $int] : ( count(X1,cons(X1,X2)) = $sum(count(X1,X2),1) ),
inference(equality_resolution,[],[f44]) ).
tff(f44,plain,
! [X2: list,X0: $int,X1: $int] :
( ( X0 != X1 )
| ( count(X0,cons(X1,X2)) = $sum(count(X0,X2),1) ) ),
inference(cnf_transformation,[],[f37]) ).
tff(f37,plain,
! [X0: $int,X1: $int,X2: list] :
( ( count(X0,cons(X1,X2)) = $sum(count(X0,X2),1) )
| ( X0 != X1 ) ),
inference(ennf_transformation,[],[f34]) ).
tff(f34,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/sandbox2/tmp/tmp.45nHrmyEro/Vampire---4.8_19710',a_4) ).
tff(f50,plain,
! [X2: list,X0: $int,X1: $int] : ( count(X0,cons(X1,X2)) = count(X0,X2) ),
inference(forward_demodulation,[],[f48,f43]) ).
tff(f43,plain,
! [X0: $int,X1: list] : ( tail(cons(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f2]) ).
tff(f2,axiom,
! [X0: $int,X1: list] : ( tail(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.45nHrmyEro/Vampire---4.8_19710',l2) ).
tff(f48,plain,
! [X2: list,X0: $int,X1: $int] : ( count(X0,cons(X1,X2)) = count(X0,tail(cons(X1,X2))) ),
inference(unit_resulting_resolution,[],[f41,f39]) ).
tff(f39,plain,
! [X0: $int,X1: list] :
( ( count(X0,X1) = count(X0,tail(X1)) )
| ( nil = X1 ) ),
inference(cnf_transformation,[],[f36]) ).
tff(f36,plain,
! [X0: $int,X1: list] :
( ( count(X0,X1) = count(X0,tail(X1)) )
| ( nil = X1 ) ),
inference(ennf_transformation,[],[f32]) ).
tff(f32,plain,
! [X0: $int,X1: list] :
( ( nil != X1 )
=> ( count(X0,X1) = count(X0,tail(X1)) ) ),
inference(flattening,[],[f31]) ).
tff(f31,plain,
~ ~ ! [X0: $int,X1: list] :
( ( nil != X1 )
=> ( count(X0,X1) = count(X0,tail(X1)) ) ),
inference(rectify,[],[f16]) ).
tff(f16,negated_conjecture,
~ ~ ! [X5: $int,X1: list] :
( ( nil != X1 )
=> ( count(X5,X1) = count(X5,tail(X1)) ) ),
inference(negated_conjecture,[],[f15]) ).
tff(f15,conjecture,
~ ! [X5: $int,X1: list] :
( ( nil != X1 )
=> ( count(X5,X1) = count(X5,tail(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.45nHrmyEro/Vampire---4.8_19710',c) ).
tff(f41,plain,
! [X0: $int,X1: list] : ( cons(X0,X1) != nil ),
inference(cnf_transformation,[],[f4]) ).
tff(f4,axiom,
! [X0: $int,X1: list] : ( cons(X0,X1) != nil ),
file('/export/starexec/sandbox2/tmp/tmp.45nHrmyEro/Vampire---4.8_19710',l4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : DAT088_1 : TPTP v8.1.2. Released v6.1.0.
% 0.09/0.11 % 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
% 0.10/0.31 % Computer : n029.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Apr 30 16:53:05 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 This is a TF0_THM_EQU_ARI problem
% 0.15/0.31 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.45nHrmyEro/Vampire---4.8_19710
% 0.57/0.81 % (19821)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.57/0.81 % (19822)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)
% 0.57/0.81 % (19820)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)
% 0.57/0.81 % (19824)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)
% 0.57/0.81 % (19823)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)
% 0.62/0.81 % (19819)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)
% 0.62/0.81 % (19825)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)
% 0.62/0.81 % (19826)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)
% 0.62/0.81 % (19826)Refutation not found, incomplete strategy% (19826)------------------------------
% 0.62/0.81 % (19826)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81 % (19826)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81
% 0.62/0.81 % (19826)Memory used [KB]: 955
% 0.62/0.81 % (19826)Time elapsed: 0.027 s
% 0.62/0.81 % (19826)Instructions burned: 3 (million)
% 0.62/0.81 % (19826)------------------------------
% 0.62/0.81 % (19826)------------------------------
% 0.62/0.81 % (19824)Refutation not found, incomplete strategy% (19824)------------------------------
% 0.62/0.81 % (19824)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81 % (19822)Refutation not found, incomplete strategy% (19822)------------------------------
% 0.62/0.81 % (19822)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81 % (19822)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81
% 0.62/0.81 % (19822)Memory used [KB]: 972
% 0.62/0.81 % (19822)Time elapsed: 0.026 s
% 0.62/0.81 % (19822)Instructions burned: 3 (million)
% 0.62/0.81 % (19822)------------------------------
% 0.62/0.81 % (19822)------------------------------
% 0.62/0.81 % (19824)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81
% 0.62/0.81 % (19824)Memory used [KB]: 973
% 0.62/0.81 % (19824)Time elapsed: 0.026 s
% 0.62/0.81 % (19824)Instructions burned: 3 (million)
% 0.62/0.81 % (19824)------------------------------
% 0.62/0.81 % (19824)------------------------------
% 0.62/0.81 % (19819)Refutation not found, incomplete strategy% (19819)------------------------------
% 0.62/0.81 % (19819)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81 % (19819)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81
% 0.62/0.81 % (19819)Memory used [KB]: 1039
% 0.62/0.81 % (19819)Time elapsed: 0.027 s
% 0.62/0.81 % (19819)Instructions burned: 3 (million)
% 0.62/0.81 % (19819)------------------------------
% 0.62/0.81 % (19819)------------------------------
% 0.62/0.81 % (19823)Refutation not found, incomplete strategy% (19823)------------------------------
% 0.62/0.81 % (19823)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81 % (19823)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81
% 0.62/0.81 % (19823)Memory used [KB]: 1050
% 0.62/0.81 % (19823)Time elapsed: 0.027 s
% 0.62/0.81 % (19823)Instructions burned: 4 (million)
% 0.62/0.81 % (19823)------------------------------
% 0.62/0.81 % (19823)------------------------------
% 0.62/0.81 % (19825)First to succeed.
% 0.62/0.81 % (19821)Also succeeded, but the first one will report.
% 0.62/0.81 % (19825)Refutation found. Thanks to Tanya!
% 0.62/0.81 % SZS status Theorem for Vampire---4
% 0.62/0.81 % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.81 % (19825)------------------------------
% 0.62/0.81 % (19825)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81 % (19825)Termination reason: Refutation
% 0.62/0.81
% 0.62/0.81 % (19825)Memory used [KB]: 1048
% 0.62/0.81 % (19825)Time elapsed: 0.027 s
% 0.62/0.81 % (19825)Instructions burned: 5 (million)
% 0.62/0.81 % (19825)------------------------------
% 0.62/0.81 % (19825)------------------------------
% 0.62/0.81 % (19817)Success in time 0.501 s
% 0.62/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------