TSTP Solution File: NUM340+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM340+1 : TPTP v8.1.2. Released v3.1.0.
% 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 : n004.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 08:09:23 EDT 2024
% Result : Theorem 0.64s 0.81s
% Output : Refutation 0.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 31 ( 13 unt; 0 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 85 ( 40 ~; 30 |; 8 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 91 ( 89 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f673,plain,
$false,
inference(unit_resulting_resolution,[],[f455,f455,f661,f583]) ).
fof(f583,plain,
! [X2,X3,X0,X1,X4] :
( ~ rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0))
| rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3)) ),
inference(cnf_transformation,[],[f443]) ).
fof(f443,plain,
! [X0,X1,X2,X3,X4] :
( rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3))
| ~ rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0)) ),
inference(flattening,[],[f442]) ).
fof(f442,plain,
! [X0,X1,X2,X3,X4] :
( rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3))
| ~ rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0)) ),
inference(ennf_transformation,[],[f415]) ).
fof(f415,plain,
! [X0,X1,X2,X3,X4] :
( ( rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0))
& rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0)) )
=> rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3)) ),
inference(rectify,[],[f297]) ).
fof(f297,axiom,
! [X20,X21,X22,X23,X24] :
( ( rdn_digit_add(rdnn(X24),rdnn(X20),rdnn(X23),rdnn(n0))
& rdn_digit_add(rdnn(X21),rdnn(X22),rdnn(X24),rdnn(n0)) )
=> rdn_add_with_carry(rdnn(X20),rdnn(X21),rdnn(X22),rdnn(X23)) ),
file('/export/starexec/sandbox2/tmp/tmp.NpRSXyIVse/Vampire---4.8_6883',add_digit_digit_digit) ).
fof(f661,plain,
~ rdn_add_with_carry(rdnn(n0),rdnn(n0),rdnn(n0),rdnn(n0)),
inference(unit_resulting_resolution,[],[f456,f651,f615]) ).
fof(f615,plain,
! [X3,X0,X4,X5] :
( ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X0,rdn_pos(X3))
| sP9(X5,X4,X0) ),
inference(cnf_transformation,[],[f615_D]) ).
fof(f615_D,plain,
! [X0,X4,X5] :
( ! [X3] :
( ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X0,rdn_pos(X3)) )
<=> ~ sP9(X5,X4,X0) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP9])]) ).
fof(f651,plain,
~ sP9(rdnn(n0),rdnn(n0),n0),
inference(unit_resulting_resolution,[],[f456,f640,f616]) ).
fof(f616,plain,
! [X0,X1,X4,X5] :
( ~ sP9(X5,X4,X0)
| ~ sP8(X5,X0,X1)
| ~ rdn_translate(X1,rdn_pos(X4)) ),
inference(general_splitting,[],[f614,f615_D]) ).
fof(f614,plain,
! [X3,X0,X1,X4,X5] :
( ~ rdn_translate(X0,rdn_pos(X3))
| ~ rdn_translate(X1,rdn_pos(X4))
| ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ sP8(X5,X0,X1) ),
inference(general_splitting,[],[f560,f613_D]) ).
fof(f613,plain,
! [X2,X0,X1,X5] :
( ~ rdn_translate(X2,rdn_pos(X5))
| sum(X0,X1,X2)
| sP8(X5,X0,X1) ),
inference(cnf_transformation,[],[f613_D]) ).
fof(f613_D,plain,
! [X1,X0,X5] :
( ! [X2] :
( ~ rdn_translate(X2,rdn_pos(X5))
| sum(X0,X1,X2) )
<=> ~ sP8(X5,X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP8])]) ).
fof(f560,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rdn_translate(X0,rdn_pos(X3))
| ~ rdn_translate(X1,rdn_pos(X4))
| ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X2,rdn_pos(X5))
| sum(X0,X1,X2) ),
inference(cnf_transformation,[],[f431]) ).
fof(f431,plain,
! [X0,X1,X2,X3,X4,X5] :
( sum(X0,X1,X2)
| ~ rdn_translate(X2,rdn_pos(X5))
| ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X1,rdn_pos(X4))
| ~ rdn_translate(X0,rdn_pos(X3)) ),
inference(flattening,[],[f430]) ).
fof(f430,plain,
! [X0,X1,X2,X3,X4,X5] :
( sum(X0,X1,X2)
| ~ rdn_translate(X2,rdn_pos(X5))
| ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X1,rdn_pos(X4))
| ~ rdn_translate(X0,rdn_pos(X3)) ),
inference(ennf_transformation,[],[f409]) ).
fof(f409,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( rdn_translate(X2,rdn_pos(X5))
& rdn_add_with_carry(rdnn(n0),X3,X4,X5)
& rdn_translate(X1,rdn_pos(X4))
& rdn_translate(X0,rdn_pos(X3)) )
=> sum(X0,X1,X2) ),
inference(rectify,[],[f287]) ).
fof(f287,axiom,
! [X0,X1,X2,X9,X10,X11] :
( ( rdn_translate(X2,rdn_pos(X11))
& rdn_add_with_carry(rdnn(n0),X9,X10,X11)
& rdn_translate(X1,rdn_pos(X10))
& rdn_translate(X0,rdn_pos(X9)) )
=> sum(X0,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.NpRSXyIVse/Vampire---4.8_6883',sum_entry_point_pos_pos) ).
fof(f640,plain,
sP8(rdnn(n0),n0,n0),
inference(unit_resulting_resolution,[],[f456,f627,f613]) ).
fof(f627,plain,
! [X0] : ~ sum(n0,X0,X0),
inference(unit_resulting_resolution,[],[f449,f458]) ).
fof(f458,plain,
! [X2,X0,X1] :
( difference(X0,X1,X2)
| ~ sum(X1,X2,X0) ),
inference(cnf_transformation,[],[f296]) ).
fof(f296,axiom,
! [X0,X1,X2] :
( sum(X1,X2,X0)
<=> difference(X0,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.NpRSXyIVse/Vampire---4.8_6883',minus_entry_point) ).
fof(f449,plain,
! [X0] : ~ difference(X0,n0,X0),
inference(cnf_transformation,[],[f419]) ).
fof(f419,plain,
! [X0] : ~ difference(X0,n0,X0),
inference(ennf_transformation,[],[f403]) ).
fof(f403,negated_conjecture,
~ ? [X0] : difference(X0,n0,X0),
inference(negated_conjecture,[],[f402]) ).
fof(f402,conjecture,
? [X0] : difference(X0,n0,X0),
file('/export/starexec/sandbox2/tmp/tmp.NpRSXyIVse/Vampire---4.8_6883',diff_zero_identity) ).
fof(f456,plain,
rdn_translate(n0,rdn_pos(rdnn(n0))),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
rdn_translate(n0,rdn_pos(rdnn(n0))),
file('/export/starexec/sandbox2/tmp/tmp.NpRSXyIVse/Vampire---4.8_6883',rdn0) ).
fof(f455,plain,
rdn_digit_add(rdnn(n0),rdnn(n0),rdnn(n0),rdnn(n0)),
inference(cnf_transformation,[],[f302]) ).
fof(f302,axiom,
rdn_digit_add(rdnn(n0),rdnn(n0),rdnn(n0),rdnn(n0)),
file('/export/starexec/sandbox2/tmp/tmp.NpRSXyIVse/Vampire---4.8_6883',rdn_digit_add_n0_n0_n0_n0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : NUM340+1 : TPTP v8.1.2. Released v3.1.0.
% 0.12/0.14 % 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
% 0.15/0.35 % Computer : n004.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 14:05:23 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 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.NpRSXyIVse/Vampire---4.8_6883
% 0.64/0.80 % (7082)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)
% 0.64/0.80 % (7083)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)
% 0.64/0.80 % (7084)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.64/0.80 % (7086)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)
% 0.64/0.80 % (7085)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)
% 0.64/0.80 % (7087)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)
% 0.64/0.80 % (7088)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)
% 0.64/0.80 % (7082)Refutation not found, incomplete strategy% (7082)------------------------------
% 0.64/0.80 % (7082)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.80 % (7082)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.80 % (7085)Refutation not found, incomplete strategy% (7085)------------------------------
% 0.64/0.80 % (7085)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.80 % (7085)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.80
% 0.64/0.80 % (7085)Memory used [KB]: 1254
% 0.64/0.80 % (7085)Time elapsed: 0.003 s
% 0.64/0.80 % (7085)Instructions burned: 3 (million)
% 0.64/0.80
% 0.64/0.80 % (7082)Memory used [KB]: 1260
% 0.64/0.80 % (7082)Time elapsed: 0.003 s
% 0.64/0.80 % (7082)Instructions burned: 4 (million)
% 0.64/0.80 % (7084)Refutation not found, incomplete strategy% (7084)------------------------------
% 0.64/0.80 % (7084)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.80 % (7084)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.80
% 0.64/0.80 % (7084)Memory used [KB]: 1271
% 0.64/0.80 % (7085)------------------------------
% 0.64/0.80 % (7085)------------------------------
% 0.64/0.80 % (7084)Time elapsed: 0.004 s
% 0.64/0.80 % (7084)Instructions burned: 3 (million)
% 0.64/0.80 % (7082)------------------------------
% 0.64/0.80 % (7082)------------------------------
% 0.64/0.80 % (7089)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)
% 0.64/0.80 % (7087)Refutation not found, incomplete strategy% (7087)------------------------------
% 0.64/0.80 % (7087)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.80 % (7087)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.80
% 0.64/0.80 % (7087)Memory used [KB]: 1276
% 0.64/0.80 % (7087)Time elapsed: 0.004 s
% 0.64/0.80 % (7087)Instructions burned: 4 (million)
% 0.64/0.80 % (7084)------------------------------
% 0.64/0.80 % (7084)------------------------------
% 0.64/0.80 % (7087)------------------------------
% 0.64/0.80 % (7087)------------------------------
% 0.64/0.80 % (7089)Refutation not found, incomplete strategy% (7089)------------------------------
% 0.64/0.80 % (7089)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.80 % (7089)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.80
% 0.64/0.80 % (7089)Memory used [KB]: 1276
% 0.64/0.80 % (7089)Time elapsed: 0.003 s
% 0.64/0.80 % (7089)Instructions burned: 4 (million)
% 0.64/0.80 % (7089)------------------------------
% 0.64/0.80 % (7089)------------------------------
% 0.64/0.80 % (7091)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)
% 0.64/0.80 % (7093)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)
% 0.64/0.80 % (7092)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)
% 0.64/0.80 % (7094)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 (2995ds/52Mi)
% 0.64/0.80 % (7091)Refutation not found, incomplete strategy% (7091)------------------------------
% 0.64/0.80 % (7091)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.80 % (7091)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.80
% 0.64/0.80 % (7091)Memory used [KB]: 1251
% 0.64/0.80 % (7091)Time elapsed: 0.003 s
% 0.64/0.80 % (7091)Instructions burned: 3 (million)
% 0.64/0.80 % (7091)------------------------------
% 0.64/0.80 % (7091)------------------------------
% 0.64/0.80 % (7093)Refutation not found, incomplete strategy% (7093)------------------------------
% 0.64/0.80 % (7093)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.80 % (7093)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.80
% 0.64/0.80 % (7093)Memory used [KB]: 1260
% 0.64/0.80 % (7093)Time elapsed: 0.003 s
% 0.64/0.80 % (7093)Instructions burned: 4 (million)
% 0.64/0.80 % (7088)First to succeed.
% 0.64/0.80 % (7095)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.64/0.80 % (7093)------------------------------
% 0.64/0.80 % (7093)------------------------------
% 0.64/0.80 % (7088)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7023"
% 0.64/0.81 % (7088)Refutation found. Thanks to Tanya!
% 0.64/0.81 % SZS status Theorem for Vampire---4
% 0.64/0.81 % SZS output start Proof for Vampire---4
% See solution above
% 0.64/0.81 % (7088)------------------------------
% 0.64/0.81 % (7088)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.81 % (7088)Termination reason: Refutation
% 0.64/0.81
% 0.64/0.81 % (7088)Memory used [KB]: 1393
% 0.64/0.81 % (7088)Time elapsed: 0.010 s
% 0.64/0.81 % (7088)Instructions burned: 16 (million)
% 0.64/0.81 % (7023)Success in time 0.44 s
% 0.64/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------