TSTP Solution File: NUM305+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM305+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 : n009.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 03:28:23 EDT 2024
% Result : Theorem 0.56s 0.74s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 34 ( 18 unt; 0 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 81 ( 38 ~; 29 |; 8 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 80 ( 80 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f631,plain,
$false,
inference(unit_resulting_resolution,[],[f517,f470,f628,f581]) ).
fof(f581,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,[],[f416]) ).
fof(f416,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.vNlCJVC9Xt/Vampire---4.8_25617',add_digit_digit_digit) ).
fof(f628,plain,
~ rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n3),rdnn(n5)),
inference(unit_resulting_resolution,[],[f477,f627,f613]) ).
fof(f613,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,[],[f613_D]) ).
fof(f613_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(f627,plain,
~ sP9(rdnn(n5),rdnn(n3),n2),
inference(unit_resulting_resolution,[],[f499,f626,f614]) ).
fof(f614,plain,
! [X0,X1,X4,X5] :
( ~ sP9(X5,X4,X0)
| ~ sP8(X5,X0,X1)
| ~ rdn_translate(X1,rdn_pos(X4)) ),
inference(general_splitting,[],[f612,f613_D]) ).
fof(f612,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,[],[f505,f611_D]) ).
fof(f611,plain,
! [X2,X0,X1,X5] :
( ~ rdn_translate(X2,rdn_pos(X5))
| sum(X0,X1,X2)
| sP8(X5,X0,X1) ),
inference(cnf_transformation,[],[f611_D]) ).
fof(f611_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(f505,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,[],[f410]) ).
fof(f410,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.vNlCJVC9Xt/Vampire---4.8_25617',sum_entry_point_pos_pos) ).
fof(f626,plain,
sP8(rdnn(n5),n2,n3),
inference(unit_resulting_resolution,[],[f523,f449,f611]) ).
fof(f449,plain,
~ sum(n2,n3,n5),
inference(cnf_transformation,[],[f404]) ).
fof(f404,plain,
~ sum(n2,n3,n5),
inference(flattening,[],[f403]) ).
fof(f403,negated_conjecture,
~ sum(n2,n3,n5),
inference(negated_conjecture,[],[f402]) ).
fof(f402,conjecture,
sum(n2,n3,n5),
file('/export/starexec/sandbox2/tmp/tmp.vNlCJVC9Xt/Vampire---4.8_25617',sum_n2_n3_n5) ).
fof(f523,plain,
rdn_translate(n5,rdn_pos(rdnn(n5))),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
rdn_translate(n5,rdn_pos(rdnn(n5))),
file('/export/starexec/sandbox2/tmp/tmp.vNlCJVC9Xt/Vampire---4.8_25617',rdn5) ).
fof(f499,plain,
rdn_translate(n3,rdn_pos(rdnn(n3))),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
rdn_translate(n3,rdn_pos(rdnn(n3))),
file('/export/starexec/sandbox2/tmp/tmp.vNlCJVC9Xt/Vampire---4.8_25617',rdn3) ).
fof(f477,plain,
rdn_translate(n2,rdn_pos(rdnn(n2))),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
rdn_translate(n2,rdn_pos(rdnn(n2))),
file('/export/starexec/sandbox2/tmp/tmp.vNlCJVC9Xt/Vampire---4.8_25617',rdn2) ).
fof(f470,plain,
rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
inference(cnf_transformation,[],[f325]) ).
fof(f325,axiom,
rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
file('/export/starexec/sandbox2/tmp/tmp.vNlCJVC9Xt/Vampire---4.8_25617',rdn_digit_add_n2_n3_n5_n0) ).
fof(f517,plain,
rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
inference(cnf_transformation,[],[f352]) ).
fof(f352,axiom,
rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
file('/export/starexec/sandbox2/tmp/tmp.vNlCJVC9Xt/Vampire---4.8_25617',rdn_digit_add_n5_n0_n5_n0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : NUM305+1 : TPTP v8.1.2. Released v3.1.0.
% 0.10/0.14 % 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 : n009.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 : Tue Apr 30 16:50:11 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 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.vNlCJVC9Xt/Vampire---4.8_25617
% 0.56/0.74 % (25980)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)
% 0.56/0.74 % (25974)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)
% 0.56/0.74 % (25976)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.74 % (25977)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)
% 0.56/0.74 % (25975)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)
% 0.56/0.74 % (25978)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)
% 0.56/0.74 % (25979)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)
% 0.56/0.74 % (25976)Refutation not found, incomplete strategy% (25976)------------------------------
% 0.56/0.74 % (25976)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74 % (25976)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (25976)Memory used [KB]: 1273
% 0.56/0.74 % (25977)Refutation not found, incomplete strategy% (25977)------------------------------
% 0.56/0.74 % (25977)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74 % (25977)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (25977)Memory used [KB]: 1275
% 0.56/0.74 % (25977)Time elapsed: 0.003 s
% 0.56/0.74 % (25977)Instructions burned: 4 (million)
% 0.56/0.74 % (25977)------------------------------
% 0.56/0.74 % (25977)------------------------------
% 0.56/0.74 % (25976)Time elapsed: 0.004 s
% 0.56/0.74 % (25976)Instructions burned: 4 (million)
% 0.56/0.74 % (25976)------------------------------
% 0.56/0.74 % (25976)------------------------------
% 0.56/0.74 % (25979)Refutation not found, incomplete strategy% (25979)------------------------------
% 0.56/0.74 % (25979)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74 % (25979)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (25979)Memory used [KB]: 1277
% 0.56/0.74 % (25979)Time elapsed: 0.003 s
% 0.56/0.74 % (25979)Instructions burned: 4 (million)
% 0.56/0.74 % (25979)------------------------------
% 0.56/0.74 % (25979)------------------------------
% 0.56/0.74 % (25974)Refutation not found, incomplete strategy% (25974)------------------------------
% 0.56/0.74 % (25974)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74 % (25974)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (25974)Memory used [KB]: 1288
% 0.56/0.74 % (25974)Time elapsed: 0.004 s
% 0.56/0.74 % (25974)Instructions burned: 5 (million)
% 0.56/0.74 % (25974)------------------------------
% 0.56/0.74 % (25974)------------------------------
% 0.56/0.74 % (25980)First to succeed.
% 0.56/0.74 % (25980)Refutation found. Thanks to Tanya!
% 0.56/0.74 % SZS status Theorem for Vampire---4
% 0.56/0.74 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.74 % (25980)------------------------------
% 0.56/0.74 % (25980)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74 % (25980)Termination reason: Refutation
% 0.56/0.74
% 0.56/0.74 % (25980)Memory used [KB]: 1355
% 0.56/0.74 % (25980)Time elapsed: 0.006 s
% 0.56/0.74 % (25980)Instructions burned: 15 (million)
% 0.56/0.74 % (25980)------------------------------
% 0.56/0.74 % (25980)------------------------------
% 0.56/0.74 % (25810)Success in time 0.382 s
% 0.56/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------