TSTP Solution File: NUM330+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM330+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n017.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 08:09:20 EDT 2024
% Result : Theorem 0.61s 0.81s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 34 ( 13 unt; 0 def)
% Number of atoms : 86 ( 9 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 97 ( 45 ~; 34 |; 12 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 89 ( 85 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f669,plain,
$false,
inference(unit_resulting_resolution,[],[f517,f489,f666,f608]) ).
fof(f608,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,[],[f461]) ).
fof(f461,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,[],[f460]) ).
fof(f460,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,[],[f421]) ).
fof(f421,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/sandbox/tmp/tmp.Inw7RraR2j/Vampire---4.8_27140',add_digit_digit_digit) ).
fof(f666,plain,
~ rdn_add_with_carry(rdnn(n0),rdnn(n4),rdnn(n4),rdnn(n8)),
inference(unit_resulting_resolution,[],[f501,f665,f643]) ).
fof(f643,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,[],[f643_D]) ).
fof(f643_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(f665,plain,
~ sP9(rdnn(n8),rdnn(n4),n4),
inference(unit_resulting_resolution,[],[f501,f664,f644]) ).
fof(f644,plain,
! [X0,X1,X4,X5] :
( ~ sP9(X5,X4,X0)
| ~ sP8(X5,X0,X1)
| ~ rdn_translate(X1,rdn_pos(X4)) ),
inference(general_splitting,[],[f642,f643_D]) ).
fof(f642,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,[],[f507,f641_D]) ).
fof(f641,plain,
! [X2,X0,X1,X5] :
( ~ rdn_translate(X2,rdn_pos(X5))
| sum(X0,X1,X2)
| sP8(X5,X0,X1) ),
inference(cnf_transformation,[],[f641_D]) ).
fof(f641_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(f507,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,[],[f443]) ).
fof(f443,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,[],[f442]) ).
fof(f442,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,[],[f412]) ).
fof(f412,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/sandbox/tmp/tmp.Inw7RraR2j/Vampire---4.8_27140',sum_entry_point_pos_pos) ).
fof(f664,plain,
sP8(rdnn(n8),n4,n4),
inference(unit_resulting_resolution,[],[f530,f623,f641]) ).
fof(f623,plain,
~ sum(n4,n4,n8),
inference(equality_resolution,[],[f622]) ).
fof(f622,plain,
! [X1] :
( ~ sum(n4,X1,n8)
| n4 != X1 ),
inference(equality_resolution,[],[f467]) ).
fof(f467,plain,
! [X0,X1] :
( ~ sum(X0,X1,n8)
| n4 != X0
| n4 != X1 ),
inference(cnf_transformation,[],[f425]) ).
fof(f425,plain,
! [X0,X1] :
( n4 != X1
| n4 != X0
| ~ sum(X0,X1,n8) ),
inference(ennf_transformation,[],[f403]) ).
fof(f403,negated_conjecture,
~ ? [X0,X1] :
( n4 = X1
& n4 = X0
& sum(X0,X1,n8) ),
inference(negated_conjecture,[],[f402]) ).
fof(f402,conjecture,
? [X0,X1] :
( n4 = X1
& n4 = X0
& sum(X0,X1,n8) ),
file('/export/starexec/sandbox/tmp/tmp.Inw7RraR2j/Vampire---4.8_27140',sum_n4_n4_n8) ).
fof(f530,plain,
rdn_translate(n8,rdn_pos(rdnn(n8))),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
rdn_translate(n8,rdn_pos(rdnn(n8))),
file('/export/starexec/sandbox/tmp/tmp.Inw7RraR2j/Vampire---4.8_27140',rdn8) ).
fof(f501,plain,
rdn_translate(n4,rdn_pos(rdnn(n4))),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
rdn_translate(n4,rdn_pos(rdnn(n4))),
file('/export/starexec/sandbox/tmp/tmp.Inw7RraR2j/Vampire---4.8_27140',rdn4) ).
fof(f489,plain,
rdn_digit_add(rdnn(n4),rdnn(n4),rdnn(n8),rdnn(n0)),
inference(cnf_transformation,[],[f346]) ).
fof(f346,axiom,
rdn_digit_add(rdnn(n4),rdnn(n4),rdnn(n8),rdnn(n0)),
file('/export/starexec/sandbox/tmp/tmp.Inw7RraR2j/Vampire---4.8_27140',rdn_digit_add_n4_n4_n8_n0) ).
fof(f517,plain,
rdn_digit_add(rdnn(n8),rdnn(n0),rdnn(n8),rdnn(n0)),
inference(cnf_transformation,[],[f382]) ).
fof(f382,axiom,
rdn_digit_add(rdnn(n8),rdnn(n0),rdnn(n8),rdnn(n0)),
file('/export/starexec/sandbox/tmp/tmp.Inw7RraR2j/Vampire---4.8_27140',rdn_digit_add_n8_n0_n8_n0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM330+1 : TPTP v8.1.2. Released v3.1.0.
% 0.11/0.14 % 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
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 15:42:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35 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.Inw7RraR2j/Vampire---4.8_27140
% 0.61/0.81 % (27255)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)
% 0.61/0.81 % (27249)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)
% 0.61/0.81 % (27252)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)
% 0.61/0.81 % (27250)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)
% 0.61/0.81 % (27251)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.81 % (27252)Refutation not found, incomplete strategy% (27252)------------------------------
% 0.61/0.81 % (27252)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81 % (27252)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81
% 0.61/0.81 % (27252)Memory used [KB]: 1280
% 0.61/0.81 % (27252)Time elapsed: 0.004 s
% 0.61/0.81 % (27252)Instructions burned: 4 (million)
% 0.61/0.81 % (27249)Refutation not found, incomplete strategy% (27249)------------------------------
% 0.61/0.81 % (27249)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81 % (27249)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81
% 0.61/0.81 % (27249)Memory used [KB]: 1285
% 0.61/0.81 % (27249)Time elapsed: 0.004 s
% 0.61/0.81 % (27249)Instructions burned: 5 (million)
% 0.61/0.81 % (27252)------------------------------
% 0.61/0.81 % (27252)------------------------------
% 0.61/0.81 % (27249)------------------------------
% 0.61/0.81 % (27249)------------------------------
% 0.61/0.81 % (27255)First to succeed.
% 0.61/0.81 % (27255)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27248"
% 0.61/0.81 % (27255)Refutation found. Thanks to Tanya!
% 0.61/0.81 % SZS status Theorem for Vampire---4
% 0.61/0.81 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.81 % (27255)------------------------------
% 0.61/0.81 % (27255)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81 % (27255)Termination reason: Refutation
% 0.61/0.81
% 0.61/0.81 % (27255)Memory used [KB]: 1360
% 0.61/0.81 % (27255)Time elapsed: 0.007 s
% 0.61/0.81 % (27255)Instructions burned: 18 (million)
% 0.61/0.81 % (27248)Success in time 0.453 s
% 0.61/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------