TSTP Solution File: NUM315+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM315+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 : n024.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 03:28:25 EDT 2024
% Result : Theorem 0.61s 0.82s
% Output : Refutation 0.61s
% 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 : 9 ( 9 usr; 7 con; 0-1 aty)
% Number of variables : 80 ( 80 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f635,plain,
$false,
inference(unit_resulting_resolution,[],[f539,f501,f632,f482]) ).
fof(f482,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.zXnYDsTZaU/Vampire---4.8_10633',add_digit_digit_digit) ).
fof(f632,plain,
~ rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n5),rdnn(n7)),
inference(unit_resulting_resolution,[],[f456,f631,f612]) ).
fof(f612,plain,
! [X3,X0,X4,X5] :
( ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X0,rdn_neg(X3))
| sP7(X5,X4,X0) ),
inference(cnf_transformation,[],[f612_D]) ).
fof(f612_D,plain,
! [X0,X4,X5] :
( ! [X3] :
( ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X0,rdn_neg(X3)) )
<=> ~ sP7(X5,X4,X0) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP7])]) ).
fof(f631,plain,
~ sP7(rdnn(n7),rdnn(n5),nn2),
inference(unit_resulting_resolution,[],[f457,f629,f613]) ).
fof(f613,plain,
! [X0,X1,X4,X5] :
( ~ sP7(X5,X4,X0)
| ~ sP6(X5,X0,X1)
| ~ rdn_translate(X1,rdn_neg(X4)) ),
inference(general_splitting,[],[f611,f612_D]) ).
fof(f611,plain,
! [X3,X0,X1,X4,X5] :
( ~ rdn_translate(X0,rdn_neg(X3))
| ~ rdn_translate(X1,rdn_neg(X4))
| ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ sP6(X5,X0,X1) ),
inference(general_splitting,[],[f454,f610_D]) ).
fof(f610,plain,
! [X2,X0,X1,X5] :
( ~ rdn_translate(X2,rdn_neg(X5))
| sum(X0,X1,X2)
| sP6(X5,X0,X1) ),
inference(cnf_transformation,[],[f610_D]) ).
fof(f610_D,plain,
! [X1,X0,X5] :
( ! [X2] :
( ~ rdn_translate(X2,rdn_neg(X5))
| sum(X0,X1,X2) )
<=> ~ sP6(X5,X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP6])]) ).
fof(f454,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rdn_translate(X0,rdn_neg(X3))
| ~ rdn_translate(X1,rdn_neg(X4))
| ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X2,rdn_neg(X5))
| sum(X0,X1,X2) ),
inference(cnf_transformation,[],[f429]) ).
fof(f429,plain,
! [X0,X1,X2,X3,X4,X5] :
( sum(X0,X1,X2)
| ~ rdn_translate(X2,rdn_neg(X5))
| ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X1,rdn_neg(X4))
| ~ rdn_translate(X0,rdn_neg(X3)) ),
inference(flattening,[],[f428]) ).
fof(f428,plain,
! [X0,X1,X2,X3,X4,X5] :
( sum(X0,X1,X2)
| ~ rdn_translate(X2,rdn_neg(X5))
| ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X1,rdn_neg(X4))
| ~ rdn_translate(X0,rdn_neg(X3)) ),
inference(ennf_transformation,[],[f409]) ).
fof(f409,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( rdn_translate(X2,rdn_neg(X5))
& rdn_add_with_carry(rdnn(n0),X3,X4,X5)
& rdn_translate(X1,rdn_neg(X4))
& rdn_translate(X0,rdn_neg(X3)) )
=> sum(X0,X1,X2) ),
inference(rectify,[],[f288]) ).
fof(f288,axiom,
! [X0,X1,X2,X9,X10,X11] :
( ( rdn_translate(X2,rdn_neg(X11))
& rdn_add_with_carry(rdnn(n0),X9,X10,X11)
& rdn_translate(X1,rdn_neg(X10))
& rdn_translate(X0,rdn_neg(X9)) )
=> sum(X0,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.zXnYDsTZaU/Vampire---4.8_10633',sum_entry_point_neg_neg) ).
fof(f629,plain,
sP6(rdnn(n7),nn2,nn5),
inference(unit_resulting_resolution,[],[f458,f449,f610]) ).
fof(f449,plain,
~ sum(nn2,nn5,nn7),
inference(cnf_transformation,[],[f404]) ).
fof(f404,plain,
~ sum(nn2,nn5,nn7),
inference(flattening,[],[f403]) ).
fof(f403,negated_conjecture,
~ sum(nn2,nn5,nn7),
inference(negated_conjecture,[],[f402]) ).
fof(f402,conjecture,
sum(nn2,nn5,nn7),
file('/export/starexec/sandbox2/tmp/tmp.zXnYDsTZaU/Vampire---4.8_10633',sum_nn2_nn5_nn7) ).
fof(f458,plain,
rdn_translate(nn7,rdn_neg(rdnn(n7))),
inference(cnf_transformation,[],[f135]) ).
fof(f135,axiom,
rdn_translate(nn7,rdn_neg(rdnn(n7))),
file('/export/starexec/sandbox2/tmp/tmp.zXnYDsTZaU/Vampire---4.8_10633',rdnn7) ).
fof(f457,plain,
rdn_translate(nn5,rdn_neg(rdnn(n5))),
inference(cnf_transformation,[],[f133]) ).
fof(f133,axiom,
rdn_translate(nn5,rdn_neg(rdnn(n5))),
file('/export/starexec/sandbox2/tmp/tmp.zXnYDsTZaU/Vampire---4.8_10633',rdnn5) ).
fof(f456,plain,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
inference(cnf_transformation,[],[f130]) ).
fof(f130,axiom,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
file('/export/starexec/sandbox2/tmp/tmp.zXnYDsTZaU/Vampire---4.8_10633',rdnn2) ).
fof(f501,plain,
rdn_digit_add(rdnn(n2),rdnn(n5),rdnn(n7),rdnn(n0)),
inference(cnf_transformation,[],[f327]) ).
fof(f327,axiom,
rdn_digit_add(rdnn(n2),rdnn(n5),rdnn(n7),rdnn(n0)),
file('/export/starexec/sandbox2/tmp/tmp.zXnYDsTZaU/Vampire---4.8_10633',rdn_digit_add_n2_n5_n7_n0) ).
fof(f539,plain,
rdn_digit_add(rdnn(n7),rdnn(n0),rdnn(n7),rdnn(n0)),
inference(cnf_transformation,[],[f372]) ).
fof(f372,axiom,
rdn_digit_add(rdnn(n7),rdnn(n0),rdnn(n7),rdnn(n0)),
file('/export/starexec/sandbox2/tmp/tmp.zXnYDsTZaU/Vampire---4.8_10633',rdn_digit_add_n7_n0_n7_n0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : NUM315+1 : TPTP v8.1.2. Released v3.1.0.
% 0.02/0.11 % 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
% 0.11/0.31 % Computer : n024.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Apr 30 16:50:51 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.11/0.31 This is a FOF_THM_RFO_SEQ problem
% 0.11/0.32 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.zXnYDsTZaU/Vampire---4.8_10633
% 0.61/0.81 % (10747)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 % (10749)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)
% 0.61/0.81 % (10744)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 % (10746)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 % (10748)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)
% 0.61/0.81 % (10745)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 % (10750)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 % (10751)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)
% 0.61/0.81 % (10747)Refutation not found, incomplete strategy% (10747)------------------------------
% 0.61/0.81 % (10747)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81 % (10749)Refutation not found, incomplete strategy% (10749)------------------------------
% 0.61/0.81 % (10749)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81 % (10749)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81
% 0.61/0.81 % (10749)Memory used [KB]: 1283
% 0.61/0.81 % (10749)Time elapsed: 0.003 s
% 0.61/0.81 % (10749)Instructions burned: 4 (million)
% 0.61/0.81 % (10749)------------------------------
% 0.61/0.81 % (10749)------------------------------
% 0.61/0.81 % (10747)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81
% 0.61/0.81 % (10747)Memory used [KB]: 1274
% 0.61/0.81 % (10747)Time elapsed: 0.004 s
% 0.61/0.81 % (10747)Instructions burned: 4 (million)
% 0.61/0.81 % (10747)------------------------------
% 0.61/0.81 % (10747)------------------------------
% 0.61/0.81 % (10746)Refutation not found, incomplete strategy% (10746)------------------------------
% 0.61/0.81 % (10746)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81 % (10746)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81
% 0.61/0.81 % (10746)Memory used [KB]: 1283
% 0.61/0.81 % (10746)Time elapsed: 0.004 s
% 0.61/0.81 % (10746)Instructions burned: 4 (million)
% 0.61/0.81 % (10746)------------------------------
% 0.61/0.81 % (10746)------------------------------
% 0.61/0.81 % (10751)Refutation not found, incomplete strategy% (10751)------------------------------
% 0.61/0.81 % (10751)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81 % (10751)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81
% 0.61/0.81 % (10751)Memory used [KB]: 1279
% 0.61/0.81 % (10744)Refutation not found, incomplete strategy% (10744)------------------------------
% 0.61/0.81 % (10744)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81 % (10744)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81
% 0.61/0.81 % (10744)Memory used [KB]: 1280
% 0.61/0.81 % (10744)Time elapsed: 0.004 s
% 0.61/0.81 % (10744)Instructions burned: 5 (million)
% 0.61/0.81 % (10744)------------------------------
% 0.61/0.81 % (10744)------------------------------
% 0.61/0.81 % (10751)Time elapsed: 0.003 s
% 0.61/0.81 % (10751)Instructions burned: 4 (million)
% 0.61/0.81 % (10751)------------------------------
% 0.61/0.81 % (10751)------------------------------
% 0.61/0.82 % (10755)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)
% 0.61/0.82 % (10752)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)
% 0.61/0.82 % (10753)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)
% 0.61/0.82 % (10756)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)
% 0.61/0.82 % (10757)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)
% 0.61/0.82 % (10750)First to succeed.
% 0.61/0.82 % (10752)Refutation not found, incomplete strategy% (10752)------------------------------
% 0.61/0.82 % (10752)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82 % (10752)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82
% 0.61/0.82 % (10752)Memory used [KB]: 1271
% 0.61/0.82 % (10752)Time elapsed: 0.003 s
% 0.61/0.82 % (10752)Instructions burned: 3 (million)
% 0.61/0.82 % (10752)------------------------------
% 0.61/0.82 % (10752)------------------------------
% 0.61/0.82 % (10750)Refutation found. Thanks to Tanya!
% 0.61/0.82 % SZS status Theorem for Vampire---4
% 0.61/0.82 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.82 % (10750)------------------------------
% 0.61/0.82 % (10750)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82 % (10750)Termination reason: Refutation
% 0.61/0.82
% 0.61/0.82 % (10750)Memory used [KB]: 1356
% 0.61/0.82 % (10750)Time elapsed: 0.009 s
% 0.61/0.82 % (10750)Instructions burned: 15 (million)
% 0.61/0.82 % (10750)------------------------------
% 0.61/0.82 % (10750)------------------------------
% 0.61/0.82 % (10742)Success in time 0.5 s
% 0.61/0.82 % Vampire---4.8 exiting
%------------------------------------------------------------------------------