TSTP Solution File: NUM316+1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : NUM316+1 : TPTP v8.2.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% 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 : Mon Jun 24 13:12:24 EDT 2024
% Result : Theorem 0.22s 0.48s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 54 ( 23 unt; 0 def)
% Number of atoms : 123 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 126 ( 57 ~; 51 |; 11 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 3 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-1 aty)
% Number of variables : 76 ( 76 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f937,plain,
$false,
inference(avatar_sat_refutation,[],[f922,f932,f936]) ).
fof(f936,plain,
spl1_5,
inference(avatar_contradiction_clause,[],[f935]) ).
fof(f935,plain,
( $false
| spl1_5 ),
inference(subsumption_resolution,[],[f934,f755]) ).
fof(f755,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/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f934,plain,
( ~ rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0))
| spl1_5 ),
inference(resolution,[],[f933,f769]) ).
fof(f769,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/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f933,plain,
( ! [X0] :
( ~ rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(X0),rdnn(n0))
| ~ rdn_digit_add(rdnn(X0),rdnn(n0),rdnn(n5),rdnn(n0)) )
| spl1_5 ),
inference(resolution,[],[f921,f871]) ).
fof(f871,plain,
! [X2,X3,X0,X1,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(cnf_transformation,[],[f456]) ).
fof(f456,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,[],[f455]) ).
fof(f455,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,[],[f417]) ).
fof(f417,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/benchmark/theBenchmark.p',unknown) ).
fof(f921,plain,
( ~ rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n3),rdnn(n5))
| spl1_5 ),
inference(avatar_component_clause,[],[f919]) ).
fof(f919,plain,
( spl1_5
<=> rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n3),rdnn(n5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).
fof(f932,plain,
spl1_4,
inference(avatar_contradiction_clause,[],[f931]) ).
fof(f931,plain,
( $false
| spl1_4 ),
inference(subsumption_resolution,[],[f929,f490]) ).
fof(f490,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
inference(cnf_transformation,[],[f270]) ).
fof(f270,axiom,
rdn_positive_less(rdnn(n4),rdnn(n5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f929,plain,
( ~ rdn_positive_less(rdnn(n4),rdnn(n5))
| spl1_4 ),
inference(resolution,[],[f926,f487]) ).
fof(f487,plain,
rdn_positive_less(rdnn(n3),rdnn(n4)),
inference(cnf_transformation,[],[f269]) ).
fof(f269,axiom,
rdn_positive_less(rdnn(n3),rdnn(n4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f926,plain,
( ! [X0] :
( ~ rdn_positive_less(rdnn(n3),rdnn(X0))
| ~ rdn_positive_less(rdnn(X0),rdnn(n5)) )
| spl1_4 ),
inference(resolution,[],[f924,f860]) ).
fof(f860,plain,
! [X2,X0,X1] :
( rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1)) ),
inference(cnf_transformation,[],[f439]) ).
fof(f439,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1)) ),
inference(flattening,[],[f438]) ).
fof(f438,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1)) ),
inference(ennf_transformation,[],[f275]) ).
fof(f275,axiom,
! [X0,X1,X2] :
( ( rdn_positive_less(rdnn(X1),rdnn(X2))
& rdn_positive_less(rdnn(X0),rdnn(X1)) )
=> rdn_positive_less(rdnn(X0),rdnn(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f924,plain,
( ~ rdn_positive_less(rdnn(n3),rdnn(n5))
| spl1_4 ),
inference(resolution,[],[f923,f491]) ).
fof(f491,plain,
rdn_positive_less(rdnn(n2),rdnn(n3)),
inference(cnf_transformation,[],[f268]) ).
fof(f268,axiom,
rdn_positive_less(rdnn(n2),rdnn(n3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f923,plain,
( ! [X0] :
( ~ rdn_positive_less(rdnn(n2),rdnn(X0))
| ~ rdn_positive_less(rdnn(X0),rdnn(n5)) )
| spl1_4 ),
inference(resolution,[],[f917,f860]) ).
fof(f917,plain,
( ~ rdn_positive_less(rdnn(n2),rdnn(n5))
| spl1_4 ),
inference(avatar_component_clause,[],[f915]) ).
fof(f915,plain,
( spl1_4
<=> rdn_positive_less(rdnn(n2),rdnn(n5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
fof(f922,plain,
( ~ spl1_4
| ~ spl1_5 ),
inference(avatar_split_clause,[],[f913,f919,f915]) ).
fof(f913,plain,
( ~ rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n3),rdnn(n5))
| ~ rdn_positive_less(rdnn(n2),rdnn(n5)) ),
inference(resolution,[],[f912,f510]) ).
fof(f510,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/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f912,plain,
! [X0] :
( ~ rdn_translate(n2,rdn_pos(X0))
| ~ rdn_add_with_carry(rdnn(n0),X0,rdnn(n3),rdnn(n5))
| ~ rdn_positive_less(X0,rdnn(n5)) ),
inference(resolution,[],[f911,f502]) ).
fof(f502,plain,
rdn_translate(nn3,rdn_neg(rdnn(n3))),
inference(cnf_transformation,[],[f131]) ).
fof(f131,axiom,
rdn_translate(nn3,rdn_neg(rdnn(n3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f911,plain,
! [X0,X1] :
( ~ rdn_translate(nn3,rdn_neg(X1))
| ~ rdn_positive_less(X0,rdnn(n5))
| ~ rdn_add_with_carry(rdnn(n0),X0,X1,rdnn(n5))
| ~ rdn_translate(n2,rdn_pos(X0)) ),
inference(resolution,[],[f892,f501]) ).
fof(f501,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/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f892,plain,
! [X2,X0,X1] :
( ~ rdn_translate(nn5,rdn_neg(X2))
| ~ rdn_add_with_carry(rdnn(n0),X1,X0,X2)
| ~ rdn_positive_less(X1,X2)
| ~ rdn_translate(nn3,rdn_neg(X0))
| ~ rdn_translate(n2,rdn_pos(X1)) ),
inference(resolution,[],[f475,f874]) ).
fof(f874,plain,
! [X2,X3,X0,X1,X4,X5] :
( sum(X0,X1,X2)
| ~ rdn_translate(X2,rdn_neg(X5))
| ~ rdn_add_with_carry(rdnn(n0),X3,X5,X4)
| ~ rdn_positive_less(X3,X4)
| ~ rdn_translate(X1,rdn_neg(X4))
| ~ rdn_translate(X0,rdn_pos(X3)) ),
inference(cnf_transformation,[],[f461]) ).
fof(f461,plain,
! [X0,X1,X2,X3,X4,X5] :
( sum(X0,X1,X2)
| ~ rdn_translate(X2,rdn_neg(X5))
| ~ rdn_add_with_carry(rdnn(n0),X3,X5,X4)
| ~ rdn_positive_less(X3,X4)
| ~ rdn_translate(X1,rdn_neg(X4))
| ~ rdn_translate(X0,rdn_pos(X3)) ),
inference(flattening,[],[f460]) ).
fof(f460,plain,
! [X0,X1,X2,X3,X4,X5] :
( sum(X0,X1,X2)
| ~ rdn_translate(X2,rdn_neg(X5))
| ~ rdn_add_with_carry(rdnn(n0),X3,X5,X4)
| ~ rdn_positive_less(X3,X4)
| ~ rdn_translate(X1,rdn_neg(X4))
| ~ rdn_translate(X0,rdn_pos(X3)) ),
inference(ennf_transformation,[],[f420]) ).
fof(f420,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( rdn_translate(X2,rdn_neg(X5))
& rdn_add_with_carry(rdnn(n0),X3,X5,X4)
& rdn_positive_less(X3,X4)
& rdn_translate(X1,rdn_neg(X4))
& rdn_translate(X0,rdn_pos(X3)) )
=> sum(X0,X1,X2) ),
inference(rectify,[],[f289]) ).
fof(f289,axiom,
! [X0,X1,X2,X9,X10,X11] :
( ( rdn_translate(X2,rdn_neg(X11))
& rdn_add_with_carry(rdnn(n0),X9,X11,X10)
& rdn_positive_less(X9,X10)
& rdn_translate(X1,rdn_neg(X10))
& rdn_translate(X0,rdn_pos(X9)) )
=> sum(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f475,plain,
~ sum(n2,nn5,nn3),
inference(cnf_transformation,[],[f404]) ).
fof(f404,plain,
~ sum(n2,nn5,nn3),
inference(flattening,[],[f403]) ).
fof(f403,negated_conjecture,
~ sum(n2,nn5,nn3),
inference(negated_conjecture,[],[f402]) ).
fof(f402,conjecture,
sum(n2,nn5,nn3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM316+1 : TPTP v8.2.0. Released v3.1.0.
% 0.00/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jun 23 01:05:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.20/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.20/0.35 Running first-order theorem proving
% 0.20/0.35 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.43 % (16018)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (16023)dis+1011_3:1_sil=256000:tgt=ground:sac=on:i=109:sd=1:ss=included_0 on theBenchmark for (2999ds/109Mi)
% 0.22/0.43 % (16018)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (16022)lrs+10_1:3_drc=off:sil=256000:sp=unary_first:lwlo=on:i=216875:kws=precedence:ins=3:rawr=on:nwc=10.0_0 on theBenchmark for (2999ds/216875Mi)
% 0.22/0.43 % (16018)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (16024)dis+1010_1:1_sil=2000:nwc=3.0:s2a=on:i=132:ins=5:fsr=off:ss=axioms:sd=2:fd=off_0 on theBenchmark for (2999ds/132Mi)
% 0.22/0.43 % (16018)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (16021)lrs+1010_2201:262144_anc=all:drc=encompass:sil=256000:sims=off:sp=frequency:spb=goal_then_units:rp=on:lwlo=on:st=3.0:i=179501:bs=unit_only:nm=6:ins=2:fsd=on:ss=axioms:sgt=16:afr=on:tgt=ground:awrs=decay:awrsf=200:acc=on:ccuc=first_0 on theBenchmark for (2999ds/179501Mi)
% 0.22/0.43 % (16018)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (16020)dis+11_1:1_nwc=5.0:s2a=on:i=66616:s2at=3.0:sil=128000:bd=off_0 on theBenchmark for (2999ds/66616Mi)
% 0.22/0.43 % (16018)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (16025)dis+1010_159245:1048576_to=lpo:sil=2000:etr=on:sp=unary_frequency:spb=goal:rnwc=on:nwc=10.9066:st=2:i=124:sd=1:nm=3:av=off:ss=axioms:rawr=on:drc=encompass:foolp=on:sgt=5:cond=fast:er=filter:erape=on:erml=2:s2a=on_0 on theBenchmark for (2999ds/124Mi)
% 0.22/0.43 % (16023)Refutation not found, incomplete strategy% (16023)------------------------------
% 0.22/0.43 % (16023)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.43 % (16023)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.43 % (16023)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.43
% 0.22/0.43 % (16023)Memory used [KB]: 1324
% 0.22/0.43 % (16023)Time elapsed: 0.004 s
% 0.22/0.43 % (16023)Instructions burned: 3 (million)
% 0.22/0.43 % (16023)------------------------------
% 0.22/0.43 % (16023)------------------------------
% 0.22/0.43 % (16025)Refutation not found, incomplete strategy% (16025)------------------------------
% 0.22/0.43 % (16025)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.43 % (16025)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.43 % (16025)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.43
% 0.22/0.43 % (16025)Memory used [KB]: 1321
% 0.22/0.43 % (16025)Time elapsed: 0.004 s
% 0.22/0.43 % (16025)Instructions burned: 5 (million)
% 0.22/0.43 % (16024)Refutation not found, incomplete strategy% (16024)------------------------------
% 0.22/0.43 % (16024)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.43 % (16024)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.43 % (16024)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.43
% 0.22/0.43 % (16024)Memory used [KB]: 1340
% 0.22/0.43 % (16024)Time elapsed: 0.005 s
% 0.22/0.43 % (16024)Instructions burned: 5 (million)
% 0.22/0.43 % (16025)------------------------------
% 0.22/0.43 % (16025)------------------------------
% 0.22/0.43 % (16024)------------------------------
% 0.22/0.43 % (16024)------------------------------
% 0.22/0.44 % (16018)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44 % (16019)lrs+1011_1:12_anc=none:drc=off:sil=64000:sims=off:sp=unary_first:spb=goal_then_units:lsd=20:rnwc=on:nwc=2.0:i=53554:add=off:awrs=converge:bd=off:uhcvi=on:tgt=ground:afp=300:afq=1.63_0 on theBenchmark for (2999ds/53554Mi)
% 0.22/0.48 % (16018)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.48 % (16027)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:st=1.5:i=145:ss=axioms:sgt=4_0 on theBenchmark for (2999ds/145Mi)
% 0.22/0.48 % (16018)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.48 % (16026)lrs+1011_1:1_sil=16000:sos=on:erd=off:i=126:nm=2:ep=RST_0 on theBenchmark for (2999ds/126Mi)
% 0.22/0.48 % (16026)First to succeed.
% 0.22/0.48 % (16027)Also succeeded, but the first one will report.
% 0.22/0.48 % (16026)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16018"
% 0.22/0.48 % (16018)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.48 % (16026)Refutation found. Thanks to Tanya!
% 0.22/0.48 % SZS status Theorem for theBenchmark
% 0.22/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.48 % (16026)------------------------------
% 0.22/0.48 % (16026)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.48 % (16026)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.48 % (16026)Termination reason: Refutation
% 0.22/0.48
% 0.22/0.48 % (16026)Memory used [KB]: 1541
% 0.22/0.48 % (16026)Time elapsed: 0.007 s
% 0.22/0.48 % (16026)Instructions burned: 19 (million)
% 0.22/0.48 % (16026)------------------------------
% 0.22/0.48 % (16026)------------------------------
% 0.22/0.48 % (16018)Success in time 0.101 s
%------------------------------------------------------------------------------