TSTP Solution File: NUM337+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM337+1 : TPTP v8.2.0. 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 : n013.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 : Tue May 21 01:39:22 EDT 2024
% Result : Theorem 0.70s 0.87s
% Output : Refutation 0.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 44 ( 18 unt; 0 def)
% Number of atoms : 102 ( 9 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 104 ( 46 ~; 36 |; 11 &)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-1 aty)
% Number of variables : 109 ( 108 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f709,plain,
$false,
inference(unit_resulting_resolution,[],[f536,f488,f699,f611]) ).
fof(f611,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/sandbox2/benchmark/theBenchmark.p',add_digit_digit_digit) ).
fof(f699,plain,
~ rdn_add_with_carry(rdnn(n0),rdnn(n3),rdnn(n2),rdnn(n5)),
inference(unit_resulting_resolution,[],[f524,f698,f644]) ).
fof(f644,plain,
! [X3,X0,X4,X5] :
( ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X0,rdn_pos(X3))
| sP10(X5,X4,X0) ),
inference(cnf_transformation,[],[f644_D]) ).
fof(f644_D,plain,
! [X0,X4,X5] :
( ! [X3] :
( ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X0,rdn_pos(X3)) )
<=> ~ sP10(X5,X4,X0) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP10])]) ).
fof(f698,plain,
~ sP10(rdnn(n5),rdnn(n2),n3),
inference(unit_resulting_resolution,[],[f502,f695,f645]) ).
fof(f645,plain,
! [X0,X1,X4,X5] :
( ~ sP10(X5,X4,X0)
| ~ sP9(X5,X0,X1)
| ~ rdn_translate(X1,rdn_pos(X4)) ),
inference(general_splitting,[],[f643,f644_D]) ).
fof(f643,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)
| ~ sP9(X5,X0,X1) ),
inference(general_splitting,[],[f550,f642_D]) ).
fof(f642,plain,
! [X2,X0,X1,X5] :
( ~ rdn_translate(X2,rdn_pos(X5))
| sum(X0,X1,X2)
| sP9(X5,X0,X1) ),
inference(cnf_transformation,[],[f642_D]) ).
fof(f642_D,plain,
! [X1,X0,X5] :
( ! [X2] :
( ~ rdn_translate(X2,rdn_pos(X5))
| sum(X0,X1,X2) )
<=> ~ sP9(X5,X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP9])]) ).
fof(f550,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/sandbox2/benchmark/theBenchmark.p',sum_entry_point_pos_pos) ).
fof(f695,plain,
sP9(rdnn(n5),n3,n2),
inference(unit_resulting_resolution,[],[f542,f670,f642]) ).
fof(f670,plain,
~ sum(n3,n2,n5),
inference(unit_resulting_resolution,[],[f468,f664,f470]) ).
fof(f470,plain,
! [X2,X3,X0,X1] :
( ~ sum(X1,X2,X3)
| ~ sum(X0,X2,X3)
| X0 = X1 ),
inference(cnf_transformation,[],[f429]) ).
fof(f429,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ sum(X1,X2,X3)
| ~ sum(X0,X2,X3) ),
inference(flattening,[],[f428]) ).
fof(f428,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ sum(X1,X2,X3)
| ~ sum(X0,X2,X3) ),
inference(ennf_transformation,[],[f405]) ).
fof(f405,plain,
! [X0,X1,X2,X3] :
( ( sum(X1,X2,X3)
& sum(X0,X2,X3) )
=> X0 = X1 ),
inference(rectify,[],[f294]) ).
fof(f294,axiom,
! [X16,X17,X1,X2] :
( ( sum(X17,X1,X2)
& sum(X16,X1,X2) )
=> X16 = X17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_LHS) ).
fof(f664,plain,
sum(sK0,n2,n5),
inference(unit_resulting_resolution,[],[f467,f543]) ).
fof(f543,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/benchmark/theBenchmark.p',minus_entry_point) ).
fof(f467,plain,
difference(n5,sK0,n2),
inference(cnf_transformation,[],[f425]) ).
fof(f425,plain,
? [X0] :
( n3 != X0
& difference(n5,X0,n2) ),
inference(ennf_transformation,[],[f403]) ).
fof(f403,negated_conjecture,
~ ! [X0] :
( difference(n5,X0,n2)
=> n3 = X0 ),
inference(negated_conjecture,[],[f402]) ).
fof(f402,conjecture,
! [X0] :
( difference(n5,X0,n2)
=> n3 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diff_n5_only_n3_n2) ).
fof(f468,plain,
n3 != sK0,
inference(cnf_transformation,[],[f425]) ).
fof(f542,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/benchmark/theBenchmark.p',rdn5) ).
fof(f502,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/benchmark/theBenchmark.p',rdn2) ).
fof(f524,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/benchmark/theBenchmark.p',rdn3) ).
fof(f488,plain,
rdn_digit_add(rdnn(n3),rdnn(n2),rdnn(n5),rdnn(n0)),
inference(cnf_transformation,[],[f334]) ).
fof(f334,axiom,
rdn_digit_add(rdnn(n3),rdnn(n2),rdnn(n5),rdnn(n0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n3_n2_n5_n0) ).
fof(f536,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/benchmark/theBenchmark.p',rdn_digit_add_n5_n0_n5_n0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : NUM337+1 : TPTP v8.2.0. Released v3.1.0.
% 0.11/0.15 % 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
% 0.15/0.36 % Computer : n013.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 20 07:20:38 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/benchmark/theBenchmark.p
% 0.70/0.86 % (2128)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.70/0.86 % (2126)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 theBenchmark for (2995ds/51Mi)
% 0.70/0.86 % (2129)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 theBenchmark for (2995ds/34Mi)
% 0.70/0.86 % (2125)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 theBenchmark for (2995ds/34Mi)
% 0.70/0.86 % (2127)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.70/0.86 % (2131)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 theBenchmark for (2995ds/83Mi)
% 0.70/0.86 % (2132)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.70/0.86 % (2130)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.70/0.86 % (2128)Refutation not found, incomplete strategy% (2128)------------------------------
% 0.70/0.86 % (2128)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.86 % (2128)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.86
% 0.70/0.86 % (2128)Memory used [KB]: 1303
% 0.70/0.86 % (2128)Time elapsed: 0.004 s
% 0.70/0.86 % (2128)Instructions burned: 4 (million)
% 0.70/0.86 % (2128)------------------------------
% 0.70/0.86 % (2128)------------------------------
% 0.70/0.86 % (2132)Refutation not found, incomplete strategy% (2132)------------------------------
% 0.70/0.86 % (2132)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.86 % (2125)Refutation not found, incomplete strategy% (2125)------------------------------
% 0.70/0.86 % (2125)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.86 % (2132)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.86
% 0.70/0.86 % (2132)Memory used [KB]: 1312
% 0.70/0.86 % (2132)Time elapsed: 0.004 s
% 0.70/0.86 % (2132)Instructions burned: 5 (million)
% 0.70/0.86 % (2125)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.86
% 0.70/0.86 % (2125)Memory used [KB]: 1312
% 0.70/0.86 % (2125)Time elapsed: 0.005 s
% 0.70/0.86 % (2125)Instructions burned: 5 (million)
% 0.70/0.86 % (2132)------------------------------
% 0.70/0.86 % (2132)------------------------------
% 0.70/0.86 % (2125)------------------------------
% 0.70/0.86 % (2125)------------------------------
% 0.70/0.86 % (2130)Refutation not found, incomplete strategy% (2130)------------------------------
% 0.70/0.86 % (2130)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.86 % (2130)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.86
% 0.70/0.86 % (2130)Memory used [KB]: 1339
% 0.70/0.86 % (2130)Time elapsed: 0.005 s
% 0.70/0.86 % (2130)Instructions burned: 6 (million)
% 0.70/0.86 % (2130)------------------------------
% 0.70/0.86 % (2130)------------------------------
% 0.70/0.86 % (2133)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 theBenchmark for (2995ds/55Mi)
% 0.70/0.86 % (2134)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 theBenchmark for (2995ds/50Mi)
% 0.70/0.86 % (2135)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2995ds/208Mi)
% 0.70/0.87 % (2136)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 theBenchmark for (2995ds/52Mi)
% 0.70/0.87 % (2131)First to succeed.
% 0.70/0.87 % (2133)Refutation not found, incomplete strategy% (2133)------------------------------
% 0.70/0.87 % (2133)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.87 % (2133)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.87
% 0.70/0.87 % (2133)Memory used [KB]: 1300
% 0.70/0.87 % (2133)Time elapsed: 0.003 s
% 0.70/0.87 % (2133)Instructions burned: 4 (million)
% 0.70/0.87 % (2133)------------------------------
% 0.70/0.87 % (2133)------------------------------
% 0.70/0.87 % (2131)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2101"
% 0.70/0.87 % (2135)Refutation not found, incomplete strategy% (2135)------------------------------
% 0.70/0.87 % (2135)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.87 % (2135)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.87
% 0.70/0.87 % (2135)Memory used [KB]: 1307
% 0.70/0.87 % (2135)Time elapsed: 0.004 s
% 0.70/0.87 % (2135)Instructions burned: 5 (million)
% 0.70/0.87 % (2129)Refutation not found, incomplete strategy% (2129)------------------------------
% 0.70/0.87 % (2129)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.87 % (2129)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.87
% 0.70/0.87 % (2129)Memory used [KB]: 1487
% 0.70/0.87 % (2129)Time elapsed: 0.011 s
% 0.70/0.87 % (2129)Instructions burned: 24 (million)
% 0.70/0.87 % (2131)Refutation found. Thanks to Tanya!
% 0.70/0.87 % SZS status Theorem for theBenchmark
% 0.70/0.87 % SZS output start Proof for theBenchmark
% See solution above
% 0.70/0.87 % (2131)------------------------------
% 0.70/0.87 % (2131)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.87 % (2131)Termination reason: Refutation
% 0.70/0.87
% 0.70/0.87 % (2131)Memory used [KB]: 1432
% 0.70/0.87 % (2131)Time elapsed: 0.010 s
% 0.70/0.87 % (2131)Instructions burned: 20 (million)
% 0.70/0.87 % (2101)Success in time 0.499 s
% 0.70/0.87 % Vampire---4.8 exiting
%------------------------------------------------------------------------------