TSTP Solution File: NUM313+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM313+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 : 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 : Sun May 5 08:09:17 EDT 2024
% Result : Theorem 0.57s 0.75s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 41 ( 17 unt; 0 def)
% Number of atoms : 97 ( 9 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 101 ( 45 ~; 35 |; 11 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-1 aty)
% Number of variables : 103 ( 102 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f704,plain,
$false,
inference(unit_resulting_resolution,[],[f542,f495,f696,f609]) ).
fof(f609,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.HMAwS98o8S/Vampire---4.8_16625',add_digit_digit_digit) ).
fof(f696,plain,
~ rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n3),rdnn(n5)),
inference(unit_resulting_resolution,[],[f502,f695,f642]) ).
fof(f642,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,[],[f642_D]) ).
fof(f642_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(f695,plain,
~ sP10(rdnn(n5),rdnn(n3),n2),
inference(unit_resulting_resolution,[],[f524,f692,f643]) ).
fof(f643,plain,
! [X0,X1,X4,X5] :
( ~ sP10(X5,X4,X0)
| ~ sP9(X5,X0,X1)
| ~ rdn_translate(X1,rdn_pos(X4)) ),
inference(general_splitting,[],[f641,f642_D]) ).
fof(f641,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,[],[f530,f640_D]) ).
fof(f640,plain,
! [X2,X0,X1,X5] :
( ~ rdn_translate(X2,rdn_pos(X5))
| sum(X0,X1,X2)
| sP9(X5,X0,X1) ),
inference(cnf_transformation,[],[f640_D]) ).
fof(f640_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(f530,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.HMAwS98o8S/Vampire---4.8_16625',sum_entry_point_pos_pos) ).
fof(f692,plain,
sP9(rdnn(n5),n2,n3),
inference(unit_resulting_resolution,[],[f548,f664,f640]) ).
fof(f664,plain,
~ sum(n2,n3,n5),
inference(unit_resulting_resolution,[],[f468,f467,f469]) ).
fof(f469,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X2,X3)
| ~ sum(X0,X1,X3)
| X1 = X2 ),
inference(cnf_transformation,[],[f427]) ).
fof(f427,plain,
! [X0,X1,X2,X3] :
( X1 = X2
| ~ sum(X0,X2,X3)
| ~ sum(X0,X1,X3) ),
inference(flattening,[],[f426]) ).
fof(f426,plain,
! [X0,X1,X2,X3] :
( X1 = X2
| ~ sum(X0,X2,X3)
| ~ sum(X0,X1,X3) ),
inference(ennf_transformation,[],[f404]) ).
fof(f404,plain,
! [X0,X1,X2,X3] :
( ( sum(X0,X2,X3)
& sum(X0,X1,X3) )
=> X1 = X2 ),
inference(rectify,[],[f295]) ).
fof(f295,axiom,
! [X0,X18,X19,X2] :
( ( sum(X0,X19,X2)
& sum(X0,X18,X2) )
=> X18 = X19 ),
file('/export/starexec/sandbox/tmp/tmp.HMAwS98o8S/Vampire---4.8_16625',unique_RHS) ).
fof(f467,plain,
sum(n2,sK0,n5),
inference(cnf_transformation,[],[f425]) ).
fof(f425,plain,
? [X0] :
( n3 != X0
& sum(n2,X0,n5) ),
inference(ennf_transformation,[],[f403]) ).
fof(f403,negated_conjecture,
~ ! [X0] :
( sum(n2,X0,n5)
=> n3 = X0 ),
inference(negated_conjecture,[],[f402]) ).
fof(f402,conjecture,
! [X0] :
( sum(n2,X0,n5)
=> n3 = X0 ),
file('/export/starexec/sandbox/tmp/tmp.HMAwS98o8S/Vampire---4.8_16625',sumn2_only_n3_n5) ).
fof(f468,plain,
n3 != sK0,
inference(cnf_transformation,[],[f425]) ).
fof(f548,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/sandbox/tmp/tmp.HMAwS98o8S/Vampire---4.8_16625',rdn5) ).
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/sandbox/tmp/tmp.HMAwS98o8S/Vampire---4.8_16625',rdn3) ).
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/sandbox/tmp/tmp.HMAwS98o8S/Vampire---4.8_16625',rdn2) ).
fof(f495,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/tmp/tmp.HMAwS98o8S/Vampire---4.8_16625',rdn_digit_add_n2_n3_n5_n0) ).
fof(f542,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/tmp/tmp.HMAwS98o8S/Vampire---4.8_16625',rdn_digit_add_n5_n0_n5_n0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : NUM313+1 : TPTP v8.1.2. Released v3.1.0.
% 0.05/0.11 % 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
% 0.11/0.32 % Computer : n013.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 14:53:53 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.HMAwS98o8S/Vampire---4.8_16625
% 0.51/0.74 % (16738)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)
% 0.51/0.74 % (16739)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)
% 0.51/0.74 % (16733)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)
% 0.51/0.74 % (16734)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)
% 0.51/0.74 % (16737)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)
% 0.51/0.74 % (16735)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.57/0.74 % (16740)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)
% 0.57/0.74 % (16736)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)
% 0.57/0.74 % (16738)Refutation not found, incomplete strategy% (16738)------------------------------
% 0.57/0.74 % (16738)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (16738)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (16738)Memory used [KB]: 1305
% 0.57/0.74 % (16740)Refutation not found, incomplete strategy% (16740)------------------------------
% 0.57/0.74 % (16740)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (16740)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (16740)Memory used [KB]: 1288
% 0.57/0.74 % (16740)Time elapsed: 0.003 s
% 0.57/0.74 % (16740)Instructions burned: 5 (million)
% 0.57/0.74 % (16738)Time elapsed: 0.004 s
% 0.57/0.74 % (16738)Instructions burned: 6 (million)
% 0.57/0.74 % (16733)Refutation not found, incomplete strategy% (16733)------------------------------
% 0.57/0.74 % (16733)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (16733)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (16733)Memory used [KB]: 1295
% 0.57/0.74 % (16733)Time elapsed: 0.005 s
% 0.57/0.74 % (16733)Instructions burned: 6 (million)
% 0.57/0.74 % (16736)Refutation not found, incomplete strategy% (16736)------------------------------
% 0.57/0.74 % (16736)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (16736)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (16736)Memory used [KB]: 1281
% 0.57/0.74 % (16736)Time elapsed: 0.004 s
% 0.57/0.74 % (16736)Instructions burned: 4 (million)
% 0.57/0.74 % (16740)------------------------------
% 0.57/0.74 % (16740)------------------------------
% 0.57/0.74 % (16738)------------------------------
% 0.57/0.74 % (16738)------------------------------
% 0.57/0.74 % (16736)------------------------------
% 0.57/0.74 % (16736)------------------------------
% 0.57/0.74 % (16733)------------------------------
% 0.57/0.74 % (16733)------------------------------
% 0.57/0.75 % (16743)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)
% 0.57/0.75 % (16741)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)
% 0.57/0.75 % (16744)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)
% 0.57/0.75 % (16742)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)
% 0.57/0.75 % (16739)First to succeed.
% 0.57/0.75 % (16739)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16732"
% 0.57/0.75 % (16741)Refutation not found, incomplete strategy% (16741)------------------------------
% 0.57/0.75 % (16741)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (16741)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (16741)Memory used [KB]: 1278
% 0.57/0.75 % (16741)Time elapsed: 0.004 s
% 0.57/0.75 % (16741)Instructions burned: 4 (million)
% 0.57/0.75 % (16739)Refutation found. Thanks to Tanya!
% 0.57/0.75 % SZS status Theorem for Vampire---4
% 0.57/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.75 % (16739)------------------------------
% 0.57/0.75 % (16739)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (16739)Termination reason: Refutation
% 0.57/0.75
% 0.57/0.75 % (16739)Memory used [KB]: 1384
% 0.57/0.75 % (16739)Time elapsed: 0.009 s
% 0.57/0.75 % (16739)Instructions burned: 19 (million)
% 0.57/0.75 % (16732)Success in time 0.425 s
% 0.57/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------