TSTP Solution File: NUM311+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM311+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n009.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 Aug 31 17:58:05 EDT 2022
% Result : Theorem 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 38 ( 15 unt; 0 def)
% Number of atoms : 93 ( 13 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 95 ( 40 ~; 32 |; 14 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-1 aty)
% Number of variables : 94 ( 92 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f662,plain,
$false,
inference(unit_resulting_resolution,[],[f504,f530,f659,f649]) ).
fof(f649,plain,
! [X2,X3,X0,X1,X4] :
( ~ rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X1),rdnn(n0))
| rdn_add_with_carry(rdnn(X2),rdnn(X4),rdnn(X0),rdnn(X3))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0)) ),
inference(cnf_transformation,[],[f493]) ).
fof(f493,plain,
! [X0,X1,X2,X3,X4] :
( rdn_add_with_carry(rdnn(X2),rdnn(X4),rdnn(X0),rdnn(X3))
| ~ rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X1),rdnn(n0))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0)) ),
inference(rectify,[],[f448]) ).
fof(f448,plain,
! [X3,X2,X0,X1,X4] :
( rdn_add_with_carry(rdnn(X0),rdnn(X4),rdnn(X3),rdnn(X1))
| ~ rdn_digit_add(rdnn(X4),rdnn(X3),rdnn(X2),rdnn(n0))
| ~ rdn_digit_add(rdnn(X2),rdnn(X0),rdnn(X1),rdnn(n0)) ),
inference(flattening,[],[f447]) ).
fof(f447,plain,
! [X4,X0,X1,X3,X2] :
( rdn_add_with_carry(rdnn(X0),rdnn(X4),rdnn(X3),rdnn(X1))
| ~ rdn_digit_add(rdnn(X2),rdnn(X0),rdnn(X1),rdnn(n0))
| ~ rdn_digit_add(rdnn(X4),rdnn(X3),rdnn(X2),rdnn(n0)) ),
inference(ennf_transformation,[],[f421]) ).
fof(f421,plain,
! [X4,X0,X1,X3,X2] :
( ( rdn_digit_add(rdnn(X2),rdnn(X0),rdnn(X1),rdnn(n0))
& rdn_digit_add(rdnn(X4),rdnn(X3),rdnn(X2),rdnn(n0)) )
=> rdn_add_with_carry(rdnn(X0),rdnn(X4),rdnn(X3),rdnn(X1)) ),
inference(rectify,[],[f297]) ).
fof(f297,axiom,
! [X20,X23,X24,X22,X21] :
( ( rdn_digit_add(rdnn(X21),rdnn(X22),rdnn(X24),rdnn(n0))
& rdn_digit_add(rdnn(X24),rdnn(X20),rdnn(X23),rdnn(n0)) )
=> rdn_add_with_carry(rdnn(X20),rdnn(X21),rdnn(X22),rdnn(X23)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_digit_digit_digit) ).
fof(f659,plain,
~ rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n3),rdnn(n5)),
inference(unit_resulting_resolution,[],[f531,f597,f515,f653,f590]) ).
fof(f590,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rdn_add_with_carry(rdnn(n0),X0,X1,X2)
| ~ rdn_translate(X3,rdn_pos(X0))
| sum(X3,X4,X5)
| ~ rdn_translate(X5,rdn_pos(X2))
| ~ rdn_translate(X4,rdn_pos(X1)) ),
inference(cnf_transformation,[],[f481]) ).
fof(f481,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ rdn_translate(X4,rdn_pos(X1))
| ~ rdn_add_with_carry(rdnn(n0),X0,X1,X2)
| sum(X3,X4,X5)
| ~ rdn_translate(X3,rdn_pos(X0))
| ~ rdn_translate(X5,rdn_pos(X2)) ),
inference(rectify,[],[f455]) ).
fof(f455,plain,
! [X4,X3,X5,X1,X0,X2] :
( ~ rdn_translate(X0,rdn_pos(X3))
| ~ rdn_add_with_carry(rdnn(n0),X4,X3,X5)
| sum(X1,X0,X2)
| ~ rdn_translate(X1,rdn_pos(X4))
| ~ rdn_translate(X2,rdn_pos(X5)) ),
inference(flattening,[],[f454]) ).
fof(f454,plain,
! [X4,X5,X0,X2,X1,X3] :
( sum(X1,X0,X2)
| ~ rdn_translate(X0,rdn_pos(X3))
| ~ rdn_translate(X1,rdn_pos(X4))
| ~ rdn_add_with_carry(rdnn(n0),X4,X3,X5)
| ~ rdn_translate(X2,rdn_pos(X5)) ),
inference(ennf_transformation,[],[f408]) ).
fof(f408,plain,
! [X4,X5,X0,X2,X1,X3] :
( ( rdn_translate(X0,rdn_pos(X3))
& rdn_translate(X1,rdn_pos(X4))
& rdn_add_with_carry(rdnn(n0),X4,X3,X5)
& rdn_translate(X2,rdn_pos(X5)) )
=> sum(X1,X0,X2) ),
inference(rectify,[],[f287]) ).
fof(f287,axiom,
! [X1,X0,X2,X10,X9,X11] :
( ( rdn_translate(X1,rdn_pos(X10))
& rdn_translate(X0,rdn_pos(X9))
& rdn_add_with_carry(rdnn(n0),X9,X10,X11)
& rdn_translate(X2,rdn_pos(X11)) )
=> sum(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_entry_point_pos_pos) ).
fof(f653,plain,
~ sum(n2,n3,n5),
inference(unit_resulting_resolution,[],[f644,f645,f619]) ).
fof(f619,plain,
! [X2,X3,X0,X1] :
( ~ sum(X2,X0,X3)
| X1 = X3
| ~ sum(X2,X0,X1) ),
inference(cnf_transformation,[],[f485]) ).
fof(f485,plain,
! [X0,X1,X2,X3] :
( ~ sum(X2,X0,X1)
| ~ sum(X2,X0,X3)
| X1 = X3 ),
inference(rectify,[],[f434]) ).
fof(f434,plain,
! [X3,X1,X0,X2] :
( ~ sum(X0,X3,X1)
| ~ sum(X0,X3,X2)
| X1 = X2 ),
inference(flattening,[],[f433]) ).
fof(f433,plain,
! [X1,X3,X2,X0] :
( X1 = X2
| ~ sum(X0,X3,X2)
| ~ sum(X0,X3,X1) ),
inference(ennf_transformation,[],[f406]) ).
fof(f406,plain,
! [X1,X3,X2,X0] :
( ( sum(X0,X3,X2)
& sum(X0,X3,X1) )
=> X1 = X2 ),
inference(rectify,[],[f293]) ).
fof(f293,axiom,
! [X0,X14,X15,X1] :
( ( sum(X0,X1,X14)
& sum(X0,X1,X15) )
=> X14 = X15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_sum) ).
fof(f645,plain,
sum(n2,n3,sK0),
inference(cnf_transformation,[],[f491]) ).
fof(f491,plain,
( sum(n2,n3,sK0)
& n5 != sK0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f439,f490]) ).
fof(f490,plain,
( ? [X0] :
( sum(n2,n3,X0)
& n5 != X0 )
=> ( sum(n2,n3,sK0)
& n5 != sK0 ) ),
introduced(choice_axiom,[]) ).
fof(f439,plain,
? [X0] :
( sum(n2,n3,X0)
& n5 != X0 ),
inference(ennf_transformation,[],[f403]) ).
fof(f403,negated_conjecture,
~ ! [X0] :
( sum(n2,n3,X0)
=> n5 = X0 ),
inference(negated_conjecture,[],[f402]) ).
fof(f402,conjecture,
! [X0] :
( sum(n2,n3,X0)
=> n5 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_n2_n3_only_n5) ).
fof(f644,plain,
n5 != sK0,
inference(cnf_transformation,[],[f491]) ).
fof(f515,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',rdn2) ).
fof(f597,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/benchmark/theBenchmark.p',rdn5) ).
fof(f531,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/benchmark/theBenchmark.p',rdn3) ).
fof(f530,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',rdn_digit_add_n2_n3_n5_n0) ).
fof(f504,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',rdn_digit_add_n5_n0_n5_n0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM311+1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n009.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 06:18:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.48 % (19704)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.48 % (19722)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.49 % (19713)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.51 % (19705)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.51 % (19708)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (19724)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52 % (19705)Refutation not found, incomplete strategy% (19705)------------------------------
% 0.19/0.52 % (19705)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (19713)Refutation not found, incomplete strategy% (19713)------------------------------
% 0.19/0.52 % (19713)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (19713)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (19713)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (19713)Memory used [KB]: 6396
% 0.19/0.52 % (19713)Time elapsed: 0.125 s
% 0.19/0.52 % (19713)Instructions burned: 5 (million)
% 0.19/0.52 % (19713)------------------------------
% 0.19/0.52 % (19713)------------------------------
% 0.19/0.52 % (19732)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (19709)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.52 % (19705)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (19705)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (19705)Memory used [KB]: 6268
% 0.19/0.52 % (19705)Time elapsed: 0.112 s
% 0.19/0.52 % (19705)Instructions burned: 4 (million)
% 0.19/0.52 % (19705)------------------------------
% 0.19/0.52 % (19705)------------------------------
% 0.19/0.52 % (19714)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.52 % (19724)Instruction limit reached!
% 0.19/0.52 % (19724)------------------------------
% 0.19/0.52 % (19724)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (19721)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (19724)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (19724)Termination reason: Unknown
% 0.19/0.53 % (19724)Termination phase: Preprocessing 3
% 0.19/0.53
% 0.19/0.53 % (19724)Memory used [KB]: 1791
% 0.19/0.53 % (19724)Time elapsed: 0.005 s
% 0.19/0.53 % (19724)Instructions burned: 3 (million)
% 0.19/0.53 % (19724)------------------------------
% 0.19/0.53 % (19724)------------------------------
% 0.19/0.53 % (19711)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.53 % (19708)Refutation not found, incomplete strategy% (19708)------------------------------
% 0.19/0.53 % (19708)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (19721)Instruction limit reached!
% 0.19/0.53 % (19721)------------------------------
% 0.19/0.53 % (19721)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (19721)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (19721)Termination reason: Unknown
% 0.19/0.53 % (19721)Termination phase: Property scanning
% 0.19/0.53
% 0.19/0.53 % (19721)Memory used [KB]: 1918
% 0.19/0.53 % (19721)Time elapsed: 0.005 s
% 0.19/0.53 % (19721)Instructions burned: 10 (million)
% 0.19/0.53 % (19721)------------------------------
% 0.19/0.53 % (19721)------------------------------
% 0.19/0.53 % (19726)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.53 % (19708)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (19708)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (19708)Memory used [KB]: 6268
% 0.19/0.53 % (19708)Time elapsed: 0.118 s
% 0.19/0.53 % (19708)Instructions burned: 3 (million)
% 0.19/0.53 % (19708)------------------------------
% 0.19/0.53 % (19708)------------------------------
% 0.19/0.53 % (19731)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.53 % (19717)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (19714)First to succeed.
% 0.19/0.53 % (19712)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.53 % (19717)Instruction limit reached!
% 0.19/0.53 % (19717)------------------------------
% 0.19/0.53 % (19717)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (19717)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (19717)Termination reason: Unknown
% 0.19/0.53 % (19717)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (19717)Memory used [KB]: 6396
% 0.19/0.53 % (19717)Time elapsed: 0.136 s
% 0.19/0.53 % (19717)Instructions burned: 8 (million)
% 0.19/0.53 % (19717)------------------------------
% 0.19/0.53 % (19717)------------------------------
% 0.19/0.54 % (19720)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.54 % (19720)Instruction limit reached!
% 0.19/0.54 % (19720)------------------------------
% 0.19/0.54 % (19720)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (19720)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (19720)Termination reason: Unknown
% 0.19/0.54 % (19720)Termination phase: shuffling
% 0.19/0.54
% 0.19/0.54 % (19720)Memory used [KB]: 1791
% 0.19/0.54 % (19720)Time elapsed: 0.002 s
% 0.19/0.54 % (19720)Instructions burned: 3 (million)
% 0.19/0.54 % (19720)------------------------------
% 0.19/0.54 % (19720)------------------------------
% 0.19/0.54 % (19737)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.54 % (19736)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.54 % (19714)Refutation found. Thanks to Tanya!
% 0.19/0.54 % SZS status Theorem for theBenchmark
% 0.19/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54 % (19714)------------------------------
% 0.19/0.54 % (19714)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (19714)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (19714)Termination reason: Refutation
% 0.19/0.54
% 0.19/0.54 % (19714)Memory used [KB]: 6524
% 0.19/0.54 % (19714)Time elapsed: 0.136 s
% 0.19/0.54 % (19714)Instructions burned: 14 (million)
% 0.19/0.54 % (19714)------------------------------
% 0.19/0.54 % (19714)------------------------------
% 0.19/0.54 % (19693)Success in time 0.19 s
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