TSTP Solution File: NUM924+5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM924+5 : TPTP v8.2.0. Released v5.3.0.
% 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 : 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 : Tue May 21 01:47:05 EDT 2024
% Result : Theorem 0.79s 0.98s
% Output : Refutation 0.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 48 ( 36 unt; 0 def)
% Number of atoms : 64 ( 27 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 32 ( 16 ~; 10 |; 2 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-3 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f711,plain,
$false,
inference(subsumption_resolution,[],[f710,f707]) ).
fof(f707,plain,
zero_zero(nat) = number_number_of(nat,bit1(plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))))),
inference(forward_literal_rewriting,[],[f706,f679]) ).
fof(f679,plain,
! [X0] :
( zero_zero(nat) = number_number_of(nat,bit1(X0))
| ~ ord_less(int,X0,pls) ),
inference(forward_literal_rewriting,[],[f568,f521]) ).
fof(f521,plain,
! [X0] :
( zero_zero(nat) = number_number_of(nat,X0)
| ~ ord_less_eq(int,X0,pls) ),
inference(cnf_transformation,[],[f385]) ).
fof(f385,plain,
! [X0] :
( ( zero_zero(nat) = number_number_of(nat,X0)
| ~ ord_less_eq(int,X0,pls) )
& ( ord_less_eq(int,X0,pls)
| zero_zero(nat) != number_number_of(nat,X0) ) ),
inference(nnf_transformation,[],[f214]) ).
fof(f214,plain,
! [X0] :
( zero_zero(nat) = number_number_of(nat,X0)
<=> ord_less_eq(int,X0,pls) ),
inference(rectify,[],[f79]) ).
fof(f79,axiom,
! [X26] :
( number_number_of(nat,X26) = zero_zero(nat)
<=> ord_less_eq(int,X26,pls) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_39_eq__number__of__0) ).
fof(f568,plain,
! [X0] :
( ord_less_eq(int,bit1(X0),pls)
| ~ ord_less(int,X0,pls) ),
inference(cnf_transformation,[],[f401]) ).
fof(f401,plain,
! [X0] :
( ( ord_less_eq(int,bit1(X0),pls)
| ~ ord_less(int,X0,pls) )
& ( ord_less(int,X0,pls)
| ~ ord_less_eq(int,bit1(X0),pls) ) ),
inference(nnf_transformation,[],[f242]) ).
fof(f242,plain,
! [X0] :
( ord_less_eq(int,bit1(X0),pls)
<=> ord_less(int,X0,pls) ),
inference(rectify,[],[f110]) ).
fof(f110,axiom,
! [X15] :
( ord_less_eq(int,bit1(X15),pls)
<=> ord_less(int,X15,pls) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_70_rel__simps_I29_J) ).
fof(f706,plain,
ord_less(int,plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))),pls),
inference(forward_demodulation,[],[f703,f558]) ).
fof(f558,plain,
! [X0] : pls = times_times(int,pls,X0),
inference(cnf_transformation,[],[f234]) ).
fof(f234,plain,
! [X0] : pls = times_times(int,pls,X0),
inference(rectify,[],[f102]) ).
fof(f102,axiom,
! [X10] : pls = times_times(int,pls,X10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_62_mult__Pls) ).
fof(f703,plain,
ord_less(int,plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))),times_times(int,pls,plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls))))))),
inference(backward_demodulation,[],[f695,f697]) ).
fof(f697,plain,
pls = zero_zero(int),
inference(forward_demodulation,[],[f614,f495]) ).
fof(f495,plain,
! [X0] : number_number_of(int,X0) = X0,
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0] : number_number_of(int,X0) = X0,
inference(rectify,[],[f62]) ).
fof(f62,axiom,
! [X13] : number_number_of(int,X13) = X13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_22_number__of__is__id) ).
fof(f614,plain,
zero_zero(int) = number_number_of(int,pls),
inference(cnf_transformation,[],[f137]) ).
fof(f137,axiom,
zero_zero(int) = number_number_of(int,pls),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_97_zero__is__num__zero) ).
fof(f695,plain,
ord_less(int,plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))),times_times(int,zero_zero(int),plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls))))))),
inference(forward_demodulation,[],[f688,f613]) ).
fof(f613,plain,
! [X0,X1] : plus_plus(int,X0,X1) = plus_plus(int,X1,X0),
inference(cnf_transformation,[],[f266]) ).
fof(f266,plain,
! [X0,X1] : plus_plus(int,X0,X1) = plus_plus(int,X1,X0),
inference(rectify,[],[f136]) ).
fof(f136,axiom,
! [X14,X10] : plus_plus(int,X10,X14) = plus_plus(int,X14,X10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_96_zadd__commute) ).
fof(f688,plain,
ord_less(int,plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))),times_times(int,zero_zero(int),plus_plus(int,times_times(int,m,bit0(bit0(bit1(pls)))),one_one(int)))),
inference(backward_demodulation,[],[f660,f613]) ).
fof(f660,plain,
ord_less(int,plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)),times_times(int,zero_zero(int),plus_plus(int,times_times(int,m,bit0(bit0(bit1(pls)))),one_one(int)))),
inference(forward_demodulation,[],[f655,f496]) ).
fof(f496,plain,
! [X0,X1] : times_times(int,X0,X1) = times_times(int,X1,X0),
inference(cnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0,X1] : times_times(int,X0,X1) = times_times(int,X1,X0),
inference(rectify,[],[f63]) ).
fof(f63,axiom,
! [X14,X10] : times_times(int,X14,X10) = times_times(int,X10,X14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_23_zmult__commute) ).
fof(f655,plain,
ord_less(int,plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)),times_times(int,plus_plus(int,times_times(int,m,bit0(bit0(bit1(pls)))),one_one(int)),zero_zero(int))),
inference(backward_demodulation,[],[f652,f496]) ).
fof(f652,plain,
ord_less(int,plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)),times_times(int,plus_plus(int,times_times(int,bit0(bit0(bit1(pls))),m),one_one(int)),zero_zero(int))),
inference(backward_demodulation,[],[f637,f495]) ).
fof(f637,plain,
ord_less(int,plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)),times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),zero_zero(int))),
inference(backward_demodulation,[],[f469,f470]) ).
fof(f470,plain,
times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t) = plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)),
inference(cnf_transformation,[],[f43]) ).
fof(f43,axiom,
times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t) = plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_t) ).
fof(f469,plain,
ord_less(int,times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t),times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),zero_zero(int))),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
ord_less(int,times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t),times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),zero_zero(int))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2__096_I4_A_K_Am_A_L_A1_J_A_K_At_A_060_A_I4_A_K_Am_A_L_A1_J_A_K_A0_096) ).
fof(f710,plain,
zero_zero(nat) != number_number_of(nat,bit1(plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))))),
inference(forward_literal_rewriting,[],[f709,f680]) ).
fof(f680,plain,
! [X0] :
( zero_zero(nat) != number_number_of(nat,bit1(X0))
| ord_less(int,X0,pls) ),
inference(forward_literal_rewriting,[],[f567,f520]) ).
fof(f520,plain,
! [X0] :
( ord_less_eq(int,X0,pls)
| zero_zero(nat) != number_number_of(nat,X0) ),
inference(cnf_transformation,[],[f385]) ).
fof(f567,plain,
! [X0] :
( ord_less(int,X0,pls)
| ~ ord_less_eq(int,bit1(X0),pls) ),
inference(cnf_transformation,[],[f401]) ).
fof(f709,plain,
~ ord_less(int,plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))),pls),
inference(forward_demodulation,[],[f708,f613]) ).
fof(f708,plain,
~ ord_less(int,plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)),pls),
inference(forward_demodulation,[],[f632,f697]) ).
fof(f632,plain,
~ ord_less(int,plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)),zero_zero(int)),
inference(cnf_transformation,[],[f268]) ).
fof(f268,plain,
~ ord_less(int,plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)),zero_zero(int)),
inference(flattening,[],[f156]) ).
fof(f156,negated_conjecture,
~ ord_less(int,plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)),zero_zero(int)),
inference(negated_conjecture,[],[f155]) ).
fof(f155,conjecture,
ord_less(int,plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)),zero_zero(int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : NUM924+5 : TPTP v8.2.0. Released v5.3.0.
% 0.13/0.14 % 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
% 0.15/0.36 % Computer : n024.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 06:00:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_CAX_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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.75/0.94 % (7400)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.75/0.94 % (7398)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 (2994ds/34Mi)
% 0.75/0.94 % (7401)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.75/0.94 % (7402)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 (2994ds/34Mi)
% 0.75/0.94 % (7399)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 (2994ds/51Mi)
% 0.75/0.94 % (7403)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.75/0.94 % (7404)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 (2994ds/83Mi)
% 0.75/0.94 % (7405)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 (2994ds/56Mi)
% 0.79/0.96 % (7402)Instruction limit reached!
% 0.79/0.96 % (7402)------------------------------
% 0.79/0.96 % (7402)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.96 % (7402)Termination reason: Unknown
% 0.79/0.96 % (7402)Termination phase: Saturation
% 0.79/0.96
% 0.79/0.96 % (7402)Memory used [KB]: 1535
% 0.79/0.96 % (7402)Time elapsed: 0.019 s
% 0.79/0.96 % (7402)Instructions burned: 35 (million)
% 0.79/0.96 % (7402)------------------------------
% 0.79/0.96 % (7402)------------------------------
% 0.79/0.96 % (7401)Instruction limit reached!
% 0.79/0.96 % (7401)------------------------------
% 0.79/0.96 % (7401)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.96 % (7401)Termination reason: Unknown
% 0.79/0.96 % (7401)Termination phase: Saturation
% 0.79/0.96
% 0.79/0.96 % (7401)Memory used [KB]: 1584
% 0.79/0.96 % (7401)Time elapsed: 0.020 s
% 0.79/0.96 % (7401)Instructions burned: 33 (million)
% 0.79/0.96 % (7401)------------------------------
% 0.79/0.96 % (7401)------------------------------
% 0.79/0.96 % (7398)Instruction limit reached!
% 0.79/0.96 % (7398)------------------------------
% 0.79/0.96 % (7398)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.96 % (7398)Termination reason: Unknown
% 0.79/0.96 % (7398)Termination phase: Saturation
% 0.79/0.96
% 0.79/0.96 % (7398)Memory used [KB]: 1402
% 0.79/0.96 % (7398)Time elapsed: 0.021 s
% 0.79/0.96 % (7398)Instructions burned: 35 (million)
% 0.79/0.96 % (7398)------------------------------
% 0.79/0.96 % (7398)------------------------------
% 0.79/0.96 % (7403)Instruction limit reached!
% 0.79/0.96 % (7403)------------------------------
% 0.79/0.96 % (7403)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.96 % (7403)Termination reason: Unknown
% 0.79/0.96 % (7403)Termination phase: Saturation
% 0.79/0.96
% 0.79/0.96 % (7403)Memory used [KB]: 1321
% 0.79/0.96 % (7403)Time elapsed: 0.023 s
% 0.79/0.96 % (7403)Instructions burned: 45 (million)
% 0.79/0.96 % (7403)------------------------------
% 0.79/0.96 % (7403)------------------------------
% 0.79/0.96 % (7406)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 (2994ds/55Mi)
% 0.79/0.96 % (7407)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 (2994ds/50Mi)
% 0.79/0.97 % (7408)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 (2994ds/208Mi)
% 0.79/0.97 % (7409)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 (2994ds/52Mi)
% 0.79/0.97 % (7399)Instruction limit reached!
% 0.79/0.97 % (7399)------------------------------
% 0.79/0.97 % (7399)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.97 % (7399)Termination reason: Unknown
% 0.79/0.97 % (7399)Termination phase: Saturation
% 0.79/0.97
% 0.79/0.97 % (7399)Memory used [KB]: 1597
% 0.79/0.97 % (7399)Time elapsed: 0.031 s
% 0.79/0.97 % (7399)Instructions burned: 51 (million)
% 0.79/0.97 % (7399)------------------------------
% 0.79/0.97 % (7399)------------------------------
% 0.79/0.97 % (7405)Instruction limit reached!
% 0.79/0.97 % (7405)------------------------------
% 0.79/0.97 % (7405)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.97 % (7405)Termination reason: Unknown
% 0.79/0.97 % (7405)Termination phase: Saturation
% 0.79/0.97
% 0.79/0.97 % (7405)Memory used [KB]: 1462
% 0.79/0.97 % (7405)Time elapsed: 0.031 s
% 0.79/0.97 % (7405)Instructions burned: 57 (million)
% 0.79/0.97 % (7405)------------------------------
% 0.79/0.97 % (7405)------------------------------
% 0.79/0.98 % (7410)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 theBenchmark for (2994ds/518Mi)
% 0.79/0.98 % (7411)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2994ds/42Mi)
% 0.79/0.98 % (7406)First to succeed.
% 0.79/0.98 % (7406)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7397"
% 0.79/0.98 % (7406)Refutation found. Thanks to Tanya!
% 0.79/0.98 % SZS status Theorem for theBenchmark
% 0.79/0.98 % SZS output start Proof for theBenchmark
% See solution above
% 0.79/0.98 % (7406)------------------------------
% 0.79/0.98 % (7406)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.98 % (7406)Termination reason: Refutation
% 0.79/0.98
% 0.79/0.98 % (7406)Memory used [KB]: 1348
% 0.79/0.98 % (7406)Time elapsed: 0.016 s
% 0.79/0.98 % (7406)Instructions burned: 27 (million)
% 0.79/0.98 % (7397)Success in time 0.602 s
% 0.79/0.98 % Vampire---4.8 exiting
%------------------------------------------------------------------------------