TSTP Solution File: NUM924_1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM924_1 : TPTP v8.1.2. 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 : n003.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 08:16:29 EDT 2024
% Result : Theorem 0.61s 0.77s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 36
% Syntax : Number of formulae : 65 ( 38 unt; 27 typ; 0 def)
% Number of atoms : 38 ( 20 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 8 ( 3 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 26 ( 16 >; 10 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 9 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
int: $tType ).
tff(type_def_6,type,
nat: $tType ).
tff(func_def_0,type,
one_one_int: int ).
tff(func_def_1,type,
one_one_nat: nat ).
tff(func_def_2,type,
plus_plus_int: ( int * int ) > int ).
tff(func_def_3,type,
plus_plus_nat: ( nat * nat ) > nat ).
tff(func_def_4,type,
times_times_int: ( int * int ) > int ).
tff(func_def_5,type,
times_times_nat: ( nat * nat ) > nat ).
tff(func_def_6,type,
zero_zero_int: int ).
tff(func_def_7,type,
zero_zero_nat: nat ).
tff(func_def_8,type,
bit0: int > int ).
tff(func_def_9,type,
bit1: int > int ).
tff(func_def_10,type,
pls: int ).
tff(func_def_11,type,
number_number_of_int: int > int ).
tff(func_def_12,type,
number_number_of_nat: int > nat ).
tff(func_def_13,type,
power_power_int: ( int * nat ) > int ).
tff(func_def_14,type,
power_power_nat: ( nat * nat ) > nat ).
tff(func_def_15,type,
m: int ).
tff(func_def_16,type,
s: int ).
tff(func_def_17,type,
t: int ).
tff(func_def_18,type,
sK0: int ).
tff(pred_def_1,type,
zprime: int > $o ).
tff(pred_def_2,type,
ord_less_int: ( int * int ) > $o ).
tff(pred_def_3,type,
ord_less_nat: ( nat * nat ) > $o ).
tff(pred_def_4,type,
ord_less_eq_int: ( int * int ) > $o ).
tff(pred_def_5,type,
ord_less_eq_nat: ( nat * nat ) > $o ).
tff(pred_def_6,type,
twoSqu1431725154sum2sq: int > $o ).
tff(f651,plain,
$false,
inference(subsumption_resolution,[],[f650,f611]) ).
tff(f611,plain,
~ ord_less_int(plus_plus_int(one_one_int,power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat))),zero_zero_int),
inference(forward_demodulation,[],[f610,f360]) ).
tff(f360,plain,
number_number_of_nat(bit0(bit1(pls))) = plus_plus_nat(one_one_nat,one_one_nat),
inference(cnf_transformation,[],[f66]) ).
tff(f66,axiom,
number_number_of_nat(bit0(bit1(pls))) = plus_plus_nat(one_one_nat,one_one_nat),
file('/export/starexec/sandbox/tmp/tmp.4esCTTK991/Vampire---4.8_22416',fact_65_nat__1__add__1) ).
tff(f610,plain,
~ ord_less_int(plus_plus_int(one_one_int,power_power_int(s,number_number_of_nat(bit0(bit1(pls))))),zero_zero_int),
inference(forward_demodulation,[],[f423,f421]) ).
tff(f421,plain,
! [X0: int,X1: int] : ( plus_plus_int(X0,X1) = plus_plus_int(X1,X0) ),
inference(cnf_transformation,[],[f191]) ).
tff(f191,plain,
! [X0: int,X1: int] : ( plus_plus_int(X0,X1) = plus_plus_int(X1,X0) ),
inference(rectify,[],[f105]) ).
tff(f105,axiom,
! [X11: int,X9: int] : ( plus_plus_int(X9,X11) = plus_plus_int(X11,X9) ),
file('/export/starexec/sandbox/tmp/tmp.4esCTTK991/Vampire---4.8_22416',fact_104_zadd__commute) ).
tff(f423,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,[],[f192]) ).
tff(f192,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,[],[f108]) ).
tff(f108,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,[],[f107]) ).
tff(f107,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/tmp/tmp.4esCTTK991/Vampire---4.8_22416',conj_0) ).
tff(f650,plain,
ord_less_int(plus_plus_int(one_one_int,power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat))),zero_zero_int),
inference(forward_demodulation,[],[f640,f621]) ).
tff(f621,plain,
! [X0: int] : ( zero_zero_int = times_times_int(zero_zero_int,X0) ),
inference(backward_demodulation,[],[f361,f612]) ).
tff(f612,plain,
zero_zero_int = pls,
inference(superposition,[],[f422,f295]) ).
tff(f295,plain,
! [X0: int] : ( number_number_of_int(X0) = X0 ),
inference(cnf_transformation,[],[f118]) ).
tff(f118,plain,
! [X0: int] : ( number_number_of_int(X0) = X0 ),
inference(rectify,[],[f25]) ).
tff(f25,axiom,
! [X10: int] : ( number_number_of_int(X10) = X10 ),
file('/export/starexec/sandbox/tmp/tmp.4esCTTK991/Vampire---4.8_22416',fact_24_number__of__is__id) ).
tff(f422,plain,
zero_zero_int = number_number_of_int(pls),
inference(cnf_transformation,[],[f106]) ).
tff(f106,axiom,
zero_zero_int = number_number_of_int(pls),
file('/export/starexec/sandbox/tmp/tmp.4esCTTK991/Vampire---4.8_22416',fact_105_zero__is__num__zero) ).
tff(f361,plain,
! [X0: int] : ( pls = times_times_int(pls,X0) ),
inference(cnf_transformation,[],[f156]) ).
tff(f156,plain,
! [X0: int] : ( pls = times_times_int(pls,X0) ),
inference(rectify,[],[f67]) ).
tff(f67,axiom,
! [X9: int] : ( pls = times_times_int(pls,X9) ),
file('/export/starexec/sandbox/tmp/tmp.4esCTTK991/Vampire---4.8_22416',fact_66_mult__Pls) ).
tff(f640,plain,
ord_less_int(plus_plus_int(one_one_int,power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat))),times_times_int(zero_zero_int,plus_plus_int(one_one_int,times_times_int(m,bit0(bit0(bit1(zero_zero_int))))))),
inference(backward_demodulation,[],[f607,f612]) ).
tff(f607,plain,
ord_less_int(plus_plus_int(one_one_int,power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat))),times_times_int(zero_zero_int,plus_plus_int(one_one_int,times_times_int(m,bit0(bit0(bit1(pls))))))),
inference(forward_demodulation,[],[f602,f421]) ).
tff(f602,plain,
ord_less_int(plus_plus_int(power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat)),one_one_int),times_times_int(zero_zero_int,plus_plus_int(one_one_int,times_times_int(m,bit0(bit0(bit1(pls))))))),
inference(backward_demodulation,[],[f557,f421]) ).
tff(f557,plain,
ord_less_int(plus_plus_int(power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat)),one_one_int),times_times_int(zero_zero_int,plus_plus_int(times_times_int(m,bit0(bit0(bit1(pls)))),one_one_int))),
inference(backward_demodulation,[],[f468,f360]) ).
tff(f468,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,[],[f463,f296]) ).
tff(f296,plain,
! [X0: int,X1: int] : ( times_times_int(X0,X1) = times_times_int(X1,X0) ),
inference(cnf_transformation,[],[f119]) ).
tff(f119,plain,
! [X0: int,X1: int] : ( times_times_int(X0,X1) = times_times_int(X1,X0) ),
inference(rectify,[],[f26]) ).
tff(f26,axiom,
! [X11: int,X9: int] : ( times_times_int(X11,X9) = times_times_int(X9,X11) ),
file('/export/starexec/sandbox/tmp/tmp.4esCTTK991/Vampire---4.8_22416',fact_25_zmult__commute) ).
tff(f463,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(bit0(bit0(bit1(pls))),m),one_one_int))),
inference(backward_demodulation,[],[f458,f296]) ).
tff(f458,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,[],[f442,f295]) ).
tff(f442,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,[],[f269,f270]) ).
tff(f270,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,[],[f4]) ).
tff(f4,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/tmp/tmp.4esCTTK991/Vampire---4.8_22416',fact_3_t) ).
tff(f269,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,[],[f3]) ).
tff(f3,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/tmp/tmp.4esCTTK991/Vampire---4.8_22416',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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM924_1 : TPTP v8.1.2. Released v5.3.0.
% 0.14/0.14 % 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
% 0.15/0.35 % Computer : n003.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 14:54:08 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a TF0_CAX_EQU_NAR 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/tmp/tmp.4esCTTK991/Vampire---4.8_22416
% 0.57/0.75 % (22531)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 (2996ds/56Mi)
% 0.57/0.75 % (22524)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 (2996ds/34Mi)
% 0.57/0.75 % (22527)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.75 % (22526)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75 % (22525)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 (2996ds/51Mi)
% 0.57/0.75 % (22529)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.75 % (22528)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 (2996ds/34Mi)
% 0.57/0.75 % (22530)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 (2996ds/83Mi)
% 0.57/0.75 % (22528)Refutation not found, incomplete strategy% (22528)------------------------------
% 0.57/0.75 % (22528)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (22528)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (22528)Memory used [KB]: 1164
% 0.57/0.75 % (22528)Time elapsed: 0.006 s
% 0.57/0.75 % (22528)Instructions burned: 10 (million)
% 0.57/0.75 % (22528)------------------------------
% 0.57/0.75 % (22528)------------------------------
% 0.57/0.76 % (22529)Refutation not found, incomplete strategy% (22529)------------------------------
% 0.57/0.76 % (22529)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (22529)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (22529)Memory used [KB]: 1238
% 0.57/0.76 % (22529)Time elapsed: 0.008 s
% 0.57/0.76 % (22529)Instructions burned: 12 (million)
% 0.57/0.76 % (22529)------------------------------
% 0.57/0.76 % (22529)------------------------------
% 0.57/0.76 % (22532)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 (2996ds/55Mi)
% 0.57/0.76 % (22533)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 (2996ds/50Mi)
% 0.61/0.77 % (22531)Instruction limit reached!
% 0.61/0.77 % (22531)------------------------------
% 0.61/0.77 % (22531)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77 % (22531)Termination reason: Unknown
% 0.61/0.77 % (22531)Termination phase: Saturation
% 0.61/0.77
% 0.61/0.77 % (22531)Memory used [KB]: 1568
% 0.61/0.77 % (22531)Time elapsed: 0.019 s
% 0.61/0.77 % (22531)Instructions burned: 58 (million)
% 0.61/0.77 % (22531)------------------------------
% 0.61/0.77 % (22531)------------------------------
% 0.61/0.77 % (22534)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 (2996ds/208Mi)
% 0.61/0.77 % (22524)Instruction limit reached!
% 0.61/0.77 % (22524)------------------------------
% 0.61/0.77 % (22524)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77 % (22524)Termination reason: Unknown
% 0.61/0.77 % (22524)Termination phase: Saturation
% 0.61/0.77
% 0.61/0.77 % (22524)Memory used [KB]: 1372
% 0.61/0.77 % (22524)Time elapsed: 0.021 s
% 0.61/0.77 % (22524)Instructions burned: 35 (million)
% 0.61/0.77 % (22524)------------------------------
% 0.61/0.77 % (22524)------------------------------
% 0.61/0.77 % (22527)Instruction limit reached!
% 0.61/0.77 % (22527)------------------------------
% 0.61/0.77 % (22527)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77 % (22527)Termination reason: Unknown
% 0.61/0.77 % (22527)Termination phase: Saturation
% 0.61/0.77
% 0.61/0.77 % (22527)Memory used [KB]: 1588
% 0.61/0.77 % (22527)Time elapsed: 0.022 s
% 0.61/0.77 % (22527)Instructions burned: 34 (million)
% 0.61/0.77 % (22527)------------------------------
% 0.61/0.77 % (22527)------------------------------
% 0.61/0.77 % (22532)First to succeed.
% 0.61/0.77 % (22535)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 (2996ds/52Mi)
% 0.61/0.77 % (22532)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22523"
% 0.61/0.77 % (22536)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 Vampire---4 for (2995ds/518Mi)
% 0.61/0.77 % (22532)Refutation found. Thanks to Tanya!
% 0.61/0.77 % SZS status Theorem for Vampire---4
% 0.61/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.78 % (22532)------------------------------
% 0.61/0.78 % (22532)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78 % (22532)Termination reason: Refutation
% 0.61/0.78
% 0.61/0.78 % (22532)Memory used [KB]: 1282
% 0.61/0.78 % (22532)Time elapsed: 0.016 s
% 0.61/0.78 % (22532)Instructions burned: 26 (million)
% 0.61/0.78 % (22523)Success in time 0.405 s
% 0.61/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------