TSTP Solution File: NUM926_1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM926_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 : n032.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 May 1 03:35:33 EDT 2024
% Result : Theorem 0.76s 0.93s
% Output : Refutation 0.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 39
% Syntax : Number of formulae : 64 ( 12 unt; 31 typ; 0 def)
% Number of atoms : 66 ( 28 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 61 ( 28 ~; 20 |; 6 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 7 ( 3 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 30 ( 18 >; 12 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 11 con; 0-2 aty)
% Number of variables : 40 ( 24 !; 16 ?; 40 :)
% 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,
bit0: int > int ).
tff(func_def_7,type,
bit1: int > int ).
tff(func_def_8,type,
pls: int ).
tff(func_def_9,type,
number_number_of_int: int > int ).
tff(func_def_10,type,
number_number_of_nat: int > nat ).
tff(func_def_11,type,
power_power_int: ( int * nat ) > int ).
tff(func_def_12,type,
power_power_nat: ( nat * nat ) > nat ).
tff(func_def_13,type,
m: int ).
tff(func_def_14,type,
s: int ).
tff(func_def_15,type,
t: int ).
tff(func_def_16,type,
sK0: int ).
tff(func_def_17,type,
sK1: int ).
tff(func_def_18,type,
sK2: int ).
tff(func_def_19,type,
sK3: int ).
tff(func_def_20,type,
sK4: 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(pred_def_7,type,
sQ5_eqProxy: ( int * int ) > $o ).
tff(pred_def_8,type,
sQ6_eqProxy: ( nat * nat ) > $o ).
tff(f579,plain,
$false,
inference(subsumption_resolution,[],[f578,f294]) ).
tff(f294,plain,
ord_less_eq_int(one_one_int,t),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
ord_less_eq_int(one_one_int,t),
file('/export/starexec/sandbox/tmp/tmp.82jhCJ9ipW/Vampire---4.8_24217',fact_0_tpos) ).
tff(f578,plain,
~ ord_less_eq_int(one_one_int,t),
inference(subsumption_resolution,[],[f571,f563]) ).
tff(f563,plain,
~ ord_less_int(one_one_int,t),
inference(resolution,[],[f561,f465]) ).
tff(f465,plain,
( sQ5_eqProxy(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),plus_plus_int(power_power_int(sK2,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sK3,number_number_of_nat(bit0(bit1(pls))))))
| ~ ord_less_int(one_one_int,t) ),
inference(equality_proxy_replacement,[],[f296,f463]) ).
tff(f463,plain,
! [X0: int,X1: int] :
( sQ5_eqProxy(X0,X1)
<=> ( X0 = X1 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ5_eqProxy])]) ).
tff(f296,plain,
( ( plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) = plus_plus_int(power_power_int(sK2,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sK3,number_number_of_nat(bit0(bit1(pls))))) )
| ~ ord_less_int(one_one_int,t) ),
inference(cnf_transformation,[],[f254]) ).
tff(f254,plain,
( ( plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) = plus_plus_int(power_power_int(sK2,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sK3,number_number_of_nat(bit0(bit1(pls))))) )
| ~ ord_less_int(one_one_int,t) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f236,f253]) ).
tff(f253,plain,
( ? [X0: int,X1: int] : ( plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) )
=> ( plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) = plus_plus_int(power_power_int(sK2,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sK3,number_number_of_nat(bit0(bit1(pls))))) ) ),
introduced(choice_axiom,[]) ).
tff(f236,plain,
( ? [X0: int,X1: int] : ( plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) )
| ~ ord_less_int(one_one_int,t) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,axiom,
( ord_less_int(one_one_int,t)
=> ? [X0: int,X1: int] : ( plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) ) ),
file('/export/starexec/sandbox/tmp/tmp.82jhCJ9ipW/Vampire---4.8_24217',fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06) ).
tff(f561,plain,
! [X0: int,X1: int] : ~ sQ5_eqProxy(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls)))))),
inference(resolution,[],[f550,f552]) ).
tff(f552,plain,
! [X0: int,X1: int] :
( ~ sQ5_eqProxy(X0,X1)
| sQ5_eqProxy(X1,X0) ),
inference(equality_proxy_axiom,[],[f463]) ).
tff(f550,plain,
! [X0: int,X1: int] : ~ sQ5_eqProxy(plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)),
inference(equality_proxy_replacement,[],[f454,f463]) ).
tff(f454,plain,
! [X0: int,X1: int] : ( plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) != plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) ),
inference(cnf_transformation,[],[f250]) ).
tff(f250,plain,
! [X0: int,X1: int] : ( plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) != plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) ),
inference(ennf_transformation,[],[f125]) ).
tff(f125,negated_conjecture,
~ ? [X0: int,X1: int] : ( plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) ),
inference(negated_conjecture,[],[f124]) ).
tff(f124,conjecture,
? [X0: int,X1: int] : ( plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) ),
file('/export/starexec/sandbox/tmp/tmp.82jhCJ9ipW/Vampire---4.8_24217',conj_0) ).
tff(f571,plain,
( ord_less_int(one_one_int,t)
| ~ ord_less_eq_int(one_one_int,t) ),
inference(resolution,[],[f562,f487]) ).
tff(f487,plain,
! [X0: int,X1: int] :
( ord_less_int(X0,X1)
| sQ5_eqProxy(X0,X1)
| ~ ord_less_eq_int(X0,X1) ),
inference(equality_proxy_replacement,[],[f323,f463]) ).
tff(f323,plain,
! [X0: int,X1: int] :
( ord_less_int(X0,X1)
| ( X0 = X1 )
| ~ ord_less_eq_int(X0,X1) ),
inference(cnf_transformation,[],[f258]) ).
tff(f258,plain,
! [X0: int,X1: int] :
( ( ord_less_int(X0,X1)
| ( X0 = X1 )
| ~ ord_less_eq_int(X0,X1) )
& ( ( ( X0 != X1 )
& ord_less_eq_int(X0,X1) )
| ~ ord_less_int(X0,X1) ) ),
inference(flattening,[],[f257]) ).
tff(f257,plain,
! [X0: int,X1: int] :
( ( ord_less_int(X0,X1)
| ( X0 = X1 )
| ~ ord_less_eq_int(X0,X1) )
& ( ( ( X0 != X1 )
& ord_less_eq_int(X0,X1) )
| ~ ord_less_int(X0,X1) ) ),
inference(nnf_transformation,[],[f144]) ).
tff(f144,plain,
! [X0: int,X1: int] :
( ord_less_int(X0,X1)
<=> ( ( X0 != X1 )
& ord_less_eq_int(X0,X1) ) ),
inference(rectify,[],[f29]) ).
tff(f29,axiom,
! [X16: int,X17: int] :
( ord_less_int(X16,X17)
<=> ( ( X16 != X17 )
& ord_less_eq_int(X16,X17) ) ),
file('/export/starexec/sandbox/tmp/tmp.82jhCJ9ipW/Vampire---4.8_24217',fact_28_zless__le) ).
tff(f562,plain,
~ sQ5_eqProxy(one_one_int,t),
inference(resolution,[],[f561,f464]) ).
tff(f464,plain,
( sQ5_eqProxy(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),plus_plus_int(power_power_int(sK0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sK1,number_number_of_nat(bit0(bit1(pls))))))
| ~ sQ5_eqProxy(one_one_int,t) ),
inference(equality_proxy_replacement,[],[f295,f463,f463]) ).
tff(f295,plain,
( ( plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) = plus_plus_int(power_power_int(sK0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sK1,number_number_of_nat(bit0(bit1(pls))))) )
| ( one_one_int != t ) ),
inference(cnf_transformation,[],[f252]) ).
tff(f252,plain,
( ( plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) = plus_plus_int(power_power_int(sK0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sK1,number_number_of_nat(bit0(bit1(pls))))) )
| ( one_one_int != t ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f235,f251]) ).
tff(f251,plain,
( ? [X0: int,X1: int] : ( plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) )
=> ( plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) = plus_plus_int(power_power_int(sK0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sK1,number_number_of_nat(bit0(bit1(pls))))) ) ),
introduced(choice_axiom,[]) ).
tff(f235,plain,
( ? [X0: int,X1: int] : ( plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) )
| ( one_one_int != t ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,axiom,
( ( one_one_int = t )
=> ? [X0: int,X1: int] : ( plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) ) ),
file('/export/starexec/sandbox/tmp/tmp.82jhCJ9ipW/Vampire---4.8_24217',fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : NUM926_1 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.12 % 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 : n032.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 : Tue Apr 30 16:55:51 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 This is a TF0_THM_EQU_NAR 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.82jhCJ9ipW/Vampire---4.8_24217
% 0.17/0.34 ipcrm: permission denied for id (775094276)
% 0.17/0.34 ipcrm: permission denied for id (775225353)
% 0.17/0.34 ipcrm: permission denied for id (775323659)
% 0.17/0.34 ipcrm: permission denied for id (775356428)
% 0.17/0.34 ipcrm: permission denied for id (775585806)
% 0.17/0.36 ipcrm: permission denied for id (775880732)
% 0.17/0.36 ipcrm: permission denied for id (776503326)
% 0.17/0.36 ipcrm: permission denied for id (775946271)
% 0.17/0.36 ipcrm: permission denied for id (776667172)
% 0.17/0.37 ipcrm: permission denied for id (776765482)
% 0.17/0.37 ipcrm: permission denied for id (776831020)
% 0.17/0.37 ipcrm: permission denied for id (776896558)
% 0.17/0.38 ipcrm: permission denied for id (776962101)
% 0.17/0.38 ipcrm: permission denied for id (776994871)
% 0.17/0.38 ipcrm: permission denied for id (777027640)
% 0.17/0.38 ipcrm: permission denied for id (777158718)
% 0.17/0.39 ipcrm: permission denied for id (777224260)
% 0.17/0.39 ipcrm: permission denied for id (777322566)
% 0.17/0.39 ipcrm: permission denied for id (777519177)
% 0.17/0.40 ipcrm: permission denied for id (777748559)
% 0.17/0.40 ipcrm: permission denied for id (777977938)
% 0.17/0.40 ipcrm: permission denied for id (779092052)
% 0.17/0.40 ipcrm: permission denied for id (779190359)
% 0.17/0.41 ipcrm: permission denied for id (779518046)
% 0.17/0.41 ipcrm: permission denied for id (779616353)
% 0.17/0.41 ipcrm: permission denied for id (779714659)
% 0.17/0.42 ipcrm: permission denied for id (780075114)
% 0.17/0.42 ipcrm: permission denied for id (780501102)
% 0.17/0.43 ipcrm: permission denied for id (780599410)
% 0.17/0.43 ipcrm: permission denied for id (780697718)
% 0.17/0.43 ipcrm: permission denied for id (781222009)
% 0.17/0.43 ipcrm: permission denied for id (781451386)
% 0.17/0.43 ipcrm: permission denied for id (781516926)
% 0.17/0.44 ipcrm: permission denied for id (781647999)
% 0.73/0.93 % (24465)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.73/0.93 % (24464)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.73/0.93 % (24462)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 (2994ds/34Mi)
% 0.73/0.93 % (24466)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 (2994ds/34Mi)
% 0.73/0.93 % (24467)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.73/0.93 % (24463)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 (2994ds/51Mi)
% 0.73/0.93 % (24468)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 (2994ds/83Mi)
% 0.73/0.93 % (24469)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 (2994ds/56Mi)
% 0.76/0.93 % (24466)First to succeed.
% 0.76/0.93 % (24462)Also succeeded, but the first one will report.
% 0.76/0.93 % (24466)Refutation found. Thanks to Tanya!
% 0.76/0.93 % SZS status Theorem for Vampire---4
% 0.76/0.93 % SZS output start Proof for Vampire---4
% See solution above
% 0.76/0.93 % (24466)------------------------------
% 0.76/0.93 % (24466)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.76/0.93 % (24466)Termination reason: Refutation
% 0.76/0.93
% 0.76/0.93 % (24466)Memory used [KB]: 1263
% 0.76/0.93 % (24466)Time elapsed: 0.008 s
% 0.76/0.93 % (24466)Instructions burned: 13 (million)
% 0.76/0.93 % (24466)------------------------------
% 0.76/0.93 % (24466)------------------------------
% 0.76/0.93 % (24328)Success in time 0.608 s
% 0.76/0.93 % Vampire---4.8 exiting
%------------------------------------------------------------------------------