TSTP Solution File: SWV629_5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV629_5 : TPTP v8.1.2. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n021.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 10:38:52 EDT 2024
% Result : Theorem 0.60s 0.77s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 62
% Syntax : Number of formulae : 81 ( 12 unt; 56 typ; 0 def)
% Number of atoms : 38 ( 15 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 26 ( 13 ~; 9 |; 0 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number of types : 5 ( 4 usr)
% Number of type conns : 31 ( 23 >; 8 *; 0 +; 0 <<)
% Number of predicates : 33 ( 31 usr; 3 prp; 0-4 aty)
% Number of functors : 23 ( 23 usr; 3 con; 0-4 aty)
% Number of variables : 53 ( 11 !; 0 ?; 53 :)
% ( 42 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
complex: $tType ).
tff(type_def_6,type,
bool: $tType ).
tff(type_def_7,type,
int: $tType ).
tff(type_def_8,type,
nat: $tType ).
tff(type_def_9,type,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
cnj: complex > complex ).
tff(func_def_1,type,
ii: complex ).
tff(func_def_2,type,
fFT_Mirabelle_root: nat > complex ).
tff(func_def_3,type,
one_one:
!>[X0: $tType] : X0 ).
tff(func_def_4,type,
sgn_sgn:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_5,type,
zero_zero:
!>[X0: $tType] : X0 ).
tff(func_def_6,type,
if:
!>[X0: $tType] : ( ( bool * X0 * X0 ) > X0 ) ).
tff(func_def_7,type,
number_number_of:
!>[X0: $tType] : ( int > X0 ) ).
tff(func_def_8,type,
semiring_1_Nats:
!>[X0: $tType] : fun(X0,bool) ).
tff(func_def_9,type,
semiring_1_of_nat:
!>[X0: $tType] : ( nat > X0 ) ).
tff(func_def_10,type,
power_power:
!>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).
tff(func_def_11,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_12,type,
fFalse: bool ).
tff(func_def_13,type,
fTrue: bool ).
tff(func_def_14,type,
sK0:
!>[X0: $tType] : ( fun(X0,bool) > nat ) ).
tff(func_def_15,type,
sK1:
!>[X0: $tType] : ( X0 > nat ) ).
tff(func_def_16,type,
sK2: fun(int,bool) > nat ).
tff(func_def_17,type,
sK3: fun(int,bool) > int ).
tff(func_def_18,type,
sK4: fun(int,bool) > int ).
tff(func_def_19,type,
sK5: fun(int,bool) > nat ).
tff(func_def_20,type,
sK6: int > nat ).
tff(func_def_21,type,
sK7: int > nat ).
tff(pred_def_1,type,
one:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
number:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
zero:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
power:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
field:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
sgn_if:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
number_ring:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
ring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
mult_zero:
!>[X0: $tType] : $o ).
tff(pred_def_10,type,
semiring_0:
!>[X0: $tType] : $o ).
tff(pred_def_11,type,
semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_12,type,
monoid_mult:
!>[X0: $tType] : $o ).
tff(pred_def_13,type,
zero_neq_one:
!>[X0: $tType] : $o ).
tff(pred_def_14,type,
ab_group_add:
!>[X0: $tType] : $o ).
tff(pred_def_15,type,
number_semiring:
!>[X0: $tType] : $o ).
tff(pred_def_16,type,
semiring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_17,type,
comm_semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_18,type,
linordered_idom:
!>[X0: $tType] : $o ).
tff(pred_def_19,type,
no_zero_divisors:
!>[X0: $tType] : $o ).
tff(pred_def_20,type,
linordered_semidom:
!>[X0: $tType] : $o ).
tff(pred_def_21,type,
real_normed_vector:
!>[X0: $tType] : $o ).
tff(pred_def_22,type,
ring_11004092258visors:
!>[X0: $tType] : $o ).
tff(pred_def_23,type,
real_n2089651433ebra_1:
!>[X0: $tType] : $o ).
tff(pred_def_24,type,
iszero:
!>[X0: $tType] : ( X0 > $o ) ).
tff(pred_def_25,type,
nat_tr1645093318rphism:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,bool) ) > $o ) ).
tff(pred_def_26,type,
ord_less_eq:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_27,type,
vector_space:
!>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X1)) > $o ) ).
tff(pred_def_28,type,
member:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > $o ) ).
tff(pred_def_29,type,
pp: bool > $o ).
tff(f728,plain,
$false,
inference(avatar_sat_refutation,[],[f720,f722,f727]) ).
tff(f727,plain,
~ spl8_19,
inference(avatar_contradiction_clause,[],[f726]) ).
tff(f726,plain,
( $false
| ~ spl8_19 ),
inference(trivial_inequality_removal,[],[f723]) ).
tff(f723,plain,
( ( one_one(complex) != one_one(complex) )
| ~ spl8_19 ),
inference(superposition,[],[f524,f710]) ).
tff(f710,plain,
( ( one_one(complex) = fFT_Mirabelle_root(one_one(nat)) )
| ~ spl8_19 ),
inference(avatar_component_clause,[],[f708]) ).
tff(f708,plain,
( spl8_19
<=> ( one_one(complex) = fFT_Mirabelle_root(one_one(nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_19])]) ).
tff(f524,plain,
one_one(complex) != fFT_Mirabelle_root(one_one(nat)),
inference(cnf_transformation,[],[f235]) ).
tff(f235,plain,
one_one(complex) != fFT_Mirabelle_root(one_one(nat)),
inference(flattening,[],[f158]) ).
tff(f158,negated_conjecture,
( ~ one_one(complex) = fFT_Mirabelle_root(one_one(nat)) ),
inference(negated_conjecture,[],[f157]) ).
tff(f157,conjecture,
one_one(complex) = fFT_Mirabelle_root(one_one(nat)),
file('/export/starexec/sandbox2/tmp/tmp.jCc2Iz0ySX/Vampire---4.8_16592',conj_0) ).
tff(f722,plain,
spl8_18,
inference(avatar_contradiction_clause,[],[f721]) ).
tff(f721,plain,
( $false
| spl8_18 ),
inference(resolution,[],[f706,f509]) ).
tff(f509,plain,
monoid_mult(complex),
inference(cnf_transformation,[],[f141]) ).
tff(f141,axiom,
monoid_mult(complex),
file('/export/starexec/sandbox2/tmp/tmp.jCc2Iz0ySX/Vampire---4.8_16592',arity_Complex_Ocomplex___Groups_Omonoid__mult) ).
tff(f706,plain,
( ~ monoid_mult(complex)
| spl8_18 ),
inference(avatar_component_clause,[],[f704]) ).
tff(f704,plain,
( spl8_18
<=> monoid_mult(complex) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_18])]) ).
tff(f720,plain,
( ~ spl8_18
| spl8_19 ),
inference(avatar_split_clause,[],[f702,f708,f704]) ).
tff(f702,plain,
( ( one_one(complex) = fFT_Mirabelle_root(one_one(nat)) )
| ~ monoid_mult(complex) ),
inference(superposition,[],[f355,f411]) ).
tff(f411,plain,
! [X0: $tType,X1: X0] :
( ( power_power(X0,X1,one_one(nat)) = X1 )
| ~ monoid_mult(X0) ),
inference(cnf_transformation,[],[f281]) ).
tff(f281,plain,
! [X0: $tType] :
( ! [X1: X0] : ( power_power(X0,X1,one_one(nat)) = X1 )
| ~ monoid_mult(X0) ),
inference(ennf_transformation,[],[f196]) ).
tff(f196,plain,
! [X0: $tType] :
( monoid_mult(X0)
=> ! [X1: X0] : ( power_power(X0,X1,one_one(nat)) = X1 ) ),
inference(rectify,[],[f56]) ).
tff(f56,axiom,
! [X0: $tType] :
( monoid_mult(X0)
=> ! [X13: X0] : ( power_power(X0,X13,one_one(nat)) = X13 ) ),
file('/export/starexec/sandbox2/tmp/tmp.jCc2Iz0ySX/Vampire---4.8_16592',fact_55_power__one__right) ).
tff(f355,plain,
! [X0: nat] : ( one_one(complex) = power_power(complex,fFT_Mirabelle_root(X0),X0) ),
inference(cnf_transformation,[],[f160]) ).
tff(f160,plain,
! [X0: nat] : ( one_one(complex) = power_power(complex,fFT_Mirabelle_root(X0),X0) ),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
! [X3: nat] : ( one_one(complex) = power_power(complex,fFT_Mirabelle_root(X3),X3) ),
file('/export/starexec/sandbox2/tmp/tmp.jCc2Iz0ySX/Vampire---4.8_16592',fact_2_root__unity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWV629_5 : TPTP v8.1.2. Released v6.0.0.
% 0.12/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.37 % Computer : n021.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Fri May 3 21:03:08 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a TF1_THM_EQU_NAR problem
% 0.15/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.jCc2Iz0ySX/Vampire---4.8_16592
% 0.56/0.75 % (16935)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)
% 0.60/0.75 % (16928)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)
% 0.60/0.75 % (16935)Refutation not found, incomplete strategy% (16935)------------------------------
% 0.60/0.75 % (16935)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.75 % (16935)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.75
% 0.60/0.75 % (16930)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.75 % (16935)Memory used [KB]: 1074
% 0.60/0.75 % (16935)Time elapsed: 0.002 s
% 0.60/0.75 % (16935)Instructions burned: 3 (million)
% 0.60/0.75 % (16932)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)
% 0.60/0.75 % (16933)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)
% 0.60/0.75 % (16931)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)
% 0.60/0.75 % (16934)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)
% 0.60/0.75 % (16929)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)
% 0.60/0.76 % (16935)------------------------------
% 0.60/0.76 % (16935)------------------------------
% 0.60/0.76 % (16934)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.60/0.76 % (16931)Refutation not found, incomplete strategy% (16931)------------------------------
% 0.60/0.76 % (16931)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (16931)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (16931)Memory used [KB]: 1071
% 0.60/0.76 % (16931)Time elapsed: 0.003 s
% 0.60/0.76 % (16931)Instructions burned: 2 (million)
% 0.60/0.76 % (16934)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.60/0.76 % (16931)------------------------------
% 0.60/0.76 % (16931)------------------------------
% 0.60/0.76 % (16933)Refutation not found, incomplete strategy% (16933)------------------------------
% 0.60/0.76 % (16933)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (16933)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (16933)Memory used [KB]: 1077
% 0.60/0.76 % (16933)Time elapsed: 0.003 s
% 0.60/0.76 % (16933)Instructions burned: 3 (million)
% 0.60/0.76 % (16933)------------------------------
% 0.60/0.76 % (16933)------------------------------
% 0.60/0.76 % (16934)Refutation not found, incomplete strategy% (16934)------------------------------
% 0.60/0.76 % (16934)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (16936)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)
% 0.60/0.76 % (16934)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (16928)Refutation not found, incomplete strategy% (16928)------------------------------
% 0.60/0.76 % (16928)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (16928)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (16928)Memory used [KB]: 1099
% 0.60/0.76 % (16928)Time elapsed: 0.004 s
% 0.60/0.76 % (16928)Instructions burned: 5 (million)
% 0.60/0.76 % (16934)Memory used [KB]: 1078
% 0.60/0.76 % (16934)Time elapsed: 0.004 s
% 0.60/0.76 % (16934)Instructions burned: 5 (million)
% 0.60/0.76 % (16928)------------------------------
% 0.60/0.76 % (16928)------------------------------
% 0.60/0.76 % (16934)------------------------------
% 0.60/0.76 % (16934)------------------------------
% 0.60/0.76 % (16932)Refutation not found, incomplete strategy% (16932)------------------------------
% 0.60/0.76 % (16932)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (16932)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (16932)Memory used [KB]: 1263
% 0.60/0.76 % (16932)Time elapsed: 0.006 s
% 0.60/0.76 % (16932)Instructions burned: 10 (million)
% 0.60/0.76 % (16932)------------------------------
% 0.60/0.76 % (16932)------------------------------
% 0.60/0.76 % (16937)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)
% 0.60/0.76 % (16938)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)
% 0.60/0.76 % (16939)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)
% 0.60/0.76 % (16940)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 (2996ds/518Mi)
% 0.60/0.76 % (16938)Refutation not found, incomplete strategy% (16938)------------------------------
% 0.60/0.76 % (16938)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (16938)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (16938)Memory used [KB]: 1079
% 0.60/0.76 % (16938)Time elapsed: 0.005 s
% 0.60/0.76 % (16938)Instructions burned: 4 (million)
% 0.60/0.76 % (16940)Refutation not found, incomplete strategy% (16940)------------------------------
% 0.60/0.76 % (16940)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (16940)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (16941)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 Vampire---4 for (2996ds/42Mi)
% 0.60/0.76 % (16940)Memory used [KB]: 1072
% 0.60/0.76 % (16940)Time elapsed: 0.003 s
% 0.60/0.76 % (16940)Instructions burned: 3 (million)
% 0.60/0.76 % (16929)First to succeed.
% 0.60/0.76 % (16938)------------------------------
% 0.60/0.76 % (16938)------------------------------
% 0.60/0.77 % (16940)------------------------------
% 0.60/0.77 % (16940)------------------------------
% 0.60/0.77 % (16929)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-16773"
% 0.60/0.77 % (16929)Refutation found. Thanks to Tanya!
% 0.60/0.77 % SZS status Theorem for Vampire---4
% 0.60/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.77 % (16929)------------------------------
% 0.60/0.77 % (16929)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (16929)Termination reason: Refutation
% 0.60/0.77
% 0.60/0.77 % (16929)Memory used [KB]: 1319
% 0.60/0.77 % (16929)Time elapsed: 0.012 s
% 0.60/0.77 % (16929)Instructions burned: 16 (million)
% 0.60/0.77 % (16773)Success in time 0.388 s
% 0.60/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------