TSTP Solution File: SWV629_5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV629_5 : TPTP v8.1.2. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n002.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 11:10:09 EDT 2024
% Result : Theorem 0.13s 0.39s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 60
% Syntax : Number of formulae : 73 ( 13 unt; 56 typ; 0 def)
% Number of atoms : 21 ( 14 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 2 |; 0 &)
% ( 0 <=>; 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 : 31 ( 29 usr; 1 prp; 0-4 aty)
% Number of functors : 23 ( 23 usr; 3 con; 0-4 aty)
% Number of variables : 54 ( 12 !; 0 ?; 54 :)
% ( 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] : ( X0 > nat ) ).
tff(func_def_15,type,
sK1:
!>[X0: $tType] : ( fun(X0,bool) > nat ) ).
tff(func_def_16,type,
sK2: int > nat ).
tff(func_def_17,type,
sK3: int > nat ).
tff(func_def_18,type,
sK4: fun(int,bool) > nat ).
tff(func_def_19,type,
sK5: fun(int,bool) > int ).
tff(func_def_20,type,
sK6: fun(int,bool) > int ).
tff(func_def_21,type,
sK7: fun(int,bool) > 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(f608,plain,
$false,
inference(trivial_inequality_removal,[],[f605]) ).
tff(f605,plain,
one_one(complex) != one_one(complex),
inference(superposition,[],[f352,f603]) ).
tff(f603,plain,
one_one(complex) = fFT_Mirabelle_root(one_one(nat)),
inference(superposition,[],[f600,f424]) ).
tff(f424,plain,
! [X0: nat] : ( one_one(complex) = power_power(complex,fFT_Mirabelle_root(X0),X0) ),
inference(cnf_transformation,[],[f167]) ).
tff(f167,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/benchmark/theBenchmark.p',fact_2_root__unity) ).
tff(f600,plain,
! [X0: complex] : ( power_power(complex,X0,one_one(nat)) = X0 ),
inference(resolution,[],[f456,f378]) ).
tff(f378,plain,
monoid_mult(complex),
inference(cnf_transformation,[],[f141]) ).
tff(f141,axiom,
monoid_mult(complex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex_Ocomplex___Groups_Omonoid__mult) ).
tff(f456,plain,
! [X0: $tType,X1: X0] :
( ~ monoid_mult(X0)
| ( power_power(X0,X1,one_one(nat)) = X1 ) ),
inference(cnf_transformation,[],[f274]) ).
tff(f274,plain,
! [X0: $tType] :
( ! [X1: X0] : ( power_power(X0,X1,one_one(nat)) = X1 )
| ~ monoid_mult(X0) ),
inference(ennf_transformation,[],[f187]) ).
tff(f187,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/benchmark/theBenchmark.p',fact_55_power__one__right) ).
tff(f352,plain,
one_one(complex) != fFT_Mirabelle_root(one_one(nat)),
inference(cnf_transformation,[],[f159]) ).
tff(f159,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/benchmark/theBenchmark.p',conj_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWV629_5 : TPTP v8.1.2. Released v6.0.0.
% 0.08/0.16 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.36 % Computer : n002.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Fri May 3 21:03:08 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % (5204)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.38 % (5207)WARNING: value z3 for option sas not known
% 0.13/0.38 % (5207)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.38 % (5206)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.38 % (5208)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.38 % (5209)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.38 % (5211)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.38 % (5210)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.39 % (5211)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.39 % Exception at run slice level% Exception at run slice level
% 0.13/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.39
% 0.13/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.39 % (5205)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.39 % Exception at run slice level
% 0.13/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.39 % (5210)First to succeed.
% 0.13/0.39 % (5210)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5204"
% 0.13/0.39 % (5210)Refutation found. Thanks to Tanya!
% 0.13/0.39 % SZS status Theorem for theBenchmark
% 0.13/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.39 % (5210)------------------------------
% 0.13/0.39 % (5210)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.39 % (5210)Termination reason: Refutation
% 0.13/0.39
% 0.13/0.39 % (5210)Memory used [KB]: 1117
% 0.13/0.39 % (5210)Time elapsed: 0.010 s
% 0.13/0.39 % (5210)Instructions burned: 16 (million)
% 0.13/0.39 % (5204)Success in time 0.028 s
%------------------------------------------------------------------------------