TSTP Solution File: SWV633_5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV633_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 : n016.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 0.22s 0.45s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 44
% Syntax : Number of formulae : 61 ( 13 unt; 40 typ; 0 def)
% Number of atoms : 29 ( 18 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 4 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number of types : 6 ( 5 usr)
% Number of type conns : 19 ( 13 >; 6 *; 0 +; 0 <<)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 7 con; 0-4 aty)
% Number of variables : 57 ( 33 !; 0 ?; 57 :)
% ( 24 !>; 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,
real: $tType ).
tff(type_def_10,type,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
ii: complex ).
tff(func_def_1,type,
fFT_Mirabelle_root: nat > complex ).
tff(func_def_2,type,
plus_plus:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_3,type,
times_times:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_4,type,
uminus_uminus:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_5,type,
bit0: int > int ).
tff(func_def_6,type,
bit1: int > int ).
tff(func_def_7,type,
pls: int ).
tff(func_def_8,type,
number_number_of:
!>[X0: $tType] : ( int > X0 ) ).
tff(func_def_9,type,
suc: nat > nat ).
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,
i: nat ).
tff(func_def_15,type,
j: nat ).
tff(func_def_16,type,
m: nat ).
tff(func_def_17,type,
sK0:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(pred_def_1,type,
number:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
idom:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
power:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
ring_1:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
uminus:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
semiring:
!>[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,
monoid_mult:
!>[X0: $tType] : $o ).
tff(pred_def_10,type,
number_semiring:
!>[X0: $tType] : $o ).
tff(pred_def_11,type,
comm_semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_12,type,
comm_monoid_mult:
!>[X0: $tType] : $o ).
tff(pred_def_13,type,
boolean_algebra:
!>[X0: $tType] : $o ).
tff(pred_def_14,type,
ab_sem1668676832m_mult:
!>[X0: $tType] : $o ).
tff(pred_def_15,type,
semiri456707255roduct:
!>[X0: $tType] : $o ).
tff(pred_def_16,type,
pp: bool > $o ).
tff(f1463,plain,
$false,
inference(trivial_inequality_removal,[],[f1462]) ).
tff(f1462,plain,
power_power(complex,fFT_Mirabelle_root(times_times(nat,m,number_number_of(nat,bit0(bit1(pls))))),times_times(nat,i,times_times(nat,j,number_number_of(nat,bit0(bit1(pls)))))) != power_power(complex,fFT_Mirabelle_root(times_times(nat,m,number_number_of(nat,bit0(bit1(pls))))),times_times(nat,i,times_times(nat,j,number_number_of(nat,bit0(bit1(pls)))))),
inference(backward_demodulation,[],[f569,f1460]) ).
tff(f1460,plain,
! [X2: nat,X0: nat,X1: nat] : ( times_times(nat,X0,times_times(nat,X1,X2)) = times_times(nat,times_times(nat,X0,X1),X2) ),
inference(resolution,[],[f459,f385]) ).
tff(f385,plain,
comm_semiring_1(nat),
inference(cnf_transformation,[],[f115]) ).
tff(f115,axiom,
comm_semiring_1(nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat_Onat___Rings_Ocomm__semiring__1) ).
tff(f459,plain,
! [X0: $tType,X2: X0,X3: X0,X1: X0] :
( ~ comm_semiring_1(X0)
| ( times_times(X0,X3,times_times(X0,X2,X1)) = times_times(X0,times_times(X0,X3,X2),X1) ) ),
inference(cnf_transformation,[],[f299]) ).
tff(f299,plain,
! [X0: $tType] :
( ! [X1: X0,X2: X0,X3: X0] : ( times_times(X0,X3,times_times(X0,X2,X1)) = times_times(X0,times_times(X0,X3,X2),X1) )
| ~ comm_semiring_1(X0) ),
inference(ennf_transformation,[],[f214]) ).
tff(f214,plain,
! [X0: $tType] :
( comm_semiring_1(X0)
=> ! [X1: X0,X2: X0,X3: X0] : ( times_times(X0,X3,times_times(X0,X2,X1)) = times_times(X0,times_times(X0,X3,X2),X1) ) ),
inference(rectify,[],[f26]) ).
tff(f26,axiom,
! [X0: $tType] :
( comm_semiring_1(X0)
=> ! [X15: X0,X16: X0,X18: X0] : ( times_times(X0,X18,times_times(X0,X16,X15)) = times_times(X0,times_times(X0,X18,X16),X15) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_25_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J) ).
tff(f569,plain,
power_power(complex,fFT_Mirabelle_root(times_times(nat,m,number_number_of(nat,bit0(bit1(pls))))),times_times(nat,times_times(nat,i,j),number_number_of(nat,bit0(bit1(pls))))) != power_power(complex,fFT_Mirabelle_root(times_times(nat,m,number_number_of(nat,bit0(bit1(pls))))),times_times(nat,i,times_times(nat,j,number_number_of(nat,bit0(bit1(pls)))))),
inference(forward_demodulation,[],[f568,f565]) ).
tff(f565,plain,
! [X0: nat,X1: nat] : ( times_times(nat,X1,X0) = times_times(nat,X0,X1) ),
inference(resolution,[],[f447,f385]) ).
tff(f447,plain,
! [X0: $tType,X2: X0,X1: X0] :
( ~ comm_semiring_1(X0)
| ( times_times(X0,X2,X1) = times_times(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f287]) ).
tff(f287,plain,
! [X0: $tType] :
( ! [X1: X0,X2: X0] : ( times_times(X0,X2,X1) = times_times(X0,X1,X2) )
| ~ comm_semiring_1(X0) ),
inference(ennf_transformation,[],[f202]) ).
tff(f202,plain,
! [X0: $tType] :
( comm_semiring_1(X0)
=> ! [X1: X0,X2: X0] : ( times_times(X0,X2,X1) = times_times(X0,X1,X2) ) ),
inference(rectify,[],[f28]) ).
tff(f28,axiom,
! [X0: $tType] :
( comm_semiring_1(X0)
=> ! [X19: X0,X5: X0] : ( times_times(X0,X5,X19) = times_times(X0,X19,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_27_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J) ).
tff(f568,plain,
power_power(complex,fFT_Mirabelle_root(times_times(nat,m,number_number_of(nat,bit0(bit1(pls))))),times_times(nat,i,times_times(nat,number_number_of(nat,bit0(bit1(pls))),j))) != power_power(complex,fFT_Mirabelle_root(times_times(nat,m,number_number_of(nat,bit0(bit1(pls))))),times_times(nat,times_times(nat,i,j),number_number_of(nat,bit0(bit1(pls))))),
inference(forward_demodulation,[],[f567,f565]) ).
tff(f567,plain,
power_power(complex,fFT_Mirabelle_root(times_times(nat,number_number_of(nat,bit0(bit1(pls))),m)),times_times(nat,i,times_times(nat,number_number_of(nat,bit0(bit1(pls))),j))) != power_power(complex,fFT_Mirabelle_root(times_times(nat,number_number_of(nat,bit0(bit1(pls))),m)),times_times(nat,times_times(nat,i,j),number_number_of(nat,bit0(bit1(pls))))),
inference(backward_demodulation,[],[f339,f565]) ).
tff(f339,plain,
power_power(complex,fFT_Mirabelle_root(times_times(nat,number_number_of(nat,bit0(bit1(pls))),m)),times_times(nat,i,times_times(nat,number_number_of(nat,bit0(bit1(pls))),j))) != power_power(complex,fFT_Mirabelle_root(times_times(nat,number_number_of(nat,bit0(bit1(pls))),m)),times_times(nat,number_number_of(nat,bit0(bit1(pls))),times_times(nat,i,j))),
inference(cnf_transformation,[],[f153]) ).
tff(f153,plain,
power_power(complex,fFT_Mirabelle_root(times_times(nat,number_number_of(nat,bit0(bit1(pls))),m)),times_times(nat,i,times_times(nat,number_number_of(nat,bit0(bit1(pls))),j))) != power_power(complex,fFT_Mirabelle_root(times_times(nat,number_number_of(nat,bit0(bit1(pls))),m)),times_times(nat,number_number_of(nat,bit0(bit1(pls))),times_times(nat,i,j))),
inference(flattening,[],[f152]) ).
tff(f152,negated_conjecture,
( ~ power_power(complex,fFT_Mirabelle_root(times_times(nat,number_number_of(nat,bit0(bit1(pls))),m)),times_times(nat,i,times_times(nat,number_number_of(nat,bit0(bit1(pls))),j))) = power_power(complex,fFT_Mirabelle_root(times_times(nat,number_number_of(nat,bit0(bit1(pls))),m)),times_times(nat,number_number_of(nat,bit0(bit1(pls))),times_times(nat,i,j))) ),
inference(negated_conjecture,[],[f151]) ).
tff(f151,conjecture,
power_power(complex,fFT_Mirabelle_root(times_times(nat,number_number_of(nat,bit0(bit1(pls))),m)),times_times(nat,i,times_times(nat,number_number_of(nat,bit0(bit1(pls))),j))) = power_power(complex,fFT_Mirabelle_root(times_times(nat,number_number_of(nat,bit0(bit1(pls))),m)),times_times(nat,number_number_of(nat,bit0(bit1(pls))),times_times(nat,i,j))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWV633_5 : TPTP v8.1.2. Released v6.0.0.
% 0.10/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 21:14:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (3610)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (3613)WARNING: value z3 for option sas not known
% 0.14/0.38 % (3614)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (3615)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)
% 0.14/0.38 % (3611)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (3613)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)
% 0.14/0.38 % (3612)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (3616)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)
% 0.14/0.38 % (3617)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)
% 0.14/0.38 % (3617)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.38 % Exception at run slice level
% 0.14/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.38 % Exception at run slice level
% 0.14/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.38 % Exception at run slice level
% 0.14/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.40 % (3618)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.14/0.40 % (3620)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.14/0.40 % (3619)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.14/0.40 % (3618)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.40 % Exception at run slice level
% 0.14/0.40 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.40 % (3619)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.22/0.42 % (3621)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 0.22/0.45 % (3620)First to succeed.
% 0.22/0.45 % (3620)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3610"
% 0.22/0.45 % (3620)Refutation found. Thanks to Tanya!
% 0.22/0.45 % SZS status Theorem for theBenchmark
% 0.22/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.45 % (3620)------------------------------
% 0.22/0.45 % (3620)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.45 % (3620)Termination reason: Refutation
% 0.22/0.45
% 0.22/0.45 % (3620)Memory used [KB]: 1401
% 0.22/0.45 % (3620)Time elapsed: 0.052 s
% 0.22/0.45 % (3620)Instructions burned: 82 (million)
% 0.22/0.45 % (3610)Success in time 0.095 s
%------------------------------------------------------------------------------