TSTP Solution File: SWW503_5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWW503_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 : n023.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 11:41:12 EDT 2024
% Result : Theorem 19.94s 3.22s
% Output : Refutation 19.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 71
% Syntax : Number of formulae : 86 ( 16 unt; 66 typ; 0 def)
% Number of atoms : 24 ( 17 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 2 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number of types : 5 ( 4 usr)
% Number of type conns : 28 ( 16 >; 12 *; 0 +; 0 <<)
% Number of predicates : 46 ( 44 usr; 1 prp; 0-4 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-3 aty)
% Number of variables : 76 ( 26 !; 0 ?; 76 :)
% ( 50 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
complex: $tType ).
tff(type_def_6,type,
bool: $tType ).
tff(type_def_7,type,
nat: $tType ).
tff(type_def_8,type,
real: $tType ).
tff(func_def_0,type,
inverse_divide:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_1,type,
one_one:
!>[X0: $tType] : X0 ).
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,
zero_zero:
!>[X0: $tType] : X0 ).
tff(func_def_5,type,
root: ( nat * real ) > real ).
tff(func_def_6,type,
power_power:
!>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).
tff(func_def_7,type,
norm_norm:
!>[X0: $tType] : ( X0 > real ) ).
tff(func_def_8,type,
of_real:
!>[X0: $tType] : ( real > X0 ) ).
tff(func_def_9,type,
fFalse: bool ).
tff(func_def_10,type,
fTrue: bool ).
tff(func_def_11,type,
b: complex ).
tff(func_def_12,type,
n: nat ).
tff(func_def_13,type,
na: nat ).
tff(func_def_14,type,
v: complex ).
tff(func_def_15,type,
sK9: complex ).
tff(func_def_16,type,
sK10: nat > complex ).
tff(func_def_17,type,
sK11: complex ).
tff(pred_def_1,type,
one:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
zero:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
power:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
field:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
mult_zero:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
semiring_0:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
monoid_add:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
monoid_mult:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
zero_neq_one:
!>[X0: $tType] : $o ).
tff(pred_def_10,type,
division_ring:
!>[X0: $tType] : $o ).
tff(pred_def_11,type,
real_field:
!>[X0: $tType] : $o ).
tff(pred_def_12,type,
linordered_idom:
!>[X0: $tType] : $o ).
tff(pred_def_13,type,
comm_monoid_add:
!>[X0: $tType] : $o ).
tff(pred_def_14,type,
no_zero_divisors:
!>[X0: $tType] : $o ).
tff(pred_def_15,type,
linordered_field:
!>[X0: $tType] : $o ).
tff(pred_def_16,type,
ab_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_17,type,
linordered_semidom:
!>[X0: $tType] : $o ).
tff(pred_def_18,type,
field_inverse_zero:
!>[X0: $tType] : $o ).
tff(pred_def_19,type,
real_algebra_1:
!>[X0: $tType] : $o ).
tff(pred_def_20,type,
cancel_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_21,type,
real_normed_field:
!>[X0: $tType] : $o ).
tff(pred_def_22,type,
real_normed_vector:
!>[X0: $tType] : $o ).
tff(pred_def_23,type,
ring_11004092258visors:
!>[X0: $tType] : $o ).
tff(pred_def_24,type,
cancel146912293up_add:
!>[X0: $tType] : $o ).
tff(pred_def_25,type,
linord219039673up_add:
!>[X0: $tType] : $o ).
tff(pred_def_26,type,
ordere216010020id_add:
!>[X0: $tType] : $o ).
tff(pred_def_27,type,
real_n2089651433ebra_1:
!>[X0: $tType] : $o ).
tff(pred_def_28,type,
divisi14063676e_zero:
!>[X0: $tType] : $o ).
tff(pred_def_29,type,
real_n1866405975lgebra:
!>[X0: $tType] : $o ).
tff(pred_def_30,type,
linord1117847801e_zero:
!>[X0: $tType] : $o ).
tff(pred_def_31,type,
ordere236663937imp_le:
!>[X0: $tType] : $o ).
tff(pred_def_32,type,
ordere223160158up_add:
!>[X0: $tType] : $o ).
tff(pred_def_33,type,
ord_less:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_34,type,
even_odd_even:
!>[X0: $tType] : ( X0 > $o ) ).
tff(pred_def_35,type,
pp: bool > $o ).
tff(pred_def_36,type,
sP0:
!>[X0: $tType] : ( ( X0 * nat ) > $o ) ).
tff(pred_def_37,type,
sP1:
!>[X0: $tType] : $o ).
tff(pred_def_38,type,
sP2:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_39,type,
sP3:
!>[X0: $tType] : $o ).
tff(pred_def_40,type,
sP4:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_41,type,
sP5:
!>[X0: $tType] : $o ).
tff(pred_def_42,type,
sP6:
!>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).
tff(pred_def_43,type,
sP7:
!>[X0: $tType] : $o ).
tff(pred_def_44,type,
sP8: ( nat * nat ) > $o ).
tff(f64410,plain,
$false,
inference(trivial_inequality_removal,[],[f64379]) ).
tff(f64379,plain,
inverse_divide(complex,power_power(complex,v,na),of_real(complex,norm_norm(complex,b))) != inverse_divide(complex,power_power(complex,v,na),of_real(complex,norm_norm(complex,b))),
inference(superposition,[],[f424,f8838]) ).
tff(f8838,plain,
! [X0: complex] : ( power_power(complex,inverse_divide(complex,X0,of_real(complex,root(na,norm_norm(complex,b)))),na) = inverse_divide(complex,power_power(complex,X0,na),of_real(complex,norm_norm(complex,b))) ),
inference(superposition,[],[f4970,f945]) ).
tff(f945,plain,
of_real(complex,norm_norm(complex,b)) = power_power(complex,of_real(complex,root(na,norm_norm(complex,b))),na),
inference(superposition,[],[f645,f506]) ).
tff(f506,plain,
norm_norm(complex,b) = power_power(real,root(na,norm_norm(complex,b)),na),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
norm_norm(complex,b) = power_power(real,root(na,norm_norm(complex,b)),na),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__096root_An_A_Icmod_Ab_J_A_094_An_A_061_Acmod_Ab_096) ).
tff(f645,plain,
! [X0: nat,X1: real] : ( power_power(complex,of_real(complex,X1),X0) = of_real(complex,power_power(real,X1,X0)) ),
inference(cnf_transformation,[],[f247]) ).
tff(f247,plain,
! [X0: nat,X1: real] : ( power_power(complex,of_real(complex,X1),X0) = of_real(complex,power_power(real,X1,X0)) ),
inference(rectify,[],[f9]) ).
tff(f9,axiom,
! [X3: nat,X2: real] : ( power_power(complex,of_real(complex,X2),X3) = of_real(complex,power_power(real,X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8_complex__of__real__power) ).
tff(f4970,plain,
! [X2: nat,X0: complex,X1: complex] : ( power_power(complex,inverse_divide(complex,X0,X1),X2) = inverse_divide(complex,power_power(complex,X0,X2),power_power(complex,X1,X2)) ),
inference(resolution,[],[f580,f450]) ).
tff(f450,plain,
field_inverse_zero(complex),
inference(cnf_transformation,[],[f157]) ).
tff(f157,axiom,
field_inverse_zero(complex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex_Ocomplex___Fields_Ofield__inverse__zero) ).
tff(f580,plain,
! [X0: $tType,X2: X0,X3: X0,X1: nat] :
( ~ field_inverse_zero(X0)
| ( power_power(X0,inverse_divide(X0,X3,X2),X1) = inverse_divide(X0,power_power(X0,X3,X1),power_power(X0,X2,X1)) ) ),
inference(cnf_transformation,[],[f296]) ).
tff(f296,plain,
! [X0: $tType] :
( ! [X1: nat,X2: X0,X3: X0] : ( power_power(X0,inverse_divide(X0,X3,X2),X1) = inverse_divide(X0,power_power(X0,X3,X1),power_power(X0,X2,X1)) )
| ~ field_inverse_zero(X0) ),
inference(ennf_transformation,[],[f203]) ).
tff(f203,plain,
! [X0: $tType] :
( field_inverse_zero(X0)
=> ! [X1: nat,X2: X0,X3: X0] : ( power_power(X0,inverse_divide(X0,X3,X2),X1) = inverse_divide(X0,power_power(X0,X3,X1),power_power(X0,X2,X1)) ) ),
inference(rectify,[],[f14]) ).
tff(f14,axiom,
! [X0: $tType] :
( field_inverse_zero(X0)
=> ! [X3: nat,X6: X0,X7: X0] : ( power_power(X0,inverse_divide(X0,X7,X6),X3) = inverse_divide(X0,power_power(X0,X7,X3),power_power(X0,X6,X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13_power__divide) ).
tff(f424,plain,
power_power(complex,inverse_divide(complex,v,of_real(complex,root(na,norm_norm(complex,b)))),na) != inverse_divide(complex,power_power(complex,v,na),of_real(complex,norm_norm(complex,b))),
inference(cnf_transformation,[],[f176]) ).
tff(f176,plain,
power_power(complex,inverse_divide(complex,v,of_real(complex,root(na,norm_norm(complex,b)))),na) != inverse_divide(complex,power_power(complex,v,na),of_real(complex,norm_norm(complex,b))),
inference(flattening,[],[f175]) ).
tff(f175,negated_conjecture,
( ~ power_power(complex,inverse_divide(complex,v,of_real(complex,root(na,norm_norm(complex,b)))),na) = inverse_divide(complex,power_power(complex,v,na),of_real(complex,norm_norm(complex,b))) ),
inference(negated_conjecture,[],[f174]) ).
tff(f174,conjecture,
power_power(complex,inverse_divide(complex,v,of_real(complex,root(na,norm_norm(complex,b)))),na) = inverse_divide(complex,power_power(complex,v,na),of_real(complex,norm_norm(complex,b))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW503_5 : TPTP v8.1.2. Released v6.0.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n023.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 19:24:08 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.22/0.36 % (3422)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.37 % (3423)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.37 % Exception at run slice level
% 0.22/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.38 % (3425)WARNING: value z3 for option sas not known
% 0.22/0.38 % (3426)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.38 % (3424)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.38 % (3425)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)
% 0.22/0.38 % (3427)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)
% 0.22/0.38 % (3428)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)
% 0.22/0.38 % (3429)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)
% 0.22/0.38 % (3429)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.22/0.38 % (3430)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.22/0.38 % Exception at run slice level% Exception at run slice level
% 0.22/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.38
% 0.22/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.39 % (3430)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.22/0.39 % Exception at run slice level
% 0.22/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.40 % (3434)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)
% 0.22/0.40 % (3433)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)
% 0.22/0.40 % (3432)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)
% 0.22/0.41 % (3432)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 19.94/3.21 % (3428)First to succeed.
% 19.94/3.22 % (3428)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3422"
% 19.94/3.22 % (3428)Refutation found. Thanks to Tanya!
% 19.94/3.22 % SZS status Theorem for theBenchmark
% 19.94/3.22 % SZS output start Proof for theBenchmark
% See solution above
% 19.94/3.22 % (3428)------------------------------
% 19.94/3.22 % (3428)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 19.94/3.22 % (3428)Termination reason: Refutation
% 19.94/3.22
% 19.94/3.22 % (3428)Memory used [KB]: 19812
% 19.94/3.22 % (3428)Time elapsed: 2.840 s
% 19.94/3.22 % (3428)Instructions burned: 6323 (million)
% 19.94/3.22 % (3422)Success in time 2.853 s
%------------------------------------------------------------------------------