%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP106^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:10:43 AM UTC 2026
% Result : Theorem 16.18s 2.63s
% Output : Refutation 16.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 89 ( 25 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 547 ( 17 ~; 9 |; 0 &; 515 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Number of types : 11 ( 10 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 112 ( 109 usr; 12 con; 0-4 aty)
% Number of variables : 24 ( 0 ^; 24 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
partia1993116613t_unit: $tType ).
thf(type_def_6,type,
partia1833973666xt_a_b: $tType ).
thf(type_def_7,type,
partia96731725t_unit: $tType ).
thf(type_def_8,type,
set_Product_prod_a_a: $tType ).
thf(type_def_9,type,
product_prod_a_a: $tType ).
thf(type_def_10,type,
set_a: $tType ).
thf(type_def_11,type,
nat: $tType ).
thf(type_def_12,type,
int: $tType ).
thf(type_def_13,type,
b: $tType ).
thf(type_def_14,type,
a: $tType ).
thf(type_def_15,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
partia206007992t_unit: partia1993116613t_unit > set_Product_prod_a_a ).
thf(func_def_1,type,
partia1955795460t_unit: partia96731725t_unit > set_a ).
thf(func_def_2,type,
partia1066395285xt_a_b: partia1833973666xt_a_b > set_a ).
thf(func_def_3,type,
units_a_Product_unit: partia96731725t_unit > set_a ).
thf(func_def_4,type,
units_a_ring_ext_a_b: partia1833973666xt_a_b > set_a ).
thf(func_def_5,type,
comm_g1684316527t_unit: partia96731725t_unit > $o ).
thf(func_def_6,type,
comm_g791708116xt_a_b: partia1833973666xt_a_b > $o ).
thf(func_def_7,type,
group_a_Product_unit: partia96731725t_unit > $o ).
thf(func_def_8,type,
group_a_ring_ext_a_b: partia1833973666xt_a_b > $o ).
thf(func_def_9,type,
mult_a_Product_unit: partia96731725t_unit > a > a > a ).
thf(func_def_10,type,
mult_a_ring_ext_a_b: partia1833973666xt_a_b > a > a > a ).
thf(func_def_11,type,
one_a_Product_unit: partia96731725t_unit > a ).
thf(func_def_12,type,
one_a_ring_ext_a_b: partia1833973666xt_a_b > a ).
thf(func_def_13,type,
units_873712258t_unit: partia96731725t_unit > partia96731725t_unit ).
thf(func_def_14,type,
units_1411277569xt_a_b: partia1833973666xt_a_b > partia96731725t_unit ).
thf(func_def_15,type,
minus_minus_int: int > int > int ).
thf(func_def_16,type,
minus_minus_nat: nat > nat > nat ).
thf(func_def_17,type,
plus_plus_int: int > int > int ).
thf(func_def_18,type,
plus_plus_nat: nat > nat > nat ).
thf(func_def_19,type,
uminus_uminus_int: int > int ).
thf(func_def_20,type,
suc: nat > nat ).
thf(func_def_21,type,
semiri2019852685at_int: nat > int ).
thf(func_def_22,type,
semiri1382578993at_nat: nat > nat ).
thf(func_def_23,type,
product_Pair_a_a: a > a > product_prod_a_a ).
thf(func_def_24,type,
a_inv_a_b: partia1833973666xt_a_b > a > a ).
thf(func_def_25,type,
a_minus_a_b: partia1833973666xt_a_b > a > a > a ).
thf(func_def_26,type,
abelian_group_a_b: partia1833973666xt_a_b > $o ).
thf(func_def_27,type,
add_pow_a_b_int: partia1833973666xt_a_b > int > a > a ).
thf(func_def_28,type,
add_pow_a_b_nat: partia1833973666xt_a_b > nat > a > a ).
thf(func_def_29,type,
field_a_b: partia1833973666xt_a_b > $o ).
thf(func_def_30,type,
add_a_b: partia1833973666xt_a_b > a > a > a ).
thf(func_def_31,type,
more_a_b: partia1833973666xt_a_b > b ).
thf(func_def_32,type,
zero_a_b: partia1833973666xt_a_b > a ).
thf(func_def_33,type,
semiring_a_b: partia1833973666xt_a_b > $o ).
thf(func_def_34,type,
collec645855634od_a_a: ( product_prod_a_a > $o ) > set_Product_prod_a_a ).
thf(func_def_35,type,
collect_a: ( a > $o ) > set_a ).
thf(func_def_36,type,
member449909584od_a_a: product_prod_a_a > set_Product_prod_a_a > $o ).
thf(func_def_37,type,
member_a: a > set_a > $o ).
thf(func_def_38,type,
r: partia1833973666xt_a_b ).
thf(func_def_39,type,
r2: a ).
thf(func_def_40,type,
r3: a ).
thf(func_def_41,type,
r4: a ).
thf(func_def_42,type,
rel: partia1993116613t_unit ).
thf(func_def_43,type,
s: a ).
thf(func_def_44,type,
s2: a ).
thf(func_def_45,type,
s3: a ).
thf(func_def_49,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_50,type,
vAND: $o > $o > $o ).
thf(func_def_51,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_52,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_53,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_54,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_55,type,
sP0: partia1833973666xt_a_b > $o ).
thf(func_def_56,type,
sP1: partia1833973666xt_a_b > $o ).
thf(func_def_57,type,
sP2: partia1833973666xt_a_b > $o ).
thf(func_def_58,type,
sP3: partia96731725t_unit > $o ).
thf(func_def_59,type,
sP4: partia96731725t_unit > $o ).
thf(func_def_60,type,
sP5: partia1833973666xt_a_b > $o ).
thf(func_def_61,type,
sP6: partia1833973666xt_a_b > $o ).
thf(func_def_62,type,
sK7: a > a ).
thf(func_def_63,type,
sK8: a > a ).
thf(func_def_64,type,
sK9: a > a ).
thf(func_def_65,type,
sK10: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_66,type,
sK11: ( product_prod_a_a > $o ) > ( product_prod_a_a > $o ) > product_prod_a_a ).
thf(func_def_67,type,
sK12: ( product_prod_a_a > $o ) > a ).
thf(func_def_68,type,
sK13: ( product_prod_a_a > $o ) > a ).
thf(func_def_69,type,
sK14: product_prod_a_a > a ).
thf(func_def_70,type,
sK15: product_prod_a_a > a ).
thf(func_def_71,type,
sK16: ( product_prod_a_a > $o ) > a ).
thf(func_def_72,type,
sK17: ( product_prod_a_a > $o ) > a ).
thf(func_def_73,type,
sK18: product_prod_a_a > a ).
thf(func_def_74,type,
sK19: product_prod_a_a > a ).
thf(func_def_75,type,
sK20: a > a ).
thf(func_def_76,type,
sK21: a ).
thf(func_def_77,type,
sK22: partia1833973666xt_a_b > a ).
thf(func_def_78,type,
sK23: partia1833973666xt_a_b > a ).
thf(func_def_79,type,
sK24: partia1833973666xt_a_b > a ).
thf(func_def_80,type,
sK25: partia1833973666xt_a_b > a ).
thf(func_def_81,type,
sK26: partia1833973666xt_a_b > a ).
thf(func_def_82,type,
sK27: partia1833973666xt_a_b > a ).
thf(func_def_83,type,
sK28: partia1833973666xt_a_b > a ).
thf(func_def_84,type,
sK29: partia1833973666xt_a_b > a ).
thf(func_def_85,type,
sK30: partia1833973666xt_a_b > a ).
thf(func_def_86,type,
sK31: a > partia1833973666xt_a_b > a ).
thf(func_def_87,type,
sK32: ( nat > $o ) > nat ).
thf(func_def_88,type,
sK33: a > a ).
thf(func_def_89,type,
sK34: a > a ).
thf(func_def_90,type,
sK35: a ).
thf(func_def_91,type,
sK36: partia96731725t_unit > a ).
thf(func_def_92,type,
sK37: partia96731725t_unit > a ).
thf(func_def_93,type,
sK38: partia96731725t_unit > a ).
thf(func_def_94,type,
sK39: partia96731725t_unit > a ).
thf(func_def_95,type,
sK40: partia96731725t_unit > a ).
thf(func_def_96,type,
sK41: partia96731725t_unit > a ).
thf(func_def_97,type,
sK42: partia96731725t_unit > a ).
thf(func_def_98,type,
sK43: partia1833973666xt_a_b > a ).
thf(func_def_99,type,
sK44: partia1833973666xt_a_b > a ).
thf(func_def_100,type,
sK45: partia1833973666xt_a_b > a ).
thf(func_def_101,type,
sK46: partia1833973666xt_a_b > a ).
thf(func_def_102,type,
sK47: partia1833973666xt_a_b > a ).
thf(func_def_103,type,
sK48: partia1833973666xt_a_b > a ).
thf(func_def_104,type,
sK49: partia1833973666xt_a_b > a ).
thf(func_def_105,type,
sK50: a > partia96731725t_unit > a ).
thf(func_def_106,type,
sK51: a > partia1833973666xt_a_b > a ).
thf(func_def_107,type,
sK52: a > partia96731725t_unit > a ).
thf(func_def_108,type,
sK53: a > partia1833973666xt_a_b > a ).
thf(func_def_109,type,
vNOT: $o > $o ).
thf(func_def_111,type,
sK55: partia1833973666xt_a_b > partia1833973666xt_a_b > a ).
thf(f5,axiom,
! [X0: a,X1: a,X2: a,X3: a] :
( ( member449909584od_a_a @ ( product_Pair_a_a @ X0 @ X1 ) @ ( partia206007992t_unit @ rel ) )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ X3 ) @ ( partia206007992t_unit @ rel ) )
=> ( member449909584od_a_a @ ( product_Pair_a_a @ ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ X3 @ X0 ) @ ( mult_a_ring_ext_a_b @ r @ X1 @ X2 ) ) @ ( mult_a_ring_ext_a_b @ r @ X1 @ X3 ) ) @ ( partia206007992t_unit @ rel ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_closed__rel__add) ).
thf(f11,axiom,
member449909584od_a_a @ ( product_Pair_a_a @ ( mult_a_ring_ext_a_b @ r @ r3 @ r4 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) ) @ ( partia206007992t_unit @ rel ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10_f5) ).
thf(f12,axiom,
member449909584od_a_a @ ( product_Pair_a_a @ ( mult_a_ring_ext_a_b @ r @ r2 @ r4 ) @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) ) @ ( partia206007992t_unit @ rel ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_11_f4) ).
thf(f283,conjecture,
member449909584od_a_a @ ( product_Pair_a_a @ ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ r2 @ r4 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ r3 @ r4 ) ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) ) ) @ ( partia206007992t_unit @ rel ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f284,negated_conjecture,
~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ r2 @ r4 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ r3 @ r4 ) ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) ) ) @ ( partia206007992t_unit @ rel ) ),
inference(negated_conjecture,[status(cth)],[f283]) ).
thf(f291,plain,
! [X0: a,X1: a,X2: a,X3: a] :
( ( member449909584od_a_a @ ( product_Pair_a_a @ X0 @ X1 ) @ ( partia206007992t_unit @ rel ) )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ X3 ) @ ( partia206007992t_unit @ rel ) )
=> ( member449909584od_a_a @ ( product_Pair_a_a @ ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ X3 @ X0 ) @ ( mult_a_ring_ext_a_b @ r @ X1 @ X2 ) ) @ ( mult_a_ring_ext_a_b @ r @ X1 @ X3 ) ) @ ( partia206007992t_unit @ rel ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f292,plain,
! [X0: a,X1: a,X2: a,X3: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ X0 @ X1 ) @ ( partia206007992t_unit @ rel ) )
= $true )
=> ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ X3 ) @ ( partia206007992t_unit @ rel ) )
= $true )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ X3 @ X0 ) @ ( mult_a_ring_ext_a_b @ r @ X1 @ X2 ) ) @ ( mult_a_ring_ext_a_b @ r @ X1 @ X3 ) ) @ ( partia206007992t_unit @ rel ) )
= $true ) ) ),
inference(fool_elimination,[],[f291]) ).
thf(f293,plain,
member449909584od_a_a @ ( product_Pair_a_a @ ( mult_a_ring_ext_a_b @ r @ r3 @ r4 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) ) @ ( partia206007992t_unit @ rel ),
inference(rectify,[],[f11]) ).
thf(f294,plain,
( ( member449909584od_a_a @ ( product_Pair_a_a @ ( mult_a_ring_ext_a_b @ r @ r3 @ r4 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) ) @ ( partia206007992t_unit @ rel ) )
= $true ),
inference(fool_elimination,[],[f293]) ).
thf(f295,plain,
member449909584od_a_a @ ( product_Pair_a_a @ ( mult_a_ring_ext_a_b @ r @ r2 @ r4 ) @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) ) @ ( partia206007992t_unit @ rel ),
inference(rectify,[],[f12]) ).
thf(f296,plain,
( ( member449909584od_a_a @ ( product_Pair_a_a @ ( mult_a_ring_ext_a_b @ r @ r2 @ r4 ) @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) ) @ ( partia206007992t_unit @ rel ) )
= $true ),
inference(fool_elimination,[],[f295]) ).
thf(f643,plain,
~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ r2 @ r4 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ r3 @ r4 ) ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) ) ) @ ( partia206007992t_unit @ rel ) ),
inference(rectify,[],[f284]) ).
thf(f644,plain,
( ( member449909584od_a_a @ ( product_Pair_a_a @ ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ r2 @ r4 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ r3 @ r4 ) ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) ) ) @ ( partia206007992t_unit @ rel ) )
!= $true ),
inference(fool_elimination,[],[f643]) ).
thf(f645,plain,
( ( member449909584od_a_a @ ( product_Pair_a_a @ ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ r2 @ r4 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ r3 @ r4 ) ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) ) ) @ ( partia206007992t_unit @ rel ) )
!= $true ),
inference(flattening,[],[f644]) ).
thf(f647,plain,
! [X0: a,X1: a,X2: a,X3: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ X3 @ X0 ) @ ( mult_a_ring_ext_a_b @ r @ X1 @ X2 ) ) @ ( mult_a_ring_ext_a_b @ r @ X1 @ X3 ) ) @ ( partia206007992t_unit @ rel ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ X3 ) @ ( partia206007992t_unit @ rel ) )
!= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ X0 @ X1 ) @ ( partia206007992t_unit @ rel ) )
!= $true ) ),
inference(ennf_transformation,[],[f292]) ).
thf(f648,plain,
! [X0: a,X1: a,X2: a,X3: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ X3 @ X0 ) @ ( mult_a_ring_ext_a_b @ r @ X1 @ X2 ) ) @ ( mult_a_ring_ext_a_b @ r @ X1 @ X3 ) ) @ ( partia206007992t_unit @ rel ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ X3 ) @ ( partia206007992t_unit @ rel ) )
!= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ X0 @ X1 ) @ ( partia206007992t_unit @ rel ) )
!= $true ) ),
inference(flattening,[],[f647]) ).
thf(f999,plain,
! [X2: a,X3: a,X0: a,X1: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ X3 @ X0 ) @ ( mult_a_ring_ext_a_b @ r @ X1 @ X2 ) ) @ ( mult_a_ring_ext_a_b @ r @ X1 @ X3 ) ) @ ( partia206007992t_unit @ rel ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ X3 ) @ ( partia206007992t_unit @ rel ) )
!= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ X0 @ X1 ) @ ( partia206007992t_unit @ rel ) )
!= $true ) ),
inference(cnf_transformation,[],[f648]) ).
thf(f1005,plain,
( ( member449909584od_a_a @ ( product_Pair_a_a @ ( mult_a_ring_ext_a_b @ r @ r3 @ r4 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) ) @ ( partia206007992t_unit @ rel ) )
= $true ),
inference(cnf_transformation,[],[f294]) ).
thf(f1006,plain,
( ( member449909584od_a_a @ ( product_Pair_a_a @ ( mult_a_ring_ext_a_b @ r @ r2 @ r4 ) @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) ) @ ( partia206007992t_unit @ rel ) )
= $true ),
inference(cnf_transformation,[],[f296]) ).
thf(f1326,plain,
( ( member449909584od_a_a @ ( product_Pair_a_a @ ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ r2 @ r4 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ r3 @ r4 ) ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) ) ) @ ( partia206007992t_unit @ rel ) )
!= $true ),
inference(cnf_transformation,[],[f645]) ).
thf(f18417,plain,
( ( $true != $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( mult_a_ring_ext_a_b @ r @ r3 @ r4 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) ) @ ( partia206007992t_unit @ rel ) )
!= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( mult_a_ring_ext_a_b @ r @ r2 @ r4 ) @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) ) @ ( partia206007992t_unit @ rel ) )
!= $true ) ),
inference(constrained_superposition,[],[f1326,f999]) ).
thf(f18430,plain,
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( mult_a_ring_ext_a_b @ r @ r3 @ r4 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) ) @ ( partia206007992t_unit @ rel ) )
!= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( mult_a_ring_ext_a_b @ r @ r2 @ r4 ) @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) ) @ ( partia206007992t_unit @ rel ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f18417]) ).
thf(f18431,plain,
( ( member449909584od_a_a @ ( product_Pair_a_a @ ( mult_a_ring_ext_a_b @ r @ r2 @ r4 ) @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) ) @ ( partia206007992t_unit @ rel ) )
!= $true ),
inference(forward_subsumption_resolution,[],[f18430,f1005]) ).
thf(f18489,plain,
$false,
inference(forward_subsumption_resolution,[],[f18431,f1006]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ITP106^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.24 % Computer : n008.cluster.edu
% 0.12/0.24 % Model : x86_64 x86_64
% 0.12/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.24 % Memory : 8046.5625MB
% 0.12/0.24 % OS : Linux 6.8.0-71-generic
% 0.12/0.24 % CPULimit : 300
% 0.12/0.24 % WCLimit : 300
% 0.12/0.24 % DateTime : Tue Sep 29 19:55:39 UTC 2026
% 0.12/0.25 % CPUTime :
% 0.12/0.25 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.28 Running first-order model finding
% 0.12/0.28 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.22/1.05 % (3652554)Will run a generic schedule for satisfiability detection.
% 5.22/1.05 % (3652565)% WARNING: option uhcvi not known.
% 5.22/1.05 % (3652565)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=224026871:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.22/1.05 % (3652566)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=276138897:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.22/1.05 % (3652564)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=54713076_2999 on theBenchmark for (2999ds/0Mi)
% 5.22/1.05 % (3652568)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3012593742:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.22/1.05 % (3652567)dis+10_1_sil=32000:sp=arity:random_seed=1010413547:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.22/1.05 % (3652569)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4105559776:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.22/1.05 % (3652570)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1177621625:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.22/1.05 % (3652565)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.22/1.05 % (3652565)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.22/1.05 % (3652568)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.22/1.05 % Exception at run slice level
% 5.22/1.05 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.22/1.05 % (3652567)Instruction limit reached!
% 5.22/1.05 % (3652567)------------------------------
% 5.22/1.05 % (3652567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.22/1.05 % (3652567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.05 % (3652567)CaDiCaL version: 2.1.3
% 5.22/1.05 % (3652567)Termination reason: Instruction limit
% 5.22/1.05 % (3652567)Termination phase: Saturation
% 5.22/1.05 % (3652567)Time elapsed: 0.041 s
% 5.22/1.05 % (3652567)Peak memory usage: 12 MB
% 5.22/1.05 % (3652567)Instructions burned: 103 (million)
% 5.22/1.05 % (3652568)Instruction limit reached!
% 5.22/1.05 % (3652568)------------------------------
% 5.22/1.05 % (3652568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.22/1.05 % (3652568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.05 % (3652568)CaDiCaL version: 2.1.3
% 5.22/1.05 % (3652568)Termination reason: Instruction limit
% 5.22/1.05 % (3652568)Termination phase: Saturation
% 5.22/1.05 % (3652568)Time elapsed: 0.048 s
% 5.22/1.05 % (3652568)Peak memory usage: 12 MB
% 5.22/1.05 % (3652568)Instructions burned: 117 (million)
% 5.22/1.05 % (3652569)Instruction limit reached!
% 5.22/1.05 % (3652569)------------------------------
% 5.22/1.05 % (3652569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.22/1.05 % (3652569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.05 % (3652569)CaDiCaL version: 2.1.3
% 5.22/1.05 % (3652569)Termination reason: Instruction limit
% 5.22/1.05 % (3652569)Termination phase: Saturation
% 5.22/1.05 % (3652569)Time elapsed: 0.054 s
% 5.22/1.05 % (3652569)Peak memory usage: 13 MB
% 5.22/1.05 % (3652569)Instructions burned: 131 (million)
% 5.22/1.05 % (3652603)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1557033266:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 5.22/1.05 % (3652605)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1923442579:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 5.22/1.05 % (3652611)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3276822530:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 5.22/1.05 % (3652570)Instruction limit reached!
% 5.22/1.05 % (3652570)------------------------------
% 5.22/1.05 % (3652570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.22/1.05 % (3652570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.05 % (3652570)CaDiCaL version: 2.1.3
% 5.22/1.05 % (3652570)Termination reason: Instruction limit
% 5.22/1.05 % (3652570)Termination phase: Saturation
% 5.22/1.05 % (3652570)Time elapsed: 0.070 s
% 5.22/1.05 % (3652570)Peak memory usage: 13 MB
% 5.22/1.05 % (3652570)Instructions burned: 160 (million)
% 16.18/2.63 % (3652615)ott-21_1_sil=16000:fs=off:random_seed=3174062984:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 16.18/2.63 % (3652611)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 16.18/2.63 % (3652622)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=474703682:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 16.18/2.63 % Exception at run slice level
% 16.18/2.63 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.18/2.63 % (3652611)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 16.18/2.63 % (3652605)Instruction limit reached!
% 16.18/2.63 % (3652605)------------------------------
% 16.18/2.63 % (3652605)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.18/2.63 % (3652605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.18/2.63 % (3652605)CaDiCaL version: 2.1.3
% 16.18/2.63 % (3652605)Termination reason: Instruction limit
% 16.18/2.63 % (3652605)Termination phase: Saturation
% 16.18/2.63 % (3652605)Time elapsed: 0.055 s
% 16.18/2.63 % (3652605)Peak memory usage: 13 MB
% 16.18/2.63 % (3652605)Instructions burned: 131 (million)
% 16.18/2.63 % (3652638)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1951149090:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 16.18/2.63 % (3652648)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3370340464:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 16.18/2.63 % (3652615)Instruction limit reached!
% 16.18/2.63 % (3652615)------------------------------
% 16.18/2.63 % (3652615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.18/2.63 % (3652615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.18/2.63 % (3652615)CaDiCaL version: 2.1.3
% 16.18/2.63 % (3652615)Termination reason: Instruction limit
% 16.18/2.63 % (3652615)Termination phase: Saturation
% 16.18/2.63 % (3652615)Time elapsed: 0.077 s
% 16.18/2.63 % (3652615)Peak memory usage: 13 MB
% 16.18/2.63 % (3652615)Instructions burned: 181 (million)
% 16.18/2.63 % Exception at run slice level
% 16.18/2.63 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.18/2.63 % (3652660)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=861921089:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 16.18/2.63 % (3652664)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=540899879:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 16.18/2.63 % (3652664)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 16.18/2.63 % Exception at run slice level
% 16.18/2.63 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.18/2.63 % (3652685)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1942692974:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 16.18/2.63 % (3652685)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 16.18/2.63 % (3652622)Instruction limit reached!
% 16.18/2.63 % (3652622)------------------------------
% 16.18/2.63 % (3652622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.18/2.63 % (3652622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.18/2.63 % (3652622)CaDiCaL version: 2.1.3
% 16.18/2.63 % (3652622)Termination reason: Instruction limit
% 16.18/2.63 % (3652622)Termination phase: Saturation
% 16.18/2.63 % (3652622)Time elapsed: 0.241 s
% 16.18/2.63 % (3652622)Peak memory usage: 14 MB
% 16.18/2.63 % (3652622)Instructions burned: 478 (million)
% 16.18/2.63 % (3652611)Instruction limit reached!
% 16.18/2.63 % (3652611)------------------------------
% 16.18/2.63 % (3652611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.18/2.63 % (3652611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.18/2.63 % (3652611)CaDiCaL version: 2.1.3
% 16.18/2.63 % (3652611)Termination reason: Instruction limit
% 16.18/2.63 % (3652611)Termination phase: Saturation
% 16.18/2.63 % (3652611)Time elapsed: 0.275 s
% 16.18/2.63 % (3652611)Peak memory usage: 14 MB
% 16.18/2.63 % (3652611)Instructions burned: 687 (million)
% 16.18/2.63 % (3652740)fmb+10_1_sil=64000:random_seed=2084102559:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 16.18/2.63 % (3652743)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4267614389:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 16.18/2.63 % (3652740)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 16.18/2.63 % Exception at run slice level
% 16.18/2.63 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.18/2.63 % Exception at run slice level
% 16.18/2.63 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.18/2.63 % (3652749)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2473017644:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 16.18/2.63 % (3652750)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1507995968:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 16.18/2.63 % (3652750)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 16.18/2.63 % Exception at run slice level
% 16.18/2.63 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.18/2.63 % (3652664)Instruction limit reached!
% 16.18/2.63 % (3652664)------------------------------
% 16.18/2.63 % (3652664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.18/2.63 % (3652664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.18/2.63 % (3652664)CaDiCaL version: 2.1.3
% 16.18/2.63 % (3652664)Termination reason: Instruction limit
% 16.18/2.63 % (3652664)Termination phase: Saturation
% 16.18/2.63 % (3652664)Time elapsed: 0.290 s
% 16.18/2.63 % (3652664)Peak memory usage: 16 MB
% 16.18/2.63 % (3652664)Instructions burned: 693 (million)
% 16.18/2.63 % (3652753)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2986402936:i=1472:ins=7:fdi=8:gsp=on_2994 on theBenchmark for (2994ds/1472Mi)
% 16.18/2.63 % (3652754)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3318588145:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 16.18/2.63 % (3652753)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 16.18/2.63 % (3652753)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 16.18/2.63 % Exception at run slice level
% 16.18/2.63 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.18/2.63 % (3652757)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2036466030:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 16.18/2.63 % Exception at run slice level
% 16.18/2.63 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.18/2.63 % (3652759)ott-2_1_sil=16000:newcnf=on:random_seed=3543940153:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2993 on theBenchmark for (2993ds/869Mi)
% 16.18/2.63 % (3652759)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 16.18/2.63 % (3652685)Instruction limit reached!
% 16.18/2.63 % (3652685)------------------------------
% 16.18/2.63 % (3652685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.18/2.63 % (3652685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.18/2.63 % (3652685)CaDiCaL version: 2.1.3
% 16.18/2.63 % (3652685)Termination reason: Instruction limit
% 16.18/2.63 % (3652685)Termination phase: Saturation
% 16.18/2.63 % (3652685)Time elapsed: 0.409 s
% 16.18/2.63 % (3652685)Peak memory usage: 16 MB
% 16.18/2.63 % (3652685)Instructions burned: 881 (million)
% 16.18/2.63 % (3652648)Instruction limit reached!
% 16.18/2.63 % (3652648)------------------------------
% 16.18/2.63 % (3652648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.18/2.63 % (3652648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.18/2.63 % (3652648)CaDiCaL version: 2.1.3
% 16.18/2.63 % (3652648)Termination reason: Instruction limit
% 16.18/2.63 % (3652648)Termination phase: Saturation
% 16.18/2.63 % (3652648)Time elapsed: 0.513 s
% 16.18/2.63 % (3652648)Peak memory usage: 17 MB
% 16.18/2.63 % (3652648)Instructions burned: 1180 (million)
% 16.18/2.63 % (3652761)ott+10_1_sil=32000:tgt=ground:random_seed=298044404:i=5114:av=off_2993 on theBenchmark for (2993ds/5114Mi)
% 16.18/2.63 % (3652762)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3328267278:i=54282_2992 on theBenchmark for (2992ds/54282Mi)
% 16.18/2.63 % Exception at run slice level
% 16.18/2.63 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.18/2.63 % (3652765)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2560749525:i=3512:aac=none_2992 on theBenchmark for (2992ds/3512Mi)
% 16.18/2.63 % (3652765)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 16.18/2.63 % (3652759)Instruction limit reached!
% 16.18/2.63 % (3652759)------------------------------
% 16.18/2.63 % (3652759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.18/2.63 % (3652759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.18/2.63 % (3652759)CaDiCaL version: 2.1.3
% 16.18/2.63 % (3652759)Termination reason: Instruction limit
% 16.18/2.63 % (3652759)Termination phase: Saturation
% 16.18/2.63 % (3652759)Time elapsed: 0.373 s
% 16.18/2.63 % (3652759)Peak memory usage: 16 MB
% 16.18/2.63 % (3652759)Instructions burned: 870 (million)
% 16.18/2.63 % (3652767)dis+21_1_sil=32000:sas=cadical:random_seed=4230104819:i=3773:amm=off_2989 on theBenchmark for (2989ds/3773Mi)
% 16.18/2.63 % (3652753)Instruction limit reached!
% 16.18/2.63 % (3652753)------------------------------
% 16.18/2.63 % (3652753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.18/2.63 % (3652753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.18/2.63 % (3652753)CaDiCaL version: 2.1.3
% 16.18/2.63 % (3652753)Termination reason: Instruction limit
% 16.18/2.63 % (3652753)Termination phase: Saturation
% 16.18/2.63 % (3652753)Time elapsed: 0.619 s
% 16.18/2.63 % (3652753)Peak memory usage: 17 MB
% 16.18/2.63 % (3652753)Instructions burned: 1473 (million)
% 16.18/2.63 % (3652769)ott+11_1_sil=16000:gs=on:random_seed=3187926571:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2988 on theBenchmark for (2988ds/2251Mi)
% 16.18/2.63 % (3652769)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 16.18/2.63 % (3652769)Instruction limit reached!
% 16.18/2.63 % (3652769)------------------------------
% 16.18/2.63 % (3652769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.18/2.63 % (3652769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.18/2.63 % (3652769)CaDiCaL version: 2.1.3
% 16.18/2.63 % (3652769)Termination reason: Instruction limit
% 16.18/2.63 % (3652769)Termination phase: Saturation
% 16.18/2.63 % (3652769)Time elapsed: 0.914 s
% 16.18/2.63 % (3652769)Peak memory usage: 16 MB
% 16.18/2.63 % (3652769)Instructions burned: 2251 (million)
% 16.18/2.63 % (3652771)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=3437993972:fmbsr=1.6:i=67534_2979 on theBenchmark for (2979ds/67534Mi)
% 16.18/2.63 % Exception at run slice level
% 16.18/2.63 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.18/2.63 % (3652773)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=1388409189:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2978 on theBenchmark for (2978ds/4591Mi)
% 16.18/2.63 % (3652765)Instruction limit reached!
% 16.18/2.63 % (3652765)------------------------------
% 16.18/2.63 % (3652765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.18/2.63 % (3652765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.18/2.63 % (3652765)CaDiCaL version: 2.1.3
% 16.18/2.63 % (3652765)Termination reason: Instruction limit
% 16.18/2.63 % (3652765)Termination phase: Saturation
% 16.18/2.63 % (3652765)Time elapsed: 1.542 s
% 16.18/2.63 % (3652765)Peak memory usage: 21 MB
% 16.18/2.63 % (3652765)Instructions burned: 3512 (million)
% 16.18/2.63 % (3652767) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3652554-3652767"...
% 16.18/2.63 % (3652767)...printing done.
% 16.18/2.63 % (3652767)Refutation found. Thanks to Tanya!
% 16.18/2.63 % SZS status Theorem for theBenchmark
% 16.18/2.63 % SZS output start Proof for theBenchmark
% See solution above
% 16.18/2.63 % (3652767)------------------------------
% 16.18/2.63 % (3652767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.18/2.63 % (3652767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.18/2.63 % (3652767)CaDiCaL version: 2.1.3
% 16.18/2.63 % (3652767)Termination reason: Refutation
% 16.18/2.63 % (3652767)Time elapsed: 1.275 s
% 16.18/2.63 % (3652767)Peak memory usage: 19 MB
% 16.18/2.63 % (3652767)Instructions burned: 2830 (million)
% 16.18/2.63 % (3652554)Success in time 2.341 s
% 16.18/2.63 % Vampire exiting
%------------------------------------------------------------------------------