TSTP Solution File: ITP107^2 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ITP107^2 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n009.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 : Mon May 20 22:51:57 EDT 2024
% Result : Theorem 1.22s 0.56s
% Output : Refutation 1.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 192
% Syntax : Number of formulae : 203 ( 16 unt; 187 typ; 0 def)
% Number of atoms : 357 ( 15 equ; 0 cnn)
% Maximal formula atoms : 1 ( 22 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 279 ( 268 >; 11 *; 0 +; 0 <<)
% Number of symbols : 177 ( 175 usr; 11 con; 0-8 aty)
% Number of variables : 448 ( 0 ^ 0 !; 0 ?; 448 :)
% ( 448 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
ring_ext: ( $tType * $tType ) > $tType ).
thf(type_def_6,type,
monoid_ext: ( $tType * $tType ) > $tType ).
thf(type_def_7,type,
partia1265057091ct_ext: ( $tType * $tType ) > $tType ).
thf(type_def_8,type,
set: $tType > $tType ).
thf(type_def_9,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_10,type,
eq_eq_object_ext: ( $tType * $tType ) > $tType ).
thf(type_def_11,type,
product_unit: $tType ).
thf(type_def_12,type,
product_prod: ( $tType * $tType ) > $tType ).
thf(type_def_13,type,
a: $tType ).
thf(type_def_14,type,
b: $tType ).
thf(type_def_15,type,
int: $tType ).
thf(type_def_16,type,
nat: $tType ).
thf(func_def_0,type,
partia1265057091ct_ext: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
eq_eq_object_ext: ( $tType * $tType ) > $tType ).
thf(func_def_2,type,
monoid_ext: ( $tType * $tType ) > $tType ).
thf(func_def_3,type,
ring_ext: ( $tType * $tType ) > $tType ).
thf(func_def_4,type,
product_unit: $tType ).
thf(func_def_5,type,
product_prod: ( $tType * $tType ) > $tType ).
thf(func_def_6,type,
set: $tType > $tType ).
thf(func_def_7,type,
nat: $tType ).
thf(func_def_8,type,
int: $tType ).
thf(func_def_9,type,
b: $tType ).
thf(func_def_10,type,
a: $tType ).
thf(func_def_11,type,
a_RCOSETS:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X0,monoid_ext(X0,ring_ext(X0,X1))) > set(X0) > set(set(X0)) ) ).
thf(func_def_12,type,
a_l_coset:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X0,monoid_ext(X0,ring_ext(X0,X1))) > X0 > set(X0) > set(X0) ) ).
thf(func_def_13,type,
a_r_coset:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X0,monoid_ext(X0,ring_ext(X0,X1))) > set(X0) > X0 > set(X0) ) ).
thf(func_def_14,type,
additive_subgroup:
!>[X0: $tType,X1: $tType] : ( set(X0) > partia1265057091ct_ext(X0,monoid_ext(X0,ring_ext(X0,X1))) > $o ) ).
thf(func_def_15,type,
set_add:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X0,monoid_ext(X0,ring_ext(X0,X1))) > set(X0) > set(X0) > set(X0) ) ).
thf(func_def_16,type,
equivalence:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X0,eq_eq_object_ext(X0,X1)) > $o ) ).
thf(func_def_17,type,
partial_carrier:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X0,X1) > set(X0) ) ).
thf(func_def_18,type,
units:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X0,monoid_ext(X0,X1)) > set(X0) ) ).
thf(func_def_19,type,
group:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X0,monoid_ext(X0,X1)) > $o ) ).
thf(func_def_20,type,
monoid:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X0,monoid_ext(X0,X1)) > $o ) ).
thf(func_def_21,type,
mult:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X0,monoid_ext(X0,X1)) > X0 > X0 > X0 ) ).
thf(func_def_22,type,
one:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X0,monoid_ext(X0,X1)) > X0 ) ).
thf(func_def_23,type,
units_of:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X0,monoid_ext(X0,X1)) > partia1265057091ct_ext(X0,monoid_ext(X0,product_unit)) ) ).
thf(func_def_24,type,
minus_minus:
!>[X0: $tType] : ( X0 > X0 > X0 ) ).
thf(func_def_25,type,
locali1641774487f_frac:
!>[X0: $tType,X1: $tType,X2: $tType] : ( partia1265057091ct_ext(product_prod(X0,X1),eq_eq_object_ext(product_prod(X0,X1),X2)) > X0 > X1 > set(product_prod(X0,X1)) ) ).
thf(func_def_26,type,
locali1648044335f_frac:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X0,monoid_ext(X0,ring_ext(X0,X1))) > set(X0) > $o ) ).
thf(func_def_27,type,
locali1768110497f_frac:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X0,monoid_ext(X0,ring_ext(X0,X1))) > set(X0) > partia1265057091ct_ext(set(product_prod(X0,X0)),monoid_ext(set(product_prod(X0,X0)),product_unit)) ) ).
thf(func_def_28,type,
locali7914339f_crng:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X0,monoid_ext(X0,ring_ext(X0,X1))) > set(X0) > $o ) ).
thf(func_def_29,type,
locali1402578320of_rng:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X0,monoid_ext(X0,ring_ext(X0,X1))) > set(X0) > $o ) ).
thf(func_def_30,type,
locali990921413f_frac:
!>[X0: $tType,X1: $tType,X2: $tType] : ( partia1265057091ct_ext(product_prod(X0,X1),eq_eq_object_ext(product_prod(X0,X1),X2)) > set(set(product_prod(X0,X1))) ) ).
thf(func_def_31,type,
locali1441642228monoid:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X0,monoid_ext(X0,X1)) > set(X0) > $o ) ).
thf(func_def_32,type,
bot_bot:
!>[X0: $tType] : X0 ).
thf(func_def_33,type,
ord_less_eq:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_34,type,
product_Pair:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > product_prod(X0,X1) ) ).
thf(func_def_35,type,
product_rec_prod:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > product_prod(X0,X1) > X2 ) ).
thf(func_def_36,type,
abelian_monoid:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X0,monoid_ext(X0,ring_ext(X0,X1))) > $o ) ).
thf(func_def_37,type,
add_pow:
!>[X0: $tType,X1: $tType,X2: $tType] : ( partia1265057091ct_ext(X0,monoid_ext(X0,ring_ext(X0,X1))) > X2 > X0 > X0 ) ).
thf(func_def_38,type,
field:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X0,monoid_ext(X0,ring_ext(X0,X1))) > $o ) ).
thf(func_def_39,type,
ring:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X0,monoid_ext(X0,ring_ext(X0,X1))) > $o ) ).
thf(func_def_40,type,
zero:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X0,monoid_ext(X0,ring_ext(X0,X1))) > X0 ) ).
thf(func_def_41,type,
semiring:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X0,monoid_ext(X0,ring_ext(X0,X1))) > $o ) ).
thf(func_def_42,type,
collect:
!>[X0: $tType] : ( ( X0 > $o ) > set(X0) ) ).
thf(func_def_43,type,
pow:
!>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).
thf(func_def_44,type,
insert:
!>[X0: $tType] : ( X0 > set(X0) > set(X0) ) ).
thf(func_def_45,type,
member:
!>[X0: $tType] : ( X0 > set(X0) > $o ) ).
thf(func_def_46,type,
r: partia1265057091ct_ext(a,monoid_ext(a,ring_ext(a,b))) ).
thf(func_def_47,type,
s: set(a) ).
thf(func_def_48,type,
r2: a ).
thf(func_def_49,type,
r3: a ).
thf(func_def_50,type,
rel: partia1265057091ct_ext(product_prod(a,a),eq_eq_object_ext(product_prod(a,a),product_unit)) ).
thf(func_def_51,type,
s2: a ).
thf(func_def_52,type,
s3: a ).
thf(func_def_56,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_57,type,
vNOT: $o > $o ).
thf(func_def_58,type,
vAND: $o > $o > $o ).
thf(func_def_59,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_60,type,
cCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > X1 > X0 > X2 ) ).
thf(func_def_61,type,
sCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_62,type,
vIMP: $o > $o > $o ).
thf(func_def_63,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_64,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_65,type,
iCOMB:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_66,type,
vOR: $o > $o > $o ).
thf(func_def_67,type,
sP0:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X1,monoid_ext(X1,X0)) > $o ) ).
thf(func_def_68,type,
sP1:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X1,monoid_ext(X1,X0)) > $o ) ).
thf(func_def_69,type,
sP2:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X1,monoid_ext(X1,X0)) > $o ) ).
thf(func_def_70,type,
sP3:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X1,monoid_ext(X1,X0)) > $o ) ).
thf(func_def_71,type,
sP4:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X1,monoid_ext(X1,X0)) > $o ) ).
thf(func_def_72,type,
sP5:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X1,monoid_ext(X1,X0)) > $o ) ).
thf(func_def_73,type,
sK6: a ).
thf(func_def_74,type,
sK7: a ).
thf(func_def_75,type,
sK8: a ).
thf(func_def_76,type,
sK9: a > a ).
thf(func_def_77,type,
sK10: a > a ).
thf(func_def_78,type,
sK11: a > a ).
thf(func_def_79,type,
sK12:
!>[X0: $tType] : ( set(X0) > X0 ) ).
thf(func_def_80,type,
sK13:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_81,type,
sK14:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_82,type,
sK15:
!>[X0: $tType] : ( set(X0) > set(X0) > X0 ) ).
thf(func_def_83,type,
sK16:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X1,monoid_ext(X1,X0)) > X1 ) ).
thf(func_def_84,type,
sK17:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X1,monoid_ext(X1,X0)) > X1 ) ).
thf(func_def_85,type,
sK18:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X1,monoid_ext(X1,X0)) > X1 ) ).
thf(func_def_86,type,
sK19:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X1,monoid_ext(X1,X0)) > X1 ) ).
thf(func_def_87,type,
sK20:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X1,monoid_ext(X1,X0)) > X1 ) ).
thf(func_def_88,type,
sK21:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X1,monoid_ext(X1,X0)) > X1 ) ).
thf(func_def_89,type,
sK22:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X1,monoid_ext(X1,X0)) > X1 ) ).
thf(func_def_90,type,
sK23:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X1,monoid_ext(X1,X0)) > X1 ) ).
thf(func_def_91,type,
sK24:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X1,monoid_ext(X1,X0)) > X1 ) ).
thf(func_def_92,type,
sK25:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X1,monoid_ext(X1,X0)) > X1 ) ).
thf(func_def_93,type,
sK26:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X1,monoid_ext(X1,X0)) > X1 ) ).
thf(func_def_94,type,
sK27:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X1,monoid_ext(X1,X0)) > X1 ) ).
thf(func_def_95,type,
sK28:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X1,monoid_ext(X1,X0)) > X1 ) ).
thf(func_def_96,type,
sK29:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X1,monoid_ext(X1,X0)) > X1 ) ).
thf(func_def_97,type,
sK30:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X1,monoid_ext(X1,X0)) > X1 ) ).
thf(func_def_98,type,
sK31:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X1,monoid_ext(X1,X0)) > X1 ) ).
thf(func_def_99,type,
sK32:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X1,monoid_ext(X1,X0)) > X1 ) ).
thf(func_def_100,type,
sK33:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X1,monoid_ext(X1,X0)) > X1 ) ).
thf(func_def_101,type,
sK34:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X1,monoid_ext(X1,X0)) > X1 ) ).
thf(func_def_102,type,
sK35:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X1,monoid_ext(X1,X0)) > X1 ) ).
thf(func_def_103,type,
sK36:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X1,monoid_ext(X1,X0)) > X1 ) ).
thf(func_def_104,type,
sK37:
!>[X0: $tType,X1: $tType] : ( partia1265057091ct_ext(X1,monoid_ext(X1,X0)) > X1 ) ).
thf(func_def_105,type,
sK38:
!>[X0: $tType] : ( set(X0) > X0 > set(X0) ) ).
thf(func_def_106,type,
sK39:
!>[X0: $tType] : ( set(X0) > X0 > set(X0) ) ).
thf(func_def_107,type,
sK40:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).
thf(func_def_108,type,
sK41:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).
thf(func_def_109,type,
sK42:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).
thf(func_def_110,type,
sK43:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).
thf(func_def_111,type,
sK44:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > X1 ) ).
thf(func_def_112,type,
sK45:
!>[X0: $tType,X1: $tType] : ( ( product_prod(X1,X0) > $o ) > X1 ) ).
thf(func_def_113,type,
sK46:
!>[X0: $tType,X1: $tType] : ( ( product_prod(X1,X0) > $o ) > X0 ) ).
thf(func_def_114,type,
sK47:
!>[X0: $tType,X1: $tType] : ( ( product_prod(X1,X0) > $o ) > X1 ) ).
thf(func_def_115,type,
sK48:
!>[X0: $tType,X1: $tType] : ( ( product_prod(X1,X0) > $o ) > X0 ) ).
thf(func_def_116,type,
sK49:
!>[X0: $tType,X1: $tType] : ( X1 > partia1265057091ct_ext(X1,monoid_ext(X1,X0)) > X1 ) ).
thf(func_def_117,type,
sK50:
!>[X0: $tType,X1: $tType] : ( X1 > partia1265057091ct_ext(X1,monoid_ext(X1,X0)) > X1 ) ).
thf(func_def_118,type,
sK51:
!>[X0: $tType,X1: $tType] : ( X1 > partia1265057091ct_ext(X1,monoid_ext(X1,X0)) > X1 ) ).
thf(func_def_119,type,
sK52:
!>[X0: $tType,X1: $tType] : ( X1 > partia1265057091ct_ext(X1,monoid_ext(X1,X0)) > X1 ) ).
thf(func_def_120,type,
sK53:
!>[X0: $tType,X1: $tType] : ( X1 > partia1265057091ct_ext(X1,monoid_ext(X1,X0)) > X1 ) ).
thf(func_def_121,type,
sK54:
!>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X0 ) ).
thf(func_def_122,type,
sK55:
!>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X1 ) ).
thf(func_def_123,type,
sK56:
!>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X2 ) ).
thf(func_def_124,type,
sK57:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,product_prod(X1,X0)) > $o ) > X2 ) ).
thf(func_def_125,type,
sK58:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,product_prod(X1,X0)) > $o ) > X1 ) ).
thf(func_def_126,type,
sK59:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,product_prod(X1,X0)) > $o ) > X0 ) ).
thf(func_def_127,type,
sK60:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X0 ) ).
thf(func_def_128,type,
sK61:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X1 ) ).
thf(func_def_129,type,
sK62:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X2 ) ).
thf(func_def_130,type,
sK63:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X3 ) ).
thf(func_def_131,type,
sK64:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( product_prod(X3,product_prod(X2,product_prod(X1,X0))) > $o ) > X3 ) ).
thf(func_def_132,type,
sK65:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( product_prod(X3,product_prod(X2,product_prod(X1,X0))) > $o ) > X2 ) ).
thf(func_def_133,type,
sK66:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( product_prod(X3,product_prod(X2,product_prod(X1,X0))) > $o ) > X1 ) ).
thf(func_def_134,type,
sK67:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( product_prod(X3,product_prod(X2,product_prod(X1,X0))) > $o ) > X0 ) ).
thf(func_def_135,type,
sK68:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X0 ) ).
thf(func_def_136,type,
sK69:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X1 ) ).
thf(func_def_137,type,
sK70:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X2 ) ).
thf(func_def_138,type,
sK71:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X3 ) ).
thf(func_def_139,type,
sK72:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X4 ) ).
thf(func_def_140,type,
sK73:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( ( product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))) > $o ) > X4 ) ).
thf(func_def_141,type,
sK74:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( ( product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))) > $o ) > X3 ) ).
thf(func_def_142,type,
sK75:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( ( product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))) > $o ) > X2 ) ).
thf(func_def_143,type,
sK76:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( ( product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))) > $o ) > X1 ) ).
thf(func_def_144,type,
sK77:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( ( product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))) > $o ) > X0 ) ).
thf(func_def_145,type,
sK78:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X0 ) ).
thf(func_def_146,type,
sK79:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X1 ) ).
thf(func_def_147,type,
sK80:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X2 ) ).
thf(func_def_148,type,
sK81:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X3 ) ).
thf(func_def_149,type,
sK82:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X4 ) ).
thf(func_def_150,type,
sK83:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X5 ) ).
thf(func_def_151,type,
sK84:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( ( product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))) > $o ) > X5 ) ).
thf(func_def_152,type,
sK85:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( ( product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))) > $o ) > X4 ) ).
thf(func_def_153,type,
sK86:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( ( product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))) > $o ) > X3 ) ).
thf(func_def_154,type,
sK87:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( ( product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))) > $o ) > X2 ) ).
thf(func_def_155,type,
sK88:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( ( product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))) > $o ) > X1 ) ).
thf(func_def_156,type,
sK89:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( ( product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))) > $o ) > X0 ) ).
thf(func_def_157,type,
sK90:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X0 ) ).
thf(func_def_158,type,
sK91:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X1 ) ).
thf(func_def_159,type,
sK92:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X2 ) ).
thf(func_def_160,type,
sK93:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X3 ) ).
thf(func_def_161,type,
sK94:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X4 ) ).
thf(func_def_162,type,
sK95:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X5 ) ).
thf(func_def_163,type,
sK96:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X6 ) ).
thf(func_def_164,type,
sK97:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( ( product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))) > $o ) > X6 ) ).
thf(func_def_165,type,
sK98:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( ( product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))) > $o ) > X5 ) ).
thf(func_def_166,type,
sK99:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( ( product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))) > $o ) > X4 ) ).
thf(func_def_167,type,
sK100:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( ( product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))) > $o ) > X3 ) ).
thf(func_def_168,type,
sK101:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( ( product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))) > $o ) > X2 ) ).
thf(func_def_169,type,
sK102:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( ( product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))) > $o ) > X1 ) ).
thf(func_def_170,type,
sK103:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( ( product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))) > $o ) > X0 ) ).
thf(func_def_172,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_173,type,
sK105:
!>[X0: $tType] : ( X0 > set(X0) > X0 > set(X0) > set(X0) ) ).
thf(func_def_174,type,
sK106:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_175,type,
sK107:
!>[X0: $tType] : ( set(X0) > X0 ) ).
thf(func_def_176,type,
sK108:
!>[X0: $tType] : ( set(X0) > X0 ) ).
thf(func_def_177,type,
sK109:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_178,type,
sK110:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(f1713,plain,
$false,
inference(subsumption_resolution,[],[f1712,f1710]) ).
thf(f1710,plain,
vAPP(a,set(product_prod(a,a)),vAPP(a,sTfun(a,set(product_prod(a,a))),vAPP(partia1265057091ct_ext(product_prod(a,a),eq_eq_object_ext(product_prod(a,a),product_unit)),sTfun(a,sTfun(a,set(product_prod(a,a)))),locali1641774487f_frac(a,a,product_unit),rel),vAPP(a,a,vAPP(a,sTfun(a,a),vAPP(partia1265057091ct_ext(a,monoid_ext(a,ring_ext(a,b))),sTfun(a,sTfun(a,a)),mult(a,ring_ext(a,b)),r),r2),r3)),vAPP(a,a,vAPP(a,sTfun(a,a),vAPP(partia1265057091ct_ext(a,monoid_ext(a,ring_ext(a,b))),sTfun(a,sTfun(a,a)),mult(a,ring_ext(a,b)),r),s2),s3)) != vAPP(set(product_prod(a,a)),set(product_prod(a,a)),vAPP(set(product_prod(a,a)),sTfun(set(product_prod(a,a)),set(product_prod(a,a))),vAPP(partia1265057091ct_ext(set(product_prod(a,a)),monoid_ext(set(product_prod(a,a)),product_unit)),sTfun(set(product_prod(a,a)),sTfun(set(product_prod(a,a)),set(product_prod(a,a)))),mult(set(product_prod(a,a)),product_unit),vAPP(set(a),partia1265057091ct_ext(set(product_prod(a,a)),monoid_ext(set(product_prod(a,a)),product_unit)),vAPP(partia1265057091ct_ext(a,monoid_ext(a,ring_ext(a,b))),sTfun(set(a),partia1265057091ct_ext(set(product_prod(a,a)),monoid_ext(set(product_prod(a,a)),product_unit))),locali1768110497f_frac(a,b),r),s)),vAPP(a,set(product_prod(a,a)),vAPP(a,sTfun(a,set(product_prod(a,a))),vAPP(partia1265057091ct_ext(product_prod(a,a),eq_eq_object_ext(product_prod(a,a),product_unit)),sTfun(a,sTfun(a,set(product_prod(a,a)))),locali1641774487f_frac(a,a,product_unit),rel),r3),s3)),vAPP(a,set(product_prod(a,a)),vAPP(a,sTfun(a,set(product_prod(a,a))),vAPP(partia1265057091ct_ext(product_prod(a,a),eq_eq_object_ext(product_prod(a,a),product_unit)),sTfun(a,sTfun(a,set(product_prod(a,a)))),locali1641774487f_frac(a,a,product_unit),rel),r2),s2)),
inference(backward_demodulation,[],[f1114,f1118]) ).
thf(f1118,plain,
vAPP(set(product_prod(a,a)),set(product_prod(a,a)),vAPP(set(product_prod(a,a)),sTfun(set(product_prod(a,a)),set(product_prod(a,a))),vAPP(partia1265057091ct_ext(set(product_prod(a,a)),monoid_ext(set(product_prod(a,a)),product_unit)),sTfun(set(product_prod(a,a)),sTfun(set(product_prod(a,a)),set(product_prod(a,a)))),mult(set(product_prod(a,a)),product_unit),vAPP(set(a),partia1265057091ct_ext(set(product_prod(a,a)),monoid_ext(set(product_prod(a,a)),product_unit)),vAPP(partia1265057091ct_ext(a,monoid_ext(a,ring_ext(a,b))),sTfun(set(a),partia1265057091ct_ext(set(product_prod(a,a)),monoid_ext(set(product_prod(a,a)),product_unit))),locali1768110497f_frac(a,b),r),s)),vAPP(a,set(product_prod(a,a)),vAPP(a,sTfun(a,set(product_prod(a,a))),vAPP(partia1265057091ct_ext(product_prod(a,a),eq_eq_object_ext(product_prod(a,a),product_unit)),sTfun(a,sTfun(a,set(product_prod(a,a)))),locali1641774487f_frac(a,a,product_unit),rel),r2),s2)),vAPP(a,set(product_prod(a,a)),vAPP(a,sTfun(a,set(product_prod(a,a))),vAPP(partia1265057091ct_ext(product_prod(a,a),eq_eq_object_ext(product_prod(a,a),product_unit)),sTfun(a,sTfun(a,set(product_prod(a,a)))),locali1641774487f_frac(a,a,product_unit),rel),r3),s3)) = vAPP(a,set(product_prod(a,a)),vAPP(a,sTfun(a,set(product_prod(a,a))),vAPP(partia1265057091ct_ext(product_prod(a,a),eq_eq_object_ext(product_prod(a,a),product_unit)),sTfun(a,sTfun(a,set(product_prod(a,a)))),locali1641774487f_frac(a,a,product_unit),rel),vAPP(a,a,vAPP(a,sTfun(a,a),vAPP(partia1265057091ct_ext(a,monoid_ext(a,ring_ext(a,b))),sTfun(a,sTfun(a,a)),mult(a,ring_ext(a,b)),r),r2),r3)),vAPP(a,a,vAPP(a,sTfun(a,a),vAPP(partia1265057091ct_ext(a,monoid_ext(a,ring_ext(a,b))),sTfun(a,sTfun(a,a)),mult(a,ring_ext(a,b)),r),s2),s3)),
inference(cnf_transformation,[],[f4]) ).
thf(f4,axiom,
vAPP(set(product_prod(a,a)),set(product_prod(a,a)),vAPP(set(product_prod(a,a)),sTfun(set(product_prod(a,a)),set(product_prod(a,a))),vAPP(partia1265057091ct_ext(set(product_prod(a,a)),monoid_ext(set(product_prod(a,a)),product_unit)),sTfun(set(product_prod(a,a)),sTfun(set(product_prod(a,a)),set(product_prod(a,a)))),mult(set(product_prod(a,a)),product_unit),vAPP(set(a),partia1265057091ct_ext(set(product_prod(a,a)),monoid_ext(set(product_prod(a,a)),product_unit)),vAPP(partia1265057091ct_ext(a,monoid_ext(a,ring_ext(a,b))),sTfun(set(a),partia1265057091ct_ext(set(product_prod(a,a)),monoid_ext(set(product_prod(a,a)),product_unit))),locali1768110497f_frac(a,b),r),s)),vAPP(a,set(product_prod(a,a)),vAPP(a,sTfun(a,set(product_prod(a,a))),vAPP(partia1265057091ct_ext(product_prod(a,a),eq_eq_object_ext(product_prod(a,a),product_unit)),sTfun(a,sTfun(a,set(product_prod(a,a)))),locali1641774487f_frac(a,a,product_unit),rel),r2),s2)),vAPP(a,set(product_prod(a,a)),vAPP(a,sTfun(a,set(product_prod(a,a))),vAPP(partia1265057091ct_ext(product_prod(a,a),eq_eq_object_ext(product_prod(a,a),product_unit)),sTfun(a,sTfun(a,set(product_prod(a,a)))),locali1641774487f_frac(a,a,product_unit),rel),r3),s3)) = vAPP(a,set(product_prod(a,a)),vAPP(a,sTfun(a,set(product_prod(a,a))),vAPP(partia1265057091ct_ext(product_prod(a,a),eq_eq_object_ext(product_prod(a,a),product_unit)),sTfun(a,sTfun(a,set(product_prod(a,a)))),locali1641774487f_frac(a,a,product_unit),rel),vAPP(a,a,vAPP(a,sTfun(a,a),vAPP(partia1265057091ct_ext(a,monoid_ext(a,ring_ext(a,b))),sTfun(a,sTfun(a,a)),mult(a,ring_ext(a,b)),r),r2),r3)),vAPP(a,a,vAPP(a,sTfun(a,a),vAPP(partia1265057091ct_ext(a,monoid_ext(a,ring_ext(a,b))),sTfun(a,sTfun(a,a)),mult(a,ring_ext(a,b)),r),s2),s3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_f1) ).
thf(f1114,plain,
vAPP(set(product_prod(a,a)),set(product_prod(a,a)),vAPP(set(product_prod(a,a)),sTfun(set(product_prod(a,a)),set(product_prod(a,a))),vAPP(partia1265057091ct_ext(set(product_prod(a,a)),monoid_ext(set(product_prod(a,a)),product_unit)),sTfun(set(product_prod(a,a)),sTfun(set(product_prod(a,a)),set(product_prod(a,a)))),mult(set(product_prod(a,a)),product_unit),vAPP(set(a),partia1265057091ct_ext(set(product_prod(a,a)),monoid_ext(set(product_prod(a,a)),product_unit)),vAPP(partia1265057091ct_ext(a,monoid_ext(a,ring_ext(a,b))),sTfun(set(a),partia1265057091ct_ext(set(product_prod(a,a)),monoid_ext(set(product_prod(a,a)),product_unit))),locali1768110497f_frac(a,b),r),s)),vAPP(a,set(product_prod(a,a)),vAPP(a,sTfun(a,set(product_prod(a,a))),vAPP(partia1265057091ct_ext(product_prod(a,a),eq_eq_object_ext(product_prod(a,a),product_unit)),sTfun(a,sTfun(a,set(product_prod(a,a)))),locali1641774487f_frac(a,a,product_unit),rel),r2),s2)),vAPP(a,set(product_prod(a,a)),vAPP(a,sTfun(a,set(product_prod(a,a))),vAPP(partia1265057091ct_ext(product_prod(a,a),eq_eq_object_ext(product_prod(a,a),product_unit)),sTfun(a,sTfun(a,set(product_prod(a,a)))),locali1641774487f_frac(a,a,product_unit),rel),r3),s3)) != vAPP(set(product_prod(a,a)),set(product_prod(a,a)),vAPP(set(product_prod(a,a)),sTfun(set(product_prod(a,a)),set(product_prod(a,a))),vAPP(partia1265057091ct_ext(set(product_prod(a,a)),monoid_ext(set(product_prod(a,a)),product_unit)),sTfun(set(product_prod(a,a)),sTfun(set(product_prod(a,a)),set(product_prod(a,a)))),mult(set(product_prod(a,a)),product_unit),vAPP(set(a),partia1265057091ct_ext(set(product_prod(a,a)),monoid_ext(set(product_prod(a,a)),product_unit)),vAPP(partia1265057091ct_ext(a,monoid_ext(a,ring_ext(a,b))),sTfun(set(a),partia1265057091ct_ext(set(product_prod(a,a)),monoid_ext(set(product_prod(a,a)),product_unit))),locali1768110497f_frac(a,b),r),s)),vAPP(a,set(product_prod(a,a)),vAPP(a,sTfun(a,set(product_prod(a,a))),vAPP(partia1265057091ct_ext(product_prod(a,a),eq_eq_object_ext(product_prod(a,a),product_unit)),sTfun(a,sTfun(a,set(product_prod(a,a)))),locali1641774487f_frac(a,a,product_unit),rel),r3),s3)),vAPP(a,set(product_prod(a,a)),vAPP(a,sTfun(a,set(product_prod(a,a))),vAPP(partia1265057091ct_ext(product_prod(a,a),eq_eq_object_ext(product_prod(a,a),product_unit)),sTfun(a,sTfun(a,set(product_prod(a,a)))),locali1641774487f_frac(a,a,product_unit),rel),r2),s2)),
inference(cnf_transformation,[],[f695]) ).
thf(f695,plain,
vAPP(set(product_prod(a,a)),set(product_prod(a,a)),vAPP(set(product_prod(a,a)),sTfun(set(product_prod(a,a)),set(product_prod(a,a))),vAPP(partia1265057091ct_ext(set(product_prod(a,a)),monoid_ext(set(product_prod(a,a)),product_unit)),sTfun(set(product_prod(a,a)),sTfun(set(product_prod(a,a)),set(product_prod(a,a)))),mult(set(product_prod(a,a)),product_unit),vAPP(set(a),partia1265057091ct_ext(set(product_prod(a,a)),monoid_ext(set(product_prod(a,a)),product_unit)),vAPP(partia1265057091ct_ext(a,monoid_ext(a,ring_ext(a,b))),sTfun(set(a),partia1265057091ct_ext(set(product_prod(a,a)),monoid_ext(set(product_prod(a,a)),product_unit))),locali1768110497f_frac(a,b),r),s)),vAPP(a,set(product_prod(a,a)),vAPP(a,sTfun(a,set(product_prod(a,a))),vAPP(partia1265057091ct_ext(product_prod(a,a),eq_eq_object_ext(product_prod(a,a),product_unit)),sTfun(a,sTfun(a,set(product_prod(a,a)))),locali1641774487f_frac(a,a,product_unit),rel),r2),s2)),vAPP(a,set(product_prod(a,a)),vAPP(a,sTfun(a,set(product_prod(a,a))),vAPP(partia1265057091ct_ext(product_prod(a,a),eq_eq_object_ext(product_prod(a,a),product_unit)),sTfun(a,sTfun(a,set(product_prod(a,a)))),locali1641774487f_frac(a,a,product_unit),rel),r3),s3)) != vAPP(set(product_prod(a,a)),set(product_prod(a,a)),vAPP(set(product_prod(a,a)),sTfun(set(product_prod(a,a)),set(product_prod(a,a))),vAPP(partia1265057091ct_ext(set(product_prod(a,a)),monoid_ext(set(product_prod(a,a)),product_unit)),sTfun(set(product_prod(a,a)),sTfun(set(product_prod(a,a)),set(product_prod(a,a)))),mult(set(product_prod(a,a)),product_unit),vAPP(set(a),partia1265057091ct_ext(set(product_prod(a,a)),monoid_ext(set(product_prod(a,a)),product_unit)),vAPP(partia1265057091ct_ext(a,monoid_ext(a,ring_ext(a,b))),sTfun(set(a),partia1265057091ct_ext(set(product_prod(a,a)),monoid_ext(set(product_prod(a,a)),product_unit))),locali1768110497f_frac(a,b),r),s)),vAPP(a,set(product_prod(a,a)),vAPP(a,sTfun(a,set(product_prod(a,a))),vAPP(partia1265057091ct_ext(product_prod(a,a),eq_eq_object_ext(product_prod(a,a),product_unit)),sTfun(a,sTfun(a,set(product_prod(a,a)))),locali1641774487f_frac(a,a,product_unit),rel),r3),s3)),vAPP(a,set(product_prod(a,a)),vAPP(a,sTfun(a,set(product_prod(a,a))),vAPP(partia1265057091ct_ext(product_prod(a,a),eq_eq_object_ext(product_prod(a,a),product_unit)),sTfun(a,sTfun(a,set(product_prod(a,a)))),locali1641774487f_frac(a,a,product_unit),rel),r2),s2)),
inference(flattening,[],[f258]) ).
thf(f258,negated_conjecture,
vAPP(set(product_prod(a,a)),set(product_prod(a,a)),vAPP(set(product_prod(a,a)),sTfun(set(product_prod(a,a)),set(product_prod(a,a))),vAPP(partia1265057091ct_ext(set(product_prod(a,a)),monoid_ext(set(product_prod(a,a)),product_unit)),sTfun(set(product_prod(a,a)),sTfun(set(product_prod(a,a)),set(product_prod(a,a)))),mult(set(product_prod(a,a)),product_unit),vAPP(set(a),partia1265057091ct_ext(set(product_prod(a,a)),monoid_ext(set(product_prod(a,a)),product_unit)),vAPP(partia1265057091ct_ext(a,monoid_ext(a,ring_ext(a,b))),sTfun(set(a),partia1265057091ct_ext(set(product_prod(a,a)),monoid_ext(set(product_prod(a,a)),product_unit))),locali1768110497f_frac(a,b),r),s)),vAPP(a,set(product_prod(a,a)),vAPP(a,sTfun(a,set(product_prod(a,a))),vAPP(partia1265057091ct_ext(product_prod(a,a),eq_eq_object_ext(product_prod(a,a),product_unit)),sTfun(a,sTfun(a,set(product_prod(a,a)))),locali1641774487f_frac(a,a,product_unit),rel),r2),s2)),vAPP(a,set(product_prod(a,a)),vAPP(a,sTfun(a,set(product_prod(a,a))),vAPP(partia1265057091ct_ext(product_prod(a,a),eq_eq_object_ext(product_prod(a,a),product_unit)),sTfun(a,sTfun(a,set(product_prod(a,a)))),locali1641774487f_frac(a,a,product_unit),rel),r3),s3)) != vAPP(set(product_prod(a,a)),set(product_prod(a,a)),vAPP(set(product_prod(a,a)),sTfun(set(product_prod(a,a)),set(product_prod(a,a))),vAPP(partia1265057091ct_ext(set(product_prod(a,a)),monoid_ext(set(product_prod(a,a)),product_unit)),sTfun(set(product_prod(a,a)),sTfun(set(product_prod(a,a)),set(product_prod(a,a)))),mult(set(product_prod(a,a)),product_unit),vAPP(set(a),partia1265057091ct_ext(set(product_prod(a,a)),monoid_ext(set(product_prod(a,a)),product_unit)),vAPP(partia1265057091ct_ext(a,monoid_ext(a,ring_ext(a,b))),sTfun(set(a),partia1265057091ct_ext(set(product_prod(a,a)),monoid_ext(set(product_prod(a,a)),product_unit))),locali1768110497f_frac(a,b),r),s)),vAPP(a,set(product_prod(a,a)),vAPP(a,sTfun(a,set(product_prod(a,a))),vAPP(partia1265057091ct_ext(product_prod(a,a),eq_eq_object_ext(product_prod(a,a),product_unit)),sTfun(a,sTfun(a,set(product_prod(a,a)))),locali1641774487f_frac(a,a,product_unit),rel),r3),s3)),vAPP(a,set(product_prod(a,a)),vAPP(a,sTfun(a,set(product_prod(a,a))),vAPP(partia1265057091ct_ext(product_prod(a,a),eq_eq_object_ext(product_prod(a,a),product_unit)),sTfun(a,sTfun(a,set(product_prod(a,a)))),locali1641774487f_frac(a,a,product_unit),rel),r2),s2)),
inference(negated_conjecture,[],[f257]) ).
thf(f257,conjecture,
vAPP(set(product_prod(a,a)),set(product_prod(a,a)),vAPP(set(product_prod(a,a)),sTfun(set(product_prod(a,a)),set(product_prod(a,a))),vAPP(partia1265057091ct_ext(set(product_prod(a,a)),monoid_ext(set(product_prod(a,a)),product_unit)),sTfun(set(product_prod(a,a)),sTfun(set(product_prod(a,a)),set(product_prod(a,a)))),mult(set(product_prod(a,a)),product_unit),vAPP(set(a),partia1265057091ct_ext(set(product_prod(a,a)),monoid_ext(set(product_prod(a,a)),product_unit)),vAPP(partia1265057091ct_ext(a,monoid_ext(a,ring_ext(a,b))),sTfun(set(a),partia1265057091ct_ext(set(product_prod(a,a)),monoid_ext(set(product_prod(a,a)),product_unit))),locali1768110497f_frac(a,b),r),s)),vAPP(a,set(product_prod(a,a)),vAPP(a,sTfun(a,set(product_prod(a,a))),vAPP(partia1265057091ct_ext(product_prod(a,a),eq_eq_object_ext(product_prod(a,a),product_unit)),sTfun(a,sTfun(a,set(product_prod(a,a)))),locali1641774487f_frac(a,a,product_unit),rel),r2),s2)),vAPP(a,set(product_prod(a,a)),vAPP(a,sTfun(a,set(product_prod(a,a))),vAPP(partia1265057091ct_ext(product_prod(a,a),eq_eq_object_ext(product_prod(a,a),product_unit)),sTfun(a,sTfun(a,set(product_prod(a,a)))),locali1641774487f_frac(a,a,product_unit),rel),r3),s3)) = vAPP(set(product_prod(a,a)),set(product_prod(a,a)),vAPP(set(product_prod(a,a)),sTfun(set(product_prod(a,a)),set(product_prod(a,a))),vAPP(partia1265057091ct_ext(set(product_prod(a,a)),monoid_ext(set(product_prod(a,a)),product_unit)),sTfun(set(product_prod(a,a)),sTfun(set(product_prod(a,a)),set(product_prod(a,a)))),mult(set(product_prod(a,a)),product_unit),vAPP(set(a),partia1265057091ct_ext(set(product_prod(a,a)),monoid_ext(set(product_prod(a,a)),product_unit)),vAPP(partia1265057091ct_ext(a,monoid_ext(a,ring_ext(a,b))),sTfun(set(a),partia1265057091ct_ext(set(product_prod(a,a)),monoid_ext(set(product_prod(a,a)),product_unit))),locali1768110497f_frac(a,b),r),s)),vAPP(a,set(product_prod(a,a)),vAPP(a,sTfun(a,set(product_prod(a,a))),vAPP(partia1265057091ct_ext(product_prod(a,a),eq_eq_object_ext(product_prod(a,a),product_unit)),sTfun(a,sTfun(a,set(product_prod(a,a)))),locali1641774487f_frac(a,a,product_unit),rel),r3),s3)),vAPP(a,set(product_prod(a,a)),vAPP(a,sTfun(a,set(product_prod(a,a))),vAPP(partia1265057091ct_ext(product_prod(a,a),eq_eq_object_ext(product_prod(a,a),product_unit)),sTfun(a,sTfun(a,set(product_prod(a,a)))),locali1641774487f_frac(a,a,product_unit),rel),r2),s2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f1712,plain,
vAPP(a,set(product_prod(a,a)),vAPP(a,sTfun(a,set(product_prod(a,a))),vAPP(partia1265057091ct_ext(product_prod(a,a),eq_eq_object_ext(product_prod(a,a),product_unit)),sTfun(a,sTfun(a,set(product_prod(a,a)))),locali1641774487f_frac(a,a,product_unit),rel),vAPP(a,a,vAPP(a,sTfun(a,a),vAPP(partia1265057091ct_ext(a,monoid_ext(a,ring_ext(a,b))),sTfun(a,sTfun(a,a)),mult(a,ring_ext(a,b)),r),r2),r3)),vAPP(a,a,vAPP(a,sTfun(a,a),vAPP(partia1265057091ct_ext(a,monoid_ext(a,ring_ext(a,b))),sTfun(a,sTfun(a,a)),mult(a,ring_ext(a,b)),r),s2),s3)) = vAPP(set(product_prod(a,a)),set(product_prod(a,a)),vAPP(set(product_prod(a,a)),sTfun(set(product_prod(a,a)),set(product_prod(a,a))),vAPP(partia1265057091ct_ext(set(product_prod(a,a)),monoid_ext(set(product_prod(a,a)),product_unit)),sTfun(set(product_prod(a,a)),sTfun(set(product_prod(a,a)),set(product_prod(a,a)))),mult(set(product_prod(a,a)),product_unit),vAPP(set(a),partia1265057091ct_ext(set(product_prod(a,a)),monoid_ext(set(product_prod(a,a)),product_unit)),vAPP(partia1265057091ct_ext(a,monoid_ext(a,ring_ext(a,b))),sTfun(set(a),partia1265057091ct_ext(set(product_prod(a,a)),monoid_ext(set(product_prod(a,a)),product_unit))),locali1768110497f_frac(a,b),r),s)),vAPP(a,set(product_prod(a,a)),vAPP(a,sTfun(a,set(product_prod(a,a))),vAPP(partia1265057091ct_ext(product_prod(a,a),eq_eq_object_ext(product_prod(a,a),product_unit)),sTfun(a,sTfun(a,set(product_prod(a,a)))),locali1641774487f_frac(a,a,product_unit),rel),r3),s3)),vAPP(a,set(product_prod(a,a)),vAPP(a,sTfun(a,set(product_prod(a,a))),vAPP(partia1265057091ct_ext(product_prod(a,a),eq_eq_object_ext(product_prod(a,a),product_unit)),sTfun(a,sTfun(a,set(product_prod(a,a)))),locali1641774487f_frac(a,a,product_unit),rel),r2),s2)),
inference(forward_demodulation,[],[f1711,f1116]) ).
thf(f1116,plain,
vAPP(a,a,vAPP(a,sTfun(a,a),vAPP(partia1265057091ct_ext(a,monoid_ext(a,ring_ext(a,b))),sTfun(a,sTfun(a,a)),mult(a,ring_ext(a,b)),r),r2),r3) = vAPP(a,a,vAPP(a,sTfun(a,a),vAPP(partia1265057091ct_ext(a,monoid_ext(a,ring_ext(a,b))),sTfun(a,sTfun(a,a)),mult(a,ring_ext(a,b)),r),r3),r2),
inference(cnf_transformation,[],[f1]) ).
thf(f1,axiom,
vAPP(a,a,vAPP(a,sTfun(a,a),vAPP(partia1265057091ct_ext(a,monoid_ext(a,ring_ext(a,b))),sTfun(a,sTfun(a,a)),mult(a,ring_ext(a,b)),r),r2),r3) = vAPP(a,a,vAPP(a,sTfun(a,a),vAPP(partia1265057091ct_ext(a,monoid_ext(a,ring_ext(a,b))),sTfun(a,sTfun(a,a)),mult(a,ring_ext(a,b)),r),r3),r2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_f3) ).
thf(f1711,plain,
vAPP(set(product_prod(a,a)),set(product_prod(a,a)),vAPP(set(product_prod(a,a)),sTfun(set(product_prod(a,a)),set(product_prod(a,a))),vAPP(partia1265057091ct_ext(set(product_prod(a,a)),monoid_ext(set(product_prod(a,a)),product_unit)),sTfun(set(product_prod(a,a)),sTfun(set(product_prod(a,a)),set(product_prod(a,a)))),mult(set(product_prod(a,a)),product_unit),vAPP(set(a),partia1265057091ct_ext(set(product_prod(a,a)),monoid_ext(set(product_prod(a,a)),product_unit)),vAPP(partia1265057091ct_ext(a,monoid_ext(a,ring_ext(a,b))),sTfun(set(a),partia1265057091ct_ext(set(product_prod(a,a)),monoid_ext(set(product_prod(a,a)),product_unit))),locali1768110497f_frac(a,b),r),s)),vAPP(a,set(product_prod(a,a)),vAPP(a,sTfun(a,set(product_prod(a,a))),vAPP(partia1265057091ct_ext(product_prod(a,a),eq_eq_object_ext(product_prod(a,a),product_unit)),sTfun(a,sTfun(a,set(product_prod(a,a)))),locali1641774487f_frac(a,a,product_unit),rel),r3),s3)),vAPP(a,set(product_prod(a,a)),vAPP(a,sTfun(a,set(product_prod(a,a))),vAPP(partia1265057091ct_ext(product_prod(a,a),eq_eq_object_ext(product_prod(a,a),product_unit)),sTfun(a,sTfun(a,set(product_prod(a,a)))),locali1641774487f_frac(a,a,product_unit),rel),r2),s2)) = vAPP(a,set(product_prod(a,a)),vAPP(a,sTfun(a,set(product_prod(a,a))),vAPP(partia1265057091ct_ext(product_prod(a,a),eq_eq_object_ext(product_prod(a,a),product_unit)),sTfun(a,sTfun(a,set(product_prod(a,a)))),locali1641774487f_frac(a,a,product_unit),rel),vAPP(a,a,vAPP(a,sTfun(a,a),vAPP(partia1265057091ct_ext(a,monoid_ext(a,ring_ext(a,b))),sTfun(a,sTfun(a,a)),mult(a,ring_ext(a,b)),r),r3),r2)),vAPP(a,a,vAPP(a,sTfun(a,a),vAPP(partia1265057091ct_ext(a,monoid_ext(a,ring_ext(a,b))),sTfun(a,sTfun(a,a)),mult(a,ring_ext(a,b)),r),s2),s3)),
inference(forward_demodulation,[],[f1119,f1117]) ).
thf(f1117,plain,
vAPP(a,a,vAPP(a,sTfun(a,a),vAPP(partia1265057091ct_ext(a,monoid_ext(a,ring_ext(a,b))),sTfun(a,sTfun(a,a)),mult(a,ring_ext(a,b)),r),s2),s3) = vAPP(a,a,vAPP(a,sTfun(a,a),vAPP(partia1265057091ct_ext(a,monoid_ext(a,ring_ext(a,b))),sTfun(a,sTfun(a,a)),mult(a,ring_ext(a,b)),r),s3),s2),
inference(cnf_transformation,[],[f2]) ).
thf(f2,axiom,
vAPP(a,a,vAPP(a,sTfun(a,a),vAPP(partia1265057091ct_ext(a,monoid_ext(a,ring_ext(a,b))),sTfun(a,sTfun(a,a)),mult(a,ring_ext(a,b)),r),s2),s3) = vAPP(a,a,vAPP(a,sTfun(a,a),vAPP(partia1265057091ct_ext(a,monoid_ext(a,ring_ext(a,b))),sTfun(a,sTfun(a,a)),mult(a,ring_ext(a,b)),r),s3),s2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_f4) ).
thf(f1119,plain,
vAPP(set(product_prod(a,a)),set(product_prod(a,a)),vAPP(set(product_prod(a,a)),sTfun(set(product_prod(a,a)),set(product_prod(a,a))),vAPP(partia1265057091ct_ext(set(product_prod(a,a)),monoid_ext(set(product_prod(a,a)),product_unit)),sTfun(set(product_prod(a,a)),sTfun(set(product_prod(a,a)),set(product_prod(a,a)))),mult(set(product_prod(a,a)),product_unit),vAPP(set(a),partia1265057091ct_ext(set(product_prod(a,a)),monoid_ext(set(product_prod(a,a)),product_unit)),vAPP(partia1265057091ct_ext(a,monoid_ext(a,ring_ext(a,b))),sTfun(set(a),partia1265057091ct_ext(set(product_prod(a,a)),monoid_ext(set(product_prod(a,a)),product_unit))),locali1768110497f_frac(a,b),r),s)),vAPP(a,set(product_prod(a,a)),vAPP(a,sTfun(a,set(product_prod(a,a))),vAPP(partia1265057091ct_ext(product_prod(a,a),eq_eq_object_ext(product_prod(a,a),product_unit)),sTfun(a,sTfun(a,set(product_prod(a,a)))),locali1641774487f_frac(a,a,product_unit),rel),r3),s3)),vAPP(a,set(product_prod(a,a)),vAPP(a,sTfun(a,set(product_prod(a,a))),vAPP(partia1265057091ct_ext(product_prod(a,a),eq_eq_object_ext(product_prod(a,a),product_unit)),sTfun(a,sTfun(a,set(product_prod(a,a)))),locali1641774487f_frac(a,a,product_unit),rel),r2),s2)) = vAPP(a,set(product_prod(a,a)),vAPP(a,sTfun(a,set(product_prod(a,a))),vAPP(partia1265057091ct_ext(product_prod(a,a),eq_eq_object_ext(product_prod(a,a),product_unit)),sTfun(a,sTfun(a,set(product_prod(a,a)))),locali1641774487f_frac(a,a,product_unit),rel),vAPP(a,a,vAPP(a,sTfun(a,a),vAPP(partia1265057091ct_ext(a,monoid_ext(a,ring_ext(a,b))),sTfun(a,sTfun(a,a)),mult(a,ring_ext(a,b)),r),r3),r2)),vAPP(a,a,vAPP(a,sTfun(a,a),vAPP(partia1265057091ct_ext(a,monoid_ext(a,ring_ext(a,b))),sTfun(a,sTfun(a,a)),mult(a,ring_ext(a,b)),r),s3),s2)),
inference(cnf_transformation,[],[f5]) ).
thf(f5,axiom,
vAPP(set(product_prod(a,a)),set(product_prod(a,a)),vAPP(set(product_prod(a,a)),sTfun(set(product_prod(a,a)),set(product_prod(a,a))),vAPP(partia1265057091ct_ext(set(product_prod(a,a)),monoid_ext(set(product_prod(a,a)),product_unit)),sTfun(set(product_prod(a,a)),sTfun(set(product_prod(a,a)),set(product_prod(a,a)))),mult(set(product_prod(a,a)),product_unit),vAPP(set(a),partia1265057091ct_ext(set(product_prod(a,a)),monoid_ext(set(product_prod(a,a)),product_unit)),vAPP(partia1265057091ct_ext(a,monoid_ext(a,ring_ext(a,b))),sTfun(set(a),partia1265057091ct_ext(set(product_prod(a,a)),monoid_ext(set(product_prod(a,a)),product_unit))),locali1768110497f_frac(a,b),r),s)),vAPP(a,set(product_prod(a,a)),vAPP(a,sTfun(a,set(product_prod(a,a))),vAPP(partia1265057091ct_ext(product_prod(a,a),eq_eq_object_ext(product_prod(a,a),product_unit)),sTfun(a,sTfun(a,set(product_prod(a,a)))),locali1641774487f_frac(a,a,product_unit),rel),r3),s3)),vAPP(a,set(product_prod(a,a)),vAPP(a,sTfun(a,set(product_prod(a,a))),vAPP(partia1265057091ct_ext(product_prod(a,a),eq_eq_object_ext(product_prod(a,a),product_unit)),sTfun(a,sTfun(a,set(product_prod(a,a)))),locali1641774487f_frac(a,a,product_unit),rel),r2),s2)) = vAPP(a,set(product_prod(a,a)),vAPP(a,sTfun(a,set(product_prod(a,a))),vAPP(partia1265057091ct_ext(product_prod(a,a),eq_eq_object_ext(product_prod(a,a),product_unit)),sTfun(a,sTfun(a,set(product_prod(a,a)))),locali1641774487f_frac(a,a,product_unit),rel),vAPP(a,a,vAPP(a,sTfun(a,a),vAPP(partia1265057091ct_ext(a,monoid_ext(a,ring_ext(a,b))),sTfun(a,sTfun(a,a)),mult(a,ring_ext(a,b)),r),r3),r2)),vAPP(a,a,vAPP(a,sTfun(a,a),vAPP(partia1265057091ct_ext(a,monoid_ext(a,ring_ext(a,b))),sTfun(a,sTfun(a,a)),mult(a,ring_ext(a,b)),r),s3),s2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_f2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP107^2 : TPTP v8.2.0. Released v7.5.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n009.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 : Sat May 18 18:33:53 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (8106)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.39 % (8109)WARNING: value z3 for option sas not known
% 0.21/0.39 % (8108)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.39 % (8107)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.39 % (8110)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.39 % (8111)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)
% 0.21/0.39 % (8109)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)
% 0.21/0.40 % (8112)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)
% 0.21/0.40 % (8113)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)
% 0.21/0.44 % (8113)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.21/0.46 % Exception at run slice level
% 0.21/0.46 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.46 % Exception at run slice level
% 0.21/0.46 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.48 % (8114)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.21/0.48 % (8115)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)
% 1.10/0.52 % Exception at run slice level
% 1.10/0.52 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 1.10/0.53 % (8116)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)
% 1.10/0.53 % (8114)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 1.22/0.54 % (8115)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 1.22/0.55 % Exception at run slice level
% 1.22/0.55 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 1.22/0.56 % (8117)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)
% 1.22/0.56 % (8116)First to succeed.
% 1.22/0.56 % (8116)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8106"
% 1.22/0.56 % (8116)Refutation found. Thanks to Tanya!
% 1.22/0.56 % SZS status Theorem for theBenchmark
% 1.22/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.22/0.56 % (8116)------------------------------
% 1.22/0.56 % (8116)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.22/0.56 % (8116)Termination reason: Refutation
% 1.22/0.56
% 1.22/0.56 % (8116)Memory used [KB]: 1940
% 1.22/0.56 % (8116)Time elapsed: 0.037 s
% 1.22/0.56 % (8116)Instructions burned: 154 (million)
% 1.22/0.56 % (8106)Success in time 0.189 s
%------------------------------------------------------------------------------