%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP159^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 08:08:36 AM UTC 2026
% Result : Theorem 0.52s 0.42s
% Output : Refutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 36 ( 22 unt; 0 typ; 1 def)
% Number of atoms : 123 ( 33 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 157 ( 24 ~; 18 |; 0 &; 108 @)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 21 ( 20 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 152 ( 149 usr; 13 con; 0-4 aty)
% Number of variables : 31 ( 0 sgn 31 !; 0 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_Pr451126599t_unit: $tType ).
thf(type_def_6,type,
refine787176636t_unit: $tType ).
thf(type_def_7,type,
set_Pr1707992533t_unit: $tType ).
thf(type_def_8,type,
set_Pr1628433942t_unit: $tType ).
thf(type_def_9,type,
set_Pr712638521unit_b: $tType ).
thf(type_def_10,type,
set_Pr1720557880unit_a: $tType ).
thf(type_def_11,type,
refine432681134nres_b: $tType ).
thf(type_def_12,type,
refine424419629nres_a: $tType ).
thf(type_def_13,type,
set_Product_prod_b_b: $tType ).
thf(type_def_14,type,
set_Product_prod_b_a: $tType ).
thf(type_def_15,type,
set_Product_prod_a_b: $tType ).
thf(type_def_16,type,
set_Product_prod_a_a: $tType ).
thf(type_def_17,type,
product_prod_b_b: $tType ).
thf(type_def_18,type,
product_prod_a_b: $tType ).
thf(type_def_19,type,
product_prod_a_a: $tType ).
thf(type_def_20,type,
product_unit: $tType ).
thf(type_def_21,type,
set_b: $tType ).
thf(type_def_22,type,
set_a: $tType ).
thf(type_def_23,type,
b: $tType ).
thf(type_def_24,type,
a: $tType ).
thf(type_def_25,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
if_o_R1705037948nres_a: $o > ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o > refine424419629nres_a ).
thf(func_def_1,type,
if_o_R697118589nres_b: $o > ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > $o > refine432681134nres_b ).
thf(func_def_2,type,
if_Ref1724547303nres_a: $o > refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ).
thf(func_def_3,type,
if_Ref1732808808nres_b: $o > refine432681134nres_b > refine432681134nres_b > refine432681134nres_b ).
thf(func_def_4,type,
if_set1550076877od_a_a: $o > set_Product_prod_a_a > set_Product_prod_a_a > set_Product_prod_a_a ).
thf(func_def_5,type,
if_set_a: $o > set_a > set_a > set_a ).
thf(func_def_6,type,
if_set_b: $o > set_b > set_b > set_b ).
thf(func_def_7,type,
sup_su2034729561nres_a: refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ).
thf(func_def_8,type,
sup_su2042991066nres_b: refine432681134nres_b > refine432681134nres_b > refine432681134nres_b ).
thf(func_def_9,type,
ord_le516598614nres_a: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_10,type,
ord_le1656162903nres_b: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > $o ).
thf(func_def_11,type,
ord_le1051254044t_unit: refine787176636t_unit > refine787176636t_unit > $o ).
thf(func_def_12,type,
ord_le519537037nres_a: refine424419629nres_a > refine424419629nres_a > $o ).
thf(func_def_13,type,
ord_le527798542nres_b: refine432681134nres_b > refine432681134nres_b > $o ).
thf(func_def_14,type,
ord_le1824328871od_a_a: set_Product_prod_a_a > set_Product_prod_a_a > $o ).
thf(func_def_15,type,
ord_le816409512od_a_b: set_Product_prod_a_b > set_Product_prod_a_b > $o ).
thf(func_def_16,type,
ord_le2044239718od_b_a: set_Product_prod_b_a > set_Product_prod_b_a > $o ).
thf(func_def_17,type,
ord_le1036320359od_b_b: set_Product_prod_b_b > set_Product_prod_b_b > $o ).
thf(func_def_18,type,
ord_less_eq_set_a: set_a > set_a > $o ).
thf(func_def_19,type,
ord_less_eq_set_b: set_b > set_b > $o ).
thf(func_def_20,type,
order_1714329108nres_a: ( refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(func_def_21,type,
order_1722590613nres_b: ( refine432681134nres_b > $o ) > refine432681134nres_b ).
thf(func_def_22,type,
top_to2046902534nres_a: $o > refine424419629nres_a ).
thf(func_def_23,type,
top_to1038983175nres_b: $o > refine432681134nres_b ).
thf(func_def_24,type,
top_to177290092t_unit: refine787176636t_unit ).
thf(func_def_25,type,
top_to231829469nres_a: refine424419629nres_a ).
thf(func_def_26,type,
top_to240090974nres_b: refine432681134nres_b ).
thf(func_def_27,type,
top_to398455383od_a_a: set_Product_prod_a_a ).
thf(func_def_28,type,
top_top_set_a: set_a ).
thf(func_def_29,type,
top_top_set_b: set_b ).
thf(func_def_30,type,
product_Pair_a_a: a > a > product_prod_a_a ).
thf(func_def_31,type,
product_Pair_a_b: a > b > product_prod_a_b ).
thf(func_def_32,type,
product_Pair_b_b: b > b > product_prod_b_b ).
thf(func_def_33,type,
refine2063221604TURN_a: a > refine424419629nres_a ).
thf(func_def_34,type,
refine2063221605TURN_b: b > refine432681134nres_b ).
thf(func_def_35,type,
refine1136779702un_a_a: set_Product_prod_a_a > refine424419629nres_a > refine424419629nres_a ).
thf(func_def_36,type,
refine1136779703un_a_b: set_Product_prod_a_b > refine424419629nres_a > refine432681134nres_b ).
thf(func_def_37,type,
refine1964549109un_b_a: set_Product_prod_b_a > refine432681134nres_b > refine424419629nres_a ).
thf(func_def_38,type,
refine1964549110un_b_b: set_Product_prod_b_b > refine432681134nres_b > refine432681134nres_b ).
thf(func_def_39,type,
refine119808503unit_a: refine787176636t_unit > ( product_unit > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_40,type,
refine119808504unit_b: refine787176636t_unit > ( product_unit > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_41,type,
refine436832838nd_a_a: refine424419629nres_a > ( a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_42,type,
refine436832839nd_a_b: refine424419629nres_a > ( a > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_43,type,
refine1264602245nd_b_a: refine432681134nres_b > ( b > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_44,type,
refine1264602246nd_b_b: refine432681134nres_b > ( b > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_45,type,
refine944483349t_unit: set_Pr451126599t_unit > refine787176636t_unit > refine787176636t_unit ).
thf(func_def_46,type,
refine2043866374unit_a: set_Pr1720557880unit_a > refine424419629nres_a > refine787176636t_unit ).
thf(func_def_47,type,
refine2043866375unit_b: set_Pr712638521unit_b > refine432681134nres_b > refine787176636t_unit ).
thf(func_def_48,type,
refine2021053540t_unit: set_Pr1628433942t_unit > refine787176636t_unit > refine424419629nres_a ).
thf(func_def_49,type,
refine1441824853un_a_a: set_Product_prod_a_a > refine424419629nres_a > refine424419629nres_a ).
thf(func_def_50,type,
refine1441824854un_a_b: set_Product_prod_a_b > refine432681134nres_b > refine424419629nres_a ).
thf(func_def_51,type,
refine2140306339t_unit: set_Pr1707992533t_unit > refine787176636t_unit > refine432681134nres_b ).
thf(func_def_52,type,
refine122110612un_b_a: set_Product_prod_b_a > refine424419629nres_a > refine432681134nres_b ).
thf(func_def_53,type,
refine122110613un_b_b: set_Product_prod_b_b > refine432681134nres_b > refine432681134nres_b ).
thf(func_def_54,type,
refine1001002027nres_a: refine424419629nres_a > a > $o ).
thf(func_def_55,type,
refine1001002028nres_b: refine432681134nres_b > b > $o ).
thf(func_def_56,type,
refine412683989fail_a: refine424419629nres_a > $o ).
thf(func_def_57,type,
refine412683990fail_b: refine432681134nres_b > $o ).
thf(func_def_58,type,
refine1198353288_RES_a: set_a > refine424419629nres_a ).
thf(func_def_59,type,
refine1198353289_RES_b: set_b > refine432681134nres_b ).
thf(func_def_60,type,
id_a: set_Product_prod_a_a ).
thf(func_def_61,type,
id_b: set_Product_prod_b_b ).
thf(func_def_62,type,
collect_a: ( a > $o ) > set_a ).
thf(func_def_63,type,
collect_b: ( b > $o ) > set_b ).
thf(func_def_64,type,
member449909584od_a_a: product_prod_a_a > set_Product_prod_a_a > $o ).
thf(func_def_65,type,
member458171089od_a_b: product_prod_a_b > set_Product_prod_a_b > $o ).
thf(func_def_66,type,
member1285940496od_b_b: product_prod_b_b > set_Product_prod_b_b > $o ).
thf(func_def_67,type,
member_a: a > set_a > $o ).
thf(func_def_68,type,
member_b: b > set_b > $o ).
thf(func_def_69,type,
r: set_Product_prod_a_b ).
thf(func_def_70,type,
x: refine424419629nres_a ).
thf(func_def_74,type,
vAND: $o > $o > $o ).
thf(func_def_75,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_76,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_77,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_78,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_79,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_80,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_81,type,
vIMP: $o > $o > $o ).
thf(func_def_82,type,
vNOT: $o > $o ).
thf(func_def_83,type,
sK0: refine432681134nres_b > ( refine432681134nres_b > $o ) > refine432681134nres_b ).
thf(func_def_84,type,
sK1: ( a > refine424419629nres_a ) > refine424419629nres_a > ( a > refine424419629nres_a ) > a ).
thf(func_def_85,type,
sK2: ( b > $o ) > set_b > b ).
thf(func_def_86,type,
sK3: ( refine424419629nres_a > $o ) > refine424419629nres_a > refine424419629nres_a ).
thf(func_def_87,type,
sK4: ( refine424419629nres_a > $o ) > ( refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(func_def_88,type,
sK5: ( refine432681134nres_b > refine424419629nres_a ) > refine432681134nres_b ).
thf(func_def_89,type,
sK6: ( refine432681134nres_b > refine424419629nres_a ) > refine432681134nres_b ).
thf(func_def_90,type,
sK7: ( refine424419629nres_a > refine432681134nres_b ) > refine424419629nres_a ).
thf(func_def_91,type,
sK8: ( refine424419629nres_a > refine432681134nres_b ) > refine424419629nres_a ).
thf(func_def_92,type,
sK9: set_Product_prod_a_b > set_a > set_b > a ).
thf(func_def_93,type,
sK10: ( b > $o ) > ( b > $o ) > b ).
thf(func_def_94,type,
sK11: ( refine432681134nres_b > refine424419629nres_a ) > refine432681134nres_b ).
thf(func_def_95,type,
sK12: ( refine432681134nres_b > refine424419629nres_a ) > refine432681134nres_b ).
thf(func_def_96,type,
sK13: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_97,type,
sK14: ( refine424419629nres_a > refine432681134nres_b ) > refine424419629nres_a ).
thf(func_def_98,type,
sK15: ( refine424419629nres_a > refine432681134nres_b ) > refine424419629nres_a ).
thf(func_def_99,type,
sK16: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_100,type,
sK17: set_b > set_Product_prod_b_b > set_b > b ).
thf(func_def_101,type,
sK18: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_102,type,
sK19: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_103,type,
sK20: ( refine432681134nres_b > refine424419629nres_a ) > refine432681134nres_b ).
thf(func_def_104,type,
sK21: ( refine432681134nres_b > refine424419629nres_a ) > refine432681134nres_b ).
thf(func_def_105,type,
sK22: refine424419629nres_a > ( a > refine432681134nres_b ) > ( a > refine432681134nres_b ) > a ).
thf(func_def_106,type,
sK23: ( a > $o ) > set_a > a ).
thf(func_def_107,type,
sK24: ( ( $o > refine424419629nres_a ) > $o > refine424419629nres_a ) > $o > refine424419629nres_a ).
thf(func_def_108,type,
sK25: ( ( $o > refine424419629nres_a ) > $o > refine424419629nres_a ) > $o > refine424419629nres_a ).
thf(func_def_109,type,
sK26: refine432681134nres_b > ( b > refine424419629nres_a ) > ( b > refine424419629nres_a ) > b ).
thf(func_def_110,type,
sK27: ( refine432681134nres_b > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_111,type,
sK28: ( refine432681134nres_b > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_112,type,
sK29: refine424419629nres_a > ( refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(func_def_113,type,
sK30: refine424419629nres_a > set_a ).
thf(func_def_114,type,
sK31: refine424419629nres_a > refine424419629nres_a > a ).
thf(func_def_115,type,
sK32: ( refine424419629nres_a > refine432681134nres_b ) > refine424419629nres_a ).
thf(func_def_116,type,
sK33: ( refine424419629nres_a > refine432681134nres_b ) > refine424419629nres_a ).
thf(func_def_117,type,
sK34: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_118,type,
sK35: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_119,type,
sK36: ( b > $o ) > ( b > $o ) > b ).
thf(func_def_120,type,
sK37: ( refine432681134nres_b > refine424419629nres_a ) > refine432681134nres_b ).
thf(func_def_121,type,
sK38: ( refine432681134nres_b > refine424419629nres_a ) > refine432681134nres_b ).
thf(func_def_122,type,
sK39: set_Product_prod_a_a > set_a > set_a > a ).
thf(func_def_123,type,
sK40: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_124,type,
sK41: ( b > refine432681134nres_b ) > ( b > refine432681134nres_b ) > refine432681134nres_b > b ).
thf(func_def_125,type,
sK42: refine432681134nres_b > ( refine432681134nres_b > $o ) > refine432681134nres_b ).
thf(func_def_126,type,
sK43: ( refine432681134nres_b > $o ) > ( refine432681134nres_b > $o ) > refine432681134nres_b ).
thf(func_def_127,type,
sK44: ( ( $o > refine424419629nres_a ) > $o > refine432681134nres_b ) > $o > refine424419629nres_a ).
thf(func_def_128,type,
sK45: ( ( $o > refine424419629nres_a ) > $o > refine432681134nres_b ) > $o > refine424419629nres_a ).
thf(func_def_129,type,
sK46: ( refine432681134nres_b > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_130,type,
sK47: ( refine432681134nres_b > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_131,type,
sK48: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_132,type,
sK49: refine424419629nres_a > refine424419629nres_a > a ).
thf(func_def_133,type,
sK50: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > $o ).
thf(func_def_134,type,
sK51: ( refine424419629nres_a > refine432681134nres_b ) > refine424419629nres_a ).
thf(func_def_135,type,
sK52: ( refine424419629nres_a > refine432681134nres_b ) > refine424419629nres_a ).
thf(func_def_136,type,
sK53: ( refine432681134nres_b > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_137,type,
sK54: ( refine432681134nres_b > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_138,type,
sK55: ( ( $o > refine424419629nres_a ) > set_a ) > $o > refine424419629nres_a ).
thf(func_def_139,type,
sK56: ( ( $o > refine424419629nres_a ) > set_a ) > $o > refine424419629nres_a ).
thf(func_def_140,type,
sK57: ( ( $o > refine424419629nres_a ) > set_b ) > $o > refine424419629nres_a ).
thf(func_def_141,type,
sK58: ( ( $o > refine424419629nres_a ) > set_b ) > $o > refine424419629nres_a ).
thf(func_def_142,type,
sK59: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_143,type,
sK60: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_144,type,
sK61: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_145,type,
sK62: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_146,type,
sK63: refine432681134nres_b > set_b ).
thf(func_def_147,type,
sK64: ( refine432681134nres_b > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_148,type,
sK65: ( refine432681134nres_b > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_149,type,
sK66: refine432681134nres_b > refine432681134nres_b > b ).
thf(f30,axiom,
! [X0: set_Product_prod_a_b] :
( ( refine1441824854un_a_b @ X0 @ top_to240090974nres_b )
= top_to231829469nres_a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_29_conc__fun__FAIL) ).
thf(f33,axiom,
! [X0: refine424419629nres_a] : ( ord_le519537037nres_a @ X0 @ top_to231829469nres_a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_32_nres__order__simps_I3_J) ).
thf(f137,axiom,
! [X0: refine424419629nres_a] : ( ord_le519537037nres_a @ X0 @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_136_dual__order_Orefl) ).
thf(f186,axiom,
! [X1: refine424419629nres_a,X2: refine424419629nres_a,X0: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X0 @ X1 )
=> ( ( ord_le519537037nres_a @ X1 @ X2 )
=> ( ord_le519537037nres_a @ X0 @ X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_185_order_Otrans) ).
thf(f363,conjecture,
ord_le519537037nres_a @ x @ ( refine1441824854un_a_b @ r @ top_to240090974nres_b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f364,negated_conjecture,
~ ( ord_le519537037nres_a @ x @ ( refine1441824854un_a_b @ r @ top_to240090974nres_b ) ),
inference(negated_conjecture,[status(cth)],[f363]) ).
thf(f573,plain,
~ ( ord_le519537037nres_a @ x @ ( refine1441824854un_a_b @ r @ top_to240090974nres_b ) ),
inference(rectify,[],[f364]) ).
thf(f574,plain,
( ( ord_le519537037nres_a @ x @ ( refine1441824854un_a_b @ r @ top_to240090974nres_b ) )
!= $true ),
inference(fool_elimination,[],[f573]) ).
thf(f589,plain,
! [X0: refine424419629nres_a,X1: refine424419629nres_a,X2: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X2 @ X0 )
=> ( ( ord_le519537037nres_a @ X0 @ X1 )
=> ( ord_le519537037nres_a @ X2 @ X1 ) ) ),
inference(rectify,[],[f186]) ).
thf(f590,plain,
! [X2: refine424419629nres_a,X1: refine424419629nres_a,X0: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ X2 @ X0 )
= $true )
=> ( ( ( ord_le519537037nres_a @ X0 @ X1 )
= $true )
=> ( ( ord_le519537037nres_a @ X2 @ X1 )
= $true ) ) ),
inference(fool_elimination,[],[f589]) ).
thf(f660,plain,
! [X0: refine424419629nres_a] : ( ord_le519537037nres_a @ X0 @ X0 ),
inference(rectify,[],[f137]) ).
thf(f661,plain,
! [X0: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X0 @ X0 )
= $true ),
inference(fool_elimination,[],[f660]) ).
thf(f918,plain,
! [X0: refine424419629nres_a] : ( ord_le519537037nres_a @ X0 @ top_to231829469nres_a ),
inference(rectify,[],[f33]) ).
thf(f919,plain,
! [X0: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X0 @ top_to231829469nres_a )
= $true ),
inference(fool_elimination,[],[f918]) ).
thf(f992,plain,
( ( ord_le519537037nres_a @ x @ ( refine1441824854un_a_b @ r @ top_to240090974nres_b ) )
!= $true ),
inference(flattening,[],[f574]) ).
thf(f1295,plain,
! [X2: refine424419629nres_a,X1: refine424419629nres_a,X0: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ X2 @ X1 )
= $true )
| ( ( ord_le519537037nres_a @ X0 @ X1 )
!= $true )
| ( ( ord_le519537037nres_a @ X2 @ X0 )
!= $true ) ),
inference(ennf_transformation,[],[f590]) ).
thf(f1296,plain,
! [X0: refine424419629nres_a,X1: refine424419629nres_a,X2: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ X0 @ X1 )
!= $true )
| ( ( ord_le519537037nres_a @ X2 @ X0 )
!= $true )
| ( ( ord_le519537037nres_a @ X2 @ X1 )
= $true ) ),
inference(flattening,[],[f1295]) ).
thf(f1656,plain,
! [X0: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X0 @ top_to231829469nres_a )
= $true ),
inference(cnf_transformation,[],[f919]) ).
thf(f1762,plain,
! [X0: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X0 @ X0 )
= $true ),
inference(cnf_transformation,[],[f661]) ).
thf(f1838,plain,
! [X2: refine424419629nres_a,X0: refine424419629nres_a,X1: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ X2 @ X1 )
= $true )
| ( ( ord_le519537037nres_a @ X0 @ X1 )
!= $true )
| ( ( ord_le519537037nres_a @ X2 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f1296]) ).
thf(f1940,plain,
! [X0: set_Product_prod_a_b] :
( top_to231829469nres_a
= ( refine1441824854un_a_b @ X0 @ top_to240090974nres_b ) ),
inference(cnf_transformation,[],[f30]) ).
thf(f1984,plain,
( ( ord_le519537037nres_a @ x @ ( refine1441824854un_a_b @ r @ top_to240090974nres_b ) )
!= $true ),
inference(cnf_transformation,[],[f992]) ).
thf(f2306,definition,
( spl67_3
<=> ( ( ord_le519537037nres_a @ x @ ( refine1441824854un_a_b @ r @ top_to240090974nres_b ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl67_3])],[avatar_definition]) ).
thf(f2308,plain,
( ( ( ord_le519537037nres_a @ x @ ( refine1441824854un_a_b @ r @ top_to240090974nres_b ) )
!= $true )
| spl67_3 ),
inference(avatar_component_clause,[],[f2306]) ).
thf(f2309,plain,
~ spl67_3,
inference(avatar_split_clause,[],[f1984,f2306]) ).
thf(f2476,plain,
( ! [X0: refine424419629nres_a] :
( ( $true != $true )
| ( ( ord_le519537037nres_a @ x @ X0 )
!= $true )
| ( ( ord_le519537037nres_a @ X0 @ ( refine1441824854un_a_b @ r @ top_to240090974nres_b ) )
!= $true ) )
| spl67_3 ),
inference(superposition,[],[f2308,f1838]) ).
thf(f2480,plain,
( ! [X0: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ X0 @ ( refine1441824854un_a_b @ r @ top_to240090974nres_b ) )
!= $true )
| ( ( ord_le519537037nres_a @ x @ X0 )
!= $true ) )
| spl67_3 ),
inference(trivial_inequality_removal,[],[f2476]) ).
thf(f2482,plain,
( ! [X0: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ x @ X0 )
!= $true )
| ( ( ord_le519537037nres_a @ X0 @ top_to231829469nres_a )
!= $true ) )
| spl67_3 ),
inference(forward_demodulation,[],[f2480,f1940]) ).
thf(f2549,plain,
( ( $true
!= ( ord_le519537037nres_a @ top_to231829469nres_a @ top_to231829469nres_a ) )
| ( $true != $true )
| spl67_3 ),
inference(superposition,[],[f2482,f1656]) ).
thf(f2551,plain,
( ( $true
!= ( ord_le519537037nres_a @ top_to231829469nres_a @ top_to231829469nres_a ) )
| spl67_3 ),
inference(trivial_inequality_removal,[],[f2549]) ).
thf(f2555,plain,
( $false
| spl67_3 ),
inference(forward_subsumption_resolution,[],[f2551,f1762]) ).
thf(f2556,plain,
spl67_3,
inference(avatar_contradiction_clause,[],[f2555]) ).
cnf(s3,plain,
~ spl67_3,
inference(sat_conversion,[],[f2309]) ).
cnf(s55,plain,
spl67_3,
inference(sat_conversion,[],[f2556]) ).
cnf(s57,plain,
$false,
inference(rat,[],[s3,s55]) ).
thf(f2557,plain,
$false,
inference(avatar_sat_refutation,[],[s57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP159^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n019.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 20:03:48 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.22/0.28 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.52/0.42 % (1277745)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.52/0.42 % (1277751)lrs+10_16_si=on:nwc=1.5:random_seed=1193189466:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.52/0.42 % (1277756)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.52/0.42 % (1277756)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.52/0.42 % (1277751)Instruction limit reached!
% 0.52/0.42 % (1277751)------------------------------
% 0.52/0.42 % (1277751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.42 % (1277751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.42 % (1277751)CaDiCaL version: 2.1.3
% 0.52/0.42 % (1277751)Termination reason: Instruction limit
% 0.52/0.42 % (1277751)Termination phase: shuffling
% 0.52/0.42 % (1277751)Time elapsed: 0.005 s
% 0.52/0.42 % (1277751)Peak memory usage: 10 MB
% 0.52/0.42 % (1277751)Instructions burned: 18 (million)
% 0.52/0.42 % (1277752)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2641860977:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.52/0.42 % (1277755)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=511496293:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.52/0.42 % (1277756)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=2769875602:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.52/0.42 % (1277754)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4142274705:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.52/0.42 % (1277750)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2922519419:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.52/0.42 % (1277752)Instruction limit reached!
% 0.52/0.42 % (1277752)------------------------------
% 0.52/0.42 % (1277752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.42 % (1277752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.42 % (1277752)CaDiCaL version: 2.1.3
% 0.52/0.42 % (1277752)Termination reason: Instruction limit
% 0.52/0.42 % (1277752)Termination phase: shuffling
% 0.52/0.42 % (1277752)Time elapsed: 0.003 s
% 0.52/0.42 % (1277752)Peak memory usage: 10 MB
% 0.52/0.42 % (1277752)Instructions burned: 7 (million)
% 0.52/0.42 % (1277753)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=3326837963:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.52/0.42 % (1277759)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2931279554:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.52/0.42 % (1277759)Instruction limit reached!
% 0.52/0.42 % (1277759)------------------------------
% 0.52/0.42 % (1277759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.42 % (1277759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.42 % (1277759)CaDiCaL version: 2.1.3
% 0.52/0.42 % (1277759)Termination reason: Instruction limit
% 0.52/0.42 % (1277759)Termination phase: shuffling
% 0.52/0.42 % (1277759)Time elapsed: 0.001 s
% 0.52/0.42 % (1277759)Peak memory usage: 10 MB
% 0.52/0.42 % (1277759)Instructions burned: 5 (million)
% 0.52/0.42 % (1277754)Instruction limit reached!
% 0.52/0.42 % (1277754)------------------------------
% 0.52/0.42 % (1277754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.42 % (1277754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.42 % (1277754)CaDiCaL version: 2.1.3
% 0.52/0.42 % (1277754)Termination reason: Instruction limit
% 0.52/0.42 % (1277754)Termination phase: Property scanning
% 0.52/0.42 % (1277754)Time elapsed: 0.012 s
% 0.52/0.42 % (1277754)Peak memory usage: 10 MB
% 0.52/0.42 % (1277754)Instructions burned: 26 (million)
% 0.52/0.42 % (1277765)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1877441046:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.52/0.42 % (1277768)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=969230853:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.52/0.42 % (1277765)Instruction limit reached!
% 0.52/0.42 % (1277765)------------------------------
% 0.52/0.42 % (1277765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.42 % (1277765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.42 % (1277765)CaDiCaL version: 2.1.3
% 0.52/0.42 % (1277765)Termination reason: Instruction limit
% 0.52/0.42 % (1277765)Termination phase: shuffling
% 0.52/0.42 % (1277765)Time elapsed: 0.003 s
% 0.52/0.42 % (1277765)Peak memory usage: 10 MB
% 0.52/0.42 % (1277765)Instructions burned: 6 (million)
% 0.52/0.42 % (1277768)Instruction limit reached!
% 0.52/0.42 % (1277768)------------------------------
% 0.52/0.42 % (1277768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.42 % (1277768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.42 % (1277768)CaDiCaL version: 2.1.3
% 0.52/0.42 % (1277768)Termination reason: Instruction limit
% 0.52/0.42 % (1277768)Termination phase: shuffling
% 0.52/0.42 % (1277768)Time elapsed: 0.003 s
% 0.52/0.42 % (1277768)Peak memory usage: 10 MB
% 0.52/0.42 % (1277768)Instructions burned: 13 (million)
% 0.52/0.42 % (1277767)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.52/0.42 % (1277767)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2698808444:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.52/0.42 % (1277755)Instruction limit reached!
% 0.52/0.42 % (1277755)------------------------------
% 0.52/0.42 % (1277755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.42 % (1277755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.42 % (1277755)CaDiCaL version: 2.1.3
% 0.52/0.42 % (1277755)Termination reason: Instruction limit
% 0.52/0.42 % (1277755)Termination phase: Property scanning
% 0.52/0.42 % (1277755)Time elapsed: 0.035 s
% 0.52/0.42 % (1277755)Peak memory usage: 12 MB
% 0.52/0.42 % (1277755)Instructions burned: 77 (million)
% 0.52/0.42 % (1277767)Instruction limit reached!
% 0.52/0.42 % (1277767)------------------------------
% 0.52/0.42 % (1277767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.42 % (1277767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.42 % (1277767)CaDiCaL version: 2.1.3
% 0.52/0.42 % (1277767)Termination reason: Instruction limit
% 0.52/0.42 % (1277767)Termination phase: shuffling
% 0.52/0.42 % (1277767)Time elapsed: 0.004 s
% 0.52/0.42 % (1277767)Peak memory usage: 10 MB
% 0.52/0.42 % (1277767)Instructions burned: 9 (million)
% 0.52/0.42 % (1277750)Instruction limit reached!
% 0.52/0.42 % (1277750)------------------------------
% 0.52/0.42 % (1277750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.42 % (1277750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.42 % (1277750)CaDiCaL version: 2.1.3
% 0.52/0.42 % (1277750)Termination reason: Instruction limit
% 0.52/0.42 % (1277750)Termination phase: Property scanning
% 0.52/0.42 % (1277750)Time elapsed: 0.040 s
% 0.52/0.42 % (1277750)Peak memory usage: 12 MB
% 0.52/0.42 % (1277750)Instructions burned: 90 (million)
% 0.52/0.42 % (1277772)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=2642434115:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.52/0.42 % (1277771)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.52/0.42 % (1277771)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.52/0.42 % (1277771)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=4266520342:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.52/0.42 % (1277775)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.52/0.42 % (1277774)lrs+10_1_si=on:cs=on:random_seed=3269698564:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.52/0.42 % (1277775)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=645921612:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.52/0.42 % (1277774)Instruction limit reached!
% 0.52/0.42 % (1277774)------------------------------
% 0.52/0.42 % (1277774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.42 % (1277774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.42 % (1277774)CaDiCaL version: 2.1.3
% 0.52/0.42 % (1277774)Termination reason: Instruction limit
% 0.52/0.42 % (1277774)Termination phase: shuffling
% 0.52/0.42 % (1277774)Time elapsed: 0.005 s
% 0.52/0.42 % (1277774)Peak memory usage: 10 MB
% 0.52/0.42 % (1277774)Instructions burned: 10 (million)
% 0.52/0.42 % (1277775)Instruction limit reached!
% 0.52/0.42 % (1277775)------------------------------
% 0.52/0.42 % (1277775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.42 % (1277775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.42 % (1277775)CaDiCaL version: 2.1.3
% 0.52/0.42 % (1277775)Termination reason: Instruction limit
% 0.52/0.42 % (1277775)Termination phase: shuffling
% 0.52/0.42 % (1277775)Time elapsed: 0.002 s
% 0.52/0.42 % (1277775)Peak memory usage: 10 MB
% 0.52/0.42 % (1277775)Instructions burned: 4 (million)
% 0.52/0.42 % (1277771)Instruction limit reached!
% 0.52/0.42 % (1277771)------------------------------
% 0.52/0.42 % (1277771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.42 % (1277771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.42 % (1277771)CaDiCaL version: 2.1.3
% 0.52/0.42 % (1277771)Termination reason: Instruction limit
% 0.52/0.42 % (1277771)Termination phase: shuffling
% 0.52/0.42 % (1277771)Time elapsed: 0.013 s
% 0.52/0.42 % (1277771)Peak memory usage: 11 MB
% 0.52/0.42 % (1277771)Instructions burned: 29 (million)
% 0.52/0.42 % (1277777)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1722460802:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.52/0.42 % (1277772)Instruction limit reached!
% 0.52/0.42 % (1277772)------------------------------
% 0.52/0.42 % (1277772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.42 % (1277772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.42 % (1277772)CaDiCaL version: 2.1.3
% 0.52/0.42 % (1277772)Termination reason: Instruction limit
% 0.52/0.42 % (1277772)Termination phase: Property scanning
% 0.52/0.42 % (1277772)Time elapsed: 0.020 s
% 0.52/0.42 % (1277772)Peak memory usage: 11 MB
% 0.52/0.42 % (1277772)Instructions burned: 88 (million)
% 0.52/0.42 % (1277756)Instruction limit reached!
% 0.52/0.42 % (1277756)------------------------------
% 0.52/0.42 % (1277756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.42 % (1277756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.42 % (1277756)CaDiCaL version: 2.1.3
% 0.52/0.42 % (1277756)Termination reason: Instruction limit
% 0.52/0.42 % (1277756)Termination phase: Saturation
% 0.52/0.42 % (1277756)Time elapsed: 0.067 s
% 0.52/0.42 % (1277756)Peak memory usage: 14 MB
% 0.52/0.42 % (1277756)Instructions burned: 157 (million)
% 0.52/0.42 % (1277753) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1277745-1277753"...
% 0.52/0.42 % (1277788)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3614891401:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.52/0.42 % (1277753)...printing done.
% 0.52/0.42 % (1277753)Refutation found. Thanks to Tanya!
% 0.52/0.42 % SZS status Theorem for theBenchmark
% 0.52/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.52/0.42 % (1277753)------------------------------
% 0.52/0.42 % (1277753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.42 % (1277753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.42 % (1277753)CaDiCaL version: 2.1.3
% 0.52/0.42 % (1277753)Termination reason: Refutation
% 0.52/0.42 % (1277753)Time elapsed: 0.070 s
% 0.52/0.42 % (1277753)Peak memory usage: 14 MB
% 0.52/0.42 % (1277753)Instructions burned: 144 (million)
% 0.52/0.42 % (1277745)Success in time 0.128 s
% 0.52/0.42 % Vampire exiting
%------------------------------------------------------------------------------