%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP040^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 08:10:28 AM UTC 2026
% Result : ContradictoryAxioms 0.87s 0.38s
% Output : Refutation 0.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 25 ( 16 unt; 0 typ; 1 def)
% Number of atoms : 66 ( 16 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 98 ( 11 ~; 5 |; 0 &; 78 @)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 34 ( 33 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 330 ( 327 usr; 21 con; 0-4 aty)
% Number of variables : 15 ( 0 sgn 15 !; 0 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_re844416664real_c: $tType ).
thf(type_def_6,type,
set_re1692486081real_c: $tType ).
thf(type_def_7,type,
set_Pr1389752855real_c: $tType ).
thf(type_def_8,type,
produc190496183real_c: $tType ).
thf(type_def_9,type,
set_re1812065969um_c_d: $tType ).
thf(type_def_10,type,
set_re366411824um_c_c: $tType ).
thf(type_def_11,type,
produc214722967um_c_c: $tType ).
thf(type_def_12,type,
set_c_655950471real_c: $tType ).
thf(type_def_13,type,
set_re141277793al_c_c: $tType ).
thf(type_def_14,type,
set_re2066790124real_c: $tType ).
thf(type_def_15,type,
denota231621370t_unit: $tType ).
thf(type_def_16,type,
set_Su1997276704um_c_c: $tType ).
thf(type_def_17,type,
set_Su1008197536um_c_d: $tType ).
thf(type_def_18,type,
set_Su1710027039um_c_c: $tType ).
thf(type_def_19,type,
set_Fi1407883041real_c: $tType ).
thf(type_def_20,type,
set_c_Sum_sum_c_d: $tType ).
thf(type_def_21,type,
set_c_Sum_sum_c_c: $tType ).
thf(type_def_22,type,
set_Sum_sum_c_d_c: $tType ).
thf(type_def_23,type,
set_Sum_sum_c_c_c: $tType ).
thf(type_def_24,type,
finite1398487019real_c: $tType ).
thf(type_def_25,type,
produc957004601l_real: $tType ).
thf(type_def_26,type,
set_Sum_sum_c_d: $tType ).
thf(type_def_27,type,
set_Sum_sum_c_c: $tType ).
thf(type_def_28,type,
formula_a_b_c: $tType ).
thf(type_def_29,type,
sum_sum_c_d: $tType ).
thf(type_def_30,type,
sum_sum_c_c: $tType ).
thf(type_def_31,type,
set_c_c: $tType ).
thf(type_def_32,type,
oDE_a_c: $tType ).
thf(type_def_33,type,
set_real: $tType ).
thf(type_def_34,type,
set_c: $tType ).
thf(type_def_35,type,
real: $tType ).
thf(type_def_36,type,
d: $tType ).
thf(type_def_37,type,
c: $tType ).
thf(type_def_38,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
coinci501627771_a_b_c: formula_a_b_c > $o ).
thf(func_def_1,type,
denota1275485728_a_b_c: denota231621370t_unit > oDE_a_c > finite1398487019real_c > finite1398487019real_c ).
thf(func_def_2,type,
denota540094197_a_b_c: denota231621370t_unit > oDE_a_c > set_c ).
thf(func_def_3,type,
denota256060419gree_c: finite1398487019real_c > finite1398487019real_c > set_c > $o ).
thf(func_def_4,type,
denota1997846518gree_c: produc190496183real_c > produc190496183real_c > set_Sum_sum_c_c > $o ).
thf(func_def_5,type,
denota310462944_a_b_c: denota231621370t_unit > oDE_a_c > produc190496183real_c > finite1398487019real_c > produc190496183real_c ).
thf(func_def_6,type,
denota968303861_a_b_c: denota231621370t_unit > formula_a_b_c > set_Pr1389752855real_c ).
thf(func_def_7,type,
denota161327353_a_b_c: denota231621370t_unit > oDE_a_c > produc190496183real_c > finite1398487019real_c > produc190496183real_c ).
thf(func_def_8,type,
denota1896987029_a_b_c: denota231621370t_unit > oDE_a_c > finite1398487019real_c > produc190496183real_c ).
thf(func_def_9,type,
denotational_repd_c: produc190496183real_c > c > real > produc190496183real_c ).
thf(func_def_10,type,
denota1293057250_a_b_c: denota231621370t_unit > oDE_a_c > set_Sum_sum_c_c ).
thf(func_def_11,type,
finite557796307c_real: ( c > real ) > finite1398487019real_c ).
thf(func_def_12,type,
finite772340578real_c: finite1398487019real_c > c > real ).
thf(func_def_13,type,
pi_rea1386151481real_c: set_re2066790124real_c > ( ( real > finite1398487019real_c ) > set_re2066790124real_c ) > set_re1692486081real_c ).
thf(func_def_14,type,
pi_rea1379668980real_c: set_re2066790124real_c > ( ( real > finite1398487019real_c ) > set_Pr1389752855real_c ) > set_re844416664real_c ).
thf(func_def_15,type,
pi_rea1500330408um_c_c: set_re2066790124real_c > ( ( real > finite1398487019real_c ) > set_Sum_sum_c_c ) > set_re366411824um_c_c ).
thf(func_def_16,type,
pi_rea1508591913um_c_d: set_re2066790124real_c > ( ( real > finite1398487019real_c ) > set_Sum_sum_c_d ) > set_re1812065969um_c_d ).
thf(func_def_17,type,
pi_rea1228756413al_c_c: set_re2066790124real_c > ( ( real > finite1398487019real_c ) > set_c ) > set_re141277793al_c_c ).
thf(func_def_18,type,
pi_rea1111636068real_c: set_real > ( real > set_Fi1407883041real_c ) > set_re2066790124real_c ).
thf(func_def_19,type,
pi_Sum253006871um_c_c: set_Sum_sum_c_c > ( sum_sum_c_c > set_Sum_sum_c_c ) > set_Su1710027039um_c_c ).
thf(func_def_20,type,
pi_Sum261268376um_c_d: set_Sum_sum_c_c > ( sum_sum_c_c > set_Sum_sum_c_d ) > set_Su1008197536um_c_d ).
thf(func_def_21,type,
pi_Sum_sum_c_c_c: set_Sum_sum_c_c > ( sum_sum_c_c > set_c ) > set_Sum_sum_c_c_c ).
thf(func_def_22,type,
pi_Sum1145067928um_c_c: set_Sum_sum_c_d > ( sum_sum_c_d > set_Sum_sum_c_c ) > set_Su1997276704um_c_c ).
thf(func_def_23,type,
pi_Sum_sum_c_d_c: set_Sum_sum_c_d > ( sum_sum_c_d > set_c ) > set_Sum_sum_c_d_c ).
thf(func_def_24,type,
pi_c_r41638571real_c: set_c > ( c > set_re2066790124real_c ) > set_c_655950471real_c ).
thf(func_def_25,type,
pi_c_Sum_sum_c_c: set_c > ( c > set_Sum_sum_c_c ) > set_c_Sum_sum_c_c ).
thf(func_def_26,type,
pi_c_Sum_sum_c_d: set_c > ( c > set_Sum_sum_c_d ) > set_c_Sum_sum_c_d ).
thf(func_def_27,type,
pi_c_c: set_c > ( c > set_c ) > set_c_c ).
thf(func_def_28,type,
uminus1756072592al_c_o: ( ( real > finite1398487019real_c ) > $o ) > ( real > finite1398487019real_c ) > $o ).
thf(func_def_29,type,
uminus23580315al_c_o: ( finite1398487019real_c > $o ) > finite1398487019real_c > $o ).
thf(func_def_30,type,
uminus32155087al_c_o: ( produc190496183real_c > $o ) > produc190496183real_c > $o ).
thf(func_def_31,type,
uminus88729697_c_c_o: ( sum_sum_c_c > $o ) > sum_sum_c_c > $o ).
thf(func_def_32,type,
uminus916499104_c_d_o: ( sum_sum_c_d > $o ) > sum_sum_c_d > $o ).
thf(func_def_33,type,
uminus_uminus_c_o: ( c > $o ) > c > $o ).
thf(func_def_34,type,
uminus1737280820real_c: finite1398487019real_c > finite1398487019real_c ).
thf(func_def_35,type,
uminus17964590real_c: produc190496183real_c > produc190496183real_c ).
thf(func_def_36,type,
uminus1225118734um_c_c: produc214722967um_c_c > produc214722967um_c_c ).
thf(func_def_37,type,
uminus_uminus_real: real > real ).
thf(func_def_38,type,
uminus946614837real_c: set_re2066790124real_c > set_re2066790124real_c ).
thf(func_def_39,type,
uminus102402154real_c: set_Fi1407883041real_c > set_Fi1407883041real_c ).
thf(func_def_40,type,
uminus232257166real_c: set_Pr1389752855real_c > set_Pr1389752855real_c ).
thf(func_def_41,type,
uminus1381786404um_c_c: set_Sum_sum_c_c > set_Sum_sum_c_c ).
thf(func_def_42,type,
uminus373867045um_c_d: set_Sum_sum_c_d > set_Sum_sum_c_d ).
thf(func_def_43,type,
uminus_uminus_set_c: set_c > set_c ).
thf(func_def_44,type,
zero_z109254132real_c: finite1398487019real_c ).
thf(func_def_45,type,
zero_z1506780526real_c: produc190496183real_c ).
thf(func_def_46,type,
zero_z659284464l_real: produc957004601l_real ).
thf(func_def_47,type,
zero_zero_real: real ).
thf(func_def_48,type,
if_Fin36944805real_c: $o > finite1398487019real_c > finite1398487019real_c > finite1398487019real_c ).
thf(func_def_49,type,
if_real: $o > real > real > real ).
thf(func_def_50,type,
initia1631504802real_c: ( real > finite1398487019real_c ) > ( real > finite1398487019real_c > finite1398487019real_c ) > set_real > set_Fi1407883041real_c > $o ).
thf(func_def_51,type,
ord_le818951225al_c_o: ( ( real > finite1398487019real_c ) > $o ) > ( ( real > finite1398487019real_c ) > $o ) > $o ).
thf(func_def_52,type,
ord_le1132241894al_c_o: ( produc190496183real_c > $o ) > ( produc190496183real_c > $o ) > $o ).
thf(func_def_53,type,
ord_le584953750real_c: ( real > finite1398487019real_c ) > ( real > finite1398487019real_c ) > $o ).
thf(func_def_54,type,
ord_le1315653386_c_c_o: ( sum_sum_c_c > $o ) > ( sum_sum_c_c > $o ) > $o ).
thf(func_def_55,type,
ord_le2143422793_c_d_o: ( sum_sum_c_d > $o ) > ( sum_sum_c_d > $o ) > $o ).
thf(func_def_56,type,
ord_less_eq_c_o: ( c > $o ) > ( c > $o ) > $o ).
thf(func_def_57,type,
ord_le775706699real_c: finite1398487019real_c > finite1398487019real_c > $o ).
thf(func_def_58,type,
ord_le850691415real_c: produc190496183real_c > produc190496183real_c > $o ).
thf(func_def_59,type,
ord_le1342644953l_real: produc957004601l_real > produc957004601l_real > $o ).
thf(func_def_60,type,
ord_less_eq_real: real > real > $o ).
thf(func_def_61,type,
ord_le35002188real_c: set_re2066790124real_c > set_re2066790124real_c > $o ).
thf(func_def_62,type,
ord_le1327118209real_c: set_Fi1407883041real_c > set_Fi1407883041real_c > $o ).
thf(func_def_63,type,
ord_le977353143real_c: set_Pr1389752855real_c > set_Pr1389752855real_c > $o ).
thf(func_def_64,type,
ord_less_eq_set_real: set_real > set_real > $o ).
thf(func_def_65,type,
ord_le1772180283um_c_c: set_Sum_sum_c_c > set_Sum_sum_c_c > $o ).
thf(func_def_66,type,
ord_le764260924um_c_d: set_Sum_sum_c_d > set_Sum_sum_c_d > $o ).
thf(func_def_67,type,
ord_less_eq_set_c: set_c > set_c > $o ).
thf(func_def_68,type,
produc394644079real_c: finite1398487019real_c > finite1398487019real_c > produc190496183real_c ).
thf(func_def_69,type,
produc705216881l_real: real > real > produc957004601l_real ).
thf(func_def_70,type,
produc1439061071um_c_c: set_Sum_sum_c_c > set_Sum_sum_c_c > produc214722967um_c_c ).
thf(func_def_71,type,
produc2010422875real_c: produc190496183real_c > finite1398487019real_c ).
thf(func_def_72,type,
produc1422991709l_real: produc957004601l_real > real ).
thf(func_def_73,type,
produc1983230011um_c_c: produc214722967um_c_c > set_Sum_sum_c_c ).
thf(func_def_74,type,
produc314122909real_c: produc190496183real_c > finite1398487019real_c ).
thf(func_def_75,type,
produc1407670175l_real: produc957004601l_real > real ).
thf(func_def_76,type,
produc1132019837um_c_c: produc214722967um_c_c > set_Sum_sum_c_c ).
thf(func_def_77,type,
collec913357835real_c: ( ( real > finite1398487019real_c ) > $o ) > set_re2066790124real_c ).
thf(func_def_78,type,
collec230941376real_c: ( finite1398487019real_c > $o ) > set_Fi1407883041real_c ).
thf(func_def_79,type,
collec1643251106real_c: ( produc190496183real_c > $o ) > set_Pr1389752855real_c ).
thf(func_def_80,type,
collect_Sum_sum_c_c: ( sum_sum_c_c > $o ) > set_Sum_sum_c_c ).
thf(func_def_81,type,
collect_Sum_sum_c_d: ( sum_sum_c_d > $o ) > set_Sum_sum_c_d ).
thf(func_def_82,type,
collect_c: ( c > $o ) > set_c ).
thf(func_def_83,type,
image_266490115al_c_c: ( ( real > finite1398487019real_c ) > c ) > set_re2066790124real_c > set_c ).
thf(func_def_84,type,
image_1260608398al_c_c: ( finite1398487019real_c > c ) > set_Fi1407883041real_c > set_c ).
thf(func_def_85,type,
image_327677598real_c: ( real > finite1398487019real_c ) > set_real > set_Fi1407883041real_c ).
thf(func_def_86,type,
image_real_real: ( real > real ) > set_real > set_real ).
thf(func_def_87,type,
image_666880337um_c_c: ( sum_sum_c_c > sum_sum_c_c ) > set_Sum_sum_c_c > set_Sum_sum_c_c ).
thf(func_def_88,type,
image_675141842um_c_d: ( sum_sum_c_c > sum_sum_c_d ) > set_Sum_sum_c_c > set_Sum_sum_c_d ).
thf(func_def_89,type,
image_Sum_sum_c_c_c: ( sum_sum_c_c > c ) > set_Sum_sum_c_c > set_c ).
thf(func_def_90,type,
image_1558941394um_c_c: ( sum_sum_c_d > sum_sum_c_c ) > set_Sum_sum_c_d > set_Sum_sum_c_c ).
thf(func_def_91,type,
image_1567202899um_c_d: ( sum_sum_c_d > sum_sum_c_d ) > set_Sum_sum_c_d > set_Sum_sum_c_d ).
thf(func_def_92,type,
image_Sum_sum_c_d_c: ( sum_sum_c_d > c ) > set_Sum_sum_c_d > set_c ).
thf(func_def_93,type,
image_1226855921real_c: ( c > real > finite1398487019real_c ) > set_c > set_re2066790124real_c ).
thf(func_def_94,type,
image_687300774real_c: ( c > finite1398487019real_c ) > set_c > set_Fi1407883041real_c ).
thf(func_def_95,type,
image_c_Sum_sum_c_c: ( c > sum_sum_c_c ) > set_c > set_Sum_sum_c_c ).
thf(func_def_96,type,
image_c_Sum_sum_c_d: ( c > sum_sum_c_d ) > set_c > set_Sum_sum_c_d ).
thf(func_def_97,type,
image_c_c: ( c > c ) > set_c > set_c ).
thf(func_def_98,type,
set_or1308937537real_c: ( real > finite1398487019real_c ) > ( real > finite1398487019real_c ) > set_re2066790124real_c ).
thf(func_def_99,type,
set_or385782508real_c: produc190496183real_c > produc190496183real_c > set_Pr1389752855real_c ).
thf(func_def_100,type,
set_or656347191t_real: real > real > set_real ).
thf(func_def_101,type,
static_BVO_a_c: oDE_a_c > set_Sum_sum_c_c ).
thf(func_def_102,type,
static_FVF_a_b_c: formula_a_b_c > set_Sum_sum_c_c ).
thf(func_def_103,type,
static_FVO_a_c: oDE_a_c > set_c ).
thf(func_def_104,type,
sum_Inl_c_c: c > sum_sum_c_c ).
thf(func_def_105,type,
sum_Inl_c_d: c > sum_sum_c_d ).
thf(func_def_106,type,
sum_Inr_c_c: c > sum_sum_c_c ).
thf(func_def_107,type,
sum_Inr_d_c: d > sum_sum_c_d ).
thf(func_def_108,type,
equiv_a_b_c: formula_a_b_c > formula_a_b_c > formula_a_b_c ).
thf(func_def_109,type,
fsafe_a_b_c: formula_a_b_c > $o ).
thf(func_def_110,type,
osafe_a_c: oDE_a_c > $o ).
thf(func_def_111,type,
member1851015714real_c: ( ( real > finite1398487019real_c ) > real > finite1398487019real_c ) > set_re1692486081real_c > $o ).
thf(func_def_112,type,
member954762593real_c: ( ( real > finite1398487019real_c ) > produc190496183real_c ) > set_re844416664real_c > $o ).
thf(func_def_113,type,
member354622481um_c_c: ( ( real > finite1398487019real_c ) > sum_sum_c_c ) > set_re366411824um_c_c > $o ).
thf(func_def_114,type,
member1494186770um_c_d: ( ( real > finite1398487019real_c ) > sum_sum_c_d ) > set_re1812065969um_c_d > $o ).
thf(func_def_115,type,
member527957930al_c_c: ( ( real > finite1398487019real_c ) > c ) > set_re141277793al_c_c > $o ).
thf(func_def_116,type,
member1321351885real_c: ( real > finite1398487019real_c ) > set_re2066790124real_c > $o ).
thf(func_def_117,type,
member1326674048um_c_c: ( sum_sum_c_c > sum_sum_c_c ) > set_Su1710027039um_c_c > $o ).
thf(func_def_118,type,
member318754689um_c_d: ( sum_sum_c_c > sum_sum_c_d ) > set_Su1008197536um_c_d > $o ).
thf(func_def_119,type,
member_Sum_sum_c_c_c: ( sum_sum_c_c > c ) > set_Sum_sum_c_c_c > $o ).
thf(func_def_120,type,
member71251457um_c_c: ( sum_sum_c_d > sum_sum_c_c ) > set_Su1997276704um_c_c > $o ).
thf(func_def_121,type,
member_Sum_sum_c_d_c: ( sum_sum_c_d > c ) > set_Sum_sum_c_d_c > $o ).
thf(func_def_122,type,
member469531344real_c: ( c > real > finite1398487019real_c ) > set_c_655950471real_c > $o ).
thf(func_def_123,type,
member_c_Sum_sum_c_c: ( c > sum_sum_c_c ) > set_c_Sum_sum_c_c > $o ).
thf(func_def_124,type,
member_c_Sum_sum_c_d: ( c > sum_sum_c_d ) > set_c_Sum_sum_c_d > $o ).
thf(func_def_125,type,
member_c_c: ( c > c ) > set_c_c > $o ).
thf(func_def_126,type,
member1261661570real_c: finite1398487019real_c > set_Fi1407883041real_c > $o ).
thf(func_def_127,type,
member1895684704real_c: produc190496183real_c > set_Pr1389752855real_c > $o ).
thf(func_def_128,type,
member_real: real > set_real > $o ).
thf(func_def_129,type,
member_Sum_sum_c_c: sum_sum_c_c > set_Sum_sum_c_c > $o ).
thf(func_def_130,type,
member_Sum_sum_c_d: sum_sum_c_d > set_Sum_sum_c_d > $o ).
thf(func_def_131,type,
member_c: c > set_c > $o ).
thf(func_def_132,type,
i: denota231621370t_unit ).
thf(func_def_133,type,
ode: oDE_a_c ).
thf(func_def_134,type,
oDEa: oDE_a_c ).
thf(func_def_135,type,
p: formula_a_b_c ).
thf(func_def_136,type,
phi: formula_a_b_c ).
thf(func_def_137,type,
aa: finite1398487019real_c ).
thf(func_def_138,type,
ab: finite1398487019real_c ).
thf(func_def_139,type,
ba: finite1398487019real_c ).
thf(func_def_140,type,
bb: finite1398487019real_c ).
thf(func_def_141,type,
i2: c ).
thf(func_def_142,type,
sol: real > finite1398487019real_c ).
thf(func_def_143,type,
t: real ).
thf(func_def_144,type,
x: real ).
thf(func_def_148,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_149,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_150,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_151,type,
vAND: $o > $o > $o ).
thf(func_def_152,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_153,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_154,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_155,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_156,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_157,type,
vIMP: $o > $o > $o ).
thf(func_def_158,type,
vOR: $o > $o > $o ).
thf(func_def_159,type,
vNOT: $o > $o ).
thf(func_def_160,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_161,type,
sK0: ( produc190496183real_c > $o ) > finite1398487019real_c ).
thf(func_def_162,type,
sK1: ( produc190496183real_c > $o ) > finite1398487019real_c ).
thf(func_def_163,type,
sK2: produc190496183real_c > finite1398487019real_c ).
thf(func_def_164,type,
sK3: produc190496183real_c > finite1398487019real_c ).
thf(func_def_165,type,
sK4: ( produc190496183real_c > $o ) > finite1398487019real_c ).
thf(func_def_166,type,
sK5: ( produc190496183real_c > $o ) > finite1398487019real_c ).
thf(func_def_167,type,
sK6: produc190496183real_c > finite1398487019real_c ).
thf(func_def_168,type,
sK7: produc190496183real_c > finite1398487019real_c ).
thf(func_def_169,type,
sK8: ( finite1398487019real_c > $o ) > ( finite1398487019real_c > $o ) > finite1398487019real_c ).
thf(func_def_170,type,
sK9: ( c > $o ) > ( c > $o ) > c ).
thf(func_def_171,type,
sK10: finite1398487019real_c > oDE_a_c > denota231621370t_unit > produc190496183real_c > produc190496183real_c ).
thf(func_def_172,type,
sK11: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).
thf(func_def_173,type,
sK12: set_c > set_c > c ).
thf(func_def_174,type,
sK13: set_Sum_sum_c_d > set_Sum_sum_c_d > sum_sum_c_d ).
thf(func_def_175,type,
sK14: set_Pr1389752855real_c > set_Pr1389752855real_c > produc190496183real_c ).
thf(func_def_176,type,
sK15: set_re2066790124real_c > set_re2066790124real_c > real > finite1398487019real_c ).
thf(func_def_177,type,
sK16: ( sum_sum_c_c > $o ) > set_c > ( c > sum_sum_c_c ) > c ).
thf(func_def_178,type,
sK17: ( sum_sum_c_d > $o ) > set_c > ( c > sum_sum_c_d ) > c ).
thf(func_def_179,type,
sK18: ( c > sum_sum_c_c ) > ( c > sum_sum_c_c ) > set_c > c ).
thf(func_def_180,type,
sK19: ( c > sum_sum_c_d ) > ( c > sum_sum_c_d ) > set_c > c ).
thf(func_def_181,type,
sK20: ( sum_sum_c_c > $o ) > set_c > ( c > sum_sum_c_c ) > sum_sum_c_c ).
thf(func_def_182,type,
sK21: ( sum_sum_c_d > $o ) > set_c > ( c > sum_sum_c_d ) > sum_sum_c_d ).
thf(func_def_183,type,
sK22: ( finite1398487019real_c > $o ) > ( finite1398487019real_c > $o ) > finite1398487019real_c ).
thf(func_def_184,type,
sK23: ( c > $o ) > ( c > $o ) > c ).
thf(func_def_185,type,
sK24: set_c > ( c > c ) > c > c ).
thf(func_def_186,type,
sK25: set_c > ( c > sum_sum_c_c ) > sum_sum_c_c > c ).
thf(func_def_187,type,
sK26: set_Sum_sum_c_c > ( sum_sum_c_c > c ) > c > sum_sum_c_c ).
thf(func_def_188,type,
sK27: set_Sum_sum_c_d > ( sum_sum_c_d > c ) > c > sum_sum_c_d ).
thf(func_def_189,type,
sK28: set_c > ( c > sum_sum_c_d ) > sum_sum_c_d > c ).
thf(func_def_190,type,
sK29: set_Sum_sum_c_c > ( sum_sum_c_c > sum_sum_c_c ) > sum_sum_c_c > sum_sum_c_c ).
thf(func_def_191,type,
sK30: set_Sum_sum_c_d > ( sum_sum_c_d > sum_sum_c_c ) > sum_sum_c_c > sum_sum_c_d ).
thf(func_def_192,type,
sK31: set_re2066790124real_c > ( ( real > finite1398487019real_c ) > c ) > c > real > finite1398487019real_c ).
thf(func_def_193,type,
sK32: set_Sum_sum_c_c > ( sum_sum_c_c > sum_sum_c_d ) > sum_sum_c_d > sum_sum_c_c ).
thf(func_def_194,type,
sK33: set_Sum_sum_c_d > ( sum_sum_c_d > sum_sum_c_d ) > sum_sum_c_d > sum_sum_c_d ).
thf(func_def_195,type,
sK34: set_c > ( c > c ) > set_c > c ).
thf(func_def_196,type,
sK35: set_c > ( sum_sum_c_c > c ) > set_Sum_sum_c_c > sum_sum_c_c ).
thf(func_def_197,type,
sK36: set_Sum_sum_c_c > ( c > sum_sum_c_c ) > set_c > c ).
thf(func_def_198,type,
sK37: set_Sum_sum_c_d > ( c > sum_sum_c_d ) > set_c > c ).
thf(func_def_199,type,
sK38: set_c > ( sum_sum_c_d > c ) > set_Sum_sum_c_d > sum_sum_c_d ).
thf(func_def_200,type,
sK39: set_Sum_sum_c_c > ( sum_sum_c_c > sum_sum_c_c ) > set_Sum_sum_c_c > sum_sum_c_c ).
thf(func_def_201,type,
sK40: set_Sum_sum_c_d > ( sum_sum_c_c > sum_sum_c_d ) > set_Sum_sum_c_c > sum_sum_c_c ).
thf(func_def_202,type,
sK41: set_re2066790124real_c > ( c > real > finite1398487019real_c ) > set_c > c ).
thf(func_def_203,type,
sK42: set_Sum_sum_c_c > ( sum_sum_c_d > sum_sum_c_c ) > set_Sum_sum_c_d > sum_sum_c_d ).
thf(func_def_204,type,
sK43: set_Sum_sum_c_d > ( sum_sum_c_d > sum_sum_c_d ) > set_Sum_sum_c_d > sum_sum_c_d ).
thf(func_def_205,type,
sK44: set_c > ( c > sum_sum_c_c ) > set_Sum_sum_c_c > set_c ).
thf(func_def_206,type,
sK45: set_c > ( c > sum_sum_c_d ) > set_Sum_sum_c_d > set_c ).
thf(func_def_207,type,
sK46: ( c > set_c ) > ( c > c ) > set_c > c ).
thf(func_def_208,type,
sK47: ( real > set_Fi1407883041real_c ) > ( real > finite1398487019real_c ) > set_real > real ).
thf(func_def_209,type,
sK48: ( sum_sum_c_c > set_c ) > ( sum_sum_c_c > c ) > set_Sum_sum_c_c > sum_sum_c_c ).
thf(func_def_210,type,
sK49: ( c > set_Sum_sum_c_c ) > ( c > sum_sum_c_c ) > set_c > c ).
thf(func_def_211,type,
sK50: ( c > set_Sum_sum_c_d ) > ( c > sum_sum_c_d ) > set_c > c ).
thf(func_def_212,type,
sK51: ( sum_sum_c_d > set_c ) > ( sum_sum_c_d > c ) > set_Sum_sum_c_d > sum_sum_c_d ).
thf(func_def_213,type,
sK52: ( sum_sum_c_c > set_Sum_sum_c_c ) > ( sum_sum_c_c > sum_sum_c_c ) > set_Sum_sum_c_c > sum_sum_c_c ).
thf(func_def_214,type,
sK53: ( sum_sum_c_c > set_Sum_sum_c_d ) > ( sum_sum_c_c > sum_sum_c_d ) > set_Sum_sum_c_c > sum_sum_c_c ).
thf(func_def_215,type,
sK54: ( c > set_re2066790124real_c ) > ( c > real > finite1398487019real_c ) > set_c > c ).
thf(func_def_216,type,
sK55: ( sum_sum_c_d > set_Sum_sum_c_c ) > ( sum_sum_c_d > sum_sum_c_c ) > set_Sum_sum_c_d > sum_sum_c_d ).
thf(func_def_217,type,
sK56: ( c > set_c ) > ( c > c ) > set_c > c ).
thf(func_def_218,type,
sK57: ( real > set_Fi1407883041real_c ) > ( real > finite1398487019real_c ) > set_real > real ).
thf(func_def_219,type,
sK58: ( sum_sum_c_c > set_c ) > ( sum_sum_c_c > c ) > set_Sum_sum_c_c > sum_sum_c_c ).
thf(func_def_220,type,
sK59: ( c > set_Sum_sum_c_c ) > ( c > sum_sum_c_c ) > set_c > c ).
thf(func_def_221,type,
sK60: ( c > set_Sum_sum_c_d ) > ( c > sum_sum_c_d ) > set_c > c ).
thf(func_def_222,type,
sK61: ( sum_sum_c_d > set_c ) > ( sum_sum_c_d > c ) > set_Sum_sum_c_d > sum_sum_c_d ).
thf(func_def_223,type,
sK62: ( sum_sum_c_c > set_Sum_sum_c_c ) > ( sum_sum_c_c > sum_sum_c_c ) > set_Sum_sum_c_c > sum_sum_c_c ).
thf(func_def_224,type,
sK63: ( sum_sum_c_c > set_Sum_sum_c_d ) > ( sum_sum_c_c > sum_sum_c_d ) > set_Sum_sum_c_c > sum_sum_c_c ).
thf(func_def_225,type,
sK64: ( c > set_re2066790124real_c ) > ( c > real > finite1398487019real_c ) > set_c > c ).
thf(func_def_226,type,
sK65: ( sum_sum_c_d > set_Sum_sum_c_c ) > ( sum_sum_c_d > sum_sum_c_c ) > set_Sum_sum_c_d > sum_sum_c_d ).
thf(func_def_227,type,
sK66: ( real > finite1398487019real_c ) > ( real > finite1398487019real_c ) > set_real > real ).
thf(func_def_228,type,
sK67: set_c > ( c > c ) > set_c > c ).
thf(func_def_229,type,
sK68: set_Fi1407883041real_c > ( real > finite1398487019real_c ) > set_real > real ).
thf(func_def_230,type,
sK69: set_c > ( sum_sum_c_c > c ) > set_Sum_sum_c_c > sum_sum_c_c ).
thf(func_def_231,type,
sK70: set_Sum_sum_c_c > ( c > sum_sum_c_c ) > set_c > c ).
thf(func_def_232,type,
sK71: set_Sum_sum_c_d > ( c > sum_sum_c_d ) > set_c > c ).
thf(func_def_233,type,
sK72: set_c > ( sum_sum_c_d > c ) > set_Sum_sum_c_d > sum_sum_c_d ).
thf(func_def_234,type,
sK73: set_Sum_sum_c_c > ( sum_sum_c_c > sum_sum_c_c ) > set_Sum_sum_c_c > sum_sum_c_c ).
thf(func_def_235,type,
sK74: set_Sum_sum_c_d > ( sum_sum_c_c > sum_sum_c_d ) > set_Sum_sum_c_c > sum_sum_c_c ).
thf(func_def_236,type,
sK75: set_re2066790124real_c > ( c > real > finite1398487019real_c ) > set_c > c ).
thf(func_def_237,type,
sK76: set_Sum_sum_c_c > ( sum_sum_c_d > sum_sum_c_c ) > set_Sum_sum_c_d > sum_sum_c_d ).
thf(func_def_238,type,
sK77: set_real > ( real > finite1398487019real_c ) > ( real > set_Fi1407883041real_c ) > real ).
thf(func_def_239,type,
sK78: set_c > ( c > sum_sum_c_d ) > set_Sum_sum_c_d > sum_sum_c_d ).
thf(func_def_240,type,
sK79: set_c > ( c > sum_sum_c_c ) > set_Sum_sum_c_c > sum_sum_c_c ).
thf(func_def_241,type,
sK80: ( c > sum_sum_c_d ) > set_Sum_sum_c_d > set_c > set_c ).
thf(func_def_242,type,
sK81: ( c > sum_sum_c_d ) > set_Sum_sum_c_d > set_c > sum_sum_c_d ).
thf(func_def_243,type,
sK82: set_c > set_c > c ).
thf(func_def_244,type,
sK83: ( c > sum_sum_c_c ) > set_Sum_sum_c_c > set_c > set_c ).
thf(func_def_245,type,
sK84: ( c > sum_sum_c_c ) > set_Sum_sum_c_c > set_c > sum_sum_c_c ).
thf(func_def_246,type,
sK85: set_c > set_c > c ).
thf(func_def_247,type,
sK86: set_c > ( c > sum_sum_c_d ) > set_Sum_sum_c_d > c ).
thf(func_def_248,type,
sK87: set_c > ( c > sum_sum_c_d ) > set_Sum_sum_c_d > sum_sum_c_d ).
thf(func_def_249,type,
sK88: set_c > ( c > sum_sum_c_c ) > set_Sum_sum_c_c > c ).
thf(func_def_250,type,
sK89: set_c > ( c > sum_sum_c_c ) > set_Sum_sum_c_c > sum_sum_c_c ).
thf(func_def_251,type,
sK90: ( c > sum_sum_c_d ) > set_Sum_sum_c_d > set_c > sum_sum_c_d ).
thf(func_def_252,type,
sK91: ( c > sum_sum_c_d ) > set_Sum_sum_c_d > set_c > sum_sum_c_d ).
thf(func_def_253,type,
sK92: ( c > sum_sum_c_c ) > set_Sum_sum_c_c > set_c > sum_sum_c_c ).
thf(func_def_254,type,
sK93: ( c > sum_sum_c_c ) > set_Sum_sum_c_c > set_c > sum_sum_c_c ).
thf(func_def_255,type,
sK94: set_c > set_c > c ).
thf(func_def_256,type,
sK95: set_c > set_c > c ).
thf(func_def_257,type,
sK96: set_re2066790124real_c > set_re2066790124real_c > real > finite1398487019real_c ).
thf(func_def_258,type,
sK97: set_Pr1389752855real_c > set_Pr1389752855real_c > produc190496183real_c ).
thf(func_def_259,type,
sK98: set_Sum_sum_c_d > set_Sum_sum_c_d > sum_sum_c_d ).
thf(func_def_260,type,
sK99: set_c > set_c > c ).
thf(func_def_261,type,
sK100: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).
thf(func_def_262,type,
sK101: set_re2066790124real_c > set_re2066790124real_c > real > finite1398487019real_c ).
thf(func_def_263,type,
sK102: set_Pr1389752855real_c > set_Pr1389752855real_c > produc190496183real_c ).
thf(func_def_264,type,
sK103: set_Sum_sum_c_d > set_Sum_sum_c_d > sum_sum_c_d ).
thf(func_def_265,type,
sK104: set_c > set_c > c ).
thf(func_def_266,type,
sK105: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).
thf(func_def_267,type,
sK106: ( c > $o ) > ( c > $o ) > c ).
thf(func_def_268,type,
sK107: ( c > $o ) > ( c > $o ) > c ).
thf(func_def_269,type,
sK108: ( finite1398487019real_c > $o ) > ( finite1398487019real_c > $o ) > finite1398487019real_c ).
thf(func_def_270,type,
sK109: ( c > sum_sum_c_d ) > sum_sum_c_d > set_c > c ).
thf(func_def_271,type,
sK110: ( c > sum_sum_c_c ) > sum_sum_c_c > set_c > c ).
thf(func_def_272,type,
sK111: produc190496183real_c > produc190496183real_c > c ).
thf(func_def_273,type,
sK112: produc190496183real_c > produc190496183real_c > c ).
thf(func_def_274,type,
sK113: produc190496183real_c > produc190496183real_c > c ).
thf(func_def_275,type,
sK114: produc190496183real_c > produc190496183real_c > c ).
thf(func_def_276,type,
sK115: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).
thf(func_def_277,type,
sK116: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).
thf(func_def_278,type,
sK117: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).
thf(func_def_279,type,
sK118: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).
thf(func_def_280,type,
sK119: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).
thf(func_def_281,type,
sK120: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).
thf(func_def_282,type,
sK121: finite1398487019real_c > set_c > finite1398487019real_c > c ).
thf(func_def_283,type,
sK122: set_c > set_c > c ).
thf(func_def_284,type,
sK123: finite1398487019real_c > set_c > finite1398487019real_c > c ).
thf(func_def_285,type,
sK124: set_c > set_c > c ).
thf(func_def_286,type,
sK125: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).
thf(func_def_287,type,
sK126: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).
thf(func_def_288,type,
sK127: c ).
thf(func_def_289,type,
sK128: c ).
thf(func_def_290,type,
sK129: produc190496183real_c > produc190496183real_c > c ).
thf(func_def_291,type,
sK130: produc190496183real_c > produc190496183real_c > c ).
thf(func_def_292,type,
sK131: produc190496183real_c > produc190496183real_c > c ).
thf(func_def_293,type,
sK132: produc190496183real_c > produc190496183real_c > c ).
thf(func_def_294,type,
sK133: finite1398487019real_c > finite1398487019real_c > c ).
thf(func_def_295,type,
sK134: finite1398487019real_c > finite1398487019real_c > c ).
thf(func_def_296,type,
sK135: finite1398487019real_c > finite1398487019real_c > c ).
thf(func_def_297,type,
sK136: finite1398487019real_c > finite1398487019real_c > c ).
thf(func_def_298,type,
sK137: produc190496183real_c > produc190496183real_c > set_Sum_sum_c_c > c ).
thf(func_def_299,type,
sK138: produc190496183real_c > produc190496183real_c > set_Sum_sum_c_c > c ).
thf(func_def_300,type,
sK139: produc190496183real_c > produc190496183real_c > set_Sum_sum_c_c > c ).
thf(func_def_301,type,
sK140: produc190496183real_c > produc190496183real_c > set_Sum_sum_c_c > c ).
thf(func_def_302,type,
sK141: produc190496183real_c > set_Sum_sum_c_c > produc190496183real_c > c ).
thf(func_def_303,type,
sK142: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).
thf(func_def_304,type,
sK143: produc190496183real_c > set_Sum_sum_c_c > produc190496183real_c > c ).
thf(func_def_305,type,
sK144: produc190496183real_c > set_Sum_sum_c_c > produc190496183real_c > c ).
thf(func_def_306,type,
sK145: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).
thf(func_def_307,type,
sK146: produc190496183real_c > set_Sum_sum_c_c > produc190496183real_c > c ).
thf(func_def_308,type,
sK147: produc190496183real_c > set_Sum_sum_c_c > produc190496183real_c > c ).
thf(func_def_309,type,
sK148: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).
thf(func_def_310,type,
sK149: produc190496183real_c > set_Sum_sum_c_c > produc190496183real_c > c ).
thf(func_def_311,type,
sK150: produc190496183real_c > set_Sum_sum_c_c > produc190496183real_c > c ).
thf(func_def_312,type,
sK151: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).
thf(func_def_313,type,
sK152: produc190496183real_c > set_Sum_sum_c_c > produc190496183real_c > c ).
thf(func_def_314,type,
sK153: produc190496183real_c > produc190496183real_c > c ).
thf(func_def_315,type,
sK154: produc190496183real_c > produc190496183real_c > c ).
thf(func_def_316,type,
sK155: produc190496183real_c > produc190496183real_c > c ).
thf(func_def_317,type,
sK156: produc190496183real_c > produc190496183real_c > c ).
thf(func_def_318,type,
sK157: finite1398487019real_c > finite1398487019real_c > finite1398487019real_c > finite1398487019real_c > c ).
thf(func_def_319,type,
sK158: finite1398487019real_c > finite1398487019real_c > finite1398487019real_c > finite1398487019real_c > c ).
thf(func_def_320,type,
sK159: finite1398487019real_c > finite1398487019real_c > finite1398487019real_c > finite1398487019real_c > c ).
thf(func_def_321,type,
sK160: finite1398487019real_c > finite1398487019real_c > finite1398487019real_c > finite1398487019real_c > c ).
thf(func_def_322,type,
sK161: finite1398487019real_c > finite1398487019real_c > c ).
thf(func_def_323,type,
sK162: finite1398487019real_c > finite1398487019real_c > c ).
thf(func_def_324,type,
sK163: finite1398487019real_c > finite1398487019real_c > c ).
thf(func_def_325,type,
sK164: finite1398487019real_c > finite1398487019real_c > c ).
thf(func_def_326,type,
sK165: ( c > real ) > finite1398487019real_c > c ).
thf(func_def_328,type,
sK167: finite1398487019real_c > finite1398487019real_c > c ).
thf(f1,axiom,
! [X0: c,X1: denota231621370t_unit,X2: oDE_a_c] :
( ( member_c @ X0 @ ( denota540094197_a_b_c @ X1 @ X2 ) )
=> ( member_c @ X0 @ ( static_FVO_a_c @ X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_ode__to__fvo) ).
thf(f359,axiom,
member_c @ i2 @ ( denota540094197_a_b_c @ i @ oDEa ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
thf(f360,axiom,
~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2) ).
thf(f371,plain,
! [X0: c,X1: denota231621370t_unit,X2: oDE_a_c] :
( ( member_c @ X0 @ ( denota540094197_a_b_c @ X1 @ X2 ) )
=> ( member_c @ X0 @ ( static_FVO_a_c @ X2 ) ) ),
inference(rectify,[],[f1]) ).
thf(f372,plain,
! [X0: c,X1: denota231621370t_unit,X2: oDE_a_c] :
( ( ( member_c @ X0 @ ( denota540094197_a_b_c @ X1 @ X2 ) )
= $true )
=> ( ( member_c @ X0 @ ( static_FVO_a_c @ X2 ) )
= $true ) ),
inference(fool_elimination,[],[f371]) ).
thf(f959,plain,
member_c @ i2 @ ( denota540094197_a_b_c @ i @ oDEa ),
inference(rectify,[],[f359]) ).
thf(f960,plain,
( ( member_c @ i2 @ ( denota540094197_a_b_c @ i @ oDEa ) )
= $true ),
inference(fool_elimination,[],[f959]) ).
thf(f961,plain,
~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) ),
inference(rectify,[],[f360]) ).
thf(f962,plain,
( ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
!= $true ),
inference(fool_elimination,[],[f961]) ).
thf(f1010,plain,
( ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
!= $true ),
inference(flattening,[],[f962]) ).
thf(f1017,plain,
! [X0: c,X1: denota231621370t_unit,X2: oDE_a_c] :
( ( ( member_c @ X0 @ ( static_FVO_a_c @ X2 ) )
= $true )
| ( ( member_c @ X0 @ ( denota540094197_a_b_c @ X1 @ X2 ) )
!= $true ) ),
inference(ennf_transformation,[],[f372]) ).
thf(f1357,plain,
! [X2: oDE_a_c,X0: c,X1: denota231621370t_unit] :
( ( ( member_c @ X0 @ ( denota540094197_a_b_c @ X1 @ X2 ) )
!= $true )
| ( ( member_c @ X0 @ ( static_FVO_a_c @ X2 ) )
= $true ) ),
inference(cnf_transformation,[],[f1017]) ).
thf(f1789,plain,
( ( member_c @ i2 @ ( denota540094197_a_b_c @ i @ oDEa ) )
= $true ),
inference(cnf_transformation,[],[f960]) ).
thf(f1790,plain,
( ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
!= $true ),
inference(cnf_transformation,[],[f1010]) ).
thf(f3269,definition,
( spl166_8
<=> ( ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl166_8])],[avatar_definition]) ).
thf(f3271,plain,
( ( ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
!= $true )
| spl166_8 ),
inference(avatar_component_clause,[],[f3269]) ).
thf(f3305,plain,
~ spl166_8,
inference(avatar_split_clause,[],[f1790,f3269]) ).
thf(f3574,plain,
( ( $true != $true )
| ( ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
= $true ) ),
inference(constrained_superposition,[],[f1357,f1789]) ).
thf(f3575,plain,
( ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
= $true ),
inference(trivial_inequality_removal,[],[f3574]) ).
thf(f3577,plain,
( $false
| spl166_8 ),
inference(forward_subsumption_resolution,[],[f3575,f3271]) ).
thf(f3578,plain,
spl166_8,
inference(avatar_contradiction_clause,[],[f3577]) ).
cnf(s16,plain,
~ spl166_8,
inference(sat_conversion,[],[f3305]) ).
cnf(s27,plain,
spl166_8,
inference(sat_conversion,[],[f3578]) ).
cnf(s32,plain,
$false,
inference(rat,[],[s16,s27]) ).
thf(f3579,plain,
$false,
inference(avatar_sat_refutation,[],[s32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP040^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.16 % Computer : n019.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Tue Sep 29 19:40:33 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 Running first-order model finding
% 0.09/0.20 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.87/0.38 % (1253958)Will run a generic schedule for satisfiability detection.
% 0.87/0.38 % (1253966)dis+10_1_sil=32000:sp=arity:random_seed=49454295:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.87/0.38 % (1253964)% WARNING: option uhcvi not known.
% 0.87/0.38 % (1253963)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=457029580_2999 on theBenchmark for (2999ds/0Mi)
% 0.87/0.38 % (1253964)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2222883832:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.87/0.38 % (1253965)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3590982223:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.87/0.38 % (1253967)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=580866741:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.87/0.38 % (1253968)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=429830686:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.87/0.38 % (1253969)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1618999918:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.87/0.38 % (1253966)Instruction limit reached!
% 0.87/0.38 % (1253966)------------------------------
% 0.87/0.38 % (1253966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.38 % (1253966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.38 % (1253966)CaDiCaL version: 2.1.3
% 0.87/0.38 % (1253966)Termination reason: Instruction limit
% 0.87/0.38 % (1253966)Termination phase: Property scanning
% 0.87/0.38 % (1253966)Time elapsed: 0.023 s
% 0.87/0.38 % (1253966)Peak memory usage: 11 MB
% 0.87/0.38 % (1253966)Instructions burned: 106 (million)
% 0.87/0.38 % (1253964)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.87/0.38 % (1253967)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.87/0.38 % (1253977)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=239315962:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.87/0.38 % (1253967)Instruction limit reached!
% 0.87/0.38 % (1253967)------------------------------
% 0.87/0.38 % (1253967)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.38 % (1253967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.38 % (1253967)CaDiCaL version: 2.1.3
% 0.87/0.38 % (1253967)Termination reason: Instruction limit
% 0.87/0.38 % (1253967)Termination phase: Property scanning
% 0.87/0.38 % (1253967)Time elapsed: 0.048 s
% 0.87/0.38 % (1253967)Peak memory usage: 11 MB
% 0.87/0.38 % (1253967)Instructions burned: 117 (million)
% 0.87/0.38 % Exception at run slice level
% 0.87/0.38 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.87/0.38 % Exception at run slice level
% 0.87/0.38 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.87/0.38 % (1253964)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.87/0.38 % (1253968)Instruction limit reached!
% 0.87/0.38 % (1253968)------------------------------
% 0.87/0.38 % (1253968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.38 % (1253968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.38 % (1253968)CaDiCaL version: 2.1.3
% 0.87/0.38 % (1253968)Termination reason: Instruction limit
% 0.87/0.38 % (1253968)Termination phase: Property scanning
% 0.87/0.38 % (1253968)Time elapsed: 0.053 s
% 0.87/0.38 % (1253968)Peak memory usage: 12 MB
% 0.87/0.38 % (1253968)Instructions burned: 131 (million)
% 0.87/0.38 % (1253979)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4236659457:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.87/0.38 % (1253969)Instruction limit reached!
% 0.87/0.38 % (1253969)------------------------------
% 0.87/0.38 % (1253969)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.38 % (1253969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.38 % (1253969)CaDiCaL version: 2.1.3
% 0.87/0.38 % (1253969)Termination reason: Instruction limit
% 0.87/0.38 % (1253969)Termination phase: Saturation
% 0.87/0.38 % (1253969)Time elapsed: 0.063 s
% 0.87/0.38 % (1253969)Peak memory usage: 13 MB
% 0.87/0.38 % (1253969)Instructions burned: 159 (million)
% 0.87/0.38 % (1253981)ott-21_1_sil=16000:fs=off:random_seed=1106796870:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.87/0.38 % (1253982)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1271714495:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 0.87/0.38 % (1253984)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=455221042:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 0.87/0.38 % (1253980)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=3588161830:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.87/0.38 % (1253964) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1253958-1253964"...
% 0.87/0.38 % (1253964)...printing done.
% 0.87/0.38 % (1253964)Refutation found. Thanks to Tanya!
% 0.87/0.38 % SZS status ContradictoryAxioms for theBenchmark
% 0.87/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.87/0.38 % (1253964)------------------------------
% 0.87/0.38 % (1253964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.38 % (1253964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.38 % (1253964)CaDiCaL version: 2.1.3
% 0.87/0.38 % (1253964)Termination reason: Refutation
% 0.87/0.38 % (1253964)Time elapsed: 0.107 s
% 0.87/0.38 % (1253964)Peak memory usage: 15 MB
% 0.87/0.38 % (1253964)Instructions burned: 241 (million)
% 0.87/0.38 % (1253958)Success in time 0.174 s
% 0.87/0.38 % Vampire exiting
%------------------------------------------------------------------------------