%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP314_1 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 : Tue Sep 29 11:39:20 AM UTC 2026
% Result : Theorem 3.96s 1.09s
% Output : Refutation 3.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of formulae : 68 ( 23 unt; 0 typ; 4 def)
% Number of atoms : 151 ( 12 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 144 ( 61 ~; 60 |; 8 &)
% ( 4 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number arithmetic : 143 ( 54 atm; 5 fun; 52 num; 32 var)
% Number of types : 35 ( 32 usr; 2 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 41 ( 36 usr; 7 prp; 0-4 aty)
% Number of functors : 281 ( 277 usr; 20 con; 0-6 aty)
% Number of variables : 53 ( 0 sgn 49 !; 4 ?; 53 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'Real_real_bool_fun_fun$': $tType ).
tff(type_def_6,type,
'Int_bool_fun$': $tType ).
tff(type_def_7,type,
'Int_real_fun$': $tType ).
tff(type_def_8,type,
'Nat_nat_complex_fun_fun$': $tType ).
tff(type_def_9,type,
'Nat_real_fun_bool_fun$': $tType ).
tff(type_def_10,type,
'Int_set$': $tType ).
tff(type_def_11,type,
'Int_int_fun$': $tType ).
tff(type_def_12,type,
'Complex_real_fun$': $tType ).
tff(type_def_13,type,
'Nat_nat_fun$': $tType ).
tff(type_def_14,type,
'Int_nat_fun$': $tType ).
tff(type_def_15,type,
'Complex$': $tType ).
tff(type_def_16,type,
'Nat$': $tType ).
tff(type_def_17,type,
'Complex_complex_fun$': $tType ).
tff(type_def_18,type,
tlbool: $tType ).
tff(type_def_19,type,
'Real_real_fun$': $tType ).
tff(type_def_20,type,
'Nat_real_fun$': $tType ).
tff(type_def_21,type,
'Complex_int_fun$': $tType ).
tff(type_def_22,type,
'Complex_bool_fun$': $tType ).
tff(type_def_23,type,
'Real_int_fun$': $tType ).
tff(type_def_24,type,
'Nat_real_fun_nat_nat_fun_fun$': $tType ).
tff(type_def_25,type,
'Complex_poly$': $tType ).
tff(type_def_26,type,
'Nat_real_fun_nat_real_fun_fun$': $tType ).
tff(type_def_27,type,
'Complex_set$': $tType ).
tff(type_def_28,type,
'Complex_nat_fun$': $tType ).
tff(type_def_29,type,
'Int_int_bool_fun_fun$': $tType ).
tff(type_def_30,type,
'Int_complex_fun$': $tType ).
tff(type_def_31,type,
'Nat_bool_fun$': $tType ).
tff(type_def_32,type,
'Real_bool_fun$': $tType ).
tff(type_def_33,type,
'Real_set$': $tType ).
tff(type_def_34,type,
'Nat_set$': $tType ).
tff(type_def_35,type,
'Nat_int_fun$': $tType ).
tff(type_def_36,type,
'Nat_complex_fun$': $tType ).
tff(func_def_0,type,
'fun_app$u': ( 'Real_real_bool_fun_fun$' * $real ) > 'Real_bool_fun$' ).
tff(func_def_1,type,
'minus$f': ( 'Int_bool_fun$' * 'Int_bool_fun$' ) > 'Int_bool_fun$' ).
tff(func_def_2,type,
'less_eq$': 'Complex$' > 'Complex_bool_fun$' ).
tff(func_def_3,type,
'prod$i': ( 'Int_complex_fun$' * 'Int_set$' ) > 'Complex$' ).
tff(func_def_4,type,
'dbl_inc$b': 'Int_int_fun$' ).
tff(func_def_5,type,
'uvg$': 'Int_int_bool_fun_fun$' ).
tff(func_def_6,type,
'fun_app$p': ( 'Int_nat_fun$' * $int ) > 'Nat$' ).
tff(func_def_7,type,
'plus$': 'Complex$' > 'Complex_complex_fun$' ).
tff(func_def_8,type,
'collect$': 'Complex_bool_fun$' > 'Complex_set$' ).
tff(func_def_9,type,
'uua$': 'Nat_nat_fun$' > 'Nat_complex_fun$' ).
tff(func_def_10,type,
'fun_app$v': ( 'Real_int_fun$' * $real ) > $int ).
tff(func_def_11,type,
'prod$e': ( 'Complex_real_fun$' * 'Complex_set$' ) > $real ).
tff(func_def_12,type,
'collect$a': 'Nat_bool_fun$' > 'Nat_set$' ).
tff(func_def_13,type,
'uub$': 'Nat_complex_fun$' ).
tff(func_def_14,type,
'fun_app$m': ( 'Nat_int_fun$' * 'Nat$' ) > $int ).
tff(func_def_15,type,
'i$': 'Complex_poly$' > 'Complex_complex_fun$' ).
tff(func_def_16,type,
'closed_segment$': ( 'Complex$' * 'Complex$' ) > 'Complex_set$' ).
tff(func_def_17,type,
'of_nat$': 'Nat_complex_fun$' ).
tff(func_def_18,type,
'atLeastAtMost$a': ( $real * $real ) > 'Real_set$' ).
tff(func_def_19,type,
'prod$k': ( 'Int_nat_fun$' * 'Int_set$' ) > 'Nat$' ).
tff(func_def_20,type,
'uuy$': ( 'Nat$' * 'Nat_complex_fun$' ) > 'Nat_complex_fun$' ).
tff(func_def_21,type,
'prod$c': ( 'Complex_int_fun$' * 'Complex_set$' ) > $int ).
tff(func_def_22,type,
'n$': 'Nat$' ).
tff(func_def_23,type,
'uum$': ( 'Nat_set$' * 'Nat_bool_fun$' ) > 'Nat_bool_fun$' ).
tff(func_def_24,type,
'fun_app$s': ( 'Nat_real_fun_nat_nat_fun_fun$' * 'Nat_real_fun$' ) > 'Nat_nat_fun$' ).
tff(func_def_25,type,
'uva$': ( 'Nat$' * 'Nat_int_fun$' ) > 'Nat_int_fun$' ).
tff(func_def_26,type,
'fun_app$k': ( 'Complex_int_fun$' * 'Complex$' ) > $int ).
tff(func_def_27,type,
'uud$': $int > 'Int_int_fun$' ).
tff(func_def_28,type,
'nat$': 'Int_nat_fun$' ).
tff(func_def_29,type,
'prod$d': ( 'Nat_int_fun$' * 'Nat_set$' ) > $int ).
tff(func_def_30,type,
'fun_app$': ( 'Nat_complex_fun$' * 'Nat$' ) > 'Complex$' ).
tff(func_def_31,type,
'uuf$': 'Nat_set$' > 'Nat_bool_fun$' ).
tff(func_def_32,type,
'minus$b': ( 'Nat_set$' * 'Nat_set$' ) > 'Nat_set$' ).
tff(func_def_33,type,
'fun_app$h': ( 'Nat_real_fun$' * 'Nat$' ) > $real ).
tff(func_def_34,type,
'prod$g': ( 'Int_real_fun$' * 'Int_set$' ) > $real ).
tff(func_def_35,type,
'prod$a': ( 'Nat_nat_fun$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_36,type,
'c$': $real ).
tff(func_def_37,type,
'uuv$': ( 'Complex$' * 'Complex_real_fun$' ) > 'Complex_real_fun$' ).
tff(func_def_38,type,
'uvf$': ( 'Nat$' * 'Nat_complex_fun$' ) > 'Nat_complex_fun$' ).
tff(func_def_39,type,
'uul$': ( 'Complex_set$' * 'Complex_bool_fun$' ) > 'Complex_bool_fun$' ).
tff(func_def_40,type,
'uui$': 'Nat_nat_complex_fun_fun$' > 'Nat_nat_complex_fun_fun$' ).
tff(func_def_41,type,
'prod$j': ( 'Complex_nat_fun$' * 'Complex_set$' ) > 'Nat$' ).
tff(func_def_42,type,
'uvc$': ( 'Complex$' * 'Complex_real_fun$' ) > 'Complex_real_fun$' ).
tff(func_def_43,type,
tltrue: tlbool ).
tff(func_def_44,type,
'uuh$': ( 'Nat_nat_complex_fun_fun$' * 'Nat_set$' ) > 'Nat_complex_fun$' ).
tff(func_def_45,type,
'uup$': ( 'Nat_set$' * 'Nat_set$' ) > 'Nat_bool_fun$' ).
tff(func_def_46,type,
'uuq$': ( 'Int_set$' * 'Int_set$' ) > 'Int_bool_fun$' ).
tff(func_def_47,type,
'uux$': ( $int * 'Int_real_fun$' ) > 'Int_real_fun$' ).
tff(func_def_48,type,
'fun_app$a': ( 'Complex_complex_fun$' * 'Complex$' ) > 'Complex$' ).
tff(func_def_49,type,
'fun_app$q': ( 'Complex_nat_fun$' * 'Complex$' ) > 'Nat$' ).
tff(func_def_50,type,
'minus$c': ( 'Int_set$' * 'Int_set$' ) > 'Int_set$' ).
tff(func_def_51,type,
'uuc$': $real > 'Real_real_fun$' ).
tff(func_def_52,type,
'fun_app$j': ( 'Nat_nat_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_53,type,
'prod$f': ( 'Nat_real_fun$' * 'Nat_set$' ) > $real ).
tff(func_def_54,type,
'norm$': 'Complex_real_fun$' ).
tff(func_def_55,type,
'prod$h': ( 'Int_int_fun$' * 'Int_set$' ) > $int ).
tff(func_def_56,type,
'dbl_inc$': 'Real_real_fun$' ).
tff(func_def_57,type,
'prod$b': ( 'Complex_complex_fun$' * 'Complex_set$' ) > 'Complex$' ).
tff(func_def_58,type,
'minus$': 'Complex$' > 'Complex_complex_fun$' ).
tff(func_def_59,type,
'prod$': ( 'Nat_complex_fun$' * 'Nat_set$' ) > 'Complex$' ).
tff(func_def_60,type,
'uug$': 'Int_set$' > 'Int_bool_fun$' ).
tff(func_def_61,type,
'fun_app$o': ( 'Nat_nat_complex_fun_fun$' * 'Nat$' ) > 'Nat_complex_fun$' ).
tff(func_def_62,type,
'uue$': 'Complex_set$' > 'Complex_bool_fun$' ).
tff(func_def_63,type,
'fun_app$i': ( 'Complex_real_fun$' * 'Complex$' ) > $real ).
tff(func_def_64,type,
'one$': 'Complex$' ).
tff(func_def_65,type,
'of_nat$a': 'Nat_int_fun$' ).
tff(func_def_66,type,
'collect$b': 'Int_bool_fun$' > 'Int_set$' ).
tff(func_def_67,type,
'uuk$': 'Nat_complex_fun$' > 'Nat_real_fun$' ).
tff(func_def_68,type,
'uve$': ( $int * 'Int_real_fun$' ) > 'Int_real_fun$' ).
tff(func_def_69,type,
'atLeastAtMost$': ( 'Nat$' * 'Nat$' ) > 'Nat_set$' ).
tff(func_def_70,type,
'dbl_inc$a': 'Complex_complex_fun$' ).
tff(func_def_71,type,
'fun_app$e': ( 'Int_int_fun$' * $int ) > $int ).
tff(func_def_72,type,
'uut$': ( 'Nat$' * 'Nat_int_fun$' ) > 'Nat_int_fun$' ).
tff(func_def_73,type,
'fun_app$l': ( 'Nat_real_fun_nat_real_fun_fun$' * 'Nat_real_fun$' ) > 'Nat_real_fun$' ).
tff(func_def_74,type,
'fun_app$w': ( 'Int_complex_fun$' * $int ) > 'Complex$' ).
tff(func_def_75,type,
'fun_app$n': ( 'Int_real_fun$' * $int ) > $real ).
tff(func_def_76,type,
'uvb$': ( $int * 'Int_int_fun$' ) > 'Int_int_fun$' ).
tff(func_def_77,type,
'zero$': 'Complex$' ).
tff(func_def_78,type,
tlfalse: tlbool ).
tff(func_def_79,type,
'minus$e': ( 'Nat_bool_fun$' * 'Nat_bool_fun$' ) > 'Nat_bool_fun$' ).
tff(func_def_80,type,
'uus$': ( 'Complex$' * 'Complex_int_fun$' ) > 'Complex_int_fun$' ).
tff(func_def_81,type,
'uuo$': ( 'Complex_set$' * 'Complex_set$' ) > 'Complex_bool_fun$' ).
tff(func_def_82,type,
'fun_app$c': ( 'Int_int_bool_fun_fun$' * $int ) > 'Int_bool_fun$' ).
tff(func_def_83,type,
'closed_segment$a': ( $real * $real ) > 'Real_set$' ).
tff(func_def_84,type,
'uun$': ( 'Int_set$' * 'Int_bool_fun$' ) > 'Int_bool_fun$' ).
tff(func_def_85,type,
'uuu$': ( $int * 'Int_int_fun$' ) > 'Int_int_fun$' ).
tff(func_def_86,type,
'fun_app$d': ( 'Real_real_fun$' * $real ) > $real ).
tff(func_def_87,type,
'minus$a': ( 'Complex_set$' * 'Complex_set$' ) > 'Complex_set$' ).
tff(func_def_88,type,
'uuz$': ( 'Complex$' * 'Complex_int_fun$' ) > 'Complex_int_fun$' ).
tff(func_def_89,type,
'minus$d': ( 'Complex_bool_fun$' * 'Complex_bool_fun$' ) > 'Complex_bool_fun$' ).
tff(func_def_90,type,
'uvd$': 'Nat$' > 'Nat_real_fun_nat_real_fun_fun$' ).
tff(func_def_91,type,
'of_nat$b': 'Nat_real_fun$' ).
tff(func_def_92,type,
'less$': 'Complex$' > 'Complex_bool_fun$' ).
tff(func_def_93,type,
'uuw$': 'Nat$' > 'Nat_real_fun_nat_real_fun_fun$' ).
tff(func_def_94,type,
'uu$': 'Complex$' > 'Nat_complex_fun$' ).
tff(func_def_95,type,
'norm$a': 'Real_real_fun$' ).
tff(func_def_96,type,
'uuj$': ( 'Nat_nat_complex_fun_fun$' * 'Nat_set$' ) > 'Nat_complex_fun$' ).
tff(func_def_97,type,
'uur$': $int > 'Int_int_bool_fun_fun$' ).
tff(func_def_108,type,
sK0: $real > 'Complex$' ).
tff(func_def_109,type,
sK1: ( 'Int_bool_fun$' * 'Int_bool_fun$' ) > $int ).
tff(func_def_110,type,
sK2: ( 'Complex_set$' * 'Complex_nat_fun$' * 'Nat_complex_fun$' * 'Complex_complex_fun$' ) > 'Complex$' ).
tff(func_def_111,type,
sK3: ( 'Complex_set$' * 'Nat_complex_fun$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_112,type,
sK4: ( 'Nat_complex_fun$' * 'Complex_nat_fun$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_113,type,
sK5: ( 'Complex_set$' * 'Complex_nat_fun$' * 'Nat_set$' ) > 'Complex$' ).
tff(func_def_114,type,
sK6: ( 'Complex_set$' * 'Nat_complex_fun$' * 'Complex_nat_fun$' ) > 'Complex$' ).
tff(func_def_115,type,
sK8: ( 'Nat_set$' * 'Nat_complex_fun$' * 'Complex_complex_fun$' * 'Nat_complex_fun$' ) > 'Nat$' ).
tff(func_def_116,type,
sK9: ( 'Nat_set$' * 'Complex_nat_fun$' * 'Complex_set$' ) > 'Complex$' ).
tff(func_def_117,type,
sK10: ( 'Complex_nat_fun$' * 'Nat_complex_fun$' * 'Complex_set$' ) > 'Complex$' ).
tff(func_def_118,type,
sK11: ( 'Nat_set$' * 'Nat_complex_fun$' * 'Complex_set$' ) > 'Nat$' ).
tff(func_def_119,type,
sK12: ( 'Nat_set$' * 'Complex_nat_fun$' * 'Nat_complex_fun$' ) > 'Nat$' ).
tff(func_def_120,type,
sK14: ( 'Nat_set$' * 'Nat_nat_fun$' * 'Nat_complex_fun$' * 'Nat_complex_fun$' ) > 'Nat$' ).
tff(func_def_121,type,
sK15: ( 'Nat_set$' * 'Nat_nat_fun$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_122,type,
sK16: ( 'Nat_nat_fun$' * 'Nat_nat_fun$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_123,type,
sK17: ( 'Nat_set$' * 'Nat_nat_fun$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_124,type,
sK18: ( 'Nat_set$' * 'Nat_nat_fun$' * 'Nat_nat_fun$' ) > 'Nat$' ).
tff(func_def_125,type,
sK20: ( 'Nat_set$' * 'Nat_complex_fun$' * 'Complex_set$' * 'Complex_nat_fun$' * 'Nat_complex_fun$' * 'Complex_complex_fun$' ) > 'Complex$' ).
tff(func_def_126,type,
sK21: ( 'Nat_set$' * 'Nat_complex_fun$' * 'Complex_set$' * 'Complex_nat_fun$' ) > 'Nat$' ).
tff(func_def_127,type,
sK22: ( 'Complex_set$' * 'Complex_nat_fun$' * 'Nat_set$' * 'Nat_complex_fun$' * 'Complex_complex_fun$' * 'Nat_complex_fun$' ) > 'Nat$' ).
tff(func_def_128,type,
sK23: ( 'Complex_set$' * 'Complex_nat_fun$' * 'Nat_set$' * 'Nat_complex_fun$' ) > 'Complex$' ).
tff(func_def_129,type,
sK24: ( 'Nat_set$' * 'Nat_nat_fun$' * 'Nat_set$' * 'Nat_nat_fun$' * 'Nat_complex_fun$' * 'Nat_complex_fun$' ) > 'Nat$' ).
tff(func_def_130,type,
sK25: ( 'Nat_set$' * 'Nat_nat_fun$' * 'Nat_set$' * 'Nat_nat_fun$' ) > 'Nat$' ).
tff(func_def_131,type,
sK26: ( 'Nat_set$' * 'Complex_set$' * 'Complex_nat_fun$' * 'Nat_complex_fun$' * 'Complex_complex_fun$' ) > 'Complex$' ).
tff(func_def_132,type,
sK27: ( 'Nat_set$' * 'Complex_set$' * 'Complex_nat_fun$' ) > 'Nat$' ).
tff(func_def_133,type,
sK28: ( 'Nat_set$' * 'Complex_set$' * 'Complex_nat_fun$' * 'Complex$' ) > 'Complex$' ).
tff(func_def_134,type,
sK29: ( 'Complex_set$' * 'Nat_set$' * 'Nat_complex_fun$' * 'Complex_complex_fun$' * 'Nat_complex_fun$' ) > 'Nat$' ).
tff(func_def_135,type,
sK30: ( 'Complex_set$' * 'Nat_set$' * 'Nat_complex_fun$' ) > 'Complex$' ).
tff(func_def_136,type,
sK31: ( 'Complex_set$' * 'Nat_set$' * 'Nat_complex_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_137,type,
sK32: ( 'Nat_set$' * 'Nat_set$' * 'Nat_nat_fun$' * 'Nat_complex_fun$' * 'Nat_complex_fun$' ) > 'Nat$' ).
tff(func_def_138,type,
sK33: ( 'Nat_set$' * 'Nat_set$' * 'Nat_nat_fun$' ) > 'Nat$' ).
tff(func_def_139,type,
sK34: ( 'Nat_set$' * 'Nat_set$' * 'Nat_nat_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_140,type,
sK35: ( 'Nat_set$' * 'Nat_complex_fun$' * 'Nat_complex_fun$' ) > 'Nat$' ).
tff(func_def_141,type,
sK36: ( 'Complex_int_fun$' * 'Complex_set$' ) > 'Complex$' ).
tff(func_def_142,type,
sK37: ( 'Nat_int_fun$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_143,type,
sK38: ( 'Complex_real_fun$' * 'Complex_set$' ) > 'Complex$' ).
tff(func_def_144,type,
sK39: ( 'Nat_real_fun$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_145,type,
sK40: ( 'Nat_complex_fun$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_146,type,
sK41: ( 'Complex_set$' * 'Complex_int_fun$' ) > 'Complex$' ).
tff(func_def_147,type,
sK42: ( 'Nat_set$' * 'Nat_int_fun$' ) > 'Nat$' ).
tff(func_def_148,type,
sK43: ( 'Complex_set$' * 'Complex_real_fun$' ) > 'Complex$' ).
tff(func_def_149,type,
sK44: ( 'Nat_set$' * 'Nat_real_fun$' ) > 'Nat$' ).
tff(func_def_150,type,
sK45: ( 'Nat_set$' * 'Nat_complex_fun$' ) > 'Nat$' ).
tff(func_def_151,type,
sK46: ( 'Complex_set$' * 'Complex_real_fun$' ) > 'Complex$' ).
tff(func_def_152,type,
sK47: ( 'Nat_set$' * 'Nat_real_fun$' ) > 'Nat$' ).
tff(func_def_153,type,
sK48: ( 'Complex_set$' * 'Complex_int_fun$' ) > 'Complex$' ).
tff(func_def_154,type,
sK49: ( 'Nat_set$' * 'Nat_int_fun$' ) > 'Nat$' ).
tff(func_def_155,type,
sK50: ( 'Complex_set$' * 'Complex_real_fun$' * 'Complex_real_fun$' ) > 'Complex$' ).
tff(func_def_156,type,
sK51: ( 'Nat_set$' * 'Nat_real_fun$' * 'Nat_real_fun$' ) > 'Nat$' ).
tff(func_def_157,type,
sK52: ( 'Complex_set$' * 'Complex_int_fun$' * 'Complex_int_fun$' ) > 'Complex$' ).
tff(func_def_158,type,
sK53: ( 'Nat_set$' * 'Nat_int_fun$' * 'Nat_int_fun$' ) > 'Nat$' ).
tff(func_def_159,type,
sK54: ( 'Complex_set$' * 'Complex_real_fun$' ) > 'Complex$' ).
tff(func_def_160,type,
sK55: ( 'Nat_set$' * 'Nat_real_fun$' ) > 'Nat$' ).
tff(func_def_161,type,
sK56: ( 'Complex_set$' * 'Complex_int_fun$' ) > 'Complex$' ).
tff(func_def_162,type,
sK57: ( 'Nat_set$' * 'Nat_int_fun$' ) > 'Nat$' ).
tff(func_def_163,type,
sK58: ( 'Complex_set$' * 'Complex_real_fun$' ) > 'Complex$' ).
tff(func_def_164,type,
sK59: ( 'Nat_set$' * 'Nat_real_fun$' ) > 'Nat$' ).
tff(func_def_165,type,
sK60: ( 'Complex_set$' * 'Complex_int_fun$' ) > 'Complex$' ).
tff(func_def_166,type,
sK61: ( 'Nat_set$' * 'Nat_int_fun$' ) > 'Nat$' ).
tff(func_def_167,type,
sK62: ( 'Nat_real_fun_bool_fun$' * 'Nat_bool_fun$' ) > 'Nat_real_fun$' ).
tff(func_def_168,type,
sK63: ( 'Nat_real_fun_bool_fun$' * 'Nat_real_fun_nat_real_fun_fun$' ) > 'Nat_real_fun$' ).
tff(func_def_169,type,
sK64: ( 'Nat_real_fun_bool_fun$' * 'Nat_real_fun_nat_real_fun_fun$' * 'Nat_bool_fun$' ) > 'Nat_real_fun_nat_nat_fun_fun$' ).
tff(func_def_170,type,
sK66: ( 'Nat_bool_fun$' * 'Nat_real_fun$' ) > 'Nat$' ).
tff(func_def_171,type,
sK67: $int > 'Nat$' ).
tff(func_def_172,type,
sK68: $int > 'Nat$' ).
tff(func_def_173,type,
sK69: $int > 'Nat$' ).
tff(func_def_174,type,
sK70: $int > 'Nat$' ).
tff(func_def_175,type,
sK71: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_176,type,
sK72: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_177,type,
sK73: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_178,type,
sK74: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_179,type,
sK75: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_180,type,
sK76: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_181,type,
sK77: $real > 'Complex$' ).
tff(func_def_182,type,
sK78: ( 'Complex_set$' * 'Complex_set$' ) > 'Complex$' ).
tff(func_def_183,type,
sK79: ( 'Nat_set$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_184,type,
sK80: ( $int * 'Int_bool_fun$' ) > $int ).
tff(func_def_185,type,
sK81: ( 'Int_bool_fun$' * 'Int_bool_fun$' ) > $int ).
tff(func_def_186,type,
sK82: ( 'Int_bool_fun$' * 'Int_bool_fun$' ) > $int ).
tff(func_def_187,type,
sK83: ( 'Complex_set$' * 'Complex_set$' ) > 'Complex$' ).
tff(func_def_188,type,
sK84: ( 'Nat_set$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_189,type,
sK85: ( 'Complex_set$' * 'Complex_set$' ) > 'Complex$' ).
tff(func_def_190,type,
sK86: ( 'Nat_set$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_191,type,
sK97: 'Real_real_bool_fun_fun$' > $real ).
tff(func_def_192,type,
sK98: 'Real_real_bool_fun_fun$' > $real ).
tff(func_def_193,type,
sK99: 'Real_real_bool_fun_fun$' > $real ).
tff(func_def_194,type,
sK100: 'Real_real_bool_fun_fun$' > $real ).
tff(func_def_195,type,
sK101: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_196,type,
sK102: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_197,type,
sK103: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_198,type,
sK104: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_199,type,
sK105: 'Real_real_fun$' > $real ).
tff(func_def_200,type,
sK106: 'Real_real_fun$' > $real ).
tff(func_def_201,type,
sK107: 'Int_real_fun$' > $int ).
tff(func_def_202,type,
sK108: 'Int_real_fun$' > $int ).
tff(func_def_203,type,
sK109: 'Real_int_fun$' > $real ).
tff(func_def_204,type,
sK110: 'Real_int_fun$' > $real ).
tff(func_def_205,type,
sK111: 'Int_int_fun$' > $int ).
tff(func_def_206,type,
sK112: 'Int_int_fun$' > $int ).
tff(func_def_207,type,
sK113: 'Real_real_fun$' > $real ).
tff(func_def_208,type,
sK114: 'Real_real_fun$' > $real ).
tff(func_def_209,type,
sK115: 'Real_int_fun$' > $real ).
tff(func_def_210,type,
sK116: 'Real_int_fun$' > $real ).
tff(func_def_211,type,
sK117: 'Int_real_fun$' > $int ).
tff(func_def_212,type,
sK118: 'Int_real_fun$' > $int ).
tff(func_def_213,type,
sK119: 'Int_int_fun$' > $int ).
tff(func_def_214,type,
sK120: 'Int_int_fun$' > $int ).
tff(func_def_215,type,
sK121: 'Real_real_fun$' > $real ).
tff(func_def_216,type,
sK122: 'Real_real_fun$' > $real ).
tff(func_def_217,type,
sK123: 'Real_int_fun$' > $real ).
tff(func_def_218,type,
sK124: 'Real_int_fun$' > $real ).
tff(func_def_219,type,
sK125: 'Int_real_fun$' > $int ).
tff(func_def_220,type,
sK126: 'Int_real_fun$' > $int ).
tff(func_def_221,type,
sK127: 'Int_int_fun$' > $int ).
tff(func_def_222,type,
sK128: 'Int_int_fun$' > $int ).
tff(func_def_223,type,
sK129: 'Real_real_fun$' > $real ).
tff(func_def_224,type,
sK130: 'Real_real_fun$' > $real ).
tff(func_def_225,type,
sK131: 'Real_int_fun$' > $real ).
tff(func_def_226,type,
sK132: 'Real_int_fun$' > $real ).
tff(func_def_227,type,
sK133: 'Int_real_fun$' > $int ).
tff(func_def_228,type,
sK134: 'Int_real_fun$' > $int ).
tff(func_def_229,type,
sK135: 'Int_int_fun$' > $int ).
tff(func_def_230,type,
sK136: 'Int_int_fun$' > $int ).
tff(func_def_231,type,
sK137: $real > 'Nat$' ).
tff(func_def_232,type,
sK138: ( 'Complex_set$' * 'Complex_real_fun$' ) > 'Complex$' ).
tff(func_def_233,type,
sK139: ( 'Complex_set$' * 'Complex_set$' * 'Complex_real_fun$' ) > 'Complex$' ).
tff(func_def_234,type,
sK140: ( 'Nat_set$' * 'Nat_real_fun$' ) > 'Nat$' ).
tff(func_def_235,type,
sK141: ( 'Nat_set$' * 'Nat_set$' * 'Nat_real_fun$' ) > 'Nat$' ).
tff(func_def_236,type,
sK142: ( 'Int_set$' * 'Int_real_fun$' ) > $int ).
tff(func_def_237,type,
sK143: ( 'Int_set$' * 'Int_set$' * 'Int_real_fun$' ) > $int ).
tff(func_def_238,type,
sK144: ( 'Complex_set$' * 'Complex_int_fun$' ) > 'Complex$' ).
tff(func_def_239,type,
sK145: ( 'Complex_set$' * 'Complex_set$' * 'Complex_int_fun$' ) > 'Complex$' ).
tff(func_def_240,type,
sK146: ( 'Nat_set$' * 'Nat_int_fun$' ) > 'Nat$' ).
tff(func_def_241,type,
sK147: ( 'Nat_set$' * 'Nat_set$' * 'Nat_int_fun$' ) > 'Nat$' ).
tff(func_def_242,type,
sK148: ( 'Int_set$' * 'Int_int_fun$' ) > $int ).
tff(func_def_243,type,
sK149: ( 'Int_set$' * 'Int_set$' * 'Int_int_fun$' ) > $int ).
tff(func_def_244,type,
sK150: ( 'Complex_set$' * 'Complex_real_fun$' ) > 'Complex$' ).
tff(func_def_245,type,
sK151: ( 'Nat_set$' * 'Nat_real_fun$' ) > 'Nat$' ).
tff(func_def_246,type,
sK152: ( 'Int_set$' * 'Int_real_fun$' ) > $int ).
tff(func_def_247,type,
sK153: ( 'Complex_set$' * 'Complex_complex_fun$' ) > 'Complex$' ).
tff(func_def_248,type,
sK154: ( 'Int_set$' * 'Int_complex_fun$' ) > $int ).
tff(func_def_249,type,
sK155: ( 'Complex_set$' * 'Complex_int_fun$' ) > 'Complex$' ).
tff(func_def_250,type,
sK156: ( 'Nat_set$' * 'Nat_int_fun$' ) > 'Nat$' ).
tff(func_def_251,type,
sK157: ( 'Int_set$' * 'Int_int_fun$' ) > $int ).
tff(func_def_252,type,
sK158: ( 'Nat_set$' * 'Nat_complex_fun$' ) > 'Nat$' ).
tff(func_def_253,type,
sK159: ( 'Complex_set$' * 'Complex_nat_fun$' ) > 'Complex$' ).
tff(func_def_254,type,
sK160: ( 'Nat_set$' * 'Nat_nat_fun$' ) > 'Nat$' ).
tff(func_def_255,type,
sK161: ( 'Int_set$' * 'Int_nat_fun$' ) > $int ).
tff(func_def_256,type,
sK162: ( 'Complex_set$' * 'Complex_nat_fun$' ) > 'Complex$' ).
tff(func_def_257,type,
sK163: ( 'Nat_set$' * 'Nat_nat_fun$' ) > 'Nat$' ).
tff(func_def_258,type,
sK164: ( 'Int_set$' * 'Int_nat_fun$' ) > $int ).
tff(func_def_259,type,
sK165: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_260,type,
sK166: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_261,type,
sK167: $int > $int ).
tff(func_def_262,type,
sK168: $int > $int ).
tff(func_def_263,type,
sK169: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_264,type,
sK170: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_265,type,
sK171: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_266,type,
sK172: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_267,type,
sK173: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_268,type,
sK174: 'Int_int_fun$' > $int ).
tff(func_def_269,type,
sK175: 'Int_int_fun$' > $int ).
tff(func_def_270,type,
sK176: 'Int_int_fun$' > $int ).
tff(func_def_271,type,
sK177: 'Int_int_fun$' > $int ).
tff(func_def_272,type,
sK178: 'Int_int_fun$' > $int ).
tff(func_def_273,type,
sK179: 'Int_int_fun$' > $int ).
tff(func_def_274,type,
sK180: 'Int_int_fun$' > $int ).
tff(func_def_275,type,
sK181: 'Int_int_fun$' > $int ).
tff(func_def_276,type,
sK182: $real > 'Nat$' ).
tff(func_def_277,type,
sK183: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_278,type,
sK184: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_279,type,
sK185: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_280,type,
sK186: ( 'Nat_bool_fun$' * 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_281,type,
sK187: ( 'Nat_bool_fun$' * 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_282,type,
sK188: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_283,type,
sK189: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_284,type,
sK190: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_285,type,
sK191: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_286,type,
sK192: 'Nat_nat_fun$' > 'Nat$' ).
tff(pred_def_1,type,
'finite$b': 'Int_set$' > $o ).
tff(pred_def_2,type,
'finite$c': 'Real_set$' > $o ).
tff(pred_def_3,type,
'member$c': ( $real * 'Real_set$' ) > $o ).
tff(pred_def_4,type,
'fun_app$r': ( 'Nat_real_fun_bool_fun$' * 'Nat_real_fun$' ) > $o ).
tff(pred_def_5,type,
'less_eq$e': ( 'Complex_bool_fun$' * 'Complex_bool_fun$' ) > $o ).
tff(pred_def_6,type,
'less_eq$c': ( 'Nat_set$' * 'Nat_set$' ) > $o ).
tff(pred_def_7,type,
'member$a': ( 'Nat$' * 'Nat_set$' ) > $o ).
tff(pred_def_8,type,
'fun_app$g': ( 'Nat_bool_fun$' * 'Nat$' ) > $o ).
tff(pred_def_9,type,
'less_eq$a': ( 'Complex_set$' * 'Complex_set$' ) > $o ).
tff(pred_def_10,type,
'fun_app$f': ( 'Complex_bool_fun$' * 'Complex$' ) > $o ).
tff(pred_def_12,type,
'member$': ( 'Complex$' * 'Complex_set$' ) > $o ).
tff(pred_def_13,type,
'finite$': 'Complex_set$' > $o ).
tff(pred_def_14,type,
'fun_app$t': ( 'Real_bool_fun$' * $real ) > $o ).
tff(pred_def_15,type,
'finite$a': 'Nat_set$' > $o ).
tff(pred_def_16,type,
'less_eq$f': ( 'Nat_bool_fun$' * 'Nat_bool_fun$' ) > $o ).
tff(pred_def_17,type,
'less_eq$b': ( 'Real_set$' * 'Real_set$' ) > $o ).
tff(pred_def_18,type,
'member$b': ( $int * 'Int_set$' ) > $o ).
tff(pred_def_19,type,
'less_eq$d': ( 'Int_set$' * 'Int_set$' ) > $o ).
tff(pred_def_20,type,
'fun_app$b': ( 'Int_bool_fun$' * $int ) > $o ).
tff(pred_def_25,type,
sP7: ( 'Complex$' * 'Complex_nat_fun$' * 'Nat_complex_fun$' * 'Complex_set$' ) > $o ).
tff(pred_def_26,type,
sP13: ( 'Nat$' * 'Nat_complex_fun$' * 'Complex_nat_fun$' * 'Nat_set$' ) > $o ).
tff(pred_def_27,type,
sP19: ( 'Nat$' * 'Nat_nat_fun$' * 'Nat_nat_fun$' * 'Nat_set$' ) > $o ).
tff(pred_def_28,type,
sP65: ( 'Nat_real_fun$' * 'Nat_bool_fun$' ) > $o ).
tff(pred_def_29,type,
sP87: ( $real * $real * $real ) > $o ).
tff(pred_def_30,type,
sP88: ( $real * $real * $real ) > $o ).
tff(pred_def_31,type,
sP89: ( $real * $real * $real ) > $o ).
tff(pred_def_32,type,
sP90: ( $real * $real * $real ) > $o ).
tff(pred_def_34,type,
sP92: ( $int * $int * $int ) > $o ).
tff(pred_def_35,type,
sP93: ( $int * $int * $int ) > $o ).
tff(pred_def_36,type,
sP94: ( $int * $int * $int ) > $o ).
tff(pred_def_37,type,
sP95: ( $int * $int * $int ) > $o ).
tff(f35,conjecture,
'thesis$',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture34) ).
tff(f36,negated_conjecture,
~ 'thesis$',
inference(negated_conjecture,[status(cth)],[f35]) ).
tff(f37,axiom,
! [X0: $real] :
( ( $lesseq(0/1,X0)
& ! [X1: 'Complex$'] :
( 'member$'(X1,'closed_segment$'('zero$','fun_app$'('of_nat$','n$')))
=> $lesseq('fun_app$i'('norm$','prod$'('uu$'(X1),'atLeastAtMost$'('fun_app$p'('nat$',1),'n$'))),X0) ) )
=> 'thesis$' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom35) ).
tff(f42,axiom,
$lesseq(0/1,'c$'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom40) ).
tff(f43,axiom,
! [X0: 'Complex$'] :
( 'member$'(X0,'closed_segment$'('zero$','fun_app$'('of_nat$','n$')))
=> $lesseq('fun_app$i'('norm$','prod$'('uu$'(X0),'atLeastAtMost$'('fun_app$p'('nat$',1),'n$'))),'c$') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom41) ).
tff(f174,axiom,
! [X0: 'Nat_complex_fun$',X1: 'Nat_set$'] : ( 'prod$f'('uuk$'(X0),X1) = 'fun_app$i'('norm$','prod$'(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom172) ).
tff(f231,axiom,
! [X0: $int] :
( ( $lesseq(0,X0)
& ! [X1: 'Nat$'] :
( ( X0 = 'fun_app$m'('of_nat$a',X1) )
=> $false ) )
=> $false ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom229) ).
tff(f516,axiom,
! [X0: $int] : $less(X0,$sum(X0,1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom514) ).
tff(f558,axiom,
! [X0: $int,X1: $int] :
( $less(X0,X1)
=> ~ $less(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom556) ).
tff(f634,axiom,
! [X0: 'Nat$'] : ( 'fun_app$p'('nat$','fun_app$m'('of_nat$a',X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom632) ).
tff(f641,plain,
! [X0: $real] :
( ( ~ $less(X0,0/1)
& ! [X1: 'Complex$'] :
( 'member$'(X1,'closed_segment$'('zero$','fun_app$'('of_nat$','n$')))
=> ~ $less(X0,'fun_app$i'('norm$','prod$'('uu$'(X1),'atLeastAtMost$'('fun_app$p'('nat$',1),'n$')))) ) )
=> 'thesis$' ),
inference(theory_normalization,[],[f37]) ).
tff(f642,plain,
~ $less('c$',0/1),
inference(theory_normalization,[],[f42]) ).
tff(f643,plain,
! [X0: 'Complex$'] :
( 'member$'(X0,'closed_segment$'('zero$','fun_app$'('of_nat$','n$')))
=> ~ $less('c$','fun_app$i'('norm$','prod$'('uu$'(X0),'atLeastAtMost$'('fun_app$p'('nat$',1),'n$')))) ),
inference(theory_normalization,[],[f43]) ).
tff(f744,plain,
! [X0: $int] :
( ( ~ $less(X0,0)
& ! [X1: 'Nat$'] :
( ( X0 = 'fun_app$m'('of_nat$a',X1) )
=> $false ) )
=> $false ),
inference(theory_normalization,[],[f231]) ).
tff(f934,plain,
~ 'thesis$',
inference(flattening,[],[f36]) ).
tff(f971,plain,
! [X0: $real] :
( 'thesis$'
| $less(X0,0/1)
| ? [X1: 'Complex$'] :
( $less(X0,'fun_app$i'('norm$','prod$'('uu$'(X1),'atLeastAtMost$'('fun_app$p'('nat$',1),'n$'))))
& 'member$'(X1,'closed_segment$'('zero$','fun_app$'('of_nat$','n$'))) ) ),
inference(ennf_transformation,[],[f641]) ).
tff(f972,plain,
! [X0: $real] :
( 'thesis$'
| $less(X0,0/1)
| ? [X1: 'Complex$'] :
( $less(X0,'fun_app$i'('norm$','prod$'('uu$'(X1),'atLeastAtMost$'('fun_app$p'('nat$',1),'n$'))))
& 'member$'(X1,'closed_segment$'('zero$','fun_app$'('of_nat$','n$'))) ) ),
inference(flattening,[],[f971]) ).
tff(f973,plain,
! [X0: 'Complex$'] :
( ~ $less('c$','fun_app$i'('norm$','prod$'('uu$'(X0),'atLeastAtMost$'('fun_app$p'('nat$',1),'n$'))))
| ~ 'member$'(X0,'closed_segment$'('zero$','fun_app$'('of_nat$','n$'))) ),
inference(ennf_transformation,[],[f643]) ).
tff(f1089,plain,
! [X0: $int] :
( $false
| $less(X0,0)
| ? [X1: 'Nat$'] :
( $true
& ( X0 = 'fun_app$m'('of_nat$a',X1) ) ) ),
inference(ennf_transformation,[],[f744]) ).
tff(f1090,plain,
! [X0: $int] :
( $false
| $less(X0,0)
| ? [X1: 'Nat$'] :
( $true
& ( X0 = 'fun_app$m'('of_nat$a',X1) ) ) ),
inference(flattening,[],[f1089]) ).
tff(f1326,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,X0)
| ~ $less(X0,X1) ),
inference(ennf_transformation,[],[f558]) ).
tff(f1479,plain,
~ 'thesis$',
inference(cnf_transformation,[],[f934]) ).
tff(f1480,plain,
! [X0: $real] :
( 'member$'(sK0(X0),'closed_segment$'('zero$','fun_app$'('of_nat$','n$')))
| $less(X0,0/1)
| 'thesis$' ),
inference(cnf_transformation,[],[f972]) ).
tff(f1481,plain,
! [X0: $real] :
( $less(X0,'fun_app$i'('norm$','prod$'('uu$'(sK0(X0)),'atLeastAtMost$'('fun_app$p'('nat$',1),'n$'))))
| $less(X0,0/1)
| 'thesis$' ),
inference(cnf_transformation,[],[f972]) ).
tff(f1487,plain,
~ $less('c$',0/1),
inference(cnf_transformation,[],[f642]) ).
tff(f1488,plain,
! [X0: 'Complex$'] :
( ~ 'member$'(X0,'closed_segment$'('zero$','fun_app$'('of_nat$','n$')))
| ~ $less('c$','fun_app$i'('norm$','prod$'('uu$'(X0),'atLeastAtMost$'('fun_app$p'('nat$',1),'n$')))) ),
inference(cnf_transformation,[],[f973]) ).
tff(f1748,plain,
! [X0: 'Nat_complex_fun$',X1: 'Nat_set$'] : ( 'prod$f'('uuk$'(X0),X1) = 'fun_app$i'('norm$','prod$'(X0,X1)) ),
inference(cnf_transformation,[],[f174]) ).
tff(f1910,plain,
! [X0: $int] :
( $less(X0,0)
| ( 'fun_app$m'('of_nat$a',sK69(X0)) = X0 ) ),
inference(cnf_transformation,[],[f1090]) ).
tff(f2458,plain,
! [X0: $int] : $less(X0,$sum(X0,1)),
inference(cnf_transformation,[],[f516]) ).
tff(f2516,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,X0) ),
inference(cnf_transformation,[],[f1326]) ).
tff(f2615,plain,
! [X0: 'Nat$'] : ( 'fun_app$p'('nat$','fun_app$m'('of_nat$a',X0)) = X0 ),
inference(cnf_transformation,[],[f634]) ).
tff(f2773,plain,
'thesis$',
inference(consistent_polarity_flipping,[],[f1479]) ).
tff(f2774,plain,
! [X0: $real] :
( $less(X0,'fun_app$i'('norm$','prod$'('uu$'(sK0(X0)),'atLeastAtMost$'('fun_app$p'('nat$',1),'n$'))))
| $less(X0,0/1)
| ~ 'thesis$' ),
inference(consistent_polarity_flipping,[],[f1481]) ).
tff(f2775,plain,
! [X0: $real] :
( ~ 'member$'(sK0(X0),'closed_segment$'('zero$','fun_app$'('of_nat$','n$')))
| $less(X0,0/1)
| ~ 'thesis$' ),
inference(consistent_polarity_flipping,[],[f1480]) ).
tff(f2776,plain,
! [X0: 'Complex$'] :
( 'member$'(X0,'closed_segment$'('zero$','fun_app$'('of_nat$','n$')))
| ~ $less('c$','fun_app$i'('norm$','prod$'('uu$'(X0),'atLeastAtMost$'('fun_app$p'('nat$',1),'n$')))) ),
inference(consistent_polarity_flipping,[],[f1488]) ).
tff(f3186,definition,
( spl193_2
<=> ! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl193_2])],[avatar_definition]) ).
tff(f3187,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(X1,X0)
| ~ $less(X0,X1) )
| ~ spl193_2 ),
inference(avatar_component_clause,[],[f3186]) ).
tff(f3189,plain,
spl193_2,
inference(avatar_split_clause,[],[f2516,f3186]) ).
tff(f3231,definition,
( spl193_13
<=> 'thesis$' ),
introduced(definition,[new_symbols(definition,[spl193_13])],[avatar_definition]) ).
tff(f3235,definition,
( spl193_14
<=> ! [X0: $real] :
( ~ 'member$'(sK0(X0),'closed_segment$'('zero$','fun_app$'('of_nat$','n$')))
| $less(X0,0/1) ) ),
introduced(definition,[new_symbols(definition,[spl193_14])],[avatar_definition]) ).
tff(f3236,plain,
( ! [X0: $real] :
( ~ 'member$'(sK0(X0),'closed_segment$'('zero$','fun_app$'('of_nat$','n$')))
| $less(X0,0/1) )
| ~ spl193_14 ),
inference(avatar_component_clause,[],[f3235]) ).
tff(f3237,plain,
( ~ spl193_13
| spl193_14 ),
inference(avatar_split_clause,[],[f2775,f3235,f3231]) ).
tff(f3239,definition,
( spl193_15
<=> ! [X0: $real] :
( $less(X0,'fun_app$i'('norm$','prod$'('uu$'(sK0(X0)),'atLeastAtMost$'('fun_app$p'('nat$',1),'n$'))))
| $less(X0,0/1) ) ),
introduced(definition,[new_symbols(definition,[spl193_15])],[avatar_definition]) ).
tff(f3240,plain,
( ! [X0: $real] :
( $less(X0,'fun_app$i'('norm$','prod$'('uu$'(sK0(X0)),'atLeastAtMost$'('fun_app$p'('nat$',1),'n$'))))
| $less(X0,0/1) )
| ~ spl193_15 ),
inference(avatar_component_clause,[],[f3239]) ).
tff(f3241,plain,
( ~ spl193_13
| spl193_15 ),
inference(avatar_split_clause,[],[f2774,f3239,f3231]) ).
tff(f3242,plain,
spl193_13,
inference(avatar_split_clause,[],[f2773,f3231]) ).
tff(f3258,plain,
( ! [X0: $int] : ~ $less($sum(X0,1),X0)
| ~ spl193_2 ),
inference(resolution,[],[f3187,f2458]) ).
tff(f4400,plain,
( ( $sum(0,1) = 'fun_app$m'('of_nat$a',sK69($sum(0,1))) )
| ~ spl193_2 ),
inference(resolution,[],[f1910,f3258]) ).
tff(f4416,plain,
( ( 1 = 'fun_app$m'('of_nat$a',sK69(1)) )
| ~ spl193_2 ),
inference(evaluation,[],[f4400]) ).
tff(f4516,plain,
( ( 'fun_app$p'('nat$',1) = sK69(1) )
| ~ spl193_2 ),
inference(superposition,[],[f2615,f4416]) ).
tff(f10430,plain,
( ! [X0: $real] :
( $less(X0,'prod$f'('uuk$'('uu$'(sK0(X0))),'atLeastAtMost$'('fun_app$p'('nat$',1),'n$')))
| $less(X0,0/1) )
| ~ spl193_15 ),
inference(forward_demodulation,[],[f3240,f1748]) ).
tff(f10431,plain,
( ! [X0: $real] :
( $less(X0,'prod$f'('uuk$'('uu$'(sK0(X0))),'atLeastAtMost$'(sK69(1),'n$')))
| $less(X0,0/1) )
| ~ spl193_2
| ~ spl193_15 ),
inference(forward_demodulation,[],[f10430,f4516]) ).
tff(f11805,plain,
! [X0: 'Complex$'] :
( ~ $less('c$','prod$f'('uuk$'('uu$'(X0)),'atLeastAtMost$'('fun_app$p'('nat$',1),'n$')))
| 'member$'(X0,'closed_segment$'('zero$','fun_app$'('of_nat$','n$'))) ),
inference(forward_demodulation,[],[f2776,f1748]) ).
tff(f11806,plain,
( ! [X0: 'Complex$'] :
( ~ $less('c$','prod$f'('uuk$'('uu$'(X0)),'atLeastAtMost$'(sK69(1),'n$')))
| 'member$'(X0,'closed_segment$'('zero$','fun_app$'('of_nat$','n$'))) )
| ~ spl193_2 ),
inference(forward_demodulation,[],[f11805,f4516]) ).
tff(f19158,plain,
( 'member$'(sK0('c$'),'closed_segment$'('zero$','fun_app$'('of_nat$','n$')))
| $less('c$',0/1)
| ~ spl193_2
| ~ spl193_15 ),
inference(resolution,[],[f11806,f10431]) ).
tff(f19162,plain,
( $less('c$',0/1)
| ~ spl193_2
| ~ spl193_14
| ~ spl193_15 ),
inference(forward_subsumption_resolution,[],[f19158,f3236]) ).
tff(f19163,plain,
( $false
| ~ spl193_2
| ~ spl193_14
| ~ spl193_15 ),
inference(forward_subsumption_resolution,[],[f19162,f1487]) ).
tff(f19164,plain,
( ~ spl193_2
| ~ spl193_14
| ~ spl193_15 ),
inference(avatar_contradiction_clause,[],[f19163]) ).
cnf(s2,plain,
spl193_2,
inference(sat_conversion,[],[f3189]) ).
cnf(s19,plain,
( ~ spl193_13
| spl193_14 ),
inference(sat_conversion,[],[f3237]) ).
cnf(s20,plain,
( ~ spl193_13
| spl193_15 ),
inference(sat_conversion,[],[f3241]) ).
cnf(s21,plain,
spl193_13,
inference(sat_conversion,[],[f3242]) ).
cnf(s187,plain,
( ~ spl193_2
| ~ spl193_14
| ~ spl193_15 ),
inference(sat_conversion,[],[f19164]) ).
cnf(s193,plain,
spl193_15,
inference(rat,[],[s20,s21]) ).
cnf(s194,plain,
spl193_14,
inference(rat,[],[s19,s21]) ).
cnf(s195,plain,
~ spl193_2,
inference(rat,[],[s187,s193,s194]) ).
cnf(s204,plain,
$false,
inference(rat,[],[s2,s195]) ).
tff(f19165,plain,
$false,
inference(avatar_sat_refutation,[],[s204]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP314_1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n003.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 12:55:41 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 2.38/1.01 % (506388)Will run a generic schedule for satisfiability detection.
% 2.38/1.01 % (506399)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2631328724:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.38/1.01 % (506394)% WARNING: option uhcvi not known.
% 2.38/1.01 % (506393)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2104998748_2999 on theBenchmark for (2999ds/0Mi)
% 2.38/1.01 % (506394)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1143265611:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.38/1.01 % (506395)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1725896768:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.38/1.01 % (506396)dis+10_1_sil=32000:sp=arity:random_seed=78445454:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.38/1.01 % (506397)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2034980264:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.38/1.01 % (506398)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4100888904:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.38/1.01 % (506399)Instruction limit reached!
% 2.38/1.01 % (506399)------------------------------
% 2.38/1.01 % (506399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/1.01 % (506399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/1.01 % (506399)CaDiCaL version: 2.1.3
% 2.38/1.01 % (506399)Termination reason: Instruction limit
% 2.38/1.01 % (506399)Termination phase: Saturation
% 2.38/1.01 % (506399)Time elapsed: 0.047 s
% 2.38/1.01 % (506399)Peak memory usage: 15 MB
% 2.38/1.01 % (506399)Instructions burned: 160 (million)
% 2.38/1.01 % (506393)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 2.38/1.01 % (506393)Terminated due to inappropriate strategy.
% 2.38/1.01 % (506393)------------------------------
% 2.38/1.01 % (506393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/1.01 % (506393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/1.01 % (506393)CaDiCaL version: 2.1.3
% 2.38/1.01 % (506393)Termination reason: Inappropriate
% 2.38/1.01 % (506393)Time elapsed: 0.044 s
% 2.38/1.01 % (506393)Peak memory usage: 13 MB
% 2.38/1.01 % (506393)Instructions burned: 94 (million)
% 2.38/1.01 % (506393)------------------------------
% 2.38/1.01 % (506393)------------------------------
% 2.38/1.01 % (506396)Instruction limit reached!
% 2.38/1.01 % (506396)------------------------------
% 2.38/1.01 % (506396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/1.01 % (506396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/1.01 % (506396)CaDiCaL version: 2.1.3
% 2.38/1.01 % (506396)Termination reason: Instruction limit
% 2.38/1.01 % (506396)Termination phase: Saturation
% 2.38/1.01 % (506396)Time elapsed: 0.048 s
% 2.38/1.01 % (506396)Peak memory usage: 13 MB
% 2.38/1.01 % (506396)Instructions burned: 104 (million)
% 2.38/1.01 % (506407)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=976552044:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 2.38/1.01 % (506397)Instruction limit reached!
% 2.38/1.01 % (506397)------------------------------
% 2.38/1.01 % (506397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/1.01 % (506397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/1.01 % (506397)CaDiCaL version: 2.1.3
% 2.38/1.01 % (506397)Termination reason: Instruction limit
% 2.38/1.01 % (506397)Termination phase: Saturation
% 2.38/1.01 % (506397)Time elapsed: 0.056 s
% 2.38/1.01 % (506397)Peak memory usage: 14 MB
% 2.38/1.01 % (506397)Instructions burned: 116 (million)
% 2.38/1.01 % (506398)Instruction limit reached!
% 2.38/1.01 % (506398)------------------------------
% 2.38/1.01 % (506398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/1.01 % (506398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/1.01 % (506398)CaDiCaL version: 2.1.3
% 2.38/1.01 % (506398)Termination reason: Instruction limit
% 2.38/1.01 % (506398)Termination phase: Saturation
% 2.38/1.01 % (506398)Time elapsed: 0.063 s
% 2.38/1.01 % (506398)Peak memory usage: 14 MB
% 2.38/1.01 % (506398)Instructions burned: 132 (million)
% 2.38/1.01 % (506408)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1077658877:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.38/1.01 % (506409)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=3954376805:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 3.96/1.09 % (506407)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 3.96/1.09 % (506407)Terminated due to inappropriate strategy.
% 3.96/1.09 % (506407)------------------------------
% 3.96/1.09 % (506407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.96/1.09 % (506407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.09 % (506407)CaDiCaL version: 2.1.3
% 3.96/1.09 % (506407)Termination reason: Inappropriate
% 3.96/1.09 % (506407)Time elapsed: 0.021 s
% 3.96/1.09 % (506407)Peak memory usage: 13 MB
% 3.96/1.09 % (506407)Instructions burned: 81 (million)
% 3.96/1.09 % (506407)------------------------------
% 3.96/1.09 % (506407)------------------------------
% 3.96/1.09 % (506411)ott-21_1_sil=16000:fs=off:random_seed=125643816:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 3.96/1.09 % (506412)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=985352434:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 3.96/1.09 % (506415)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3788216844:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 3.96/1.09 % (506408)Instruction limit reached!
% 3.96/1.09 % (506408)------------------------------
% 3.96/1.09 % (506408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.96/1.09 % (506408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.09 % (506408)CaDiCaL version: 2.1.3
% 3.96/1.09 % (506408)Termination reason: Instruction limit
% 3.96/1.09 % (506408)Termination phase: Saturation
% 3.96/1.09 % (506408)Time elapsed: 0.062 s
% 3.96/1.09 % (506408)Peak memory usage: 14 MB
% 3.96/1.09 % (506408)Instructions burned: 132 (million)
% 3.96/1.09 % (506415)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 3.96/1.09 % (506415)Terminated due to inappropriate strategy.
% 3.96/1.09 % (506415)------------------------------
% 3.96/1.09 % (506415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.96/1.09 % (506415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.09 % (506415)CaDiCaL version: 2.1.3
% 3.96/1.09 % (506415)Termination reason: Inappropriate
% 3.96/1.09 % (506415)Time elapsed: 0.038 s
% 3.96/1.09 % (506415)Peak memory usage: 12 MB
% 3.96/1.09 % (506415)Instructions burned: 84 (million)
% 3.96/1.09 % (506415)------------------------------
% 3.96/1.09 % (506415)------------------------------
% 3.96/1.09 % (506419)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3584010244:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 3.96/1.09 % (506420)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1362977364:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 3.96/1.09 % (506411)Instruction limit reached!
% 3.96/1.09 % (506411)------------------------------
% 3.96/1.09 % (506411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.96/1.09 % (506411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.09 % (506411)CaDiCaL version: 2.1.3
% 3.96/1.09 % (506411)Termination reason: Instruction limit
% 3.96/1.09 % (506411)Termination phase: Saturation
% 3.96/1.09 % (506411)Time elapsed: 0.086 s
% 3.96/1.09 % (506411)Peak memory usage: 14 MB
% 3.96/1.09 % (506411)Instructions burned: 180 (million)
% 3.96/1.09 % (506423)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1985626832:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 3.96/1.09 % (506420)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 3.96/1.09 % (506420)Terminated due to inappropriate strategy.
% 3.96/1.09 % (506420)------------------------------
% 3.96/1.09 % (506420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.96/1.09 % (506420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.09 % (506420)CaDiCaL version: 2.1.3
% 3.96/1.09 % (506420)Termination reason: Inappropriate
% 3.96/1.09 % (506420)Time elapsed: 0.038 s
% 3.96/1.09 % (506420)Peak memory usage: 12 MB
% 3.96/1.09 % (506420)Instructions burned: 85 (million)
% 3.96/1.09 % (506420)------------------------------
% 3.96/1.09 % (506420)------------------------------
% 3.96/1.09 % (506425)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2647661516:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 3.96/1.09 % (506409)Instruction limit reached!
% 3.96/1.09 % (506409)------------------------------
% 3.96/1.09 % (506409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.96/1.09 % (506409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.09 % (506409)CaDiCaL version: 2.1.3
% 3.96/1.09 % (506409)Termination reason: Instruction limit
% 3.96/1.09 % (506409)Termination phase: Saturation
% 3.96/1.09 % (506409)Time elapsed: 0.312 s
% 3.96/1.09 % (506409)Peak memory usage: 16 MB
% 3.96/1.09 % (506409)Instructions burned: 685 (million)
% 3.96/1.09 % (506412)Instruction limit reached!
% 3.96/1.09 % (506412)------------------------------
% 3.96/1.09 % (506412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.96/1.09 % (506412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.09 % (506412)CaDiCaL version: 2.1.3
% 3.96/1.09 % (506412)Termination reason: Instruction limit
% 3.96/1.09 % (506412)Termination phase: Saturation
% 3.96/1.09 % (506412)Time elapsed: 0.305 s
% 3.96/1.09 % (506412)Peak memory usage: 16 MB
% 3.96/1.09 % (506412)Instructions burned: 477 (million)
% 3.96/1.09 % (506427)fmb+10_1_sil=64000:random_seed=3932756334:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 3.96/1.09 % (506428)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2142584298:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 3.96/1.09 % (506427)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 3.96/1.09 % (506427)Terminated due to inappropriate strategy.
% 3.96/1.09 % (506427)------------------------------
% 3.96/1.09 % (506427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.96/1.09 % (506427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.09 % (506427)CaDiCaL version: 2.1.3
% 3.96/1.09 % (506427)Termination reason: Inappropriate
% 3.96/1.09 % (506427)Time elapsed: 0.040 s
% 3.96/1.09 % (506427)Peak memory usage: 13 MB
% 3.96/1.09 % (506427)Instructions burned: 87 (million)
% 3.96/1.09 % (506427)------------------------------
% 3.96/1.09 % (506427)------------------------------
% 3.96/1.09 % (506425)Instruction limit reached!
% 3.96/1.09 % (506425)------------------------------
% 3.96/1.09 % (506425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.96/1.09 % (506425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.09 % (506425)CaDiCaL version: 2.1.3
% 3.96/1.09 % (506425)Termination reason: Instruction limit
% 3.96/1.09 % (506425)Termination phase: Saturation
% 3.96/1.09 % (506425)Time elapsed: 0.239 s
% 3.96/1.09 % (506425)Peak memory usage: 20 MB
% 3.96/1.09 % (506425)Instructions burned: 881 (million)
% 3.96/1.09 % (506428)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 3.96/1.09 % (506428)Terminated due to inappropriate strategy.
% 3.96/1.09 % (506428)------------------------------
% 3.96/1.09 % (506428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.96/1.09 % (506428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.09 % (506428)CaDiCaL version: 2.1.3
% 3.96/1.09 % (506428)Termination reason: Inappropriate
% 3.96/1.09 % (506428)Time elapsed: 0.037 s
% 3.96/1.09 % (506428)Peak memory usage: 12 MB
% 3.96/1.09 % (506428)Instructions burned: 81 (million)
% 3.96/1.09 % (506428)------------------------------
% 3.96/1.09 % (506428)------------------------------
% 3.96/1.09 % (506432)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2702765864:i=5131_2994 on theBenchmark for (2994ds/5131Mi)
% 3.96/1.09 % (506431)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3630913488:fmbsr=1.7:i=920_2994 on theBenchmark for (2994ds/920Mi)
% 3.96/1.09 % (506433)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1730949119:i=1472:ins=7:fdi=8:gsp=on_2994 on theBenchmark for (2994ds/1472Mi)
% 3.96/1.09 % (506431)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 3.96/1.09 % (506431)Terminated due to inappropriate strategy.
% 3.96/1.09 % (506431)------------------------------
% 3.96/1.09 % (506431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.96/1.09 % (506431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.09 % (506431)CaDiCaL version: 2.1.3
% 3.96/1.09 % (506431)Termination reason: Inappropriate
% 3.96/1.09 % (506431)Time elapsed: 0.038 s
% 3.96/1.09 % (506431)Peak memory usage: 12 MB
% 3.96/1.09 % (506431)Instructions burned: 85 (million)
% 3.96/1.09 % (506431)------------------------------
% 3.96/1.09 % (506431)------------------------------
% 3.96/1.09 % (506437)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2158500100:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 3.96/1.09 % (506437)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 3.96/1.09 % (506437)Terminated due to inappropriate strategy.
% 3.96/1.09 % (506437)------------------------------
% 3.96/1.09 % (506437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.96/1.09 % (506437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.09 % (506437)CaDiCaL version: 2.1.3
% 3.96/1.09 % (506437)Termination reason: Inappropriate
% 3.96/1.09 % (506437)Time elapsed: 0.043 s
% 3.96/1.09 % (506437)Peak memory usage: 13 MB
% 3.96/1.09 % (506437)Instructions burned: 93 (million)
% 3.96/1.09 % (506437)------------------------------
% 3.96/1.09 % (506437)------------------------------
% 3.96/1.09 % (506394) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-506388-506394"...
% 3.96/1.09 % (506394)...printing done.
% 3.96/1.09 % (506394)Refutation found. Thanks to Tanya!
% 3.96/1.09 % SZS status Theorem for theBenchmark
% 3.96/1.09 % SZS output start Proof for theBenchmark
% See solution above
% 3.96/1.09 % (506394)------------------------------
% 3.96/1.09 % (506394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.96/1.09 % (506394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.09 % (506394)CaDiCaL version: 2.1.3
% 3.96/1.09 % (506394)Termination reason: Refutation
% 3.96/1.09 % (506394)Time elapsed: 0.580 s
% 3.96/1.09 % (506394)Peak memory usage: 21 MB
% 3.96/1.09 % (506394)Instructions burned: 945 (million)
% 3.96/1.09 % (506388)Success in time 0.656 s
% 3.96/1.09 % Vampire exiting
%------------------------------------------------------------------------------