%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n002.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 11:33:35 AM UTC 2026
% Result : Theorem 9.15s 2.06s
% Output : Refutation 10.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 33 ( 9 unt; 0 typ; 3 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 59 ( 22 ~; 23 |; 5 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number arithmetic : 55 ( 24 atm; 0 fun; 24 num; 7 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 : 46 ( 43 usr; 5 prp; 0-3 aty)
% Number of functors : 130 ( 128 usr; 19 con; 0-3 aty)
% Number of variables : 15 ( 13 !; 2 ?; 15 :)
% 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,
sK20: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_109,type,
sK21: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_110,type,
sK22: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_111,type,
sK23: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_112,type,
sK24: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_113,type,
sK25: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_114,type,
sK26: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_115,type,
sK27: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_116,type,
sK28: $real > 'Complex$' ).
tff(func_def_117,type,
sK29: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_118,type,
sK30: $real > 'Nat$' ).
tff(func_def_119,type,
sK31: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_120,type,
sK32: ( 'Nat_set$' * 'Nat_complex_fun$' * 'Nat_complex_fun$' ) > 'Nat$' ).
tff(func_def_121,type,
sK33: ( 'Complex_set$' * 'Complex_set$' ) > 'Complex$' ).
tff(func_def_122,type,
sK34: $real > 'Nat$' ).
tff(func_def_123,type,
sK35: $int > $int ).
tff(func_def_124,type,
sK36: $int > 'Nat$' ).
tff(func_def_125,type,
sK37: $int > 'Nat$' ).
tff(func_def_126,type,
sK38: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_127,type,
sK39: ( 'Nat_bool_fun$' * 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_128,type,
sK40: $int > 'Nat$' ).
tff(func_def_129,type,
sK41: $real > 'Complex$' ).
tff(func_def_130,type,
sK42: ( 'Nat_complex_fun$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_131,type,
sK43: ( 'Nat_complex_fun$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_132,type,
sK44: $int > 'Nat$' ).
tff(func_def_133,type,
sK45: ( 'Complex_set$' * 'Complex_set$' ) > 'Complex$' ).
tff(func_def_134,type,
sK46: ( 'Complex_set$' * 'Complex_set$' ) > 'Complex$' ).
tff(func_def_135,type,
sK47: $int > $int ).
tff(func_def_136,type,
sK48: ( 'Nat$' * 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_137,type,
sK49: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
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 ) > $o ).
tff(pred_def_25,type,
sP0: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_26,type,
sP1: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_27,type,
sP2: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_28,type,
sP3: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_29,type,
sP4: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_30,type,
sP5: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_31,type,
sP6: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_32,type,
sP7: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_33,type,
sP8: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_34,type,
sP9: ( $real * $real * $real ) > $o ).
tff(pred_def_35,type,
sP10: ( $real * $real * $real ) > $o ).
tff(pred_def_36,type,
sP11: ( $real * $real * $real ) > $o ).
tff(pred_def_37,type,
sP12: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_38,type,
sP13: ( 'Nat$' * 'Nat$' * 'Nat_bool_fun$' ) > $o ).
tff(pred_def_39,type,
sP14: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_40,type,
sP15: ( 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_41,type,
sP16: ( $int * $int * $int ) > $o ).
tff(pred_def_42,type,
sP17: ( $int * $int * $int ) > $o ).
tff(pred_def_43,type,
sP18: ( $int * $int * $int ) > $o ).
tff(pred_def_44,type,
sP19: ( 'Nat$' * 'Nat$' * 'Nat_bool_fun$' ) > $o ).
tff(f35,conjecture,
'thesis$',
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(f698,plain,
~ $less('c$',0/1),
inference(theory_normalization,[],[f42]) ).
tff(f761,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(f763,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(f911,plain,
~ 'thesis$',
inference(flattening,[],[f36]) ).
tff(f1274,plain,
! [X0: 'Complex$'] :
( ~ '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(ennf_transformation,[],[f763]) ).
tff(f1321,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,[],[f761]) ).
tff(f1322,plain,
! [X0: $real] :
( $less(X0,0/1)
| ? [X1: 'Complex$'] :
( $less(X0,'fun_app$i'('norm$','prod$'('uu$'(X1),'atLeastAtMost$'('fun_app$p'('nat$',1),'n$'))))
& 'member$'(X1,'closed_segment$'('zero$','fun_app$'('of_nat$','n$'))) )
| 'thesis$' ),
inference(flattening,[],[f1321]) ).
tff(f1671,plain,
! [X0: $real] :
( $less(X0,0/1)
| ( $less(X0,'fun_app$i'('norm$','prod$'('uu$'(sK41(X0)),'atLeastAtMost$'('fun_app$p'('nat$',1),'n$'))))
& 'member$'(sK41(X0),'closed_segment$'('zero$','fun_app$'('of_nat$','n$'))) )
| 'thesis$' ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK41]),skolemize(X1,sK41(X0))],[f1322]) ).
tff(f1945,plain,
~ $less('c$',0/1),
inference(cnf_transformation,[],[f698]) ).
tff(f2171,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(cnf_transformation,[],[f1274]) ).
tff(f2382,plain,
! [X0: $real] :
( 'member$'(sK41(X0),'closed_segment$'('zero$','fun_app$'('of_nat$','n$')))
| $less(X0,0/1)
| 'thesis$' ),
inference(cnf_transformation,[],[f1671]) ).
tff(f2383,plain,
! [X0: $real] :
( $less(X0,'fun_app$i'('norm$','prod$'('uu$'(sK41(X0)),'atLeastAtMost$'('fun_app$p'('nat$',1),'n$'))))
| 'thesis$'
| $less(X0,0/1) ),
inference(cnf_transformation,[],[f1671]) ).
tff(f2491,plain,
~ 'thesis$',
inference(cnf_transformation,[],[f911]) ).
tff(f2766,definition,
( spl50_1
<=> 'thesis$' ),
introduced(definition,[new_symbols(definition,[spl50_1])],[avatar_definition]) ).
tff(f2768,plain,
( ~ 'thesis$'
| spl50_1 ),
inference(avatar_component_clause,[],[f2766]) ).
tff(f2769,plain,
~ spl50_1,
inference(avatar_split_clause,[],[f2491,f2766]) ).
tff(f2783,plain,
( $less('c$','fun_app$i'('norm$','prod$'('uu$'(sK41('c$')),'atLeastAtMost$'('fun_app$p'('nat$',1),'n$'))))
| spl50_1 ),
inference(unit_resulting_resolution,[],[f2383,f1945,f2768]) ).
tff(f2799,plain,
( 'member$'(sK41('c$'),'closed_segment$'('zero$','fun_app$'('of_nat$','n$')))
| spl50_1 ),
inference(unit_resulting_resolution,[],[f2382,f1945,f2768]) ).
tff(f2823,definition,
( spl50_6
<=> $less('c$','fun_app$i'('norm$','prod$'('uu$'(sK41('c$')),'atLeastAtMost$'('fun_app$p'('nat$',1),'n$')))) ),
introduced(definition,[new_symbols(definition,[spl50_6])],[avatar_definition]) ).
tff(f2825,plain,
( $less('c$','fun_app$i'('norm$','prod$'('uu$'(sK41('c$')),'atLeastAtMost$'('fun_app$p'('nat$',1),'n$'))))
| ~ spl50_6 ),
inference(avatar_component_clause,[],[f2823]) ).
tff(f2826,plain,
( spl50_6
| spl50_1 ),
inference(avatar_split_clause,[],[f2783,f2766,f2823]) ).
tff(f2828,definition,
( spl50_7
<=> 'member$'(sK41('c$'),'closed_segment$'('zero$','fun_app$'('of_nat$','n$'))) ),
introduced(definition,[new_symbols(definition,[spl50_7])],[avatar_definition]) ).
tff(f2830,plain,
( 'member$'(sK41('c$'),'closed_segment$'('zero$','fun_app$'('of_nat$','n$')))
| ~ spl50_7 ),
inference(avatar_component_clause,[],[f2828]) ).
tff(f2831,plain,
( spl50_7
| spl50_1 ),
inference(avatar_split_clause,[],[f2799,f2766,f2828]) ).
tff(f3094,plain,
( ~ $less('c$','fun_app$i'('norm$','prod$'('uu$'(sK41('c$')),'atLeastAtMost$'('fun_app$p'('nat$',1),'n$'))))
| ~ spl50_7 ),
inference(unit_resulting_resolution,[],[f2171,f2830]) ).
tff(f3141,plain,
( $false
| ~ spl50_6
| ~ spl50_7 ),
inference(forward_subsumption_resolution,[],[f3094,f2825]) ).
tff(f3142,plain,
( ~ spl50_6
| ~ spl50_7 ),
inference(avatar_contradiction_clause,[],[f3141]) ).
tff(f3156,plain,
$false,
inference(avatar_smt_refutation,[],[f3142,f2831,f2826,f2769]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % 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 THM
% 0.09/0.38 % Computer : n002.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 12:56:36 UTC 2026
% 0.09/0.39 % CPUTime :
% 0.09/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.42 Running first-order theorem proving
% 0.15/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.47/1.20 % (3505205)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.47/1.20 % (3505232)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=68287148:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.47/1.20 % (3505234)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2630789421:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.47/1.20 % (3505237)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2439815425:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.47/1.20 % (3505236)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2055340600:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.47/1.20 % (3505229)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1270819735:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.47/1.20 % (3505230)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=303329235:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.47/1.20 % (3505233)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1214130041:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.47/1.20 % (3505234)Instruction limit reached!
% 3.47/1.20 % (3505234)------------------------------
% 3.47/1.20 % (3505234)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.20 % (3505234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.20 % (3505234)CaDiCaL version: 2.1.3
% 3.47/1.20 % (3505234)Termination reason: Instruction limit
% 3.47/1.20 % (3505234)Termination phase: Property scanning
% 3.47/1.20 % (3505234)Time elapsed: 0.003 s
% 3.47/1.20 % (3505234)Peak memory usage: 85 MB
% 3.47/1.20 % (3505234)Instructions burned: 4 (million)
% 3.47/1.20 % (3505229)Instruction limit reached!
% 3.47/1.20 % (3505229)------------------------------
% 3.47/1.20 % (3505229)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.20 % (3505229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.20 % (3505229)CaDiCaL version: 2.1.3
% 3.47/1.20 % (3505229)Termination reason: Instruction limit
% 3.47/1.20 % (3505229)Termination phase: shuffling
% 3.47/1.20 % (3505229)Time elapsed: 0.006 s
% 3.47/1.20 % (3505229)Peak memory usage: 85 MB
% 3.47/1.20 % (3505229)Instructions burned: 12 (million)
% 3.47/1.20 % (3505233)Instruction limit reached!
% 3.47/1.20 % (3505233)------------------------------
% 3.47/1.20 % (3505233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.20 % (3505233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.20 % (3505233)CaDiCaL version: 2.1.3
% 3.47/1.20 % (3505233)Termination reason: Instruction limit
% 3.47/1.20 % (3505233)Termination phase: Property scanning
% 3.47/1.20 % (3505233)Time elapsed: 0.007 s
% 3.47/1.20 % (3505233)Peak memory usage: 86 MB
% 3.47/1.20 % (3505233)Instructions burned: 7 (million)
% 3.47/1.20 % (3505237)Instruction limit reached!
% 3.47/1.20 % (3505237)------------------------------
% 3.47/1.20 % (3505237)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.20 % (3505237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.20 % (3505237)CaDiCaL version: 2.1.3
% 3.47/1.20 % (3505237)Termination reason: Instruction limit
% 3.47/1.20 % (3505237)Termination phase: Preprocessing 3
% 3.47/1.20 % (3505237)Time elapsed: 0.018 s
% 3.47/1.20 % (3505237)Peak memory usage: 87 MB
% 3.47/1.20 % (3505237)Instructions burned: 34 (million)
% 3.47/1.20 % (3505236)Instruction limit reached!
% 3.47/1.20 % (3505236)------------------------------
% 3.47/1.20 % (3505236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.20 % (3505236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.20 % (3505236)CaDiCaL version: 2.1.3
% 3.47/1.20 % (3505236)Termination reason: Instruction limit
% 3.47/1.20 % (3505236)Termination phase: Property scanning
% 3.47/1.20 % (3505236)Time elapsed: 0.026 s
% 3.47/1.20 % (3505236)Peak memory usage: 88 MB
% 3.47/1.20 % (3505236)Instructions burned: 47 (million)
% 3.47/1.20 % (3505298)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=2081167610:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 3.47/1.20 % (3505290)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3247514119:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 4.13/1.35 % (3505291)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=1207176423:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 4.13/1.35 % (3505298)Instruction limit reached!
% 4.13/1.35 % (3505298)------------------------------
% 4.13/1.35 % (3505298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.13/1.35 % (3505298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/1.35 % (3505298)CaDiCaL version: 2.1.3
% 4.13/1.35 % (3505298)Termination reason: Instruction limit
% 4.13/1.35 % (3505298)Termination phase: shuffling
% 4.13/1.35 % (3505298)Time elapsed: 0.007 s
% 4.13/1.35 % (3505298)Peak memory usage: 87 MB
% 4.13/1.35 % (3505298)Instructions burned: 27 (million)
% 4.13/1.35 % (3505290)Instruction limit reached!
% 4.13/1.35 % (3505290)------------------------------
% 4.13/1.35 % (3505290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.13/1.35 % (3505290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/1.35 % (3505290)CaDiCaL version: 2.1.3
% 4.13/1.35 % (3505290)Termination reason: Instruction limit
% 4.13/1.35 % (3505290)Termination phase: SInE selection
% 4.13/1.35 % (3505290)Time elapsed: 0.008 s
% 4.13/1.35 % (3505290)Peak memory usage: 86 MB
% 4.13/1.35 % (3505290)Instructions burned: 15 (million)
% 4.13/1.35 % (3505232)Instruction limit reached!
% 4.13/1.35 % (3505232)------------------------------
% 4.13/1.35 % (3505232)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.13/1.35 % (3505232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/1.35 % (3505232)CaDiCaL version: 2.1.3
% 4.13/1.35 % (3505232)Termination reason: Instruction limit
% 4.13/1.35 % (3505232)Termination phase: Saturation
% 4.13/1.35 % (3505232)Time elapsed: 0.143 s
% 4.13/1.35 % (3505232)Peak memory usage: 119 MB
% 4.13/1.35 % (3505232)Instructions burned: 201 (million)
% 4.13/1.35 % (3505291)Instruction limit reached!
% 4.13/1.35 % (3505291)------------------------------
% 4.13/1.35 % (3505291)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.13/1.35 % (3505291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/1.35 % (3505291)CaDiCaL version: 2.1.3
% 4.13/1.35 % (3505291)Termination reason: Instruction limit
% 4.13/1.35 % (3505291)Termination phase: Preprocessing 3
% 4.13/1.35 % (3505291)Time elapsed: 0.017 s
% 4.13/1.35 % (3505291)Peak memory usage: 87 MB
% 4.13/1.35 % (3505291)Instructions burned: 29 (million)
% 4.13/1.35 % (3505293)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3103950795:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 4.13/1.35 % (3505293)Instruction limit reached!
% 4.13/1.35 % (3505293)------------------------------
% 4.13/1.35 % (3505293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.13/1.35 % (3505293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/1.35 % (3505293)CaDiCaL version: 2.1.3
% 4.13/1.35 % (3505293)Termination reason: Instruction limit
% 4.13/1.35 % (3505293)Termination phase: Preprocessing 1
% 4.13/1.35 % (3505293)Time elapsed: 0.010 s
% 4.13/1.35 % (3505293)Peak memory usage: 86 MB
% 4.13/1.35 % (3505293)Instructions burned: 16 (million)
% 4.13/1.35 % (3505300)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=1730109672:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 4.13/1.35 % (3505300)Instruction limit reached!
% 4.13/1.35 % (3505300)------------------------------
% 4.13/1.35 % (3505300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.13/1.35 % (3505300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/1.35 % (3505300)CaDiCaL version: 2.1.3
% 4.13/1.35 % (3505300)Termination reason: Instruction limit
% 4.13/1.35 % (3505300)Termination phase: Preprocessing 2
% 4.13/1.35 % (3505300)Time elapsed: 0.015 s
% 4.13/1.35 % (3505300)Peak memory usage: 87 MB
% 4.13/1.35 % (3505300)Instructions burned: 27 (million)
% 4.13/1.35 % (3505330)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=660364097:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 4.13/1.35 % (3505330)Instruction limit reached!
% 5.59/1.63 % (3505330)------------------------------
% 5.59/1.63 % (3505330)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.59/1.63 % (3505330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.63 % (3505330)CaDiCaL version: 2.1.3
% 5.59/1.63 % (3505330)Termination reason: Instruction limit
% 5.59/1.63 % (3505330)Termination phase: Property scanning
% 5.59/1.63 % (3505330)Time elapsed: 0.002 s
% 5.59/1.63 % (3505330)Peak memory usage: 86 MB
% 5.59/1.63 % (3505330)Instructions burned: 4 (million)
% 5.59/1.63 % (3505230)Instruction limit reached!
% 5.59/1.63 % (3505230)------------------------------
% 5.59/1.63 % (3505230)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.59/1.63 % (3505230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.63 % (3505230)CaDiCaL version: 2.1.3
% 5.59/1.63 % (3505230)Termination reason: Instruction limit
% 5.59/1.63 % (3505230)Termination phase: Saturation
% 5.59/1.63 % (3505230)Time elapsed: 0.257 s
% 5.59/1.63 % (3505230)Peak memory usage: 119 MB
% 5.59/1.63 % (3505230)Instructions burned: 307 (million)
% 5.59/1.63 % (3505324)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=4268053821:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 5.59/1.63 % (3505329)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=3692138415:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 5.59/1.63 % (3505323)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=4222625704:i=85:gtgl=4:rtra=on:gtg=exists_sym_2996 on theBenchmark for (2996ds/85Mi)
% 5.59/1.63 % (3505324)Instruction limit reached!
% 5.59/1.63 % (3505324)------------------------------
% 5.59/1.63 % (3505324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.59/1.63 % (3505324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.63 % (3505324)CaDiCaL version: 2.1.3
% 5.59/1.63 % (3505324)Termination reason: Instruction limit
% 5.59/1.63 % (3505324)Termination phase: Property scanning
% 5.59/1.63 % (3505324)Time elapsed: 0.003 s
% 5.59/1.63 % (3505324)Peak memory usage: 85 MB
% 5.59/1.63 % (3505324)Instructions burned: 3 (million)
% 5.59/1.63 % (3505336)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=3765340700:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 5.59/1.63 % (3505323)Instruction limit reached!
% 5.59/1.63 % (3505323)------------------------------
% 5.59/1.63 % (3505323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.59/1.63 % (3505323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.63 % (3505323)CaDiCaL version: 2.1.3
% 5.59/1.63 % (3505323)Termination reason: Instruction limit
% 5.59/1.63 % (3505323)Termination phase: Property scanning
% 5.59/1.63 % (3505323)Time elapsed: 0.044 s
% 5.59/1.63 % (3505323)Peak memory usage: 89 MB
% 5.59/1.63 % (3505323)Instructions burned: 86 (million)
% 5.59/1.63 % (3505340)lrs+10_1_thi=all:si=on:fd=off:random_seed=3382637333:i=53:rtra=on:gtg=all_2996 on theBenchmark for (2996ds/53Mi)
% 5.59/1.63 % (3505336)Instruction limit reached!
% 5.59/1.63 % (3505336)------------------------------
% 5.59/1.63 % (3505336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.59/1.63 % (3505336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.64 % (3505336)CaDiCaL version: 2.1.3
% 5.59/1.64 % (3505336)Termination reason: Instruction limit
% 5.59/1.64 % (3505336)Termination phase: Property scanning
% 5.59/1.64 % (3505336)Time elapsed: 0.035 s
% 5.59/1.64 % (3505336)Peak memory usage: 88 MB
% 5.59/1.64 % (3505336)Instructions burned: 68 (million)
% 5.59/1.64 % (3505342)ott+1011_1_to=kbo:plsq=on:drc=off:si=on:plsqr=32,1:sp=const_frequency:sos=all:uwa=one_side_interpreted:sac=on:random_seed=1540421976:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2995 on theBenchmark for (2995ds/8Mi)
% 5.59/1.64 % (3505342)Instruction limit reached!
% 5.59/1.64 % (3505342)------------------------------
% 5.59/1.64 % (3505342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.59/1.64 % (3505342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.64 % (3505342)CaDiCaL version: 2.1.3
% 5.59/1.64 % (3505342)Termination reason: Instruction limit
% 5.59/1.64 % (3505342)Termination phase: shuffling
% 5.59/1.64 % (3505342)Time elapsed: 0.003 s
% 5.59/1.64 % (3505342)Peak memory usage: 86 MB
% 5.59/1.64 % (3505342)Instructions burned: 11 (million)
% 7.29/2.01 % (3505340)Instruction limit reached!
% 7.29/2.01 % (3505340)------------------------------
% 7.29/2.01 % (3505340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.29/2.01 % (3505340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/2.01 % (3505340)CaDiCaL version: 2.1.3
% 7.29/2.01 % (3505340)Termination reason: Instruction limit
% 7.29/2.01 % (3505340)Termination phase: Preprocessing 3
% 7.29/2.01 % (3505340)Time elapsed: 0.028 s
% 7.29/2.01 % (3505340)Peak memory usage: 88 MB
% 7.29/2.01 % (3505340)Instructions burned: 53 (million)
% 7.29/2.01 % (3505329)Instruction limit reached!
% 7.29/2.01 % (3505329)------------------------------
% 7.29/2.01 % (3505329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.29/2.01 % (3505329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/2.01 % (3505329)CaDiCaL version: 2.1.3
% 7.29/2.01 % (3505329)Termination reason: Instruction limit
% 7.29/2.01 % (3505329)Termination phase: Saturation
% 7.29/2.01 % (3505329)Time elapsed: 0.125 s
% 7.29/2.01 % (3505329)Peak memory usage: 91 MB
% 7.29/2.01 % (3505329)Instructions burned: 181 (million)
% 7.29/2.01 % (3505343)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=453182128:st=3:i=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/2Mi)
% 7.29/2.01 % (3505343)Instruction limit reached!
% 7.29/2.01 % (3505343)------------------------------
% 7.29/2.01 % (3505343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.29/2.01 % (3505343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/2.01 % (3505343)CaDiCaL version: 2.1.3
% 7.29/2.01 % (3505343)Termination reason: Instruction limit
% 7.29/2.01 % (3505343)Termination phase: Property scanning
% 7.29/2.01 % (3505343)Time elapsed: 0.004 s
% 7.29/2.01 % (3505343)Peak memory usage: 85 MB
% 7.29/2.01 % (3505343)Instructions burned: 3 (million)
% 7.29/2.01 % (3505347)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=2270740924:i=2:doe=on:canc=force:asg=cautious:rtra=on_2995 on theBenchmark for (2995ds/2Mi)
% 7.29/2.01 % (3505347)Instruction limit reached!
% 7.29/2.01 % (3505347)------------------------------
% 7.29/2.01 % (3505347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.29/2.01 % (3505347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/2.01 % (3505347)CaDiCaL version: 2.1.3
% 7.29/2.01 % (3505347)Termination reason: Instruction limit
% 7.29/2.01 % (3505347)Termination phase: shuffling
% 7.29/2.01 % (3505347)Time elapsed: 0.003 s
% 7.29/2.01 % (3505347)Peak memory usage: 85 MB
% 7.29/2.01 % (3505347)Instructions burned: 3 (million)
% 7.29/2.01 % (3505349)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=1205110703:i=127:doe=on:rtra=on_2994 on theBenchmark for (2994ds/127Mi)
% 7.29/2.01 % (3505353)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=2190282072:i=26:canc=cautious:av=off:rtra=on_2994 on theBenchmark for (2994ds/26Mi)
% 7.29/2.01 % (3505353)Instruction limit reached!
% 7.29/2.01 % (3505353)------------------------------
% 7.29/2.01 % (3505353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.29/2.01 % (3505353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/2.01 % (3505353)CaDiCaL version: 2.1.3
% 7.29/2.01 % (3505353)Termination reason: Instruction limit
% 7.29/2.01 % (3505353)Termination phase: shuffling
% 7.29/2.01 % (3505353)Time elapsed: 0.013 s
% 7.29/2.01 % (3505353)Peak memory usage: 86 MB
% 7.29/2.01 % (3505353)Instructions burned: 26 (million)
% 7.29/2.01 % (3505351)dis+10_1_si=on:random_seed=3262988733:i=10:ep=R:rtra=on_2994 on theBenchmark for (2994ds/10Mi)
% 7.29/2.01 % (3505351)Instruction limit reached!
% 7.29/2.01 % (3505351)------------------------------
% 7.29/2.01 % (3505351)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.29/2.01 % (3505351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/2.01 % (3505351)CaDiCaL version: 2.1.3
% 7.29/2.01 % (3505351)Termination reason: Instruction limit
% 7.29/2.01 % (3505351)Termination phase: Property scanning
% 7.29/2.01 % (3505351)Time elapsed: 0.011 s
% 7.29/2.01 % (3505351)Peak memory usage: 86 MB
% 7.29/2.01 % (3505351)Instructions burned: 11 (million)
% 7.29/2.01 % (3505354)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=1447116246:avsq=on:i=35:doe=on:thsqd=64:nm=64:fsr=off:thsqc=32:rtra=on:tac=light:ss=included:thsq=on:ev=off:sgt=32_2994 on theBenchmark for (2994ds/35Mi)
% 9.15/2.06 % (3505354)Instruction limit reached!
% 9.15/2.06 % (3505354)------------------------------
% 9.15/2.06 % (3505354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.15/2.06 % (3505354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.15/2.06 % (3505354)CaDiCaL version: 2.1.3
% 9.15/2.06 % (3505354)Termination reason: Instruction limit
% 9.15/2.06 % (3505354)Termination phase: Preprocessing 3
% 9.15/2.06 % (3505354)Time elapsed: 0.024 s
% 9.15/2.06 % (3505354)Peak memory usage: 88 MB
% 9.15/2.06 % (3505354)Instructions burned: 35 (million)
% 9.15/2.06 % (3505361)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=4176681656:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2994 on theBenchmark for (2994ds/8Mi)
% 9.15/2.06 % (3505349)Instruction limit reached!
% 9.15/2.06 % (3505349)------------------------------
% 9.15/2.06 % (3505349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.15/2.06 % (3505349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.15/2.06 % (3505349)CaDiCaL version: 2.1.3
% 9.15/2.06 % (3505349)Termination reason: Instruction limit
% 9.15/2.06 % (3505349)Termination phase: Saturation
% 9.15/2.06 % (3505349)Time elapsed: 0.147 s
% 9.15/2.06 % (3505349)Peak memory usage: 115 MB
% 9.15/2.06 % (3505349)Instructions burned: 127 (million)
% 9.15/2.06 % (3505361)Instruction limit reached!
% 9.15/2.06 % (3505361)------------------------------
% 9.15/2.06 % (3505361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.15/2.06 % (3505361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.15/2.06 % (3505361)CaDiCaL version: 2.1.3
% 9.15/2.06 % (3505361)Termination reason: Instruction limit
% 9.15/2.06 % (3505361)Termination phase: Property scanning
% 9.15/2.06 % (3505361)Time elapsed: 0.009 s
% 9.15/2.06 % (3505361)Peak memory usage: 86 MB
% 9.15/2.06 % (3505361)Instructions burned: 8 (million)
% 9.15/2.06 % (3505360)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=2561053877:i=2:fsr=off:rtra=on:inst=on_2994 on theBenchmark for (2994ds/2Mi)
% 9.15/2.06 % (3505360)Instruction limit reached!
% 9.15/2.06 % (3505360)------------------------------
% 9.15/2.06 % (3505360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.15/2.06 % (3505360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.15/2.06 % (3505360)CaDiCaL version: 2.1.3
% 9.15/2.06 % (3505360)Termination reason: Instruction limit
% 9.15/2.06 % (3505360)Termination phase: shuffling
% 9.15/2.06 % (3505360)Time elapsed: 0.004 s
% 9.15/2.06 % (3505360)Peak memory usage: 85 MB
% 9.15/2.06 % (3505360)Instructions burned: 3 (million)
% 9.15/2.06 % (3505366)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=1015100528:i=370:ep=RS:fsr=off:rtra=on_2993 on theBenchmark for (2993ds/370Mi)
% 9.15/2.06 % (3505383)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=44196940:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2993 on theBenchmark for (2993ds/13Mi)
% 9.15/2.06 % (3505383)Instruction limit reached!
% 9.15/2.06 % (3505383)------------------------------
% 9.15/2.06 % (3505383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.15/2.06 % (3505383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.15/2.06 % (3505383)CaDiCaL version: 2.1.3
% 9.15/2.06 % (3505383)Termination reason: Instruction limit
% 9.15/2.06 % (3505383)Termination phase: Property scanning
% 9.15/2.06 % (3505383)Time elapsed: 0.006 s
% 9.15/2.06 % (3505383)Peak memory usage: 85 MB
% 9.15/2.06 % (3505383)Instructions burned: 13 (million)
% 9.15/2.06 % (3505392)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=887177664:i=226:rtra=on:gtg=position:ss=axioms_2992 on theBenchmark for (2992ds/226Mi)
% 9.15/2.06 % (3505404)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=2633342782:i=71:rtra=on:gtg=exists_top_2991 on theBenchmark for (2991ds/71Mi)
% 9.15/2.06 % (3505394)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=599023850:i=10:rtra=on_2992 on theBenchmark for (2992ds/10Mi)
% 9.15/2.06 % (3505394)Instruction limit reached!
% 9.15/2.06 % (3505394)------------------------------
% 9.15/2.06 % (3505394)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.15/2.06 % (3505394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.15/2.06 % (3505394)CaDiCaL version: 2.1.3
% 9.15/2.06 % (3505394)Termination reason: Instruction limit
% 9.15/2.06 % (3505394)Termination phase: Property scanning
% 9.15/2.06 % (3505394)Time elapsed: 0.011 s
% 9.15/2.06 % (3505394)Peak memory usage: 86 MB
% 9.15/2.06 % (3505394)Instructions burned: 11 (million)
% 9.15/2.06 % (3505404)Instruction limit reached!
% 9.15/2.06 % (3505404)------------------------------
% 9.15/2.06 % (3505404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.15/2.06 % (3505404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.15/2.06 % (3505404)CaDiCaL version: 2.1.3
% 9.15/2.06 % (3505404)Termination reason: Instruction limit
% 9.15/2.06 % (3505404)Termination phase: Property scanning
% 9.15/2.06 % (3505404)Time elapsed: 0.063 s
% 9.15/2.06 % (3505404)Peak memory usage: 89 MB
% 9.15/2.06 % (3505404)Instructions burned: 72 (million)
% 9.15/2.06 % (3505392)First to succeed.
% 9.15/2.06 % (3505392)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3505205"
% 9.15/2.06 % (3505405)lrs+1010_1_to=lpo:prlc=on:sil=128000:prc=on:drc=off:si=on:sp=const_max:thsqr=8,1:tha=some:nwc=5:random_seed=1987539506:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_2991 on theBenchmark for (2991ds/75Mi)
% 9.15/2.06 % (3505414)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=1602342196:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_2991 on theBenchmark for (2991ds/130Mi)
% 9.15/2.06 % (3505410)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=263998787:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2991 on theBenchmark for (2991ds/294Mi)
% 9.15/2.06 % (3505405)Instruction limit reached!
% 9.15/2.06 % (3505405)------------------------------
% 9.15/2.06 % (3505405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.15/2.06 % (3505405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.15/2.06 % (3505405)CaDiCaL version: 2.1.3
% 9.15/2.06 % (3505405)Termination reason: Instruction limit
% 9.15/2.06 % (3505405)Termination phase: Property scanning
% 9.15/2.06 % (3505405)Time elapsed: 0.069 s
% 9.15/2.06 % (3505405)Peak memory usage: 89 MB
% 9.15/2.06 % (3505405)Instructions burned: 75 (million)
% 9.15/2.06 % (3505414)Instruction limit reached!
% 9.15/2.06 % (3505414)------------------------------
% 9.15/2.06 % (3505414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.15/2.06 % (3505414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.15/2.06 % (3505414)CaDiCaL version: 2.1.3
% 9.15/2.06 % (3505414)Termination reason: Instruction limit
% 9.15/2.06 % (3505414)Termination phase: Saturation
% 9.15/2.06 % (3505414)Time elapsed: 0.072 s
% 9.15/2.06 % (3505414)Peak memory usage: 113 MB
% 9.15/2.06 % (3505414)Instructions burned: 130 (million)
% 9.15/2.06 % (3505366)Instruction limit reached!
% 9.15/2.06 % (3505366)------------------------------
% 9.15/2.06 % (3505366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.15/2.06 % (3505366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.15/2.06 % (3505366)CaDiCaL version: 2.1.3
% 9.15/2.06 % (3505366)Termination reason: Instruction limit
% 9.15/2.06 % (3505366)Termination phase: Saturation
% 9.15/2.06 % (3505366)Time elapsed: 0.350 s
% 9.15/2.06 % (3505366)Peak memory usage: 95 MB
% 9.15/2.06 % (3505366)Instructions burned: 370 (million)
% 9.15/2.06 % (3505424)lrs+21_1_to=kbo:sil=64000:thi=all:sas=z3:si=on:spb=goal_then_units:tha=off:nwc=3:random_seed=287235641:i=131:rtra=on_2990 on theBenchmark for (2990ds/131Mi)
% 9.15/2.06 % (3505426)dis+1010_16_to=lpo:sil=64000:thi=strong:sas=z3:si=on:nwc=5:random_seed=1909800622:i=40:gtgl=2:rtra=on:gtg=exists_sym:ev=force_2989 on theBenchmark for (2989ds/40Mi)
% 9.15/2.06 % (3505426)Instruction limit reached!
% 9.15/2.06 % (3505426)------------------------------
% 9.15/2.06 % (3505426)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.15/2.06 % (3505426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.15/2.06 % (3505426)CaDiCaL version: 2.1.3
% 9.15/2.06 % (3505426)Termination reason: Instruction limit
% 9.15/2.06 % (3505426)Termination phase: Property scanning
% 9.15/2.06 % (3505426)Time elapsed: 0.035 s
% 9.15/2.06 % (3505426)Peak memory usage: 86 MB
% 9.15/2.06 % (3505426)Instructions burned: 40 (million)
% 9.15/2.06 % (3505434)ott+1010_3:1_to=kbo:sil=128000:thi=overlap:sas=z3:si=on:urr=on:tha=off:s2agt=32:random_seed=1624011914:s2a=on:i=598:doe=on:bs=on:canc=cautious:fsr=off:rtra=on_2988 on theBenchmark for (2988ds/598Mi)
% 9.15/2.06 % (3505392)Refutation found. Thanks to Tanya!
% 9.15/2.06 % SZS status Theorem for theBenchmark
% 9.15/2.06 % SZS output start Proof for theBenchmark
% See solution above
% 10.15/2.27 % (3505392)------------------------------
% 10.15/2.27 % (3505392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.15/2.27 % (3505392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.15/2.27 % (3505392)CaDiCaL version: 2.1.3
% 10.15/2.27 % (3505392)Termination reason: Refutation
% 10.15/2.27 % (3505392)Time elapsed: 0.113 s
% 10.15/2.27 % (3505392)Peak memory usage: 119 MB
% 10.15/2.27 % (3505392)Instructions burned: 121 (million)
% 10.15/2.27 % (3505392)------------------------------
% 10.15/2.27 % (3505392)------------------------------
% 10.15/2.27 % (3505205)Success in time 1.413 s
% 10.15/2.27 % Vampire exiting
%------------------------------------------------------------------------------