%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP366_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 : n026.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 11:33:42 AM UTC 2026
% Result : Theorem 5.50s 1.96s
% Output : Refutation 7.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 50 ( 45 unt; 0 typ; 8 def)
% Number of atoms : 57 ( 32 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 15 ( 8 ~; 4 |; 1 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number arithmetic : 17 ( 0 atm; 0 fun; 17 num; 0 var)
% Number of types : 27 ( 25 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 23 ( 21 usr; 1 prp; 0-3 aty)
% Number of functors : 100 ( 96 usr; 26 con; 0-3 aty)
% Number of variables : 29 ( 29 !; 0 ?; 29 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'Int_bool_fun$': $tType ).
tff(type_def_6,type,
'Nat_nat_bool_fun_fun$': $tType ).
tff(type_def_7,type,
'A_ltln_a_ltln_fun$': $tType ).
tff(type_def_8,type,
'Int_int_fun$': $tType ).
tff(type_def_9,type,
'Nat_a_set_fun_bool_fun$': $tType ).
tff(type_def_10,type,
'Num_bool_fun$': $tType ).
tff(type_def_11,type,
'Nat_nat_fun$': $tType ).
tff(type_def_12,type,
'Nat$': $tType ).
tff(type_def_13,type,
'Num$': $tType ).
tff(type_def_14,type,
'Bool_nat_fun$': $tType ).
tff(type_def_15,type,
tlbool: $tType ).
tff(type_def_16,type,
'Nat_num_fun$': $tType ).
tff(type_def_17,type,
'A_set_a_ltln_fun$': $tType ).
tff(type_def_18,type,
'A_ltln_bool_fun$': $tType ).
tff(type_def_19,type,
'A_set$': $tType ).
tff(type_def_20,type,
'A_ltln_set$': $tType ).
tff(type_def_21,type,
'A_set_list$': $tType ).
tff(type_def_22,type,
'A_ltln$': $tType ).
tff(type_def_23,type,
'Bool_bool_fun$': $tType ).
tff(type_def_24,type,
'Nat_a_set_fun$': $tType ).
tff(type_def_25,type,
'Nat_a_set_fun_set$': $tType ).
tff(type_def_26,type,
'Nat_bool_fun$': $tType ).
tff(type_def_27,type,
'A_ltln_a_set_a_ltln_fun_fun$': $tType ).
tff(type_def_28,type,
'Nat_int_fun$': $tType ).
tff(type_def_29,type,
'A_ltln_a_ltln_bool_fun_fun$': $tType ).
tff(func_def_0,type,
'w$': 'Nat_a_set_fun$' ).
tff(func_def_1,type,
'uud$': 'Nat_nat_fun$' ).
tff(func_def_2,type,
'case_nat$a': ( tlbool * 'Nat_bool_fun$' ) > 'Nat_bool_fun$' ).
tff(func_def_3,type,
'af_letter$': 'A_ltln_a_set_a_ltln_fun_fun$' ).
tff(func_def_4,type,
'plus$': ( 'Num$' * 'Num$' ) > 'Num$' ).
tff(func_def_5,type,
'f$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_set$' ).
tff(func_def_6,type,
'g_F$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_set$' ).
tff(func_def_7,type,
'mu_stable$': 'A_ltln$' > 'Nat_a_set_fun_bool_fun$' ).
tff(func_def_8,type,
'fun_app$h': ( 'A_ltln_a_set_a_ltln_fun_fun$' * 'A_ltln$' ) > 'A_set_a_ltln_fun$' ).
tff(func_def_9,type,
'sgn$': $int > $int ).
tff(func_def_10,type,
'id$': 'A_ltln_a_ltln_fun$' ).
tff(func_def_11,type,
'dbl_dec$': $int > $int ).
tff(func_def_12,type,
'bit0$': 'Num$' > 'Num$' ).
tff(func_def_13,type,
'x$': 'A_ltln_set$' ).
tff(func_def_14,type,
'uua$': 'Nat_a_set_fun_set$' > 'Nat_a_set_fun_bool_fun$' ).
tff(func_def_15,type,
'fun_app$a': ( 'Int_int_fun$' * $int ) > $int ).
tff(func_def_16,type,
'next_ltln$': 'A_ltln_a_ltln_fun$' ).
tff(func_def_17,type,
'unf$': 'A_ltln_a_ltln_fun$' ).
tff(func_def_18,type,
def_5: ( tlbool * 'Nat_bool_fun$' * 'Nat$' ) > tlbool ).
tff(func_def_19,type,
'pred$': 'Nat_nat_fun$' ).
tff(func_def_20,type,
'suffix$': ( 'Nat$' * 'Nat_a_set_fun$' ) > 'Nat_a_set_fun$' ).
tff(func_def_21,type,
'build$': ( 'A_set$' * 'Nat_a_set_fun$' ) > 'Nat_a_set_fun$' ).
tff(func_def_22,type,
'uug$': ( 'Bool_nat_fun$' * 'Nat_bool_fun$' ) > 'Nat_nat_fun$' ).
tff(func_def_23,type,
'num_of_nat$': 'Nat_num_fun$' ).
tff(func_def_24,type,
'collect$': 'Nat_a_set_fun_bool_fun$' > 'Nat_a_set_fun_set$' ).
tff(func_def_25,type,
'of_nat$': 'Nat_int_fun$' ).
tff(func_def_26,type,
'conc$': ( 'A_set_list$' * 'Nat_a_set_fun$' ) > 'Nat_a_set_fun$' ).
tff(func_def_27,type,
'fun_app$k': ( 'Nat_int_fun$' * 'Nat$' ) > $int ).
tff(func_def_28,type,
'g$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_set$' ).
tff(func_def_29,type,
def_10: ( 'Nat_bool_fun$' * 'Nat$' ) > tlbool ).
tff(func_def_30,type,
'gF_advice$': ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_31,type,
'foldl$': ( 'A_ltln_a_set_a_ltln_fun_fun$' * 'A_ltln$' * 'A_set_list$' ) > 'A_ltln$' ).
tff(func_def_32,type,
'dbl_inc$': $int > $int ).
tff(func_def_33,type,
def_1: ( 'Nat_bool_fun$' * 'Nat$' ) > tlbool ).
tff(func_def_34,type,
'subsequence$': ( 'Nat_a_set_fun$' * 'Nat$' * 'Nat$' ) > 'A_set_list$' ).
tff(func_def_35,type,
tltrue: tlbool ).
tff(func_def_36,type,
def_8: ( 'Nat_bool_fun$' * 'Nat$' ) > tlbool ).
tff(func_def_37,type,
'uui$': 'Nat_bool_fun$' ).
tff(func_def_38,type,
'uuf$': ( 'Nat_bool_fun$' * 'Nat_nat_fun$' ) > 'Nat_bool_fun$' ).
tff(func_def_39,type,
'fun_app$e': ( 'Nat_nat_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_40,type,
'inc$': 'Num$' > 'Num$' ).
tff(func_def_41,type,
'uub$': $int > 'Int_bool_fun$' ).
tff(func_def_42,type,
'numeral$': 'Num$' > $int ).
tff(func_def_43,type,
def_9: ( tlbool * 'Nat_bool_fun$' * 'Nat$' ) > tlbool ).
tff(func_def_44,type,
'fun_app$p': ( 'Nat_num_fun$' * 'Nat$' ) > 'Num$' ).
tff(func_def_45,type,
'sub$': ( 'Num$' * 'Num$' ) > $int ).
tff(func_def_46,type,
'bit1$': 'Num$' > 'Num$' ).
tff(func_def_47,type,
'nu_stable$': 'A_ltln$' > 'Nat_a_set_fun_bool_fun$' ).
tff(func_def_48,type,
'dbl$': $int > $int ).
tff(func_def_49,type,
'f_G$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_set$' ).
tff(func_def_50,type,
'one$': 'Num$' ).
tff(func_def_51,type,
'fun_app$f': ( 'Bool_nat_fun$' * tlbool ) > 'Nat$' ).
tff(func_def_52,type,
'case_nat$': ( 'Nat$' * 'Nat_nat_fun$' ) > 'Nat_nat_fun$' ).
tff(func_def_53,type,
'fun_app$i': ( 'A_ltln_a_ltln_fun$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_54,type,
'fun_app$n': ( 'Nat_nat_bool_fun_fun$' * 'Nat$' ) > 'Nat_bool_fun$' ).
tff(func_def_55,type,
'fG_advice$': ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_56,type,
def_4: ( tlbool * 'Nat_bool_fun$' * 'Nat$' ) > tlbool ).
tff(func_def_57,type,
'uu$': 'A_ltln$' > 'Nat_a_set_fun_bool_fun$' ).
tff(func_def_58,type,
'language_ltln$': 'A_ltln$' > 'Nat_a_set_fun_set$' ).
tff(func_def_59,type,
'fun_app$g': ( 'A_set_a_ltln_fun$' * 'A_set$' ) > 'A_ltln$' ).
tff(func_def_60,type,
tlfalse: tlbool ).
tff(func_def_61,type,
'fun_app$j': ( 'Nat_a_set_fun$' * 'Nat$' ) > 'A_set$' ).
tff(func_def_62,type,
'nat$': $int > 'Nat$' ).
tff(func_def_63,type,
'uuj$': 'Nat_bool_fun$' ).
tff(func_def_64,type,
'less$': 'Num$' > 'Num_bool_fun$' ).
tff(func_def_65,type,
def_2: ( 'Nat_bool_fun$' * 'Nat$' ) > tlbool ).
tff(func_def_66,type,
def_6: ( 'Bool_bool_fun$' * tlbool ) > tlbool ).
tff(func_def_67,type,
'uue$': ( 'Nat_nat_fun$' * 'Nat_nat_fun$' ) > 'Nat_nat_fun$' ).
tff(func_def_68,type,
'uuc$': $int > 'Int_int_fun$' ).
tff(func_def_69,type,
'fun_app$m': ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln$' ) > 'A_ltln_bool_fun$' ).
tff(func_def_70,type,
'uuh$': ( 'Bool_bool_fun$' * 'Nat_bool_fun$' ) > 'Nat_bool_fun$' ).
tff(func_def_71,type,
def_3: ( 'Nat_bool_fun$' * 'Nat$' ) > tlbool ).
tff(func_def_72,type,
def_7: ( tlbool * 'Nat_bool_fun$' * 'Nat$' ) > tlbool ).
tff(func_def_73,type,
'phi$': 'A_ltln$' ).
tff(func_def_81,type,
sK9: 'Nat$' > 'Nat$' ).
tff(func_def_82,type,
sK10: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_83,type,
sK11: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_84,type,
sK12: 'Nat$' > 'Nat$' ).
tff(func_def_85,type,
sK13: 'Nat$' > 'Nat$' ).
tff(func_def_86,type,
sK14: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_87,type,
sK15: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_88,type,
sK16: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_89,type,
sK17: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_90,type,
sK18: 'Nat$' > 'Nat$' ).
tff(func_def_91,type,
sK19: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_92,type,
sK20: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_93,type,
sK21: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_94,type,
sK22: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_95,type,
sF23: 'Nat$' ).
tff(func_def_96,type,
sF24: 'Nat_a_set_fun$' ).
tff(func_def_97,type,
sF25: 'A_ltln$' ).
tff(func_def_98,type,
sF26: 'A_set_a_ltln_fun$' ).
tff(func_def_99,type,
sF27: 'Nat$' ).
tff(func_def_100,type,
sF28: 'A_set$' ).
tff(func_def_101,type,
sF29: 'A_ltln$' ).
tff(func_def_102,type,
sF30: 'A_ltln$' ).
tff(func_def_104,type,
-1: $int > $int ).
tff(func_def_105,type,
2: $int > $int ).
tff(pred_def_1,type,
'fun_app$b': ( 'Nat_a_set_fun_bool_fun$' * 'Nat_a_set_fun$' ) > $o ).
tff(pred_def_2,type,
'idx_sequence$': 'Nat_nat_fun$' > $o ).
tff(pred_def_3,type,
'fun_app$l': ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > $o ).
tff(pred_def_4,type,
'fun_app$c': ( 'Nat_bool_fun$' * 'Nat$' ) > $o ).
tff(pred_def_5,type,
'member$': ( 'Nat_a_set_fun$' * 'Nat_a_set_fun_set$' ) > $o ).
tff(pred_def_6,type,
'fun_app$d': ( 'Bool_bool_fun$' * tlbool ) > $o ).
tff(pred_def_7,type,
'fun_app$': ( 'Int_bool_fun$' * $int ) > $o ).
tff(pred_def_8,type,
'gF_advice_congruent$': ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_fun$' ) > $o ).
tff(pred_def_9,type,
'fun_app$o': ( 'Num_bool_fun$' * 'Num$' ) > $o ).
tff(pred_def_10,type,
'gF_advice_congruent_axioms$': ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_fun$' ) > $o ).
tff(pred_def_11,type,
'semantics_ltln$': ( 'Nat_a_set_fun$' * 'A_ltln$' ) > $o ).
tff(pred_def_12,type,
'af_congruent_axioms$': 'A_ltln_a_ltln_bool_fun_fun$' > $o ).
tff(pred_def_15,type,
sP0: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_16,type,
sP1: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_17,type,
sP2: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_18,type,
sP3: ( 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_19,type,
sP4: ( 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_20,type,
sP5: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_21,type,
sP6: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_22,type,
sP7: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_23,type,
sP8: ( 'Nat$' * 'Nat$' ) > $o ).
tff(f12,conjecture,
'semantics_ltln$'('suffix$'('nat$'(1),'w$'),'gF_advice$'('fun_app$g'('fun_app$h'('af_letter$','fun_app$i'('next_ltln$','phi$')),'fun_app$j'('w$','nat$'(0))),'x$')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture11) ).
tff(f13,negated_conjecture,
~ 'semantics_ltln$'('suffix$'('nat$'(1),'w$'),'gF_advice$'('fun_app$g'('fun_app$h'('af_letter$','fun_app$i'('next_ltln$','phi$')),'fun_app$j'('w$','nat$'(0))),'x$')),
inference(negated_conjecture,[status(cth)],[f12]) ).
tff(f14,axiom,
'semantics_ltln$'('w$','gF_advice$'('fun_app$i'('unf$','fun_app$i'('next_ltln$','phi$')),'x$')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom12) ).
tff(f17,axiom,
! [X1: 'A_ltln$',X0: 'Nat_a_set_fun$'] :
( 'semantics_ltln$'(X0,'fun_app$i'('next_ltln$',X1))
<=> 'semantics_ltln$'('suffix$'('nat$'(1),X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom15) ).
tff(f20,axiom,
! [X1: 'A_ltln_set$',X0: 'A_ltln$'] : ( 'gF_advice$'('fun_app$i'('next_ltln$',X0),X1) = 'fun_app$i'('next_ltln$','gF_advice$'(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom18) ).
tff(f21,axiom,
! [X1: 'A_set$',X0: 'A_ltln$'] : ( 'fun_app$g'('fun_app$h'('af_letter$','fun_app$i'('next_ltln$',X0)),X1) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom19) ).
tff(f23,axiom,
! [X0: 'A_ltln$'] : ( 'fun_app$i'('unf$','fun_app$i'('next_ltln$',X0)) = 'fun_app$i'('next_ltln$',X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom21) ).
tff(f611,plain,
~ 'semantics_ltln$'('suffix$'('nat$'(1),'w$'),'gF_advice$'('fun_app$g'('fun_app$h'('af_letter$','fun_app$i'('next_ltln$','phi$')),'fun_app$j'('w$','nat$'(0))),'x$')),
inference(flattening,[],[f13]) ).
tff(f613,plain,
! [X0: 'A_set$',X1: 'A_ltln$'] : ( 'fun_app$g'('fun_app$h'('af_letter$','fun_app$i'('next_ltln$',X1)),X0) = X1 ),
inference(rectify,[],[f21]) ).
tff(f615,plain,
! [X0: 'A_ltln$',X1: 'Nat_a_set_fun$'] :
( 'semantics_ltln$'('suffix$'('nat$'(1),X1),X0)
<=> 'semantics_ltln$'(X1,'fun_app$i'('next_ltln$',X0)) ),
inference(rectify,[],[f17]) ).
tff(f616,plain,
! [X1: 'A_ltln$',X0: 'A_ltln_set$'] : ( 'gF_advice$'('fun_app$i'('next_ltln$',X1),X0) = 'fun_app$i'('next_ltln$','gF_advice$'(X1,X0)) ),
inference(rectify,[],[f20]) ).
tff(f980,plain,
! [X0: 'A_ltln$',X1: 'A_ltln_set$'] : ( 'gF_advice$'('fun_app$i'('next_ltln$',X0),X1) = 'fun_app$i'('next_ltln$','gF_advice$'(X0,X1)) ),
inference(rectify,[],[f616]) ).
tff(f1089,plain,
! [X0: 'A_ltln$',X1: 'Nat_a_set_fun$'] :
( ( 'semantics_ltln$'('suffix$'('nat$'(1),X1),X0)
| ~ 'semantics_ltln$'(X1,'fun_app$i'('next_ltln$',X0)) )
& ( 'semantics_ltln$'(X1,'fun_app$i'('next_ltln$',X0))
| ~ 'semantics_ltln$'('suffix$'('nat$'(1),X1),X0) ) ),
inference(nnf_transformation,[],[f615]) ).
tff(f1130,plain,
! [X0: 'A_set$',X1: 'A_ltln$'] : ( 'fun_app$g'('fun_app$h'('af_letter$','fun_app$i'('next_ltln$',X1)),X0) = X1 ),
inference(cnf_transformation,[],[f613]) ).
tff(f1275,plain,
'semantics_ltln$'('w$','gF_advice$'('fun_app$i'('unf$','fun_app$i'('next_ltln$','phi$')),'x$')),
inference(cnf_transformation,[],[f14]) ).
tff(f1277,plain,
~ 'semantics_ltln$'('suffix$'('nat$'(1),'w$'),'gF_advice$'('fun_app$g'('fun_app$h'('af_letter$','fun_app$i'('next_ltln$','phi$')),'fun_app$j'('w$','nat$'(0))),'x$')),
inference(cnf_transformation,[],[f611]) ).
tff(f1336,plain,
! [X0: 'A_ltln$',X1: 'A_ltln_set$'] : ( 'gF_advice$'('fun_app$i'('next_ltln$',X0),X1) = 'fun_app$i'('next_ltln$','gF_advice$'(X0,X1)) ),
inference(cnf_transformation,[],[f980]) ).
tff(f1589,plain,
! [X0: 'A_ltln$'] : ( 'fun_app$i'('next_ltln$',X0) = 'fun_app$i'('unf$','fun_app$i'('next_ltln$',X0)) ),
inference(cnf_transformation,[],[f23]) ).
tff(f1594,plain,
! [X0: 'A_ltln$',X1: 'Nat_a_set_fun$'] :
( 'semantics_ltln$'('suffix$'('nat$'(1),X1),X0)
| ~ 'semantics_ltln$'(X1,'fun_app$i'('next_ltln$',X0)) ),
inference(cnf_transformation,[],[f1089]) ).
tff(f1673,definition,
sF23 = 'nat$'(1),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
tff(f1674,plain,
'nat$'(1) = sF23,
inference(reorient_equations,[],[f1673]) ).
tff(f1675,definition,
sF24 = 'suffix$'(sF23,'w$'),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
tff(f1676,plain,
'suffix$'(sF23,'w$') = sF24,
inference(reorient_equations,[],[f1675]) ).
tff(f1677,definition,
sF25 = 'fun_app$i'('next_ltln$','phi$'),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
tff(f1678,plain,
'fun_app$i'('next_ltln$','phi$') = sF25,
inference(reorient_equations,[],[f1677]) ).
tff(f1679,definition,
sF26 = 'fun_app$h'('af_letter$',sF25),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
tff(f1680,plain,
'fun_app$h'('af_letter$',sF25) = sF26,
inference(reorient_equations,[],[f1679]) ).
tff(f1681,definition,
sF27 = 'nat$'(0),
introduced(definition,[new_symbols(definition,[sF27])],[function_definition]) ).
tff(f1682,plain,
'nat$'(0) = sF27,
inference(reorient_equations,[],[f1681]) ).
tff(f1683,definition,
sF28 = 'fun_app$j'('w$',sF27),
introduced(definition,[new_symbols(definition,[sF28])],[function_definition]) ).
tff(f1684,plain,
'fun_app$j'('w$',sF27) = sF28,
inference(reorient_equations,[],[f1683]) ).
tff(f1685,definition,
sF29 = 'fun_app$g'(sF26,sF28),
introduced(definition,[new_symbols(definition,[sF29])],[function_definition]) ).
tff(f1686,plain,
'fun_app$g'(sF26,sF28) = sF29,
inference(reorient_equations,[],[f1685]) ).
tff(f1687,definition,
sF30 = 'gF_advice$'(sF29,'x$'),
introduced(definition,[new_symbols(definition,[sF30])],[function_definition]) ).
tff(f1688,plain,
'gF_advice$'(sF29,'x$') = sF30,
inference(reorient_equations,[],[f1687]) ).
tff(f1689,plain,
~ 'semantics_ltln$'(sF24,sF30),
inference(definition_folding,[],[f1277,f1688,f1686,f1684,f1682,f1680,f1678,f1676,f1674]) ).
tff(f1818,plain,
! [X0: 'A_set$'] : ( 'phi$' = 'fun_app$g'('fun_app$h'('af_letter$',sF25),X0) ),
inference(superposition,[],[f1130,f1678]) ).
tff(f1819,plain,
! [X0: 'A_set$'] : ( 'phi$' = 'fun_app$g'(sF26,X0) ),
inference(forward_demodulation,[],[f1818,f1680]) ).
tff(f1823,plain,
'phi$' = sF29,
inference(superposition,[],[f1819,f1686]) ).
tff(f1825,plain,
sF30 = 'gF_advice$'('phi$','x$'),
inference(superposition,[],[f1688,f1823]) ).
tff(f1826,plain,
'semantics_ltln$'('w$','gF_advice$'('fun_app$i'('unf$',sF25),'x$')),
inference(forward_demodulation,[],[f1275,f1678]) ).
tff(f1964,plain,
'fun_app$i'('unf$',sF25) = sF25,
inference(superposition,[],[f1589,f1678]) ).
tff(f2037,plain,
'semantics_ltln$'('w$','gF_advice$'(sF25,'x$')),
inference(superposition,[],[f1826,f1964]) ).
tff(f2310,plain,
! [X0: 'A_ltln_set$'] : ( 'gF_advice$'(sF25,X0) = 'fun_app$i'('next_ltln$','gF_advice$'('phi$',X0)) ),
inference(superposition,[],[f1336,f1678]) ).
tff(f2445,plain,
! [X0: 'A_ltln$',X1: 'Nat_a_set_fun$'] :
( ~ 'semantics_ltln$'(X1,'fun_app$i'('next_ltln$',X0))
| 'semantics_ltln$'('suffix$'(sF23,X1),X0) ),
inference(forward_demodulation,[],[f1594,f1674]) ).
tff(f2575,plain,
'fun_app$i'('next_ltln$',sF30) = 'gF_advice$'(sF25,'x$'),
inference(superposition,[],[f2310,f1825]) ).
tff(f2600,plain,
'semantics_ltln$'('w$','fun_app$i'('next_ltln$',sF30)),
inference(superposition,[],[f2037,f2575]) ).
tff(f2601,plain,
'semantics_ltln$'('suffix$'(sF23,'w$'),sF30),
inference(resolution,[],[f2600,f2445]) ).
tff(f2602,plain,
'semantics_ltln$'(sF24,sF30),
inference(forward_demodulation,[],[f2601,f1676]) ).
tff(f2603,plain,
$false,
inference(forward_subsumption_resolution,[],[f2602,f1689]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ITP366_1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.43 % Computer : n026.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sun Sep 27 12:58:41 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.48 Running first-order theorem proving
% 0.22/0.48 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
% 4.18/1.78 % (2821025)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 4.18/1.78 % (2821036)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3507551398:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 4.18/1.78 % (2821035)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3902683173:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 4.18/1.78 % (2821035)Instruction limit reached!
% 4.18/1.78 % (2821035)------------------------------
% 4.18/1.78 % (2821035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.18/1.78 % (2821035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/1.78 % (2821035)CaDiCaL version: 2.1.3
% 4.18/1.78 % (2821035)Termination reason: Instruction limit
% 4.18/1.78 % (2821035)Termination phase: Property scanning
% 4.18/1.78 % (2821035)Time elapsed: 0.019 s
% 4.18/1.78 % (2821035)Peak memory usage: 88 MB
% 4.18/1.78 % (2821035)Instructions burned: 47 (million)
% 4.18/1.78 % (2821036)Instruction limit reached!
% 4.18/1.78 % (2821036)------------------------------
% 4.18/1.78 % (2821036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.18/1.78 % (2821036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/1.78 % (2821036)CaDiCaL version: 2.1.3
% 4.18/1.78 % (2821036)Termination reason: Instruction limit
% 4.18/1.78 % (2821036)Termination phase: Clausification
% 4.18/1.78 % (2821036)Time elapsed: 0.021 s
% 4.18/1.78 % (2821036)Peak memory usage: 87 MB
% 4.18/1.78 % (2821036)Instructions burned: 34 (million)
% 4.18/1.78 % (2821033)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=4007833429:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 4.18/1.78 % (2821034)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=543649749:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 4.18/1.78 % (2821031)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1292316991:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 4.18/1.78 % (2821032)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2017042844:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 4.18/1.78 % (2821030)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=21312225:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 4.18/1.78 % (2821034)Instruction limit reached!
% 4.18/1.78 % (2821034)------------------------------
% 4.18/1.78 % (2821034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.18/1.78 % (2821034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/1.78 % (2821034)CaDiCaL version: 2.1.3
% 4.18/1.78 % (2821034)Termination reason: Instruction limit
% 4.18/1.78 % (2821034)Termination phase: Property scanning
% 4.18/1.78 % (2821034)Time elapsed: 0.004 s
% 4.18/1.78 % (2821034)Peak memory usage: 85 MB
% 4.18/1.78 % (2821034)Instructions burned: 4 (million)
% 4.18/1.78 % (2821033)Instruction limit reached!
% 4.18/1.78 % (2821033)------------------------------
% 4.18/1.78 % (2821033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.18/1.78 % (2821033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/1.78 % (2821033)CaDiCaL version: 2.1.3
% 4.18/1.78 % (2821033)Termination reason: Instruction limit
% 4.18/1.78 % (2821033)Termination phase: Property scanning
% 4.18/1.78 % (2821033)Time elapsed: 0.008 s
% 4.18/1.78 % (2821033)Peak memory usage: 86 MB
% 4.18/1.78 % (2821033)Instructions burned: 8 (million)
% 4.18/1.78 % (2821030)Instruction limit reached!
% 4.18/1.78 % (2821030)------------------------------
% 4.18/1.78 % (2821030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.18/1.78 % (2821030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/1.78 % (2821030)CaDiCaL version: 2.1.3
% 4.18/1.78 % (2821030)Termination reason: Instruction limit
% 4.18/1.78 % (2821030)Termination phase: Property scanning
% 4.18/1.78 % (2821030)Time elapsed: 0.011 s
% 4.18/1.78 % (2821030)Peak memory usage: 86 MB
% 4.18/1.78 % (2821030)Instructions burned: 12 (million)
% 4.18/1.78 % (2821041)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=843338041:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 4.18/1.78 % (2821040)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1916278081:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 5.50/1.96 % (2821040)Instruction limit reached!
% 5.50/1.96 % (2821040)------------------------------
% 5.50/1.96 % (2821040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.96 % (2821040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.96 % (2821040)CaDiCaL version: 2.1.3
% 5.50/1.96 % (2821040)Termination reason: Instruction limit
% 5.50/1.96 % (2821040)Termination phase: Preprocessing 1
% 5.50/1.96 % (2821040)Time elapsed: 0.008 s
% 5.50/1.96 % (2821040)Peak memory usage: 86 MB
% 5.50/1.96 % (2821040)Instructions burned: 15 (million)
% 5.50/1.96 % (2821041)Instruction limit reached!
% 5.50/1.96 % (2821041)------------------------------
% 5.50/1.96 % (2821041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.96 % (2821041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.96 % (2821041)CaDiCaL version: 2.1.3
% 5.50/1.96 % (2821041)Termination reason: Instruction limit
% 5.50/1.96 % (2821041)Termination phase: Preprocessing 3
% 5.50/1.96 % (2821041)Time elapsed: 0.012 s
% 5.50/1.96 % (2821041)Peak memory usage: 87 MB
% 5.50/1.96 % (2821041)Instructions burned: 30 (million)
% 5.50/1.96 % (2821048)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=3292269416:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 5.50/1.96 % (2821047)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=1900362468:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 5.50/1.96 % (2821032)Instruction limit reached!
% 5.50/1.96 % (2821032)------------------------------
% 5.50/1.96 % (2821032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.96 % (2821032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.96 % (2821032)CaDiCaL version: 2.1.3
% 5.50/1.96 % (2821032)Termination reason: Instruction limit
% 5.50/1.96 % (2821032)Termination phase: Saturation
% 5.50/1.96 % (2821032)Time elapsed: 0.227 s
% 5.50/1.96 % (2821032)Peak memory usage: 118 MB
% 5.50/1.96 % (2821032)Instructions burned: 201 (million)
% 5.50/1.96 % (2821049)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=3068930874:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 5.50/1.96 % (2821047)Instruction limit reached!
% 5.50/1.96 % (2821047)------------------------------
% 5.50/1.96 % (2821047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.96 % (2821047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.96 % (2821047)CaDiCaL version: 2.1.3
% 5.50/1.96 % (2821047)Termination reason: Instruction limit
% 5.50/1.96 % (2821047)Termination phase: Naming
% 5.50/1.96 % (2821047)Time elapsed: 0.016 s
% 5.50/1.96 % (2821047)Peak memory usage: 86 MB
% 5.50/1.96 % (2821047)Instructions burned: 16 (million)
% 5.50/1.96 % (2821053)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=1979319755:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 5.50/1.96 % (2821053)Instruction limit reached!
% 5.50/1.96 % (2821053)------------------------------
% 5.50/1.96 % (2821053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.96 % (2821053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.96 % (2821053)CaDiCaL version: 2.1.3
% 5.50/1.96 % (2821053)Termination reason: Instruction limit
% 5.50/1.96 % (2821053)Termination phase: Property scanning
% 5.50/1.96 % (2821053)Time elapsed: 0.002 s
% 5.50/1.96 % (2821053)Peak memory usage: 86 MB
% 5.50/1.96 % (2821053)Instructions burned: 4 (million)
% 5.50/1.96 % (2821048)Instruction limit reached!
% 5.50/1.96 % (2821048)------------------------------
% 5.50/1.96 % (2821048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.96 % (2821048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.96 % (2821048)CaDiCaL version: 2.1.3
% 5.50/1.96 % (2821048)Termination reason: Instruction limit
% 5.50/1.96 % (2821048)Termination phase: Preprocessing 3
% 5.50/1.96 % (2821048)Time elapsed: 0.023 s
% 5.50/1.96 % (2821048)Peak memory usage: 87 MB
% 5.50/1.96 % (2821048)Instructions burned: 26 (million)
% 5.50/1.96 % (2821052)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=1164357241:i=85:gtgl=4:rtra=on:gtg=exists_sym_2996 on theBenchmark for (2996ds/85Mi)
% 5.50/1.96 % (2821049)Instruction limit reached!
% 5.50/1.96 % (2821049)------------------------------
% 5.50/1.96 % (2821049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.96 % (2821049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.96 % (2821049)CaDiCaL version: 2.1.3
% 5.50/1.96 % (2821049)Termination reason: Instruction limit
% 5.50/1.96 % (2821049)Termination phase: Preprocessing 3
% 5.50/1.96 % (2821049)Time elapsed: 0.025 s
% 5.50/1.96 % (2821049)Peak memory usage: 87 MB
% 5.50/1.96 % (2821049)Instructions burned: 28 (million)
% 5.50/1.96 % (2821052)Instruction limit reached!
% 5.50/1.96 % (2821052)------------------------------
% 5.50/1.96 % (2821052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.96 % (2821052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.96 % (2821052)CaDiCaL version: 2.1.3
% 5.50/1.96 % (2821052)Termination reason: Instruction limit
% 5.50/1.96 % (2821052)Termination phase: Saturation
% 5.50/1.96 % (2821052)Time elapsed: 0.074 s
% 5.50/1.96 % (2821052)Peak memory usage: 89 MB
% 5.50/1.96 % (2821052)Instructions burned: 85 (million)
% 5.50/1.96 % (2821031)Instruction limit reached!
% 5.50/1.96 % (2821031)------------------------------
% 5.50/1.96 % (2821031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.96 % (2821031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.96 % (2821031)CaDiCaL version: 2.1.3
% 5.50/1.96 % (2821031)Termination reason: Instruction limit
% 5.50/1.96 % (2821031)Termination phase: Saturation
% 5.50/1.96 % (2821031)Time elapsed: 0.347 s
% 5.50/1.96 % (2821031)Peak memory usage: 119 MB
% 5.50/1.96 % (2821031)Instructions burned: 308 (million)
% 5.50/1.96 % (2821058)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=2657837527:i=181:rtra=on:ss=axioms:ev=cautious_2994 on theBenchmark for (2994ds/181Mi)
% 5.50/1.96 % (2821064)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=522130874:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2994 on theBenchmark for (2994ds/8Mi)
% 5.50/1.96 % (2821064)Instruction limit reached!
% 5.50/1.96 % (2821064)------------------------------
% 5.50/1.96 % (2821064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.96 % (2821064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.96 % (2821064)CaDiCaL version: 2.1.3
% 5.50/1.96 % (2821064)Termination reason: Instruction limit
% 5.50/1.96 % (2821064)Termination phase: shuffling
% 5.50/1.96 % (2821064)Time elapsed: 0.004 s
% 5.50/1.96 % (2821064)Peak memory usage: 85 MB
% 5.50/1.96 % (2821064)Instructions burned: 8 (million)
% 5.50/1.96 % (2821058)First to succeed.
% 5.50/1.96 % (2821058)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2821025"
% 5.50/1.96 % (2821061)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=1013757826:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2994 on theBenchmark for (2994ds/66Mi)
% 5.50/1.96 % (2821060)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=2218230828:i=4:ep=RST:ins=2:rtra=on_2994 on theBenchmark for (2994ds/4Mi)
% 5.50/1.96 % (2821062)lrs+10_1_thi=all:si=on:fd=off:random_seed=2853843530:i=53:rtra=on:gtg=all_2994 on theBenchmark for (2994ds/53Mi)
% 5.50/1.96 % (2821060)Instruction limit reached!
% 5.50/1.96 % (2821060)------------------------------
% 5.50/1.96 % (2821060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.96 % (2821060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.96 % (2821060)CaDiCaL version: 2.1.3
% 5.50/1.96 % (2821060)Termination reason: Instruction limit
% 5.50/1.96 % (2821060)Termination phase: Property scanning
% 5.50/1.96 % (2821060)Time elapsed: 0.005 s
% 5.50/1.96 % (2821060)Peak memory usage: 85 MB
% 5.50/1.96 % (2821060)Instructions burned: 5 (million)
% 5.50/1.96 % (2821062)Instruction limit reached!
% 5.50/1.96 % (2821062)------------------------------
% 5.50/1.96 % (2821062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.96 % (2821062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.96 % (2821062)CaDiCaL version: 2.1.3
% 5.50/1.96 % (2821062)Termination reason: Instruction limit
% 5.50/1.96 % (2821062)Termination phase: Property scanning
% 5.50/1.96 % (2821062)Time elapsed: 0.047 s
% 5.50/1.96 % (2821062)Peak memory usage: 87 MB
% 5.50/1.96 % (2821062)Instructions burned: 53 (million)
% 5.50/1.96 % (2821061)Instruction limit reached!
% 5.50/1.96 % (2821061)------------------------------
% 5.50/1.96 % (2821061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.96 % (2821061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.96 % (2821061)CaDiCaL version: 2.1.3
% 5.50/1.96 % (2821061)Termination reason: Instruction limit
% 5.50/1.96 % (2821061)Termination phase: Saturation
% 5.50/1.96 % (2821061)Time elapsed: 0.059 s
% 5.50/1.96 % (2821061)Peak memory usage: 91 MB
% 5.50/1.96 % (2821061)Instructions burned: 66 (million)
% 5.50/1.96 % (2821065)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=4054153822:st=3:i=2:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/2Mi)
% 5.50/1.96 % (2821065)Instruction limit reached!
% 5.50/1.96 % (2821065)------------------------------
% 5.50/1.96 % (2821065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.96 % (2821065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.96 % (2821065)CaDiCaL version: 2.1.3
% 5.50/1.96 % (2821065)Termination reason: Instruction limit
% 5.50/1.96 % (2821065)Termination phase: Property scanning
% 5.50/1.96 % (2821065)Time elapsed: 0.004 s
% 5.50/1.96 % (2821065)Peak memory usage: 85 MB
% 5.50/1.96 % (2821065)Instructions burned: 3 (million)
% 5.50/1.96 % (2821066)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=53996728:i=2:doe=on:canc=force:asg=cautious:rtra=on_2993 on theBenchmark for (2993ds/2Mi)
% 5.50/1.96 % (2821066)Instruction limit reached!
% 5.50/1.96 % (2821066)------------------------------
% 5.50/1.96 % (2821066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.96 % (2821066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.96 % (2821066)CaDiCaL version: 2.1.3
% 5.50/1.96 % (2821066)Termination reason: Instruction limit
% 5.50/1.96 % (2821066)Termination phase: shuffling
% 5.50/1.96 % (2821066)Time elapsed: 0.003 s
% 5.50/1.96 % (2821066)Peak memory usage: 85 MB
% 5.50/1.96 % (2821066)Instructions burned: 2 (million)
% 5.50/1.96 % (2821069)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=3159154232:i=127:doe=on:rtra=on_2993 on theBenchmark for (2993ds/127Mi)
% 5.50/1.96 % (2821058)Refutation found. Thanks to Tanya!
% 5.50/1.96 % SZS status Theorem for theBenchmark
% 5.50/1.96 % SZS output start Proof for theBenchmark
% See solution above
% 7.12/2.30 % (2821058)------------------------------
% 7.12/2.30 % (2821058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.12/2.30 % (2821058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/2.30 % (2821058)CaDiCaL version: 2.1.3
% 7.12/2.30 % (2821058)Termination reason: Refutation
% 7.12/2.30 % (2821058)Time elapsed: 0.058 s
% 7.12/2.30 % (2821058)Peak memory usage: 91 MB
% 7.12/2.30 % (2821058)Instructions burned: 84 (million)
% 7.12/2.30 % (2821058)------------------------------
% 7.12/2.30 % (2821058)------------------------------
% 7.12/2.30 % (2821025)Success in time 0.94 s
% 7.12/2.30 % Vampire exiting
%------------------------------------------------------------------------------