TSTP Solution File: ITP357_1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP001_1 : TPTP v8.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 22:41:34 EDT 2024
% Result : Theorem 1.15s 1.06s
% Output : Refutation 1.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 165
% Syntax : Number of formulae : 182 ( 13 unt; 159 typ; 0 def)
% Number of atoms : 37 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 19 ~; 11 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 38 ( 36 usr; 1 ari)
% Number of type conns : 173 ( 98 >; 75 *; 0 +; 0 <<)
% Number of predicates : 24 ( 22 usr; 1 prp; 0-2 aty)
% Number of functors : 101 ( 101 usr; 25 con; 0-4 aty)
% Number of variables : 30 ( 30 !; 0 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'Int_bool_fun$': $tType ).
tff(type_def_6,type,
'A_ltln_ltln_a_ltln_ltln_bool_fun_fun$': $tType ).
tff(type_def_7,type,
'A_ltln_bool_fun_a_set_fun$': $tType ).
tff(type_def_8,type,
'A_set_a_ltln_bool_fun_fun$': $tType ).
tff(type_def_9,type,
'A_ltln_nat_a_set_fun_prod$': $tType ).
tff(type_def_10,type,
'A_ltln_a_ltln_a_ltln_option_fun_prod$': $tType ).
tff(type_def_11,type,
'Int_a_a_bool_fun_fun_fun$': $tType ).
tff(type_def_12,type,
'A_a_bool_fun_fun_int_fun$': $tType ).
tff(type_def_13,type,
'A_ltln_a_ltln_option_fun$': $tType ).
tff(type_def_14,type,
'Int_int_fun$': $tType ).
tff(type_def_15,type,
'A_set_a_set_list_fun$': $tType ).
tff(type_def_16,type,
'A_ltln_set_a_ltln_prod$': $tType ).
tff(type_def_17,type,
'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$': $tType ).
tff(type_def_18,type,
'A_ltln_ltln$': $tType ).
tff(type_def_19,type,
'Nat$': $tType ).
tff(type_def_20,type,
'A_ltln_ltln_bool_fun$': $tType ).
tff(type_def_21,type,
tlbool: $tType ).
tff(type_def_22,type,
'A_a_bool_fun_fun$': $tType ).
tff(type_def_23,type,
'A_ltln_set_a_ltln_prod_a_ltln_set_a_ltln_prod_bool_fun_fun$': $tType ).
tff(type_def_24,type,
'A_set_a_ltln_fun$': $tType ).
tff(type_def_25,type,
'A_ltln_bool_fun$': $tType ).
tff(type_def_26,type,
'A_bool_fun$': $tType ).
tff(type_def_27,type,
'A_set$': $tType ).
tff(type_def_28,type,
'A_ltln_set$': $tType ).
tff(type_def_29,type,
'A_set_list$': $tType ).
tff(type_def_30,type,
'A_set_int_fun$': $tType ).
tff(type_def_31,type,
'A_ltln$': $tType ).
tff(type_def_32,type,
'Int_a_set_fun$': $tType ).
tff(type_def_33,type,
'A$': $tType ).
tff(type_def_34,type,
'A_ltln_bool_fun_int_fun$': $tType ).
tff(type_def_35,type,
'Nat_a_set_fun$': $tType ).
tff(type_def_36,type,
'Int_int_bool_fun_fun$': $tType ).
tff(type_def_37,type,
'A_set_a_set_fun$': $tType ).
tff(type_def_38,type,
'Int_a_ltln_bool_fun_fun$': $tType ).
tff(type_def_39,type,
'A_ltln_a_set_a_ltln_fun_fun$': $tType ).
tff(type_def_40,type,
'A_ltln_a_ltln_bool_fun_fun$': $tType ).
tff(func_def_0,type,
'uu$': 'A_set$' > 'A_bool_fun$' ).
tff(func_def_1,type,
'strongRelease_ltln$a': ( 'A_ltln_ltln$' * 'A_ltln_ltln$' ) > 'A_ltln_ltln$' ).
tff(func_def_2,type,
'af_letter$': 'A_ltln_a_set_a_ltln_fun_fun$' ).
tff(func_def_3,type,
'fun_app$u': ( 'A_set_a_set_list_fun$' * 'A_set$' ) > 'A_set_list$' ).
tff(func_def_4,type,
def_6: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).
tff(func_def_5,type,
'next_ltln$a': 'A_ltln_ltln$' > 'A_ltln_ltln$' ).
tff(func_def_6,type,
'and_ltln$a': ( 'A_ltln_ltln$' * 'A_ltln_ltln$' ) > 'A_ltln_ltln$' ).
tff(func_def_7,type,
'prop_ltln$a': 'A_ltln$' > 'A_ltln_ltln$' ).
tff(func_def_8,type,
'rel_ltln$a': 'A_a_bool_fun_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_9,type,
'fun_app$g': ( 'A_ltln_a_set_a_ltln_fun_fun$' * 'A_ltln$' ) > 'A_set_a_ltln_fun$' ).
tff(func_def_10,type,
'fun_app$f': ( 'A_set_a_ltln_fun$' * 'A_set$' ) > 'A_ltln$' ).
tff(func_def_11,type,
'or_ltln$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_12,type,
'and_ltln$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_13,type,
'not_n_rel$': 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_14,type,
'release_ltln$a': ( 'A_ltln_ltln$' * 'A_ltln_ltln$' ) > 'A_ltln_ltln$' ).
tff(func_def_15,type,
'false_ltln$': 'A_ltln$' ).
tff(func_def_16,type,
'uub$': 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_17,type,
'fun_app$m': ( 'Int_a_set_fun$' * $int ) > 'A_set$' ).
tff(func_def_18,type,
'fun_app$p': ( 'A_ltln_bool_fun_int_fun$' * 'A_ltln_bool_fun$' ) > $int ).
tff(func_def_19,type,
'fun_app$q': ( 'A_set_a_ltln_bool_fun_fun$' * 'A_set$' ) > 'A_ltln_bool_fun$' ).
tff(func_def_20,type,
'pair$': ( 'A_ltln_set$' * 'A_ltln$' ) > 'A_ltln_set_a_ltln_prod$' ).
tff(func_def_21,type,
def_8: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).
tff(func_def_22,type,
def_7: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).
tff(func_def_23,type,
'fun_app$d': ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln$' ) > 'A_ltln_bool_fun$' ).
tff(func_def_24,type,
'suffix$': ( 'Nat$' * 'Nat_a_set_fun$' ) > 'Nat_a_set_fun$' ).
tff(func_def_25,type,
'bind$': ( 'A_set_list$' * 'A_set_a_set_list_fun$' ) > 'A_set_list$' ).
tff(func_def_26,type,
'fun_app$t': ( 'A_ltln_bool_fun_a_set_fun$' * 'A_ltln_bool_fun$' ) > 'A_set$' ).
tff(func_def_27,type,
'build$': ( 'A_set$' * 'Nat_a_set_fun$' ) > 'Nat_a_set_fun$' ).
tff(func_def_28,type,
'fun_app$j': ( 'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$' * 'A_ltln_a_ltln_bool_fun_fun$' ) > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_29,type,
'of_nat$': 'Nat$' > $int ).
tff(func_def_30,type,
'cons$': ( 'A_set$' * 'A_set_list$' ) > 'A_set_list$' ).
tff(func_def_31,type,
'is_mu_LTL$': 'A_ltln_bool_fun$' ).
tff(func_def_32,type,
'ltl_const_equiv$a': 'A_ltln_ltln_a_ltln_ltln_bool_fun_fun$' ).
tff(func_def_33,type,
'until_ltln$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_34,type,
'is_nu_LTL$': 'A_ltln_bool_fun$' ).
tff(func_def_35,type,
'collect$': 'A_bool_fun$' > 'A_set$' ).
tff(func_def_36,type,
'ltl_prop_entailment_rel$': 'A_ltln_set_a_ltln_prod_a_ltln_set_a_ltln_prod_bool_fun_fun$' ).
tff(func_def_37,type,
def_2: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).
tff(func_def_38,type,
'conc$': ( 'A_set_list$' * 'Nat_a_set_fun$' ) > 'Nat_a_set_fun$' ).
tff(func_def_39,type,
'fun_app$k': ( 'Int_int_fun$' * $int ) > $int ).
tff(func_def_40,type,
'foldl$': ( 'A_ltln_a_set_a_ltln_fun_fun$' * 'A_ltln$' * 'A_set_list$' ) > 'A_ltln$' ).
tff(func_def_41,type,
'subsequence$': ( 'Nat_a_set_fun$' * 'Nat$' * 'Nat$' ) > 'A_set_list$' ).
tff(func_def_42,type,
'pair$a': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_nat_a_set_fun_prod$' ).
tff(func_def_43,type,
'prop_ltln$': 'A$' > 'A_ltln$' ).
tff(func_def_44,type,
'fun_app$o': ( 'Int_a_ltln_bool_fun_fun$' * $int ) > 'A_ltln_bool_fun$' ).
tff(func_def_45,type,
'until_ltln$a': ( 'A_ltln_ltln$' * 'A_ltln_ltln$' ) > 'A_ltln_ltln$' ).
tff(func_def_46,type,
tltrue: tlbool ).
tff(func_def_47,type,
'fun_app$i': ( 'Int_int_bool_fun_fun$' * $int ) > 'Int_bool_fun$' ).
tff(func_def_48,type,
'fun_app$c': ( 'A_ltln_ltln_a_ltln_ltln_bool_fun_fun$' * 'A_ltln_ltln$' ) > 'A_ltln_ltln_bool_fun$' ).
tff(func_def_49,type,
'accp$': 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_50,type,
'ltl_const_equiv$': 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_51,type,
'fun_app$l': ( 'A_set_int_fun$' * 'A_set$' ) > $int ).
tff(func_def_52,type,
'weakUntil_ltln$a': ( 'A_ltln_ltln$' * 'A_ltln_ltln$' ) > 'A_ltln_ltln$' ).
tff(func_def_53,type,
'fun_app$s': ( 'Int_a_a_bool_fun_fun_fun$' * $int ) > 'A_a_bool_fun_fun$' ).
tff(func_def_54,type,
'collect$a': 'A_ltln_bool_fun$' > 'A_ltln_set$' ).
tff(func_def_55,type,
'atoms_ltln$': 'A_ltln$' > 'A_set$' ).
tff(func_def_56,type,
'eq$': 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_57,type,
'fun_app$n': ( 'A_set_a_set_fun$' * 'A_set$' ) > 'A_set$' ).
tff(func_def_58,type,
'ltl_prop_entailment$': 'A_ltln_set$' > 'A_ltln_bool_fun$' ).
tff(func_def_59,type,
'release_ltln$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_60,type,
'nprop_ltln$': 'A$' > 'A_ltln$' ).
tff(func_def_61,type,
def_1: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).
tff(func_def_62,type,
'ltl_lang_equiv$': 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_63,type,
def_4: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).
tff(func_def_64,type,
'not_n$': 'A_ltln$' > 'A_ltln$' ).
tff(func_def_65,type,
'true_ltln$': 'A_ltln$' ).
tff(func_def_66,type,
'false_ltln$a': 'A_ltln_ltln$' ).
tff(func_def_67,type,
'rel_ltln$': 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln_ltln_a_ltln_ltln_bool_fun_fun$' ).
tff(func_def_68,type,
'true_ltln$a': 'A_ltln_ltln$' ).
tff(func_def_69,type,
'pair$b': ( 'A_ltln$' * 'A_ltln_a_ltln_option_fun$' ) > 'A_ltln_a_ltln_a_ltln_option_fun_prod$' ).
tff(func_def_70,type,
'is_nu_LTL_rel$': 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_71,type,
'ltl_prop_implies$': 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_72,type,
'fun_app$r': ( 'A_a_bool_fun_fun_int_fun$' * 'A_a_bool_fun_fun$' ) > $int ).
tff(func_def_73,type,
'w$a': 'A_set_list$' ).
tff(func_def_74,type,
'semantics_ltln$': 'Nat_a_set_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_75,type,
'w$': 'A_set_list$' ).
tff(func_def_76,type,
def_5: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).
tff(func_def_77,type,
tlfalse: tlbool ).
tff(func_def_78,type,
'nat$': $int > 'Nat$' ).
tff(func_def_79,type,
def_3: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).
tff(func_def_80,type,
'append$': ( 'A_set_list$' * 'A_set_list$' ) > 'A_set_list$' ).
tff(func_def_81,type,
'uud$': 'A_ltln_ltln_a_ltln_ltln_bool_fun_fun$' ).
tff(func_def_82,type,
'maps$': ( 'A_set_a_set_list_fun$' * 'A_set_list$' ) > 'A_set_list$' ).
tff(func_def_83,type,
'uuc$': 'A_a_bool_fun_fun$' ).
tff(func_def_84,type,
'or_ltln$a': ( 'A_ltln_ltln$' * 'A_ltln_ltln$' ) > 'A_ltln_ltln$' ).
tff(func_def_85,type,
'uua$': 'A_ltln_set$' > 'A_ltln_bool_fun$' ).
tff(func_def_86,type,
'is_mu_LTL_rel$': 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_87,type,
'weakUntil_ltln$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_88,type,
'fun_app$e': ( 'A_a_bool_fun_fun$' * 'A$' ) > 'A_bool_fun$' ).
tff(func_def_89,type,
'nprop_ltln$a': 'A_ltln$' > 'A_ltln_ltln$' ).
tff(func_def_90,type,
'ltl_lang_equiv$a': 'A_ltln_ltln_a_ltln_ltln_bool_fun_fun$' ).
tff(func_def_91,type,
'phi$': 'A_ltln$' ).
tff(func_def_92,type,
'next_ltln$': 'A_ltln$' > 'A_ltln$' ).
tff(func_def_93,type,
'af_letter$a': ( 'A_ltln_ltln$' * 'A_ltln_set$' ) > 'A_ltln_ltln$' ).
tff(func_def_94,type,
'strongRelease_ltln$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_99,type,
sK0: ( 'A_set_list$' * 'A_set_list$' * 'A_set_list$' * 'A_set_list$' ) > 'A_set_list$' ).
tff(func_def_100,type,
sK1: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_bool_fun_fun$' ) > 'A_ltln$' ).
tff(func_def_101,type,
sK2: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_bool_fun_fun$' ) > 'A_ltln$' ).
tff(func_def_102,type,
sK3: ( 'A_ltln$' * 'A_ltln$' ) > 'Nat_a_set_fun$' ).
tff(func_def_103,type,
sK4: 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln$' ).
tff(func_def_104,type,
sK5: 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln$' ).
tff(pred_def_1,type,
'equivp$a': 'A_ltln_ltln_a_ltln_ltln_bool_fun_fun$' > $o ).
tff(pred_def_2,type,
'less_eq$': ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_bool_fun_fun$' ) > $o ).
tff(pred_def_3,type,
'fun_app$a': ( 'A_bool_fun$' * 'A$' ) > $o ).
tff(pred_def_4,type,
'less_eq$g': ( 'A_bool_fun$' * 'A_bool_fun$' ) > $o ).
tff(pred_def_5,type,
'less_eq$d': ( 'A_set$' * 'A_set$' ) > $o ).
tff(pred_def_6,type,
'less_eq$b': ( 'A_a_bool_fun_fun$' * 'A_a_bool_fun_fun$' ) > $o ).
tff(pred_def_7,type,
'accp$a': ( 'A_ltln_set_a_ltln_prod_a_ltln_set_a_ltln_prod_bool_fun_fun$' * 'A_ltln_set_a_ltln_prod$' ) > $o ).
tff(pred_def_8,type,
'equivp$': 'A_ltln_a_ltln_bool_fun_fun$' > $o ).
tff(pred_def_9,type,
'fun_app$': ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > $o ).
tff(pred_def_10,type,
'member$': ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_11,type,
'af_congruent$': 'A_ltln_a_ltln_bool_fun_fun$' > $o ).
tff(pred_def_12,type,
'fun_app$h': ( 'Int_bool_fun$' * $int ) > $o ).
tff(pred_def_13,type,
'ltl_equivalence$': 'A_ltln_a_ltln_bool_fun_fun$' > $o ).
tff(pred_def_14,type,
'less_eq$a': ( 'A_ltln_ltln_a_ltln_ltln_bool_fun_fun$' * 'A_ltln_ltln_a_ltln_ltln_bool_fun_fun$' ) > $o ).
tff(pred_def_15,type,
'fun_app$b': ( 'A_ltln_ltln_bool_fun$' * 'A_ltln_ltln$' ) > $o ).
tff(pred_def_16,type,
'af_congruent_axioms$': 'A_ltln_a_ltln_bool_fun_fun$' > $o ).
tff(pred_def_17,type,
'less_eq$c': ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > $o ).
tff(pred_def_18,type,
'ltl_equivalence$a': 'A_ltln_ltln_a_ltln_ltln_bool_fun_fun$' > $o ).
tff(pred_def_19,type,
'less_eq$h': ( 'A_ltln_set$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_20,type,
'less_eq$f': ( 'A_ltln_ltln_bool_fun$' * 'A_ltln_ltln_bool_fun$' ) > $o ).
tff(pred_def_21,type,
'less_eq$e': ( tlbool * tlbool ) > $o ).
tff(pred_def_22,type,
'member$a': ( 'A$' * 'A_set$' ) > $o ).
tff(f2487,plain,
$false,
inference(subsumption_resolution,[],[f2486,f938]) ).
tff(f938,plain,
! [X0: 'A_ltln$'] : 'fun_app$'('fun_app$d'('eq$',X0),X0),
inference(cnf_transformation,[],[f10]) ).
tff(f10,axiom,
! [X0: 'A_ltln$'] : 'fun_app$'('fun_app$d'('eq$',X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom8) ).
tff(f2486,plain,
~ 'fun_app$'('fun_app$d'('eq$','true_ltln$'),'true_ltln$'),
inference(forward_demodulation,[],[f2485,f924]) ).
tff(f924,plain,
! [X0: 'A_set_list$'] : ( 'true_ltln$' = 'foldl$'('af_letter$','true_ltln$',X0) ),
inference(cnf_transformation,[],[f16]) ).
tff(f16,axiom,
! [X0: 'A_set_list$'] : ( 'true_ltln$' = 'foldl$'('af_letter$','true_ltln$',X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom14) ).
tff(f2485,plain,
~ 'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$','true_ltln$','append$'('w$','w$a'))),'true_ltln$'),
inference(subsumption_resolution,[],[f2480,f920]) ).
tff(f920,plain,
'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$','phi$','w$')),'true_ltln$'),
inference(cnf_transformation,[],[f8]) ).
tff(f8,axiom,
'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$','phi$','w$')),'true_ltln$'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hypothesis6) ).
tff(f2480,plain,
( ~ 'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$','phi$','w$')),'true_ltln$')
| ~ 'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$','true_ltln$','append$'('w$','w$a'))),'true_ltln$') ),
inference(superposition,[],[f1390,f924]) ).
tff(f1390,plain,
! [X0: 'A_ltln$'] :
( ~ 'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$','phi$','w$')),'foldl$'('af_letter$',X0,'w$'))
| ~ 'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$',X0,'append$'('w$','w$a'))),'true_ltln$') ),
inference(resolution,[],[f1237,f933]) ).
tff(f933,plain,
! [X2: 'A_ltln$',X3: 'A_set_list$',X0: 'A_ltln$',X1: 'A_set_list$'] :
( 'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$',X0,'append$'(X1,X3))),'foldl$'('af_letter$',X2,'append$'(X1,X3)))
| ~ 'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$',X0,X1)),'foldl$'('af_letter$',X2,X1)) ),
inference(cnf_transformation,[],[f733]) ).
tff(f733,plain,
! [X0: 'A_ltln$',X1: 'A_set_list$',X2: 'A_ltln$',X3: 'A_set_list$'] :
( 'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$',X0,'append$'(X1,X3))),'foldl$'('af_letter$',X2,'append$'(X1,X3)))
| ~ 'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$',X0,X1)),'foldl$'('af_letter$',X2,X1)) ),
inference(ennf_transformation,[],[f15]) ).
tff(f15,axiom,
! [X0: 'A_ltln$',X1: 'A_set_list$',X2: 'A_ltln$',X3: 'A_set_list$'] :
( 'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$',X0,X1)),'foldl$'('af_letter$',X2,X1))
=> 'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$',X0,'append$'(X1,X3))),'foldl$'('af_letter$',X2,'append$'(X1,X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom13) ).
tff(f1237,plain,
! [X0: 'A_ltln$'] :
( ~ 'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$','phi$','append$'('w$','w$a'))),X0)
| ~ 'fun_app$'('fun_app$d'('eq$',X0),'true_ltln$') ),
inference(resolution,[],[f919,f936]) ).
tff(f936,plain,
! [X2: 'A_ltln$',X0: 'A_ltln$',X1: 'A_ltln$'] :
( 'fun_app$'('fun_app$d'('eq$',X0),X2)
| ~ 'fun_app$'('fun_app$d'('eq$',X1),X2)
| ~ 'fun_app$'('fun_app$d'('eq$',X0),X1) ),
inference(cnf_transformation,[],[f736]) ).
tff(f736,plain,
! [X0: 'A_ltln$',X1: 'A_ltln$',X2: 'A_ltln$'] :
( 'fun_app$'('fun_app$d'('eq$',X0),X2)
| ~ 'fun_app$'('fun_app$d'('eq$',X1),X2)
| ~ 'fun_app$'('fun_app$d'('eq$',X0),X1) ),
inference(flattening,[],[f735]) ).
tff(f735,plain,
! [X0: 'A_ltln$',X1: 'A_ltln$',X2: 'A_ltln$'] :
( 'fun_app$'('fun_app$d'('eq$',X0),X2)
| ~ 'fun_app$'('fun_app$d'('eq$',X1),X2)
| ~ 'fun_app$'('fun_app$d'('eq$',X0),X1) ),
inference(ennf_transformation,[],[f12]) ).
tff(f12,axiom,
! [X0: 'A_ltln$',X1: 'A_ltln$',X2: 'A_ltln$'] :
( ( 'fun_app$'('fun_app$d'('eq$',X1),X2)
& 'fun_app$'('fun_app$d'('eq$',X0),X1) )
=> 'fun_app$'('fun_app$d'('eq$',X0),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom10) ).
tff(f919,plain,
~ 'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$','phi$','append$'('w$','w$a'))),'true_ltln$'),
inference(cnf_transformation,[],[f726]) ).
tff(f726,plain,
~ 'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$','phi$','append$'('w$','w$a'))),'true_ltln$'),
inference(flattening,[],[f7]) ).
tff(f7,negated_conjecture,
~ 'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$','phi$','append$'('w$','w$a'))),'true_ltln$'),
inference(negated_conjecture,[],[f6]) ).
tff(f6,conjecture,
'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$','phi$','append$'('w$','w$a'))),'true_ltln$'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture5) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : ITP001_1 : TPTP v8.2.0. Released v8.1.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat May 18 17:07:07 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TF0_THM_EQU_ARI problem
% 0.14/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.76/0.93 % (18253)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.76/0.93 % (18254)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.76/0.93 % (18255)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2994ds/34Mi)
% 0.76/0.93 % (18256)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.76/0.93 % (18252)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2994ds/51Mi)
% 0.76/0.93 % (18257)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2994ds/83Mi)
% 0.76/0.93 % (18258)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2994ds/56Mi)
% 0.76/0.93 % (18251)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2994ds/34Mi)
% 0.76/0.95 % (18251)Instruction limit reached!
% 0.76/0.95 % (18251)------------------------------
% 0.76/0.95 % (18251)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.95 % (18251)Termination reason: Unknown
% 0.76/0.95 % (18251)Termination phase: Preprocessing 1
% 0.76/0.95
% 0.76/0.95 % (18251)Memory used [KB]: 1644
% 0.76/0.95 % (18251)Time elapsed: 0.019 s
% 0.76/0.95 % (18251)Instructions burned: 34 (million)
% 0.76/0.95 % (18251)------------------------------
% 0.76/0.95 % (18251)------------------------------
% 0.76/0.95 % (18255)Instruction limit reached!
% 0.76/0.95 % (18255)------------------------------
% 0.76/0.95 % (18255)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.95 % (18255)Termination reason: Unknown
% 0.76/0.95 % (18255)Termination phase: Preprocessing 1
% 0.76/0.95
% 0.76/0.95 % (18255)Memory used [KB]: 1629
% 0.76/0.95 % (18255)Time elapsed: 0.021 s
% 0.76/0.95 % (18255)Instructions burned: 35 (million)
% 0.76/0.95 % (18255)------------------------------
% 0.76/0.95 % (18255)------------------------------
% 0.76/0.95 % (18260)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2994ds/50Mi)
% 0.76/0.95 % (18259)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2994ds/55Mi)
% 0.76/0.96 % (18256)Instruction limit reached!
% 0.76/0.96 % (18256)------------------------------
% 0.76/0.96 % (18256)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.96 % (18256)Termination reason: Unknown
% 0.76/0.96 % (18256)Termination phase: Equality resolution with deletion
% 0.76/0.96
% 0.76/0.96 % (18256)Memory used [KB]: 1885
% 0.76/0.96 % (18256)Time elapsed: 0.027 s
% 0.76/0.96 % (18256)Instructions burned: 45 (million)
% 0.76/0.96 % (18256)------------------------------
% 0.76/0.96 % (18256)------------------------------
% 0.76/0.96 % (18252)Instruction limit reached!
% 0.76/0.96 % (18252)------------------------------
% 0.76/0.96 % (18252)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.96 % (18252)Termination reason: Unknown
% 0.76/0.96 % (18252)Termination phase: Preprocessing 3
% 0.76/0.96
% 0.76/0.96 % (18252)Memory used [KB]: 2356
% 0.76/0.96 % (18252)Time elapsed: 0.030 s
% 0.76/0.96 % (18252)Instructions burned: 51 (million)
% 0.76/0.96 % (18252)------------------------------
% 0.76/0.96 % (18252)------------------------------
% 0.76/0.96 % (18254)Instruction limit reached!
% 0.76/0.96 % (18254)------------------------------
% 0.76/0.96 % (18254)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.96 % (18254)Termination reason: Unknown
% 0.76/0.96 % (18254)Termination phase: Property scanning
% 0.76/0.96
% 0.76/0.96 % (18254)Memory used [KB]: 1640
% 0.76/0.96 % (18254)Time elapsed: 0.022 s
% 0.76/0.96 % (18254)Instructions burned: 33 (million)
% 0.76/0.96 % (18254)------------------------------
% 0.76/0.96 % (18254)------------------------------
% 0.76/0.96 % (18261)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2994ds/208Mi)
% 0.76/0.96 % (18262)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2994ds/52Mi)
% 0.76/0.96 % (18258)Instruction limit reached!
% 0.76/0.96 % (18258)------------------------------
% 0.76/0.96 % (18258)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.96 % (18258)Termination reason: Unknown
% 0.76/0.96 % (18258)Termination phase: Saturation
% 0.76/0.96
% 0.76/0.96 % (18258)Memory used [KB]: 1944
% 0.76/0.96 % (18258)Time elapsed: 0.035 s
% 0.76/0.96 % (18258)Instructions burned: 57 (million)
% 0.76/0.96 % (18258)------------------------------
% 0.76/0.96 % (18258)------------------------------
% 0.76/0.96 % (18263)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2994ds/518Mi)
% 0.76/0.97 % (18265)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2993ds/42Mi)
% 0.76/0.98 % (18257)Instruction limit reached!
% 0.76/0.98 % (18257)------------------------------
% 0.76/0.98 % (18257)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.98 % (18257)Termination reason: Unknown
% 0.76/0.98 % (18257)Termination phase: Saturation
% 0.76/0.98
% 0.76/0.98 % (18257)Memory used [KB]: 2783
% 0.76/0.98 % (18257)Time elapsed: 0.051 s
% 0.76/0.98 % (18257)Instructions burned: 84 (million)
% 0.76/0.98 % (18257)------------------------------
% 0.76/0.98 % (18257)------------------------------
% 0.76/0.98 % (18260)Instruction limit reached!
% 0.76/0.98 % (18260)------------------------------
% 0.76/0.98 % (18260)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.98 % (18260)Termination reason: Unknown
% 0.76/0.98 % (18260)Termination phase: Preprocessing 3
% 0.76/0.98
% 0.76/0.98 % (18260)Memory used [KB]: 2326
% 0.76/0.98 % (18260)Time elapsed: 0.028 s
% 0.76/0.98 % (18260)Instructions burned: 50 (million)
% 0.76/0.98 % (18260)------------------------------
% 0.76/0.98 % (18260)------------------------------
% 0.76/0.98 % (18267)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2993ds/117Mi)
% 0.76/0.98 % (18266)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2993ds/243Mi)
% 0.76/0.99 % (18259)Instruction limit reached!
% 0.76/0.99 % (18259)------------------------------
% 0.76/0.99 % (18259)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.99 % (18259)Termination reason: Unknown
% 0.76/0.99 % (18253)Instruction limit reached!
% 0.76/0.99 % (18253)------------------------------
% 0.76/0.99 % (18253)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.99 % (18259)Termination phase: Preprocessing 3
% 0.76/0.99
% 0.76/0.99 % (18259)Memory used [KB]: 2631
% 0.76/0.99 % (18259)Time elapsed: 0.033 s
% 0.76/0.99 % (18259)Instructions burned: 56 (million)
% 0.76/0.99 % (18259)------------------------------
% 0.76/0.99 % (18259)------------------------------
% 0.76/0.99 % (18253)Termination reason: Unknown
% 0.76/0.99 % (18253)Termination phase: Saturation
% 0.76/0.99
% 0.76/0.99 % (18253)Memory used [KB]: 2335
% 0.76/0.99 % (18253)Time elapsed: 0.050 s
% 0.76/0.99 % (18253)Instructions burned: 79 (million)
% 0.76/0.99 % (18253)------------------------------
% 0.76/0.99 % (18253)------------------------------
% 0.76/0.99 % (18268)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2993ds/143Mi)
% 0.76/0.99 % (18269)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2993ds/93Mi)
% 0.76/0.99 % (18262)Instruction limit reached!
% 0.76/0.99 % (18262)------------------------------
% 0.76/0.99 % (18262)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.99 % (18262)Termination reason: Unknown
% 0.76/0.99 % (18262)Termination phase: Property scanning
% 0.76/0.99
% 0.76/0.99 % (18262)Memory used [KB]: 2174
% 0.76/0.99 % (18262)Time elapsed: 0.032 s
% 0.76/0.99 % (18262)Instructions burned: 52 (million)
% 0.76/0.99 % (18262)------------------------------
% 0.76/0.99 % (18262)------------------------------
% 0.76/0.99 % (18265)Instruction limit reached!
% 0.76/0.99 % (18265)------------------------------
% 0.76/0.99 % (18265)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.99 % (18265)Termination reason: Unknown
% 0.76/0.99 % (18265)Termination phase: Preprocessing 3
% 0.76/0.99
% 0.76/0.99 % (18265)Memory used [KB]: 2229
% 0.76/0.99 % (18265)Time elapsed: 0.028 s
% 0.76/0.99 % (18265)Instructions burned: 43 (million)
% 0.76/0.99 % (18265)------------------------------
% 0.76/0.99 % (18265)------------------------------
% 0.76/1.00 % (18270)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2993ds/62Mi)
% 0.76/1.00 % (18271)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2993ds/32Mi)
% 1.15/1.02 % (18271)Instruction limit reached!
% 1.15/1.02 % (18271)------------------------------
% 1.15/1.02 % (18271)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.15/1.02 % (18271)Termination reason: Unknown
% 1.15/1.02 % (18271)Termination phase: SInE selection
% 1.15/1.02
% 1.15/1.02 % (18271)Memory used [KB]: 1649
% 1.15/1.02 % (18271)Time elapsed: 0.020 s
% 1.15/1.02 % (18271)Instructions burned: 33 (million)
% 1.15/1.02 % (18271)------------------------------
% 1.15/1.02 % (18271)------------------------------
% 1.15/1.02 % (18272)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2993ds/1919Mi)
% 1.15/1.03 % (18270)Instruction limit reached!
% 1.15/1.03 % (18270)------------------------------
% 1.15/1.03 % (18270)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.15/1.03 % (18270)Termination reason: Unknown
% 1.15/1.03 % (18270)Termination phase: NewCNF
% 1.15/1.03
% 1.15/1.03 % (18270)Memory used [KB]: 3066
% 1.15/1.03 % (18270)Time elapsed: 0.038 s
% 1.15/1.03 % (18270)Instructions burned: 62 (million)
% 1.15/1.03 % (18270)------------------------------
% 1.15/1.03 % (18270)------------------------------
% 1.15/1.04 % (18273)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on theBenchmark for (2993ds/55Mi)
% 1.15/1.05 % (18269)Instruction limit reached!
% 1.15/1.05 % (18269)------------------------------
% 1.15/1.05 % (18269)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.15/1.05 % (18269)Termination reason: Unknown
% 1.15/1.05 % (18269)Termination phase: Property scanning
% 1.15/1.05
% 1.15/1.05 % (18269)Memory used [KB]: 3364
% 1.15/1.05 % (18269)Time elapsed: 0.057 s
% 1.15/1.05 % (18269)Instructions burned: 94 (million)
% 1.15/1.05 % (18269)------------------------------
% 1.15/1.05 % (18269)------------------------------
% 1.15/1.05 % (18274)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on theBenchmark for (2993ds/53Mi)
% 1.15/1.05 % (18267)Instruction limit reached!
% 1.15/1.05 % (18267)------------------------------
% 1.15/1.05 % (18267)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.15/1.05 % (18267)Termination reason: Unknown
% 1.15/1.05 % (18267)Termination phase: Property scanning
% 1.15/1.05
% 1.15/1.05 % (18267)Memory used [KB]: 3501
% 1.15/1.05 % (18267)Time elapsed: 0.069 s
% 1.15/1.05 % (18267)Instructions burned: 117 (million)
% 1.15/1.05 % (18267)------------------------------
% 1.15/1.05 % (18267)------------------------------
% 1.15/1.05 % (18263)First to succeed.
% 1.15/1.05 % (18263)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18250"
% 1.15/1.06 % (18263)Refutation found. Thanks to Tanya!
% 1.15/1.06 % SZS status Theorem for theBenchmark
% 1.15/1.06 % SZS output start Proof for theBenchmark
% See solution above
% 1.15/1.06 % (18263)------------------------------
% 1.15/1.06 % (18263)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.15/1.06 % (18263)Termination reason: Refutation
% 1.15/1.06
% 1.15/1.06 % (18263)Memory used [KB]: 2264
% 1.15/1.06 % (18263)Time elapsed: 0.091 s
% 1.15/1.06 % (18263)Instructions burned: 149 (million)
% 1.15/1.06 % (18250)Success in time 0.685 s
% 1.15/1.06 % Vampire---4.8 exiting
%------------------------------------------------------------------------------