TSTP Solution File: ITP367_1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP367_1 : TPTP v8.1.2. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n002.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 : Sun May 5 06:56:06 EDT 2024
% Result : Theorem 0.68s 0.92s
% Output : Refutation 0.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 165
% Syntax : Number of formulae : 191 ( 15 unt; 156 typ; 0 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 68 ( 32 ~; 27 |; 5 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 20 ( 19 usr)
% Number of type conns : 153 ( 100 >; 53 *; 0 +; 0 <<)
% Number of predicates : 19 ( 18 usr; 3 prp; 0-4 aty)
% Number of functors : 121 ( 121 usr; 37 con; 0-4 aty)
% Number of variables : 22 ( 22 !; 0 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'A_ltln_set_a_ltln_set_set_fun$': $tType ).
tff(type_def_6,type,
'A_ltln_set_a_ltln_set_set_a_ltln_set_set_fun_fun$': $tType ).
tff(type_def_7,type,
'A_ltln_set_a_ltln_set_bool_fun_fun$': $tType ).
tff(type_def_8,type,
'A_ltln_set_bool_fun$': $tType ).
tff(type_def_9,type,
'A_ltln_set_set_a_ltln_set_set_a_ltln_set_set_fun_fun$': $tType ).
tff(type_def_10,type,
'A_ltln_set_set_a_ltln_set_fun$': $tType ).
tff(type_def_11,type,
'A_ltln_bool_fun$': $tType ).
tff(type_def_12,type,
'A_ltln_set_set_set$': $tType ).
tff(type_def_13,type,
'A_ltln_set$': $tType ).
tff(type_def_14,type,
'A_ltln_set_set_bool_fun$': $tType ).
tff(type_def_15,type,
'A_ltln$': $tType ).
tff(type_def_16,type,
'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$': $tType ).
tff(type_def_17,type,
'A_ltln_a_ltln_set_a_ltln_set_fun_fun$': $tType ).
tff(type_def_18,type,
'A_ltln_set_a_ltln_set_fun$': $tType ).
tff(type_def_19,type,
'A_ltln_a_ltln_set_set_fun$': $tType ).
tff(type_def_20,type,
'A_ltln_set_set_a_ltln_set_set_fun$': $tType ).
tff(type_def_21,type,
'A_ltln_a_ltln_set_fun$': $tType ).
tff(type_def_22,type,
'A_ltln_a_ltln_bool_fun_fun$': $tType ).
tff(type_def_23,type,
'A_ltln_set_set$': $tType ).
tff(func_def_0,type,
'member$': 'A_ltln$' > 'A_ltln_set_bool_fun$' ).
tff(func_def_1,type,
'subformulas_nu$': 'A_ltln_a_ltln_set_fun$' ).
tff(func_def_2,type,
'sup_fin$a': 'A_ltln_set_set_a_ltln_set_fun$' ).
tff(func_def_3,type,
'bot$': 'A_ltln_set_set$' ).
tff(func_def_4,type,
'inf_fin$a': 'A_ltln_set_set_a_ltln_set_fun$' ).
tff(func_def_5,type,
'fun_app$l': ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln$' ) > 'A_ltln_bool_fun$' ).
tff(func_def_6,type,
'bind$c': ( 'A_ltln_set$' * 'A_ltln_a_ltln_set_fun$' ) > 'A_ltln_set$' ).
tff(func_def_7,type,
'bot$c': 'A_ltln_bool_fun$' ).
tff(func_def_8,type,
'insert$': ( 'A_ltln_set_set$' * 'A_ltln_set_set_set$' ) > 'A_ltln_set_set_set$' ).
tff(func_def_9,type,
'insert$b': 'A_ltln_a_ltln_set_a_ltln_set_fun_fun$' ).
tff(func_def_10,type,
'disjnt$a': 'A_ltln_set_a_ltln_set_bool_fun_fun$' ).
tff(func_def_11,type,
'x$': 'A_ltln_set$' ).
tff(func_def_12,type,
'minus$a': 'A_ltln_set_set_a_ltln_set_set_a_ltln_set_set_fun_fun$' ).
tff(func_def_13,type,
'is_singleton$a': 'A_ltln_set_set_bool_fun$' ).
tff(func_def_14,type,
'fun_app$g': ( 'A_ltln_set_a_ltln_set_bool_fun_fun$' * 'A_ltln_set$' ) > 'A_ltln_set_bool_fun$' ).
tff(func_def_15,type,
'minus$b': 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' ).
tff(func_def_16,type,
'minus$': ( 'A_ltln_set_set_set$' * 'A_ltln_set_set_set$' ) > 'A_ltln_set_set_set$' ).
tff(func_def_17,type,
'less_eq$a': 'A_ltln_set_set$' > 'A_ltln_set_set_bool_fun$' ).
tff(func_def_18,type,
'bind$': ( 'A_ltln_set$' * 'A_ltln_a_ltln_set_set_fun$' ) > 'A_ltln_set_set$' ).
tff(func_def_19,type,
'filter$a': 'A_ltln_bool_fun$' > 'A_ltln_set_a_ltln_set_fun$' ).
tff(func_def_20,type,
'y$': 'A_ltln_set$' ).
tff(func_def_21,type,
'fun_app$h': ( 'A_ltln_a_ltln_set_fun$' * 'A_ltln$' ) > 'A_ltln_set$' ).
tff(func_def_22,type,
'subformulas_mu$': 'A_ltln_a_ltln_set_fun$' ).
tff(func_def_23,type,
'fun_app$i': ( 'A_ltln_set_set_a_ltln_set_fun$' * 'A_ltln_set_set$' ) > 'A_ltln_set$' ).
tff(func_def_24,type,
'is_empty$a': 'A_ltln_set_set_bool_fun$' ).
tff(func_def_25,type,
'fun_app$e': ( 'A_ltln_set_set_a_ltln_set_set_fun$' * 'A_ltln_set_set$' ) > 'A_ltln_set_set$' ).
tff(func_def_26,type,
'is_singleton$': 'A_ltln_set_bool_fun$' ).
tff(func_def_27,type,
'collect$a': 'A_ltln_bool_fun$' > 'A_ltln_set$' ).
tff(func_def_28,type,
'insert$a': 'A_ltln_set_a_ltln_set_set_a_ltln_set_set_fun_fun$' ).
tff(func_def_29,type,
'max$': 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' ).
tff(func_def_30,type,
'sup$b': ( 'A_ltln_set_set_set$' * 'A_ltln_set_set_set$' ) > 'A_ltln_set_set_set$' ).
tff(func_def_31,type,
'sup_fin$': 'A_ltln_set_set_set$' > 'A_ltln_set_set$' ).
tff(func_def_32,type,
'uu$': 'A_ltln_set_set$' > 'A_ltln_set_bool_fun$' ).
tff(func_def_33,type,
'inf$a': 'A_ltln_set_set_a_ltln_set_set_a_ltln_set_set_fun_fun$' ).
tff(func_def_34,type,
'inf_fin$': 'A_ltln_set_set_set$' > 'A_ltln_set_set$' ).
tff(func_def_35,type,
'bind$a': ( 'A_ltln_set_set$' * 'A_ltln_set_a_ltln_set_fun$' ) > 'A_ltln_set$' ).
tff(func_def_36,type,
'bind$b': ( 'A_ltln_set_set$' * 'A_ltln_set_a_ltln_set_set_fun$' ) > 'A_ltln_set_set$' ).
tff(func_def_37,type,
'inf$': 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' ).
tff(func_def_38,type,
'fun_app$k': ( 'A_ltln_set_a_ltln_set_set_fun$' * 'A_ltln_set$' ) > 'A_ltln_set_set$' ).
tff(func_def_39,type,
'fun_app$m': ( 'A_ltln_set_a_ltln_set_set_a_ltln_set_set_fun_fun$' * 'A_ltln_set$' ) > 'A_ltln_set_set_a_ltln_set_set_fun$' ).
tff(func_def_40,type,
'bot$a': 'A_ltln_set$' ).
tff(func_def_41,type,
'fun_app$j': ( 'A_ltln_a_ltln_set_set_fun$' * 'A_ltln$' ) > 'A_ltln_set_set$' ).
tff(func_def_42,type,
'disjnt$': 'A_ltln_set_set$' > 'A_ltln_set_set_bool_fun$' ).
tff(func_def_43,type,
'fold$a': ( 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' * 'A_ltln_set$' ) > 'A_ltln_set_set_a_ltln_set_fun$' ).
tff(func_def_44,type,
'is_empty$': 'A_ltln_set_bool_fun$' ).
tff(func_def_45,type,
'sup$a': 'A_ltln_set_set_a_ltln_set_set_a_ltln_set_set_fun_fun$' ).
tff(func_def_46,type,
'fun_app$n': ( 'A_ltln_a_ltln_set_a_ltln_set_fun_fun$' * 'A_ltln$' ) > 'A_ltln_set_a_ltln_set_fun$' ).
tff(func_def_47,type,
'fold$': 'A_ltln_a_ltln_set_a_ltln_set_fun_fun$' > 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' ).
tff(func_def_48,type,
'the_elem$': 'A_ltln_set$' > 'A_ltln$' ).
tff(func_def_49,type,
'bot$d': 'A_ltln_set_bool_fun$' ).
tff(func_def_50,type,
'fun_app$f': ( 'A_ltln_set_set_a_ltln_set_set_a_ltln_set_set_fun_fun$' * 'A_ltln_set_set$' ) > 'A_ltln_set_set_a_ltln_set_set_fun$' ).
tff(func_def_51,type,
'collect$': 'A_ltln_set_bool_fun$' > 'A_ltln_set_set$' ).
tff(func_def_52,type,
'sup$': 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' ).
tff(func_def_53,type,
'less_eq$': 'A_ltln_set_a_ltln_set_bool_fun_fun$' ).
tff(func_def_54,type,
'the_elem$a': 'A_ltln_set_set_a_ltln_set_fun$' ).
tff(func_def_55,type,
'finite$a': 'A_ltln_set_set_bool_fun$' ).
tff(func_def_56,type,
'finite$': 'A_ltln_set_bool_fun$' ).
tff(func_def_57,type,
'member$a': 'A_ltln_set$' > 'A_ltln_set_set_bool_fun$' ).
tff(func_def_58,type,
'uua$': 'A_ltln_set$' > 'A_ltln_bool_fun$' ).
tff(func_def_59,type,
'bot$b': 'A_ltln_set_set_set$' ).
tff(func_def_60,type,
'fun_app$d': ( 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' * 'A_ltln_set$' ) > 'A_ltln_set_a_ltln_set_fun$' ).
tff(func_def_61,type,
'remove$': 'A_ltln_a_ltln_set_a_ltln_set_fun_fun$' ).
tff(func_def_62,type,
'filter$': 'A_ltln_set_bool_fun$' > 'A_ltln_set_set_a_ltln_set_set_fun$' ).
tff(func_def_63,type,
'phi$': 'A_ltln$' ).
tff(func_def_64,type,
'fun_app$c': ( 'A_ltln_set_a_ltln_set_fun$' * 'A_ltln_set$' ) > 'A_ltln_set$' ).
tff(func_def_65,type,
sK4: ( 'A_ltln_set$' * 'A_ltln_set$' * 'A_ltln_set$' ) > 'A_ltln_set$' ).
tff(func_def_66,type,
sK5: ( 'A_ltln_set$' * 'A_ltln_set$' * 'A_ltln_set$' ) > 'A_ltln_set$' ).
tff(func_def_67,type,
sK6: 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_68,type,
sK7: 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_69,type,
sK8: 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_70,type,
sK9: 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_71,type,
sK10: 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_72,type,
sK11: 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_73,type,
sK12: 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_74,type,
sK13: ( 'A_ltln_set$' * 'A_ltln_set_bool_fun$' ) > 'A_ltln$' ).
tff(func_def_75,type,
sK14: ( 'A_ltln_set$' * 'A_ltln_set_bool_fun$' ) > 'A_ltln_set$' ).
tff(func_def_76,type,
sK15: ( 'A_ltln_set$' * 'A_ltln_set_bool_fun$' ) > 'A_ltln$' ).
tff(func_def_77,type,
sK16: ( 'A_ltln_set$' * 'A_ltln_set_bool_fun$' ) > 'A_ltln_set$' ).
tff(func_def_78,type,
sK17: 'A_ltln_set_bool_fun$' > 'A_ltln$' ).
tff(func_def_79,type,
sK18: 'A_ltln_set_bool_fun$' > 'A_ltln_set$' ).
tff(func_def_80,type,
sK19: 'A_ltln_set_bool_fun$' > 'A_ltln_set$' ).
tff(func_def_81,type,
sK20: 'A_ltln_set_bool_fun$' > 'A_ltln$' ).
tff(func_def_82,type,
sK21: 'A_ltln_set_bool_fun$' > 'A_ltln_set$' ).
tff(func_def_83,type,
sK22: 'A_ltln_set_bool_fun$' > 'A_ltln$' ).
tff(func_def_84,type,
sK23: 'A_ltln_set_bool_fun$' > 'A_ltln$' ).
tff(func_def_85,type,
sK24: 'A_ltln_set_bool_fun$' > 'A_ltln_set$' ).
tff(func_def_86,type,
sK25: 'A_ltln_set$' > 'A_ltln_set$' ).
tff(func_def_87,type,
sK26: 'A_ltln_set$' > 'A_ltln$' ).
tff(func_def_88,type,
sK27: 'A_ltln_set$' > 'A_ltln_set$' ).
tff(func_def_89,type,
sK28: 'A_ltln_set$' > 'A_ltln$' ).
tff(func_def_90,type,
sK29: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_91,type,
sK30: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_92,type,
sK31: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_93,type,
sK32: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_94,type,
sK33: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_95,type,
sK34: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_96,type,
sK35: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_97,type,
sK36: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_98,type,
sK37: 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_99,type,
sK38: 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_100,type,
sK39: 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_101,type,
sK40: 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_102,type,
sK41: 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_103,type,
sK42: 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_104,type,
sK43: 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_105,type,
sK44: 'A_ltln_set$' ).
tff(func_def_106,type,
sK45: 'A_ltln_set$' ).
tff(func_def_107,type,
sK46: 'A_ltln_set$' ).
tff(func_def_108,type,
sK47: 'A_ltln_set$' ).
tff(func_def_109,type,
sK48: 'A_ltln_set$' ).
tff(func_def_110,type,
sK49: 'A_ltln_set$' ).
tff(func_def_111,type,
sK50: 'A_ltln_set$' > 'A_ltln$' ).
tff(func_def_112,type,
sK51: ( 'A_ltln_set$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_113,type,
sK52: 'A_ltln_set$' > 'A_ltln$' ).
tff(func_def_114,type,
sK53: ( 'A_ltln_set$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_115,type,
sK54: 'A_ltln_set$' > 'A_ltln$' ).
tff(func_def_116,type,
sK55: ( 'A_ltln_set$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_117,type,
sK56: 'A_ltln_set$' > 'A_ltln$' ).
tff(func_def_118,type,
sK57: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln_set$' ).
tff(func_def_119,type,
sK58: ( 'A_ltln$' * 'A_ltln_set$' * 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln_set$' ).
tff(func_def_120,type,
sK59: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln_set$' ).
tff(pred_def_1,type,
'comp_fun_idem$': 'A_ltln_set_set_a_ltln_set_set_a_ltln_set_set_fun_fun$' > $o ).
tff(pred_def_2,type,
'fun_app$b': ( 'A_ltln_set_set_bool_fun$' * 'A_ltln_set_set$' ) > $o ).
tff(pred_def_3,type,
'fun_app$a': ( 'A_ltln_set_bool_fun$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_4,type,
'finite$b': 'A_ltln_set_set_set$' > $o ).
tff(pred_def_5,type,
'comp_fun_idem$a': 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' > $o ).
tff(pred_def_6,type,
'member$b': ( 'A_ltln_set_set$' * 'A_ltln_set_set_set$' ) > $o ).
tff(pred_def_7,type,
'comp_fun_idem$b': 'A_ltln_set_a_ltln_set_set_a_ltln_set_set_fun_fun$' > $o ).
tff(pred_def_8,type,
'fun_app$': ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > $o ).
tff(pred_def_9,type,
'less_eq$b': ( 'A_ltln_set_set_set$' * 'A_ltln_set_set_set$' ) > $o ).
tff(pred_def_10,type,
'comp_fun_idem$c': 'A_ltln_a_ltln_set_a_ltln_set_fun_fun$' > $o ).
tff(pred_def_11,type,
sP0: ( 'A_ltln_set$' * 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_12,type,
sP1: ( 'A_ltln_set$' * 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_13,type,
sP2: ( 'A_ltln$' * 'A_ltln_set$' * 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_14,type,
sP3: ( 'A_ltln_set$' * 'A_ltln$' * 'A_ltln_set$' * 'A_ltln$' ) > $o ).
tff(pred_def_15,type,
sQ60_eqProxy: ( 'A_ltln_set$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_16,type,
sQ61_eqProxy: ( 'A_ltln$' * 'A_ltln$' ) > $o ).
tff(f2086,plain,
$false,
inference(avatar_sat_refutation,[],[f1750,f1836,f2023]) ).
tff(f2023,plain,
spl62_2,
inference(avatar_contradiction_clause,[],[f2022]) ).
tff(f2022,plain,
( $false
| spl62_2 ),
inference(subsumption_resolution,[],[f1981,f1166]) ).
tff(f1166,plain,
! [X0: 'A_ltln$'] : 'fun_app$a'('finite$','fun_app$h'('subformulas_nu$',X0)),
inference(cnf_transformation,[],[f290]) ).
tff(f290,axiom,
! [X0: 'A_ltln$'] : 'fun_app$a'('finite$','fun_app$h'('subformulas_nu$',X0)),
file('/export/starexec/sandbox2/tmp/tmp.wQsGm2GkH8/Vampire---4.8_13703',axiom288) ).
tff(f1981,plain,
( ~ 'fun_app$a'('finite$','fun_app$h'('subformulas_nu$','phi$'))
| spl62_2 ),
inference(resolution,[],[f1902,f993]) ).
tff(f993,plain,
'fun_app$a'('fun_app$g'('less_eq$','y$'),'fun_app$h'('subformulas_nu$','phi$')),
inference(cnf_transformation,[],[f71]) ).
tff(f71,axiom,
'fun_app$a'('fun_app$g'('less_eq$','y$'),'fun_app$h'('subformulas_nu$','phi$')),
file('/export/starexec/sandbox2/tmp/tmp.wQsGm2GkH8/Vampire---4.8_13703',axiom69) ).
tff(f1902,plain,
( ! [X0: 'A_ltln_set$'] :
( ~ 'fun_app$a'('fun_app$g'('less_eq$','y$'),X0)
| ~ 'fun_app$a'('finite$',X0) )
| spl62_2 ),
inference(resolution,[],[f1747,f1115]) ).
tff(f1115,plain,
! [X0: 'A_ltln_set$',X1: 'A_ltln_set$'] :
( 'fun_app$a'('finite$',X0)
| ~ 'fun_app$a'('finite$',X1)
| ~ 'fun_app$a'('fun_app$g'('less_eq$',X0),X1) ),
inference(cnf_transformation,[],[f724]) ).
tff(f724,plain,
! [X0: 'A_ltln_set$',X1: 'A_ltln_set$'] :
( 'fun_app$a'('finite$',X0)
| ~ 'fun_app$a'('finite$',X1)
| ~ 'fun_app$a'('fun_app$g'('less_eq$',X0),X1) ),
inference(flattening,[],[f723]) ).
tff(f723,plain,
! [X0: 'A_ltln_set$',X1: 'A_ltln_set$'] :
( 'fun_app$a'('finite$',X0)
| ~ 'fun_app$a'('finite$',X1)
| ~ 'fun_app$a'('fun_app$g'('less_eq$',X0),X1) ),
inference(ennf_transformation,[],[f260]) ).
tff(f260,axiom,
! [X0: 'A_ltln_set$',X1: 'A_ltln_set$'] :
( ( 'fun_app$a'('finite$',X1)
& 'fun_app$a'('fun_app$g'('less_eq$',X0),X1) )
=> 'fun_app$a'('finite$',X0) ),
file('/export/starexec/sandbox2/tmp/tmp.wQsGm2GkH8/Vampire---4.8_13703',axiom258) ).
tff(f1747,plain,
( ~ 'fun_app$a'('finite$','y$')
| spl62_2 ),
inference(avatar_component_clause,[],[f1745]) ).
tff(f1745,plain,
( spl62_2
<=> 'fun_app$a'('finite$','y$') ),
introduced(avatar_definition,[new_symbols(naming,[spl62_2])]) ).
tff(f1836,plain,
spl62_1,
inference(avatar_contradiction_clause,[],[f1835]) ).
tff(f1835,plain,
( $false
| spl62_1 ),
inference(subsumption_resolution,[],[f1794,f1125]) ).
tff(f1125,plain,
! [X0: 'A_ltln$'] : 'fun_app$a'('finite$','fun_app$h'('subformulas_mu$',X0)),
inference(cnf_transformation,[],[f289]) ).
tff(f289,axiom,
! [X0: 'A_ltln$'] : 'fun_app$a'('finite$','fun_app$h'('subformulas_mu$',X0)),
file('/export/starexec/sandbox2/tmp/tmp.wQsGm2GkH8/Vampire---4.8_13703',axiom287) ).
tff(f1794,plain,
( ~ 'fun_app$a'('finite$','fun_app$h'('subformulas_mu$','phi$'))
| spl62_1 ),
inference(resolution,[],[f1763,f992]) ).
tff(f992,plain,
'fun_app$a'('fun_app$g'('less_eq$','x$'),'fun_app$h'('subformulas_mu$','phi$')),
inference(cnf_transformation,[],[f72]) ).
tff(f72,axiom,
'fun_app$a'('fun_app$g'('less_eq$','x$'),'fun_app$h'('subformulas_mu$','phi$')),
file('/export/starexec/sandbox2/tmp/tmp.wQsGm2GkH8/Vampire---4.8_13703',axiom70) ).
tff(f1763,plain,
( ! [X0: 'A_ltln_set$'] :
( ~ 'fun_app$a'('fun_app$g'('less_eq$','x$'),X0)
| ~ 'fun_app$a'('finite$',X0) )
| spl62_1 ),
inference(resolution,[],[f1743,f1115]) ).
tff(f1743,plain,
( ~ 'fun_app$a'('finite$','x$')
| spl62_1 ),
inference(avatar_component_clause,[],[f1741]) ).
tff(f1741,plain,
( spl62_1
<=> 'fun_app$a'('finite$','x$') ),
introduced(avatar_definition,[new_symbols(naming,[spl62_1])]) ).
tff(f1750,plain,
( ~ spl62_2
| ~ spl62_1 ),
inference(avatar_split_clause,[],[f1729,f1741,f1745]) ).
tff(f1729,plain,
( ~ 'fun_app$a'('finite$','x$')
| ~ 'fun_app$a'('finite$','y$') ),
inference(resolution,[],[f991,f1116]) ).
tff(f1116,plain,
! [X0: 'A_ltln_set$',X1: 'A_ltln_set$'] :
( 'fun_app$a'('finite$','fun_app$c'('fun_app$d'('sup$',X0),X1))
| ~ 'fun_app$a'('finite$',X0)
| ~ 'fun_app$a'('finite$',X1) ),
inference(cnf_transformation,[],[f874]) ).
tff(f874,plain,
! [X0: 'A_ltln_set$',X1: 'A_ltln_set$'] :
( ( ~ 'fun_app$a'('finite$','fun_app$c'('fun_app$d'('sup$',X0),X1))
| ( 'fun_app$a'('finite$',X1)
& 'fun_app$a'('finite$',X0) ) )
& ( ~ 'fun_app$a'('finite$',X1)
| ~ 'fun_app$a'('finite$',X0)
| 'fun_app$a'('finite$','fun_app$c'('fun_app$d'('sup$',X0),X1)) ) ),
inference(flattening,[],[f873]) ).
tff(f873,plain,
! [X0: 'A_ltln_set$',X1: 'A_ltln_set$'] :
( ( ~ 'fun_app$a'('finite$','fun_app$c'('fun_app$d'('sup$',X0),X1))
| ( 'fun_app$a'('finite$',X1)
& 'fun_app$a'('finite$',X0) ) )
& ( ~ 'fun_app$a'('finite$',X1)
| ~ 'fun_app$a'('finite$',X0)
| 'fun_app$a'('finite$','fun_app$c'('fun_app$d'('sup$',X0),X1)) ) ),
inference(nnf_transformation,[],[f66]) ).
tff(f66,axiom,
! [X0: 'A_ltln_set$',X1: 'A_ltln_set$'] :
( ~ 'fun_app$a'('finite$','fun_app$c'('fun_app$d'('sup$',X0),X1))
<=> ( ~ 'fun_app$a'('finite$',X1)
| ~ 'fun_app$a'('finite$',X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.wQsGm2GkH8/Vampire---4.8_13703',axiom64) ).
tff(f991,plain,
~ 'fun_app$a'('finite$','fun_app$c'('fun_app$d'('sup$','x$'),'y$')),
inference(cnf_transformation,[],[f642]) ).
tff(f642,plain,
~ 'fun_app$a'('finite$','fun_app$c'('fun_app$d'('sup$','x$'),'y$')),
inference(flattening,[],[f4]) ).
tff(f4,negated_conjecture,
~ 'fun_app$a'('finite$','fun_app$c'('fun_app$d'('sup$','x$'),'y$')),
inference(negated_conjecture,[],[f3]) ).
tff(f3,conjecture,
'fun_app$a'('finite$','fun_app$c'('fun_app$d'('sup$','x$'),'y$')),
file('/export/starexec/sandbox2/tmp/tmp.wQsGm2GkH8/Vampire---4.8_13703',conjecture2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : ITP367_1 : TPTP v8.1.2. Released v8.0.0.
% 0.09/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.35 % Computer : n002.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8042.1875MB
% 0.11/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Fri May 3 19:01:53 EDT 2024
% 0.11/0.35 % CPUTime :
% 0.11/0.35 This is a TF0_THM_EQU_NAR problem
% 0.11/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.wQsGm2GkH8/Vampire---4.8_13703
% 0.68/0.89 % (13817)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 Vampire---4 for (2994ds/34Mi)
% 0.68/0.89 % (13819)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.68/0.89 % (13818)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 Vampire---4 for (2994ds/51Mi)
% 0.68/0.89 % (13820)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.68/0.89 % (13821)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 Vampire---4 for (2994ds/34Mi)
% 0.68/0.89 % (13822)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.68/0.89 % (13823)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 Vampire---4 for (2994ds/83Mi)
% 0.68/0.89 % (13824)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2994ds/56Mi)
% 0.68/0.91 % (13817)Instruction limit reached!
% 0.68/0.91 % (13817)------------------------------
% 0.68/0.91 % (13817)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.91 % (13817)Termination reason: Unknown
% 0.68/0.91 % (13817)Termination phase: Saturation
% 0.68/0.91
% 0.68/0.91 % (13817)Memory used [KB]: 1805
% 0.68/0.91 % (13817)Time elapsed: 0.017 s
% 0.68/0.91 % (13817)Instructions burned: 34 (million)
% 0.68/0.91 % (13817)------------------------------
% 0.68/0.91 % (13817)------------------------------
% 0.68/0.91 % (13821)Instruction limit reached!
% 0.68/0.91 % (13821)------------------------------
% 0.68/0.91 % (13821)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.91 % (13821)Termination reason: Unknown
% 0.68/0.91 % (13821)Termination phase: Property scanning
% 0.68/0.91
% 0.68/0.91 % (13821)Memory used [KB]: 2135
% 0.68/0.91 % (13821)Time elapsed: 0.017 s
% 0.68/0.91 % (13821)Instructions burned: 36 (million)
% 0.68/0.91 % (13821)------------------------------
% 0.68/0.91 % (13821)------------------------------
% 0.68/0.91 % (13820)Instruction limit reached!
% 0.68/0.91 % (13820)------------------------------
% 0.68/0.91 % (13820)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.91 % (13820)Termination reason: Unknown
% 0.68/0.91 % (13820)Termination phase: Saturation
% 0.68/0.91
% 0.68/0.91 % (13820)Memory used [KB]: 1842
% 0.68/0.91 % (13820)Time elapsed: 0.041 s
% 0.68/0.91 % (13820)Instructions burned: 34 (million)
% 0.68/0.91 % (13820)------------------------------
% 0.68/0.91 % (13820)------------------------------
% 0.68/0.91 % (13822)Refutation not found, incomplete strategy% (13822)------------------------------
% 0.68/0.91 % (13822)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.91 % (13822)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.91
% 0.68/0.91 % (13822)Memory used [KB]: 1900
% 0.68/0.91 % (13822)Time elapsed: 0.020 s
% 0.68/0.91 % (13822)Instructions burned: 40 (million)
% 0.68/0.91 % (13822)------------------------------
% 0.68/0.91 % (13822)------------------------------
% 0.68/0.91 % (13825)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 Vampire---4 for (2994ds/55Mi)
% 0.68/0.91 % (13826)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 Vampire---4 for (2994ds/50Mi)
% 0.68/0.92 % (13818)Instruction limit reached!
% 0.68/0.92 % (13818)------------------------------
% 0.68/0.92 % (13818)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.92 % (13818)Termination reason: Unknown
% 0.68/0.92 % (13818)Termination phase: Property scanning
% 0.68/0.92
% 0.68/0.92 % (13818)Memory used [KB]: 2148
% 0.68/0.92 % (13818)Time elapsed: 0.023 s
% 0.68/0.92 % (13818)Instructions burned: 52 (million)
% 0.68/0.92 % (13818)------------------------------
% 0.68/0.92 % (13818)------------------------------
% 0.68/0.92 % (13827)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/208Mi)
% 0.68/0.92 % (13824)First to succeed.
% 0.68/0.92 % (13828)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 Vampire---4 for (2994ds/52Mi)
% 0.68/0.92 % (13824)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13810"
% 0.68/0.92 % (13824)Refutation found. Thanks to Tanya!
% 0.68/0.92 % SZS status Theorem for Vampire---4
% 0.68/0.92 % SZS output start Proof for Vampire---4
% See solution above
% 0.68/0.92 % (13824)------------------------------
% 0.68/0.92 % (13824)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.92 % (13824)Termination reason: Refutation
% 0.68/0.92
% 0.68/0.92 % (13824)Memory used [KB]: 1902
% 0.68/0.92 % (13824)Time elapsed: 0.024 s
% 0.68/0.92 % (13824)Instructions burned: 49 (million)
% 0.68/0.92 % (13810)Success in time 0.546 s
% 0.68/0.92 % Vampire---4.8 exiting
%------------------------------------------------------------------------------