TSTP Solution File: SWW473^1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW473^1 : TPTP v8.2.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n013.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 Jun 24 18:32:50 EDT 2024
% Result : Theorem 0.25s 0.48s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 31 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 205 ( 40 equ; 0 cnn)
% Maximal formula atoms : 6 ( 6 avg)
% Number of connectives : 243 ( 24 ~; 14 |; 7 &; 192 @)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 22 ( 22 >; 0 *; 0 +; 0 <<)
% Number of symbols : 120 ( 117 usr; 4 con; 0-4 aty)
% Number of variables : 33 ( 0 ^ 33 !; 0 ?; 33 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
x_a: $tType ).
thf(type_def_7,type,
nat: $tType ).
thf(type_def_8,type,
pname: $tType ).
thf(func_def_0,type,
x_a: $tType ).
thf(func_def_1,type,
pname: $tType ).
thf(func_def_2,type,
nat: $tType ).
thf(func_def_3,type,
finite_card_a_o_o: ( ( ( x_a > $o ) > $o ) > $o ) > nat ).
thf(func_def_4,type,
finite221134632me_o_o: ( ( ( pname > $o ) > $o ) > $o ) > nat ).
thf(func_def_5,type,
finite_card_nat_o_o: ( ( ( nat > $o ) > $o ) > $o ) > nat ).
thf(func_def_6,type,
finite_card_a_o: ( ( x_a > $o ) > $o ) > nat ).
thf(func_def_7,type,
finite_card_pname_o: ( ( pname > $o ) > $o ) > nat ).
thf(func_def_8,type,
finite_card_nat_o: ( ( nat > $o ) > $o ) > nat ).
thf(func_def_9,type,
finite_card_a: ( x_a > $o ) > nat ).
thf(func_def_10,type,
finite_card_pname: ( pname > $o ) > nat ).
thf(func_def_11,type,
finite_card_nat: ( nat > $o ) > nat ).
thf(func_def_12,type,
finite1302365357_o_o_o: ( ( ( ( x_a > $o ) > $o ) > $o ) > $o ) > $o ).
thf(func_def_13,type,
finite1648353812_o_o_o: ( ( ( ( pname > $o ) > $o ) > $o ) > $o ) > $o ).
thf(func_def_14,type,
finite1237261006_o_o_o: ( ( ( ( nat > $o ) > $o ) > $o ) > $o ) > $o ).
thf(func_def_15,type,
finite_finite_a_o_o: ( ( ( x_a > $o ) > $o ) > $o ) > $o ).
thf(func_def_16,type,
finite1066544169me_o_o: ( ( ( pname > $o ) > $o ) > $o ) > $o ).
thf(func_def_17,type,
finite1676163439at_o_o: ( ( ( nat > $o ) > $o ) > $o ) > $o ).
thf(func_def_18,type,
finite_finite_a_o: ( ( x_a > $o ) > $o ) > $o ).
thf(func_def_19,type,
finite297249702name_o: ( ( pname > $o ) > $o ) > $o ).
thf(func_def_20,type,
finite_finite_nat_o: ( ( nat > $o ) > $o ) > $o ).
thf(func_def_21,type,
finite_finite_a: ( x_a > $o ) > $o ).
thf(func_def_22,type,
finite_finite_pname: ( pname > $o ) > $o ).
thf(func_def_23,type,
finite_finite_nat: ( nat > $o ) > $o ).
thf(func_def_24,type,
minus_minus_nat: nat > nat > nat ).
thf(func_def_25,type,
suc: nat > nat ).
thf(func_def_26,type,
ord_less_eq_a_o_o_o: ( ( ( x_a > $o ) > $o ) > $o ) > ( ( ( x_a > $o ) > $o ) > $o ) > $o ).
thf(func_def_27,type,
ord_le1828183645_o_o_o: ( ( ( pname > $o ) > $o ) > $o ) > ( ( ( pname > $o ) > $o ) > $o ) > $o ).
thf(func_def_28,type,
ord_le124054423_o_o_o: ( ( ( nat > $o ) > $o ) > $o ) > ( ( ( nat > $o ) > $o ) > $o ) > $o ).
thf(func_def_29,type,
ord_less_eq_a_o_o: ( ( x_a > $o ) > $o ) > ( ( x_a > $o ) > $o ) > $o ).
thf(func_def_30,type,
ord_le1205211808me_o_o: ( ( pname > $o ) > $o ) > ( ( pname > $o ) > $o ) > $o ).
thf(func_def_31,type,
ord_less_eq_nat_o_o: ( ( nat > $o ) > $o ) > ( ( nat > $o ) > $o ) > $o ).
thf(func_def_32,type,
ord_less_eq_a_o: ( x_a > $o ) > ( x_a > $o ) > $o ).
thf(func_def_33,type,
ord_less_eq_pname_o: ( pname > $o ) > ( pname > $o ) > $o ).
thf(func_def_34,type,
ord_less_eq_nat_o: ( nat > $o ) > ( nat > $o ) > $o ).
thf(func_def_35,type,
ord_less_eq_nat: nat > nat > $o ).
thf(func_def_36,type,
collect_a_o_o_o: ( ( ( ( x_a > $o ) > $o ) > $o ) > $o ) > ( ( ( x_a > $o ) > $o ) > $o ) > $o ).
thf(func_def_37,type,
collect_pname_o_o_o: ( ( ( ( pname > $o ) > $o ) > $o ) > $o ) > ( ( ( pname > $o ) > $o ) > $o ) > $o ).
thf(func_def_38,type,
collect_nat_o_o_o: ( ( ( ( nat > $o ) > $o ) > $o ) > $o ) > ( ( ( nat > $o ) > $o ) > $o ) > $o ).
thf(func_def_39,type,
collect_a_o_o: ( ( ( x_a > $o ) > $o ) > $o ) > ( ( x_a > $o ) > $o ) > $o ).
thf(func_def_40,type,
collect_pname_o_o: ( ( ( pname > $o ) > $o ) > $o ) > ( ( pname > $o ) > $o ) > $o ).
thf(func_def_41,type,
collect_nat_o_o: ( ( ( nat > $o ) > $o ) > $o ) > ( ( nat > $o ) > $o ) > $o ).
thf(func_def_42,type,
collect_a_o: ( ( x_a > $o ) > $o ) > ( x_a > $o ) > $o ).
thf(func_def_43,type,
collect_pname_o: ( ( pname > $o ) > $o ) > ( pname > $o ) > $o ).
thf(func_def_44,type,
collect_nat_o: ( ( nat > $o ) > $o ) > ( nat > $o ) > $o ).
thf(func_def_45,type,
collect_a: ( x_a > $o ) > x_a > $o ).
thf(func_def_46,type,
collect_pname: ( pname > $o ) > pname > $o ).
thf(func_def_47,type,
collect_nat: ( nat > $o ) > nat > $o ).
thf(func_def_48,type,
image_a_o_o_a: ( ( ( x_a > $o ) > $o ) > x_a ) > ( ( ( x_a > $o ) > $o ) > $o ) > x_a > $o ).
thf(func_def_49,type,
image_a_o_o_pname: ( ( ( x_a > $o ) > $o ) > pname ) > ( ( ( x_a > $o ) > $o ) > $o ) > pname > $o ).
thf(func_def_50,type,
image_a_o_o_nat: ( ( ( x_a > $o ) > $o ) > nat ) > ( ( ( x_a > $o ) > $o ) > $o ) > nat > $o ).
thf(func_def_51,type,
image_pname_o_o_a: ( ( ( pname > $o ) > $o ) > x_a ) > ( ( ( pname > $o ) > $o ) > $o ) > x_a > $o ).
thf(func_def_52,type,
image_471733107_pname: ( ( ( pname > $o ) > $o ) > pname ) > ( ( ( pname > $o ) > $o ) > $o ) > pname > $o ).
thf(func_def_53,type,
image_pname_o_o_nat: ( ( ( pname > $o ) > $o ) > nat ) > ( ( ( pname > $o ) > $o ) > $o ) > nat > $o ).
thf(func_def_54,type,
image_nat_o_o_a: ( ( ( nat > $o ) > $o ) > x_a ) > ( ( ( nat > $o ) > $o ) > $o ) > x_a > $o ).
thf(func_def_55,type,
image_nat_o_o_pname: ( ( ( nat > $o ) > $o ) > pname ) > ( ( ( nat > $o ) > $o ) > $o ) > pname > $o ).
thf(func_def_56,type,
image_nat_o_o_nat: ( ( ( nat > $o ) > $o ) > nat ) > ( ( ( nat > $o ) > $o ) > $o ) > nat > $o ).
thf(func_def_57,type,
image_a_o_a: ( ( x_a > $o ) > x_a ) > ( ( x_a > $o ) > $o ) > x_a > $o ).
thf(func_def_58,type,
image_a_o_pname: ( ( x_a > $o ) > pname ) > ( ( x_a > $o ) > $o ) > pname > $o ).
thf(func_def_59,type,
image_a_o_nat: ( ( x_a > $o ) > nat ) > ( ( x_a > $o ) > $o ) > nat > $o ).
thf(func_def_60,type,
image_pname_o_a: ( ( pname > $o ) > x_a ) > ( ( pname > $o ) > $o ) > x_a > $o ).
thf(func_def_61,type,
image_pname_o_pname: ( ( pname > $o ) > pname ) > ( ( pname > $o ) > $o ) > pname > $o ).
thf(func_def_62,type,
image_pname_o_nat: ( ( pname > $o ) > nat ) > ( ( pname > $o ) > $o ) > nat > $o ).
thf(func_def_63,type,
image_nat_o_a: ( ( nat > $o ) > x_a ) > ( ( nat > $o ) > $o ) > x_a > $o ).
thf(func_def_64,type,
image_nat_o_pname: ( ( nat > $o ) > pname ) > ( ( nat > $o ) > $o ) > pname > $o ).
thf(func_def_65,type,
image_nat_o_nat: ( ( nat > $o ) > nat ) > ( ( nat > $o ) > $o ) > nat > $o ).
thf(func_def_66,type,
image_a_a: ( x_a > x_a ) > ( x_a > $o ) > x_a > $o ).
thf(func_def_67,type,
image_a_pname: ( x_a > pname ) > ( x_a > $o ) > pname > $o ).
thf(func_def_68,type,
image_a_nat: ( x_a > nat ) > ( x_a > $o ) > nat > $o ).
thf(func_def_69,type,
image_pname_a_o_o: ( pname > ( x_a > $o ) > $o ) > ( pname > $o ) > ( ( x_a > $o ) > $o ) > $o ).
thf(func_def_70,type,
image_504089495me_o_o: ( pname > ( pname > $o ) > $o ) > ( pname > $o ) > ( ( pname > $o ) > $o ) > $o ).
thf(func_def_71,type,
image_pname_nat_o_o: ( pname > ( nat > $o ) > $o ) > ( pname > $o ) > ( ( nat > $o ) > $o ) > $o ).
thf(func_def_72,type,
image_pname_a_o: ( pname > x_a > $o ) > ( pname > $o ) > ( x_a > $o ) > $o ).
thf(func_def_73,type,
image_pname_pname_o: ( pname > pname > $o ) > ( pname > $o ) > ( pname > $o ) > $o ).
thf(func_def_74,type,
image_pname_nat_o: ( pname > nat > $o ) > ( pname > $o ) > ( nat > $o ) > $o ).
thf(func_def_75,type,
image_pname_a: ( pname > x_a ) > ( pname > $o ) > x_a > $o ).
thf(func_def_76,type,
image_pname_pname: ( pname > pname ) > ( pname > $o ) > pname > $o ).
thf(func_def_77,type,
image_pname_nat: ( pname > nat ) > ( pname > $o ) > nat > $o ).
thf(func_def_78,type,
image_nat_a_o_o: ( nat > ( x_a > $o ) > $o ) > ( nat > $o ) > ( ( x_a > $o ) > $o ) > $o ).
thf(func_def_79,type,
image_nat_pname_o_o: ( nat > ( pname > $o ) > $o ) > ( nat > $o ) > ( ( pname > $o ) > $o ) > $o ).
thf(func_def_80,type,
image_nat_nat_o_o: ( nat > ( nat > $o ) > $o ) > ( nat > $o ) > ( ( nat > $o ) > $o ) > $o ).
thf(func_def_81,type,
image_nat_a_o: ( nat > x_a > $o ) > ( nat > $o ) > ( x_a > $o ) > $o ).
thf(func_def_82,type,
image_nat_pname_o: ( nat > pname > $o ) > ( nat > $o ) > ( pname > $o ) > $o ).
thf(func_def_83,type,
image_nat_nat_o: ( nat > nat > $o ) > ( nat > $o ) > ( nat > $o ) > $o ).
thf(func_def_84,type,
image_nat_a: ( nat > x_a ) > ( nat > $o ) > x_a > $o ).
thf(func_def_85,type,
image_nat_pname: ( nat > pname ) > ( nat > $o ) > pname > $o ).
thf(func_def_86,type,
insert_a_o_o: ( ( x_a > $o ) > $o ) > ( ( ( x_a > $o ) > $o ) > $o ) > ( ( x_a > $o ) > $o ) > $o ).
thf(func_def_87,type,
insert_pname_o_o: ( ( pname > $o ) > $o ) > ( ( ( pname > $o ) > $o ) > $o ) > ( ( pname > $o ) > $o ) > $o ).
thf(func_def_88,type,
insert_nat_o_o: ( ( nat > $o ) > $o ) > ( ( ( nat > $o ) > $o ) > $o ) > ( ( nat > $o ) > $o ) > $o ).
thf(func_def_89,type,
insert_a_o: ( x_a > $o ) > ( ( x_a > $o ) > $o ) > ( x_a > $o ) > $o ).
thf(func_def_90,type,
insert_pname_o: ( pname > $o ) > ( ( pname > $o ) > $o ) > ( pname > $o ) > $o ).
thf(func_def_91,type,
insert_nat_o: ( nat > $o ) > ( ( nat > $o ) > $o ) > ( nat > $o ) > $o ).
thf(func_def_92,type,
insert_a: x_a > ( x_a > $o ) > x_a > $o ).
thf(func_def_93,type,
insert_pname: pname > ( pname > $o ) > pname > $o ).
thf(func_def_94,type,
insert_nat: nat > ( nat > $o ) > nat > $o ).
thf(func_def_95,type,
member_a_o: ( x_a > $o ) > ( ( x_a > $o ) > $o ) > $o ).
thf(func_def_96,type,
member_pname_o: ( pname > $o ) > ( ( pname > $o ) > $o ) > $o ).
thf(func_def_97,type,
member_nat_o: ( nat > $o ) > ( ( nat > $o ) > $o ) > $o ).
thf(func_def_98,type,
member_a: x_a > ( x_a > $o ) > $o ).
thf(func_def_99,type,
member_pname: pname > ( pname > $o ) > $o ).
thf(func_def_100,type,
member_nat: nat > ( nat > $o ) > $o ).
thf(func_def_101,type,
g: x_a > $o ).
thf(func_def_102,type,
p: ( x_a > $o ) > ( x_a > $o ) > $o ).
thf(func_def_103,type,
u: pname > $o ).
thf(func_def_104,type,
mgt_call: pname > x_a ).
thf(func_def_105,type,
na: nat ).
thf(func_def_106,type,
pn: pname ).
thf(func_def_117,type,
sK0: ( x_a > $o ) > ( pname > x_a ) > ( pname > $o ) > pname > $o ).
thf(func_def_118,type,
sK1: ( pname > $o ) > ( pname > $o ) > pname ).
thf(func_def_119,type,
sK2: ( nat > x_a > $o ) > nat ).
thf(func_def_120,type,
sK3: ( pname > x_a ) > ( pname > $o ) > ( x_a > $o ) > pname ).
thf(func_def_121,type,
sK4: ( nat > $o ) > nat ).
thf(func_def_122,type,
sK5: ( pname > $o ) > ( pname > x_a ) > ( x_a > $o ) > pname > $o ).
thf(func_def_123,type,
sK6: ( nat > nat ) > nat ).
thf(func_def_124,type,
sK7: ( pname > $o ) > ( pname > x_a ) > x_a > pname ).
thf(func_def_125,type,
sK8: nat > nat ).
thf(func_def_126,type,
sK9: ( x_a > $o ) > ( x_a > $o ) > x_a ).
thf(func_def_127,type,
sK10: ( nat > pname > $o ) > nat ).
thf(func_def_128,type,
sK11: ( pname > $o ) > x_a > ( pname > x_a ) > pname ).
thf(func_def_130,type,
ph13:
!>[X0: $tType] : X0 ).
thf(f1374,plain,
$false,
inference(subsumption_resolution,[],[f1373,f1222]) ).
thf(f1222,plain,
( ( member_pname @ pn @ u )
= $true ),
inference(cnf_transformation,[],[f383]) ).
thf(f383,plain,
( ( member_pname @ pn @ u )
= $true ),
inference(fool_elimination,[],[f382]) ).
thf(f382,plain,
member_pname @ pn @ u,
inference(rectify,[],[f305]) ).
thf(f305,axiom,
member_pname @ pn @ u,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_4) ).
thf(f1373,plain,
( ( member_pname @ pn @ u )
!= $true ),
inference(trivial_inequality_removal,[],[f1367]) ).
thf(f1367,plain,
( ( $true != $true )
| ( ( member_pname @ pn @ u )
!= $true ) ),
inference(superposition,[],[f1362,f1155]) ).
thf(f1155,plain,
! [X2: pname > x_a,X0: pname,X1: pname > $o] :
( ( ( member_a @ ( X2 @ X0 ) @ ( image_pname_a @ X2 @ X1 ) )
= $true )
| ( ( member_pname @ X0 @ X1 )
!= $true ) ),
inference(cnf_transformation,[],[f951]) ).
thf(f951,plain,
! [X0: pname,X1: pname > $o,X2: pname > x_a] :
( ( ( member_a @ ( X2 @ X0 ) @ ( image_pname_a @ X2 @ X1 ) )
= $true )
| ( ( member_pname @ X0 @ X1 )
!= $true ) ),
inference(ennf_transformation,[],[f795]) ).
thf(f795,plain,
! [X0: pname,X1: pname > $o,X2: pname > x_a] :
( ( ( member_pname @ X0 @ X1 )
= $true )
=> ( ( member_a @ ( X2 @ X0 ) @ ( image_pname_a @ X2 @ X1 ) )
= $true ) ),
inference(fool_elimination,[],[f794]) ).
thf(f794,plain,
! [X0: pname,X1: pname > $o,X2: pname > x_a] :
( ( member_pname @ X0 @ X1 )
=> ( member_a @ ( X2 @ X0 ) @ ( image_pname_a @ X2 @ X1 ) ) ),
inference(rectify,[],[f262]) ).
thf(f262,axiom,
! [X125: pname,X126: pname > $o,X124: pname > x_a] :
( ( member_pname @ X125 @ X126 )
=> ( member_a @ ( X124 @ X125 ) @ ( image_pname_a @ X124 @ X126 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_261_imageI) ).
thf(f1362,plain,
( ( member_a @ ( mgt_call @ pn ) @ ( image_pname_a @ mgt_call @ u ) )
!= $true ),
inference(subsumption_resolution,[],[f1360,f1184]) ).
thf(f1184,plain,
( ( ord_less_eq_a_o @ g @ ( image_pname_a @ mgt_call @ u ) )
= $true ),
inference(cnf_transformation,[],[f479]) ).
thf(f479,plain,
( ( ord_less_eq_a_o @ g @ ( image_pname_a @ mgt_call @ u ) )
= $true ),
inference(fool_elimination,[],[f478]) ).
thf(f478,plain,
ord_less_eq_a_o @ g @ ( image_pname_a @ mgt_call @ u ),
inference(rectify,[],[f302]) ).
thf(f302,axiom,
ord_less_eq_a_o @ g @ ( image_pname_a @ mgt_call @ u ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
thf(f1360,plain,
( ( ( ord_less_eq_a_o @ g @ ( image_pname_a @ mgt_call @ u ) )
!= $true )
| ( ( member_a @ ( mgt_call @ pn ) @ ( image_pname_a @ mgt_call @ u ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f1359]) ).
thf(f1359,plain,
( ( ( ord_less_eq_a_o @ g @ ( image_pname_a @ mgt_call @ u ) )
!= $true )
| ( ( member_a @ ( mgt_call @ pn ) @ ( image_pname_a @ mgt_call @ u ) )
!= $true )
| ( $true != $true ) ),
inference(superposition,[],[f1163,f1202]) ).
thf(f1202,plain,
! [X2: x_a > $o,X0: x_a > $o,X1: x_a] :
( ( ( ord_less_eq_a_o @ ( insert_a @ X1 @ X0 ) @ X2 )
= $true )
| ( ( ord_less_eq_a_o @ X0 @ X2 )
!= $true )
| ( ( member_a @ X1 @ X2 )
!= $true ) ),
inference(cnf_transformation,[],[f1068]) ).
thf(f1068,plain,
! [X0: x_a > $o,X1: x_a,X2: x_a > $o] :
( ( ( ( ord_less_eq_a_o @ ( insert_a @ X1 @ X0 ) @ X2 )
= $true )
| ( ( ord_less_eq_a_o @ X0 @ X2 )
!= $true )
| ( ( member_a @ X1 @ X2 )
!= $true ) )
& ( ( ( ( ord_less_eq_a_o @ X0 @ X2 )
= $true )
& ( ( member_a @ X1 @ X2 )
= $true ) )
| ( ( ord_less_eq_a_o @ ( insert_a @ X1 @ X0 ) @ X2 )
!= $true ) ) ),
inference(flattening,[],[f1067]) ).
thf(f1067,plain,
! [X0: x_a > $o,X1: x_a,X2: x_a > $o] :
( ( ( ( ord_less_eq_a_o @ ( insert_a @ X1 @ X0 ) @ X2 )
= $true )
| ( ( ord_less_eq_a_o @ X0 @ X2 )
!= $true )
| ( ( member_a @ X1 @ X2 )
!= $true ) )
& ( ( ( ( ord_less_eq_a_o @ X0 @ X2 )
= $true )
& ( ( member_a @ X1 @ X2 )
= $true ) )
| ( ( ord_less_eq_a_o @ ( insert_a @ X1 @ X0 ) @ X2 )
!= $true ) ) ),
inference(nnf_transformation,[],[f523]) ).
thf(f523,plain,
! [X0: x_a > $o,X1: x_a,X2: x_a > $o] :
( ( ( ord_less_eq_a_o @ ( insert_a @ X1 @ X0 ) @ X2 )
= $true )
<=> ( ( ( ord_less_eq_a_o @ X0 @ X2 )
= $true )
& ( ( member_a @ X1 @ X2 )
= $true ) ) ),
inference(fool_elimination,[],[f522]) ).
thf(f522,plain,
! [X0: x_a > $o,X1: x_a,X2: x_a > $o] :
( ( ( ord_less_eq_a_o @ X0 @ X2 )
& ( member_a @ X1 @ X2 ) )
<=> ( ord_less_eq_a_o @ ( insert_a @ X1 @ X0 ) @ X2 ) ),
inference(rectify,[],[f275]) ).
thf(f275,axiom,
! [X136: x_a > $o,X135: x_a,X137: x_a > $o] :
( ( ( ord_less_eq_a_o @ X136 @ X137 )
& ( member_a @ X135 @ X137 ) )
<=> ( ord_less_eq_a_o @ ( insert_a @ X135 @ X136 ) @ X137 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_274_insert__subset) ).
thf(f1163,plain,
( ( ord_less_eq_a_o @ ( insert_a @ ( mgt_call @ pn ) @ g ) @ ( image_pname_a @ mgt_call @ u ) )
!= $true ),
inference(cnf_transformation,[],[f885]) ).
thf(f885,plain,
( ( ord_less_eq_a_o @ ( insert_a @ ( mgt_call @ pn ) @ g ) @ ( image_pname_a @ mgt_call @ u ) )
!= $true ),
inference(flattening,[],[f883]) ).
thf(f883,plain,
( ( ord_less_eq_a_o @ ( insert_a @ ( mgt_call @ pn ) @ g ) @ ( image_pname_a @ mgt_call @ u ) )
!= $true ),
inference(fool_elimination,[],[f882]) ).
thf(f882,plain,
~ ( ord_less_eq_a_o @ ( insert_a @ ( mgt_call @ pn ) @ g ) @ ( image_pname_a @ mgt_call @ u ) ),
inference(rectify,[],[f308]) ).
thf(f308,negated_conjecture,
~ ( ord_less_eq_a_o @ ( insert_a @ ( mgt_call @ pn ) @ g ) @ ( image_pname_a @ mgt_call @ u ) ),
inference(negated_conjecture,[],[f307]) ).
thf(f307,conjecture,
ord_less_eq_a_o @ ( insert_a @ ( mgt_call @ pn ) @ g ) @ ( image_pname_a @ mgt_call @ u ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_6) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : SWW473^1 : TPTP v8.2.0. Released v5.3.0.
% 0.12/0.14 % Command : run_vampire %s %d THM
% 0.13/0.37 % Computer : n013.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8042.1875MB
% 0.13/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Wed Jun 19 07:44:54 EDT 2024
% 0.13/0.37 % CPUTime :
% 0.13/0.39 This is a TH0_CAX_EQU_NAR problem
% 0.13/0.39 Running higher-order theorem proving
% 0.13/0.39 Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/benchmark/theBenchmark.p -m 16384 -t 300
% 0.25/0.42 % (22022)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.25/0.42 % (22024)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.25/0.42 % (22023)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.25/0.42 % (22021)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.25/0.42 % (22025)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.25/0.42 % (22026)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.25/0.42 % (22027)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.25/0.43 % (22024)Instruction limit reached!
% 0.25/0.43 % (22024)------------------------------
% 0.25/0.43 % (22024)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.25/0.43 % (22024)Termination reason: Unknown
% 0.25/0.43 % (22024)Termination phase: shuffling
% 0.25/0.43
% 0.25/0.43 % (22024)Memory used [KB]: 1407
% 0.25/0.43 % (22024)Time elapsed: 0.003 s
% 0.25/0.43 % (22024)Instructions burned: 2 (million)
% 0.25/0.43 % (22024)------------------------------
% 0.25/0.43 % (22024)------------------------------
% 0.25/0.43 % (22025)Instruction limit reached!
% 0.25/0.43 % (22025)------------------------------
% 0.25/0.43 % (22025)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.25/0.43 % (22025)Termination reason: Unknown
% 0.25/0.43 % (22025)Termination phase: shuffling
% 0.25/0.43
% 0.25/0.43 % (22025)Memory used [KB]: 1535
% 0.25/0.43 % (22025)Time elapsed: 0.004 s
% 0.25/0.43 % (22025)Instructions burned: 3 (million)
% 0.25/0.43 % (22025)------------------------------
% 0.25/0.43 % (22025)------------------------------
% 0.25/0.43 % (22022)Instruction limit reached!
% 0.25/0.43 % (22022)------------------------------
% 0.25/0.43 % (22022)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.25/0.43 % (22022)Termination reason: Unknown
% 0.25/0.43 % (22022)Termination phase: shuffling
% 0.25/0.43
% 0.25/0.43 % (22022)Memory used [KB]: 1663
% 0.25/0.43 % (22022)Time elapsed: 0.005 s
% 0.25/0.43 % (22022)Instructions burned: 5 (million)
% 0.25/0.43 % (22022)------------------------------
% 0.25/0.43 % (22022)------------------------------
% 0.25/0.43 % (22027)Instruction limit reached!
% 0.25/0.43 % (22027)------------------------------
% 0.25/0.43 % (22027)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.25/0.43 % (22027)Termination reason: Unknown
% 0.25/0.43 % (22027)Termination phase: shuffling
% 0.25/0.43
% 0.25/0.43 % (22027)Memory used [KB]: 1918
% 0.25/0.43 % (22027)Time elapsed: 0.012 s
% 0.25/0.43 % (22027)Instructions burned: 18 (million)
% 0.25/0.43 % (22027)------------------------------
% 0.25/0.43 % (22027)------------------------------
% 0.25/0.44 % (22023)Instruction limit reached!
% 0.25/0.44 % (22023)------------------------------
% 0.25/0.44 % (22023)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.25/0.44 % (22023)Termination reason: Unknown
% 0.25/0.44 % (22023)Termination phase: Property scanning
% 0.25/0.44
% 0.25/0.44 % (22023)Memory used [KB]: 1918
% 0.25/0.44 % (22023)Time elapsed: 0.017 s
% 0.25/0.44 % (22023)Instructions burned: 27 (million)
% 0.25/0.44 % (22023)------------------------------
% 0.25/0.44 % (22023)------------------------------
% 0.25/0.44 % (22028)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.25/0.44 % (22029)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.25/0.44 % (22030)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.25/0.44 % (22028)Instruction limit reached!
% 0.25/0.44 % (22028)------------------------------
% 0.25/0.44 % (22028)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.25/0.44 % (22028)Termination reason: Unknown
% 0.25/0.44 % (22028)Termination phase: shuffling
% 0.25/0.44
% 0.25/0.44 % (22028)Memory used [KB]: 1535
% 0.25/0.44 % (22028)Time elapsed: 0.004 s
% 0.25/0.44 % (22028)Instructions burned: 4 (million)
% 0.25/0.44 % (22028)------------------------------
% 0.25/0.44 % (22028)------------------------------
% 0.25/0.45 % (22031)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.25/0.45 % (22030)Instruction limit reached!
% 0.25/0.45 % (22030)------------------------------
% 0.25/0.45 % (22030)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.25/0.45 % (22030)Termination reason: Unknown
% 0.25/0.45 % (22030)Termination phase: shuffling
% 0.25/0.45
% 0.25/0.45 % (22030)Memory used [KB]: 1791
% 0.25/0.45 % (22030)Time elapsed: 0.010 s
% 0.25/0.45 % (22030)Instructions burned: 15 (million)
% 0.25/0.45 % (22030)------------------------------
% 0.25/0.45 % (22030)------------------------------
% 0.25/0.45 % (22031)Instruction limit reached!
% 0.25/0.45 % (22031)------------------------------
% 0.25/0.45 % (22031)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.25/0.45 % (22031)Termination reason: Unknown
% 0.25/0.45 % (22031)Termination phase: shuffling
% 0.25/0.45
% 0.25/0.45 % (22031)Memory used [KB]: 1535
% 0.25/0.45 % (22031)Time elapsed: 0.004 s
% 0.25/0.45 % (22031)Instructions burned: 4 (million)
% 0.25/0.45 % (22031)------------------------------
% 0.25/0.45 % (22031)------------------------------
% 0.25/0.46 % (22032)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.25/0.46 % (22033)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.25/0.46 % (22029)Instruction limit reached!
% 0.25/0.46 % (22029)------------------------------
% 0.25/0.46 % (22029)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.25/0.46 % (22029)Termination reason: Unknown
% 0.25/0.46 % (22029)Termination phase: shuffling
% 0.25/0.46
% 0.25/0.46 % (22029)Memory used [KB]: 2430
% 0.25/0.46 % (22029)Time elapsed: 0.020 s
% 0.25/0.46 % (22029)Instructions burned: 37 (million)
% 0.25/0.46 % (22029)------------------------------
% 0.25/0.46 % (22029)------------------------------
% 0.25/0.46 % (22033)Instruction limit reached!
% 0.25/0.46 % (22033)------------------------------
% 0.25/0.46 % (22033)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.25/0.46 % (22033)Termination reason: Unknown
% 0.25/0.46 % (22033)Termination phase: shuffling
% 0.25/0.46
% 0.25/0.46 % (22033)Memory used [KB]: 1663
% 0.25/0.46 % (22033)Time elapsed: 0.006 s
% 0.25/0.46 % (22033)Instructions burned: 7 (million)
% 0.25/0.46 % (22033)------------------------------
% 0.25/0.46 % (22033)------------------------------
% 0.25/0.47 % (22034)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.25/0.47 % (22035)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.25/0.47 % (22035)Instruction limit reached!
% 0.25/0.47 % (22035)------------------------------
% 0.25/0.47 % (22035)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.25/0.47 % (22035)Termination reason: Unknown
% 0.25/0.47 % (22035)Termination phase: shuffling
% 0.25/0.47
% 0.25/0.47 % (22035)Memory used [KB]: 1535
% 0.25/0.47 % (22035)Time elapsed: 0.004 s
% 0.25/0.47 % (22035)Instructions burned: 4 (million)
% 0.25/0.47 % (22035)------------------------------
% 0.25/0.47 % (22035)------------------------------
% 0.25/0.48 % (22026)First to succeed.
% 0.25/0.48 % (22034)Instruction limit reached!
% 0.25/0.48 % (22034)------------------------------
% 0.25/0.48 % (22034)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.25/0.48 % (22034)Termination reason: Unknown
% 0.25/0.48 % (22034)Termination phase: shuffling
% 0.25/0.48
% 0.25/0.48 % (22034)Memory used [KB]: 1791
% 0.25/0.48 % (22034)Time elapsed: 0.011 s
% 0.25/0.48 % (22034)Instructions burned: 16 (million)
% 0.25/0.48 % (22034)------------------------------
% 0.25/0.48 % (22034)------------------------------
% 0.25/0.48 % (22036)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.25/0.48 % (22026)Refutation found. Thanks to Tanya!
% 0.25/0.48 % SZS status Theorem for theBenchmark
% 0.25/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.48 % (22026)------------------------------
% 0.25/0.48 % (22026)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.25/0.48 % (22026)Termination reason: Refutation
% 0.25/0.48
% 0.25/0.48 % (22026)Memory used [KB]: 6908
% 0.25/0.48 % (22026)Time elapsed: 0.053 s
% 0.25/0.48 % (22026)Instructions burned: 91 (million)
% 0.25/0.48 % (22026)------------------------------
% 0.25/0.48 % (22026)------------------------------
% 0.25/0.48 % (22020)Success in time 0.078 s
%------------------------------------------------------------------------------