TSTP Solution File: SWW473^1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWW473^1 : TPTP v8.2.0. Released v5.3.0.
% 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 : n010.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 : Tue May 21 07:00:13 EDT 2024
% Result : Theorem 0.25s 0.48s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 128
% Syntax : Number of formulae : 156 ( 10 unt; 123 typ; 0 def)
% Number of atoms : 225 ( 50 equ; 0 cnn)
% Maximal formula atoms : 6 ( 6 avg)
% Number of connectives : 270 ( 29 ~; 19 |; 7 &; 206 @)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 649 ( 649 >; 0 *; 0 +; 0 <<)
% Number of symbols : 120 ( 117 usr; 4 con; 0-4 aty)
% Number of variables : 46 ( 0 ^ 45 !; 0 ?; 46 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% 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: ( nat > pname > $o ) > nat ).
thf(func_def_118,type,
sK1: ( pname > x_a ) > x_a > ( pname > $o ) > pname ).
thf(func_def_119,type,
sK2: ( nat > $o ) > nat ).
thf(func_def_120,type,
sK3: ( nat > nat ) > nat ).
thf(func_def_121,type,
sK4: ( pname > x_a ) > ( pname > $o ) > ( x_a > $o ) > pname > $o ).
thf(func_def_122,type,
sK5: ( pname > x_a ) > ( pname > $o ) > x_a > pname ).
thf(func_def_123,type,
sK6: ( x_a > $o ) > ( pname > x_a ) > ( pname > $o ) > pname > $o ).
thf(func_def_124,type,
sK7: ( pname > $o ) > ( pname > $o ) > pname ).
thf(func_def_125,type,
sK8: ( pname > x_a ) > ( pname > $o ) > ( x_a > $o ) > pname ).
thf(func_def_126,type,
sK9: ( nat > x_a > $o ) > nat ).
thf(func_def_127,type,
sK10: ( x_a > $o ) > ( x_a > $o ) > x_a ).
thf(func_def_128,type,
sK11: nat > nat ).
thf(func_def_130,type,
ph13:
!>[X0: $tType] : X0 ).
thf(f1385,plain,
$false,
inference(subsumption_resolution,[],[f1384,f1110]) ).
thf(f1110,plain,
( ( member_pname @ pn @ u )
= $true ),
inference(cnf_transformation,[],[f709]) ).
thf(f709,plain,
( ( member_pname @ pn @ u )
= $true ),
inference(fool_elimination,[],[f708]) ).
thf(f708,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(f1384,plain,
( ( member_pname @ pn @ u )
!= $true ),
inference(trivial_inequality_removal,[],[f1378]) ).
thf(f1378,plain,
( ( $true != $true )
| ( ( member_pname @ pn @ u )
!= $true ) ),
inference(superposition,[],[f1373,f1251]) ).
thf(f1251,plain,
! [X3: pname,X0: pname > $o,X1: pname > x_a] :
( ( ( member_a @ ( X1 @ X3 ) @ ( image_pname_a @ X1 @ X0 ) )
= $true )
| ( ( member_pname @ X3 @ X0 )
!= $true ) ),
inference(equality_resolution,[],[f1164]) ).
thf(f1164,plain,
! [X2: x_a,X3: pname,X0: pname > $o,X1: pname > x_a] :
( ( ( member_a @ X2 @ ( image_pname_a @ X1 @ X0 ) )
= $true )
| ( ( member_pname @ X3 @ X0 )
!= $true )
| ( ( X1 @ X3 )
!= X2 ) ),
inference(cnf_transformation,[],[f1013]) ).
thf(f1013,plain,
! [X0: pname > $o,X1: pname > x_a,X2: x_a,X3: pname] :
( ( ( member_a @ X2 @ ( image_pname_a @ X1 @ X0 ) )
= $true )
| ( ( member_pname @ X3 @ X0 )
!= $true )
| ( ( X1 @ X3 )
!= X2 ) ),
inference(flattening,[],[f1012]) ).
thf(f1012,plain,
! [X0: pname > $o,X1: pname > x_a,X2: x_a,X3: pname] :
( ( ( member_a @ X2 @ ( image_pname_a @ X1 @ X0 ) )
= $true )
| ( ( member_pname @ X3 @ X0 )
!= $true )
| ( ( X1 @ X3 )
!= X2 ) ),
inference(ennf_transformation,[],[f413]) ).
thf(f413,plain,
! [X0: pname > $o,X1: pname > x_a,X2: x_a,X3: pname] :
( ( ( X1 @ X3 )
= X2 )
=> ( ( ( member_pname @ X3 @ X0 )
= $true )
=> ( ( member_a @ X2 @ ( image_pname_a @ X1 @ X0 ) )
= $true ) ) ),
inference(fool_elimination,[],[f412]) ).
thf(f412,plain,
! [X0: pname > $o,X1: pname > x_a,X2: x_a,X3: pname] :
( ( ( X1 @ X3 )
= X2 )
=> ( ( member_pname @ X3 @ X0 )
=> ( member_a @ X2 @ ( image_pname_a @ X1 @ X0 ) ) ) ),
inference(rectify,[],[f177]) ).
thf(f177,axiom,
! [X56: pname > $o,X58: pname > x_a,X57: x_a,X59: pname] :
( ( ( X58 @ X59 )
= X57 )
=> ( ( member_pname @ X59 @ X56 )
=> ( member_a @ X57 @ ( image_pname_a @ X58 @ X56 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_176_image__eqI) ).
thf(f1373,plain,
( $true
!= ( member_a @ ( mgt_call @ pn ) @ ( image_pname_a @ mgt_call @ u ) ) ),
inference(subsumption_resolution,[],[f1372,f1113]) ).
thf(f1113,plain,
( ( ord_less_eq_a_o @ g @ ( image_pname_a @ mgt_call @ u ) )
= $true ),
inference(cnf_transformation,[],[f521]) ).
thf(f521,plain,
( ( ord_less_eq_a_o @ g @ ( image_pname_a @ mgt_call @ u ) )
= $true ),
inference(fool_elimination,[],[f520]) ).
thf(f520,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(f1372,plain,
( ( ( ord_less_eq_a_o @ g @ ( image_pname_a @ mgt_call @ u ) )
!= $true )
| ( $true
!= ( member_a @ ( mgt_call @ pn ) @ ( image_pname_a @ mgt_call @ u ) ) ) ),
inference(trivial_inequality_removal,[],[f1369]) ).
thf(f1369,plain,
( ( ( ord_less_eq_a_o @ g @ ( image_pname_a @ mgt_call @ u ) )
!= $true )
| ( $true
!= ( member_a @ ( mgt_call @ pn ) @ ( image_pname_a @ mgt_call @ u ) ) )
| ( $true != $true ) ),
inference(superposition,[],[f1231,f1114]) ).
thf(f1114,plain,
! [X2: x_a > $o,X0: x_a > $o,X1: x_a] :
( ( $true
= ( ord_less_eq_a_o @ ( insert_a @ X1 @ X2 ) @ X0 ) )
| ( $true
!= ( ord_less_eq_a_o @ X2 @ X0 ) )
| ( $true
!= ( member_a @ X1 @ X0 ) ) ),
inference(cnf_transformation,[],[f1036]) ).
thf(f1036,plain,
! [X0: x_a > $o,X1: x_a,X2: x_a > $o] :
( ( ( ( $true
= ( ord_less_eq_a_o @ X2 @ X0 ) )
& ( $true
= ( member_a @ X1 @ X0 ) ) )
| ( $true
!= ( ord_less_eq_a_o @ ( insert_a @ X1 @ X2 ) @ X0 ) ) )
& ( ( $true
= ( ord_less_eq_a_o @ ( insert_a @ X1 @ X2 ) @ X0 ) )
| ( $true
!= ( ord_less_eq_a_o @ X2 @ X0 ) )
| ( $true
!= ( member_a @ X1 @ X0 ) ) ) ),
inference(flattening,[],[f1035]) ).
thf(f1035,plain,
! [X0: x_a > $o,X1: x_a,X2: x_a > $o] :
( ( ( ( $true
= ( ord_less_eq_a_o @ X2 @ X0 ) )
& ( $true
= ( member_a @ X1 @ X0 ) ) )
| ( $true
!= ( ord_less_eq_a_o @ ( insert_a @ X1 @ X2 ) @ X0 ) ) )
& ( ( $true
= ( ord_less_eq_a_o @ ( insert_a @ X1 @ X2 ) @ X0 ) )
| ( $true
!= ( ord_less_eq_a_o @ X2 @ X0 ) )
| ( $true
!= ( member_a @ X1 @ X0 ) ) ) ),
inference(nnf_transformation,[],[f773]) ).
thf(f773,plain,
! [X0: x_a > $o,X1: x_a,X2: x_a > $o] :
( ( ( $true
= ( ord_less_eq_a_o @ X2 @ X0 ) )
& ( $true
= ( member_a @ X1 @ X0 ) ) )
<=> ( $true
= ( ord_less_eq_a_o @ ( insert_a @ X1 @ X2 ) @ X0 ) ) ),
inference(fool_elimination,[],[f772]) ).
thf(f772,plain,
! [X0: x_a > $o,X1: x_a,X2: x_a > $o] :
( ( ( member_a @ X1 @ X0 )
& ( ord_less_eq_a_o @ X2 @ X0 ) )
<=> ( ord_less_eq_a_o @ ( insert_a @ X1 @ X2 ) @ X0 ) ),
inference(rectify,[],[f275]) ).
thf(f275,axiom,
! [X137: x_a > $o,X135: x_a,X136: x_a > $o] :
( ( ( member_a @ X135 @ X137 )
& ( ord_less_eq_a_o @ X136 @ X137 ) )
<=> ( ord_less_eq_a_o @ ( insert_a @ X135 @ X136 ) @ X137 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_274_insert__subset) ).
thf(f1231,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,[],[f685]) ).
thf(f685,plain,
( ( ord_less_eq_a_o @ ( insert_a @ ( mgt_call @ pn ) @ g ) @ ( image_pname_a @ mgt_call @ u ) )
!= $true ),
inference(fool_elimination,[],[f684]) ).
thf(f684,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
% 0.08/0.13 % Problem : SWW473^1 : TPTP v8.2.0. Released v5.3.0.
% 0.08/0.15 % 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
% 0.16/0.39 % Computer : n010.cluster.edu
% 0.16/0.39 % Model : x86_64 x86_64
% 0.16/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.39 % Memory : 8042.1875MB
% 0.16/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.39 % CPULimit : 300
% 0.16/0.39 % WCLimit : 300
% 0.16/0.39 % DateTime : Sat May 18 20:17:38 EDT 2024
% 0.16/0.39 % CPUTime :
% 0.16/0.39 This is a TH0_CAX_EQU_NAR problem
% 0.16/0.39 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.25/0.43 % (24209)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.25/0.43 % (24210)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)
% 0.25/0.43 % (24212)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.25/0.43 % (24213)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)
% 0.25/0.43 % (24211)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)
% 0.25/0.43 % (24215)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 % (24214)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)
% 0.25/0.43 % (24212)Instruction limit reached!
% 0.25/0.43 % (24212)------------------------------
% 0.25/0.43 % (24212)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.43 % (24212)Termination reason: Unknown
% 0.25/0.43 % (24212)Termination phase: shuffling
% 0.25/0.43
% 0.25/0.43 % (24213)Instruction limit reached!
% 0.25/0.43 % (24213)------------------------------
% 0.25/0.43 % (24213)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.43 % (24213)Termination reason: Unknown
% 0.25/0.43 % (24213)Termination phase: shuffling
% 0.25/0.43
% 0.25/0.43 % (24213)Memory used [KB]: 1535
% 0.25/0.43 % (24213)Time elapsed: 0.003 s
% 0.25/0.43 % (24213)Instructions burned: 2 (million)
% 0.25/0.43 % (24213)------------------------------
% 0.25/0.43 % (24213)------------------------------
% 0.25/0.43 % (24212)Memory used [KB]: 1407
% 0.25/0.43 % (24212)Time elapsed: 0.003 s
% 0.25/0.43 % (24212)Instructions burned: 2 (million)
% 0.25/0.43 % (24212)------------------------------
% 0.25/0.43 % (24212)------------------------------
% 0.25/0.43 % (24216)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)
% 0.25/0.43 % (24210)Instruction limit reached!
% 0.25/0.43 % (24210)------------------------------
% 0.25/0.43 % (24210)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.43 % (24210)Termination reason: Unknown
% 0.25/0.43 % (24210)Termination phase: shuffling
% 0.25/0.43
% 0.25/0.43 % (24210)Memory used [KB]: 1663
% 0.25/0.43 % (24210)Time elapsed: 0.005 s
% 0.25/0.43 % (24210)Instructions burned: 5 (million)
% 0.25/0.43 % (24210)------------------------------
% 0.25/0.43 % (24210)------------------------------
% 0.25/0.43 % (24216)Instruction limit reached!
% 0.25/0.43 % (24216)------------------------------
% 0.25/0.43 % (24216)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.43 % (24216)Termination reason: Unknown
% 0.25/0.43 % (24216)Termination phase: shuffling
% 0.25/0.43
% 0.25/0.43 % (24216)Memory used [KB]: 1535
% 0.25/0.43 % (24216)Time elapsed: 0.004 s
% 0.25/0.43 % (24216)Instructions burned: 3 (million)
% 0.25/0.43 % (24216)------------------------------
% 0.25/0.43 % (24216)------------------------------
% 0.25/0.44 % (24215)Instruction limit reached!
% 0.25/0.44 % (24215)------------------------------
% 0.25/0.44 % (24215)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.44 % (24215)Termination reason: Unknown
% 0.25/0.44 % (24215)Termination phase: shuffling
% 0.25/0.44
% 0.25/0.44 % (24215)Memory used [KB]: 1791
% 0.25/0.44 % (24215)Time elapsed: 0.012 s
% 0.25/0.44 % (24215)Instructions burned: 18 (million)
% 0.25/0.44 % (24215)------------------------------
% 0.25/0.44 % (24215)------------------------------
% 0.25/0.44 % (24211)Instruction limit reached!
% 0.25/0.44 % (24211)------------------------------
% 0.25/0.44 % (24211)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.44 % (24218)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 % (24211)Termination reason: Unknown
% 0.25/0.44 % (24211)Termination phase: Property scanning
% 0.25/0.44
% 0.25/0.44 % (24217)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 % (24211)Memory used [KB]: 1918
% 0.25/0.44 % (24211)Time elapsed: 0.018 s
% 0.25/0.44 % (24211)Instructions burned: 28 (million)
% 0.25/0.44 % (24211)------------------------------
% 0.25/0.44 % (24211)------------------------------
% 0.25/0.44 % (24219)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)
% 0.25/0.44 % (24220)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)
% 0.25/0.45 % (24219)Instruction limit reached!
% 0.25/0.45 % (24219)------------------------------
% 0.25/0.45 % (24219)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.45 % (24219)Termination reason: Unknown
% 0.25/0.45 % (24219)Termination phase: shuffling
% 0.25/0.45
% 0.25/0.45 % (24219)Memory used [KB]: 1535
% 0.25/0.45 % (24219)Time elapsed: 0.004 s
% 0.25/0.45 % (24219)Instructions burned: 3 (million)
% 0.25/0.45 % (24219)------------------------------
% 0.25/0.45 % (24219)------------------------------
% 0.25/0.45 % (24218)Instruction limit reached!
% 0.25/0.45 % (24218)------------------------------
% 0.25/0.45 % (24218)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.45 % (24218)Termination reason: Unknown
% 0.25/0.45 % (24218)Termination phase: shuffling
% 0.25/0.45
% 0.25/0.45 % (24218)Memory used [KB]: 1791
% 0.25/0.45 % (24218)Time elapsed: 0.011 s
% 0.25/0.45 % (24218)Instructions burned: 16 (million)
% 0.25/0.45 % (24218)------------------------------
% 0.25/0.45 % (24218)------------------------------
% 0.25/0.45 % (24221)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.25/0.45 % (24221)Instruction limit reached!
% 0.25/0.45 % (24221)------------------------------
% 0.25/0.45 % (24221)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.45 % (24221)Termination reason: Unknown
% 0.25/0.45 % (24221)Termination phase: shuffling
% 0.25/0.45
% 0.25/0.45 % (24221)Memory used [KB]: 1663
% 0.25/0.46 % (24221)Time elapsed: 0.006 s
% 0.25/0.46 % (24221)Instructions burned: 7 (million)
% 0.25/0.46 % (24221)------------------------------
% 0.25/0.46 % (24221)------------------------------
% 0.25/0.46 % (24222)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.25/0.46 % (24223)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)
% 0.25/0.46 % (24217)Instruction limit reached!
% 0.25/0.46 % (24217)------------------------------
% 0.25/0.46 % (24217)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.46 % (24217)Termination reason: Unknown
% 0.25/0.46 % (24217)Termination phase: shuffling
% 0.25/0.46
% 0.25/0.46 % (24217)Memory used [KB]: 2302
% 0.25/0.46 % (24217)Time elapsed: 0.021 s
% 0.25/0.46 % (24217)Instructions burned: 37 (million)
% 0.25/0.46 % (24217)------------------------------
% 0.25/0.46 % (24217)------------------------------
% 0.25/0.46 % (24223)Instruction limit reached!
% 0.25/0.46 % (24223)------------------------------
% 0.25/0.46 % (24223)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.46 % (24223)Termination reason: Unknown
% 0.25/0.46 % (24223)Termination phase: shuffling
% 0.25/0.46
% 0.25/0.46 % (24223)Memory used [KB]: 1535
% 0.25/0.46 % (24223)Time elapsed: 0.004 s
% 0.25/0.46 % (24223)Instructions burned: 3 (million)
% 0.25/0.46 % (24223)------------------------------
% 0.25/0.46 % (24223)------------------------------
% 0.25/0.47 % (24222)Instruction limit reached!
% 0.25/0.47 % (24222)------------------------------
% 0.25/0.47 % (24222)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.47 % (24222)Termination reason: Unknown
% 0.25/0.47 % (24222)Termination phase: shuffling
% 0.25/0.47
% 0.25/0.47 % (24222)Memory used [KB]: 1791
% 0.25/0.47 % (24222)Time elapsed: 0.011 s
% 0.25/0.47 % (24222)Instructions burned: 16 (million)
% 0.25/0.47 % (24222)------------------------------
% 0.25/0.47 % (24222)------------------------------
% 0.25/0.47 % (24224)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)
% 0.25/0.47 % (24224)Instruction limit reached!
% 0.25/0.47 % (24224)------------------------------
% 0.25/0.47 % (24224)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.47 % (24224)Termination reason: Unknown
% 0.25/0.47 % (24224)Termination phase: shuffling
% 0.25/0.47
% 0.25/0.47 % (24224)Memory used [KB]: 1535
% 0.25/0.47 % (24224)Time elapsed: 0.004 s
% 0.25/0.47 % (24224)Instructions burned: 3 (million)
% 0.25/0.47 % (24224)------------------------------
% 0.25/0.47 % (24224)------------------------------
% 0.25/0.47 % (24225)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.25/0.47 % (24225)Instruction limit reached!
% 0.25/0.47 % (24225)------------------------------
% 0.25/0.47 % (24225)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.47 % (24225)Termination reason: Unknown
% 0.25/0.47 % (24225)Termination phase: shuffling
% 0.25/0.47
% 0.25/0.47 % (24225)Memory used [KB]: 1663
% 0.25/0.47 % (24225)Time elapsed: 0.006 s
% 0.25/0.47 % (24225)Instructions burned: 7 (million)
% 0.25/0.47 % (24225)------------------------------
% 0.25/0.47 % (24225)------------------------------
% 0.25/0.48 % (24226)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.25/0.48 % (24227)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.25/0.48 % (24226)Instruction limit reached!
% 0.25/0.48 % (24226)------------------------------
% 0.25/0.48 % (24226)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.48 % (24226)Termination reason: Unknown
% 0.25/0.48 % (24226)Termination phase: shuffling
% 0.25/0.48
% 0.25/0.48 % (24226)Memory used [KB]: 1535
% 0.25/0.48 % (24226)Time elapsed: 0.004 s
% 0.25/0.48 % (24226)Instructions burned: 4 (million)
% 0.25/0.48 % (24226)------------------------------
% 0.25/0.48 % (24226)------------------------------
% 0.25/0.48 % (24227)Instruction limit reached!
% 0.25/0.48 % (24227)------------------------------
% 0.25/0.48 % (24227)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.48 % (24227)Termination reason: Unknown
% 0.25/0.48 % (24227)Termination phase: shuffling
% 0.25/0.48
% 0.25/0.48 % (24227)Memory used [KB]: 1535
% 0.25/0.48 % (24227)Time elapsed: 0.004 s
% 0.25/0.48 % (24227)Instructions burned: 4 (million)
% 0.25/0.48 % (24227)------------------------------
% 0.25/0.48 % (24227)------------------------------
% 0.25/0.48 % (24228)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.25/0.48 % (24214)First to succeed.
% 0.25/0.48 % (24229)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.25/0.48 % (24214)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 % (24214)------------------------------
% 0.25/0.48 % (24214)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.48 % (24214)Termination reason: Refutation
% 0.25/0.48
% 0.25/0.48 % (24214)Memory used [KB]: 6908
% 0.25/0.48 % (24214)Time elapsed: 0.058 s
% 0.25/0.48 % (24214)Instructions burned: 96 (million)
% 0.25/0.48 % (24214)------------------------------
% 0.25/0.48 % (24214)------------------------------
% 0.25/0.48 % (24208)Success in time 0.092 s
% 0.25/0.49 % Vampire---4.8 exiting
%------------------------------------------------------------------------------