TSTP Solution File: GEO094-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO094-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n005.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 : Fri Sep 1 14:42:50 EDT 2023
% Result : Unsatisfiable 0.23s 0.54s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 76
% Syntax : Number of formulae : 279 ( 25 unt; 0 def)
% Number of atoms : 767 ( 78 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 864 ( 376 ~; 459 |; 0 &)
% ( 29 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 38 ( 36 usr; 30 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 4 con; 0-3 aty)
% Number of variables : 384 (; 384 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1559,plain,
$false,
inference(avatar_smt_refutation,[],[f57,f62,f67,f72,f78,f85,f90,f104,f112,f126,f132,f141,f147,f203,f318,f327,f332,f345,f355,f360,f361,f792,f806,f867,f1358,f1359,f1558]) ).
fof(f1558,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9
| spl0_18
| spl0_21 ),
inference(avatar_contradiction_clause,[],[f1557]) ).
fof(f1557,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9
| spl0_18
| spl0_21 ),
inference(subsumption_resolution,[],[f1556,f326]) ).
fof(f326,plain,
( ~ part_of(sk15,sk16)
| spl0_18 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f324,plain,
( spl0_18
<=> part_of(sk15,sk16) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f1556,plain,
( part_of(sk15,sk16)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9
| spl0_21 ),
inference(subsumption_resolution,[],[f1555,f354]) ).
fof(f354,plain,
( ~ part_of(sk16,sk15)
| spl0_21 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f352,plain,
( spl0_21
<=> part_of(sk16,sk15) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f1555,plain,
( part_of(sk16,sk15)
| part_of(sk15,sk16)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f1542,f61]) ).
fof(f61,plain,
( part_of(sk16,sk14)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f59,plain,
( spl0_2
<=> part_of(sk16,sk14) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f1542,plain,
( ~ part_of(sk16,sk14)
| part_of(sk16,sk15)
| part_of(sk15,sk16)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(resolution,[],[f1324,f111]) ).
fof(f111,plain,
( incident_c(sk17,sk16)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f109,plain,
( spl0_9
<=> incident_c(sk17,sk16) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f1324,plain,
( ! [X123] :
( ~ incident_c(sk17,X123)
| ~ part_of(X123,sk14)
| part_of(X123,sk15)
| part_of(sk15,X123) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f1311,f56]) ).
fof(f56,plain,
( part_of(sk15,sk14)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f54,plain,
( spl0_1
<=> part_of(sk15,sk14) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f1311,plain,
( ! [X123] :
( ~ part_of(sk15,sk14)
| ~ part_of(X123,sk14)
| ~ incident_c(sk17,X123)
| part_of(X123,sk15)
| part_of(sk15,X123) )
| ~ spl0_3
| ~ spl0_8 ),
inference(resolution,[],[f720,f103]) ).
fof(f103,plain,
( incident_c(sk17,sk15)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f101,plain,
( spl0_8
<=> incident_c(sk17,sk15) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f720,plain,
( ! [X16,X17] :
( ~ incident_c(sk17,X17)
| ~ part_of(X17,sk14)
| ~ part_of(X16,sk14)
| ~ incident_c(sk17,X16)
| part_of(X16,X17)
| part_of(X17,X16) )
| ~ spl0_3 ),
inference(resolution,[],[f14,f66]) ).
fof(f66,plain,
( end_point(sk17,sk14)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f64,plain,
( spl0_3
<=> end_point(sk17,sk14) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( ~ end_point(X0,X1)
| ~ part_of(X2,X1)
| ~ part_of(X3,X1)
| ~ incident_c(X0,X3)
| ~ incident_c(X0,X2)
| part_of(X2,X3)
| part_of(X3,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',end_point_defn_14) ).
fof(f1359,plain,
( ~ spl0_29
| spl0_17 ),
inference(avatar_split_clause,[],[f1348,f315,f1355]) ).
fof(f1355,plain,
( spl0_29
<=> sk15 = sk16 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f315,plain,
( spl0_17
<=> incident_c(ax0_sk8(sk15),sk16) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f1348,plain,
( sk15 != sk16
| spl0_17 ),
inference(resolution,[],[f1121,f317]) ).
fof(f317,plain,
( ~ incident_c(ax0_sk8(sk15),sk16)
| spl0_17 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f1121,plain,
! [X78,X79] :
( incident_c(ax0_sk8(X78),X79)
| X78 != X79 ),
inference(resolution,[],[f886,f91]) ).
fof(f91,plain,
! [X0] : incident_c(ax0_sk8(X0),X0),
inference(resolution,[],[f21,f37]) ).
fof(f37,axiom,
! [X0] : inner_point(ax0_sk8(X0),X0),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',c3_37) ).
fof(f21,axiom,
! [X0,X1] :
( ~ inner_point(X0,X1)
| incident_c(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',inner_point_defn_21) ).
fof(f886,plain,
! [X3,X4,X5] :
( ~ incident_c(X5,X3)
| incident_c(X5,X4)
| X3 != X4 ),
inference(superposition,[],[f5,f883]) ).
fof(f883,plain,
! [X3] : sum(X3,X3) = X3,
inference(subsumption_resolution,[],[f882,f7]) ).
fof(f7,axiom,
! [X2,X0,X1] :
( incident_c(ax0_sk2(X0,X1,X2),X2)
| incident_c(ax0_sk2(X0,X1,X2),X1)
| incident_c(ax0_sk2(X0,X1,X2),X0)
| sum(X1,X0) = X2 ),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',sum_defn_7) ).
fof(f882,plain,
! [X3] :
( sum(X3,X3) = X3
| ~ incident_c(ax0_sk2(X3,X3,X3),X3) ),
inference(duplicate_literal_removal,[],[f874]) ).
fof(f874,plain,
! [X3] :
( sum(X3,X3) = X3
| sum(X3,X3) = X3
| ~ incident_c(ax0_sk2(X3,X3,X3),X3) ),
inference(resolution,[],[f857,f12]) ).
fof(f12,axiom,
! [X2,X0,X1] :
( ~ incident_c(ax0_sk2(X0,X1,X2),X2)
| sum(X1,X0) = X2
| ~ incident_c(ax0_sk2(X0,X1,X2),X0) ),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',sum_defn_12) ).
fof(f857,plain,
! [X0,X1] :
( incident_c(ax0_sk2(X0,X1,X1),X0)
| sum(X1,X0) = X1 ),
inference(subsumption_resolution,[],[f848,f11]) ).
fof(f11,axiom,
! [X2,X0,X1] :
( ~ incident_c(ax0_sk2(X0,X1,X2),X2)
| sum(X1,X0) = X2
| ~ incident_c(ax0_sk2(X0,X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',sum_defn_11) ).
fof(f848,plain,
! [X0,X1] :
( incident_c(ax0_sk2(X0,X1,X1),X1)
| incident_c(ax0_sk2(X0,X1,X1),X0)
| sum(X1,X0) = X1 ),
inference(factoring,[],[f7]) ).
fof(f5,axiom,
! [X2,X3,X0,X1] :
( sum(X1,X2) != X0
| incident_c(X3,X0)
| ~ incident_c(X3,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',sum_defn_5) ).
fof(f1358,plain,
( ~ spl0_29
| spl0_20 ),
inference(avatar_split_clause,[],[f1347,f342,f1355]) ).
fof(f342,plain,
( spl0_20
<=> incident_c(ax0_sk8(sk16),sk15) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f1347,plain,
( sk15 != sk16
| spl0_20 ),
inference(resolution,[],[f1121,f344]) ).
fof(f344,plain,
( ~ incident_c(ax0_sk8(sk16),sk15)
| spl0_20 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f867,plain,
( spl0_27
| spl0_28
| ~ spl0_3
| ~ spl0_6
| spl0_25 ),
inference(avatar_split_clause,[],[f819,f799,f82,f64,f864,f860]) ).
fof(f860,plain,
( spl0_27
<=> sk17 = ax0_sk11(sk17,sk14) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f864,plain,
( spl0_28
<=> ax0_sk7(sk14) = ax0_sk11(sk17,sk14) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f82,plain,
( spl0_6
<=> open(sk14) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f799,plain,
( spl0_25
<=> sk17 = ax0_sk7(sk14) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f819,plain,
( ax0_sk7(sk14) = ax0_sk11(sk17,sk14)
| sk17 = ax0_sk11(sk17,sk14)
| ~ spl0_3
| ~ spl0_6
| spl0_25 ),
inference(resolution,[],[f814,f66]) ).
fof(f814,plain,
( ! [X0] :
( ~ end_point(X0,sk14)
| ax0_sk7(sk14) = ax0_sk11(X0,sk14)
| sk17 = ax0_sk11(X0,sk14) )
| ~ spl0_3
| ~ spl0_6
| spl0_25 ),
inference(resolution,[],[f811,f41]) ).
fof(f41,axiom,
! [X0,X1] :
( end_point(ax0_sk11(X0,X1),X1)
| ~ end_point(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',c6_41) ).
fof(f811,plain,
( ! [X1] :
( ~ end_point(X1,sk14)
| sk17 = X1
| ax0_sk7(sk14) = X1 )
| ~ spl0_3
| ~ spl0_6
| spl0_25 ),
inference(subsumption_resolution,[],[f784,f800]) ).
fof(f800,plain,
( sk17 != ax0_sk7(sk14)
| spl0_25 ),
inference(avatar_component_clause,[],[f799]) ).
fof(f784,plain,
( ! [X1] :
( ~ end_point(X1,sk14)
| sk17 = ax0_sk7(sk14)
| sk17 = X1
| ax0_sk7(sk14) = X1 )
| ~ spl0_3
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f779,f84]) ).
fof(f84,plain,
( open(sk14)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f779,plain,
( ! [X1] :
( ~ end_point(X1,sk14)
| sk17 = ax0_sk7(sk14)
| sk17 = X1
| ax0_sk7(sk14) = X1
| ~ open(sk14) )
| ~ spl0_3 ),
inference(resolution,[],[f575,f33]) ).
fof(f33,axiom,
! [X0] :
( end_point(ax0_sk7(X0),X0)
| ~ open(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',open_defn_33) ).
fof(f575,plain,
( ! [X16,X17] :
( ~ end_point(X17,sk14)
| ~ end_point(X16,sk14)
| sk17 = X17
| sk17 = X16
| X16 = X17 )
| ~ spl0_3 ),
inference(resolution,[],[f40,f66]) ).
fof(f40,axiom,
! [X2,X3,X0,X1] :
( ~ end_point(X3,X1)
| ~ end_point(X2,X1)
| ~ end_point(X0,X1)
| X0 = X3
| X2 = X3
| X0 = X2 ),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',c5_40) ).
fof(f806,plain,
( spl0_25
| spl0_26
| ~ spl0_6
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f797,f790,f82,f803,f799]) ).
fof(f803,plain,
( spl0_26
<=> ax0_sk6(sk14) = ax0_sk7(sk14) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f790,plain,
( spl0_24
<=> ! [X0] :
( ~ end_point(X0,sk14)
| ax0_sk6(sk14) = X0
| sk17 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f797,plain,
( ax0_sk6(sk14) = ax0_sk7(sk14)
| sk17 = ax0_sk7(sk14)
| ~ spl0_6
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f794,f84]) ).
fof(f794,plain,
( ax0_sk6(sk14) = ax0_sk7(sk14)
| sk17 = ax0_sk7(sk14)
| ~ open(sk14)
| ~ spl0_24 ),
inference(resolution,[],[f791,f33]) ).
fof(f791,plain,
( ! [X0] :
( ~ end_point(X0,sk14)
| ax0_sk6(sk14) = X0
| sk17 = X0 )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f790]) ).
fof(f792,plain,
( spl0_23
| spl0_24
| ~ spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f783,f75,f64,f790,f786]) ).
fof(f786,plain,
( spl0_23
<=> sk17 = ax0_sk6(sk14) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f75,plain,
( spl0_5
<=> closed(sk14) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f783,plain,
( ! [X0] :
( ~ end_point(X0,sk14)
| sk17 = ax0_sk6(sk14)
| sk17 = X0
| ax0_sk6(sk14) = X0 )
| ~ spl0_3
| spl0_5 ),
inference(subsumption_resolution,[],[f778,f77]) ).
fof(f77,plain,
( ~ closed(sk14)
| spl0_5 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f778,plain,
( ! [X0] :
( ~ end_point(X0,sk14)
| sk17 = ax0_sk6(sk14)
| sk17 = X0
| ax0_sk6(sk14) = X0
| closed(sk14) )
| ~ spl0_3 ),
inference(resolution,[],[f575,f32]) ).
fof(f32,axiom,
! [X0] :
( end_point(ax0_sk6(X0),X0)
| closed(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',closed_defn_32) ).
fof(f361,plain,
( ~ spl0_22
| ~ spl0_1
| ~ spl0_2
| spl0_20 ),
inference(avatar_split_clause,[],[f350,f342,f59,f54,f357]) ).
fof(f357,plain,
( spl0_22
<=> part_of(sk14,sk15) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f350,plain,
( ~ part_of(sk14,sk15)
| ~ spl0_1
| ~ spl0_2
| spl0_20 ),
inference(global_subsumption,[],[f347,f48,f45,f12,f11,f29,f28,f4,f7,f43,f30,f40,f14,f36,f50,f51,f52,f61,f49,f37,f31,f34,f13,f21,f91,f22,f92,f32,f94,f33,f24,f98,f93,f96,f25,f2,f3,f114,f35,f116,f41,f42,f148,f1,f154,f23,f152,f170,f5,f171,f153,f174,f167,f176,f179,f181,f6,f184,f185,f15,f187,f188,f16,f189,f190,f17,f191,f18,f192,f38,f193,f194,f44,f198,f151,f205,f155,f207,f39,f209,f208,f211,f213,f210,f215,f216,f217,f218,f219,f220,f225,f226,f221,f231,f212,f233,f234,f235,f236,f237,f238,f243,f244,f245,f239,f250,f251,f19,f224,f253,f254,f242,f256,f257,f230,f258,f259,f260,f249,f261,f262,f263,f222,f240,f173,f265,f186,f267,f195,f20,f196,f172,f275,f272,f273,f277,f276,f278,f280,f281,f282,f283,f286,f289,f292,f293,f294,f26,f306,f279,f333,f27,f335,f344,f349]) ).
fof(f349,plain,
( ~ part_of(sk14,sk15)
| ~ spl0_2
| spl0_20 ),
inference(subsumption_resolution,[],[f346,f114]) ).
fof(f346,plain,
( ~ part_of(sk14,sk15)
| ~ part_of(sk16,sk16)
| ~ spl0_2
| spl0_20 ),
inference(resolution,[],[f344,f179]) ).
fof(f335,plain,
! [X2,X3,X1] :
( ~ incident_c(X1,ax0_sk10(X2,X3))
| end_point(X1,ax0_sk10(X2,X3))
| ~ incident_c(X1,ax0_sk9(X2,X3))
| ~ inner_point(X2,X3) ),
inference(resolution,[],[f27,f38]) ).
fof(f27,axiom,
! [X2,X3,X0,X1] :
( ~ meet(X0,X1,X2)
| ~ incident_c(X3,X2)
| end_point(X3,X2)
| ~ incident_c(X3,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',meet_defn_27) ).
fof(f333,plain,
! [X0,X1] :
( ~ closed(X0)
| sum(X0,X1) = X0 ),
inference(resolution,[],[f279,f98]) ).
fof(f279,plain,
! [X3,X4] :
( open(X3)
| sum(X3,X4) = X3 ),
inference(resolution,[],[f276,f35]) ).
fof(f306,plain,
! [X2,X3,X1] :
( ~ incident_c(X1,ax0_sk10(X2,X3))
| end_point(X1,ax0_sk9(X2,X3))
| ~ incident_c(X1,ax0_sk9(X2,X3))
| ~ inner_point(X2,X3) ),
inference(resolution,[],[f26,f38]) ).
fof(f26,axiom,
! [X2,X3,X0,X1] :
( ~ meet(X0,X1,X2)
| ~ incident_c(X3,X2)
| end_point(X3,X1)
| ~ incident_c(X3,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',meet_defn_26) ).
fof(f294,plain,
! [X5] : incident_c(ax0_sk8(ax0_sk9(ax0_sk8(ax0_sk9(ax0_sk8(X5),X5)),ax0_sk9(ax0_sk8(X5),X5))),X5),
inference(resolution,[],[f289,f242]) ).
fof(f293,plain,
! [X4] : incident_c(ax0_sk8(ax0_sk9(ax0_sk8(ax0_sk10(ax0_sk8(X4),X4)),ax0_sk10(ax0_sk8(X4),X4))),X4),
inference(resolution,[],[f289,f224]) ).
fof(f292,plain,
! [X3] :
( open(ax0_sk9(ax0_sk8(X3),X3))
| ax0_sk9(ax0_sk8(X3),X3) = X3 ),
inference(resolution,[],[f289,f35]) ).
fof(f289,plain,
! [X0] : part_of(ax0_sk9(ax0_sk8(X0),X0),X0),
inference(superposition,[],[f276,f208]) ).
fof(f286,plain,
( ! [X24,X25,X23] :
( ~ part_of(sum(sk14,X24),X25)
| ~ part_of(X23,sk16)
| incident_c(ax0_sk8(X23),X25) )
| ~ spl0_2 ),
inference(resolution,[],[f276,f181]) ).
fof(f283,plain,
! [X18,X16,X17] :
( incident_c(X16,sum(ax0_sk10(X16,X17),X18))
| ~ inner_point(X16,X17) ),
inference(resolution,[],[f276,f195]) ).
fof(f282,plain,
! [X14,X15,X13] :
( incident_c(X13,sum(ax0_sk9(X13,X14),X15))
| ~ inner_point(X13,X14) ),
inference(resolution,[],[f276,f196]) ).
fof(f281,plain,
! [X10,X11,X9,X12] :
( incident_c(X9,sum(sum(X10,X11),X12))
| ~ incident_c(X9,X10) ),
inference(resolution,[],[f276,f173]) ).
fof(f280,plain,
! [X8,X6,X7,X5] :
( incident_c(X5,sum(sum(X7,X6),X8))
| ~ incident_c(X5,X6) ),
inference(resolution,[],[f276,f186]) ).
fof(f278,plain,
! [X2,X0,X1] :
( incident_c(ax0_sk8(X0),sum(X1,X2))
| ~ part_of(X0,X1) ),
inference(resolution,[],[f276,f167]) ).
fof(f276,plain,
! [X0,X1] : part_of(X0,sum(X0,X1)),
inference(duplicate_literal_removal,[],[f270]) ).
fof(f270,plain,
! [X0,X1] :
( part_of(X0,sum(X0,X1))
| part_of(X0,sum(X0,X1)) ),
inference(resolution,[],[f172,f2]) ).
fof(f277,plain,
! [X0,X1] :
( ~ incident_c(ax0_sk1(X1,X0),ax0_sk9(ax0_sk8(X0),X0))
| part_of(X1,X0) ),
inference(forward_demodulation,[],[f274,f208]) ).
fof(f274,plain,
! [X0,X1] :
( ~ incident_c(ax0_sk1(X1,X0),ax0_sk9(ax0_sk8(X0),X0))
| part_of(X1,sum(ax0_sk9(ax0_sk8(X0),X0),ax0_sk10(ax0_sk8(X0),X0))) ),
inference(superposition,[],[f172,f208]) ).
fof(f273,plain,
! [X10,X11,X9,X12] :
( part_of(X9,sum(sum(X10,X11),X12))
| ~ incident_c(ax0_sk1(X9,sum(sum(X10,X11),X12)),X10) ),
inference(resolution,[],[f172,f171]) ).
fof(f272,plain,
! [X8,X6,X7,X5] :
( part_of(X5,sum(sum(X6,X7),X8))
| ~ incident_c(ax0_sk1(X5,sum(sum(X6,X7),X8)),X7) ),
inference(resolution,[],[f172,f184]) ).
fof(f275,plain,
! [X2,X3,X4] :
( part_of(X2,sum(X3,X4))
| ~ part_of(X2,X3) ),
inference(duplicate_literal_removal,[],[f271]) ).
fof(f271,plain,
! [X2,X3,X4] :
( part_of(X2,sum(X3,X4))
| ~ part_of(X2,X3)
| part_of(X2,sum(X3,X4)) ),
inference(resolution,[],[f172,f151]) ).
fof(f172,plain,
! [X2,X0,X1] :
( ~ incident_c(ax0_sk1(X0,sum(X1,X2)),X1)
| part_of(X0,sum(X1,X2)) ),
inference(resolution,[],[f171,f3]) ).
fof(f196,plain,
! [X2,X0,X1] :
( ~ part_of(ax0_sk9(X0,X1),X2)
| ~ inner_point(X0,X1)
| incident_c(X0,X2) ),
inference(resolution,[],[f194,f1]) ).
fof(f20,axiom,
! [X0,X1] :
( ~ part_of(ax0_sk4(X1,X0),ax0_sk3(X1,X0))
| end_point(X0,X1)
| ~ incident_c(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',end_point_defn_20) ).
fof(f195,plain,
! [X2,X0,X1] :
( ~ part_of(ax0_sk10(X0,X1),X2)
| ~ inner_point(X0,X1)
| incident_c(X0,X2) ),
inference(resolution,[],[f193,f1]) ).
fof(f267,plain,
! [X2,X0,X1] :
( ~ part_of(X0,X1)
| ~ incident_c(X2,ax0_sk10(ax0_sk8(X0),X0))
| incident_c(X2,X1) ),
inference(superposition,[],[f186,f208]) ).
fof(f186,plain,
! [X3,X6,X4,X5] :
( ~ part_of(sum(X5,X4),X6)
| ~ incident_c(X3,X4)
| incident_c(X3,X6) ),
inference(resolution,[],[f184,f1]) ).
fof(f265,plain,
! [X2,X0,X1] :
( ~ part_of(X0,X1)
| ~ incident_c(X2,ax0_sk9(ax0_sk8(X0),X0))
| incident_c(X2,X1) ),
inference(superposition,[],[f173,f208]) ).
fof(f173,plain,
! [X3,X6,X4,X5] :
( ~ part_of(sum(X4,X5),X6)
| ~ incident_c(X3,X4)
| incident_c(X3,X6) ),
inference(resolution,[],[f171,f1]) ).
fof(f240,plain,
( ! [X14,X13] :
( ~ part_of(sk14,ax0_sk9(ax0_sk8(X14),X14))
| incident_c(ax0_sk8(X13),X14)
| ~ part_of(X13,sk16) )
| ~ spl0_2 ),
inference(resolution,[],[f212,f179]) ).
fof(f222,plain,
( ! [X14,X13] :
( ~ part_of(sk14,ax0_sk10(ax0_sk8(X14),X14))
| incident_c(ax0_sk8(X13),X14)
| ~ part_of(X13,sk16) )
| ~ spl0_2 ),
inference(resolution,[],[f210,f179]) ).
fof(f263,plain,
! [X6,X5] :
( ~ part_of(X5,ax0_sk9(ax0_sk8(X6),X6))
| incident_c(ax0_sk8(ax0_sk9(ax0_sk8(X5),X5)),X6) ),
inference(resolution,[],[f249,f212]) ).
fof(f262,plain,
! [X3,X4] :
( ~ part_of(X3,ax0_sk10(ax0_sk8(X4),X4))
| incident_c(ax0_sk8(ax0_sk9(ax0_sk8(X3),X3)),X4) ),
inference(resolution,[],[f249,f210]) ).
fof(f261,plain,
! [X2,X0,X1] :
( ~ part_of(X0,X1)
| ~ part_of(X1,X2)
| incident_c(ax0_sk8(ax0_sk9(ax0_sk8(X0),X0)),X2) ),
inference(resolution,[],[f249,f1]) ).
fof(f249,plain,
! [X0,X1] :
( incident_c(ax0_sk8(ax0_sk9(ax0_sk8(X0),X0)),X1)
| ~ part_of(X0,X1) ),
inference(resolution,[],[f239,f1]) ).
fof(f260,plain,
! [X6,X5] :
( ~ part_of(X5,ax0_sk9(ax0_sk8(X6),X6))
| incident_c(ax0_sk8(ax0_sk10(ax0_sk8(X5),X5)),X6) ),
inference(resolution,[],[f230,f212]) ).
fof(f259,plain,
! [X3,X4] :
( ~ part_of(X3,ax0_sk10(ax0_sk8(X4),X4))
| incident_c(ax0_sk8(ax0_sk10(ax0_sk8(X3),X3)),X4) ),
inference(resolution,[],[f230,f210]) ).
fof(f258,plain,
! [X2,X0,X1] :
( ~ part_of(X0,X1)
| ~ part_of(X1,X2)
| incident_c(ax0_sk8(ax0_sk10(ax0_sk8(X0),X0)),X2) ),
inference(resolution,[],[f230,f1]) ).
fof(f230,plain,
! [X0,X1] :
( incident_c(ax0_sk8(ax0_sk10(ax0_sk8(X0),X0)),X1)
| ~ part_of(X0,X1) ),
inference(resolution,[],[f221,f1]) ).
fof(f257,plain,
! [X3,X4] :
( incident_c(ax0_sk8(ax0_sk4(ax0_sk9(ax0_sk8(X3),X3),X4)),X3)
| end_point(X4,ax0_sk9(ax0_sk8(X3),X3))
| ~ incident_c(X4,ax0_sk9(ax0_sk8(X3),X3)) ),
inference(resolution,[],[f242,f16]) ).
fof(f256,plain,
! [X2,X1] :
( incident_c(ax0_sk8(ax0_sk3(ax0_sk9(ax0_sk8(X1),X1),X2)),X1)
| end_point(X2,ax0_sk9(ax0_sk8(X1),X1))
| ~ incident_c(X2,ax0_sk9(ax0_sk8(X1),X1)) ),
inference(resolution,[],[f242,f15]) ).
fof(f242,plain,
! [X18,X17] :
( ~ part_of(X17,ax0_sk9(ax0_sk8(X18),X18))
| incident_c(ax0_sk8(X17),X18) ),
inference(resolution,[],[f212,f154]) ).
fof(f254,plain,
! [X3,X4] :
( incident_c(ax0_sk8(ax0_sk4(ax0_sk10(ax0_sk8(X3),X3),X4)),X3)
| end_point(X4,ax0_sk10(ax0_sk8(X3),X3))
| ~ incident_c(X4,ax0_sk10(ax0_sk8(X3),X3)) ),
inference(resolution,[],[f224,f16]) ).
fof(f253,plain,
! [X2,X1] :
( incident_c(ax0_sk8(ax0_sk3(ax0_sk10(ax0_sk8(X1),X1),X2)),X1)
| end_point(X2,ax0_sk10(ax0_sk8(X1),X1))
| ~ incident_c(X2,ax0_sk10(ax0_sk8(X1),X1)) ),
inference(resolution,[],[f224,f15]) ).
fof(f224,plain,
! [X18,X17] :
( ~ part_of(X17,ax0_sk10(ax0_sk8(X18),X18))
| incident_c(ax0_sk8(X17),X18) ),
inference(resolution,[],[f210,f154]) ).
fof(f19,axiom,
! [X0,X1] :
( ~ part_of(ax0_sk3(X1,X0),ax0_sk4(X1,X0))
| end_point(X0,X1)
| ~ incident_c(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',end_point_defn_19) ).
fof(f251,plain,
! [X3] : incident_c(ax0_sk8(ax0_sk9(ax0_sk8(ax0_sk9(ax0_sk8(X3),X3)),ax0_sk9(ax0_sk8(X3),X3))),X3),
inference(resolution,[],[f239,f212]) ).
fof(f250,plain,
! [X2] : incident_c(ax0_sk8(ax0_sk9(ax0_sk8(ax0_sk10(ax0_sk8(X2),X2)),ax0_sk10(ax0_sk8(X2),X2))),X2),
inference(resolution,[],[f239,f210]) ).
fof(f239,plain,
! [X12] : incident_c(ax0_sk8(ax0_sk9(ax0_sk8(X12),X12)),X12),
inference(resolution,[],[f212,f91]) ).
fof(f245,plain,
! [X24,X22,X23] :
( incident_c(ax0_sk11(X22,X23),X24)
| ~ part_of(X23,ax0_sk9(ax0_sk8(X24),X24))
| ~ end_point(X22,X23) ),
inference(resolution,[],[f212,f155]) ).
fof(f244,plain,
! [X21,X20] :
( incident_c(ax0_sk11(X20,ax0_sk9(ax0_sk8(X21),X21)),X21)
| ~ end_point(X20,ax0_sk9(ax0_sk8(X21),X21)) ),
inference(resolution,[],[f212,f148]) ).
fof(f243,plain,
! [X19] : incident_c(ax0_sk8(ax0_sk10(ax0_sk8(ax0_sk9(ax0_sk8(X19),X19)),ax0_sk9(ax0_sk8(X19),X19))),X19),
inference(resolution,[],[f212,f221]) ).
fof(f238,plain,
! [X10,X11] :
( incident_c(ax0_sk7(X10),X11)
| ~ part_of(X10,ax0_sk9(ax0_sk8(X11),X11))
| ~ open(X10) ),
inference(resolution,[],[f212,f153]) ).
fof(f237,plain,
! [X9] :
( incident_c(ax0_sk7(ax0_sk9(ax0_sk8(X9),X9)),X9)
| ~ open(ax0_sk9(ax0_sk8(X9),X9)) ),
inference(resolution,[],[f212,f96]) ).
fof(f236,plain,
! [X8,X7] :
( incident_c(ax0_sk6(X7),X8)
| ~ part_of(X7,ax0_sk9(ax0_sk8(X8),X8))
| closed(X7) ),
inference(resolution,[],[f212,f152]) ).
fof(f235,plain,
! [X6] :
( incident_c(ax0_sk6(ax0_sk9(ax0_sk8(X6),X6)),X6)
| closed(ax0_sk9(ax0_sk8(X6),X6)) ),
inference(resolution,[],[f212,f93]) ).
fof(f234,plain,
! [X3,X4,X5] :
( incident_c(ax0_sk1(X3,X4),X5)
| ~ part_of(X3,ax0_sk9(ax0_sk8(X5),X5))
| part_of(X3,X4) ),
inference(resolution,[],[f212,f151]) ).
fof(f233,plain,
! [X2,X1] :
( incident_c(ax0_sk1(ax0_sk9(ax0_sk8(X1),X1),X2),X1)
| part_of(ax0_sk9(ax0_sk8(X1),X1),X2) ),
inference(resolution,[],[f212,f2]) ).
fof(f212,plain,
! [X6,X5] :
( ~ incident_c(X6,ax0_sk9(ax0_sk8(X5),X5))
| incident_c(X6,X5) ),
inference(superposition,[],[f171,f208]) ).
fof(f231,plain,
! [X2] : incident_c(ax0_sk8(ax0_sk10(ax0_sk8(ax0_sk10(ax0_sk8(X2),X2)),ax0_sk10(ax0_sk8(X2),X2))),X2),
inference(resolution,[],[f221,f210]) ).
fof(f221,plain,
! [X12] : incident_c(ax0_sk8(ax0_sk10(ax0_sk8(X12),X12)),X12),
inference(resolution,[],[f210,f91]) ).
fof(f226,plain,
! [X21,X22,X23] :
( incident_c(ax0_sk11(X21,X22),X23)
| ~ part_of(X22,ax0_sk10(ax0_sk8(X23),X23))
| ~ end_point(X21,X22) ),
inference(resolution,[],[f210,f155]) ).
fof(f225,plain,
! [X19,X20] :
( incident_c(ax0_sk11(X19,ax0_sk10(ax0_sk8(X20),X20)),X20)
| ~ end_point(X19,ax0_sk10(ax0_sk8(X20),X20)) ),
inference(resolution,[],[f210,f148]) ).
fof(f220,plain,
! [X10,X11] :
( incident_c(ax0_sk7(X10),X11)
| ~ part_of(X10,ax0_sk10(ax0_sk8(X11),X11))
| ~ open(X10) ),
inference(resolution,[],[f210,f153]) ).
fof(f219,plain,
! [X9] :
( incident_c(ax0_sk7(ax0_sk10(ax0_sk8(X9),X9)),X9)
| ~ open(ax0_sk10(ax0_sk8(X9),X9)) ),
inference(resolution,[],[f210,f96]) ).
fof(f218,plain,
! [X8,X7] :
( incident_c(ax0_sk6(X7),X8)
| ~ part_of(X7,ax0_sk10(ax0_sk8(X8),X8))
| closed(X7) ),
inference(resolution,[],[f210,f152]) ).
fof(f217,plain,
! [X6] :
( incident_c(ax0_sk6(ax0_sk10(ax0_sk8(X6),X6)),X6)
| closed(ax0_sk10(ax0_sk8(X6),X6)) ),
inference(resolution,[],[f210,f93]) ).
fof(f216,plain,
! [X3,X4,X5] :
( incident_c(ax0_sk1(X3,X4),X5)
| ~ part_of(X3,ax0_sk10(ax0_sk8(X5),X5))
| part_of(X3,X4) ),
inference(resolution,[],[f210,f151]) ).
fof(f215,plain,
! [X2,X1] :
( incident_c(ax0_sk1(ax0_sk10(ax0_sk8(X1),X1),X2),X1)
| part_of(ax0_sk10(ax0_sk8(X1),X1),X2) ),
inference(resolution,[],[f210,f2]) ).
fof(f210,plain,
! [X0,X1] :
( ~ incident_c(X1,ax0_sk10(ax0_sk8(X0),X0))
| incident_c(X1,X0) ),
inference(superposition,[],[f184,f208]) ).
fof(f213,plain,
! [X8,X9,X7] :
( X7 != X8
| incident_c(X9,X8)
| ~ incident_c(X9,ax0_sk9(ax0_sk8(X7),X7)) ),
inference(superposition,[],[f5,f208]) ).
fof(f211,plain,
! [X2,X3,X4] :
( X2 != X3
| incident_c(X4,X3)
| ~ incident_c(X4,ax0_sk10(ax0_sk8(X2),X2)) ),
inference(superposition,[],[f6,f208]) ).
fof(f208,plain,
! [X0] : sum(ax0_sk9(ax0_sk8(X0),X0),ax0_sk10(ax0_sk8(X0),X0)) = X0,
inference(resolution,[],[f39,f37]) ).
fof(f209,plain,
! [X2,X1] :
( sum(ax0_sk9(X1,X2),ax0_sk10(X1,X2)) = X2
| ~ incident_c(X1,X2)
| end_point(X1,X2) ),
inference(resolution,[],[f39,f23]) ).
fof(f39,axiom,
! [X0,X1] :
( ~ inner_point(X0,X1)
| sum(ax0_sk9(X0,X1),ax0_sk10(X0,X1)) = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',c4_39) ).
fof(f207,plain,
! [X2,X3,X0,X1] :
( ~ part_of(X0,X1)
| ~ end_point(X2,X0)
| ~ part_of(X1,X3)
| incident_c(ax0_sk11(X2,X0),X3) ),
inference(resolution,[],[f155,f1]) ).
fof(f155,plain,
! [X10,X11,X9] :
( incident_c(ax0_sk11(X11,X9),X10)
| ~ part_of(X9,X10)
| ~ end_point(X11,X9) ),
inference(resolution,[],[f1,f148]) ).
fof(f205,plain,
! [X2,X3,X4,X5] :
( ~ part_of(X2,X3)
| part_of(X2,X4)
| ~ part_of(X3,X5)
| incident_c(ax0_sk1(X2,X4),X5) ),
inference(resolution,[],[f151,f1]) ).
fof(f151,plain,
! [X2,X0,X1] :
( incident_c(ax0_sk1(X0,X2),X1)
| ~ part_of(X0,X1)
| part_of(X0,X2) ),
inference(resolution,[],[f1,f2]) ).
fof(f198,plain,
! [X0,X1] :
( sum(ax0_sk9(X0,X1),ax0_sk10(X0,X1)) = ax0_sk12(ax0_sk10(X0,X1),ax0_sk9(X0,X1))
| ~ inner_point(X0,X1) ),
inference(resolution,[],[f44,f38]) ).
fof(f44,axiom,
! [X2,X0,X1] :
( ~ meet(X0,X1,X2)
| sum(X1,X2) = ax0_sk12(X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',c8_44) ).
fof(f194,plain,
! [X2,X3] :
( incident_c(X2,ax0_sk9(X2,X3))
| ~ inner_point(X2,X3) ),
inference(resolution,[],[f38,f24]) ).
fof(f193,plain,
! [X0,X1] :
( incident_c(X0,ax0_sk10(X0,X1))
| ~ inner_point(X0,X1) ),
inference(resolution,[],[f38,f25]) ).
fof(f38,axiom,
! [X0,X1] :
( meet(X0,ax0_sk9(X0,X1),ax0_sk10(X0,X1))
| ~ inner_point(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',c4_38) ).
fof(f192,plain,
! [X2,X0,X1] :
( ~ part_of(ax0_sk4(X1,X0),X2)
| ~ incident_c(X0,X1)
| end_point(X0,X1)
| incident_c(X0,X2) ),
inference(resolution,[],[f18,f1]) ).
fof(f18,axiom,
! [X0,X1] :
( incident_c(X0,ax0_sk4(X1,X0))
| end_point(X0,X1)
| ~ incident_c(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',end_point_defn_18) ).
fof(f191,plain,
! [X2,X0,X1] :
( ~ part_of(ax0_sk3(X1,X0),X2)
| ~ incident_c(X0,X1)
| end_point(X0,X1)
| incident_c(X0,X2) ),
inference(resolution,[],[f17,f1]) ).
fof(f17,axiom,
! [X0,X1] :
( incident_c(X0,ax0_sk3(X1,X0))
| end_point(X0,X1)
| ~ incident_c(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',end_point_defn_17) ).
fof(f190,plain,
! [X3,X4] :
( open(ax0_sk4(X4,X3))
| ~ incident_c(X3,X4)
| end_point(X3,X4)
| ax0_sk4(X4,X3) = X4 ),
inference(resolution,[],[f16,f35]) ).
fof(f189,plain,
! [X2,X0,X1] :
( end_point(X0,X1)
| ~ incident_c(X0,X1)
| ~ part_of(X2,ax0_sk4(X1,X0))
| incident_c(ax0_sk8(X2),X1) ),
inference(resolution,[],[f16,f167]) ).
fof(f16,axiom,
! [X0,X1] :
( part_of(ax0_sk4(X1,X0),X1)
| end_point(X0,X1)
| ~ incident_c(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',end_point_defn_16) ).
fof(f188,plain,
! [X3,X4] :
( open(ax0_sk3(X4,X3))
| ~ incident_c(X3,X4)
| end_point(X3,X4)
| ax0_sk3(X4,X3) = X4 ),
inference(resolution,[],[f15,f35]) ).
fof(f187,plain,
! [X2,X0,X1] :
( end_point(X0,X1)
| ~ incident_c(X0,X1)
| ~ part_of(X2,ax0_sk3(X1,X0))
| incident_c(ax0_sk8(X2),X1) ),
inference(resolution,[],[f15,f167]) ).
fof(f15,axiom,
! [X0,X1] :
( part_of(ax0_sk3(X1,X0),X1)
| end_point(X0,X1)
| ~ incident_c(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',end_point_defn_15) ).
fof(f185,plain,
! [X2,X0,X1] :
( ~ incident_c(ax0_sk1(X0,sum(X1,X2)),X2)
| part_of(X0,sum(X1,X2)) ),
inference(resolution,[],[f184,f3]) ).
fof(f184,plain,
! [X2,X0,X1] :
( incident_c(X0,sum(X1,X2))
| ~ incident_c(X0,X2) ),
inference(equality_resolution,[],[f6]) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( sum(X1,X2) != X0
| incident_c(X3,X0)
| ~ incident_c(X3,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',sum_defn_6) ).
fof(f181,plain,
( ! [X2,X0,X1] :
( ~ part_of(sk14,X0)
| ~ part_of(X1,sk16)
| ~ part_of(X0,X2)
| incident_c(ax0_sk8(X1),X2) )
| ~ spl0_2 ),
inference(resolution,[],[f179,f1]) ).
fof(f179,plain,
( ! [X0,X1] :
( incident_c(ax0_sk8(X0),X1)
| ~ part_of(sk14,X1)
| ~ part_of(X0,sk16) )
| ~ spl0_2 ),
inference(resolution,[],[f176,f1]) ).
fof(f176,plain,
( ! [X1] :
( incident_c(ax0_sk8(X1),sk14)
| ~ part_of(X1,sk16) )
| ~ spl0_2 ),
inference(resolution,[],[f167,f61]) ).
fof(f167,plain,
! [X2,X0,X1] :
( ~ part_of(X1,X2)
| ~ part_of(X0,X1)
| incident_c(ax0_sk8(X0),X2) ),
inference(resolution,[],[f154,f1]) ).
fof(f174,plain,
! [X2,X0,X1] :
( ~ part_of(X0,X1)
| ~ open(X0)
| ~ part_of(X1,X2)
| incident_c(ax0_sk7(X0),X2) ),
inference(resolution,[],[f153,f1]) ).
fof(f153,plain,
! [X6,X5] :
( incident_c(ax0_sk7(X5),X6)
| ~ part_of(X5,X6)
| ~ open(X5) ),
inference(resolution,[],[f1,f96]) ).
fof(f171,plain,
! [X2,X0,X1] :
( incident_c(X0,sum(X1,X2))
| ~ incident_c(X0,X1) ),
inference(equality_resolution,[],[f5]) ).
fof(f170,plain,
! [X2,X0,X1] :
( ~ part_of(X0,X1)
| closed(X0)
| ~ part_of(X1,X2)
| incident_c(ax0_sk6(X0),X2) ),
inference(resolution,[],[f152,f1]) ).
fof(f152,plain,
! [X3,X4] :
( incident_c(ax0_sk6(X3),X4)
| ~ part_of(X3,X4)
| closed(X3) ),
inference(resolution,[],[f1,f93]) ).
fof(f23,axiom,
! [X0,X1] :
( inner_point(X0,X1)
| ~ incident_c(X0,X1)
| end_point(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',inner_point_defn_23) ).
fof(f154,plain,
! [X8,X7] :
( incident_c(ax0_sk8(X7),X8)
| ~ part_of(X7,X8) ),
inference(resolution,[],[f1,f91]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ incident_c(X2,X0)
| ~ part_of(X0,X1)
| incident_c(X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',part_of_defn_1) ).
fof(f148,plain,
! [X0,X1] :
( incident_c(ax0_sk11(X0,X1),X1)
| ~ end_point(X0,X1) ),
inference(resolution,[],[f41,f13]) ).
fof(f42,axiom,
! [X0,X1] :
( ax0_sk11(X0,X1) != X0
| ~ end_point(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',c6_42) ).
fof(f116,plain,
( open(sk16)
| sk16 = sk14
| ~ spl0_2 ),
inference(resolution,[],[f35,f61]) ).
fof(f35,axiom,
! [X0,X1] :
( ~ part_of(X0,X1)
| open(X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',c1_35) ).
fof(f114,plain,
! [X0] : part_of(X0,X0),
inference(duplicate_literal_removal,[],[f113]) ).
fof(f113,plain,
! [X0] :
( part_of(X0,X0)
| part_of(X0,X0) ),
inference(resolution,[],[f3,f2]) ).
fof(f3,axiom,
! [X0,X1] :
( ~ incident_c(ax0_sk1(X0,X1),X1)
| part_of(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',part_of_defn_3) ).
fof(f2,axiom,
! [X0,X1] :
( incident_c(ax0_sk1(X0,X1),X0)
| part_of(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',part_of_defn_2) ).
fof(f25,axiom,
! [X2,X0,X1] :
( ~ meet(X0,X1,X2)
| incident_c(X0,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',meet_defn_25) ).
fof(f96,plain,
! [X0] :
( incident_c(ax0_sk7(X0),X0)
| ~ open(X0) ),
inference(resolution,[],[f33,f13]) ).
fof(f93,plain,
! [X0] :
( incident_c(ax0_sk6(X0),X0)
| closed(X0) ),
inference(resolution,[],[f32,f13]) ).
fof(f98,plain,
! [X2] :
( ~ open(X2)
| ~ closed(X2) ),
inference(resolution,[],[f33,f31]) ).
fof(f24,axiom,
! [X2,X0,X1] :
( ~ meet(X0,X1,X2)
| incident_c(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',meet_defn_24) ).
fof(f94,plain,
! [X1] :
( open(X1)
| closed(X1) ),
inference(resolution,[],[f32,f34]) ).
fof(f92,plain,
! [X0] : ~ end_point(ax0_sk8(X0),X0),
inference(resolution,[],[f22,f37]) ).
fof(f22,axiom,
! [X0,X1] :
( ~ inner_point(X0,X1)
| ~ end_point(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',inner_point_defn_22) ).
fof(f13,axiom,
! [X0,X1] :
( ~ end_point(X0,X1)
| incident_c(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',end_point_defn_13) ).
fof(f34,axiom,
! [X0,X1] :
( ~ end_point(X0,X1)
| open(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',open_defn_34) ).
fof(f31,axiom,
! [X0,X1] :
( ~ end_point(X1,X0)
| ~ closed(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',closed_defn_31) ).
fof(f49,axiom,
meet(sk17,sk15,sk16),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',proposition_2_14_3_67) ).
fof(f52,axiom,
end_point(sk17,sk14),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',proposition_2_14_3_70) ).
fof(f51,axiom,
part_of(sk16,sk14),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',proposition_2_14_3_69) ).
fof(f50,axiom,
part_of(sk15,sk14),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',proposition_2_14_3_68) ).
fof(f36,axiom,
! [X2,X3,X0,X1,X4] :
( ~ end_point(X4,X3)
| ~ end_point(X4,X2)
| ~ end_point(X4,X0)
| ~ part_of(X3,X1)
| ~ part_of(X2,X1)
| ~ part_of(X0,X1)
| part_of(X3,X2)
| part_of(X0,X2)
| part_of(X2,X0)
| part_of(X0,X3)
| part_of(X3,X0)
| part_of(X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',c2_36) ).
fof(f30,axiom,
! [X2,X0,X1] :
( ~ end_point(ax0_sk5(X2,X1,X0),X2)
| ~ incident_c(X0,X2)
| meet(X0,X1,X2)
| ~ incident_c(X0,X1)
| ~ end_point(ax0_sk5(X2,X1,X0),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',meet_defn_30) ).
fof(f43,axiom,
! [X2,X3,X0,X1,X4] :
( sum(X2,X3) != X0
| ~ end_point(X4,X2)
| ~ meet(X1,X2,X3)
| meet(X4,X2,X3)
| ~ closed(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',c7_43) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( sum(X1,X2) != X0
| incident_c(X3,X2)
| incident_c(X3,X1)
| ~ incident_c(X3,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',sum_defn_4) ).
fof(f28,axiom,
! [X2,X0,X1] :
( incident_c(ax0_sk5(X2,X1,X0),X1)
| ~ incident_c(X0,X1)
| meet(X0,X1,X2)
| ~ incident_c(X0,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',meet_defn_28) ).
fof(f29,axiom,
! [X2,X0,X1] :
( incident_c(ax0_sk5(X2,X1,X0),X2)
| ~ incident_c(X0,X1)
| meet(X0,X1,X2)
| ~ incident_c(X0,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',meet_defn_29) ).
fof(f45,axiom,
! [X0,X1] :
( incident_c(ax0_sk13(X0,X1),X1)
| incident_c(ax0_sk13(X0,X1),X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',c9_45) ).
fof(f48,axiom,
! [X0,X1] :
( ~ incident_c(ax0_sk13(X0,X1),X1)
| X0 = X1
| ~ incident_c(ax0_sk13(X0,X1),X0) ),
file('/export/starexec/sandbox2/tmp/tmp.ZMlToHjjRl/Vampire---4.8_6488',c9_48) ).
fof(f347,plain,
( ~ part_of(sk14,sk15)
| ~ part_of(sk16,sk15)
| ~ spl0_1
| spl0_20 ),
inference(resolution,[],[f344,f178]) ).
fof(f178,plain,
( ! [X0,X1] :
( incident_c(ax0_sk8(X0),X1)
| ~ part_of(sk14,X1)
| ~ part_of(X0,sk15) )
| ~ spl0_1 ),
inference(resolution,[],[f175,f1]) ).
fof(f175,plain,
( ! [X0] :
( incident_c(ax0_sk8(X0),sk14)
| ~ part_of(X0,sk15) )
| ~ spl0_1 ),
inference(resolution,[],[f167,f56]) ).
fof(f360,plain,
( ~ spl0_22
| ~ spl0_2
| spl0_20 ),
inference(avatar_split_clause,[],[f349,f342,f59,f357]) ).
fof(f355,plain,
( ~ spl0_21
| spl0_20 ),
inference(avatar_split_clause,[],[f348,f342,f352]) ).
fof(f348,plain,
( ~ part_of(sk16,sk15)
| spl0_20 ),
inference(resolution,[],[f344,f154]) ).
fof(f345,plain,
( ~ spl0_20
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f340,f69,f342]) ).
fof(f69,plain,
( spl0_4
<=> meet(sk17,sk15,sk16) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f340,plain,
( ~ incident_c(ax0_sk8(sk16),sk15)
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f339,f91]) ).
fof(f339,plain,
( ~ incident_c(ax0_sk8(sk16),sk16)
| ~ incident_c(ax0_sk8(sk16),sk15)
| ~ spl0_4 ),
inference(resolution,[],[f334,f92]) ).
fof(f334,plain,
( ! [X0] :
( end_point(X0,sk16)
| ~ incident_c(X0,sk16)
| ~ incident_c(X0,sk15) )
| ~ spl0_4 ),
inference(resolution,[],[f27,f71]) ).
fof(f71,plain,
( meet(sk17,sk15,sk16)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f332,plain,
( ~ spl0_19
| ~ spl0_1
| spl0_17 ),
inference(avatar_split_clause,[],[f322,f315,f54,f329]) ).
fof(f329,plain,
( spl0_19
<=> part_of(sk14,sk16) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f322,plain,
( ~ part_of(sk14,sk16)
| ~ spl0_1
| spl0_17 ),
inference(subsumption_resolution,[],[f320,f114]) ).
fof(f320,plain,
( ~ part_of(sk14,sk16)
| ~ part_of(sk15,sk15)
| ~ spl0_1
| spl0_17 ),
inference(resolution,[],[f317,f178]) ).
fof(f327,plain,
( ~ spl0_18
| spl0_17 ),
inference(avatar_split_clause,[],[f321,f315,f324]) ).
fof(f321,plain,
( ~ part_of(sk15,sk16)
| spl0_17 ),
inference(resolution,[],[f317,f154]) ).
fof(f318,plain,
( ~ spl0_17
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f313,f69,f315]) ).
fof(f313,plain,
( ~ incident_c(ax0_sk8(sk15),sk16)
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f312,f91]) ).
fof(f312,plain,
( ~ incident_c(ax0_sk8(sk15),sk16)
| ~ incident_c(ax0_sk8(sk15),sk15)
| ~ spl0_4 ),
inference(resolution,[],[f305,f92]) ).
fof(f305,plain,
( ! [X0] :
( end_point(X0,sk15)
| ~ incident_c(X0,sk16)
| ~ incident_c(X0,sk15) )
| ~ spl0_4 ),
inference(resolution,[],[f26,f71]) ).
fof(f203,plain,
( spl0_16
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f197,f69,f200]) ).
fof(f200,plain,
( spl0_16
<=> sum(sk15,sk16) = ax0_sk12(sk16,sk15) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f197,plain,
( sum(sk15,sk16) = ax0_sk12(sk16,sk15)
| ~ spl0_4 ),
inference(resolution,[],[f44,f71]) ).
fof(f147,plain,
( ~ spl0_15
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f142,f138,f144]) ).
fof(f144,plain,
( spl0_15
<=> closed(sk16) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f138,plain,
( spl0_14
<=> open(sk16) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f142,plain,
( ~ closed(sk16)
| ~ spl0_14 ),
inference(resolution,[],[f140,f98]) ).
fof(f140,plain,
( open(sk16)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f141,plain,
( spl0_13
| spl0_14
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f116,f59,f138,f134]) ).
fof(f134,plain,
( spl0_13
<=> sk16 = sk14 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f132,plain,
( ~ spl0_12
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f127,f123,f129]) ).
fof(f129,plain,
( spl0_12
<=> closed(sk15) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f123,plain,
( spl0_11
<=> open(sk15) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f127,plain,
( ~ closed(sk15)
| ~ spl0_11 ),
inference(resolution,[],[f125,f98]) ).
fof(f125,plain,
( open(sk15)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f126,plain,
( spl0_10
| spl0_11
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f115,f54,f123,f119]) ).
fof(f119,plain,
( spl0_10
<=> sk15 = sk14 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f115,plain,
( open(sk15)
| sk15 = sk14
| ~ spl0_1 ),
inference(resolution,[],[f35,f56]) ).
fof(f112,plain,
( spl0_9
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f107,f69,f109]) ).
fof(f107,plain,
( incident_c(sk17,sk16)
| ~ spl0_4 ),
inference(resolution,[],[f25,f71]) ).
fof(f104,plain,
( spl0_8
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f99,f69,f101]) ).
fof(f99,plain,
( incident_c(sk17,sk15)
| ~ spl0_4 ),
inference(resolution,[],[f24,f71]) ).
fof(f90,plain,
( spl0_7
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f80,f64,f87]) ).
fof(f87,plain,
( spl0_7
<=> incident_c(sk17,sk14) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f80,plain,
( incident_c(sk17,sk14)
| ~ spl0_3 ),
inference(resolution,[],[f13,f66]) ).
fof(f85,plain,
( spl0_6
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f79,f64,f82]) ).
fof(f79,plain,
( open(sk14)
| ~ spl0_3 ),
inference(resolution,[],[f34,f66]) ).
fof(f78,plain,
( ~ spl0_5
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f73,f64,f75]) ).
fof(f73,plain,
( ~ closed(sk14)
| ~ spl0_3 ),
inference(resolution,[],[f31,f66]) ).
fof(f72,plain,
spl0_4,
inference(avatar_split_clause,[],[f49,f69]) ).
fof(f67,plain,
spl0_3,
inference(avatar_split_clause,[],[f52,f64]) ).
fof(f62,plain,
spl0_2,
inference(avatar_split_clause,[],[f51,f59]) ).
fof(f57,plain,
spl0_1,
inference(avatar_split_clause,[],[f50,f54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO094-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.36 % Computer : n005.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Wed Aug 30 18:05:53 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.23/0.42 % (6700)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (6772)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.23/0.43 % (6777)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.23/0.43 % (6781)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.23/0.43 % (6779)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.23/0.43 % (6782)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.23/0.43 % (6783)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.23/0.43 % (6784)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.23/0.43 TRYING [1]
% 0.23/0.43 TRYING [2]
% 0.23/0.43 TRYING [3]
% 0.23/0.44 TRYING [1]
% 0.23/0.45 TRYING [4]
% 0.23/0.45 TRYING [2]
% 0.23/0.48 TRYING [3]
% 0.23/0.49 TRYING [5]
% 0.23/0.50 TRYING [1]
% 0.23/0.50 TRYING [2]
% 0.23/0.51 TRYING [3]
% 0.23/0.52 TRYING [4]
% 0.23/0.54 % (6779)First to succeed.
% 0.23/0.54 % (6779)Refutation found. Thanks to Tanya!
% 0.23/0.54 % SZS status Unsatisfiable for Vampire---4
% 0.23/0.54 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.55 % (6779)------------------------------
% 0.23/0.55 % (6779)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.55 % (6779)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.55 % (6779)Termination reason: Refutation
% 0.23/0.55
% 0.23/0.55 % (6779)Memory used [KB]: 7036
% 0.23/0.55 % (6779)Time elapsed: 0.116 s
% 0.23/0.55 % (6779)------------------------------
% 0.23/0.55 % (6779)------------------------------
% 0.23/0.55 % (6700)Success in time 0.178 s
% 0.23/0.55 % Vampire---4.8 exiting
%------------------------------------------------------------------------------