TSTP Solution File: SET018-6 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET018-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n004.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 : Wed Aug 31 18:23:10 EDT 2022
% Result : Unsatisfiable 3.20s 0.77s
% Output : Refutation 3.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 36
% Syntax : Number of formulae : 145 ( 14 unt; 0 def)
% Number of atoms : 348 ( 54 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 380 ( 177 ~; 185 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 19 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 105 ( 105 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3031,plain,
$false,
inference(avatar_sat_refutation,[],[f162,f188,f431,f757,f766,f892,f1020,f1081,f1148,f1172,f1311,f1326,f1363,f1449,f2303,f2347,f2966,f3006,f3030]) ).
fof(f3030,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f3029]) ).
fof(f3029,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f158,f93]) ).
fof(f93,axiom,
member(x,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ordered_pair_determines_components2_2) ).
fof(f158,plain,
( ! [X8] : ~ member(x,X8)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f157,plain,
( spl0_1
<=> ! [X8] : ~ member(x,X8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f3006,plain,
( spl0_4
| ~ spl0_2
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f3005,f186,f160,f167]) ).
fof(f167,plain,
( spl0_4
<=> ! [X11] : ~ member(w,X11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f160,plain,
( spl0_2
<=> ! [X9] :
( ~ member(w,X9)
| member(y,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f186,plain,
( spl0_8
<=> ! [X7] : ~ member(y,X7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f3005,plain,
( ! [X9] : ~ member(w,X9)
| ~ spl0_2
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f161,f187]) ).
fof(f187,plain,
( ! [X7] : ~ member(y,X7)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f161,plain,
( ! [X9] :
( ~ member(w,X9)
| member(y,X9) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f2966,plain,
~ spl0_25,
inference(avatar_contradiction_clause,[],[f2965]) ).
fof(f2965,plain,
( $false
| ~ spl0_25 ),
inference(subsumption_resolution,[],[f2964,f2754]) ).
fof(f2754,plain,
( ! [X0,X1,X4] :
( ~ member(X4,X1)
| ~ member(X4,X0) )
| ~ spl0_25 ),
inference(subsumption_resolution,[],[f2538,f2617]) ).
fof(f2617,plain,
( ! [X4] : ~ member(X4,x)
| ~ spl0_25 ),
inference(subsumption_resolution,[],[f2537,f2547]) ).
fof(f2547,plain,
( ! [X0,X4] :
( ~ member(X4,x)
| ~ member(X4,X0) )
| ~ spl0_25 ),
inference(backward_demodulation,[],[f24,f2377]) ).
fof(f2377,plain,
( ! [X0] : x = X0
| ~ spl0_25 ),
inference(subsumption_resolution,[],[f2375,f94]) ).
fof(f94,axiom,
x != z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ordered_pair_determines_components2_3) ).
fof(f2375,plain,
( ! [X0] :
( x = X0
| x = z )
| ~ spl0_25 ),
inference(resolution,[],[f426,f8]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X2,unordered_pair(X0,X1))
| X0 = X2
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f426,plain,
( ! [X6] : member(x,unordered_pair(X6,z))
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f425,plain,
( spl0_25
<=> ! [X6] : member(x,unordered_pair(X6,z)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f2537,plain,
( ! [X1,X4] :
( ~ member(X4,x)
| member(X4,X1) )
| ~ spl0_25 ),
inference(backward_demodulation,[],[f22,f2377]) ).
fof(f22,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f2538,plain,
( ! [X0,X1,X4] :
( ~ member(X4,X0)
| member(X4,x)
| ~ member(X4,X1) )
| ~ spl0_25 ),
inference(backward_demodulation,[],[f23,f2377]) ).
fof(f23,axiom,
! [X0,X1,X4] :
( member(X4,intersection(X0,X1))
| ~ member(X4,X1)
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).
fof(f2964,plain,
( ! [X1] : member(x,X1)
| ~ spl0_25 ),
inference(subsumption_resolution,[],[f2376,f2768]) ).
fof(f2768,plain,
( ! [X0,X1] : subclass(X0,X1)
| ~ spl0_25 ),
inference(subsumption_resolution,[],[f2383,f2754]) ).
fof(f2383,plain,
( ! [X0,X1] :
( subclass(X0,X1)
| member(x,X0) )
| ~ spl0_25 ),
inference(backward_demodulation,[],[f2,f2377]) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f2376,plain,
( ! [X2,X1] :
( member(x,X1)
| ~ subclass(unordered_pair(X2,z),X1) )
| ~ spl0_25 ),
inference(resolution,[],[f426,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| member(X2,X1)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f2347,plain,
( spl0_4
| spl0_3 ),
inference(avatar_split_clause,[],[f1044,f164,f167]) ).
fof(f164,plain,
( spl0_3
<=> ! [X10] :
( member(z,X10)
| ~ member(x,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f1044,plain,
! [X0,X1] :
( member(z,X0)
| ~ member(x,X0)
| ~ member(w,X1) ),
inference(resolution,[],[f148,f120]) ).
fof(f120,plain,
! [X2,X3,X0,X1] :
( member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),cross_product(X0,X1))
| ~ member(X2,X0)
| ~ member(X3,X1) ),
inference(definition_unfolding,[],[f16,f103]) ).
fof(f103,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f13,f12,f12]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).
fof(f13,axiom,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pair) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( ~ member(X3,X1)
| member(ordered_pair(X2,X3),cross_product(X0,X1))
| ~ member(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product3) ).
fof(f148,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(w,w),unordered_pair(w,unordered_pair(x,x))),cross_product(X0,X1))
| member(z,X1) ),
inference(superposition,[],[f117,f107]) ).
fof(f107,plain,
unordered_pair(unordered_pair(y,y),unordered_pair(y,unordered_pair(z,z))) = unordered_pair(unordered_pair(w,w),unordered_pair(w,unordered_pair(x,x))),
inference(definition_unfolding,[],[f92,f103,f103]) ).
fof(f92,axiom,
ordered_pair(w,x) = ordered_pair(y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ordered_pair_determines_components2_1) ).
fof(f117,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),cross_product(X0,X1))
| member(X3,X1) ),
inference(definition_unfolding,[],[f15,f103]) ).
fof(f15,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X2,X3),cross_product(X0,X1))
| member(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product2) ).
fof(f2303,plain,
( ~ spl0_27
| ~ spl0_64
| spl0_71 ),
inference(avatar_contradiction_clause,[],[f2302]) ).
fof(f2302,plain,
( $false
| ~ spl0_27
| ~ spl0_64
| spl0_71 ),
inference(subsumption_resolution,[],[f2301,f1026]) ).
fof(f1026,plain,
( ~ member(y,unordered_pair(w,w))
| spl0_71 ),
inference(avatar_component_clause,[],[f1025]) ).
fof(f1025,plain,
( spl0_71
<=> member(y,unordered_pair(w,w)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f2301,plain,
( member(y,unordered_pair(w,w))
| ~ spl0_27
| ~ spl0_64 ),
inference(subsumption_resolution,[],[f2294,f434]) ).
fof(f434,plain,
( member(y,universal_class)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f433,plain,
( spl0_27
<=> member(y,universal_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f2294,plain,
( ~ member(y,universal_class)
| member(y,unordered_pair(w,w))
| ~ spl0_64 ),
inference(superposition,[],[f9,f765]) ).
fof(f765,plain,
( unordered_pair(w,w) = unordered_pair(y,unordered_pair(z,z))
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f763]) ).
fof(f763,plain,
( spl0_64
<=> unordered_pair(w,w) = unordered_pair(y,unordered_pair(z,z)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair2) ).
fof(f1449,plain,
( ~ spl0_62
| ~ spl0_64
| spl0_71
| ~ spl0_73 ),
inference(avatar_contradiction_clause,[],[f1448]) ).
fof(f1448,plain,
( $false
| ~ spl0_62
| ~ spl0_64
| spl0_71
| ~ spl0_73 ),
inference(subsumption_resolution,[],[f1445,f1198]) ).
fof(f1198,plain,
( ~ member(y,null_class)
| spl0_71
| ~ spl0_73 ),
inference(forward_demodulation,[],[f1026,f1076]) ).
fof(f1076,plain,
( null_class = unordered_pair(w,w)
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f1074]) ).
fof(f1074,plain,
( spl0_73
<=> null_class = unordered_pair(w,w) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f1445,plain,
( member(y,null_class)
| ~ spl0_62
| ~ spl0_64
| ~ spl0_73 ),
inference(backward_demodulation,[],[f1435,f1441]) ).
fof(f1441,plain,
( y = unordered_pair(z,z)
| ~ spl0_62
| ~ spl0_64
| ~ spl0_73 ),
inference(resolution,[],[f1435,f1193]) ).
fof(f1193,plain,
( ! [X18] :
( ~ member(X18,null_class)
| y = X18 )
| ~ spl0_62
| ~ spl0_73 ),
inference(forward_demodulation,[],[f969,f1076]) ).
fof(f969,plain,
( ! [X18] :
( ~ member(X18,unordered_pair(w,w))
| y = X18 )
| ~ spl0_62 ),
inference(duplicate_literal_removal,[],[f961]) ).
fof(f961,plain,
( ! [X18] :
( ~ member(X18,unordered_pair(w,w))
| y = X18
| y = X18 )
| ~ spl0_62 ),
inference(superposition,[],[f8,f756]) ).
fof(f756,plain,
( unordered_pair(y,y) = unordered_pair(w,w)
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f754]) ).
fof(f754,plain,
( spl0_62
<=> unordered_pair(y,y) = unordered_pair(w,w) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f1435,plain,
( member(unordered_pair(z,z),null_class)
| ~ spl0_64
| ~ spl0_73 ),
inference(subsumption_resolution,[],[f1429,f11]) ).
fof(f11,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pairs_in_universal) ).
fof(f1429,plain,
( ~ member(unordered_pair(z,z),universal_class)
| member(unordered_pair(z,z),null_class)
| ~ spl0_64
| ~ spl0_73 ),
inference(superposition,[],[f10,f1395]) ).
fof(f1395,plain,
( null_class = unordered_pair(y,unordered_pair(z,z))
| ~ spl0_64
| ~ spl0_73 ),
inference(forward_demodulation,[],[f765,f1076]) ).
fof(f10,axiom,
! [X0,X1] :
( member(X1,unordered_pair(X0,X1))
| ~ member(X1,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair3) ).
fof(f1363,plain,
~ spl0_83,
inference(avatar_contradiction_clause,[],[f1362]) ).
fof(f1362,plain,
( $false
| ~ spl0_83 ),
inference(subsumption_resolution,[],[f1361,f93]) ).
fof(f1361,plain,
( ~ member(x,universal_class)
| ~ spl0_83 ),
inference(subsumption_resolution,[],[f1352,f94]) ).
fof(f1352,plain,
( x = z
| ~ member(x,universal_class)
| ~ spl0_83 ),
inference(resolution,[],[f1348,f10]) ).
fof(f1348,plain,
( ! [X18] :
( ~ member(X18,unordered_pair(x,x))
| z = X18 )
| ~ spl0_83 ),
inference(duplicate_literal_removal,[],[f1340]) ).
fof(f1340,plain,
( ! [X18] :
( z = X18
| z = X18
| ~ member(X18,unordered_pair(x,x)) )
| ~ spl0_83 ),
inference(superposition,[],[f8,f1310]) ).
fof(f1310,plain,
( unordered_pair(x,x) = unordered_pair(z,z)
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f1308]) ).
fof(f1308,plain,
( spl0_83
<=> unordered_pair(x,x) = unordered_pair(z,z) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f1326,plain,
( ~ spl0_4
| ~ spl0_63
| ~ spl0_82 ),
inference(avatar_contradiction_clause,[],[f1325]) ).
fof(f1325,plain,
( $false
| ~ spl0_4
| ~ spl0_63
| ~ spl0_82 ),
inference(subsumption_resolution,[],[f1314,f168]) ).
fof(f168,plain,
( ! [X11] : ~ member(w,X11)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f1314,plain,
( member(w,unordered_pair(w,unordered_pair(x,x)))
| ~ spl0_63
| ~ spl0_82 ),
inference(backward_demodulation,[],[f1297,f1306]) ).
fof(f1306,plain,
( w = unordered_pair(z,z)
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f1304]) ).
fof(f1304,plain,
( spl0_82
<=> w = unordered_pair(z,z) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f1297,plain,
( member(unordered_pair(z,z),unordered_pair(w,unordered_pair(x,x)))
| ~ spl0_63 ),
inference(subsumption_resolution,[],[f1290,f11]) ).
fof(f1290,plain,
( member(unordered_pair(z,z),unordered_pair(w,unordered_pair(x,x)))
| ~ member(unordered_pair(z,z),universal_class)
| ~ spl0_63 ),
inference(superposition,[],[f10,f761]) ).
fof(f761,plain,
( unordered_pair(w,unordered_pair(x,x)) = unordered_pair(y,unordered_pair(z,z))
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f759]) ).
fof(f759,plain,
( spl0_63
<=> unordered_pair(w,unordered_pair(x,x)) = unordered_pair(y,unordered_pair(z,z)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f1311,plain,
( spl0_82
| spl0_83
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f1301,f759,f1308,f1304]) ).
fof(f1301,plain,
( unordered_pair(x,x) = unordered_pair(z,z)
| w = unordered_pair(z,z)
| ~ spl0_63 ),
inference(resolution,[],[f1297,f8]) ).
fof(f1172,plain,
( ~ spl0_4
| ~ spl0_71 ),
inference(avatar_contradiction_clause,[],[f1171]) ).
fof(f1171,plain,
( $false
| ~ spl0_4
| ~ spl0_71 ),
inference(subsumption_resolution,[],[f1161,f168]) ).
fof(f1161,plain,
( member(w,unordered_pair(w,w))
| ~ spl0_71 ),
inference(backward_demodulation,[],[f1027,f1151]) ).
fof(f1151,plain,
( w = y
| ~ spl0_71 ),
inference(duplicate_literal_removal,[],[f1149]) ).
fof(f1149,plain,
( w = y
| w = y
| ~ spl0_71 ),
inference(resolution,[],[f1027,f8]) ).
fof(f1027,plain,
( member(y,unordered_pair(w,w))
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f1025]) ).
fof(f1148,plain,
( spl0_71
| spl0_73
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f1147,f1078,f1074,f1025]) ).
fof(f1078,plain,
( spl0_74
<=> y = regular(unordered_pair(w,w)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f1147,plain,
( member(y,unordered_pair(w,w))
| spl0_73
| ~ spl0_74 ),
inference(subsumption_resolution,[],[f1144,f1075]) ).
fof(f1075,plain,
( null_class != unordered_pair(w,w)
| spl0_73 ),
inference(avatar_component_clause,[],[f1074]) ).
fof(f1144,plain,
( null_class = unordered_pair(w,w)
| member(y,unordered_pair(w,w))
| ~ spl0_74 ),
inference(superposition,[],[f66,f1080]) ).
fof(f1080,plain,
( y = regular(unordered_pair(w,w))
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f1078]) ).
fof(f66,axiom,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity1) ).
fof(f1081,plain,
( spl0_73
| spl0_74
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f1065,f754,f1078,f1074]) ).
fof(f1065,plain,
( y = regular(unordered_pair(w,w))
| null_class = unordered_pair(w,w)
| ~ spl0_62 ),
inference(resolution,[],[f969,f66]) ).
fof(f1020,plain,
( ~ spl0_3
| spl0_26 ),
inference(avatar_contradiction_clause,[],[f1019]) ).
fof(f1019,plain,
( $false
| ~ spl0_3
| spl0_26 ),
inference(subsumption_resolution,[],[f1015,f430]) ).
fof(f430,plain,
( ~ member(z,universal_class)
| spl0_26 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f428,plain,
( spl0_26
<=> member(z,universal_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f1015,plain,
( member(z,universal_class)
| ~ spl0_3 ),
inference(resolution,[],[f165,f93]) ).
fof(f165,plain,
( ! [X10] :
( ~ member(x,X10)
| member(z,X10) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f892,plain,
( spl0_27
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f883,f750,f433]) ).
fof(f750,plain,
( spl0_61
<=> unordered_pair(y,y) = unordered_pair(w,unordered_pair(x,x)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f883,plain,
( member(y,universal_class)
| ~ spl0_61 ),
inference(superposition,[],[f11,f826]) ).
fof(f826,plain,
( y = unordered_pair(x,x)
| ~ spl0_61 ),
inference(duplicate_literal_removal,[],[f824]) ).
fof(f824,plain,
( y = unordered_pair(x,x)
| y = unordered_pair(x,x)
| ~ spl0_61 ),
inference(resolution,[],[f822,f8]) ).
fof(f822,plain,
( member(unordered_pair(x,x),unordered_pair(y,y))
| ~ spl0_61 ),
inference(subsumption_resolution,[],[f815,f11]) ).
fof(f815,plain,
( ~ member(unordered_pair(x,x),universal_class)
| member(unordered_pair(x,x),unordered_pair(y,y))
| ~ spl0_61 ),
inference(superposition,[],[f10,f752]) ).
fof(f752,plain,
( unordered_pair(y,y) = unordered_pair(w,unordered_pair(x,x))
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f750]) ).
fof(f766,plain,
( spl0_63
| spl0_64 ),
inference(avatar_split_clause,[],[f742,f763,f759]) ).
fof(f742,plain,
( unordered_pair(w,w) = unordered_pair(y,unordered_pair(z,z))
| unordered_pair(w,unordered_pair(x,x)) = unordered_pair(y,unordered_pair(z,z)) ),
inference(resolution,[],[f8,f397]) ).
fof(f397,plain,
member(unordered_pair(y,unordered_pair(z,z)),unordered_pair(unordered_pair(w,w),unordered_pair(w,unordered_pair(x,x)))),
inference(subsumption_resolution,[],[f394,f11]) ).
fof(f394,plain,
( member(unordered_pair(y,unordered_pair(z,z)),unordered_pair(unordered_pair(w,w),unordered_pair(w,unordered_pair(x,x))))
| ~ member(unordered_pair(y,unordered_pair(z,z)),universal_class) ),
inference(superposition,[],[f10,f107]) ).
fof(f757,plain,
( spl0_61
| spl0_62 ),
inference(avatar_split_clause,[],[f741,f754,f750]) ).
fof(f741,plain,
( unordered_pair(y,y) = unordered_pair(w,w)
| unordered_pair(y,y) = unordered_pair(w,unordered_pair(x,x)) ),
inference(resolution,[],[f8,f387]) ).
fof(f387,plain,
member(unordered_pair(y,y),unordered_pair(unordered_pair(w,w),unordered_pair(w,unordered_pair(x,x)))),
inference(subsumption_resolution,[],[f385,f11]) ).
fof(f385,plain,
( ~ member(unordered_pair(y,y),universal_class)
| member(unordered_pair(y,y),unordered_pair(unordered_pair(w,w),unordered_pair(w,unordered_pair(x,x)))) ),
inference(superposition,[],[f9,f107]) ).
fof(f431,plain,
( spl0_25
| ~ spl0_26
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f393,f183,f428,f425]) ).
fof(f183,plain,
( spl0_7
<=> ! [X6] :
( member(x,X6)
| ~ member(z,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f393,plain,
( ! [X6] :
( ~ member(z,universal_class)
| member(x,unordered_pair(X6,z)) )
| ~ spl0_7 ),
inference(resolution,[],[f10,f184]) ).
fof(f184,plain,
( ! [X6] :
( ~ member(z,X6)
| member(x,X6) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f188,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f174,f186,f183]) ).
fof(f174,plain,
! [X6,X7] :
( ~ member(y,X7)
| member(x,X6)
| ~ member(z,X6) ),
inference(resolution,[],[f155,f117]) ).
fof(f155,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(w,w),unordered_pair(w,unordered_pair(x,x))),cross_product(X0,X1))
| ~ member(y,X0)
| ~ member(z,X1) ),
inference(superposition,[],[f120,f107]) ).
fof(f162,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f153,f160,f157]) ).
fof(f153,plain,
! [X8,X9] :
( ~ member(w,X9)
| member(y,X9)
| ~ member(x,X8) ),
inference(resolution,[],[f120,f149]) ).
fof(f149,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(w,w),unordered_pair(w,unordered_pair(x,x))),cross_product(X0,X1))
| member(y,X0) ),
inference(superposition,[],[f125,f107]) ).
fof(f125,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),cross_product(X0,X1))
| member(X2,X0) ),
inference(definition_unfolding,[],[f14,f103]) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( member(X2,X0)
| ~ member(ordered_pair(X2,X3),cross_product(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SET018-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.09/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.32 % Computer : n004.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Aug 30 12:51:04 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.17/0.46 % (3450)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.17/0.47 % (3451)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.17/0.47 % (3455)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.17/0.48 % (3447)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.17/0.48 % (3442)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.48 % (3443)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.17/0.48 % (3443)Instruction limit reached!
% 0.17/0.48 % (3443)------------------------------
% 0.17/0.48 % (3443)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.48 % (3463)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.17/0.49 % (3459)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.17/0.49 % (3443)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.49 % (3443)Termination reason: Unknown
% 0.17/0.49 % (3443)Termination phase: Function definition elimination
% 0.17/0.49
% 0.17/0.49 % (3443)Memory used [KB]: 1023
% 0.17/0.49 % (3443)Time elapsed: 0.004 s
% 0.17/0.49 % (3443)Instructions burned: 2 (million)
% 0.17/0.49 % (3443)------------------------------
% 0.17/0.49 % (3443)------------------------------
% 0.17/0.49 % (3458)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.17/0.49 % (3442)Instruction limit reached!
% 0.17/0.49 % (3442)------------------------------
% 0.17/0.49 % (3442)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.49 % (3442)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.49 % (3442)Termination reason: Unknown
% 0.17/0.49 % (3442)Termination phase: Saturation
% 0.17/0.49
% 0.17/0.49 % (3442)Memory used [KB]: 5500
% 0.17/0.49 % (3442)Time elapsed: 0.113 s
% 0.17/0.49 % (3442)Instructions burned: 7 (million)
% 0.17/0.49 % (3442)------------------------------
% 0.17/0.49 % (3442)------------------------------
% 0.17/0.52 % (3445)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.52 % (3435)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.17/0.52 % (3452)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.17/0.53 % (3441)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.53 % (3440)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.17/0.53 % (3460)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.17/0.53 % (3438)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.54 % (3461)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.17/0.54 % (3444)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.54 % (3439)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.54 % (3453)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.54 % (3449)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.17/0.54 % (3448)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.17/0.55 % (3457)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.17/0.55 % (3464)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.17/0.56 % (3456)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.17/0.59 % (3436)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.59 % (3437)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.17/0.60 % (3462)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.17/0.61 % (3441)Instruction limit reached!
% 0.17/0.61 % (3441)------------------------------
% 0.17/0.61 % (3441)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.61 % (3441)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.61 % (3441)Termination reason: Unknown
% 0.17/0.61 % (3441)Termination phase: Finite model building preprocessing
% 0.17/0.61
% 0.17/0.61 % (3441)Memory used [KB]: 1535
% 0.17/0.61 % (3441)Time elapsed: 0.029 s
% 0.17/0.61 % (3441)Instructions burned: 51 (million)
% 0.17/0.61 % (3441)------------------------------
% 0.17/0.61 % (3441)------------------------------
% 2.17/0.63 % (3454)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.17/0.63 % (3446)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.17/0.63 % (3450)Instruction limit reached!
% 2.17/0.63 % (3450)------------------------------
% 2.17/0.63 % (3450)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.63 % (3450)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.63 % (3450)Termination reason: Unknown
% 2.17/0.63 % (3450)Termination phase: Saturation
% 2.17/0.63
% 2.17/0.63 % (3450)Memory used [KB]: 2174
% 2.17/0.63 % (3450)Time elapsed: 0.234 s
% 2.17/0.63 % (3450)Instructions burned: 75 (million)
% 2.17/0.63 % (3450)------------------------------
% 2.17/0.63 % (3450)------------------------------
% 2.40/0.65 % (3438)Instruction limit reached!
% 2.40/0.65 % (3438)------------------------------
% 2.40/0.65 % (3438)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.40/0.65 % (3445)Instruction limit reached!
% 2.40/0.65 % (3445)------------------------------
% 2.40/0.65 % (3445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.40/0.65 % (3445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.40/0.65 % (3445)Termination reason: Unknown
% 2.40/0.65 % (3445)Termination phase: Saturation
% 2.40/0.65
% 2.40/0.65 % (3445)Memory used [KB]: 6652
% 2.40/0.65 % (3445)Time elapsed: 0.266 s
% 2.40/0.65 % (3445)Instructions burned: 51 (million)
% 2.40/0.65 % (3445)------------------------------
% 2.40/0.65 % (3445)------------------------------
% 2.40/0.65 % (3452)Instruction limit reached!
% 2.40/0.65 % (3452)------------------------------
% 2.40/0.65 % (3452)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.40/0.65 % (3452)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.40/0.65 % (3452)Termination reason: Unknown
% 2.40/0.65 % (3452)Termination phase: Finite model building preprocessing
% 2.40/0.65
% 2.40/0.65 % (3452)Memory used [KB]: 1535
% 2.40/0.65 % (3452)Time elapsed: 0.034 s
% 2.40/0.65 % (3452)Instructions burned: 60 (million)
% 2.40/0.65 % (3452)------------------------------
% 2.40/0.65 % (3452)------------------------------
% 2.58/0.66 % (3438)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.66 % (3440)Instruction limit reached!
% 2.58/0.66 % (3440)------------------------------
% 2.58/0.66 % (3440)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.66 % (3440)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.66 % (3440)Termination reason: Unknown
% 2.58/0.66 % (3440)Termination phase: Saturation
% 2.58/0.66
% 2.58/0.66 % (3440)Memory used [KB]: 6140
% 2.58/0.66 % (3440)Time elapsed: 0.258 s
% 2.58/0.66 % (3440)Instructions burned: 48 (million)
% 2.58/0.66 % (3440)------------------------------
% 2.58/0.66 % (3440)------------------------------
% 2.58/0.66 % (3438)Termination reason: Unknown
% 2.58/0.66 % (3438)Termination phase: Saturation
% 2.58/0.66
% 2.58/0.66 % (3438)Memory used [KB]: 6652
% 2.58/0.66 % (3438)Time elapsed: 0.245 s
% 2.58/0.66 % (3438)Instructions burned: 51 (million)
% 2.58/0.66 % (3438)------------------------------
% 2.58/0.66 % (3438)------------------------------
% 2.58/0.67 % (3451)Instruction limit reached!
% 2.58/0.67 % (3451)------------------------------
% 2.58/0.67 % (3451)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.68 % (3465)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.58/0.68 % (3447)Instruction limit reached!
% 2.58/0.68 % (3447)------------------------------
% 2.58/0.68 % (3447)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.68 % (3444)Instruction limit reached!
% 2.58/0.68 % (3444)------------------------------
% 2.58/0.68 % (3444)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.68 % (3444)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.68 % (3444)Termination reason: Unknown
% 2.58/0.68 % (3444)Termination phase: Saturation
% 2.58/0.68
% 2.58/0.68 % (3444)Memory used [KB]: 1791
% 2.58/0.68 % (3444)Time elapsed: 0.238 s
% 2.58/0.68 % (3444)Instructions burned: 52 (million)
% 2.58/0.68 % (3444)------------------------------
% 2.58/0.68 % (3444)------------------------------
% 2.58/0.68 % (3466)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 2.58/0.69 % (3439)Instruction limit reached!
% 2.58/0.69 % (3439)------------------------------
% 2.58/0.69 % (3439)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.69 % (3439)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.69 % (3439)Termination reason: Unknown
% 2.58/0.69 % (3439)Termination phase: Saturation
% 2.58/0.69
% 2.58/0.69 % (3439)Memory used [KB]: 6780
% 2.58/0.69 % (3439)Time elapsed: 0.288 s
% 2.58/0.69 % (3439)Instructions burned: 52 (million)
% 2.58/0.69 % (3439)------------------------------
% 2.58/0.69 % (3439)------------------------------
% 2.58/0.69 % (3449)Instruction limit reached!
% 2.58/0.69 % (3449)------------------------------
% 2.58/0.69 % (3449)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.69 % (3449)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.69 % (3449)Termination reason: Unknown
% 2.58/0.69 % (3449)Termination phase: Saturation
% 2.58/0.69
% 2.58/0.69 % (3449)Memory used [KB]: 7036
% 2.58/0.69 % (3449)Time elapsed: 0.051 s
% 2.58/0.69 % (3449)Instructions burned: 68 (million)
% 2.58/0.69 % (3449)------------------------------
% 2.58/0.69 % (3449)------------------------------
% 2.58/0.69 % (3451)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.69 % (3451)Termination reason: Unknown
% 2.58/0.69 % (3451)Termination phase: Saturation
% 2.58/0.69
% 2.58/0.69 % (3451)Memory used [KB]: 6908
% 2.58/0.69 % (3451)Time elapsed: 0.295 s
% 2.58/0.69 % (3451)Instructions burned: 99 (million)
% 2.58/0.69 % (3451)------------------------------
% 2.58/0.69 % (3451)------------------------------
% 2.58/0.70 % (3447)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.70 % (3447)Termination reason: Unknown
% 2.58/0.70 % (3447)Termination phase: Saturation
% 2.58/0.70
% 2.58/0.70 % (3447)Memory used [KB]: 7164
% 2.58/0.70 % (3447)Time elapsed: 0.291 s
% 2.58/0.70 % (3447)Instructions burned: 101 (million)
% 2.58/0.70 % (3447)------------------------------
% 2.58/0.70 % (3447)------------------------------
% 2.58/0.70 % (3437)Instruction limit reached!
% 2.58/0.70 % (3437)------------------------------
% 2.58/0.70 % (3437)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.70 % (3437)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.70 % (3437)Termination reason: Unknown
% 2.58/0.70 % (3437)Termination phase: Saturation
% 2.58/0.70
% 2.58/0.70 % (3437)Memory used [KB]: 1918
% 2.58/0.70 % (3437)Time elapsed: 0.273 s
% 2.58/0.70 % (3437)Instructions burned: 37 (million)
% 2.58/0.70 % (3437)------------------------------
% 2.58/0.70 % (3437)------------------------------
% 2.98/0.72 % (3436)Instruction limit reached!
% 2.98/0.72 % (3436)------------------------------
% 2.98/0.72 % (3436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.98/0.72 % (3436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.98/0.72 % (3436)Termination reason: Unknown
% 2.98/0.72 % (3436)Termination phase: Saturation
% 2.98/0.72
% 2.98/0.72 % (3436)Memory used [KB]: 6908
% 2.98/0.72 % (3436)Time elapsed: 0.328 s
% 2.98/0.72 % (3436)Instructions burned: 51 (million)
% 2.98/0.72 % (3436)------------------------------
% 2.98/0.72 % (3436)------------------------------
% 2.98/0.73 % (3461)Instruction limit reached!
% 2.98/0.73 % (3461)------------------------------
% 2.98/0.73 % (3461)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.98/0.73 % (3461)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.98/0.73 % (3461)Termination reason: Unknown
% 2.98/0.73 % (3461)Termination phase: Saturation
% 2.98/0.73
% 2.98/0.73 % (3461)Memory used [KB]: 7164
% 2.98/0.73 % (3461)Time elapsed: 0.054 s
% 2.98/0.73 % (3461)Instructions burned: 68 (million)
% 2.98/0.73 % (3461)------------------------------
% 2.98/0.73 % (3461)------------------------------
% 3.20/0.76 % (3455)First to succeed.
% 3.20/0.77 % (3455)Refutation found. Thanks to Tanya!
% 3.20/0.77 % SZS status Unsatisfiable for theBenchmark
% 3.20/0.77 % SZS output start Proof for theBenchmark
% See solution above
% 3.20/0.77 % (3455)------------------------------
% 3.20/0.77 % (3455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.20/0.77 % (3455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.20/0.77 % (3455)Termination reason: Refutation
% 3.20/0.77
% 3.20/0.77 % (3455)Memory used [KB]: 7291
% 3.20/0.77 % (3455)Time elapsed: 0.370 s
% 3.20/0.77 % (3455)Instructions burned: 158 (million)
% 3.20/0.77 % (3455)------------------------------
% 3.20/0.77 % (3455)------------------------------
% 3.20/0.77 % (3434)Success in time 0.437 s
%------------------------------------------------------------------------------