%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET018-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:39:36 PM UTC 2026
% Result : Unsatisfiable 6.80s 1.98s
% Output : Refutation 8.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 35
% Syntax : Number of formulae : 194 ( 59 unt; 26 def)
% Number of atoms : 449 ( 96 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 464 ( 209 ~; 237 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 19 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 13 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_member) ).
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(f10,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X1,X0))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair3) ).
fof(f11,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pairs_in_universal) ).
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(f101,negated_conjecture,
ordered_pair(w,x) = ordered_pair(y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ordered_pair_determines_components2_1) ).
fof(f102,negated_conjecture,
member(x,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ordered_pair_determines_components2_2) ).
fof(f103,negated_conjecture,
x != z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ordered_pair_determines_components2_3) ).
fof(f108,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(f152,plain,
unordered_pair(unordered_pair(w,w),unordered_pair(w,unordered_pair(x,x))) = unordered_pair(unordered_pair(y,y),unordered_pair(y,unordered_pair(z,z))),
inference(definition_unfolding,[],[f101,f108,f108]) ).
fof(f156,definition,
sF0 = unordered_pair(w,w),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f157,plain,
unordered_pair(w,w) = sF0,
inference(reorient_equations,[],[f156]) ).
fof(f158,definition,
sF1 = unordered_pair(x,x),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f159,plain,
unordered_pair(x,x) = sF1,
inference(reorient_equations,[],[f158]) ).
fof(f160,definition,
sF2 = unordered_pair(w,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f161,plain,
unordered_pair(w,sF1) = sF2,
inference(reorient_equations,[],[f160]) ).
fof(f162,definition,
sF3 = unordered_pair(sF0,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f163,plain,
unordered_pair(sF0,sF2) = sF3,
inference(reorient_equations,[],[f162]) ).
fof(f164,definition,
sF4 = unordered_pair(y,y),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f165,plain,
unordered_pair(y,y) = sF4,
inference(reorient_equations,[],[f164]) ).
fof(f166,definition,
sF5 = unordered_pair(z,z),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f167,plain,
unordered_pair(z,z) = sF5,
inference(reorient_equations,[],[f166]) ).
fof(f168,definition,
sF6 = unordered_pair(y,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f169,plain,
unordered_pair(y,sF5) = sF6,
inference(reorient_equations,[],[f168]) ).
fof(f170,definition,
sF7 = unordered_pair(sF4,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f171,plain,
unordered_pair(sF4,sF6) = sF7,
inference(reorient_equations,[],[f170]) ).
fof(f172,plain,
sF3 = sF7,
inference(definition_folding,[],[f152,f171,f169,f167,f165,f163,f161,f159,f157]) ).
fof(f173,plain,
sF3 = unordered_pair(sF4,sF6),
inference(forward_demodulation,[],[f171,f172]) ).
fof(f174,plain,
! [X0] :
( ~ member(X0,sF0)
| w = X0
| w = X0 ),
inference(superposition,[],[f8,f157]) ).
fof(f175,plain,
! [X0] :
( ~ member(X0,sF2)
| w = X0
| sF1 = X0 ),
inference(superposition,[],[f8,f161]) ).
fof(f177,plain,
! [X0] :
( ~ member(X0,sF4)
| y = X0
| y = X0 ),
inference(superposition,[],[f8,f165]) ).
fof(f178,plain,
! [X0] :
( ~ member(X0,sF6)
| y = X0
| sF5 = X0 ),
inference(superposition,[],[f8,f169]) ).
fof(f179,plain,
! [X0] :
( ~ member(X0,sF5)
| z = X0
| z = X0 ),
inference(superposition,[],[f8,f167]) ).
fof(f180,plain,
! [X0] :
( ~ member(X0,sF3)
| sF0 = X0
| sF2 = X0 ),
inference(superposition,[],[f8,f163]) ).
fof(f181,plain,
! [X0] :
( ~ member(X0,sF3)
| sF4 = X0
| sF6 = X0 ),
inference(superposition,[],[f8,f173]) ).
fof(f182,plain,
! [X0] :
( ~ member(X0,sF5)
| z = X0 ),
inference(duplicate_literal_removal,[],[f179]) ).
fof(f183,plain,
! [X0] :
( ~ member(X0,sF4)
| y = X0 ),
inference(duplicate_literal_removal,[],[f177]) ).
fof(f185,plain,
! [X0] :
( ~ member(X0,sF0)
| w = X0 ),
inference(duplicate_literal_removal,[],[f174]) ).
fof(f189,plain,
( member(x,sF1)
| ~ member(x,universal_class) ),
inference(superposition,[],[f9,f159]) ).
fof(f193,plain,
( member(sF0,sF3)
| ~ member(sF0,universal_class) ),
inference(superposition,[],[f9,f163]) ).
fof(f194,plain,
( member(sF4,sF3)
| ~ member(sF4,universal_class) ),
inference(superposition,[],[f9,f173]) ).
fof(f196,definition,
( spl8_1
<=> member(sF4,universal_class) ),
introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition]) ).
fof(f198,plain,
( ~ member(sF4,universal_class)
| spl8_1 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f200,definition,
( spl8_2
<=> member(sF4,sF3) ),
introduced(definition,[new_symbols(definition,[spl8_2])],[avatar_definition]) ).
fof(f202,plain,
( member(sF4,sF3)
| ~ spl8_2 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f203,plain,
( ~ spl8_1
| spl8_2 ),
inference(avatar_split_clause,[],[f194,f200,f196]) ).
fof(f205,definition,
( spl8_3
<=> member(sF0,universal_class) ),
introduced(definition,[new_symbols(definition,[spl8_3])],[avatar_definition]) ).
fof(f207,plain,
( ~ member(sF0,universal_class)
| spl8_3 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f209,definition,
( spl8_4
<=> member(sF0,sF3) ),
introduced(definition,[new_symbols(definition,[spl8_4])],[avatar_definition]) ).
fof(f211,plain,
( member(sF0,sF3)
| ~ spl8_4 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f212,plain,
( ~ spl8_3
| spl8_4 ),
inference(avatar_split_clause,[],[f193,f209,f205]) ).
fof(f236,plain,
member(x,sF1),
inference(forward_subsumption_resolution,[],[f189,f102]) ).
fof(f253,plain,
( member(sF1,sF2)
| ~ member(sF1,universal_class) ),
inference(superposition,[],[f10,f161]) ).
fof(f256,plain,
( member(sF5,sF6)
| ~ member(sF5,universal_class) ),
inference(superposition,[],[f10,f169]) ).
fof(f258,plain,
( member(sF2,sF3)
| ~ member(sF2,universal_class) ),
inference(superposition,[],[f10,f163]) ).
fof(f259,plain,
( member(sF6,sF3)
| ~ member(sF6,universal_class) ),
inference(superposition,[],[f10,f173]) ).
fof(f261,definition,
( spl8_13
<=> member(sF6,universal_class) ),
introduced(definition,[new_symbols(definition,[spl8_13])],[avatar_definition]) ).
fof(f263,plain,
( ~ member(sF6,universal_class)
| spl8_13 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f265,definition,
( spl8_14
<=> member(sF6,sF3) ),
introduced(definition,[new_symbols(definition,[spl8_14])],[avatar_definition]) ).
fof(f267,plain,
( member(sF6,sF3)
| ~ spl8_14 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f268,plain,
( ~ spl8_13
| spl8_14 ),
inference(avatar_split_clause,[],[f259,f265,f261]) ).
fof(f270,definition,
( spl8_15
<=> member(sF2,universal_class) ),
introduced(definition,[new_symbols(definition,[spl8_15])],[avatar_definition]) ).
fof(f272,plain,
( ~ member(sF2,universal_class)
| spl8_15 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f274,definition,
( spl8_16
<=> member(sF2,sF3) ),
introduced(definition,[new_symbols(definition,[spl8_16])],[avatar_definition]) ).
fof(f276,plain,
( member(sF2,sF3)
| ~ spl8_16 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f277,plain,
( ~ spl8_15
| spl8_16 ),
inference(avatar_split_clause,[],[f258,f274,f270]) ).
fof(f279,definition,
( spl8_17
<=> member(sF5,universal_class) ),
introduced(definition,[new_symbols(definition,[spl8_17])],[avatar_definition]) ).
fof(f280,plain,
( member(sF5,universal_class)
| ~ spl8_17 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f281,plain,
( ~ member(sF5,universal_class)
| spl8_17 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f283,definition,
( spl8_18
<=> member(sF5,sF6) ),
introduced(definition,[new_symbols(definition,[spl8_18])],[avatar_definition]) ).
fof(f285,plain,
( member(sF5,sF6)
| ~ spl8_18 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f286,plain,
( ~ spl8_17
| spl8_18 ),
inference(avatar_split_clause,[],[f256,f283,f279]) ).
fof(f288,definition,
( spl8_19
<=> member(sF1,universal_class) ),
introduced(definition,[new_symbols(definition,[spl8_19])],[avatar_definition]) ).
fof(f290,plain,
( ~ member(sF1,universal_class)
| spl8_19 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f292,definition,
( spl8_20
<=> member(sF1,sF2) ),
introduced(definition,[new_symbols(definition,[spl8_20])],[avatar_definition]) ).
fof(f294,plain,
( member(sF1,sF2)
| ~ spl8_20 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f295,plain,
( ~ spl8_19
| spl8_20 ),
inference(avatar_split_clause,[],[f253,f292,f288]) ).
fof(f348,plain,
member(sF0,universal_class),
inference(superposition,[],[f11,f157]) ).
fof(f349,plain,
member(sF2,universal_class),
inference(superposition,[],[f11,f161]) ).
fof(f350,plain,
member(sF1,universal_class),
inference(superposition,[],[f11,f159]) ).
fof(f351,plain,
member(sF4,universal_class),
inference(superposition,[],[f11,f165]) ).
fof(f352,plain,
member(sF6,universal_class),
inference(superposition,[],[f11,f169]) ).
fof(f353,plain,
member(sF5,universal_class),
inference(superposition,[],[f11,f167]) ).
fof(f356,plain,
( $false
| spl8_17 ),
inference(forward_subsumption_resolution,[],[f353,f281]) ).
fof(f357,plain,
spl8_17,
inference(avatar_contradiction_clause,[],[f356]) ).
fof(f358,plain,
( $false
| spl8_13 ),
inference(forward_subsumption_resolution,[],[f352,f263]) ).
fof(f359,plain,
spl8_13,
inference(avatar_contradiction_clause,[],[f358]) ).
fof(f360,plain,
( $false
| spl8_1 ),
inference(forward_subsumption_resolution,[],[f351,f198]) ).
fof(f361,plain,
spl8_1,
inference(avatar_contradiction_clause,[],[f360]) ).
fof(f362,plain,
( $false
| spl8_19 ),
inference(forward_subsumption_resolution,[],[f350,f290]) ).
fof(f363,plain,
spl8_19,
inference(avatar_contradiction_clause,[],[f362]) ).
fof(f364,plain,
( $false
| spl8_15 ),
inference(forward_subsumption_resolution,[],[f349,f272]) ).
fof(f365,plain,
spl8_15,
inference(avatar_contradiction_clause,[],[f364]) ).
fof(f366,plain,
( $false
| spl8_3 ),
inference(forward_subsumption_resolution,[],[f348,f207]) ).
fof(f367,plain,
spl8_3,
inference(avatar_contradiction_clause,[],[f366]) ).
fof(f368,plain,
( sF0 = sF4
| sF2 = sF4
| ~ spl8_2 ),
inference(resolution,[],[f202,f180]) ).
fof(f372,definition,
( spl8_21
<=> sF2 = sF4 ),
introduced(definition,[new_symbols(definition,[spl8_21])],[avatar_definition]) ).
fof(f373,plain,
( sF2 != sF4
| spl8_21 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f374,plain,
( sF2 = sF4
| ~ spl8_21 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f376,definition,
( spl8_22
<=> sF0 = sF4 ),
introduced(definition,[new_symbols(definition,[spl8_22])],[avatar_definition]) ).
fof(f378,plain,
( sF0 = sF4
| ~ spl8_22 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f379,plain,
( spl8_21
| spl8_22
| ~ spl8_2 ),
inference(avatar_split_clause,[],[f368,f200,f376,f372]) ).
fof(f381,plain,
( ! [X0] :
( ~ member(X0,sF2)
| y = X0 )
| ~ spl8_21 ),
inference(superposition,[],[f183,f374]) ).
fof(f383,plain,
( sF0 = sF6
| sF2 = sF6
| ~ spl8_14 ),
inference(resolution,[],[f267,f180]) ).
fof(f387,definition,
( spl8_23
<=> sF2 = sF6 ),
introduced(definition,[new_symbols(definition,[spl8_23])],[avatar_definition]) ).
fof(f389,plain,
( sF2 = sF6
| ~ spl8_23 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f391,definition,
( spl8_24
<=> sF0 = sF6 ),
introduced(definition,[new_symbols(definition,[spl8_24])],[avatar_definition]) ).
fof(f393,plain,
( sF0 = sF6
| ~ spl8_24 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f394,plain,
( spl8_23
| spl8_24
| ~ spl8_14 ),
inference(avatar_split_clause,[],[f383,f265,f391,f387]) ).
fof(f408,plain,
( sF0 = sF4
| sF0 = sF6
| ~ spl8_4 ),
inference(resolution,[],[f211,f181]) ).
fof(f410,plain,
( sF0 = sF2
| sF0 = sF6
| ~ spl8_4
| ~ spl8_21 ),
inference(forward_demodulation,[],[f408,f374]) ).
fof(f411,plain,
( sF0 = sF2
| sF0 = sF2
| ~ spl8_4
| ~ spl8_21
| ~ spl8_23 ),
inference(forward_demodulation,[],[f410,f389]) ).
fof(f412,plain,
( sF0 = sF2
| ~ spl8_4
| ~ spl8_21
| ~ spl8_23 ),
inference(duplicate_literal_removal,[],[f411]) ).
fof(f413,plain,
( ! [X0] :
( ~ member(X0,sF0)
| y = X0 )
| ~ spl8_4
| ~ spl8_21
| ~ spl8_23 ),
inference(superposition,[],[f381,f412]) ).
fof(f419,plain,
( member(sF5,sF2)
| ~ spl8_18
| ~ spl8_23 ),
inference(superposition,[],[f285,f389]) ).
fof(f420,plain,
( member(sF5,sF0)
| ~ spl8_4
| ~ spl8_18
| ~ spl8_21
| ~ spl8_23 ),
inference(forward_demodulation,[],[f419,f412]) ).
fof(f423,plain,
( y = sF1
| ~ spl8_20
| ~ spl8_21 ),
inference(resolution,[],[f294,f381]) ).
fof(f434,plain,
( y = sF5
| ~ spl8_4
| ~ spl8_18
| ~ spl8_21
| ~ spl8_23 ),
inference(resolution,[],[f420,f413]) ).
fof(f437,plain,
( sF1 = sF5
| ~ spl8_4
| ~ spl8_18
| ~ spl8_20
| ~ spl8_21
| ~ spl8_23 ),
inference(forward_demodulation,[],[f434,f423]) ).
fof(f446,plain,
( ! [X0] :
( ~ member(X0,sF1)
| z = X0 )
| ~ spl8_4
| ~ spl8_18
| ~ spl8_20
| ~ spl8_21
| ~ spl8_23 ),
inference(superposition,[],[f182,f437]) ).
fof(f453,plain,
( x = z
| ~ spl8_4
| ~ spl8_18
| ~ spl8_20
| ~ spl8_21
| ~ spl8_23 ),
inference(resolution,[],[f446,f236]) ).
fof(f454,plain,
( $false
| ~ spl8_4
| ~ spl8_18
| ~ spl8_20
| ~ spl8_21
| ~ spl8_23 ),
inference(forward_subsumption_resolution,[],[f453,f103]) ).
fof(f455,plain,
( ~ spl8_4
| ~ spl8_18
| ~ spl8_20
| ~ spl8_21
| ~ spl8_23 ),
inference(avatar_contradiction_clause,[],[f454]) ).
fof(f463,plain,
( w = sF5
| sF1 = sF5
| ~ spl8_18
| ~ spl8_23 ),
inference(resolution,[],[f419,f175]) ).
fof(f466,definition,
( spl8_25
<=> sF1 = sF5 ),
introduced(definition,[new_symbols(definition,[spl8_25])],[avatar_definition]) ).
fof(f467,plain,
( sF1 != sF5
| spl8_25 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f468,plain,
( sF1 = sF5
| ~ spl8_25 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f470,definition,
( spl8_26
<=> w = sF5 ),
introduced(definition,[new_symbols(definition,[spl8_26])],[avatar_definition]) ).
fof(f472,plain,
( w = sF5
| ~ spl8_26 ),
inference(avatar_component_clause,[],[f470]) ).
fof(f473,plain,
( spl8_25
| spl8_26
| ~ spl8_18
| ~ spl8_23 ),
inference(avatar_split_clause,[],[f463,f387,f283,f470,f466]) ).
fof(f477,plain,
( member(sF5,sF0)
| ~ spl8_18
| ~ spl8_24 ),
inference(superposition,[],[f285,f393]) ).
fof(f483,plain,
( w = sF5
| ~ spl8_18
| ~ spl8_24 ),
inference(resolution,[],[f477,f185]) ).
fof(f485,plain,
( spl8_26
| ~ spl8_18
| ~ spl8_24 ),
inference(avatar_split_clause,[],[f483,f391,f283,f470]) ).
fof(f500,plain,
( ! [X0] :
( ~ member(X0,sF1)
| z = X0 )
| ~ spl8_25 ),
inference(superposition,[],[f182,f468]) ).
fof(f511,plain,
( x = z
| ~ spl8_25 ),
inference(resolution,[],[f500,f236]) ).
fof(f512,plain,
( $false
| ~ spl8_25 ),
inference(forward_subsumption_resolution,[],[f511,f103]) ).
fof(f513,plain,
~ spl8_25,
inference(avatar_contradiction_clause,[],[f512]) ).
fof(f523,plain,
( sF2 = unordered_pair(sF5,sF1)
| ~ spl8_26 ),
inference(superposition,[],[f161,f472]) ).
fof(f524,plain,
( sF0 = unordered_pair(sF5,sF5)
| ~ spl8_26 ),
inference(superposition,[],[f157,f472]) ).
fof(f534,plain,
( member(sF5,sF2)
| ~ member(sF5,universal_class)
| ~ spl8_26 ),
inference(superposition,[],[f9,f523]) ).
fof(f536,plain,
( member(sF5,sF2)
| ~ spl8_17
| ~ spl8_26 ),
inference(forward_subsumption_resolution,[],[f534,f280]) ).
fof(f539,plain,
( member(sF5,sF0)
| ~ member(sF5,universal_class)
| ~ spl8_26 ),
inference(superposition,[],[f9,f524]) ).
fof(f553,plain,
( sF2 = sF4
| sF2 = sF6
| ~ spl8_16 ),
inference(resolution,[],[f276,f181]) ).
fof(f555,plain,
( sF2 = sF6
| ~ spl8_16
| spl8_21 ),
inference(forward_subsumption_resolution,[],[f553,f373]) ).
fof(f569,plain,
( ! [X0] :
( ~ member(X0,sF2)
| y = X0 )
| ~ spl8_21 ),
inference(superposition,[],[f183,f374]) ).
fof(f572,plain,
( ! [X0] :
( ~ member(X0,sF2)
| sF1 = X0 )
| ~ spl8_20
| ~ spl8_21 ),
inference(forward_demodulation,[],[f569,f423]) ).
fof(f579,plain,
( sF1 = sF5
| ~ spl8_17
| ~ spl8_20
| ~ spl8_21
| ~ spl8_26 ),
inference(resolution,[],[f572,f536]) ).
fof(f580,plain,
( $false
| ~ spl8_17
| ~ spl8_20
| ~ spl8_21
| spl8_25
| ~ spl8_26 ),
inference(forward_subsumption_resolution,[],[f579,f467]) ).
fof(f581,plain,
( ~ spl8_17
| ~ spl8_20
| ~ spl8_21
| spl8_25
| ~ spl8_26 ),
inference(avatar_contradiction_clause,[],[f580]) ).
fof(f582,plain,
( spl8_23
| ~ spl8_16
| spl8_21 ),
inference(avatar_split_clause,[],[f555,f372,f274,f387]) ).
fof(f586,plain,
( member(sF5,sF0)
| ~ spl8_17
| ~ spl8_26 ),
inference(forward_subsumption_resolution,[],[f539,f280]) ).
fof(f590,plain,
( ! [X0] :
( ~ member(X0,sF0)
| y = X0 )
| ~ spl8_22 ),
inference(superposition,[],[f183,f378]) ).
fof(f596,plain,
( ! [X0] :
( ~ member(X0,sF2)
| y = X0
| sF5 = X0 )
| ~ spl8_23 ),
inference(superposition,[],[f178,f389]) ).
fof(f600,plain,
( y = sF1
| sF1 = sF5
| ~ spl8_20
| ~ spl8_23 ),
inference(resolution,[],[f596,f294]) ).
fof(f602,plain,
( y = sF1
| ~ spl8_20
| ~ spl8_23
| spl8_25 ),
inference(forward_subsumption_resolution,[],[f600,f467]) ).
fof(f610,plain,
( y = sF5
| ~ spl8_17
| ~ spl8_22
| ~ spl8_26 ),
inference(resolution,[],[f586,f590]) ).
fof(f614,plain,
( sF1 = sF5
| ~ spl8_17
| ~ spl8_20
| ~ spl8_22
| ~ spl8_23
| spl8_25
| ~ spl8_26 ),
inference(forward_demodulation,[],[f610,f602]) ).
fof(f615,plain,
( $false
| ~ spl8_17
| ~ spl8_20
| ~ spl8_22
| ~ spl8_23
| spl8_25
| ~ spl8_26 ),
inference(forward_subsumption_resolution,[],[f614,f467]) ).
fof(f616,plain,
( ~ spl8_17
| ~ spl8_20
| ~ spl8_22
| ~ spl8_23
| spl8_25
| ~ spl8_26 ),
inference(avatar_contradiction_clause,[],[f615]) ).
cnf(s1,plain,
( ~ spl8_1
| spl8_2 ),
inference(sat_conversion,[],[f203]) ).
cnf(s2,plain,
( ~ spl8_3
| spl8_4 ),
inference(sat_conversion,[],[f212]) ).
cnf(s8,plain,
( ~ spl8_13
| spl8_14 ),
inference(sat_conversion,[],[f268]) ).
cnf(s9,plain,
( ~ spl8_15
| spl8_16 ),
inference(sat_conversion,[],[f277]) ).
cnf(s10,plain,
( ~ spl8_17
| spl8_18 ),
inference(sat_conversion,[],[f286]) ).
cnf(s11,plain,
( ~ spl8_19
| spl8_20 ),
inference(sat_conversion,[],[f295]) ).
cnf(s12,plain,
spl8_17,
inference(sat_conversion,[],[f357]) ).
cnf(s13,plain,
spl8_13,
inference(sat_conversion,[],[f359]) ).
cnf(s14,plain,
spl8_1,
inference(sat_conversion,[],[f361]) ).
cnf(s15,plain,
spl8_19,
inference(sat_conversion,[],[f363]) ).
cnf(s16,plain,
spl8_15,
inference(sat_conversion,[],[f365]) ).
cnf(s17,plain,
spl8_3,
inference(sat_conversion,[],[f367]) ).
cnf(s18,plain,
( ~ spl8_2
| spl8_21
| spl8_22 ),
inference(sat_conversion,[],[f379]) ).
cnf(s19,plain,
( ~ spl8_14
| spl8_23
| spl8_24 ),
inference(sat_conversion,[],[f394]) ).
cnf(s20,plain,
( ~ spl8_4
| ~ spl8_18
| ~ spl8_20
| ~ spl8_21
| ~ spl8_23 ),
inference(sat_conversion,[],[f455]) ).
cnf(s21,plain,
( ~ spl8_18
| ~ spl8_23
| spl8_25
| spl8_26 ),
inference(sat_conversion,[],[f473]) ).
cnf(s22,plain,
( ~ spl8_18
| ~ spl8_24
| spl8_26 ),
inference(sat_conversion,[],[f485]) ).
cnf(s23,plain,
~ spl8_25,
inference(sat_conversion,[],[f513]) ).
cnf(s28,plain,
( ~ spl8_17
| ~ spl8_20
| ~ spl8_21
| spl8_25
| ~ spl8_26 ),
inference(sat_conversion,[],[f581]) ).
cnf(s29,plain,
( ~ spl8_16
| spl8_21
| spl8_23 ),
inference(sat_conversion,[],[f582]) ).
cnf(s30,plain,
( ~ spl8_17
| ~ spl8_20
| ~ spl8_22
| ~ spl8_23
| spl8_25
| ~ spl8_26 ),
inference(sat_conversion,[],[f616]) ).
cnf(s31,plain,
( ~ spl8_18
| ~ spl8_23
| spl8_26 ),
inference(rat,[],[s21,s23]) ).
cnf(s32,plain,
spl8_20,
inference(rat,[],[s11,s15]) ).
cnf(s33,plain,
spl8_18,
inference(rat,[],[s10,s12]) ).
cnf(s34,plain,
spl8_16,
inference(rat,[],[s9,s16]) ).
cnf(s35,plain,
spl8_14,
inference(rat,[],[s8,s13]) ).
cnf(s36,plain,
spl8_4,
inference(rat,[],[s2,s17]) ).
cnf(s37,plain,
spl8_2,
inference(rat,[],[s1,s14]) ).
cnf(s38,plain,
spl8_21,
inference(rat,[],[s30,s31,s18,s29,s12,s32,s23,s33,s37,s34]) ).
cnf(s39,plain,
~ spl8_26,
inference(rat,[],[s28,s32,s23,s12,s38]) ).
cnf(s40,plain,
~ spl8_23,
inference(rat,[],[s20,s36,s33,s32,s38]) ).
cnf(s41,plain,
~ spl8_24,
inference(rat,[],[s22,s33,s39]) ).
cnf(s42,plain,
$false,
inference(rat,[],[s19,s35,s41,s40]) ).
fof(f617,plain,
$false,
inference(avatar_sat_refutation,[],[s42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET018-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n002.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 00:11:06 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.80/1.98 % (4036042)Input is clausal, will run a generic CNF schedule.
% 6.80/1.98 % (4036048)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2775158258:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.80/1.98 % (4036047)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=4094103604:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.80/1.98 % (4036049)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2885597828:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.80/1.98 % (4036052)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=454008916:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.80/1.98 % (4036050)lrs+10_1_sil=8000:sp=occurrence:random_seed=2973003298:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.80/1.98 % (4036051)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2084759911:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.80/1.98 % (4036053)dis-21_1_sil=8000:lcm=predicate:random_seed=4180452996:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 6.80/1.98 % (4036050)Refutation not found, incomplete strategy
% 6.80/1.98 % (4036050)------------------------------
% 6.80/1.98 % (4036050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.98 % (4036050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.98 % (4036050)CaDiCaL version: 2.1.3
% 6.80/1.98 % (4036050)Termination reason: Refutation not found, incomplete strategy
% 6.80/1.98 % (4036050)Time elapsed: 0.002 s
% 6.80/1.98 % (4036050)Peak memory usage: 88 MB
% 6.80/1.98 % (4036050)Instructions burned: 1 (million)
% 6.80/1.98 % (4036051)Instruction limit reached!
% 6.80/1.98 % (4036051)------------------------------
% 6.80/1.98 % (4036051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.98 % (4036051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.98 % (4036051)CaDiCaL version: 2.1.3
% 6.80/1.98 % (4036051)Termination reason: Instruction limit
% 6.80/1.98 % (4036051)Termination phase: Saturation
% 6.80/1.98 % (4036051)Time elapsed: 0.046 s
% 6.80/1.98 % (4036051)Peak memory usage: 88 MB
% 6.80/1.98 % (4036051)Instructions burned: 114 (million)
% 6.80/1.98 % (4036053)Instruction limit reached!
% 6.80/1.98 % (4036053)------------------------------
% 6.80/1.98 % (4036053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.98 % (4036053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.98 % (4036053)CaDiCaL version: 2.1.3
% 6.80/1.98 % (4036053)Termination reason: Instruction limit
% 6.80/1.98 % (4036053)Termination phase: Saturation
% 6.80/1.98 % (4036053)Time elapsed: 0.064 s
% 6.80/1.98 % (4036053)Peak memory usage: 89 MB
% 6.80/1.98 % (4036053)Instructions burned: 117 (million)
% 6.80/1.98 % (4036052)Instruction limit reached!
% 6.80/1.98 % (4036052)------------------------------
% 6.80/1.98 % (4036052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.98 % (4036052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.98 % (4036052)CaDiCaL version: 2.1.3
% 6.80/1.98 % (4036052)Termination reason: Instruction limit
% 6.80/1.98 % (4036052)Termination phase: Saturation
% 6.80/1.98 % (4036052)Time elapsed: 0.134 s
% 6.80/1.98 % (4036052)Peak memory usage: 90 MB
% 6.80/1.98 % (4036052)Instructions burned: 181 (million)
% 6.80/1.98 % (4036061)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2632087931:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.80/1.98 % (4036061)Refutation not found, incomplete strategy
% 6.80/1.98 % (4036061)------------------------------
% 6.80/1.98 % (4036061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.98 % (4036061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.98 % (4036061)CaDiCaL version: 2.1.3
% 6.80/1.98 % (4036061)Termination reason: Refutation not found, incomplete strategy
% 6.80/1.98 % (4036061)Time elapsed: 0.002 s
% 6.80/1.98 % (4036061)Peak memory usage: 88 MB
% 6.80/1.98 % (4036061)Instructions burned: 1 (million)
% 6.80/1.98 % (4036062)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=456251298:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 6.80/1.98 % (4036050)------------------------------
% 6.80/1.98 % (4036050)------------------------------
% 6.80/1.98 % (4036063)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=369950654:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 6.80/1.98 % (4036062)Instruction limit reached!
% 6.80/1.98 % (4036062)------------------------------
% 6.80/1.98 % (4036062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.98 % (4036062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.98 % (4036062)CaDiCaL version: 2.1.3
% 6.80/1.98 % (4036062)Termination reason: Instruction limit
% 6.80/1.98 % (4036062)Termination phase: Saturation
% 6.80/1.98 % (4036062)Time elapsed: 0.105 s
% 6.80/1.98 % (4036062)Peak memory usage: 91 MB
% 6.80/1.98 % (4036062)Instructions burned: 190 (million)
% 6.80/1.98 % (4036066)lrs+10_64_to=lpo:sil=8000:random_seed=3242124746:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 6.80/1.98 % (4036066)Instruction limit reached!
% 6.80/1.98 % (4036066)------------------------------
% 6.80/1.98 % (4036066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.98 % (4036066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.98 % (4036066)CaDiCaL version: 2.1.3
% 6.80/1.98 % (4036066)Termination reason: Instruction limit
% 6.80/1.98 % (4036066)Termination phase: Saturation
% 6.80/1.98 % (4036066)Time elapsed: 0.044 s
% 6.80/1.98 % (4036066)Peak memory usage: 89 MB
% 6.80/1.98 % (4036066)Instructions burned: 127 (million)
% 6.80/1.98 % (4036063)Instruction limit reached!
% 6.80/1.98 % (4036063)------------------------------
% 6.80/1.98 % (4036063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.98 % (4036063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.98 % (4036063)CaDiCaL version: 2.1.3
% 6.80/1.98 % (4036063)Termination reason: Instruction limit
% 6.80/1.98 % (4036063)Termination phase: Saturation
% 6.80/1.98 % (4036063)Time elapsed: 0.127 s
% 6.80/1.98 % (4036063)Peak memory usage: 90 MB
% 6.80/1.98 % (4036063)Instructions burned: 221 (million)
% 6.80/1.98 % (4036061)------------------------------
% 6.80/1.98 % (4036061)------------------------------
% 6.80/1.98 % (4036068)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1787639033:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 6.80/1.98 % (4036070)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3031854725:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 6.80/1.98 % (4036070)Instruction limit reached!
% 6.80/1.98 % (4036070)------------------------------
% 6.80/1.98 % (4036070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.98 % (4036070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.98 % (4036070)CaDiCaL version: 2.1.3
% 6.80/1.98 % (4036070)Termination reason: Instruction limit
% 6.80/1.98 % (4036070)Termination phase: Saturation
% 6.80/1.98 % (4036070)Time elapsed: 0.056 s
% 6.80/1.98 % (4036070)Peak memory usage: 91 MB
% 6.80/1.98 % (4036070)Instructions burned: 157 (million)
% 6.80/1.98 % (4036071)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1460369055:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 6.80/1.98 % (4036072)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=1785378462:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 6.80/1.98 % (4036068)Instruction limit reached!
% 6.80/1.98 % (4036068)------------------------------
% 6.80/1.98 % (4036068)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.98 % (4036068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.98 % (4036068)CaDiCaL version: 2.1.3
% 6.80/1.98 % (4036068)Termination reason: Instruction limit
% 6.80/1.98 % (4036068)Termination phase: Saturation
% 6.80/1.98 % (4036068)Time elapsed: 0.128 s
% 6.80/1.98 % (4036068)Peak memory usage: 89 MB
% 6.80/1.98 % (4036068)Instructions burned: 196 (million)
% 6.80/1.98 % (4036072)Instruction limit reached!
% 6.80/1.98 % (4036072)------------------------------
% 6.80/1.98 % (4036072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.98 % (4036072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.98 % (4036072)CaDiCaL version: 2.1.3
% 6.80/1.98 % (4036072)Termination reason: Instruction limit
% 6.80/1.98 % (4036072)Termination phase: Saturation
% 6.80/1.98 % (4036072)Time elapsed: 0.052 s
% 6.80/1.98 % (4036072)Peak memory usage: 89 MB
% 6.80/1.98 % (4036072)Instructions burned: 107 (million)
% 6.80/1.98 % (4036047)First to succeed.
% 6.80/1.98 % (4036047)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4036042"
% 6.80/1.98 % (4036075)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1862833732:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 6.80/1.98 % (4036075)Instruction limit reached!
% 6.80/1.98 % (4036075)------------------------------
% 6.80/1.98 % (4036075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.98 % (4036075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.98 % (4036075)CaDiCaL version: 2.1.3
% 6.80/1.98 % (4036075)Termination reason: Instruction limit
% 6.80/1.98 % (4036075)Termination phase: Saturation
% 6.80/1.98 % (4036075)Time elapsed: 0.039 s
% 6.80/1.98 % (4036075)Peak memory usage: 89 MB
% 6.80/1.98 % (4036075)Instructions burned: 109 (million)
% 6.80/1.98 % (4036078)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2717587517:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 6.80/1.98 % (4036049)Also succeeded, but the first one will report.
% 6.80/1.98 % (4036079)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=264236785:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 6.80/1.98 % (4036081)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2722268920:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 6.80/1.98 % (4036081)Refutation not found, incomplete strategy
% 6.80/1.98 % (4036081)------------------------------
% 6.80/1.98 % (4036081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.98 % (4036081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.98 % (4036081)CaDiCaL version: 2.1.3
% 6.80/1.98 % (4036081)Termination reason: Refutation not found, incomplete strategy
% 6.80/1.98 % (4036081)Time elapsed: 0.001 s
% 6.80/1.98 % (4036081)Peak memory usage: 88 MB
% 6.80/1.98 % (4036047)Refutation found. Thanks to Tanya!
% 6.80/1.98 % SZS status Unsatisfiable for theBenchmark
% 6.80/1.98 % SZS output start Proof for theBenchmark
% See solution above
% 8.50/2.18 % (4036047)------------------------------
% 8.50/2.18 % (4036047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.50/2.18 % (4036047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.50/2.18 % (4036047)CaDiCaL version: 2.1.3
% 8.50/2.18 % (4036047)Termination reason: Refutation
% 8.50/2.18 % (4036047)Time elapsed: 0.693 s
% 8.50/2.18 % (4036047)Peak memory usage: 130 MB
% 8.50/2.18 % (4036047)Instructions burned: 1027 (million)
% 8.50/2.18 % (4036047)------------------------------
% 8.50/2.18 % (4036047)------------------------------
% 8.50/2.18 % (4036042)Success in time 1.124 s
% 8.50/2.18 % Vampire exiting
%------------------------------------------------------------------------------