%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET066-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 12:39:54 PM UTC 2026
% Result : Unsatisfiable 6.68s 1.93s
% Output : Refutation 8.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 26
% Syntax : Number of formulae : 227 ( 15 unt; 15 def)
% Number of atoms : 704 ( 114 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 815 ( 338 ~; 464 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 14 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 38 ( 0 sgn 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair2) ).
fof(f10,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X1,X0))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair3) ).
fof(f107,axiom,
! [X0,X1] :
( member(not_subclass_element(X1,X0),X1)
| member(not_subclass_element(X0,X1),X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equality1) ).
fof(f109,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| X1 = X0
| member(not_subclass_element(X1,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equality3) ).
fof(f110,plain,
! [X0,X1] :
( member(not_subclass_element(X1,X0),X1)
| X0 = X1
| ~ member(not_subclass_element(X0,X1),X1) ),
inference(reorient_equations,[],[f109]) ).
fof(f111,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X1,X0),X0)
| ~ member(not_subclass_element(X0,X1),X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equality4) ).
fof(f120,negated_conjecture,
unordered_pair(x,y) != unordered_pair(y,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_commutativity_of_unordered_pair_1) ).
fof(f176,definition,
sF0 = unordered_pair(x,y),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f177,plain,
unordered_pair(x,y) = sF0,
inference(reorient_equations,[],[f176]) ).
fof(f178,definition,
sF1 = unordered_pair(y,x),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f179,plain,
unordered_pair(y,x) = sF1,
inference(reorient_equations,[],[f178]) ).
fof(f180,plain,
sF0 != sF1,
inference(definition_folding,[],[f120,f179,f177]) ).
fof(f185,plain,
! [X0] :
( ~ member(X0,sF0)
| x = X0
| y = X0 ),
inference(superposition,[],[f8,f177]) ).
fof(f186,plain,
! [X0] :
( ~ member(X0,sF1)
| y = X0
| x = X0 ),
inference(superposition,[],[f8,f179]) ).
fof(f188,plain,
( member(x,sF0)
| ~ member(x,universal_class) ),
inference(superposition,[],[f9,f177]) ).
fof(f189,plain,
( member(y,sF1)
| ~ member(y,universal_class) ),
inference(superposition,[],[f9,f179]) ).
fof(f191,definition,
( spl2_1
<=> member(y,universal_class) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f192,plain,
( member(y,universal_class)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f193,plain,
( ~ member(y,universal_class)
| spl2_1 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f195,definition,
( spl2_2
<=> member(y,sF1) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f197,plain,
( member(y,sF1)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f198,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f189,f195,f191]) ).
fof(f200,definition,
( spl2_3
<=> member(x,universal_class) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
fof(f201,plain,
( member(x,universal_class)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f202,plain,
( ~ member(x,universal_class)
| spl2_3 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f204,definition,
( spl2_4
<=> member(x,sF0) ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
fof(f206,plain,
( member(x,sF0)
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f207,plain,
( ~ spl2_3
| spl2_4 ),
inference(avatar_split_clause,[],[f188,f204,f200]) ).
fof(f212,plain,
( member(y,sF0)
| ~ member(y,universal_class) ),
inference(superposition,[],[f10,f177]) ).
fof(f213,plain,
( member(x,sF1)
| ~ member(x,universal_class) ),
inference(superposition,[],[f10,f179]) ).
fof(f233,plain,
( ! [X0] :
( ~ member(x,X0)
| ~ subclass(X0,universal_class) )
| spl2_3 ),
inference(resolution,[],[f202,f1]) ).
fof(f234,plain,
( ! [X0] : ~ member(x,X0)
| spl2_3 ),
inference(forward_subsumption_resolution,[],[f233,f4]) ).
fof(f238,plain,
( ! [X0] :
( ~ member(y,X0)
| ~ subclass(X0,universal_class) )
| spl2_1 ),
inference(resolution,[],[f193,f1]) ).
fof(f239,plain,
( ! [X0] : ~ member(y,X0)
| spl2_1 ),
inference(forward_subsumption_resolution,[],[f238,f4]) ).
fof(f244,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF0),sF0)
| y = not_subclass_element(sF0,X0)
| sF0 = X0
| x = not_subclass_element(sF0,X0) ),
inference(resolution,[],[f185,f110]) ).
fof(f245,plain,
! [X0] :
( member(not_subclass_element(X0,sF0),X0)
| y = not_subclass_element(sF0,X0)
| x = not_subclass_element(sF0,X0)
| sF0 = X0 ),
inference(resolution,[],[f185,f107]) ).
fof(f254,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF1),sF1)
| x = not_subclass_element(sF1,X0)
| sF1 = X0
| y = not_subclass_element(sF1,X0) ),
inference(resolution,[],[f186,f110]) ).
fof(f300,plain,
( y = not_subclass_element(sF0,sF1)
| x = not_subclass_element(sF0,sF1)
| sF0 = sF1
| y = not_subclass_element(sF1,sF0)
| x = not_subclass_element(sF1,sF0) ),
inference(resolution,[],[f245,f186]) ).
fof(f306,plain,
( y = not_subclass_element(sF0,sF1)
| x = not_subclass_element(sF0,sF1)
| y = not_subclass_element(sF1,sF0)
| x = not_subclass_element(sF1,sF0) ),
inference(forward_subsumption_resolution,[],[f300,f180]) ).
fof(f308,definition,
( spl2_7
<=> x = not_subclass_element(sF1,sF0) ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
fof(f309,plain,
( x != not_subclass_element(sF1,sF0)
| spl2_7 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f310,plain,
( x = not_subclass_element(sF1,sF0)
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f312,definition,
( spl2_8
<=> y = not_subclass_element(sF1,sF0) ),
introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).
fof(f313,plain,
( y != not_subclass_element(sF1,sF0)
| spl2_8 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f314,plain,
( y = not_subclass_element(sF1,sF0)
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f316,definition,
( spl2_9
<=> x = not_subclass_element(sF0,sF1) ),
introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition]) ).
fof(f318,plain,
( x = not_subclass_element(sF0,sF1)
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f320,definition,
( spl2_10
<=> y = not_subclass_element(sF0,sF1) ),
introduced(definition,[new_symbols(definition,[spl2_10])],[avatar_definition]) ).
fof(f321,plain,
( y != not_subclass_element(sF0,sF1)
| spl2_10 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f322,plain,
( y = not_subclass_element(sF0,sF1)
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f323,plain,
( spl2_7
| spl2_8
| spl2_9
| spl2_10 ),
inference(avatar_split_clause,[],[f306,f320,f316,f312,f308]) ).
fof(f324,plain,
( member(x,sF1)
| y = not_subclass_element(sF0,sF1)
| x = not_subclass_element(sF0,sF1)
| sF0 = sF1
| ~ spl2_7 ),
inference(superposition,[],[f245,f310]) ).
fof(f335,plain,
( y = not_subclass_element(sF0,sF1)
| x = not_subclass_element(sF0,sF1)
| sF0 = sF1
| spl2_3
| ~ spl2_7 ),
inference(forward_subsumption_resolution,[],[f324,f234]) ).
fof(f338,plain,
( y = not_subclass_element(sF0,sF1)
| x = not_subclass_element(sF0,sF1)
| spl2_3
| ~ spl2_7 ),
inference(forward_subsumption_resolution,[],[f335,f180]) ).
fof(f339,plain,
( spl2_9
| spl2_10
| spl2_3
| ~ spl2_7 ),
inference(avatar_split_clause,[],[f338,f308,f200,f320,f316]) ).
fof(f342,plain,
( member(y,sF1)
| y = not_subclass_element(sF0,sF1)
| x = not_subclass_element(sF0,sF1)
| sF0 = sF1
| ~ spl2_8 ),
inference(superposition,[],[f245,f314]) ).
fof(f344,plain,
( ~ member(y,sF0)
| y = not_subclass_element(sF0,sF1)
| sF0 = sF1
| x = not_subclass_element(sF0,sF1)
| ~ spl2_8 ),
inference(superposition,[],[f244,f314]) ).
fof(f348,plain,
( ~ member(y,sF0)
| ~ member(not_subclass_element(sF0,sF1),sF1)
| sF0 = sF1
| ~ spl2_8 ),
inference(superposition,[],[f111,f314]) ).
fof(f353,plain,
( y = not_subclass_element(sF0,sF1)
| x = not_subclass_element(sF0,sF1)
| sF0 = sF1
| spl2_1
| ~ spl2_8 ),
inference(forward_subsumption_resolution,[],[f342,f239]) ).
fof(f356,plain,
( y = not_subclass_element(sF0,sF1)
| x = not_subclass_element(sF0,sF1)
| spl2_1
| ~ spl2_8 ),
inference(forward_subsumption_resolution,[],[f353,f180]) ).
fof(f357,plain,
( spl2_9
| spl2_10
| spl2_1
| ~ spl2_8 ),
inference(avatar_split_clause,[],[f356,f312,f191,f320,f316]) ).
fof(f358,plain,
( member(y,sF0)
| ~ spl2_1 ),
inference(forward_subsumption_resolution,[],[f212,f192]) ).
fof(f359,plain,
( ~ member(y,sF0)
| ~ member(not_subclass_element(sF0,sF1),sF1)
| ~ spl2_8 ),
inference(forward_subsumption_resolution,[],[f348,f180]) ).
fof(f361,plain,
( ~ member(y,sF0)
| y = not_subclass_element(sF0,sF1)
| x = not_subclass_element(sF0,sF1)
| ~ spl2_8 ),
inference(forward_subsumption_resolution,[],[f344,f180]) ).
fof(f362,plain,
( ~ member(not_subclass_element(sF0,sF1),sF1)
| ~ spl2_1
| ~ spl2_8 ),
inference(forward_subsumption_resolution,[],[f359,f358]) ).
fof(f364,plain,
( y = not_subclass_element(sF0,sF1)
| x = not_subclass_element(sF0,sF1)
| ~ spl2_1
| ~ spl2_8 ),
inference(forward_subsumption_resolution,[],[f361,f358]) ).
fof(f365,plain,
( spl2_9
| spl2_10
| ~ spl2_1
| ~ spl2_8 ),
inference(avatar_split_clause,[],[f364,f312,f191,f320,f316]) ).
fof(f367,plain,
( ~ member(x,sF1)
| ~ spl2_1
| ~ spl2_8
| ~ spl2_9 ),
inference(backward_demodulation,[],[f362,f318]) ).
fof(f372,plain,
( member(x,sF0)
| sF0 = sF1
| ~ member(not_subclass_element(sF1,sF0),sF0)
| ~ spl2_9 ),
inference(superposition,[],[f110,f318]) ).
fof(f376,plain,
( sF0 = sF1
| ~ member(not_subclass_element(sF1,sF0),sF0)
| spl2_3
| ~ spl2_9 ),
inference(forward_subsumption_resolution,[],[f372,f234]) ).
fof(f379,plain,
( ~ member(not_subclass_element(sF1,sF0),sF0)
| spl2_3
| ~ spl2_9 ),
inference(forward_subsumption_resolution,[],[f376,f180]) ).
fof(f381,plain,
( ~ member(y,sF0)
| spl2_3
| ~ spl2_8
| ~ spl2_9 ),
inference(forward_demodulation,[],[f379,f314]) ).
fof(f382,plain,
( $false
| ~ spl2_1
| spl2_3
| ~ spl2_8
| ~ spl2_9 ),
inference(forward_subsumption_resolution,[],[f381,f358]) ).
fof(f383,plain,
( ~ spl2_1
| spl2_3
| ~ spl2_8
| ~ spl2_9 ),
inference(avatar_contradiction_clause,[],[f382]) ).
fof(f384,plain,
( member(x,sF1)
| ~ spl2_3 ),
inference(forward_subsumption_resolution,[],[f213,f201]) ).
fof(f385,plain,
( $false
| ~ spl2_1
| ~ spl2_3
| ~ spl2_8
| ~ spl2_9 ),
inference(forward_subsumption_resolution,[],[f384,f367]) ).
fof(f386,plain,
( ~ spl2_1
| ~ spl2_3
| ~ spl2_8
| ~ spl2_9 ),
inference(avatar_contradiction_clause,[],[f385]) ).
fof(f389,plain,
( ~ member(y,sF1)
| ~ spl2_1
| ~ spl2_8
| ~ spl2_10 ),
inference(forward_demodulation,[],[f362,f322]) ).
fof(f390,plain,
( $false
| ~ spl2_1
| ~ spl2_2
| ~ spl2_8
| ~ spl2_10 ),
inference(forward_subsumption_resolution,[],[f389,f197]) ).
fof(f391,plain,
( ~ spl2_1
| ~ spl2_2
| ~ spl2_8
| ~ spl2_10 ),
inference(avatar_contradiction_clause,[],[f390]) ).
fof(f392,plain,
( ~ member(y,sF1)
| x = not_subclass_element(sF1,sF0)
| sF0 = sF1
| y = not_subclass_element(sF1,sF0)
| ~ spl2_10 ),
inference(superposition,[],[f254,f322]) ).
fof(f395,plain,
( member(y,sF0)
| sF0 = sF1
| ~ member(not_subclass_element(sF1,sF0),sF0)
| ~ spl2_10 ),
inference(superposition,[],[f110,f322]) ).
fof(f397,plain,
( member(y,sF0)
| member(not_subclass_element(sF1,sF0),sF1)
| sF0 = sF1
| ~ spl2_10 ),
inference(superposition,[],[f107,f322]) ).
fof(f400,plain,
( x = not_subclass_element(sF1,sF0)
| sF0 = sF1
| y = not_subclass_element(sF1,sF0)
| ~ spl2_2
| ~ spl2_10 ),
inference(forward_subsumption_resolution,[],[f392,f197]) ).
fof(f403,plain,
( sF0 = sF1
| y = not_subclass_element(sF1,sF0)
| ~ spl2_2
| spl2_7
| ~ spl2_10 ),
inference(forward_subsumption_resolution,[],[f400,f309]) ).
fof(f404,plain,
( y = not_subclass_element(sF1,sF0)
| ~ spl2_2
| spl2_7
| ~ spl2_10 ),
inference(forward_subsumption_resolution,[],[f403,f180]) ).
fof(f405,plain,
( $false
| ~ spl2_2
| spl2_7
| spl2_8
| ~ spl2_10 ),
inference(forward_subsumption_resolution,[],[f404,f313]) ).
fof(f406,plain,
( ~ spl2_2
| spl2_7
| spl2_8
| ~ spl2_10 ),
inference(avatar_contradiction_clause,[],[f405]) ).
fof(f407,plain,
( member(y,sF0)
| member(not_subclass_element(sF1,sF0),sF1)
| ~ spl2_10 ),
inference(forward_subsumption_resolution,[],[f397,f180]) ).
fof(f408,plain,
( member(y,sF0)
| ~ member(not_subclass_element(sF1,sF0),sF0)
| ~ spl2_10 ),
inference(forward_subsumption_resolution,[],[f395,f180]) ).
fof(f410,definition,
( spl2_11
<=> subclass(sF0,sF1) ),
introduced(definition,[new_symbols(definition,[spl2_11])],[avatar_definition]) ).
fof(f411,plain,
( ~ subclass(sF0,sF1)
| spl2_11 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f412,plain,
( subclass(sF0,sF1)
| ~ spl2_11 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f414,definition,
( spl2_12
<=> member(y,sF0) ),
introduced(definition,[new_symbols(definition,[spl2_12])],[avatar_definition]) ).
fof(f416,plain,
( member(y,sF0)
| ~ spl2_12 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f419,definition,
( spl2_13
<=> member(not_subclass_element(sF1,sF0),sF1) ),
introduced(definition,[new_symbols(definition,[spl2_13])],[avatar_definition]) ).
fof(f420,plain,
( ~ member(not_subclass_element(sF1,sF0),sF1)
| spl2_13 ),
inference(avatar_component_clause,[],[f419]) ).
fof(f421,plain,
( member(not_subclass_element(sF1,sF0),sF1)
| ~ spl2_13 ),
inference(avatar_component_clause,[],[f419]) ).
fof(f422,plain,
( spl2_13
| spl2_12
| ~ spl2_10 ),
inference(avatar_split_clause,[],[f407,f320,f414,f419]) ).
fof(f424,definition,
( spl2_14
<=> member(not_subclass_element(sF1,sF0),sF0) ),
introduced(definition,[new_symbols(definition,[spl2_14])],[avatar_definition]) ).
fof(f426,plain,
( ~ member(not_subclass_element(sF1,sF0),sF0)
| spl2_14 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f427,plain,
( ~ spl2_14
| spl2_12
| ~ spl2_10 ),
inference(avatar_split_clause,[],[f408,f320,f414,f424]) ).
fof(f428,plain,
( y = not_subclass_element(sF1,sF0)
| x = not_subclass_element(sF1,sF0)
| ~ spl2_13 ),
inference(resolution,[],[f421,f186]) ).
fof(f429,plain,
( x = not_subclass_element(sF1,sF0)
| spl2_8
| ~ spl2_13 ),
inference(forward_subsumption_resolution,[],[f428,f313]) ).
fof(f430,plain,
( $false
| spl2_7
| spl2_8
| ~ spl2_13 ),
inference(forward_subsumption_resolution,[],[f429,f309]) ).
fof(f431,plain,
( spl2_7
| spl2_8
| ~ spl2_13 ),
inference(avatar_contradiction_clause,[],[f430]) ).
fof(f434,plain,
( subclass(sF1,sF0)
| spl2_13 ),
inference(resolution,[],[f420,f2]) ).
fof(f442,plain,
( ~ subclass(sF0,sF1)
| sF0 = sF1
| spl2_13 ),
inference(resolution,[],[f434,f7]) ).
fof(f443,plain,
( sF0 = sF1
| ~ spl2_11
| spl2_13 ),
inference(forward_subsumption_resolution,[],[f442,f412]) ).
fof(f444,plain,
( $false
| ~ spl2_11
| spl2_13 ),
inference(forward_subsumption_resolution,[],[f443,f180]) ).
fof(f445,plain,
( ~ spl2_11
| spl2_13 ),
inference(avatar_contradiction_clause,[],[f444]) ).
fof(f487,plain,
( ! [X0] :
( ~ member(y,X0)
| ~ subclass(X0,universal_class) )
| spl2_1 ),
inference(resolution,[],[f193,f1]) ).
fof(f488,plain,
( ! [X0] : ~ member(y,X0)
| spl2_1 ),
inference(forward_subsumption_resolution,[],[f487,f4]) ).
fof(f489,plain,
( $false
| spl2_1
| ~ spl2_12 ),
inference(resolution,[],[f488,f416]) ).
fof(f493,plain,
( spl2_1
| ~ spl2_12 ),
inference(avatar_contradiction_clause,[],[f489]) ).
fof(f495,plain,
( ~ member(x,sF0)
| ~ spl2_7
| spl2_14 ),
inference(backward_demodulation,[],[f426,f310]) ).
fof(f499,plain,
( member(x,sF1)
| ~ spl2_7
| ~ spl2_13 ),
inference(forward_demodulation,[],[f421,f310]) ).
fof(f504,plain,
( $false
| ~ spl2_4
| ~ spl2_7
| spl2_14 ),
inference(forward_subsumption_resolution,[],[f495,f206]) ).
fof(f505,plain,
( ~ spl2_4
| ~ spl2_7
| spl2_14 ),
inference(avatar_contradiction_clause,[],[f504]) ).
fof(f518,plain,
( ! [X0] :
( ~ member(x,X0)
| ~ subclass(X0,universal_class) )
| spl2_3 ),
inference(resolution,[],[f202,f1]) ).
fof(f519,plain,
( ! [X0] : ~ member(x,X0)
| spl2_3 ),
inference(forward_subsumption_resolution,[],[f518,f4]) ).
fof(f520,plain,
( $false
| spl2_3
| ~ spl2_7
| ~ spl2_13 ),
inference(resolution,[],[f519,f499]) ).
fof(f524,plain,
( spl2_3
| ~ spl2_7
| ~ spl2_13 ),
inference(avatar_contradiction_clause,[],[f520]) ).
fof(f530,plain,
( member(y,sF1)
| ~ spl2_8
| ~ spl2_13 ),
inference(forward_demodulation,[],[f421,f314]) ).
fof(f532,definition,
( spl2_18
<=> member(x,sF1) ),
introduced(definition,[new_symbols(definition,[spl2_18])],[avatar_definition]) ).
fof(f533,plain,
( ~ member(x,sF1)
| spl2_18 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f534,plain,
( member(x,sF1)
| ~ spl2_18 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f535,plain,
( ~ spl2_3
| spl2_18 ),
inference(avatar_split_clause,[],[f213,f532,f200]) ).
fof(f540,plain,
( $false
| spl2_1
| ~ spl2_8
| ~ spl2_13 ),
inference(forward_subsumption_resolution,[],[f530,f488]) ).
fof(f541,plain,
( spl2_1
| ~ spl2_8
| ~ spl2_13 ),
inference(avatar_contradiction_clause,[],[f540]) ).
fof(f550,plain,
( member(x,sF0)
| subclass(sF0,sF1)
| ~ spl2_9 ),
inference(superposition,[],[f2,f318]) ).
fof(f553,plain,
( member(x,sF0)
| member(not_subclass_element(sF1,sF0),sF1)
| sF0 = sF1
| ~ spl2_9 ),
inference(superposition,[],[f107,f318]) ).
fof(f564,plain,
( member(y,sF1)
| sF0 = sF1
| ~ member(not_subclass_element(sF0,sF1),sF1)
| ~ spl2_8 ),
inference(superposition,[],[f110,f314]) ).
fof(f568,plain,
( sF0 = sF1
| ~ member(not_subclass_element(sF0,sF1),sF1)
| spl2_1
| ~ spl2_8 ),
inference(forward_subsumption_resolution,[],[f564,f488]) ).
fof(f571,plain,
( ~ member(not_subclass_element(sF0,sF1),sF1)
| spl2_1
| ~ spl2_8 ),
inference(forward_subsumption_resolution,[],[f568,f180]) ).
fof(f575,plain,
( ~ member(x,sF1)
| spl2_1
| ~ spl2_8
| ~ spl2_9 ),
inference(forward_demodulation,[],[f571,f318]) ).
fof(f576,plain,
( $false
| spl2_1
| ~ spl2_8
| ~ spl2_9
| ~ spl2_18 ),
inference(forward_subsumption_resolution,[],[f575,f534]) ).
fof(f577,plain,
( spl2_1
| ~ spl2_8
| ~ spl2_9
| ~ spl2_18 ),
inference(avatar_contradiction_clause,[],[f576]) ).
fof(f580,plain,
( ! [X0] :
( ~ member(x,X0)
| ~ subclass(X0,universal_class) )
| spl2_3 ),
inference(resolution,[],[f202,f1]) ).
fof(f581,plain,
( ! [X0] : ~ member(x,X0)
| spl2_3 ),
inference(forward_subsumption_resolution,[],[f580,f4]) ).
fof(f588,plain,
( member(not_subclass_element(sF1,sF0),sF1)
| sF0 = sF1
| spl2_3
| ~ spl2_9 ),
inference(forward_subsumption_resolution,[],[f553,f581]) ).
fof(f590,plain,
( subclass(sF0,sF1)
| spl2_3
| ~ spl2_9 ),
inference(forward_subsumption_resolution,[],[f550,f581]) ).
fof(f595,plain,
( member(not_subclass_element(sF1,sF0),sF1)
| spl2_3
| ~ spl2_9 ),
inference(forward_subsumption_resolution,[],[f588,f180]) ).
fof(f597,plain,
( $false
| spl2_3
| ~ spl2_9
| spl2_11 ),
inference(forward_subsumption_resolution,[],[f590,f411]) ).
fof(f598,plain,
( spl2_3
| ~ spl2_9
| spl2_11 ),
inference(avatar_contradiction_clause,[],[f597]) ).
fof(f599,plain,
( member(y,sF1)
| spl2_3
| ~ spl2_8
| ~ spl2_9 ),
inference(forward_demodulation,[],[f595,f314]) ).
fof(f601,plain,
( $false
| spl2_1
| spl2_3
| ~ spl2_8
| ~ spl2_9 ),
inference(forward_subsumption_resolution,[],[f599,f488]) ).
fof(f602,plain,
( spl2_1
| spl2_3
| ~ spl2_8
| ~ spl2_9 ),
inference(avatar_contradiction_clause,[],[f601]) ).
fof(f617,plain,
( member(x,sF1)
| sF0 = sF1
| ~ member(not_subclass_element(sF0,sF1),sF1)
| ~ spl2_7 ),
inference(superposition,[],[f110,f310]) ).
fof(f621,plain,
( sF0 = sF1
| ~ member(not_subclass_element(sF0,sF1),sF1)
| ~ spl2_7
| spl2_18 ),
inference(forward_subsumption_resolution,[],[f617,f533]) ).
fof(f624,plain,
( ~ member(not_subclass_element(sF0,sF1),sF1)
| ~ spl2_7
| spl2_18 ),
inference(forward_subsumption_resolution,[],[f621,f180]) ).
fof(f628,plain,
( ~ member(y,sF1)
| ~ spl2_7
| ~ spl2_10
| spl2_18 ),
inference(forward_demodulation,[],[f624,f322]) ).
fof(f629,plain,
( $false
| ~ spl2_2
| ~ spl2_7
| ~ spl2_10
| spl2_18 ),
inference(forward_subsumption_resolution,[],[f628,f197]) ).
fof(f630,plain,
( ~ spl2_2
| ~ spl2_7
| ~ spl2_10
| spl2_18 ),
inference(avatar_contradiction_clause,[],[f629]) ).
fof(f631,plain,
( $false
| spl2_3
| ~ spl2_18 ),
inference(forward_subsumption_resolution,[],[f534,f581]) ).
fof(f632,plain,
( spl2_3
| ~ spl2_18 ),
inference(avatar_contradiction_clause,[],[f631]) ).
fof(f649,plain,
( ~ member(x,sF1)
| x = not_subclass_element(sF1,sF0)
| sF0 = sF1
| y = not_subclass_element(sF1,sF0)
| ~ spl2_9 ),
inference(superposition,[],[f254,f318]) ).
fof(f655,plain,
( x = not_subclass_element(sF1,sF0)
| sF0 = sF1
| y = not_subclass_element(sF1,sF0)
| ~ spl2_9
| ~ spl2_18 ),
inference(forward_subsumption_resolution,[],[f649,f534]) ).
fof(f656,plain,
( sF0 = sF1
| y = not_subclass_element(sF1,sF0)
| spl2_7
| ~ spl2_9
| ~ spl2_18 ),
inference(forward_subsumption_resolution,[],[f655,f309]) ).
fof(f657,plain,
( y = not_subclass_element(sF1,sF0)
| spl2_7
| ~ spl2_9
| ~ spl2_18 ),
inference(forward_subsumption_resolution,[],[f656,f180]) ).
fof(f658,plain,
( $false
| spl2_7
| spl2_8
| ~ spl2_9
| ~ spl2_18 ),
inference(forward_subsumption_resolution,[],[f657,f313]) ).
fof(f659,plain,
( spl2_7
| spl2_8
| ~ spl2_9
| ~ spl2_18 ),
inference(avatar_contradiction_clause,[],[f658]) ).
fof(f668,plain,
( ~ member(x,sF0)
| y = not_subclass_element(sF0,sF1)
| sF0 = sF1
| x = not_subclass_element(sF0,sF1)
| ~ spl2_7 ),
inference(superposition,[],[f244,f310]) ).
fof(f672,plain,
( ~ member(x,sF0)
| ~ member(not_subclass_element(sF0,sF1),sF1)
| sF0 = sF1
| ~ spl2_7 ),
inference(superposition,[],[f111,f310]) ).
fof(f674,plain,
( ~ member(not_subclass_element(sF0,sF1),sF1)
| sF0 = sF1
| ~ spl2_4
| ~ spl2_7 ),
inference(forward_subsumption_resolution,[],[f672,f206]) ).
fof(f676,plain,
( y = not_subclass_element(sF0,sF1)
| sF0 = sF1
| x = not_subclass_element(sF0,sF1)
| ~ spl2_4
| ~ spl2_7 ),
inference(forward_subsumption_resolution,[],[f668,f206]) ).
fof(f677,plain,
( ~ member(not_subclass_element(sF0,sF1),sF1)
| ~ spl2_4
| ~ spl2_7 ),
inference(forward_subsumption_resolution,[],[f674,f180]) ).
fof(f679,plain,
( sF0 = sF1
| x = not_subclass_element(sF0,sF1)
| ~ spl2_4
| ~ spl2_7
| spl2_10 ),
inference(forward_subsumption_resolution,[],[f676,f321]) ).
fof(f680,plain,
( x = not_subclass_element(sF0,sF1)
| ~ spl2_4
| ~ spl2_7
| spl2_10 ),
inference(forward_subsumption_resolution,[],[f679,f180]) ).
fof(f681,plain,
( spl2_9
| ~ spl2_4
| ~ spl2_7
| spl2_10 ),
inference(avatar_split_clause,[],[f680,f320,f308,f204,f316]) ).
fof(f683,plain,
( ~ member(x,sF1)
| ~ spl2_4
| ~ spl2_7
| ~ spl2_9 ),
inference(backward_demodulation,[],[f677,f318]) ).
fof(f685,plain,
( $false
| ~ spl2_4
| ~ spl2_7
| ~ spl2_9
| ~ spl2_18 ),
inference(forward_subsumption_resolution,[],[f683,f534]) ).
fof(f686,plain,
( ~ spl2_4
| ~ spl2_7
| ~ spl2_9
| ~ spl2_18 ),
inference(avatar_contradiction_clause,[],[f685]) ).
fof(f689,plain,
( ~ member(y,sF1)
| ~ spl2_4
| ~ spl2_7
| ~ spl2_10 ),
inference(forward_demodulation,[],[f677,f322]) ).
fof(f690,plain,
( $false
| ~ spl2_2
| ~ spl2_4
| ~ spl2_7
| ~ spl2_10 ),
inference(forward_subsumption_resolution,[],[f689,f197]) ).
fof(f691,plain,
( ~ spl2_2
| ~ spl2_4
| ~ spl2_7
| ~ spl2_10 ),
inference(avatar_contradiction_clause,[],[f690]) ).
cnf(s1,plain,
( ~ spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f198]) ).
cnf(s2,plain,
( ~ spl2_3
| spl2_4 ),
inference(sat_conversion,[],[f207]) ).
cnf(s5,plain,
( spl2_7
| spl2_8
| spl2_9
| spl2_10 ),
inference(sat_conversion,[],[f323]) ).
cnf(s6,plain,
( spl2_3
| ~ spl2_7
| spl2_9
| spl2_10 ),
inference(sat_conversion,[],[f339]) ).
cnf(s8,plain,
( spl2_1
| ~ spl2_8
| spl2_9
| spl2_10 ),
inference(sat_conversion,[],[f357]) ).
cnf(s9,plain,
( ~ spl2_1
| ~ spl2_8
| spl2_9
| spl2_10 ),
inference(sat_conversion,[],[f365]) ).
cnf(s10,plain,
( ~ spl2_1
| spl2_3
| ~ spl2_8
| ~ spl2_9 ),
inference(sat_conversion,[],[f383]) ).
cnf(s11,plain,
( ~ spl2_1
| ~ spl2_3
| ~ spl2_8
| ~ spl2_9 ),
inference(sat_conversion,[],[f386]) ).
cnf(s12,plain,
( ~ spl2_1
| ~ spl2_2
| ~ spl2_8
| ~ spl2_10 ),
inference(sat_conversion,[],[f391]) ).
cnf(s13,plain,
( ~ spl2_2
| spl2_7
| spl2_8
| ~ spl2_10 ),
inference(sat_conversion,[],[f406]) ).
cnf(s15,plain,
( ~ spl2_10
| spl2_12
| spl2_13 ),
inference(sat_conversion,[],[f422]) ).
cnf(s16,plain,
( ~ spl2_10
| spl2_12
| ~ spl2_14 ),
inference(sat_conversion,[],[f427]) ).
cnf(s17,plain,
( spl2_7
| spl2_8
| ~ spl2_13 ),
inference(sat_conversion,[],[f431]) ).
cnf(s18,plain,
( ~ spl2_11
| spl2_13 ),
inference(sat_conversion,[],[f445]) ).
cnf(s21,plain,
( spl2_1
| ~ spl2_12 ),
inference(sat_conversion,[],[f493]) ).
cnf(s23,plain,
( ~ spl2_4
| ~ spl2_7
| spl2_14 ),
inference(sat_conversion,[],[f505]) ).
cnf(s24,plain,
( spl2_3
| ~ spl2_7
| ~ spl2_13 ),
inference(sat_conversion,[],[f524]) ).
cnf(s25,plain,
( ~ spl2_3
| spl2_18 ),
inference(sat_conversion,[],[f535]) ).
cnf(s28,plain,
( spl2_1
| ~ spl2_8
| ~ spl2_13 ),
inference(sat_conversion,[],[f541]) ).
cnf(s30,plain,
( spl2_1
| ~ spl2_8
| ~ spl2_9
| ~ spl2_18 ),
inference(sat_conversion,[],[f577]) ).
cnf(s34,plain,
( spl2_3
| ~ spl2_9
| spl2_11 ),
inference(sat_conversion,[],[f598]) ).
cnf(s35,plain,
( spl2_1
| spl2_3
| ~ spl2_8
| ~ spl2_9 ),
inference(sat_conversion,[],[f602]) ).
cnf(s37,plain,
( ~ spl2_2
| ~ spl2_7
| ~ spl2_10
| spl2_18 ),
inference(sat_conversion,[],[f630]) ).
cnf(s38,plain,
( spl2_3
| ~ spl2_18 ),
inference(sat_conversion,[],[f632]) ).
cnf(s41,plain,
( spl2_7
| spl2_8
| ~ spl2_9
| ~ spl2_18 ),
inference(sat_conversion,[],[f659]) ).
cnf(s43,plain,
( ~ spl2_4
| ~ spl2_7
| spl2_9
| spl2_10 ),
inference(sat_conversion,[],[f681]) ).
cnf(s44,plain,
( ~ spl2_4
| ~ spl2_7
| ~ spl2_9
| ~ spl2_18 ),
inference(sat_conversion,[],[f686]) ).
cnf(s45,plain,
( ~ spl2_2
| ~ spl2_4
| ~ spl2_7
| ~ spl2_10 ),
inference(sat_conversion,[],[f691]) ).
cnf(s46,plain,
( spl2_8
| spl2_7
| spl2_3
| spl2_12 ),
inference(rat,[],[s5,s34,s15,s18,s17]) ).
cnf(s47,plain,
( ~ spl2_8
| spl2_3
| spl2_1 ),
inference(rat,[],[s15,s8,s28,s35,s21]) ).
cnf(s48,plain,
( spl2_8
| spl2_3
| spl2_12 ),
inference(rat,[],[s6,s34,s15,s18,s24,s46]) ).
cnf(s49,plain,
( spl2_3
| spl2_1 ),
inference(rat,[],[s48,s47,s21]) ).
cnf(s50,plain,
( spl2_7
| spl2_8
| spl2_1 ),
inference(rat,[],[s5,s15,s41,s17,s21,s25,s49]) ).
cnf(s51,plain,
( ~ spl2_7
| spl2_1 ),
inference(rat,[],[s16,s43,s23,s44,s21,s25,s2,s49]) ).
cnf(s52,plain,
spl2_1,
inference(rat,[],[s15,s8,s28,s30,s50,s51,s25,s49,s21]) ).
cnf(s53,plain,
spl2_2,
inference(rat,[],[s1,s52]) ).
cnf(s54,plain,
( spl2_7
| ~ spl2_18
| spl2_8 ),
inference(rat,[],[s5,s41,s13,s53]) ).
cnf(s55,plain,
( ~ spl2_7
| ~ spl2_18
| ~ spl2_4 ),
inference(rat,[],[s43,s45,s44,s53]) ).
cnf(s56,plain,
( ~ spl2_3
| spl2_8 ),
inference(rat,[],[s55,s54,s2,s25]) ).
cnf(s57,plain,
( spl2_7
| spl2_8 ),
inference(rat,[],[s34,s18,s5,s17,s13,s56,s53]) ).
cnf(s58,plain,
spl2_8,
inference(rat,[],[s34,s18,s6,s24,s37,s57,s38,s56,s53]) ).
cnf(s59,plain,
~ spl2_10,
inference(rat,[],[s12,s53,s52,s58]) ).
cnf(s60,plain,
spl2_9,
inference(rat,[],[s9,s58,s52,s59]) ).
cnf(s61,plain,
~ spl2_3,
inference(rat,[],[s11,s58,s52,s60]) ).
cnf(s62,plain,
$false,
inference(rat,[],[s10,s58,s52,s60,s61]) ).
fof(f692,plain,
$false,
inference(avatar_sat_refutation,[],[s62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET066-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n004.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 00:28:07 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.68/1.93 % (4030964)Input is clausal, will run a generic CNF schedule.
% 6.68/1.93 % (4030975)dis-21_1_sil=8000:lcm=predicate:random_seed=1112881805: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)
% 6.68/1.93 % (4030972)lrs+10_1_sil=8000:sp=occurrence:random_seed=3413266822:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.68/1.93 % (4030971)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1060701477:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.68/1.93 % (4030970)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2463683310:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.68/1.93 % (4030973)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=471306016:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.68/1.93 % (4030969)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=1607825933:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.68/1.93 % (4030974)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1515636027:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.68/1.93 % (4030972)Refutation not found, incomplete strategy
% 6.68/1.93 % (4030972)------------------------------
% 6.68/1.93 % (4030972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.93 % (4030972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.93 % (4030972)CaDiCaL version: 2.1.3
% 6.68/1.93 % (4030972)Termination reason: Refutation not found, incomplete strategy
% 6.68/1.93 % (4030972)Time elapsed: 0.003 s
% 6.68/1.93 % (4030972)Peak memory usage: 88 MB
% 6.68/1.93 % (4030972)Instructions burned: 3 (million)
% 6.68/1.93 % (4030975)Instruction limit reached!
% 6.68/1.93 % (4030975)------------------------------
% 6.68/1.93 % (4030975)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.93 % (4030975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.93 % (4030975)CaDiCaL version: 2.1.3
% 6.68/1.93 % (4030975)Termination reason: Instruction limit
% 6.68/1.93 % (4030975)Termination phase: Saturation
% 6.68/1.93 % (4030975)Time elapsed: 0.041 s
% 6.68/1.93 % (4030975)Peak memory usage: 89 MB
% 6.68/1.93 % (4030975)Instructions burned: 119 (million)
% 6.68/1.93 % (4030973)Instruction limit reached!
% 6.68/1.93 % (4030973)------------------------------
% 6.68/1.93 % (4030973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.93 % (4030973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.93 % (4030973)CaDiCaL version: 2.1.3
% 6.68/1.93 % (4030973)Termination reason: Instruction limit
% 6.68/1.93 % (4030973)Termination phase: Saturation
% 6.68/1.93 % (4030973)Time elapsed: 0.069 s
% 6.68/1.93 % (4030973)Peak memory usage: 89 MB
% 6.68/1.93 % (4030973)Instructions burned: 115 (million)
% 6.68/1.93 % (4030983)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=2272661515:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.68/1.93 % (4030983)Refutation not found, incomplete strategy
% 6.68/1.93 % (4030983)------------------------------
% 6.68/1.93 % (4030983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.93 % (4030983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.93 % (4030983)CaDiCaL version: 2.1.3
% 6.68/1.93 % (4030983)Termination reason: Refutation not found, incomplete strategy
% 6.68/1.93 % (4030983)Time elapsed: 0.001 s
% 6.68/1.93 % (4030983)Peak memory usage: 88 MB
% 6.68/1.93 % (4030983)Instructions burned: 1 (million)
% 6.68/1.93 % (4030974)Instruction limit reached!
% 6.68/1.93 % (4030974)------------------------------
% 6.68/1.93 % (4030974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.93 % (4030974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.93 % (4030974)CaDiCaL version: 2.1.3
% 6.68/1.93 % (4030974)Termination reason: Instruction limit
% 6.68/1.93 % (4030974)Termination phase: Saturation
% 6.68/1.93 % (4030974)Time elapsed: 0.130 s
% 6.68/1.93 % (4030974)Peak memory usage: 90 MB
% 6.68/1.93 % (4030974)Instructions burned: 180 (million)
% 6.68/1.93 % (4030984)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3104197641: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)
% 6.68/1.93 % (4030983)------------------------------
% 6.68/1.93 % (4030983)------------------------------
% 6.68/1.93 % (4030972)------------------------------
% 6.68/1.93 % (4030972)------------------------------
% 6.68/1.93 % (4030986)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3896442274:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.68/1.93 % (4030986)Refutation not found, incomplete strategy
% 6.68/1.93 % (4030986)------------------------------
% 6.68/1.93 % (4030986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.93 % (4030986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.93 % (4030986)CaDiCaL version: 2.1.3
% 6.68/1.93 % (4030986)Termination reason: Refutation not found, incomplete strategy
% 6.68/1.93 % (4030986)Time elapsed: 0.003 s
% 6.68/1.93 % (4030986)Peak memory usage: 88 MB
% 6.68/1.93 % (4030986)Instructions burned: 3 (million)
% 6.68/1.93 % (4030984)Instruction limit reached!
% 6.68/1.93 % (4030984)------------------------------
% 6.68/1.93 % (4030984)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.93 % (4030984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.93 % (4030984)CaDiCaL version: 2.1.3
% 6.68/1.93 % (4030984)Termination reason: Instruction limit
% 6.68/1.93 % (4030984)Termination phase: Saturation
% 6.68/1.93 % (4030984)Time elapsed: 0.103 s
% 6.68/1.93 % (4030984)Peak memory usage: 91 MB
% 6.68/1.93 % (4030984)Instructions burned: 190 (million)
% 6.68/1.93 % (4030988)lrs+10_64_to=lpo:sil=8000:random_seed=1912522608:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 6.68/1.93 % (4030988)Instruction limit reached!
% 6.68/1.93 % (4030988)------------------------------
% 6.68/1.93 % (4030988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.93 % (4030988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.93 % (4030988)CaDiCaL version: 2.1.3
% 6.68/1.93 % (4030988)Termination reason: Instruction limit
% 6.68/1.93 % (4030988)Termination phase: Saturation
% 6.68/1.93 % (4030988)Time elapsed: 0.044 s
% 6.68/1.93 % (4030988)Peak memory usage: 89 MB
% 6.68/1.93 % (4030988)Instructions burned: 126 (million)
% 6.68/1.93 % (4030989)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2894097578:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 6.68/1.93 % (4030991)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=719736554:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 6.68/1.93 % (4030993)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2700619460:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 6.68/1.93 % (4030989)Instruction limit reached!
% 6.68/1.93 % (4030989)------------------------------
% 6.68/1.93 % (4030989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.93 % (4030989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.93 % (4030989)CaDiCaL version: 2.1.3
% 6.68/1.93 % (4030989)Termination reason: Instruction limit
% 6.68/1.93 % (4030989)Termination phase: Saturation
% 6.68/1.93 % (4030989)Time elapsed: 0.128 s
% 6.68/1.93 % (4030989)Peak memory usage: 89 MB
% 6.68/1.93 % (4030989)Instructions burned: 195 (million)
% 6.68/1.93 % (4030986)------------------------------
% 6.68/1.93 % (4030986)------------------------------
% 6.68/1.93 % (4030991)Instruction limit reached!
% 6.68/1.93 % (4030991)------------------------------
% 6.68/1.93 % (4030991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.93 % (4030991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.93 % (4030991)CaDiCaL version: 2.1.3
% 6.68/1.93 % (4030991)Termination reason: Instruction limit
% 6.68/1.93 % (4030991)Termination phase: Saturation
% 6.68/1.93 % (4030991)Time elapsed: 0.106 s
% 6.68/1.93 % (4030991)Peak memory usage: 90 MB
% 6.68/1.93 % (4030991)Instructions burned: 158 (million)
% 6.68/1.93 % (4030997)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=305792055:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 6.68/1.93 % (4030998)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1550761319:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 6.68/1.93 % (4030998)Refutation not found, incomplete strategy
% 6.68/1.93 % (4030998)------------------------------
% 6.68/1.93 % (4030998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.93 % (4030998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.93 % (4030998)CaDiCaL version: 2.1.3
% 6.68/1.93 % (4030998)Termination reason: Refutation not found, incomplete strategy
% 6.68/1.93 % (4030998)Time elapsed: 0.005 s
% 6.68/1.93 % (4030998)Peak memory usage: 88 MB
% 6.68/1.93 % (4030998)Instructions burned: 7 (million)
% 6.68/1.93 % (4030971)First to succeed.
% 6.68/1.93 % (4030971)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4030964"
% 6.68/1.93 % (4030999)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3747600610:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 6.68/1.93 % (4030969)Also succeeded, but the first one will report.
% 6.68/1.93 % (4030997)Instruction limit reached!
% 6.68/1.93 % (4030997)------------------------------
% 6.68/1.93 % (4030997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.93 % (4030997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.93 % (4030997)CaDiCaL version: 2.1.3
% 6.68/1.93 % (4030997)Termination reason: Instruction limit
% 6.68/1.93 % (4030997)Termination phase: Saturation
% 6.68/1.93 % (4030997)Time elapsed: 0.054 s
% 6.68/1.93 % (4030997)Peak memory usage: 92 MB
% 6.68/1.93 % (4030997)Instructions burned: 107 (million)
% 6.68/1.93 % (4031003)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1533675654:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 6.68/1.93 % (4030999)Instruction limit reached!
% 6.68/1.93 % (4030999)------------------------------
% 6.68/1.93 % (4030999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.93 % (4030999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.93 % (4030999)CaDiCaL version: 2.1.3
% 6.68/1.93 % (4030999)Termination reason: Instruction limit
% 6.68/1.93 % (4030999)Termination phase: Saturation
% 6.68/1.93 % (4030999)Time elapsed: 0.167 s
% 6.68/1.93 % (4030999)Peak memory usage: 90 MB
% 6.68/1.93 % (4030999)Instructions burned: 244 (million)
% 6.68/1.93 % (4030998)------------------------------
% 6.68/1.93 % (4030998)------------------------------
% 6.68/1.93 % (4030971)Refutation found. Thanks to Tanya!
% 6.68/1.93 % SZS status Unsatisfiable for theBenchmark
% 6.68/1.93 % SZS output start Proof for theBenchmark
% See solution above
% 8.17/2.12 % (4030971)------------------------------
% 8.17/2.12 % (4030971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.17/2.12 % (4030971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.17/2.12 % (4030971)CaDiCaL version: 2.1.3
% 8.17/2.12 % (4030971)Termination reason: Refutation
% 8.17/2.12 % (4030971)Time elapsed: 0.678 s
% 8.17/2.12 % (4030971)Peak memory usage: 130 MB
% 8.17/2.12 % (4030971)Instructions burned: 1015 (million)
% 8.17/2.12 % (4030971)------------------------------
% 8.17/2.12 % (4030971)------------------------------
% 8.17/2.12 % (4030964)Success in time 1.082 s
% 8.17/2.12 % Vampire exiting
%------------------------------------------------------------------------------