%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET034-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 12:39:43 PM UTC 2026
% Result : Unsatisfiable 6.71s 2.02s
% Output : Refutation 8.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 39
% Syntax : Number of formulae : 182 ( 42 unt; 18 def)
% Number of atoms : 510 ( 71 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 628 ( 300 ~; 310 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 25 ( 23 usr; 19 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-3 aty)
% Number of variables : 93 ( 0 sgn 93 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f91,axiom,
! [X2,X3,X0,X1] :
( ~ single_valued_set(X0)
| ~ little_set(X1)
| ~ little_set(X2)
| ~ little_set(X3)
| ~ member(ordered_pair(X1,X2),X0)
| ~ member(ordered_pair(X1,X3),X0)
| X2 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_valued_set1) ).
fof(f92,axiom,
! [X0] :
( little_set(f19(X0))
| single_valued_set(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_valued_set2) ).
fof(f93,axiom,
! [X0] :
( little_set(f20(X0))
| single_valued_set(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_valued_set3) ).
fof(f94,axiom,
! [X0] :
( little_set(f21(X0))
| single_valued_set(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_valued_set4) ).
fof(f95,axiom,
! [X0] :
( single_valued_set(X0)
| member(ordered_pair(f19(X0),f20(X0)),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_valued_set5) ).
fof(f96,axiom,
! [X0] :
( single_valued_set(X0)
| member(ordered_pair(f19(X0),f21(X0)),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_valued_set6) ).
fof(f97,axiom,
! [X0] :
( f20(X0) != f21(X0)
| single_valued_set(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_valued_set7) ).
fof(f99,axiom,
! [X0] :
( single_valued_set(X0)
| ~ function(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',function2) ).
fof(f100,axiom,
! [X0] :
( function(X0)
| ~ relation(X0)
| ~ single_valued_set(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',function3) ).
fof(f146,axiom,
! [X2,X0,X1] :
( little_set(f29(X0,X1,X2))
| ~ member(X0,compose(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compose1) ).
fof(f147,axiom,
! [X2,X0,X1] :
( little_set(f30(X0,X1,X2))
| ~ member(X0,compose(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compose2) ).
fof(f148,axiom,
! [X2,X0,X1] :
( little_set(f31(X0,X1,X2))
| ~ member(X0,compose(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compose3) ).
fof(f149,axiom,
! [X2,X0,X1] :
( ~ member(X0,compose(X1,X2))
| X0 = ordered_pair(f29(X0,X1,X2),f30(X0,X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compose4) ).
fof(f150,plain,
! [X2,X0,X1] :
( ~ member(X0,compose(X1,X2))
| ordered_pair(f29(X0,X1,X2),f30(X0,X1,X2)) = X0 ),
inference(reorient_equations,[],[f149]) ).
fof(f151,axiom,
! [X2,X0,X1] :
( ~ member(X0,compose(X1,X2))
| member(ordered_pair(f29(X0,X1,X2),f31(X0,X1,X2)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compose5) ).
fof(f152,axiom,
! [X2,X0,X1] :
( ~ member(X0,compose(X1,X2))
| member(ordered_pair(f31(X0,X1,X2),f30(X0,X1,X2)),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compose6) ).
fof(f162,axiom,
! [X2,X3,X0,X1] :
( ~ little_set(X0)
| ~ little_set(X1)
| ordered_pair(X0,X2) != ordered_pair(X1,X3)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',first_components_are_equal) ).
fof(f163,plain,
! [X2,X3,X0,X1] :
( ordered_pair(X1,X3) != ordered_pair(X0,X2)
| ~ little_set(X1)
| ~ little_set(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f162]) ).
fof(f165,axiom,
! [X2,X3,X0,X1] :
( ordered_pair(X0,X1) != ordered_pair(X2,X3)
| ~ little_set(X1)
| ~ little_set(X2)
| ~ little_set(X3)
| ~ little_set(X0)
| X1 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',second_components_are_equal) ).
fof(f178,axiom,
! [X0,X1] : relation(compose(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_is_a_relation) ).
fof(f181,axiom,
function(a_function),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_function) ).
fof(f182,axiom,
function(another_function),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',another_function) ).
fof(f183,negated_conjecture,
~ function(compose(another_function,a_function)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_their_composition_is_a_function) ).
fof(f186,plain,
( ~ relation(compose(another_function,a_function))
| ~ single_valued_set(compose(another_function,a_function)) ),
inference(resolution,[],[f100,f183]) ).
fof(f187,plain,
~ single_valued_set(compose(another_function,a_function)),
inference(forward_subsumption_resolution,[],[f186,f178]) ).
fof(f189,plain,
member(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),compose(another_function,a_function)),
inference(resolution,[],[f95,f187]) ).
fof(f193,plain,
member(ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function))),compose(another_function,a_function)),
inference(resolution,[],[f96,f187]) ).
fof(f249,plain,
ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))) = ordered_pair(f29(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function),f30(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function)),
inference(resolution,[],[f150,f189]) ).
fof(f250,plain,
ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function))) = ordered_pair(f29(ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function))),another_function,a_function),f30(ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function))),another_function,a_function)),
inference(resolution,[],[f150,f193]) ).
fof(f251,plain,
! [X0,X1] :
( ordered_pair(X0,X1) != ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function)))
| ~ little_set(X0)
| ~ little_set(f29(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function))
| f29(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function) = X0 ),
inference(superposition,[],[f163,f249]) ).
fof(f255,definition,
( spl0_3
<=> little_set(f29(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f256,plain,
( little_set(f29(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f257,plain,
( ~ little_set(f29(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function))
| spl0_3 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f259,definition,
( spl0_4
<=> ! [X0,X1] :
( ordered_pair(X0,X1) != ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function)))
| f29(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function) = X0
| ~ little_set(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f260,plain,
( ! [X0,X1] :
( ordered_pair(X0,X1) != ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function)))
| f29(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function) = X0
| ~ little_set(X0) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f262,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f251,f259,f255]) ).
fof(f263,plain,
( ~ member(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),compose(another_function,a_function))
| spl0_3 ),
inference(resolution,[],[f257,f146]) ).
fof(f265,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f263,f189]) ).
fof(f266,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f265]) ).
fof(f267,plain,
( f19(compose(another_function,a_function)) = f29(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function)
| ~ little_set(f19(compose(another_function,a_function)))
| ~ spl0_4 ),
inference(equality_resolution,[],[f260]) ).
fof(f269,definition,
( spl0_5
<=> little_set(f19(compose(another_function,a_function))) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f270,plain,
( little_set(f19(compose(another_function,a_function)))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f271,plain,
( ~ little_set(f19(compose(another_function,a_function)))
| spl0_5 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f273,definition,
( spl0_6
<=> f19(compose(another_function,a_function)) = f29(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f275,plain,
( f19(compose(another_function,a_function)) = f29(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f276,plain,
( ~ spl0_5
| spl0_6
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f267,f259,f273,f269]) ).
fof(f277,plain,
member(ordered_pair(f29(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function),f31(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function)),another_function),
inference(resolution,[],[f151,f189]) ).
fof(f278,plain,
member(ordered_pair(f29(ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function))),another_function,a_function),f31(ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function))),another_function,a_function)),another_function),
inference(resolution,[],[f151,f193]) ).
fof(f279,plain,
( single_valued_set(compose(another_function,a_function))
| spl0_5 ),
inference(resolution,[],[f271,f92]) ).
fof(f281,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f279,f187]) ).
fof(f282,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f281]) ).
fof(f288,plain,
( member(ordered_pair(f19(compose(another_function,a_function)),f31(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function)),another_function)
| ~ spl0_6 ),
inference(superposition,[],[f277,f275]) ).
fof(f315,plain,
! [X0,X1] :
( ordered_pair(X0,X1) != ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function)))
| ~ little_set(X0)
| ~ little_set(f29(ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function))),another_function,a_function))
| f29(ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function))),another_function,a_function) = X0 ),
inference(superposition,[],[f163,f250]) ).
fof(f319,definition,
( spl0_9
<=> little_set(f29(ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function))),another_function,a_function)) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f320,plain,
( little_set(f29(ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function))),another_function,a_function))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f319]) ).
fof(f321,plain,
( ~ little_set(f29(ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function))),another_function,a_function))
| spl0_9 ),
inference(avatar_component_clause,[],[f319]) ).
fof(f323,definition,
( spl0_10
<=> ! [X0,X1] :
( ordered_pair(X0,X1) != ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function)))
| f29(ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function))),another_function,a_function) = X0
| ~ little_set(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f324,plain,
( ! [X0,X1] :
( ordered_pair(X0,X1) != ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function)))
| f29(ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function))),another_function,a_function) = X0
| ~ little_set(X0) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f326,plain,
( ~ spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f315,f323,f319]) ).
fof(f333,definition,
( spl0_12
<=> f19(compose(another_function,a_function)) = f29(ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function))),another_function,a_function) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f335,plain,
( f19(compose(another_function,a_function)) = f29(ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function))),another_function,a_function)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f333]) ).
fof(f337,plain,
member(ordered_pair(f31(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function),f30(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function)),a_function),
inference(resolution,[],[f152,f189]) ).
fof(f338,plain,
member(ordered_pair(f31(ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function))),another_function,a_function),f30(ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function))),another_function,a_function)),a_function),
inference(resolution,[],[f152,f193]) ).
fof(f339,plain,
( ~ member(ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function))),compose(another_function,a_function))
| spl0_9 ),
inference(resolution,[],[f321,f146]) ).
fof(f341,plain,
( $false
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f339,f193]) ).
fof(f342,plain,
spl0_9,
inference(avatar_contradiction_clause,[],[f341]) ).
fof(f363,plain,
( f19(compose(another_function,a_function)) = f29(ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function))),another_function,a_function)
| ~ little_set(f19(compose(another_function,a_function)))
| ~ spl0_10 ),
inference(equality_resolution,[],[f324]) ).
fof(f364,plain,
( f19(compose(another_function,a_function)) = f29(ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function))),another_function,a_function)
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f363,f270]) ).
fof(f365,plain,
( spl0_12
| ~ spl0_5
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f364,f323,f269,f333]) ).
fof(f369,plain,
( member(ordered_pair(f19(compose(another_function,a_function)),f31(ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function))),another_function,a_function)),another_function)
| ~ spl0_12 ),
inference(superposition,[],[f278,f335]) ).
fof(f390,plain,
! [X0,X1] :
( ordered_pair(X0,X1) != ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function)))
| ~ little_set(f30(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function))
| ~ little_set(X0)
| ~ little_set(X1)
| ~ little_set(f29(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function))
| f30(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function) = X1 ),
inference(superposition,[],[f165,f249]) ).
fof(f392,plain,
! [X0,X1] :
( ordered_pair(X0,X1) != ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function)))
| ~ little_set(f30(ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function))),another_function,a_function))
| ~ little_set(X0)
| ~ little_set(X1)
| ~ little_set(f29(ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function))),another_function,a_function))
| f30(ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function))),another_function,a_function) = X1 ),
inference(superposition,[],[f165,f250]) ).
fof(f405,plain,
( ! [X0,X1] :
( ordered_pair(X0,X1) != ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function)))
| ~ little_set(f30(ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function))),another_function,a_function))
| ~ little_set(X0)
| ~ little_set(X1)
| f30(ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function))),another_function,a_function) = X1 )
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f392,f320]) ).
fof(f407,plain,
( ! [X0,X1] :
( ordered_pair(X0,X1) != ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function)))
| ~ little_set(f30(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function))
| ~ little_set(X0)
| ~ little_set(X1)
| f30(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function) = X1 )
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f390,f256]) ).
fof(f409,definition,
( spl0_15
<=> little_set(f30(ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function))),another_function,a_function)) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f411,plain,
( ~ little_set(f30(ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function))),another_function,a_function))
| spl0_15 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f413,definition,
( spl0_16
<=> ! [X0,X1] :
( ordered_pair(X0,X1) != ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function)))
| f30(ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function))),another_function,a_function) = X1
| ~ little_set(X0)
| ~ little_set(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f414,plain,
( ! [X0,X1] :
( ordered_pair(X0,X1) != ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function)))
| f30(ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function))),another_function,a_function) = X1
| ~ little_set(X0)
| ~ little_set(X1) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f413]) ).
fof(f418,definition,
( spl0_17
<=> little_set(f30(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function)) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f419,plain,
( little_set(f30(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function))
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f420,plain,
( ~ little_set(f30(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function))
| spl0_17 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f422,definition,
( spl0_18
<=> ! [X0,X1] :
( ordered_pair(X0,X1) != ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function)))
| f30(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function) = X1
| ~ little_set(X0)
| ~ little_set(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f423,plain,
( ! [X0,X1] :
( ordered_pair(X0,X1) != ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function)))
| f30(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function) = X1
| ~ little_set(X0)
| ~ little_set(X1) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f427,plain,
( ~ spl0_15
| spl0_16
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f405,f319,f413,f409]) ).
fof(f429,plain,
( ~ spl0_17
| spl0_18
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f407,f255,f422,f418]) ).
fof(f430,plain,
( ~ member(ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function))),compose(another_function,a_function))
| spl0_15 ),
inference(resolution,[],[f411,f147]) ).
fof(f432,plain,
( $false
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f430,f193]) ).
fof(f433,plain,
spl0_15,
inference(avatar_contradiction_clause,[],[f432]) ).
fof(f434,plain,
( ~ member(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),compose(another_function,a_function))
| spl0_17 ),
inference(resolution,[],[f420,f147]) ).
fof(f436,plain,
( $false
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f434,f189]) ).
fof(f437,plain,
spl0_17,
inference(avatar_contradiction_clause,[],[f436]) ).
fof(f440,plain,
( f21(compose(another_function,a_function)) = f30(ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function))),another_function,a_function)
| ~ little_set(f19(compose(another_function,a_function)))
| ~ little_set(f21(compose(another_function,a_function)))
| ~ spl0_16 ),
inference(equality_resolution,[],[f414]) ).
fof(f441,plain,
( f21(compose(another_function,a_function)) = f30(ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function))),another_function,a_function)
| ~ little_set(f21(compose(another_function,a_function)))
| ~ spl0_5
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f440,f270]) ).
fof(f443,definition,
( spl0_19
<=> little_set(f21(compose(another_function,a_function))) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f444,plain,
( little_set(f21(compose(another_function,a_function)))
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f445,plain,
( ~ little_set(f21(compose(another_function,a_function)))
| spl0_19 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f447,definition,
( spl0_20
<=> f21(compose(another_function,a_function)) = f30(ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function))),another_function,a_function) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f449,plain,
( f21(compose(another_function,a_function)) = f30(ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function))),another_function,a_function)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f450,plain,
( ~ spl0_19
| spl0_20
| ~ spl0_5
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f441,f413,f269,f447,f443]) ).
fof(f451,plain,
( single_valued_set(compose(another_function,a_function))
| spl0_19 ),
inference(resolution,[],[f445,f94]) ).
fof(f453,plain,
( $false
| spl0_19 ),
inference(forward_subsumption_resolution,[],[f451,f187]) ).
fof(f454,plain,
spl0_19,
inference(avatar_contradiction_clause,[],[f453]) ).
fof(f457,plain,
( member(ordered_pair(f31(ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function))),another_function,a_function),f21(compose(another_function,a_function))),a_function)
| ~ spl0_20 ),
inference(superposition,[],[f338,f449]) ).
fof(f464,plain,
( f20(compose(another_function,a_function)) = f30(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function)
| ~ little_set(f19(compose(another_function,a_function)))
| ~ little_set(f20(compose(another_function,a_function)))
| ~ spl0_18 ),
inference(equality_resolution,[],[f423]) ).
fof(f465,plain,
( f20(compose(another_function,a_function)) = f30(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function)
| ~ little_set(f20(compose(another_function,a_function)))
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f464,f270]) ).
fof(f467,definition,
( spl0_21
<=> little_set(f20(compose(another_function,a_function))) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f469,plain,
( ~ little_set(f20(compose(another_function,a_function)))
| spl0_21 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f471,definition,
( spl0_22
<=> f20(compose(another_function,a_function)) = f30(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f473,plain,
( f20(compose(another_function,a_function)) = f30(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f474,plain,
( ~ spl0_21
| spl0_22
| ~ spl0_5
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f465,f422,f269,f471,f467]) ).
fof(f475,plain,
( single_valued_set(compose(another_function,a_function))
| spl0_21 ),
inference(resolution,[],[f469,f93]) ).
fof(f477,plain,
( $false
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f475,f187]) ).
fof(f478,plain,
spl0_21,
inference(avatar_contradiction_clause,[],[f477]) ).
fof(f508,plain,
! [X2,X3,X0,X1] :
( ~ function(X3)
| ~ little_set(X1)
| ~ little_set(X2)
| ~ member(ordered_pair(X0,X1),X3)
| ~ member(ordered_pair(X0,X2),X3)
| X1 = X2
| ~ little_set(X0) ),
inference(resolution,[],[f91,f99]) ).
fof(f511,plain,
! [X2,X0,X1] :
( ~ member(ordered_pair(X2,X0),a_function)
| ~ little_set(X1)
| ~ little_set(X0)
| ~ member(ordered_pair(X2,X1),a_function)
| X0 = X1
| ~ little_set(X2) ),
inference(resolution,[],[f508,f181]) ).
fof(f512,plain,
! [X2,X0,X1] :
( ~ member(ordered_pair(X2,X0),another_function)
| ~ little_set(X1)
| ~ little_set(X0)
| ~ member(ordered_pair(X2,X1),another_function)
| X0 = X1
| ~ little_set(X2) ),
inference(resolution,[],[f508,f182]) ).
fof(f513,plain,
! [X0] :
( ~ little_set(X0)
| ~ little_set(f30(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function))
| ~ member(ordered_pair(f31(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function),X0),a_function)
| f30(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function) = X0
| ~ little_set(f31(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function)) ),
inference(resolution,[],[f511,f337]) ).
fof(f528,plain,
( ! [X0] :
( ~ little_set(X0)
| ~ member(ordered_pair(f31(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function),X0),a_function)
| f30(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function) = X0
| ~ little_set(f31(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function)) )
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f513,f419]) ).
fof(f534,definition,
( spl0_23
<=> little_set(f31(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function)) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f535,plain,
( little_set(f31(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function))
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f536,plain,
( ~ little_set(f31(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function))
| spl0_23 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f538,definition,
( spl0_24
<=> ! [X0] :
( ~ little_set(X0)
| f20(compose(another_function,a_function)) = X0
| ~ member(ordered_pair(f31(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function),X0),a_function) ) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f539,plain,
( ! [X0] :
( ~ member(ordered_pair(f31(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function),X0),a_function)
| f20(compose(another_function,a_function)) = X0
| ~ little_set(X0) )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f542,definition,
( spl0_25
<=> little_set(f31(ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function))),another_function,a_function)) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f543,plain,
( little_set(f31(ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function))),another_function,a_function))
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f544,plain,
( ~ little_set(f31(ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function))),another_function,a_function))
| spl0_25 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f550,plain,
( ! [X0] :
( f20(compose(another_function,a_function)) = X0
| ~ little_set(X0)
| ~ member(ordered_pair(f31(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function),X0),a_function)
| ~ little_set(f31(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function)) )
| ~ spl0_17
| ~ spl0_22 ),
inference(forward_demodulation,[],[f528,f473]) ).
fof(f556,plain,
( ~ spl0_23
| spl0_24
| ~ spl0_17
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f550,f471,f418,f538,f534]) ).
fof(f581,plain,
( ~ member(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),compose(another_function,a_function))
| spl0_23 ),
inference(resolution,[],[f536,f148]) ).
fof(f583,plain,
( $false
| spl0_23 ),
inference(forward_subsumption_resolution,[],[f581,f189]) ).
fof(f584,plain,
spl0_23,
inference(avatar_contradiction_clause,[],[f583]) ).
fof(f585,plain,
( ~ member(ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function))),compose(another_function,a_function))
| spl0_25 ),
inference(resolution,[],[f544,f148]) ).
fof(f587,plain,
( $false
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f585,f193]) ).
fof(f588,plain,
spl0_25,
inference(avatar_contradiction_clause,[],[f587]) ).
fof(f596,plain,
( ! [X0] :
( ~ little_set(X0)
| ~ little_set(f31(ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function))),another_function,a_function))
| ~ member(ordered_pair(f19(compose(another_function,a_function)),X0),another_function)
| f31(ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function))),another_function,a_function) = X0
| ~ little_set(f19(compose(another_function,a_function))) )
| ~ spl0_12 ),
inference(resolution,[],[f512,f369]) ).
fof(f605,plain,
( ! [X0] :
( ~ little_set(X0)
| ~ member(ordered_pair(f19(compose(another_function,a_function)),X0),another_function)
| f31(ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function))),another_function,a_function) = X0
| ~ little_set(f19(compose(another_function,a_function))) )
| ~ spl0_12
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f596,f543]) ).
fof(f613,plain,
( ! [X0] :
( ~ member(ordered_pair(f19(compose(another_function,a_function)),X0),another_function)
| ~ little_set(X0)
| f31(ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function))),another_function,a_function) = X0 )
| ~ spl0_5
| ~ spl0_12
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f605,f270]) ).
fof(f645,plain,
( ~ little_set(f31(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function))
| f31(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function) = f31(ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function))),another_function,a_function)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12
| ~ spl0_25 ),
inference(resolution,[],[f613,f288]) ).
fof(f649,plain,
( f31(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function) = f31(ordered_pair(f19(compose(another_function,a_function)),f21(compose(another_function,a_function))),another_function,a_function)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12
| ~ spl0_23
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f645,f535]) ).
fof(f661,plain,
( member(ordered_pair(f31(ordered_pair(f19(compose(another_function,a_function)),f20(compose(another_function,a_function))),another_function,a_function),f21(compose(another_function,a_function))),a_function)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12
| ~ spl0_20
| ~ spl0_23
| ~ spl0_25 ),
inference(superposition,[],[f457,f649]) ).
fof(f665,plain,
( f20(compose(another_function,a_function)) = f21(compose(another_function,a_function))
| ~ little_set(f21(compose(another_function,a_function)))
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12
| ~ spl0_20
| ~ spl0_23
| ~ spl0_24
| ~ spl0_25 ),
inference(resolution,[],[f661,f539]) ).
fof(f669,plain,
( f20(compose(another_function,a_function)) = f21(compose(another_function,a_function))
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12
| ~ spl0_19
| ~ spl0_20
| ~ spl0_23
| ~ spl0_24
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f665,f444]) ).
fof(f696,plain,
( f20(compose(another_function,a_function)) != f20(compose(another_function,a_function))
| single_valued_set(compose(another_function,a_function))
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12
| ~ spl0_19
| ~ spl0_20
| ~ spl0_23
| ~ spl0_24
| ~ spl0_25 ),
inference(superposition,[],[f97,f669]) ).
fof(f698,plain,
( single_valued_set(compose(another_function,a_function))
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12
| ~ spl0_19
| ~ spl0_20
| ~ spl0_23
| ~ spl0_24
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f696]) ).
fof(f701,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12
| ~ spl0_19
| ~ spl0_20
| ~ spl0_23
| ~ spl0_24
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f698,f187]) ).
fof(f702,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_12
| ~ spl0_19
| ~ spl0_20
| ~ spl0_23
| ~ spl0_24
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f701]) ).
cnf(s4,plain,
( ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f262]) ).
cnf(s5,plain,
spl0_3,
inference(sat_conversion,[],[f266]) ).
cnf(s6,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f276]) ).
cnf(s7,plain,
spl0_5,
inference(sat_conversion,[],[f282]) ).
cnf(s11,plain,
( ~ spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f326]) ).
cnf(s13,plain,
spl0_9,
inference(sat_conversion,[],[f342]) ).
cnf(s16,plain,
( ~ spl0_5
| ~ spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f365]) ).
cnf(s22,plain,
( ~ spl0_9
| ~ spl0_15
| spl0_16 ),
inference(sat_conversion,[],[f427]) ).
cnf(s24,plain,
( ~ spl0_3
| ~ spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f429]) ).
cnf(s25,plain,
spl0_15,
inference(sat_conversion,[],[f433]) ).
cnf(s26,plain,
spl0_17,
inference(sat_conversion,[],[f437]) ).
cnf(s27,plain,
( ~ spl0_5
| ~ spl0_16
| ~ spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f450]) ).
cnf(s28,plain,
spl0_19,
inference(sat_conversion,[],[f454]) ).
cnf(s29,plain,
( ~ spl0_5
| ~ spl0_18
| ~ spl0_21
| spl0_22 ),
inference(sat_conversion,[],[f474]) ).
cnf(s30,plain,
spl0_21,
inference(sat_conversion,[],[f478]) ).
cnf(s34,plain,
( ~ spl0_17
| ~ spl0_22
| ~ spl0_23
| spl0_24 ),
inference(sat_conversion,[],[f556]) ).
cnf(s39,plain,
spl0_23,
inference(sat_conversion,[],[f584]) ).
cnf(s40,plain,
spl0_25,
inference(sat_conversion,[],[f588]) ).
cnf(s46,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_12
| ~ spl0_19
| ~ spl0_20
| ~ spl0_23
| ~ spl0_24
| ~ spl0_25 ),
inference(sat_conversion,[],[f702]) ).
cnf(s47,plain,
( ~ spl0_17
| ~ spl0_22
| spl0_24 ),
inference(rat,[],[s34,s39]) ).
cnf(s51,plain,
( ~ spl0_5
| ~ spl0_18
| spl0_22 ),
inference(rat,[],[s29,s30]) ).
cnf(s52,plain,
( ~ spl0_5
| ~ spl0_16
| spl0_20 ),
inference(rat,[],[s27,s28]) ).
cnf(s53,plain,
( ~ spl0_3
| spl0_18 ),
inference(rat,[],[s24,s26]) ).
cnf(s55,plain,
( ~ spl0_9
| spl0_16 ),
inference(rat,[],[s22,s25]) ).
cnf(s62,plain,
spl0_16,
inference(rat,[],[s55,s13]) ).
cnf(s64,plain,
spl0_10,
inference(rat,[],[s11,s13]) ).
cnf(s66,plain,
spl0_20,
inference(rat,[],[s52,s62,s7]) ).
cnf(s67,plain,
spl0_12,
inference(rat,[],[s16,s64,s7]) ).
cnf(s69,plain,
( ~ spl0_4
| spl0_6 ),
inference(rat,[],[s6,s7]) ).
cnf(s70,plain,
spl0_18,
inference(rat,[],[s53,s5]) ).
cnf(s71,plain,
spl0_22,
inference(rat,[],[s51,s7,s70]) ).
cnf(s72,plain,
spl0_24,
inference(rat,[],[s47,s26,s71]) ).
cnf(s73,plain,
~ spl0_6,
inference(rat,[],[s46,s40,s67,s39,s66,s28,s7,s72]) ).
cnf(s74,plain,
~ spl0_4,
inference(rat,[],[s69,s73]) ).
cnf(s75,plain,
$false,
inference(rat,[],[s4,s74,s5]) ).
fof(f703,plain,
$false,
inference(avatar_sat_refutation,[],[s75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET034-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n018.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 00:18:39 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 6.71/2.02 % (2878518)Input is clausal, will run a generic CNF schedule.
% 6.71/2.02 % (2878529)dis-21_1_sil=8000:lcm=predicate:random_seed=1380614291: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)
% 6.71/2.02 % (2878524)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3014149425:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.71/2.02 % (2878527)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2644553850:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.71/2.02 % (2878523)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=353442655:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.71/2.02 % (2878528)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=414093272:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.71/2.02 % (2878529)Instruction limit reached!
% 6.71/2.02 % (2878529)------------------------------
% 6.71/2.02 % (2878529)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/2.02 % (2878529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/2.02 % (2878529)CaDiCaL version: 2.1.3
% 6.71/2.02 % (2878529)Termination reason: Instruction limit
% 6.71/2.02 % (2878529)Termination phase: Saturation
% 6.71/2.02 % (2878529)Time elapsed: 0.038 s
% 6.71/2.02 % (2878529)Peak memory usage: 90 MB
% 6.71/2.02 % (2878529)Instructions burned: 117 (million)
% 6.71/2.02 % (2878525)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3920383811:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.71/2.02 % (2878526)lrs+10_1_sil=8000:sp=occurrence:random_seed=2721498675:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.71/2.02 % (2878526)Refutation not found, incomplete strategy
% 6.71/2.02 % (2878526)------------------------------
% 6.71/2.02 % (2878526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/2.02 % (2878526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/2.02 % (2878526)CaDiCaL version: 2.1.3
% 6.71/2.02 % (2878526)Termination reason: Refutation not found, incomplete strategy
% 6.71/2.02 % (2878526)Time elapsed: 0.002 s
% 6.71/2.02 % (2878526)Peak memory usage: 87 MB
% 6.71/2.02 % (2878526)Instructions burned: 1 (million)
% 6.71/2.02 % (2878527)Instruction limit reached!
% 6.71/2.02 % (2878527)------------------------------
% 6.71/2.02 % (2878527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/2.02 % (2878527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/2.02 % (2878527)CaDiCaL version: 2.1.3
% 6.71/2.02 % (2878527)Termination reason: Instruction limit
% 6.71/2.02 % (2878527)Termination phase: Saturation
% 6.71/2.02 % (2878527)Time elapsed: 0.073 s
% 6.71/2.02 % (2878527)Peak memory usage: 88 MB
% 6.71/2.02 % (2878527)Instructions burned: 115 (million)
% 6.71/2.02 % (2878528)Instruction limit reached!
% 6.71/2.02 % (2878528)------------------------------
% 6.71/2.02 % (2878528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/2.02 % (2878528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/2.02 % (2878528)CaDiCaL version: 2.1.3
% 6.71/2.02 % (2878528)Termination reason: Instruction limit
% 6.71/2.02 % (2878528)Termination phase: Saturation
% 6.71/2.02 % (2878528)Time elapsed: 0.074 s
% 6.71/2.02 % (2878528)Peak memory usage: 90 MB
% 6.71/2.02 % (2878528)Instructions burned: 181 (million)
% 6.71/2.02 % (2878535)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=157325730:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.71/2.02 % (2878535)Refutation not found, incomplete strategy
% 6.71/2.02 % (2878535)------------------------------
% 6.71/2.02 % (2878535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/2.02 % (2878535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/2.02 % (2878535)CaDiCaL version: 2.1.3
% 6.71/2.02 % (2878535)Termination reason: Refutation not found, incomplete strategy
% 6.71/2.02 % (2878535)Time elapsed: 0.004 s
% 6.71/2.02 % (2878535)Peak memory usage: 88 MB
% 6.71/2.02 % (2878535)Instructions burned: 4 (million)
% 6.71/2.02 % (2878538)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=345603826: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)
% 6.71/2.02 % (2878539)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1301807501:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.71/2.02 % (2878539)Refutation not found, incomplete strategy
% 6.71/2.02 % (2878539)------------------------------
% 6.71/2.02 % (2878539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/2.02 % (2878539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/2.02 % (2878539)CaDiCaL version: 2.1.3
% 6.71/2.02 % (2878539)Termination reason: Refutation not found, incomplete strategy
% 6.71/2.02 % (2878539)Time elapsed: 0.003 s
% 6.71/2.02 % (2878539)Peak memory usage: 88 MB
% 6.71/2.02 % (2878539)Instructions burned: 4 (million)
% 6.71/2.02 % (2878538)Instruction limit reached!
% 6.71/2.02 % (2878538)------------------------------
% 6.71/2.02 % (2878538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/2.02 % (2878538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/2.02 % (2878538)CaDiCaL version: 2.1.3
% 6.71/2.02 % (2878538)Termination reason: Instruction limit
% 6.71/2.02 % (2878538)Termination phase: Saturation
% 6.71/2.02 % (2878538)Time elapsed: 0.053 s
% 6.71/2.02 % (2878538)Peak memory usage: 90 MB
% 6.71/2.02 % (2878538)Instructions burned: 190 (million)
% 6.71/2.02 % (2878526)------------------------------
% 6.71/2.02 % (2878526)------------------------------
% 6.71/2.02 % (2878543)lrs+10_64_to=lpo:sil=8000:random_seed=1518131941:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 6.71/2.02 % (2878543)Instruction limit reached!
% 6.71/2.02 % (2878543)------------------------------
% 6.71/2.02 % (2878543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/2.02 % (2878543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/2.02 % (2878543)CaDiCaL version: 2.1.3
% 6.71/2.02 % (2878543)Termination reason: Instruction limit
% 6.71/2.02 % (2878543)Termination phase: Saturation
% 6.71/2.02 % (2878543)Time elapsed: 0.041 s
% 6.71/2.02 % (2878543)Peak memory usage: 90 MB
% 6.71/2.02 % (2878543)Instructions burned: 129 (million)
% 6.71/2.02 % (2878535)------------------------------
% 6.71/2.02 % (2878535)------------------------------
% 6.71/2.02 % (2878544)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=321381460:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.71/2.02 % (2878539)------------------------------
% 6.71/2.02 % (2878539)------------------------------
% 6.71/2.02 % (2878546)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4097182036:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 6.71/2.02 % (2878546)Instruction limit reached!
% 6.71/2.02 % (2878546)------------------------------
% 6.71/2.02 % (2878546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/2.02 % (2878546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/2.02 % (2878546)CaDiCaL version: 2.1.3
% 6.71/2.02 % (2878546)Termination reason: Instruction limit
% 6.71/2.02 % (2878546)Termination phase: Saturation
% 6.71/2.02 % (2878546)Time elapsed: 0.054 s
% 6.71/2.02 % (2878546)Peak memory usage: 91 MB
% 6.71/2.02 % (2878546)Instructions burned: 159 (million)
% 6.71/2.02 % (2878547)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4217954482:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 6.71/2.02 % (2878544)Instruction limit reached!
% 6.71/2.02 % (2878544)------------------------------
% 6.71/2.02 % (2878544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/2.02 % (2878544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/2.02 % (2878544)CaDiCaL version: 2.1.3
% 6.71/2.02 % (2878544)Termination reason: Instruction limit
% 6.71/2.02 % (2878544)Termination phase: Saturation
% 6.71/2.02 % (2878544)Time elapsed: 0.136 s
% 6.71/2.02 % (2878544)Peak memory usage: 90 MB
% 6.71/2.02 % (2878544)Instructions burned: 195 (million)
% 6.71/2.02 % (2878549)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=2619961213:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 6.71/2.02 % (2878551)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3300674231:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 6.71/2.02 % (2878549)Instruction limit reached!
% 6.71/2.02 % (2878549)------------------------------
% 6.71/2.02 % (2878549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/2.02 % (2878549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/2.02 % (2878549)CaDiCaL version: 2.1.3
% 6.71/2.02 % (2878549)Termination reason: Instruction limit
% 6.71/2.02 % (2878549)Termination phase: Saturation
% 6.71/2.02 % (2878549)Time elapsed: 0.057 s
% 6.71/2.02 % (2878549)Peak memory usage: 89 MB
% 6.71/2.02 % (2878549)Instructions burned: 107 (million)
% 6.71/2.02 % (2878551)Instruction limit reached!
% 6.71/2.02 % (2878551)------------------------------
% 6.71/2.02 % (2878551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/2.02 % (2878551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/2.02 % (2878551)CaDiCaL version: 2.1.3
% 6.71/2.02 % (2878551)Termination reason: Instruction limit
% 6.71/2.02 % (2878551)Termination phase: Saturation
% 6.71/2.02 % (2878551)Time elapsed: 0.041 s
% 6.71/2.02 % (2878551)Peak memory usage: 90 MB
% 6.71/2.02 % (2878551)Instructions burned: 108 (million)
% 6.71/2.02 % (2878553)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3036743836:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 6.71/2.02 % (2878557)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3799073661:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 6.71/2.02 % (2878556)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=924173436:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 6.71/2.02 % (2878557)First to succeed.
% 6.71/2.02 % (2878557)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2878518"
% 6.71/2.02 % (2878553)Instruction limit reached!
% 6.71/2.02 % (2878553)------------------------------
% 6.71/2.02 % (2878553)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/2.02 % (2878553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/2.02 % (2878553)CaDiCaL version: 2.1.3
% 6.71/2.02 % (2878553)Termination reason: Instruction limit
% 6.71/2.02 % (2878553)Termination phase: Saturation
% 6.71/2.02 % (2878553)Time elapsed: 0.165 s
% 6.71/2.02 % (2878553)Peak memory usage: 90 MB
% 6.71/2.02 % (2878553)Instructions burned: 242 (million)
% 6.71/2.02 % (2878557)Refutation found. Thanks to Tanya!
% 6.71/2.02 % SZS status Unsatisfiable for theBenchmark
% 6.71/2.02 % SZS output start Proof for theBenchmark
% See solution above
% 8.70/2.12 % (2878557)------------------------------
% 8.70/2.12 % (2878557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/2.12 % (2878557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/2.12 % (2878557)CaDiCaL version: 2.1.3
% 8.70/2.12 % (2878557)Termination reason: Refutation
% 8.70/2.12 % (2878557)Time elapsed: 0.012 s
% 8.70/2.12 % (2878557)Peak memory usage: 90 MB
% 8.70/2.12 % (2878557)Instructions burned: 32 (million)
% 8.70/2.12 % (2878557)------------------------------
% 8.70/2.12 % (2878557)------------------------------
% 8.70/2.12 % (2878518)Success in time 1.175 s
% 8.70/2.12 % Vampire exiting
%------------------------------------------------------------------------------