%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU220+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:52:27 PM UTC 2026
% Result : Theorem 14.65s 4.80s
% Output : Refutation 14.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 14
% Syntax : Number of formulae : 115 ( 36 unt; 7 def)
% Number of atoms : 503 ( 134 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 678 ( 290 ~; 282 |; 80 &)
% ( 8 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 134 ( 124 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f42,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( one_to_one(X0)
=> function_inverse(X0) = relation_inverse(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_funct_1) ).
fof(f50,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( relation(function_inverse(X0))
& function(function_inverse(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_funct_1) ).
fof(f157,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_funct_1) ).
fof(f159,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X0,relation_dom(relation_composition(X2,X1)))
=> apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_funct_1) ).
fof(f174,axiom,
! [X0] :
( relation(X0)
=> ( relation_rng(X0) = relation_dom(relation_inverse(X0))
& relation_dom(X0) = relation_rng(relation_inverse(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_relat_1) ).
fof(f200,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( one_to_one(X0)
=> ! [X1] :
( ( relation(X1)
& function(X1) )
=> ( X1 = function_inverse(X0)
<=> ( relation_dom(X1) = relation_rng(X0)
& ! [X2,X3] :
( ( ( in(X2,relation_rng(X0))
& X3 = apply(X1,X2) )
=> ( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) ) )
& ( ( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) )
=> ( in(X2,relation_rng(X0))
& X3 = apply(X1,X2) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t54_funct_1) ).
fof(f204,conjecture,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( ( one_to_one(X1)
& in(X0,relation_rng(X1)) )
=> ( X0 = apply(X1,apply(function_inverse(X1),X0))
& X0 = apply(relation_composition(function_inverse(X1),X1),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t57_funct_1) ).
fof(f205,negated_conjecture,
~ ! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( ( one_to_one(X1)
& in(X0,relation_rng(X1)) )
=> ( X0 = apply(X1,apply(function_inverse(X1),X0))
& X0 = apply(relation_composition(function_inverse(X1),X1),X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f204]) ).
fof(f275,plain,
! [X0] :
( function_inverse(X0) = relation_inverse(X0)
| ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f276,plain,
! [X0] :
( function_inverse(X0) = relation_inverse(X0)
| ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f275]) ).
fof(f277,plain,
! [X0] :
( ( relation(function_inverse(X0))
& function(function_inverse(X0)) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f278,plain,
! [X0] :
( ( relation(function_inverse(X0))
& function(function_inverse(X0)) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f277]) ).
fof(f361,plain,
! [X0,X1] :
( ! [X2] :
( ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f157]) ).
fof(f362,plain,
! [X0,X1] :
( ! [X2] :
( ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f361]) ).
fof(f364,plain,
! [X0,X1] :
( ! [X2] :
( apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0))
| ~ in(X0,relation_dom(relation_composition(X2,X1)))
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f159]) ).
fof(f365,plain,
! [X0,X1] :
( ! [X2] :
( apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0))
| ~ in(X0,relation_dom(relation_composition(X2,X1)))
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f364]) ).
fof(f382,plain,
! [X0] :
( ( relation_rng(X0) = relation_dom(relation_inverse(X0))
& relation_dom(X0) = relation_rng(relation_inverse(X0)) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f174]) ).
fof(f405,plain,
! [X0] :
( ! [X1] :
( ( X1 = function_inverse(X0)
<=> ( relation_dom(X1) = relation_rng(X0)
& ! [X2,X3] :
( ( ( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) )
| ~ in(X2,relation_rng(X0))
| apply(X1,X2) != X3 )
& ( ( in(X2,relation_rng(X0))
& X3 = apply(X1,X2) )
| ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 ) ) ) )
| ~ relation(X1)
| ~ function(X1) )
| ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f200]) ).
fof(f406,plain,
! [X0] :
( ! [X1] :
( ( X1 = function_inverse(X0)
<=> ( relation_dom(X1) = relation_rng(X0)
& ! [X2,X3] :
( ( ( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) )
| ~ in(X2,relation_rng(X0))
| apply(X1,X2) != X3 )
& ( ( in(X2,relation_rng(X0))
& X3 = apply(X1,X2) )
| ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 ) ) ) )
| ~ relation(X1)
| ~ function(X1) )
| ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f405]) ).
fof(f413,plain,
? [X0,X1] :
( ( apply(X1,apply(function_inverse(X1),X0)) != X0
| apply(relation_composition(function_inverse(X1),X1),X0) != X0 )
& one_to_one(X1)
& in(X0,relation_rng(X1))
& relation(X1)
& function(X1) ),
inference(ennf_transformation,[],[f205]) ).
fof(f414,plain,
? [X0,X1] :
( ( apply(X1,apply(function_inverse(X1),X0)) != X0
| apply(relation_composition(function_inverse(X1),X1),X0) != X0 )
& one_to_one(X1)
& in(X0,relation_rng(X1))
& relation(X1)
& function(X1) ),
inference(flattening,[],[f413]) ).
fof(f441,definition,
! [X0,X2,X3,X1] :
( sP0(X0,X2,X3,X1)
<=> ( ( in(X2,relation_rng(X0))
& X3 = apply(X1,X2) )
| ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f442,plain,
! [X0] :
( ! [X1] :
( ( X1 = function_inverse(X0)
<=> ( relation_dom(X1) = relation_rng(X0)
& ! [X2,X3] :
( ( ( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) )
| ~ in(X2,relation_rng(X0))
| apply(X1,X2) != X3 )
& sP0(X0,X2,X3,X1) ) ) )
| ~ relation(X1)
| ~ function(X1) )
| ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(definition_folding,[],[f406,f441]) ).
fof(f557,plain,
! [X0,X1] :
( ! [X2] :
( ( ( in(X0,relation_dom(relation_composition(X2,X1)))
| ~ in(X0,relation_dom(X2))
| ~ in(apply(X2,X0),relation_dom(X1)) )
& ( ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) )
| ~ in(X0,relation_dom(relation_composition(X2,X1))) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(nnf_transformation,[],[f362]) ).
fof(f558,plain,
! [X0,X1] :
( ! [X2] :
( ( ( in(X0,relation_dom(relation_composition(X2,X1)))
| ~ in(X0,relation_dom(X2))
| ~ in(apply(X2,X0),relation_dom(X1)) )
& ( ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) )
| ~ in(X0,relation_dom(relation_composition(X2,X1))) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f557]) ).
fof(f578,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = function_inverse(X0)
| relation_rng(X0) != relation_dom(X1)
| ? [X2,X3] :
( ( ( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 )
& in(X2,relation_rng(X0))
& apply(X1,X2) = X3 )
| ~ sP0(X0,X2,X3,X1) ) )
& ( ( relation_dom(X1) = relation_rng(X0)
& ! [X2,X3] :
( ( ( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) )
| ~ in(X2,relation_rng(X0))
| apply(X1,X2) != X3 )
& sP0(X0,X2,X3,X1) ) )
| function_inverse(X0) != X1 ) )
| ~ relation(X1)
| ~ function(X1) )
| ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(nnf_transformation,[],[f442]) ).
fof(f579,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = function_inverse(X0)
| relation_rng(X0) != relation_dom(X1)
| ? [X2,X3] :
( ( ( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 )
& in(X2,relation_rng(X0))
& apply(X1,X2) = X3 )
| ~ sP0(X0,X2,X3,X1) ) )
& ( ( relation_dom(X1) = relation_rng(X0)
& ! [X2,X3] :
( ( ( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) )
| ~ in(X2,relation_rng(X0))
| apply(X1,X2) != X3 )
& sP0(X0,X2,X3,X1) ) )
| function_inverse(X0) != X1 ) )
| ~ relation(X1)
| ~ function(X1) )
| ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f578]) ).
fof(f580,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = function_inverse(X0)
| relation_rng(X0) != relation_dom(X1)
| ? [X2,X3] :
( ( ( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 )
& in(X2,relation_rng(X0))
& apply(X1,X2) = X3 )
| ~ sP0(X0,X2,X3,X1) ) )
& ( ( relation_dom(X1) = relation_rng(X0)
& ! [X4,X5] :
( ( ( in(X5,relation_dom(X0))
& apply(X0,X5) = X4 )
| ~ in(X4,relation_rng(X0))
| apply(X1,X4) != X5 )
& sP0(X0,X4,X5,X1) ) )
| function_inverse(X0) != X1 ) )
| ~ relation(X1)
| ~ function(X1) )
| ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(rectify,[],[f579]) ).
fof(f581,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = function_inverse(X0)
| relation_rng(X0) != relation_dom(X1)
| ( ( ~ in(sK72(X0,X1),relation_dom(X0))
| sK71(X0,X1) != apply(X0,sK72(X0,X1)) )
& in(sK71(X0,X1),relation_rng(X0))
& sK72(X0,X1) = apply(X1,sK71(X0,X1)) )
| ~ sP0(X0,sK71(X0,X1),sK72(X0,X1),X1) )
& ( ( relation_dom(X1) = relation_rng(X0)
& ! [X4,X5] :
( ( ( in(X5,relation_dom(X0))
& apply(X0,X5) = X4 )
| ~ in(X4,relation_rng(X0))
| apply(X1,X4) != X5 )
& sP0(X0,X4,X5,X1) ) )
| function_inverse(X0) != X1 ) )
| ~ relation(X1)
| ~ function(X1) )
| ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK71,sK72]),skolemize(X2,sK71(X0,X1)),skolemize(X3,sK72(X0,X1))],[f580]) ).
fof(f583,plain,
( ( sK75 != apply(sK76,apply(function_inverse(sK76),sK75))
| sK75 != apply(relation_composition(function_inverse(sK76),sK76),sK75) )
& one_to_one(sK76)
& in(sK75,relation_rng(sK76))
& relation(sK76)
& function(sK76) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK75,sK76]),skolemize(X0,sK75),skolemize(X1,sK76)],[f414]) ).
fof(f744,plain,
! [X0] :
( ~ one_to_one(X0)
| relation_inverse(X0) = function_inverse(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f276]) ).
fof(f745,plain,
! [X0] :
( function(function_inverse(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f278]) ).
fof(f746,plain,
! [X0] :
( relation(function_inverse(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f278]) ).
fof(f884,plain,
! [X2,X0,X1] :
( ~ in(apply(X2,X0),relation_dom(X1))
| ~ in(X0,relation_dom(X2))
| in(X0,relation_dom(relation_composition(X2,X1)))
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f558]) ).
fof(f886,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_dom(relation_composition(X2,X1)))
| apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0))
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f365]) ).
fof(f909,plain,
! [X0] :
( ~ relation(X0)
| relation_rng(X0) = relation_dom(relation_inverse(X0)) ),
inference(cnf_transformation,[],[f382]) ).
fof(f952,plain,
! [X0,X1,X4,X5] :
( apply(X0,X5) = X4
| ~ in(X4,relation_rng(X0))
| apply(X1,X4) != X5
| function_inverse(X0) != X1
| ~ relation(X1)
| ~ function(X1)
| ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f581]) ).
fof(f953,plain,
! [X0,X1,X4,X5] :
( in(X5,relation_dom(X0))
| ~ in(X4,relation_rng(X0))
| apply(X1,X4) != X5
| function_inverse(X0) != X1
| ~ relation(X1)
| ~ function(X1)
| ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f581]) ).
fof(f962,plain,
function(sK76),
inference(cnf_transformation,[],[f583]) ).
fof(f963,plain,
relation(sK76),
inference(cnf_transformation,[],[f583]) ).
fof(f964,plain,
in(sK75,relation_rng(sK76)),
inference(cnf_transformation,[],[f583]) ).
fof(f965,plain,
one_to_one(sK76),
inference(cnf_transformation,[],[f583]) ).
fof(f966,plain,
( sK75 != apply(sK76,apply(function_inverse(sK76),sK75))
| sK75 != apply(relation_composition(function_inverse(sK76),sK76),sK75) ),
inference(cnf_transformation,[],[f583]) ).
fof(f1223,plain,
! [X0,X1,X4] :
( in(apply(X1,X4),relation_dom(X0))
| ~ in(X4,relation_rng(X0))
| function_inverse(X0) != X1
| ~ relation(X1)
| ~ function(X1)
| ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f953]) ).
fof(f1224,plain,
! [X0,X4] :
( in(apply(function_inverse(X0),X4),relation_dom(X0))
| ~ in(X4,relation_rng(X0))
| ~ relation(function_inverse(X0))
| ~ function(function_inverse(X0))
| ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f1223]) ).
fof(f1225,plain,
! [X0,X1,X4] :
( apply(X0,apply(X1,X4)) = X4
| ~ in(X4,relation_rng(X0))
| function_inverse(X0) != X1
| ~ relation(X1)
| ~ function(X1)
| ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f952]) ).
fof(f1226,plain,
! [X0,X4] :
( ~ in(X4,relation_rng(X0))
| apply(X0,apply(function_inverse(X0),X4)) = X4
| ~ relation(function_inverse(X0))
| ~ function(function_inverse(X0))
| ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f1225]) ).
fof(f1229,definition,
sF79 = function_inverse(sK76),
introduced(definition,[new_symbols(definition,[sF79])],[function_definition]) ).
fof(f1230,plain,
function_inverse(sK76) = sF79,
inference(reorient_equations,[],[f1229]) ).
fof(f1231,definition,
sF80 = apply(sF79,sK75),
introduced(definition,[new_symbols(definition,[sF80])],[function_definition]) ).
fof(f1232,plain,
apply(sF79,sK75) = sF80,
inference(reorient_equations,[],[f1231]) ).
fof(f1233,definition,
sF81 = apply(sK76,sF80),
introduced(definition,[new_symbols(definition,[sF81])],[function_definition]) ).
fof(f1234,plain,
apply(sK76,sF80) = sF81,
inference(reorient_equations,[],[f1233]) ).
fof(f1235,definition,
sF82 = relation_composition(sF79,sK76),
introduced(definition,[new_symbols(definition,[sF82])],[function_definition]) ).
fof(f1236,plain,
relation_composition(sF79,sK76) = sF82,
inference(reorient_equations,[],[f1235]) ).
fof(f1237,definition,
sF83 = apply(sF82,sK75),
introduced(definition,[new_symbols(definition,[sF83])],[function_definition]) ).
fof(f1238,plain,
apply(sF82,sK75) = sF83,
inference(reorient_equations,[],[f1237]) ).
fof(f1239,plain,
( sK75 != sF83
| sK75 != sF81 ),
inference(definition_folding,[],[f966,f1238,f1236,f1230,f1234,f1232,f1230]) ).
fof(f1240,definition,
sF84 = relation_rng(sK76),
introduced(definition,[new_symbols(definition,[sF84])],[function_definition]) ).
fof(f1241,plain,
relation_rng(sK76) = sF84,
inference(reorient_equations,[],[f1240]) ).
fof(f1242,plain,
in(sK75,sF84),
inference(definition_folding,[],[f964,f1241]) ).
fof(f1429,plain,
( function(sF79)
| ~ relation(sK76)
| ~ function(sK76) ),
inference(superposition,[],[f745,f1230]) ).
fof(f1430,plain,
( function(sF79)
| ~ function(sK76) ),
inference(forward_subsumption_resolution,[],[f1429,f963]) ).
fof(f1431,plain,
function(sF79),
inference(forward_subsumption_resolution,[],[f1430,f962]) ).
fof(f1432,plain,
( relation(sF79)
| ~ relation(sK76)
| ~ function(sK76) ),
inference(superposition,[],[f746,f1230]) ).
fof(f1433,plain,
( relation(sF79)
| ~ function(sK76) ),
inference(forward_subsumption_resolution,[],[f1432,f963]) ).
fof(f1434,plain,
relation(sF79),
inference(forward_subsumption_resolution,[],[f1433,f962]) ).
fof(f1635,plain,
relation_rng(sK76) = relation_dom(relation_inverse(sK76)),
inference(resolution,[],[f909,f963]) ).
fof(f1637,plain,
sF84 = relation_dom(relation_inverse(sK76)),
inference(forward_demodulation,[],[f1635,f1241]) ).
fof(f3329,plain,
( function_inverse(sK76) = relation_inverse(sK76)
| ~ relation(sK76)
| ~ function(sK76) ),
inference(resolution,[],[f744,f965]) ).
fof(f3334,plain,
( function_inverse(sK76) = relation_inverse(sK76)
| ~ function(sK76) ),
inference(forward_subsumption_resolution,[],[f3329,f963]) ).
fof(f3337,plain,
function_inverse(sK76) = relation_inverse(sK76),
inference(forward_subsumption_resolution,[],[f3334,f962]) ).
fof(f3338,plain,
sF79 = relation_inverse(sK76),
inference(forward_demodulation,[],[f3337,f1230]) ).
fof(f3346,plain,
sF84 = relation_dom(sF79),
inference(superposition,[],[f1637,f3338]) ).
fof(f8641,plain,
! [X0] :
( in(apply(sF79,X0),relation_dom(sK76))
| ~ in(X0,relation_rng(sK76))
| ~ relation(sF79)
| ~ function(sF79)
| ~ one_to_one(sK76)
| ~ relation(sK76)
| ~ function(sK76) ),
inference(superposition,[],[f1224,f1230]) ).
fof(f8661,plain,
! [X0] :
( in(apply(sF79,X0),relation_dom(sK76))
| ~ in(X0,relation_rng(sK76))
| ~ function(sF79)
| ~ one_to_one(sK76)
| ~ relation(sK76)
| ~ function(sK76) ),
inference(forward_subsumption_resolution,[],[f8641,f1434]) ).
fof(f8684,plain,
! [X0] :
( in(apply(sF79,X0),relation_dom(sK76))
| ~ in(X0,relation_rng(sK76))
| ~ one_to_one(sK76)
| ~ relation(sK76)
| ~ function(sK76) ),
inference(forward_subsumption_resolution,[],[f8661,f1431]) ).
fof(f8707,plain,
! [X0] :
( in(apply(sF79,X0),relation_dom(sK76))
| ~ in(X0,relation_rng(sK76))
| ~ relation(sK76)
| ~ function(sK76) ),
inference(forward_subsumption_resolution,[],[f8684,f965]) ).
fof(f8723,plain,
! [X0] :
( in(apply(sF79,X0),relation_dom(sK76))
| ~ in(X0,relation_rng(sK76))
| ~ function(sK76) ),
inference(forward_subsumption_resolution,[],[f8707,f963]) ).
fof(f8732,plain,
! [X0] :
( in(apply(sF79,X0),relation_dom(sK76))
| ~ in(X0,relation_rng(sK76)) ),
inference(forward_subsumption_resolution,[],[f8723,f962]) ).
fof(f8735,plain,
! [X0] :
( in(apply(sF79,X0),relation_dom(sK76))
| ~ in(X0,sF84) ),
inference(forward_demodulation,[],[f8732,f1241]) ).
fof(f9129,plain,
! [X0] :
( ~ in(sF80,relation_dom(X0))
| ~ in(sK75,relation_dom(sF79))
| in(sK75,relation_dom(relation_composition(sF79,X0)))
| ~ relation(sF79)
| ~ function(sF79)
| ~ relation(X0)
| ~ function(X0) ),
inference(superposition,[],[f884,f1232]) ).
fof(f9147,plain,
! [X0] :
( ~ in(sF80,relation_dom(X0))
| ~ in(sK75,relation_dom(sF79))
| in(sK75,relation_dom(relation_composition(sF79,X0)))
| ~ function(sF79)
| ~ relation(X0)
| ~ function(X0) ),
inference(forward_subsumption_resolution,[],[f9129,f1434]) ).
fof(f9157,plain,
! [X0] :
( ~ in(sF80,relation_dom(X0))
| ~ in(sK75,relation_dom(sF79))
| in(sK75,relation_dom(relation_composition(sF79,X0)))
| ~ relation(X0)
| ~ function(X0) ),
inference(forward_subsumption_resolution,[],[f9147,f1431]) ).
fof(f9162,plain,
! [X0] :
( ~ in(sK75,sF84)
| ~ in(sF80,relation_dom(X0))
| in(sK75,relation_dom(relation_composition(sF79,X0)))
| ~ relation(X0)
| ~ function(X0) ),
inference(forward_demodulation,[],[f9157,f3346]) ).
fof(f9165,plain,
! [X0] :
( in(sK75,relation_dom(relation_composition(sF79,X0)))
| ~ in(sF80,relation_dom(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(forward_subsumption_resolution,[],[f9162,f1242]) ).
fof(f9391,plain,
! [X0] :
( ~ in(X0,sF84)
| apply(sK76,apply(function_inverse(sK76),X0)) = X0
| ~ relation(function_inverse(sK76))
| ~ function(function_inverse(sK76))
| ~ one_to_one(sK76)
| ~ relation(sK76)
| ~ function(sK76) ),
inference(superposition,[],[f1226,f1241]) ).
fof(f9395,plain,
! [X0] :
( ~ in(X0,sF84)
| apply(sK76,apply(function_inverse(sK76),X0)) = X0
| ~ function(function_inverse(sK76))
| ~ one_to_one(sK76)
| ~ relation(sK76)
| ~ function(sK76) ),
inference(forward_subsumption_resolution,[],[f9391,f746]) ).
fof(f9452,plain,
! [X0] :
( ~ in(X0,sF84)
| apply(sK76,apply(function_inverse(sK76),X0)) = X0
| ~ one_to_one(sK76)
| ~ relation(sK76)
| ~ function(sK76) ),
inference(forward_subsumption_resolution,[],[f9395,f745]) ).
fof(f9509,plain,
! [X0] :
( ~ in(X0,sF84)
| apply(sK76,apply(function_inverse(sK76),X0)) = X0
| ~ relation(sK76)
| ~ function(sK76) ),
inference(forward_subsumption_resolution,[],[f9452,f965]) ).
fof(f9523,plain,
! [X0] :
( ~ in(X0,sF84)
| apply(sK76,apply(function_inverse(sK76),X0)) = X0
| ~ function(sK76) ),
inference(forward_subsumption_resolution,[],[f9509,f963]) ).
fof(f9528,plain,
! [X0] :
( ~ in(X0,sF84)
| apply(sK76,apply(function_inverse(sK76),X0)) = X0 ),
inference(forward_subsumption_resolution,[],[f9523,f962]) ).
fof(f9530,plain,
! [X0] :
( ~ in(X0,sF84)
| apply(sK76,apply(sF79,X0)) = X0 ),
inference(forward_demodulation,[],[f9528,f1230]) ).
fof(f9586,plain,
! [X0] :
( ~ in(X0,relation_dom(sF82))
| apply(sF82,X0) = apply(sK76,apply(sF79,X0))
| ~ relation(sF79)
| ~ function(sF79)
| ~ relation(sK76)
| ~ function(sK76) ),
inference(superposition,[],[f886,f1236]) ).
fof(f9593,plain,
! [X0] :
( ~ in(X0,relation_dom(sF82))
| apply(sF82,X0) = apply(sK76,apply(sF79,X0))
| ~ function(sF79)
| ~ relation(sK76)
| ~ function(sK76) ),
inference(forward_subsumption_resolution,[],[f9586,f1434]) ).
fof(f9609,plain,
! [X0] :
( ~ in(X0,relation_dom(sF82))
| apply(sF82,X0) = apply(sK76,apply(sF79,X0))
| ~ relation(sK76)
| ~ function(sK76) ),
inference(forward_subsumption_resolution,[],[f9593,f1431]) ).
fof(f9617,plain,
! [X0] :
( ~ in(X0,relation_dom(sF82))
| apply(sF82,X0) = apply(sK76,apply(sF79,X0))
| ~ function(sK76) ),
inference(forward_subsumption_resolution,[],[f9609,f963]) ).
fof(f9622,plain,
! [X0] :
( ~ in(X0,relation_dom(sF82))
| apply(sF82,X0) = apply(sK76,apply(sF79,X0)) ),
inference(forward_subsumption_resolution,[],[f9617,f962]) ).
fof(f15144,plain,
( in(sF80,relation_dom(sK76))
| ~ in(sK75,sF84) ),
inference(superposition,[],[f8735,f1232]) ).
fof(f15146,plain,
in(sF80,relation_dom(sK76)),
inference(forward_subsumption_resolution,[],[f15144,f1242]) ).
fof(f15350,plain,
sK75 = apply(sK76,apply(sF79,sK75)),
inference(resolution,[],[f9530,f1242]) ).
fof(f15351,plain,
sK75 = apply(sK76,sF80),
inference(forward_demodulation,[],[f15350,f1232]) ).
fof(f15405,plain,
sK75 = sF81,
inference(superposition,[],[f1234,f15351]) ).
fof(f15869,plain,
( in(sK75,relation_dom(sF82))
| ~ in(sF80,relation_dom(sK76))
| ~ relation(sK76)
| ~ function(sK76) ),
inference(superposition,[],[f9165,f1236]) ).
fof(f15873,plain,
( in(sK75,relation_dom(sF82))
| ~ relation(sK76)
| ~ function(sK76) ),
inference(forward_subsumption_resolution,[],[f15869,f15146]) ).
fof(f15878,plain,
( in(sK75,relation_dom(sF82))
| ~ function(sK76) ),
inference(forward_subsumption_resolution,[],[f15873,f963]) ).
fof(f15882,plain,
in(sK75,relation_dom(sF82)),
inference(forward_subsumption_resolution,[],[f15878,f962]) ).
fof(f15886,plain,
apply(sF82,sK75) = apply(sK76,apply(sF79,sK75)),
inference(resolution,[],[f15882,f9622]) ).
fof(f15901,plain,
apply(sK76,sF80) = apply(sF82,sK75),
inference(forward_demodulation,[],[f15886,f1232]) ).
fof(f15903,plain,
apply(sK76,sF80) = sF83,
inference(forward_demodulation,[],[f15901,f1238]) ).
fof(f15905,plain,
sF81 = sF83,
inference(forward_demodulation,[],[f15903,f1234]) ).
fof(f15906,plain,
sK75 = sF83,
inference(forward_demodulation,[],[f15905,f15405]) ).
fof(f15946,plain,
( sK75 != sK75
| sK75 != sF81 ),
inference(superposition,[],[f1239,f15906]) ).
fof(f15947,plain,
sK75 != sF81,
inference(trivial_inequality_removal,[],[f15946]) ).
fof(f15948,plain,
$false,
inference(forward_subsumption_resolution,[],[f15947,f15405]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU220+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 % Computer : n002.cluster.edu
% 0.12/0.41 % Model : x86_64 x86_64
% 0.12/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.41 % Memory : 8046.5625MB
% 0.12/0.41 % OS : Linux 6.8.0-71-generic
% 0.12/0.41 % CPULimit : 300
% 0.12/0.41 % WCLimit : 300
% 0.12/0.41 % DateTime : Mon Sep 28 04:10:37 UTC 2026
% 0.12/0.41 % CPUTime :
% 0.12/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.44 Running first-order model finding
% 0.12/0.44 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.16/2.64 % (4136483)Will run a generic schedule for satisfiability detection.
% 15.16/2.64 % (4136492)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1157307913:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.16/2.64 % (4136489)% WARNING: option uhcvi not known.
% 15.16/2.64 % (4136488)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4036951920_2999 on theBenchmark for (2999ds/0Mi)
% 15.16/2.64 % (4136489)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3209929879:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.16/2.64 % (4136491)dis+10_1_sil=32000:sp=arity:random_seed=2529016220:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.16/2.64 % (4136490)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3828198678:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.16/2.64 % (4136493)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2778993127:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.16/2.64 % (4136494)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2264899471:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.16/2.64 % (4136492)Instruction limit reached!
% 15.16/2.64 % (4136492)------------------------------
% 15.16/2.64 % (4136492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.16/2.64 % (4136492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.16/2.64 % (4136492)CaDiCaL version: 2.1.3
% 15.16/2.64 % (4136492)Termination reason: Instruction limit
% 15.16/2.64 % (4136492)Termination phase: Saturation
% 15.16/2.64 % (4136492)Time elapsed: 0.039 s
% 15.16/2.64 % (4136492)Peak memory usage: 13 MB
% 15.16/2.64 % (4136492)Instructions burned: 118 (million)
% 15.16/2.64 % (4136502)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1657031420:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 15.16/2.64 % TRYING [1]
% 15.16/2.64 % TRYING [2]
% 15.16/2.64 % TRYING [1]
% 15.16/2.64 % (4136493)Instruction limit reached!
% 15.16/2.64 % (4136493)------------------------------
% 15.16/2.64 % (4136493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.16/2.64 % (4136493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.16/2.64 % (4136493)CaDiCaL version: 2.1.3
% 15.16/2.64 % (4136493)Termination reason: Instruction limit
% 15.16/2.64 % (4136493)Termination phase: Saturation
% 15.16/2.64 % (4136493)Time elapsed: 0.067 s
% 15.16/2.64 % (4136493)Peak memory usage: 13 MB
% 15.16/2.64 % (4136493)Instructions burned: 132 (million)
% 15.16/2.64 % TRYING [2]
% 15.16/2.64 % (4136491)Instruction limit reached!
% 15.16/2.64 % (4136491)------------------------------
% 15.16/2.64 % (4136491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.16/2.64 % (4136491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.16/2.64 % (4136491)CaDiCaL version: 2.1.3
% 15.16/2.64 % (4136491)Termination reason: Instruction limit
% 15.16/2.64 % (4136491)Termination phase: Saturation
% 15.16/2.64 % (4136491)Time elapsed: 0.068 s
% 15.16/2.64 % (4136491)Peak memory usage: 13 MB
% 15.16/2.64 % (4136491)Instructions burned: 103 (million)
% 15.16/2.64 % TRYING [3]
% 15.16/2.64 % TRYING [3]
% 15.16/2.64 % (4136504)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=511652336:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 15.16/2.64 % (4136505)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1000352060:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.16/2.64 % (4136494)Instruction limit reached!
% 15.16/2.64 % (4136494)------------------------------
% 15.16/2.64 % (4136494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.16/2.64 % (4136494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.16/2.64 % (4136494)CaDiCaL version: 2.1.3
% 15.16/2.64 % (4136494)Termination reason: Instruction limit
% 15.16/2.64 % (4136494)Termination phase: Saturation
% 15.16/2.64 % (4136494)Time elapsed: 0.100 s
% 15.16/2.64 % (4136494)Peak memory usage: 14 MB
% 15.16/2.64 % (4136494)Instructions burned: 160 (million)
% 15.16/2.64 % (4136508)ott-21_1_sil=16000:fs=off:random_seed=3669249796:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.16/2.64 % TRYING [4]
% 15.16/2.64 % (4136504)Instruction limit reached!
% 15.16/2.64 % (4136504)------------------------------
% 15.16/2.64 % (4136504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.16/2.64 % (4136504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/4.80 % (4136504)CaDiCaL version: 2.1.3
% 14.65/4.80 % (4136504)Termination reason: Instruction limit
% 14.65/4.80 % (4136504)Termination phase: Saturation
% 14.65/4.80 % (4136504)Time elapsed: 0.073 s
% 14.65/4.80 % (4136504)Peak memory usage: 14 MB
% 14.65/4.80 % (4136504)Instructions burned: 132 (million)
% 14.65/4.80 % (4136510)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1544314207:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 14.65/4.80 % (4136502)Instruction limit reached!
% 14.65/4.80 % (4136502)------------------------------
% 14.65/4.80 % (4136502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.65/4.80 % (4136502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/4.80 % (4136502)CaDiCaL version: 2.1.3
% 14.65/4.80 % (4136502)Termination reason: Instruction limit
% 14.65/4.80 % (4136502)Termination phase: Finite model building constraint generation
% 14.65/4.80 % (4136502)Time elapsed: 0.141 s
% 14.65/4.80 % (4136502)Peak memory usage: 32 MB
% 14.65/4.80 % (4136502)Instructions burned: 716 (million)
% 14.65/4.80 % (4136512)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1130125118:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 14.65/4.80 % (4136508)Instruction limit reached!
% 14.65/4.80 % (4136508)------------------------------
% 14.65/4.80 % (4136508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.65/4.80 % (4136508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/4.80 % (4136508)CaDiCaL version: 2.1.3
% 14.65/4.80 % (4136508)Termination reason: Instruction limit
% 14.65/4.80 % (4136508)Termination phase: Saturation
% 14.65/4.80 % (4136508)Time elapsed: 0.101 s
% 14.65/4.80 % (4136508)Peak memory usage: 14 MB
% 14.65/4.80 % (4136508)Instructions burned: 180 (million)
% 14.65/4.80 % TRYING [1]
% 14.65/4.80 % TRYING [2]
% 14.65/4.80 % TRYING [4]
% 14.65/4.80 % (4136514)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3343828670:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 14.65/4.80 % TRYING [3]
% 14.65/4.80 % (4136512)Instruction limit reached!
% 14.65/4.80 % (4136512)------------------------------
% 14.65/4.80 % (4136512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.65/4.80 % (4136512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/4.80 % (4136512)CaDiCaL version: 2.1.3
% 14.65/4.80 % (4136512)Termination reason: Instruction limit
% 14.65/4.80 % (4136512)Termination phase: Finite model building SAT solving
% 14.65/4.80 % (4136512)Time elapsed: 0.211 s
% 14.65/4.80 % (4136512)Peak memory usage: 34 MB
% 14.65/4.80 % (4136512)Instructions burned: 868 (million)
% 14.65/4.80 % (4136516)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3590643584:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 14.65/4.80 % (4136505)Instruction limit reached!
% 14.65/4.80 % (4136505)------------------------------
% 14.65/4.80 % (4136505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.65/4.80 % (4136505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/4.80 % (4136505)CaDiCaL version: 2.1.3
% 14.65/4.80 % (4136505)Termination reason: Instruction limit
% 14.65/4.80 % (4136505)Termination phase: Saturation
% 14.65/4.80 % (4136505)Time elapsed: 0.372 s
% 14.65/4.80 % (4136505)Peak memory usage: 16 MB
% 14.65/4.80 % (4136505)Instructions burned: 685 (million)
% 14.65/4.80 % (4136518)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2460477673:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 14.65/4.80 % (4136510)Instruction limit reached!
% 14.65/4.80 % (4136510)------------------------------
% 14.65/4.80 % (4136510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.65/4.80 % (4136510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/4.80 % (4136510)CaDiCaL version: 2.1.3
% 14.65/4.80 % (4136510)Termination reason: Instruction limit
% 14.65/4.80 % (4136510)Termination phase: Saturation
% 14.65/4.80 % (4136510)Time elapsed: 0.336 s
% 14.65/4.80 % (4136510)Peak memory usage: 14 MB
% 14.65/4.80 % (4136510)Instructions burned: 477 (million)
% 14.65/4.80 % (4136520)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1969071876:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 14.65/4.80 % (4136516)Instruction limit reached!
% 14.65/4.80 % (4136516)------------------------------
% 14.65/4.80 % (4136516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.65/4.80 % (4136516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/4.80 % (4136516)CaDiCaL version: 2.1.3
% 14.65/4.80 % (4136516)Termination reason: Instruction limit
% 14.65/4.80 % (4136516)Termination phase: Finite model building constraint generation
% 14.65/4.80 % (4136516)Time elapsed: 0.241 s
% 14.65/4.80 % (4136516)Peak memory usage: 102 MB
% 14.65/4.80 % (4136516)Instructions burned: 891 (million)
% 14.65/4.80 % (4136522)fmb+10_1_sil=64000:random_seed=62716102:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 14.65/4.80 % TRYING [1]
% 14.65/4.80 % TRYING [2]
% 14.65/4.80 % TRYING [3]
% 14.65/4.80 % (4136518)Instruction limit reached!
% 14.65/4.80 % (4136518)------------------------------
% 14.65/4.80 % (4136518)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.65/4.80 % (4136518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/4.80 % (4136518)CaDiCaL version: 2.1.3
% 14.65/4.80 % (4136518)Termination reason: Instruction limit
% 14.65/4.80 % (4136518)Termination phase: Saturation
% 14.65/4.80 % (4136518)Time elapsed: 0.319 s
% 14.65/4.80 % (4136518)Peak memory usage: 18 MB
% 14.65/4.80 % (4136518)Instructions burned: 693 (million)
% 14.65/4.80 % (4136524)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1994052288:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 14.65/4.80 % TRYING [5]
% 14.65/4.80 % TRYING [20]
% 14.65/4.80 % TRYING [4]
% 14.65/4.80 % (4136514)Instruction limit reached!
% 14.65/4.80 % (4136514)------------------------------
% 14.65/4.80 % (4136514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.65/4.80 % (4136514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/4.80 % (4136514)CaDiCaL version: 2.1.3
% 14.65/4.80 % (4136514)Termination reason: Instruction limit
% 14.65/4.80 % (4136514)Termination phase: Saturation
% 14.65/4.80 % (4136514)Time elapsed: 0.735 s
% 14.65/4.80 % (4136514)Peak memory usage: 26 MB
% 14.65/4.80 % (4136514)Instructions burned: 1179 (million)
% 14.65/4.80 % (4136526)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3808268921:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 14.65/4.80 % (4136520)Instruction limit reached!
% 14.65/4.80 % (4136520)------------------------------
% 14.65/4.80 % (4136520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.65/4.80 % (4136520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/4.80 % (4136520)CaDiCaL version: 2.1.3
% 14.65/4.80 % (4136520)Termination reason: Instruction limit
% 14.65/4.80 % (4136520)Termination phase: Saturation
% 14.65/4.80 % (4136520)Time elapsed: 0.501 s
% 14.65/4.80 % (4136520)Peak memory usage: 21 MB
% 14.65/4.80 % (4136520)Instructions burned: 880 (million)
% 14.65/4.80 % TRYING [8]
% 14.65/4.80 % (4136528)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1546450877:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 14.65/4.80 % (4136526)Instruction limit reached!
% 14.65/4.80 % (4136526)------------------------------
% 14.65/4.80 % (4136526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.65/4.80 % (4136526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/4.80 % (4136526)CaDiCaL version: 2.1.3
% 14.65/4.80 % (4136526)Termination reason: Instruction limit
% 14.65/4.80 % (4136526)Termination phase: Finite model building constraint generation
% 14.65/4.80 % (4136526)Time elapsed: 0.320 s
% 14.65/4.80 % (4136526)Peak memory usage: 60 MB
% 14.65/4.80 % (4136526)Instructions burned: 920 (million)
% 14.65/4.80 % (4136530)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2372827407:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 14.65/4.80 % TRYING [5]
% 14.65/4.80 % (4136530)Instruction limit reached!
% 14.65/4.80 % (4136530)------------------------------
% 14.65/4.80 % (4136530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.65/4.80 % (4136530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/4.80 % (4136530)CaDiCaL version: 2.1.3
% 14.65/4.80 % (4136530)Termination reason: Instruction limit
% 14.65/4.80 % (4136530)Termination phase: Saturation
% 14.65/4.80 % (4136530)Time elapsed: 0.736 s
% 14.65/4.80 % (4136530)Peak memory usage: 25 MB
% 14.65/4.80 % (4136530)Instructions burned: 1472 (million)
% 14.65/4.80 % (4136532)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=185028475:i=6324_2978 on theBenchmark for (2978ds/6324Mi)
% 14.65/4.80 % (4136532)Cannot represent all propositional literals internally
% 14.65/4.80 % (4136532)Refutation not found, incomplete strategy
% 14.65/4.80 % (4136532)------------------------------
% 14.65/4.80 % (4136532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.65/4.80 % (4136532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/4.80 % (4136532)CaDiCaL version: 2.1.3
% 14.65/4.80 % (4136532)Termination reason: Refutation not found, incomplete strategy
% 14.65/4.80 % (4136532)Time elapsed: 0.049 s
% 14.65/4.80 % (4136532)Peak memory usage: 13 MB
% 14.65/4.80 % (4136532)Instructions burned: 100 (million)
% 14.65/4.80 % (4136532)------------------------------
% 14.65/4.80 % (4136532)------------------------------
% 14.65/4.80 % (4136534)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3838900583:fmbsr=2.30978:i=2174_2978 on theBenchmark for (2978ds/2174Mi)
% 14.65/4.80 % TRYING [16]
% 14.65/4.80 % (4136534)Instruction limit reached!
% 14.65/4.80 % (4136534)------------------------------
% 14.65/4.80 % (4136534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.65/4.80 % (4136534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/4.80 % (4136534)CaDiCaL version: 2.1.3
% 14.65/4.80 % (4136534)Termination reason: Instruction limit
% 14.65/4.80 % (4136534)Termination phase: Finite model building constraint generation
% 14.65/4.80 % (4136534)Time elapsed: 0.822 s
% 14.65/4.80 % (4136534)Peak memory usage: 117 MB
% 14.65/4.80 % (4136534)Instructions burned: 2177 (million)
% 14.65/4.80 % TRYING [6]
% 14.65/4.80 % (4136536)ott-2_1_sil=16000:newcnf=on:random_seed=945570406:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2969 on theBenchmark for (2969ds/869Mi)
% 14.65/4.80 % (4136536)Instruction limit reached!
% 14.65/4.80 % (4136536)------------------------------
% 14.65/4.80 % (4136536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.65/4.80 % (4136536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/4.80 % (4136536)CaDiCaL version: 2.1.3
% 14.65/4.80 % (4136536)Termination reason: Instruction limit
% 14.65/4.80 % (4136536)Termination phase: Saturation
% 14.65/4.80 % (4136536)Time elapsed: 0.547 s
% 14.65/4.80 % (4136536)Peak memory usage: 22 MB
% 14.65/4.80 % (4136536)Instructions burned: 869 (million)
% 14.65/4.80 % (4136538)ott+10_1_sil=32000:tgt=ground:random_seed=4071265412:i=5114:av=off_2963 on theBenchmark for (2963ds/5114Mi)
% 14.65/4.80 % TRYING [6]
% 14.65/4.80 % (4136528)Instruction limit reached!
% 14.65/4.80 % (4136528)------------------------------
% 14.65/4.80 % (4136528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.65/4.80 % (4136528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/4.80 % (4136528)CaDiCaL version: 2.1.3
% 14.65/4.80 % (4136528)Termination reason: Instruction limit
% 14.65/4.80 % (4136528)Termination phase: Saturation
% 14.65/4.80 % (4136528)Time elapsed: 3.021 s
% 14.65/4.80 % (4136528)Peak memory usage: 46 MB
% 14.65/4.80 % (4136528)Instructions burned: 5131 (million)
% 14.65/4.80 % (4136540)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=4267360969:i=54282_2958 on theBenchmark for (2958ds/54282Mi)
% 14.65/4.80 % TRYING [1]
% 14.65/4.80 % TRYING [2]
% 14.65/4.80 % TRYING [3]
% 14.65/4.80 % (4136538) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4136483-4136538"...
% 14.65/4.80 % (4136538)...printing done.
% 14.65/4.80 % (4136538)Refutation found. Thanks to Tanya!
% 14.65/4.80 % SZS status Theorem for theBenchmark
% 14.65/4.80 % SZS output start Proof for theBenchmark
% See solution above
% 14.65/4.81 % (4136538)------------------------------
% 14.65/4.81 % (4136538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.65/4.81 % (4136538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/4.81 % (4136538)CaDiCaL version: 2.1.3
% 14.65/4.81 % (4136538)Termination reason: Refutation
% 14.65/4.81 % (4136538)Time elapsed: 0.625 s
% 14.65/4.81 % (4136538)Peak memory usage: 24 MB
% 14.65/4.81 % (4136538)Instructions burned: 1019 (million)
% 14.65/4.81 % (4136483)Success in time 4.357 s
% 14.65/4.81 % Vampire exiting
%------------------------------------------------------------------------------