%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU363+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 12:48:32 PM UTC 2026
% Result : Theorem 2.65s 1.31s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 14
% Syntax : Number of formulae : 105 ( 28 unt; 4 def)
% Number of atoms : 310 ( 26 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 324 ( 119 ~; 109 |; 59 &)
% ( 11 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 5 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 119 ( 0 sgn 107 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
=> relation(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f5,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( subrelstr(X1,X0)
=> ( full_subrelstr(X1,X0)
<=> the_InternalRel(X1) = relation_restriction_as_relation_of(the_InternalRel(X0),the_carrier(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d14_yellow_0) ).
fof(f6,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( related(X0,X1,X2)
<=> in(ordered_pair(X1,X2),the_InternalRel(X0)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_orders_2) ).
fof(f17,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( subrelstr(X1,X0)
=> rel_str(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_yellow_0) ).
fof(f18,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> element(X2,powerset(cartesian_product2(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f19,axiom,
! [X0] :
( rel_str(X0)
=> relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_orders_2) ).
fof(f34,axiom,
! [X0,X1] :
( relation(X0)
=> relation_restriction_as_relation_of(X0,X1) = relation_restriction(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_toler_1) ).
fof(f37,axiom,
! [X0,X1,X2,X3] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
<=> ( in(X0,X2)
& in(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t106_zfmisc_1) ).
fof(f38,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_restriction(X2,X1))
<=> ( in(X0,X2)
& in(X0,cartesian_product2(X1,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_wellord1) ).
fof(f44,conjecture,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( ( full_subrelstr(X1,X0)
& subrelstr(X1,X0) )
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ! [X3] :
( element(X3,the_carrier(X0))
=> ! [X4] :
( element(X4,the_carrier(X1))
=> ! [X5] :
( element(X5,the_carrier(X1))
=> ( ( X4 = X2
& X5 = X3
& related(X0,X2,X3)
& in(X4,the_carrier(X1))
& in(X5,the_carrier(X1)) )
=> related(X1,X4,X5) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t61_yellow_0) ).
fof(f45,negated_conjecture,
~ ! [X0] :
( rel_str(X0)
=> ! [X1] :
( ( full_subrelstr(X1,X0)
& subrelstr(X1,X0) )
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ! [X3] :
( element(X3,the_carrier(X0))
=> ! [X4] :
( element(X4,the_carrier(X1))
=> ! [X5] :
( element(X5,the_carrier(X1))
=> ( ( X4 = X2
& X5 = X3
& related(X0,X2,X3)
& in(X4,the_carrier(X1))
& in(X5,the_carrier(X1)) )
=> related(X1,X4,X5) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f55,plain,
! [X0,X1,X2] :
( relation(X2)
| ~ element(X2,powerset(cartesian_product2(X0,X1))) ),
inference(ennf_transformation,[],[f3]) ).
fof(f57,plain,
! [X0] :
( ! [X1] :
( ( full_subrelstr(X1,X0)
<=> the_InternalRel(X1) = relation_restriction_as_relation_of(the_InternalRel(X0),the_carrier(X1)) )
| ~ subrelstr(X1,X0) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f58,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( related(X0,X1,X2)
<=> in(ordered_pair(X1,X2),the_InternalRel(X0)) )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f61,plain,
! [X0] :
( ! [X1] :
( rel_str(X1)
| ~ subrelstr(X1,X0) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f62,plain,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f63,plain,
! [X0] :
( relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0))
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f69,plain,
! [X0,X1] :
( relation_restriction_as_relation_of(X0,X1) = relation_restriction(X0,X1)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ( in(X0,relation_restriction(X2,X1))
<=> ( in(X0,X2)
& in(X0,cartesian_product2(X1,X1)) ) )
| ~ relation(X2) ),
inference(ennf_transformation,[],[f38]) ).
fof(f78,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ related(X1,X4,X5)
& X4 = X2
& X5 = X3
& related(X0,X2,X3)
& in(X4,the_carrier(X1))
& in(X5,the_carrier(X1))
& element(X5,the_carrier(X1)) )
& element(X4,the_carrier(X1)) )
& element(X3,the_carrier(X0)) )
& element(X2,the_carrier(X0)) )
& full_subrelstr(X1,X0)
& subrelstr(X1,X0) )
& rel_str(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f79,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ related(X1,X4,X5)
& X4 = X2
& X5 = X3
& related(X0,X2,X3)
& in(X4,the_carrier(X1))
& in(X5,the_carrier(X1))
& element(X5,the_carrier(X1)) )
& element(X4,the_carrier(X1)) )
& element(X3,the_carrier(X0)) )
& element(X2,the_carrier(X0)) )
& full_subrelstr(X1,X0)
& subrelstr(X1,X0) )
& rel_str(X0) ),
inference(flattening,[],[f78]) ).
fof(f83,plain,
! [X0] :
( ! [X1] :
( ( ( full_subrelstr(X1,X0)
| the_InternalRel(X1) != relation_restriction_as_relation_of(the_InternalRel(X0),the_carrier(X1)) )
& ( the_InternalRel(X1) = relation_restriction_as_relation_of(the_InternalRel(X0),the_carrier(X1))
| ~ full_subrelstr(X1,X0) ) )
| ~ subrelstr(X1,X0) )
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f57]) ).
fof(f84,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( related(X0,X1,X2)
| ~ in(ordered_pair(X1,X2),the_InternalRel(X0)) )
& ( in(ordered_pair(X1,X2),the_InternalRel(X0))
| ~ related(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f58]) ).
fof(f96,plain,
! [X0,X1,X2,X3] :
( ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X0,X2)
| ~ in(X1,X3) )
& ( ( in(X0,X2)
& in(X1,X3) )
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f97,plain,
! [X0,X1,X2,X3] :
( ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X0,X2)
| ~ in(X1,X3) )
& ( ( in(X0,X2)
& in(X1,X3) )
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ) ),
inference(flattening,[],[f96]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ( ( in(X0,relation_restriction(X2,X1))
| ~ in(X0,X2)
| ~ in(X0,cartesian_product2(X1,X1)) )
& ( ( in(X0,X2)
& in(X0,cartesian_product2(X1,X1)) )
| ~ in(X0,relation_restriction(X2,X1)) ) )
| ~ relation(X2) ),
inference(nnf_transformation,[],[f70]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ( ( in(X0,relation_restriction(X2,X1))
| ~ in(X0,X2)
| ~ in(X0,cartesian_product2(X1,X1)) )
& ( ( in(X0,X2)
& in(X0,cartesian_product2(X1,X1)) )
| ~ in(X0,relation_restriction(X2,X1)) ) )
| ~ relation(X2) ),
inference(flattening,[],[f98]) ).
fof(f100,plain,
( ~ related(sK11,sK14,sK15)
& sK12 = sK14
& sK13 = sK15
& related(sK10,sK12,sK13)
& in(sK14,the_carrier(sK11))
& in(sK15,the_carrier(sK11))
& element(sK15,the_carrier(sK11))
& element(sK14,the_carrier(sK11))
& element(sK13,the_carrier(sK10))
& element(sK12,the_carrier(sK10))
& full_subrelstr(sK11,sK10)
& subrelstr(sK11,sK10)
& rel_str(sK10) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13,sK14,sK15]),skolemize(X0,sK10),skolemize(X1,sK11),skolemize(X2,sK12),skolemize(X3,sK13),skolemize(X4,sK14),skolemize(X5,sK15)],[f79]) ).
fof(f103,plain,
! [X2,X0,X1] :
( relation(X2)
| ~ element(X2,powerset(cartesian_product2(X0,X1))) ),
inference(cnf_transformation,[],[f55]) ).
fof(f105,plain,
! [X0,X1] :
( ~ full_subrelstr(X1,X0)
| the_InternalRel(X1) = relation_restriction_as_relation_of(the_InternalRel(X0),the_carrier(X1))
| ~ subrelstr(X1,X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f107,plain,
! [X2,X0,X1] :
( ~ related(X0,X1,X2)
| in(ordered_pair(X1,X2),the_InternalRel(X0))
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f108,plain,
! [X2,X0,X1] :
( ~ in(ordered_pair(X1,X2),the_InternalRel(X0))
| related(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f111,plain,
! [X0,X1] :
( rel_str(X1)
| ~ subrelstr(X1,X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f112,plain,
! [X2,X0,X1] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f113,plain,
! [X0] :
( relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f131,plain,
! [X0,X1] :
( relation_restriction_as_relation_of(X0,X1) = relation_restriction(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f137,plain,
! [X2,X3,X0,X1] :
( ~ in(X0,X2)
| in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X1,X3) ),
inference(cnf_transformation,[],[f97]) ).
fof(f140,plain,
! [X2,X0,X1] :
( ~ in(X0,cartesian_product2(X1,X1))
| ~ in(X0,X2)
| in(X0,relation_restriction(X2,X1))
| ~ relation(X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f146,plain,
rel_str(sK10),
inference(cnf_transformation,[],[f100]) ).
fof(f147,plain,
subrelstr(sK11,sK10),
inference(cnf_transformation,[],[f100]) ).
fof(f148,plain,
full_subrelstr(sK11,sK10),
inference(cnf_transformation,[],[f100]) ).
fof(f149,plain,
element(sK12,the_carrier(sK10)),
inference(cnf_transformation,[],[f100]) ).
fof(f150,plain,
element(sK13,the_carrier(sK10)),
inference(cnf_transformation,[],[f100]) ).
fof(f151,plain,
element(sK14,the_carrier(sK11)),
inference(cnf_transformation,[],[f100]) ).
fof(f152,plain,
element(sK15,the_carrier(sK11)),
inference(cnf_transformation,[],[f100]) ).
fof(f153,plain,
in(sK15,the_carrier(sK11)),
inference(cnf_transformation,[],[f100]) ).
fof(f154,plain,
in(sK14,the_carrier(sK11)),
inference(cnf_transformation,[],[f100]) ).
fof(f155,plain,
related(sK10,sK12,sK13),
inference(cnf_transformation,[],[f100]) ).
fof(f156,plain,
sK13 = sK15,
inference(cnf_transformation,[],[f100]) ).
fof(f157,plain,
sK12 = sK14,
inference(cnf_transformation,[],[f100]) ).
fof(f158,plain,
~ related(sK11,sK14,sK15),
inference(cnf_transformation,[],[f100]) ).
fof(f162,plain,
element(sK14,the_carrier(sK10)),
inference(forward_demodulation,[],[f149,f157]) ).
fof(f163,plain,
element(sK15,the_carrier(sK10)),
inference(forward_demodulation,[],[f150,f156]) ).
fof(f164,plain,
related(sK10,sK12,sK15),
inference(forward_demodulation,[],[f155,f156]) ).
fof(f165,plain,
related(sK10,sK14,sK15),
inference(forward_demodulation,[],[f164,f157]) ).
fof(f230,plain,
! [X0,X1] :
( ~ in(X0,X1)
| in(ordered_pair(sK14,X0),cartesian_product2(the_carrier(sK11),X1)) ),
inference(resolution,[],[f137,f154]) ).
fof(f237,plain,
( the_InternalRel(sK11) = relation_restriction_as_relation_of(the_InternalRel(sK10),the_carrier(sK11))
| ~ subrelstr(sK11,sK10)
| ~ rel_str(sK10) ),
inference(resolution,[],[f105,f148]) ).
fof(f238,plain,
( the_InternalRel(sK11) = relation_restriction_as_relation_of(the_InternalRel(sK10),the_carrier(sK11))
| ~ rel_str(sK10) ),
inference(forward_subsumption_resolution,[],[f237,f147]) ).
fof(f239,plain,
the_InternalRel(sK11) = relation_restriction_as_relation_of(the_InternalRel(sK10),the_carrier(sK11)),
inference(forward_subsumption_resolution,[],[f238,f146]) ).
fof(f248,plain,
( in(ordered_pair(sK14,sK15),the_InternalRel(sK10))
| ~ element(sK15,the_carrier(sK10))
| ~ element(sK14,the_carrier(sK10))
| ~ rel_str(sK10) ),
inference(resolution,[],[f107,f165]) ).
fof(f249,plain,
( in(ordered_pair(sK14,sK15),the_InternalRel(sK10))
| ~ element(sK14,the_carrier(sK10))
| ~ rel_str(sK10) ),
inference(forward_subsumption_resolution,[],[f248,f163]) ).
fof(f250,plain,
( in(ordered_pair(sK14,sK15),the_InternalRel(sK10))
| ~ rel_str(sK10) ),
inference(forward_subsumption_resolution,[],[f249,f162]) ).
fof(f251,plain,
in(ordered_pair(sK14,sK15),the_InternalRel(sK10)),
inference(forward_subsumption_resolution,[],[f250,f146]) ).
fof(f262,plain,
( the_InternalRel(sK11) = relation_restriction(the_InternalRel(sK10),the_carrier(sK11))
| ~ relation(the_InternalRel(sK10)) ),
inference(superposition,[],[f239,f131]) ).
fof(f267,definition,
( spl16_7
<=> relation(the_InternalRel(sK10)) ),
introduced(definition,[new_symbols(definition,[spl16_7])],[avatar_definition]) ).
fof(f268,plain,
( relation(the_InternalRel(sK10))
| ~ spl16_7 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f269,plain,
( ~ relation(the_InternalRel(sK10))
| spl16_7 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f271,definition,
( spl16_8
<=> the_InternalRel(sK11) = relation_restriction(the_InternalRel(sK10),the_carrier(sK11)) ),
introduced(definition,[new_symbols(definition,[spl16_8])],[avatar_definition]) ).
fof(f273,plain,
( the_InternalRel(sK11) = relation_restriction(the_InternalRel(sK10),the_carrier(sK11))
| ~ spl16_8 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f275,plain,
( ~ spl16_7
| spl16_8 ),
inference(avatar_split_clause,[],[f262,f271,f267]) ).
fof(f276,plain,
( ! [X0,X1] : ~ element(the_InternalRel(sK10),powerset(cartesian_product2(X0,X1)))
| spl16_7 ),
inference(resolution,[],[f269,f103]) ).
fof(f281,plain,
in(ordered_pair(sK14,sK15),cartesian_product2(the_carrier(sK11),the_carrier(sK11))),
inference(resolution,[],[f230,f153]) ).
fof(f300,plain,
( ! [X0,X1] : ~ relation_of2_as_subset(the_InternalRel(sK10),X0,X1)
| spl16_7 ),
inference(resolution,[],[f276,f112]) ).
fof(f307,plain,
( ~ rel_str(sK10)
| spl16_7 ),
inference(resolution,[],[f300,f113]) ).
fof(f309,plain,
( $false
| spl16_7 ),
inference(forward_subsumption_resolution,[],[f307,f146]) ).
fof(f310,plain,
spl16_7,
inference(avatar_contradiction_clause,[],[f309]) ).
fof(f407,definition,
( spl16_15
<=> rel_str(sK11) ),
introduced(definition,[new_symbols(definition,[spl16_15])],[avatar_definition]) ).
fof(f408,plain,
( rel_str(sK11)
| ~ spl16_15 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f409,plain,
( ~ rel_str(sK11)
| spl16_15 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f453,plain,
! [X0] :
( ~ relation(X0)
| in(ordered_pair(sK14,sK15),relation_restriction(X0,the_carrier(sK11)))
| ~ in(ordered_pair(sK14,sK15),X0) ),
inference(resolution,[],[f281,f140]) ).
fof(f924,plain,
( ! [X0] :
( ~ subrelstr(sK11,X0)
| ~ rel_str(X0) )
| spl16_15 ),
inference(resolution,[],[f409,f111]) ).
fof(f995,plain,
( ~ rel_str(sK10)
| spl16_15 ),
inference(resolution,[],[f924,f147]) ).
fof(f996,plain,
( $false
| spl16_15 ),
inference(forward_subsumption_resolution,[],[f995,f146]) ).
fof(f997,plain,
spl16_15,
inference(avatar_contradiction_clause,[],[f996]) ).
fof(f1707,plain,
( in(ordered_pair(sK14,sK15),relation_restriction(the_InternalRel(sK10),the_carrier(sK11)))
| ~ in(ordered_pair(sK14,sK15),the_InternalRel(sK10))
| ~ spl16_7 ),
inference(resolution,[],[f453,f268]) ).
fof(f1711,plain,
( in(ordered_pair(sK14,sK15),relation_restriction(the_InternalRel(sK10),the_carrier(sK11)))
| ~ spl16_7 ),
inference(forward_subsumption_resolution,[],[f1707,f251]) ).
fof(f1712,plain,
( in(ordered_pair(sK14,sK15),the_InternalRel(sK11))
| ~ spl16_7
| ~ spl16_8 ),
inference(forward_demodulation,[],[f1711,f273]) ).
fof(f1744,definition,
( spl16_105
<=> in(ordered_pair(sK14,sK15),the_InternalRel(sK11)) ),
introduced(definition,[new_symbols(definition,[spl16_105])],[avatar_definition]) ).
fof(f1745,plain,
( in(ordered_pair(sK14,sK15),the_InternalRel(sK11))
| ~ spl16_105 ),
inference(avatar_component_clause,[],[f1744]) ).
fof(f1752,plain,
( spl16_105
| ~ spl16_7
| ~ spl16_8 ),
inference(avatar_split_clause,[],[f1712,f271,f267,f1744]) ).
fof(f1826,plain,
( related(sK11,sK14,sK15)
| ~ element(sK15,the_carrier(sK11))
| ~ element(sK14,the_carrier(sK11))
| ~ rel_str(sK11)
| ~ spl16_105 ),
inference(resolution,[],[f1745,f108]) ).
fof(f1844,plain,
( ~ element(sK15,the_carrier(sK11))
| ~ element(sK14,the_carrier(sK11))
| ~ rel_str(sK11)
| ~ spl16_105 ),
inference(forward_subsumption_resolution,[],[f1826,f158]) ).
fof(f1845,plain,
( ~ element(sK14,the_carrier(sK11))
| ~ rel_str(sK11)
| ~ spl16_105 ),
inference(forward_subsumption_resolution,[],[f1844,f152]) ).
fof(f1846,plain,
( ~ rel_str(sK11)
| ~ spl16_105 ),
inference(forward_subsumption_resolution,[],[f1845,f151]) ).
fof(f1847,plain,
( $false
| ~ spl16_15
| ~ spl16_105 ),
inference(forward_subsumption_resolution,[],[f1846,f408]) ).
fof(f1848,plain,
( ~ spl16_15
| ~ spl16_105 ),
inference(avatar_contradiction_clause,[],[f1847]) ).
cnf(s6,plain,
( ~ spl16_7
| spl16_8 ),
inference(sat_conversion,[],[f275]) ).
cnf(s8,plain,
spl16_7,
inference(sat_conversion,[],[f310]) ).
cnf(s47,plain,
spl16_15,
inference(sat_conversion,[],[f997]) ).
cnf(s97,plain,
( ~ spl16_7
| ~ spl16_8
| spl16_105 ),
inference(sat_conversion,[],[f1752]) ).
cnf(s105,plain,
( ~ spl16_15
| ~ spl16_105 ),
inference(sat_conversion,[],[f1848]) ).
cnf(s110,plain,
~ spl16_105,
inference(rat,[],[s105,s47]) ).
cnf(s116,plain,
~ spl16_8,
inference(rat,[],[s97,s110,s8]) ).
cnf(s117,plain,
$false,
inference(rat,[],[s6,s116,s8]) ).
fof(f1849,plain,
$false,
inference(avatar_sat_refutation,[],[s117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU363+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n016.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 04:59:48 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.65/1.31 % (3268434)Detected formulas, will run a generic FOF schedule.
% 2.65/1.31 % (3268439)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=2197584352:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.65/1.31 % (3268445)dis-21_1_sil=8000:lcm=predicate:random_seed=4188385370:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.65/1.31 % (3268441)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3370339838:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.65/1.31 % (3268440)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3972059701:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.65/1.31 % (3268442)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2482929889:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.65/1.31 % (3268443)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3669768690:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.65/1.31 % (3268444)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=552334944:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.65/1.31 % (3268442)Refutation not found, incomplete strategy
% 2.65/1.31 % (3268442)------------------------------
% 2.65/1.31 % (3268442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.31 % (3268442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.31 % (3268442)CaDiCaL version: 2.1.3
% 2.65/1.31 % (3268442)Termination reason: Refutation not found, incomplete strategy
% 2.65/1.31 % (3268442)Time elapsed: 0.002 s
% 2.65/1.31 % (3268442)Peak memory usage: 88 MB
% 2.65/1.31 % (3268442)Instructions burned: 2 (million)
% 2.65/1.31 % (3268444)First to succeed.
% 2.65/1.31 % (3268444)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3268434"
% 2.65/1.31 % (3268443)Instruction limit reached!
% 2.65/1.31 % (3268443)------------------------------
% 2.65/1.31 % (3268443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.31 % (3268443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.31 % (3268443)CaDiCaL version: 2.1.3
% 2.65/1.31 % (3268443)Termination reason: Instruction limit
% 2.65/1.31 % (3268443)Termination phase: Saturation
% 2.65/1.31 % (3268443)Time elapsed: 0.077 s
% 2.65/1.31 % (3268443)Peak memory usage: 89 MB
% 2.65/1.31 % (3268443)Instructions burned: 121 (million)
% 2.65/1.31 % (3268445)Instruction limit reached!
% 2.65/1.31 % (3268445)------------------------------
% 2.65/1.31 % (3268445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.31 % (3268445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.31 % (3268445)CaDiCaL version: 2.1.3
% 2.65/1.31 % (3268445)Termination reason: Instruction limit
% 2.65/1.31 % (3268445)Termination phase: Saturation
% 2.65/1.31 % (3268445)Time elapsed: 0.081 s
% 2.65/1.31 % (3268445)Peak memory usage: 90 MB
% 2.65/1.31 % (3268445)Instructions burned: 131 (million)
% 2.65/1.31 % (3268453)lrs+10_1_sil=8000:sp=occurrence:random_seed=1198547212:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.65/1.31 % (3268454)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3317156272:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.65/1.31 % (3268442)------------------------------
% 2.65/1.31 % (3268442)------------------------------
% 2.65/1.31 % (3268454)Instruction limit reached!
% 2.65/1.31 % (3268454)------------------------------
% 2.65/1.31 % (3268454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.31 % (3268454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.31 % (3268454)CaDiCaL version: 2.1.3
% 2.65/1.31 % (3268454)Termination reason: Instruction limit
% 2.65/1.31 % (3268454)Termination phase: Saturation
% 2.65/1.31 % (3268454)Time elapsed: 0.077 s
% 2.65/1.31 % (3268454)Peak memory usage: 89 MB
% 2.65/1.31 % (3268454)Instructions burned: 157 (million)
% 2.65/1.31 % (3268444)Refutation found. Thanks to Tanya!
% 2.65/1.31 % SZS status Theorem for theBenchmark
% 2.65/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/1.51 % (3268444)------------------------------
% 0.15/1.51 % (3268444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.51 % (3268444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.51 % (3268444)CaDiCaL version: 2.1.3
% 0.15/1.51 % (3268444)Termination reason: Refutation
% 0.15/1.51 % (3268444)Time elapsed: 0.050 s
% 0.15/1.51 % (3268444)Peak memory usage: 90 MB
% 0.15/1.51 % (3268444)Instructions burned: 67 (million)
% 0.15/1.51 % (3268444)------------------------------
% 0.15/1.51 % (3268444)------------------------------
% 0.15/1.51 % (3268434)Success in time 0.455 s
% 0.15/1.51 % Vampire exiting
%------------------------------------------------------------------------------