%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PRO006+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 12:30:22 PM UTC 2026
% Result : Theorem 5.77s 1.76s
% Output : Refutation 6.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 37
% Syntax : Number of formulae : 269 ( 22 unt; 18 def)
% Number of atoms : 803 ( 61 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 909 ( 375 ~; 436 |; 61 &)
% ( 24 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 32 ( 30 usr; 19 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-3 aty)
% Number of variables : 248 ( 0 sgn 221 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( occurrence_of(X1,X0)
=> ( activity(X0)
& activity_occurrence(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos) ).
fof(f2,axiom,
! [X0] :
( activity_occurrence(X0)
=> ? [X1] :
( activity(X1)
& occurrence_of(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01) ).
fof(f3,axiom,
! [X0,X1,X2] :
( ( occurrence_of(X0,X1)
& occurrence_of(X0,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
fof(f8,axiom,
! [X0,X1] :
( occurrence_of(X0,X1)
=> ( arboreal(X0)
<=> atomic(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).
fof(f15,axiom,
! [X0,X1,X2] :
( min_precedes(X0,X1,X2)
=> ~ root(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_14) ).
fof(f22,axiom,
! [X0,X1] :
( leaf(X0,X1)
<=> ( ( root(X0,X1)
| ? [X2] : min_precedes(X2,X0,X1) )
& ~ ? [X3] : min_precedes(X0,X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_21) ).
fof(f23,axiom,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
<=> ( min_precedes(X0,X1,X2)
& ~ ? [X3] :
( min_precedes(X0,X3,X2)
& min_precedes(X3,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_22) ).
fof(f26,axiom,
! [X0,X1,X2] :
( min_precedes(X1,X2,X0)
=> ? [X3] :
( occurrence_of(X3,X0)
& subactivity_occurrence(X1,X3)
& subactivity_occurrence(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_25) ).
fof(f29,axiom,
! [X0,X1,X2,X3] :
( ( occurrence_of(X1,X0)
& arboreal(X2)
& arboreal(X3)
& subactivity_occurrence(X2,X1)
& subactivity_occurrence(X3,X1) )
=> ( min_precedes(X2,X3,X0)
| min_precedes(X3,X2,X0)
| X2 = X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_28) ).
fof(f34,axiom,
! [X0,X1] :
( root_occ(X0,X1)
<=> ? [X2] :
( occurrence_of(X1,X2)
& subactivity_occurrence(X0,X1)
& root(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_33) ).
fof(f35,axiom,
! [X0,X1] :
( leaf_occ(X0,X1)
<=> ? [X2] :
( occurrence_of(X1,X2)
& subactivity_occurrence(X0,X1)
& leaf(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_34) ).
fof(f36,axiom,
! [X0] :
( occurrence_of(X0,tptp0)
=> ? [X1,X2] :
( occurrence_of(X1,tptp4)
& root_occ(X1,X0)
& occurrence_of(X2,tptp3)
& leaf_occ(X2,X0)
& next_subocc(X1,X2,tptp0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_35) ).
fof(f39,axiom,
atomic(tptp4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_38) ).
fof(f40,axiom,
atomic(tptp3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_39) ).
fof(f42,axiom,
atomic(tptp1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_41) ).
fof(f43,axiom,
tptp4 != tptp1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_42) ).
fof(f46,axiom,
tptp1 != tptp3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_45) ).
fof(f49,axiom,
! [X0,X1] :
( ( occurrence_of(X1,tptp0)
& subactivity_occurrence(X0,X1)
& arboreal(X0)
& ~ leaf_occ(X0,X1) )
=> ? [X2] :
( occurrence_of(X2,tptp1)
& next_subocc(X0,X2,tptp0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_48) ).
fof(f50,conjecture,
~ ? [X0] : occurrence_of(X0,tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f51,negated_conjecture,
~ ~ ? [X0] : occurrence_of(X0,tptp0),
inference(negated_conjecture,[status(cth)],[f50]) ).
fof(f52,plain,
? [X0] : occurrence_of(X0,tptp0),
inference(flattening,[],[f51]) ).
fof(f53,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
=> ? [X2] :
( occurrence_of(X1,X2)
& subactivity_occurrence(X0,X1)
& leaf(X0,X2) ) ),
inference(unused_predicate_definition_removal,[],[f35]) ).
fof(f54,plain,
! [X0,X1] :
( leaf(X0,X1)
=> ( ( root(X0,X1)
| ? [X2] : min_precedes(X2,X0,X1) )
& ~ ? [X3] : min_precedes(X0,X3,X1) ) ),
inference(unused_predicate_definition_removal,[],[f22]) ).
fof(f55,plain,
! [X0,X1] :
( root_occ(X0,X1)
=> ? [X2] :
( occurrence_of(X1,X2)
& subactivity_occurrence(X0,X1)
& root(X0,X2) ) ),
inference(unused_predicate_definition_removal,[],[f34]) ).
fof(f56,plain,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
=> ( min_precedes(X0,X1,X2)
& ~ ? [X3] :
( min_precedes(X0,X3,X2)
& min_precedes(X3,X1,X2) ) ) ),
inference(unused_predicate_definition_removal,[],[f23]) ).
fof(f57,plain,
! [X0,X1] :
( ( activity(X0)
& activity_occurrence(X1) )
| ~ occurrence_of(X1,X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f58,plain,
! [X0] :
( ? [X1] :
( activity(X1)
& occurrence_of(X0,X1) )
| ~ activity_occurrence(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f59,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f60,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2) ),
inference(flattening,[],[f59]) ).
fof(f67,plain,
! [X0,X1] :
( ( arboreal(X0)
<=> atomic(X1) )
| ~ occurrence_of(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ~ root(X1,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(ennf_transformation,[],[f15]) ).
fof(f84,plain,
! [X0,X1] :
( ( ( root(X0,X1)
| ? [X2] : min_precedes(X2,X0,X1) )
& ! [X3] : ~ min_precedes(X0,X3,X1) )
| ~ leaf(X0,X1) ),
inference(ennf_transformation,[],[f54]) ).
fof(f85,plain,
! [X0,X1,X2] :
( ( min_precedes(X0,X1,X2)
& ! [X3] :
( ~ min_precedes(X0,X3,X2)
| ~ min_precedes(X3,X1,X2) ) )
| ~ next_subocc(X0,X1,X2) ),
inference(ennf_transformation,[],[f56]) ).
fof(f87,plain,
! [X0,X1,X2] :
( ? [X3] :
( occurrence_of(X3,X0)
& subactivity_occurrence(X1,X3)
& subactivity_occurrence(X2,X3) )
| ~ min_precedes(X1,X2,X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f92,plain,
! [X0,X1,X2,X3] :
( min_precedes(X2,X3,X0)
| min_precedes(X3,X2,X0)
| X2 = X3
| ~ occurrence_of(X1,X0)
| ~ arboreal(X2)
| ~ arboreal(X3)
| ~ subactivity_occurrence(X2,X1)
| ~ subactivity_occurrence(X3,X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f93,plain,
! [X0,X1,X2,X3] :
( min_precedes(X2,X3,X0)
| min_precedes(X3,X2,X0)
| X2 = X3
| ~ occurrence_of(X1,X0)
| ~ arboreal(X2)
| ~ arboreal(X3)
| ~ subactivity_occurrence(X2,X1)
| ~ subactivity_occurrence(X3,X1) ),
inference(flattening,[],[f92]) ).
fof(f102,plain,
! [X0,X1] :
( ? [X2] :
( occurrence_of(X1,X2)
& subactivity_occurrence(X0,X1)
& root(X0,X2) )
| ~ root_occ(X0,X1) ),
inference(ennf_transformation,[],[f55]) ).
fof(f103,plain,
! [X0,X1] :
( ? [X2] :
( occurrence_of(X1,X2)
& subactivity_occurrence(X0,X1)
& leaf(X0,X2) )
| ~ leaf_occ(X0,X1) ),
inference(ennf_transformation,[],[f53]) ).
fof(f104,plain,
! [X0] :
( ? [X1,X2] :
( occurrence_of(X1,tptp4)
& root_occ(X1,X0)
& occurrence_of(X2,tptp3)
& leaf_occ(X2,X0)
& next_subocc(X1,X2,tptp0) )
| ~ occurrence_of(X0,tptp0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f105,plain,
! [X0,X1] :
( ? [X2] :
( occurrence_of(X2,tptp1)
& next_subocc(X0,X2,tptp0) )
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f106,plain,
! [X0,X1] :
( ? [X2] :
( occurrence_of(X2,tptp1)
& next_subocc(X0,X2,tptp0) )
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(flattening,[],[f105]) ).
fof(f107,plain,
! [X0] :
( ( activity(sK0(X0))
& occurrence_of(X0,sK0(X0)) )
| ~ activity_occurrence(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f58]) ).
fof(f108,plain,
! [X0,X1] :
( ( ( arboreal(X0)
| ~ atomic(X1) )
& ( atomic(X1)
| ~ arboreal(X0) ) )
| ~ occurrence_of(X0,X1) ),
inference(nnf_transformation,[],[f67]) ).
fof(f114,plain,
! [X0,X1] :
( ( ( root(X0,X1)
| min_precedes(sK5(X0,X1),X0,X1) )
& ! [X3] : ~ min_precedes(X0,X3,X1) )
| ~ leaf(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0,X1))],[f84]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ( occurrence_of(sK7(X0,X1,X2),X0)
& subactivity_occurrence(X1,sK7(X0,X1,X2))
& subactivity_occurrence(X2,sK7(X0,X1,X2)) )
| ~ min_precedes(X1,X2,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X3,sK7(X0,X1,X2))],[f87]) ).
fof(f122,plain,
! [X0,X1] :
( ( occurrence_of(X1,sK11(X0,X1))
& subactivity_occurrence(X0,X1)
& root(X0,sK11(X0,X1)) )
| ~ root_occ(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X2,sK11(X0,X1))],[f102]) ).
fof(f123,plain,
! [X0,X1] :
( ( occurrence_of(X1,sK12(X0,X1))
& subactivity_occurrence(X0,X1)
& leaf(X0,sK12(X0,X1)) )
| ~ leaf_occ(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f103]) ).
fof(f124,plain,
! [X0] :
( ( occurrence_of(sK13(X0),tptp4)
& root_occ(sK13(X0),X0)
& occurrence_of(sK14(X0),tptp3)
& leaf_occ(sK14(X0),X0)
& next_subocc(sK13(X0),sK14(X0),tptp0) )
| ~ occurrence_of(X0,tptp0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14]),skolemize(X1,sK13(X0)),skolemize(X2,sK14(X0))],[f104]) ).
fof(f125,plain,
! [X0,X1] :
( ( occurrence_of(sK15(X0),tptp1)
& next_subocc(X0,sK15(X0),tptp0) )
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(X2,sK15(X0))],[f106]) ).
fof(f126,plain,
occurrence_of(sK16,tptp0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X0,sK16)],[f52]) ).
fof(f127,plain,
! [X0,X1] :
( ~ occurrence_of(X1,X0)
| activity_occurrence(X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f129,plain,
! [X0] :
( occurrence_of(X0,sK0(X0))
| ~ activity_occurrence(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f131,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f60]) ).
fof(f137,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ~ atomic(X1)
| arboreal(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f151,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| ~ root(X1,X2) ),
inference(cnf_transformation,[],[f74]) ).
fof(f158,plain,
! [X3,X0,X1] :
( ~ min_precedes(X0,X3,X1)
| ~ leaf(X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f160,plain,
! [X2,X3,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| ~ min_precedes(X3,X1,X2)
| ~ min_precedes(X0,X3,X2) ),
inference(cnf_transformation,[],[f85]) ).
fof(f161,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f85]) ).
fof(f168,plain,
! [X2,X0,X1] :
( subactivity_occurrence(X2,sK7(X0,X1,X2))
| ~ min_precedes(X1,X2,X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f170,plain,
! [X2,X0,X1] :
( occurrence_of(sK7(X0,X1,X2),X0)
| ~ min_precedes(X1,X2,X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f175,plain,
! [X2,X3,X0,X1] :
( ~ subactivity_occurrence(X3,X1)
| min_precedes(X3,X2,X0)
| X2 = X3
| ~ occurrence_of(X1,X0)
| ~ arboreal(X2)
| ~ arboreal(X3)
| ~ subactivity_occurrence(X2,X1)
| min_precedes(X2,X3,X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f181,plain,
! [X0,X1] :
( root(X0,sK11(X0,X1))
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f122]) ).
fof(f182,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f122]) ).
fof(f183,plain,
! [X0,X1] :
( occurrence_of(X1,sK11(X0,X1))
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f122]) ).
fof(f184,plain,
! [X0,X1] :
( leaf(X0,sK12(X0,X1))
| ~ leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f185,plain,
! [X0,X1] :
( ~ leaf_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f186,plain,
! [X0,X1] :
( occurrence_of(X1,sK12(X0,X1))
| ~ leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f187,plain,
! [X0] :
( next_subocc(sK13(X0),sK14(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f188,plain,
! [X0] :
( leaf_occ(sK14(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f189,plain,
! [X0] :
( occurrence_of(sK14(X0),tptp3)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f190,plain,
! [X0] :
( root_occ(sK13(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f191,plain,
! [X0] :
( occurrence_of(sK13(X0),tptp4)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f194,plain,
atomic(tptp4),
inference(cnf_transformation,[],[f39]) ).
fof(f195,plain,
atomic(tptp3),
inference(cnf_transformation,[],[f40]) ).
fof(f197,plain,
atomic(tptp1),
inference(cnf_transformation,[],[f42]) ).
fof(f198,plain,
tptp4 != tptp1,
inference(cnf_transformation,[],[f43]) ).
fof(f201,plain,
tptp3 != tptp1,
inference(cnf_transformation,[],[f46]) ).
fof(f204,plain,
! [X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| next_subocc(X0,sK15(X0),tptp0)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f125]) ).
fof(f205,plain,
! [X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| occurrence_of(sK15(X0),tptp1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f125]) ).
fof(f206,plain,
occurrence_of(sK16,tptp0),
inference(cnf_transformation,[],[f126]) ).
fof(f213,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ atomic(tptp4)
| arboreal(sK13(X0)) ),
inference(resolution,[],[f191,f137]) ).
fof(f215,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| arboreal(sK13(X0)) ),
inference(forward_subsumption_resolution,[],[f213,f194]) ).
fof(f217,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ atomic(tptp3)
| arboreal(sK14(X0)) ),
inference(resolution,[],[f189,f137]) ).
fof(f219,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| arboreal(sK14(X0)) ),
inference(forward_subsumption_resolution,[],[f217,f195]) ).
fof(f223,plain,
! [X2,X3,X0,X1,X4] :
( ~ subactivity_occurrence(X3,sK7(X2,X0,X1))
| min_precedes(X1,X3,X4)
| X1 = X3
| ~ occurrence_of(sK7(X2,X0,X1),X4)
| ~ arboreal(X3)
| ~ arboreal(X1)
| ~ min_precedes(X0,X1,X2)
| min_precedes(X3,X1,X4) ),
inference(resolution,[],[f168,f175]) ).
fof(f232,plain,
! [X2,X0,X1] :
( ~ leaf_occ(X0,X1)
| ~ occurrence_of(X1,X2)
| sK12(X0,X1) = X2 ),
inference(resolution,[],[f186,f131]) ).
fof(f250,plain,
! [X0] :
( subactivity_occurrence(sK13(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f182,f190]) ).
fof(f252,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ occurrence_of(X0,tptp0)
| next_subocc(sK13(X0),sK15(sK13(X0)),tptp0)
| ~ arboreal(sK13(X0))
| leaf_occ(sK13(X0),X0) ),
inference(resolution,[],[f250,f204]) ).
fof(f253,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ occurrence_of(X0,tptp0)
| occurrence_of(sK15(sK13(X0)),tptp1)
| ~ arboreal(sK13(X0))
| leaf_occ(sK13(X0),X0) ),
inference(resolution,[],[f250,f205]) ).
fof(f254,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| occurrence_of(sK15(sK13(X0)),tptp1)
| ~ arboreal(sK13(X0))
| leaf_occ(sK13(X0),X0) ),
inference(duplicate_literal_removal,[],[f253]) ).
fof(f255,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| next_subocc(sK13(X0),sK15(sK13(X0)),tptp0)
| ~ arboreal(sK13(X0))
| leaf_occ(sK13(X0),X0) ),
inference(duplicate_literal_removal,[],[f252]) ).
fof(f256,plain,
! [X0] :
( occurrence_of(sK15(sK13(X0)),tptp1)
| leaf_occ(sK13(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(forward_subsumption_resolution,[],[f254,f215]) ).
fof(f257,plain,
! [X0] :
( next_subocc(sK13(X0),sK15(sK13(X0)),tptp0)
| ~ occurrence_of(X0,tptp0)
| leaf_occ(sK13(X0),X0) ),
inference(forward_subsumption_resolution,[],[f255,f215]) ).
fof(f262,plain,
! [X0,X1] :
( ~ occurrence_of(sK15(sK13(X0)),X1)
| ~ occurrence_of(X0,tptp0)
| leaf_occ(sK13(X0),X0)
| tptp1 = X1 ),
inference(resolution,[],[f256,f131]) ).
fof(f270,plain,
! [X0,X1] :
( ~ occurrence_of(X0,tptp0)
| sK12(sK13(X0),X0) = X1
| occurrence_of(sK15(sK13(X0)),tptp1)
| ~ occurrence_of(X0,X1) ),
inference(resolution,[],[f232,f256]) ).
fof(f281,plain,
! [X2,X3,X0,X1] :
( ~ occurrence_of(sK7(X2,X0,X1),X3)
| ~ min_precedes(X0,X1,X2)
| X2 = X3 ),
inference(resolution,[],[f170,f131]) ).
fof(f283,plain,
! [X0,X1] :
( ~ min_precedes(X0,X1,tptp0)
| arboreal(sK14(sK7(tptp0,X0,X1))) ),
inference(resolution,[],[f170,f219]) ).
fof(f284,plain,
! [X0,X1] :
( ~ min_precedes(X0,X1,tptp0)
| arboreal(sK13(sK7(tptp0,X0,X1))) ),
inference(resolution,[],[f170,f215]) ).
fof(f413,plain,
! [X0] :
( sK12(sK13(sK16),sK16) = X0
| occurrence_of(sK15(sK13(sK16)),tptp1)
| ~ occurrence_of(sK16,X0) ),
inference(resolution,[],[f270,f206]) ).
fof(f415,definition,
( spl17_12
<=> occurrence_of(sK15(sK13(sK16)),tptp1) ),
introduced(definition,[new_symbols(definition,[spl17_12])],[avatar_definition]) ).
fof(f416,plain,
( ~ occurrence_of(sK15(sK13(sK16)),tptp1)
| spl17_12 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f417,plain,
( occurrence_of(sK15(sK13(sK16)),tptp1)
| ~ spl17_12 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f419,definition,
( spl17_13
<=> ! [X0] :
( sK12(sK13(sK16),sK16) = X0
| ~ occurrence_of(sK16,X0) ) ),
introduced(definition,[new_symbols(definition,[spl17_13])],[avatar_definition]) ).
fof(f420,plain,
( ! [X0] :
( ~ occurrence_of(sK16,X0)
| sK12(sK13(sK16),sK16) = X0 )
| ~ spl17_13 ),
inference(avatar_component_clause,[],[f419]) ).
fof(f421,plain,
( spl17_12
| spl17_13 ),
inference(avatar_split_clause,[],[f413,f419,f415]) ).
fof(f426,plain,
( ~ atomic(tptp1)
| arboreal(sK15(sK13(sK16)))
| ~ spl17_12 ),
inference(resolution,[],[f417,f137]) ).
fof(f428,plain,
( arboreal(sK15(sK13(sK16)))
| ~ spl17_12 ),
inference(forward_subsumption_resolution,[],[f426,f197]) ).
fof(f430,plain,
( tptp0 = sK12(sK13(sK16),sK16)
| ~ spl17_13 ),
inference(resolution,[],[f420,f206]) ).
fof(f433,plain,
( leaf(sK13(sK16),tptp0)
| ~ leaf_occ(sK13(sK16),sK16)
| ~ spl17_13 ),
inference(superposition,[],[f184,f430]) ).
fof(f436,definition,
( spl17_14
<=> leaf_occ(sK13(sK16),sK16) ),
introduced(definition,[new_symbols(definition,[spl17_14])],[avatar_definition]) ).
fof(f437,plain,
( leaf_occ(sK13(sK16),sK16)
| ~ spl17_14 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f438,plain,
( ~ leaf_occ(sK13(sK16),sK16)
| spl17_14 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f440,definition,
( spl17_15
<=> leaf(sK13(sK16),tptp0) ),
introduced(definition,[new_symbols(definition,[spl17_15])],[avatar_definition]) ).
fof(f442,plain,
( leaf(sK13(sK16),tptp0)
| ~ spl17_15 ),
inference(avatar_component_clause,[],[f440]) ).
fof(f443,plain,
( ~ spl17_14
| spl17_15
| ~ spl17_13 ),
inference(avatar_split_clause,[],[f433,f419,f440,f436]) ).
fof(f444,plain,
( leaf_occ(sK13(sK16),sK16)
| ~ occurrence_of(sK16,tptp0)
| spl17_12 ),
inference(resolution,[],[f416,f256]) ).
fof(f450,plain,
( ~ occurrence_of(sK16,tptp0)
| spl17_12
| spl17_14 ),
inference(forward_subsumption_resolution,[],[f444,f438]) ).
fof(f451,plain,
( $false
| spl17_12
| spl17_14 ),
inference(forward_subsumption_resolution,[],[f450,f206]) ).
fof(f452,plain,
( spl17_12
| spl17_14 ),
inference(avatar_contradiction_clause,[],[f451]) ).
fof(f539,plain,
! [X0] :
( min_precedes(sK13(X0),sK14(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f161,f187]) ).
fof(f540,plain,
! [X0] :
( min_precedes(sK13(X0),sK15(sK13(X0)),tptp0)
| ~ occurrence_of(X0,tptp0)
| leaf_occ(sK13(X0),X0) ),
inference(resolution,[],[f161,f257]) ).
fof(f542,plain,
! [X0] :
( ~ leaf(sK13(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f539,f158]) ).
fof(f559,plain,
! [X0,X1] :
( ~ activity_occurrence(X0)
| ~ occurrence_of(X0,X1)
| sK0(X0) = X1 ),
inference(resolution,[],[f129,f131]) ).
fof(f580,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| sK0(X0) = X1 ),
inference(forward_subsumption_resolution,[],[f559,f127]) ).
fof(f585,plain,
! [X0,X1] :
( ~ leaf_occ(X1,X0)
| sK0(X0) = sK12(X1,X0) ),
inference(resolution,[],[f580,f186]) ).
fof(f586,plain,
! [X0,X1] :
( ~ root_occ(X1,X0)
| sK0(X0) = sK11(X1,X0) ),
inference(resolution,[],[f580,f183]) ).
fof(f606,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| sK0(X0) = sK11(sK13(X0),X0) ),
inference(resolution,[],[f586,f190]) ).
fof(f612,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| sK0(X0) = sK12(sK14(X0),X0) ),
inference(resolution,[],[f585,f188]) ).
fof(f672,plain,
! [X2,X3,X0,X1] :
( ~ leaf_occ(X3,sK7(X2,X0,X1))
| sK12(X3,sK7(X2,X0,X1)) = X2
| ~ min_precedes(X0,X1,X2) ),
inference(resolution,[],[f281,f186]) ).
fof(f680,plain,
! [X2,X0,X1] :
( ~ occurrence_of(sK7(X0,X1,X2),tptp0)
| ~ min_precedes(X1,X2,X0)
| sK12(sK14(sK7(X0,X1,X2)),sK7(X0,X1,X2)) = X0 ),
inference(resolution,[],[f672,f188]) ).
fof(f687,plain,
! [X0,X1] :
( ~ min_precedes(X0,X1,tptp0)
| tptp0 = sK12(sK14(sK7(tptp0,X0,X1)),sK7(tptp0,X0,X1))
| ~ min_precedes(X0,X1,tptp0) ),
inference(resolution,[],[f680,f170]) ).
fof(f688,plain,
! [X0,X1] :
( ~ min_precedes(X0,X1,tptp0)
| tptp0 = sK12(sK14(sK7(tptp0,X0,X1)),sK7(tptp0,X0,X1)) ),
inference(duplicate_literal_removal,[],[f687]) ).
fof(f690,plain,
! [X0] :
( leaf_occ(sK13(X0),X0)
| ~ occurrence_of(X0,tptp0)
| tptp0 = sK12(sK14(sK7(tptp0,sK13(X0),sK15(sK13(X0)))),sK7(tptp0,sK13(X0),sK15(sK13(X0)))) ),
inference(resolution,[],[f688,f540]) ).
fof(f787,plain,
( ~ occurrence_of(sK16,tptp0)
| tptp0 = sK12(sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
| spl17_14 ),
inference(resolution,[],[f690,f438]) ).
fof(f794,plain,
( tptp0 = sK12(sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
| spl17_14 ),
inference(forward_subsumption_resolution,[],[f787,f206]) ).
fof(f795,plain,
( leaf(sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),tptp0)
| ~ leaf_occ(sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
| spl17_14 ),
inference(superposition,[],[f184,f794]) ).
fof(f798,definition,
( spl17_25
<=> leaf_occ(sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))) ),
introduced(definition,[new_symbols(definition,[spl17_25])],[avatar_definition]) ).
fof(f799,plain,
( leaf_occ(sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
| ~ spl17_25 ),
inference(avatar_component_clause,[],[f798]) ).
fof(f800,plain,
( ~ leaf_occ(sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
| spl17_25 ),
inference(avatar_component_clause,[],[f798]) ).
fof(f802,definition,
( spl17_26
<=> occurrence_of(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))),tptp0) ),
introduced(definition,[new_symbols(definition,[spl17_26])],[avatar_definition]) ).
fof(f803,plain,
( ~ occurrence_of(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))),tptp0)
| spl17_26 ),
inference(avatar_component_clause,[],[f802]) ).
fof(f804,plain,
( occurrence_of(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))),tptp0)
| ~ spl17_26 ),
inference(avatar_component_clause,[],[f802]) ).
fof(f807,definition,
( spl17_27
<=> leaf(sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),tptp0) ),
introduced(definition,[new_symbols(definition,[spl17_27])],[avatar_definition]) ).
fof(f809,plain,
( leaf(sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),tptp0)
| ~ spl17_27 ),
inference(avatar_component_clause,[],[f807]) ).
fof(f810,plain,
( ~ spl17_25
| spl17_27
| spl17_14 ),
inference(avatar_split_clause,[],[f795,f436,f807,f798]) ).
fof(f811,plain,
( ~ occurrence_of(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))),tptp0)
| spl17_25 ),
inference(resolution,[],[f800,f188]) ).
fof(f812,plain,
( ~ spl17_26
| spl17_25 ),
inference(avatar_split_clause,[],[f811,f798,f802]) ).
fof(f813,plain,
( ~ min_precedes(sK13(sK16),sK15(sK13(sK16)),tptp0)
| spl17_26 ),
inference(resolution,[],[f803,f170]) ).
fof(f814,plain,
( ~ occurrence_of(sK16,tptp0)
| leaf_occ(sK13(sK16),sK16)
| spl17_26 ),
inference(resolution,[],[f813,f540]) ).
fof(f815,plain,
( leaf_occ(sK13(sK16),sK16)
| spl17_26 ),
inference(forward_subsumption_resolution,[],[f814,f206]) ).
fof(f816,plain,
( $false
| spl17_14
| spl17_26 ),
inference(forward_subsumption_resolution,[],[f815,f438]) ).
fof(f817,plain,
( spl17_14
| spl17_26 ),
inference(avatar_contradiction_clause,[],[f816]) ).
fof(f824,definition,
( spl17_29
<=> tptp0 = sK12(sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))) ),
introduced(definition,[new_symbols(definition,[spl17_29])],[avatar_definition]) ).
fof(f826,plain,
( tptp0 = sK12(sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
| ~ spl17_29 ),
inference(avatar_component_clause,[],[f824]) ).
fof(f849,plain,
( sK12(sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))) = sK0(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
| ~ spl17_26 ),
inference(resolution,[],[f804,f612]) ).
fof(f851,plain,
( tptp0 = sK0(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
| ~ spl17_26 ),
inference(resolution,[],[f804,f580]) ).
fof(f859,plain,
( tptp0 = sK12(sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
| ~ spl17_26 ),
inference(forward_demodulation,[],[f849,f851]) ).
fof(f878,plain,
( spl17_29
| ~ spl17_26 ),
inference(avatar_split_clause,[],[f859,f802,f824]) ).
fof(f881,plain,
( sK12(sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))) = sK0(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
| ~ spl17_25 ),
inference(resolution,[],[f799,f585]) ).
fof(f883,plain,
( subactivity_occurrence(sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
| ~ spl17_25 ),
inference(resolution,[],[f799,f185]) ).
fof(f885,plain,
( ~ occurrence_of(sK16,tptp0)
| ~ spl17_15 ),
inference(resolution,[],[f442,f542]) ).
fof(f886,plain,
( $false
| ~ spl17_15 ),
inference(forward_subsumption_resolution,[],[f885,f206]) ).
fof(f887,plain,
~ spl17_15,
inference(avatar_contradiction_clause,[],[f886]) ).
fof(f888,plain,
( tptp0 = sK0(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
| ~ spl17_25
| ~ spl17_29 ),
inference(forward_demodulation,[],[f826,f881]) ).
fof(f893,plain,
( ! [X0] :
( ~ occurrence_of(sK16,X0)
| sK12(sK13(sK16),sK16) = X0 )
| ~ spl17_14 ),
inference(resolution,[],[f437,f232]) ).
fof(f895,plain,
( spl17_13
| ~ spl17_14 ),
inference(avatar_split_clause,[],[f893,f436,f419]) ).
fof(f917,plain,
( sK11(sK13(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))) = sK0(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
| ~ spl17_26 ),
inference(resolution,[],[f804,f606]) ).
fof(f926,plain,
( tptp0 = sK11(sK13(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
| ~ spl17_25
| ~ spl17_26
| ~ spl17_29 ),
inference(forward_demodulation,[],[f917,f888]) ).
fof(f927,plain,
( root(sK13(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),tptp0)
| ~ root_occ(sK13(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
| ~ spl17_25
| ~ spl17_26
| ~ spl17_29 ),
inference(superposition,[],[f181,f926]) ).
fof(f930,definition,
( spl17_34
<=> root_occ(sK13(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))) ),
introduced(definition,[new_symbols(definition,[spl17_34])],[avatar_definition]) ).
fof(f931,plain,
( root_occ(sK13(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
| ~ spl17_34 ),
inference(avatar_component_clause,[],[f930]) ).
fof(f932,plain,
( ~ root_occ(sK13(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
| spl17_34 ),
inference(avatar_component_clause,[],[f930]) ).
fof(f934,definition,
( spl17_35
<=> root(sK13(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),tptp0) ),
introduced(definition,[new_symbols(definition,[spl17_35])],[avatar_definition]) ).
fof(f936,plain,
( root(sK13(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),tptp0)
| ~ spl17_35 ),
inference(avatar_component_clause,[],[f934]) ).
fof(f937,plain,
( ~ spl17_34
| spl17_35
| ~ spl17_25
| ~ spl17_26
| ~ spl17_29 ),
inference(avatar_split_clause,[],[f927,f824,f802,f798,f934,f930]) ).
fof(f940,plain,
( ! [X0] :
( min_precedes(sK15(sK13(sK16)),sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),X0)
| sK15(sK13(sK16)) = sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
| ~ occurrence_of(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))),X0)
| ~ arboreal(sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))))
| ~ arboreal(sK15(sK13(sK16)))
| ~ min_precedes(sK13(sK16),sK15(sK13(sK16)),tptp0)
| min_precedes(sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),sK15(sK13(sK16)),X0) )
| ~ spl17_25 ),
inference(resolution,[],[f883,f223]) ).
fof(f949,plain,
( ! [X0] :
( min_precedes(sK15(sK13(sK16)),sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),X0)
| sK15(sK13(sK16)) = sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
| ~ occurrence_of(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))),X0)
| ~ arboreal(sK15(sK13(sK16)))
| ~ min_precedes(sK13(sK16),sK15(sK13(sK16)),tptp0)
| min_precedes(sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),sK15(sK13(sK16)),X0) )
| ~ spl17_25 ),
inference(forward_subsumption_resolution,[],[f940,f283]) ).
fof(f951,plain,
( ! [X0] :
( min_precedes(sK15(sK13(sK16)),sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),X0)
| sK15(sK13(sK16)) = sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
| ~ occurrence_of(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))),X0)
| ~ min_precedes(sK13(sK16),sK15(sK13(sK16)),tptp0)
| min_precedes(sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),sK15(sK13(sK16)),X0) )
| ~ spl17_12
| ~ spl17_25 ),
inference(forward_subsumption_resolution,[],[f949,f428]) ).
fof(f954,definition,
( spl17_36
<=> min_precedes(sK13(sK16),sK15(sK13(sK16)),tptp0) ),
introduced(definition,[new_symbols(definition,[spl17_36])],[avatar_definition]) ).
fof(f955,plain,
( min_precedes(sK13(sK16),sK15(sK13(sK16)),tptp0)
| ~ spl17_36 ),
inference(avatar_component_clause,[],[f954]) ).
fof(f956,plain,
( ~ min_precedes(sK13(sK16),sK15(sK13(sK16)),tptp0)
| spl17_36 ),
inference(avatar_component_clause,[],[f954]) ).
fof(f958,definition,
( spl17_37
<=> sK15(sK13(sK16)) = sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))) ),
introduced(definition,[new_symbols(definition,[spl17_37])],[avatar_definition]) ).
fof(f960,plain,
( sK15(sK13(sK16)) = sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
| ~ spl17_37 ),
inference(avatar_component_clause,[],[f958]) ).
fof(f962,definition,
( spl17_38
<=> ! [X0] :
( min_precedes(sK15(sK13(sK16)),sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),X0)
| min_precedes(sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),sK15(sK13(sK16)),X0)
| ~ occurrence_of(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))),X0) ) ),
introduced(definition,[new_symbols(definition,[spl17_38])],[avatar_definition]) ).
fof(f963,plain,
( ! [X0] :
( min_precedes(sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),sK15(sK13(sK16)),X0)
| min_precedes(sK15(sK13(sK16)),sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),X0)
| ~ occurrence_of(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))),X0) )
| ~ spl17_38 ),
inference(avatar_component_clause,[],[f962]) ).
fof(f964,plain,
( ~ spl17_36
| spl17_37
| spl17_38
| ~ spl17_12
| ~ spl17_25 ),
inference(avatar_split_clause,[],[f951,f798,f415,f962,f958,f954]) ).
fof(f973,plain,
( ~ occurrence_of(sK16,tptp0)
| leaf_occ(sK13(sK16),sK16)
| spl17_36 ),
inference(resolution,[],[f956,f540]) ).
fof(f974,plain,
( leaf_occ(sK13(sK16),sK16)
| spl17_36 ),
inference(forward_subsumption_resolution,[],[f973,f206]) ).
fof(f975,plain,
( $false
| spl17_14
| spl17_36 ),
inference(forward_subsumption_resolution,[],[f974,f438]) ).
fof(f976,plain,
( spl17_14
| spl17_36 ),
inference(avatar_contradiction_clause,[],[f975]) ).
fof(f982,plain,
( occurrence_of(sK15(sK13(sK16)),tptp3)
| ~ occurrence_of(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))),tptp0)
| ~ spl17_37 ),
inference(superposition,[],[f189,f960]) ).
fof(f997,plain,
( occurrence_of(sK15(sK13(sK16)),tptp3)
| ~ spl17_26
| ~ spl17_37 ),
inference(forward_subsumption_resolution,[],[f982,f804]) ).
fof(f1110,definition,
( spl17_44
<=> min_precedes(sK15(sK13(sK16)),sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),tptp0) ),
introduced(definition,[new_symbols(definition,[spl17_44])],[avatar_definition]) ).
fof(f1111,plain,
( ~ min_precedes(sK15(sK13(sK16)),sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),tptp0)
| spl17_44 ),
inference(avatar_component_clause,[],[f1110]) ).
fof(f1112,plain,
( min_precedes(sK15(sK13(sK16)),sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),tptp0)
| ~ spl17_44 ),
inference(avatar_component_clause,[],[f1110]) ).
fof(f1148,plain,
( ~ occurrence_of(sK16,tptp0)
| leaf_occ(sK13(sK16),sK16)
| tptp3 = tptp1
| ~ spl17_26
| ~ spl17_37 ),
inference(resolution,[],[f997,f262]) ).
fof(f1159,plain,
( leaf_occ(sK13(sK16),sK16)
| tptp3 = tptp1
| ~ spl17_26
| ~ spl17_37 ),
inference(forward_subsumption_resolution,[],[f1148,f206]) ).
fof(f1162,plain,
( tptp3 = tptp1
| spl17_14
| ~ spl17_26
| ~ spl17_37 ),
inference(forward_subsumption_resolution,[],[f1159,f438]) ).
fof(f1163,plain,
( $false
| spl17_14
| ~ spl17_26
| ~ spl17_37 ),
inference(forward_subsumption_resolution,[],[f1162,f201]) ).
fof(f1164,plain,
( spl17_14
| ~ spl17_26
| ~ spl17_37 ),
inference(avatar_contradiction_clause,[],[f1163]) ).
fof(f1196,plain,
( ~ occurrence_of(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))),tptp0)
| spl17_34 ),
inference(resolution,[],[f932,f190]) ).
fof(f1197,plain,
( $false
| ~ spl17_26
| spl17_34 ),
inference(forward_subsumption_resolution,[],[f1196,f804]) ).
fof(f1198,plain,
( ~ spl17_26
| spl17_34 ),
inference(avatar_contradiction_clause,[],[f1197]) ).
fof(f1202,plain,
( subactivity_occurrence(sK13(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
| ~ spl17_34 ),
inference(resolution,[],[f931,f182]) ).
fof(f1286,plain,
( ! [X0] :
( min_precedes(sK15(sK13(sK16)),sK13(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),X0)
| sK15(sK13(sK16)) = sK13(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
| ~ occurrence_of(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))),X0)
| ~ arboreal(sK13(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))))
| ~ arboreal(sK15(sK13(sK16)))
| ~ min_precedes(sK13(sK16),sK15(sK13(sK16)),tptp0)
| min_precedes(sK13(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),sK15(sK13(sK16)),X0) )
| ~ spl17_34 ),
inference(resolution,[],[f1202,f223]) ).
fof(f1292,plain,
( ! [X0] :
( min_precedes(sK15(sK13(sK16)),sK13(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),X0)
| sK15(sK13(sK16)) = sK13(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
| ~ occurrence_of(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))),X0)
| ~ arboreal(sK15(sK13(sK16)))
| ~ min_precedes(sK13(sK16),sK15(sK13(sK16)),tptp0)
| min_precedes(sK13(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),sK15(sK13(sK16)),X0) )
| ~ spl17_34 ),
inference(forward_subsumption_resolution,[],[f1286,f284]) ).
fof(f1294,plain,
( ! [X0] :
( min_precedes(sK15(sK13(sK16)),sK13(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),X0)
| sK15(sK13(sK16)) = sK13(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
| ~ occurrence_of(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))),X0)
| ~ min_precedes(sK13(sK16),sK15(sK13(sK16)),tptp0)
| min_precedes(sK13(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),sK15(sK13(sK16)),X0) )
| ~ spl17_12
| ~ spl17_34 ),
inference(forward_subsumption_resolution,[],[f1292,f428]) ).
fof(f1296,plain,
( ! [X0] :
( min_precedes(sK15(sK13(sK16)),sK13(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),X0)
| sK15(sK13(sK16)) = sK13(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
| ~ occurrence_of(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))),X0)
| min_precedes(sK13(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),sK15(sK13(sK16)),X0) )
| ~ spl17_12
| ~ spl17_34
| ~ spl17_36 ),
inference(forward_subsumption_resolution,[],[f1294,f955]) ).
fof(f1299,definition,
( spl17_59
<=> sK15(sK13(sK16)) = sK13(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))) ),
introduced(definition,[new_symbols(definition,[spl17_59])],[avatar_definition]) ).
fof(f1301,plain,
( sK15(sK13(sK16)) = sK13(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
| ~ spl17_59 ),
inference(avatar_component_clause,[],[f1299]) ).
fof(f1303,definition,
( spl17_60
<=> ! [X0] :
( min_precedes(sK15(sK13(sK16)),sK13(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),X0)
| min_precedes(sK13(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),sK15(sK13(sK16)),X0)
| ~ occurrence_of(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))),X0) ) ),
introduced(definition,[new_symbols(definition,[spl17_60])],[avatar_definition]) ).
fof(f1304,plain,
( ! [X0] :
( min_precedes(sK13(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),sK15(sK13(sK16)),X0)
| min_precedes(sK15(sK13(sK16)),sK13(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),X0)
| ~ occurrence_of(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))),X0) )
| ~ spl17_60 ),
inference(avatar_component_clause,[],[f1303]) ).
fof(f1305,plain,
( spl17_59
| spl17_60
| ~ spl17_12
| ~ spl17_34
| ~ spl17_36 ),
inference(avatar_split_clause,[],[f1296,f954,f930,f415,f1303,f1299]) ).
fof(f1320,plain,
( occurrence_of(sK15(sK13(sK16)),tptp4)
| ~ occurrence_of(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))),tptp0)
| ~ spl17_59 ),
inference(superposition,[],[f191,f1301]) ).
fof(f1345,plain,
( occurrence_of(sK15(sK13(sK16)),tptp4)
| ~ spl17_26
| ~ spl17_59 ),
inference(forward_subsumption_resolution,[],[f1320,f804]) ).
fof(f1407,plain,
( ~ occurrence_of(sK16,tptp0)
| leaf_occ(sK13(sK16),sK16)
| tptp4 = tptp1
| ~ spl17_26
| ~ spl17_59 ),
inference(resolution,[],[f1345,f262]) ).
fof(f1418,plain,
( leaf_occ(sK13(sK16),sK16)
| tptp4 = tptp1
| ~ spl17_26
| ~ spl17_59 ),
inference(forward_subsumption_resolution,[],[f1407,f206]) ).
fof(f1421,plain,
( tptp4 = tptp1
| spl17_14
| ~ spl17_26
| ~ spl17_59 ),
inference(forward_subsumption_resolution,[],[f1418,f438]) ).
fof(f1422,plain,
( $false
| spl17_14
| ~ spl17_26
| ~ spl17_59 ),
inference(forward_subsumption_resolution,[],[f1421,f198]) ).
fof(f1423,plain,
( spl17_14
| ~ spl17_26
| ~ spl17_59 ),
inference(avatar_contradiction_clause,[],[f1422]) ).
fof(f1454,definition,
( spl17_70
<=> min_precedes(sK15(sK13(sK16)),sK13(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),tptp0) ),
introduced(definition,[new_symbols(definition,[spl17_70])],[avatar_definition]) ).
fof(f1455,plain,
( ~ min_precedes(sK15(sK13(sK16)),sK13(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),tptp0)
| spl17_70 ),
inference(avatar_component_clause,[],[f1454]) ).
fof(f1456,plain,
( min_precedes(sK15(sK13(sK16)),sK13(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),tptp0)
| ~ spl17_70 ),
inference(avatar_component_clause,[],[f1454]) ).
fof(f1470,plain,
( ~ root(sK13(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),tptp0)
| ~ spl17_70 ),
inference(resolution,[],[f1456,f151]) ).
fof(f1472,plain,
( $false
| ~ spl17_35
| ~ spl17_70 ),
inference(forward_subsumption_resolution,[],[f1470,f936]) ).
fof(f1473,plain,
( ~ spl17_35
| ~ spl17_70 ),
inference(avatar_contradiction_clause,[],[f1472]) ).
fof(f4365,plain,
! [X0,X1] :
( ~ min_precedes(sK13(X1),X0,tptp0)
| ~ min_precedes(X0,sK14(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(resolution,[],[f160,f187]) ).
fof(f4377,plain,
( ~ min_precedes(sK15(sK13(sK16)),sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),tptp0)
| ~ occurrence_of(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))),tptp0)
| min_precedes(sK15(sK13(sK16)),sK13(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),tptp0)
| ~ occurrence_of(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))),tptp0)
| ~ spl17_60 ),
inference(resolution,[],[f4365,f1304]) ).
fof(f4401,plain,
( ~ min_precedes(sK15(sK13(sK16)),sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),tptp0)
| ~ occurrence_of(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))),tptp0)
| min_precedes(sK15(sK13(sK16)),sK13(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),tptp0)
| ~ spl17_60 ),
inference(duplicate_literal_removal,[],[f4377]) ).
fof(f4413,plain,
( ~ occurrence_of(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))),tptp0)
| min_precedes(sK15(sK13(sK16)),sK13(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),tptp0)
| ~ spl17_44
| ~ spl17_60 ),
inference(forward_subsumption_resolution,[],[f4401,f1112]) ).
fof(f4421,plain,
( min_precedes(sK15(sK13(sK16)),sK13(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),tptp0)
| ~ spl17_26
| ~ spl17_44
| ~ spl17_60 ),
inference(forward_subsumption_resolution,[],[f4413,f804]) ).
fof(f4427,plain,
( $false
| ~ spl17_26
| ~ spl17_44
| ~ spl17_60
| spl17_70 ),
inference(forward_subsumption_resolution,[],[f4421,f1455]) ).
fof(f4428,plain,
( ~ spl17_26
| ~ spl17_44
| ~ spl17_60
| spl17_70 ),
inference(avatar_contradiction_clause,[],[f4427]) ).
fof(f4722,definition,
( spl17_305
<=> min_precedes(sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),sK15(sK13(sK16)),tptp0) ),
introduced(definition,[new_symbols(definition,[spl17_305])],[avatar_definition]) ).
fof(f4723,plain,
( min_precedes(sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),sK15(sK13(sK16)),tptp0)
| ~ spl17_305 ),
inference(avatar_component_clause,[],[f4722]) ).
fof(f4724,plain,
( ~ min_precedes(sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),sK15(sK13(sK16)),tptp0)
| spl17_305 ),
inference(avatar_component_clause,[],[f4722]) ).
fof(f4741,plain,
( min_precedes(sK15(sK13(sK16)),sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),tptp0)
| ~ occurrence_of(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))),tptp0)
| ~ spl17_38
| spl17_305 ),
inference(resolution,[],[f4724,f963]) ).
fof(f4747,plain,
( ~ occurrence_of(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))),tptp0)
| ~ spl17_38
| spl17_44
| spl17_305 ),
inference(forward_subsumption_resolution,[],[f4741,f1111]) ).
fof(f4750,plain,
( $false
| ~ spl17_26
| ~ spl17_38
| spl17_44
| spl17_305 ),
inference(forward_subsumption_resolution,[],[f4747,f804]) ).
fof(f4751,plain,
( ~ spl17_26
| ~ spl17_38
| spl17_44
| spl17_305 ),
inference(avatar_contradiction_clause,[],[f4750]) ).
fof(f4764,plain,
( ~ leaf(sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),tptp0)
| ~ spl17_305 ),
inference(resolution,[],[f4723,f158]) ).
fof(f4767,plain,
( $false
| ~ spl17_27
| ~ spl17_305 ),
inference(forward_subsumption_resolution,[],[f4764,f809]) ).
fof(f4768,plain,
( ~ spl17_27
| ~ spl17_305 ),
inference(avatar_contradiction_clause,[],[f4767]) ).
cnf(s11,plain,
( spl17_12
| spl17_13 ),
inference(sat_conversion,[],[f421]) ).
cnf(s13,plain,
( ~ spl17_13
| ~ spl17_14
| spl17_15 ),
inference(sat_conversion,[],[f443]) ).
cnf(s15,plain,
( spl17_12
| spl17_14 ),
inference(sat_conversion,[],[f452]) ).
cnf(s22,plain,
( spl17_14
| ~ spl17_25
| spl17_27 ),
inference(sat_conversion,[],[f810]) ).
cnf(s23,plain,
( spl17_25
| ~ spl17_26 ),
inference(sat_conversion,[],[f812]) ).
cnf(s24,plain,
( spl17_14
| spl17_26 ),
inference(sat_conversion,[],[f817]) ).
cnf(s29,plain,
( ~ spl17_26
| spl17_29 ),
inference(sat_conversion,[],[f878]) ).
cnf(s31,plain,
~ spl17_15,
inference(sat_conversion,[],[f887]) ).
cnf(s32,plain,
( spl17_13
| ~ spl17_14 ),
inference(sat_conversion,[],[f895]) ).
cnf(s35,plain,
( ~ spl17_25
| ~ spl17_26
| ~ spl17_29
| ~ spl17_34
| spl17_35 ),
inference(sat_conversion,[],[f937]) ).
cnf(s36,plain,
( ~ spl17_12
| ~ spl17_25
| ~ spl17_36
| spl17_37
| spl17_38 ),
inference(sat_conversion,[],[f964]) ).
cnf(s38,plain,
( spl17_14
| spl17_36 ),
inference(sat_conversion,[],[f976]) ).
cnf(s49,plain,
( spl17_14
| ~ spl17_26
| ~ spl17_37 ),
inference(sat_conversion,[],[f1164]) ).
cnf(s51,plain,
( ~ spl17_26
| spl17_34 ),
inference(sat_conversion,[],[f1198]) ).
cnf(s60,plain,
( ~ spl17_12
| ~ spl17_34
| ~ spl17_36
| spl17_59
| spl17_60 ),
inference(sat_conversion,[],[f1305]) ).
cnf(s69,plain,
( spl17_14
| ~ spl17_26
| ~ spl17_59 ),
inference(sat_conversion,[],[f1423]) ).
cnf(s75,plain,
( ~ spl17_35
| ~ spl17_70 ),
inference(sat_conversion,[],[f1473]) ).
cnf(s306,plain,
( ~ spl17_26
| ~ spl17_44
| ~ spl17_60
| spl17_70 ),
inference(sat_conversion,[],[f4428]) ).
cnf(s337,plain,
( ~ spl17_26
| ~ spl17_38
| spl17_44
| spl17_305 ),
inference(sat_conversion,[],[f4751]) ).
cnf(s340,plain,
( ~ spl17_27
| ~ spl17_305 ),
inference(sat_conversion,[],[f4768]) ).
cnf(s342,plain,
( ~ spl17_13
| ~ spl17_14 ),
inference(rat,[],[s13,s31]) ).
cnf(s349,plain,
spl17_12,
inference(rat,[],[s342,s11,s15]) ).
cnf(s351,plain,
spl17_14,
inference(rat,[],[s337,s306,s340,s75,s22,s35,s36,s60,s23,s29,s49,s51,s69,s24,s38,s349]) ).
cnf(s353,plain,
spl17_13,
inference(rat,[],[s32,s351]) ).
cnf(s354,plain,
$false,
inference(rat,[],[s342,s351,s353]) ).
fof(f4769,plain,
$false,
inference(avatar_sat_refutation,[],[s354]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO006+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n017.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 22:12:35 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.77/1.76 % (2990676)Detected formulas, will run a generic FOF schedule.
% 5.77/1.76 % (2990681)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=1756662680:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.77/1.76 % (2990687)dis-21_1_sil=8000:lcm=predicate:random_seed=2905571637: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)
% 5.77/1.76 % (2990682)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=3440238118:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.77/1.76 % (2990685)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=217127691:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.77/1.76 % (2990684)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=442620506:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.77/1.76 % (2990683)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=4227096103:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.77/1.76 % (2990686)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3920556390:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.77/1.76 % (2990684)Refutation not found, incomplete strategy
% 5.77/1.76 % (2990684)------------------------------
% 5.77/1.76 % (2990684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.77/1.76 % (2990684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.76 % (2990684)CaDiCaL version: 2.1.3
% 5.77/1.76 % (2990684)Termination reason: Refutation not found, incomplete strategy
% 5.77/1.76 % (2990684)Time elapsed: 0.001 s
% 5.77/1.76 % (2990684)Peak memory usage: 86 MB
% 5.77/1.76 % (2990685)Refutation not found, incomplete strategy
% 5.77/1.76 % (2990685)------------------------------
% 5.77/1.76 % (2990685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.77/1.76 % (2990685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.76 % (2990685)CaDiCaL version: 2.1.3
% 5.77/1.76 % (2990685)Termination reason: Refutation not found, incomplete strategy
% 5.77/1.76 % (2990685)Time elapsed: 0.001 s
% 5.77/1.76 % (2990685)Peak memory usage: 87 MB
% 5.77/1.76 % (2990687)Instruction limit reached!
% 5.77/1.76 % (2990687)------------------------------
% 5.77/1.76 % (2990687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.77/1.76 % (2990687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.76 % (2990687)CaDiCaL version: 2.1.3
% 5.77/1.76 % (2990687)Termination reason: Instruction limit
% 5.77/1.76 % (2990687)Termination phase: Saturation
% 5.77/1.76 % (2990687)Time elapsed: 0.078 s
% 5.77/1.76 % (2990687)Peak memory usage: 88 MB
% 5.77/1.76 % (2990687)Instructions burned: 130 (million)
% 5.77/1.76 % (2990686)Instruction limit reached!
% 5.77/1.76 % (2990686)------------------------------
% 5.77/1.76 % (2990686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.77/1.76 % (2990686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.76 % (2990686)CaDiCaL version: 2.1.3
% 5.77/1.76 % (2990686)Termination reason: Instruction limit
% 5.77/1.76 % (2990686)Termination phase: Saturation
% 5.77/1.76 % (2990686)Time elapsed: 0.098 s
% 5.77/1.76 % (2990686)Peak memory usage: 90 MB
% 5.77/1.76 % (2990686)Instructions burned: 141 (million)
% 5.77/1.76 % (2990695)lrs+10_1_sil=8000:sp=occurrence:random_seed=2607966569:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.77/1.76 % (2990685)------------------------------
% 5.77/1.76 % (2990685)------------------------------
% 5.77/1.76 % (2990684)------------------------------
% 5.77/1.76 % (2990684)------------------------------
% 5.77/1.76 % (2990696)lrs+10_1_sil=32000:urr=on:br=off:random_seed=213225121:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.77/1.76 % (2990696)Refutation not found, incomplete strategy
% 5.77/1.76 % (2990696)------------------------------
% 5.77/1.76 % (2990696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.77/1.76 % (2990696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.76 % (2990696)CaDiCaL version: 2.1.3
% 5.77/1.76 % (2990696)Termination reason: Refutation not found, incomplete strategy
% 5.77/1.76 % (2990696)Time elapsed: 0.001 s
% 5.77/1.76 % (2990696)Peak memory usage: 88 MB
% 5.77/1.76 % (2990698)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2044217104:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 5.77/1.76 % (2990700)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1714335452:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 5.77/1.76 % (2990695)Instruction limit reached!
% 5.77/1.76 % (2990695)------------------------------
% 5.77/1.76 % (2990695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.77/1.76 % (2990695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.76 % (2990695)CaDiCaL version: 2.1.3
% 5.77/1.76 % (2990695)Termination reason: Instruction limit
% 5.77/1.76 % (2990695)Termination phase: Saturation
% 5.77/1.76 % (2990695)Time elapsed: 0.184 s
% 5.77/1.76 % (2990695)Peak memory usage: 91 MB
% 5.77/1.76 % (2990695)Instructions burned: 286 (million)
% 5.77/1.76 % (2990696)------------------------------
% 5.77/1.76 % (2990696)------------------------------
% 5.77/1.76 % (2990700)Instruction limit reached!
% 5.77/1.76 % (2990700)------------------------------
% 5.77/1.76 % (2990700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.77/1.76 % (2990700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.76 % (2990700)CaDiCaL version: 2.1.3
% 5.77/1.76 % (2990700)Termination reason: Instruction limit
% 5.77/1.76 % (2990700)Termination phase: Saturation
% 5.77/1.76 % (2990700)Time elapsed: 0.137 s
% 5.77/1.76 % (2990700)Peak memory usage: 89 MB
% 5.77/1.76 % (2990700)Instructions burned: 250 (million)
% 5.77/1.76 % (2990681)First to succeed.
% 5.77/1.76 % (2990681)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2990676"
% 5.77/1.76 % (2990703)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3987099503:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 5.77/1.76 % (2990703)Refutation not found, incomplete strategy
% 5.77/1.76 % (2990703)------------------------------
% 5.77/1.76 % (2990703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.77/1.76 % (2990703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.76 % (2990703)CaDiCaL version: 2.1.3
% 5.77/1.76 % (2990703)Termination reason: Refutation not found, incomplete strategy
% 5.77/1.76 % (2990703)Time elapsed: 0.004 s
% 5.77/1.76 % (2990703)Peak memory usage: 88 MB
% 5.77/1.76 % (2990703)Instructions burned: 3 (million)
% 5.77/1.76 % (2990698)Instruction limit reached!
% 5.77/1.76 % (2990698)------------------------------
% 5.77/1.76 % (2990698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.77/1.76 % (2990698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.76 % (2990698)CaDiCaL version: 2.1.3
% 5.77/1.76 % (2990698)Termination reason: Instruction limit
% 5.77/1.76 % (2990698)Termination phase: Saturation
% 5.77/1.76 % (2990698)Time elapsed: 0.207 s
% 5.77/1.76 % (2990698)Peak memory usage: 91 MB
% 5.77/1.76 % (2990698)Instructions burned: 325 (million)
% 5.77/1.76 % (2990704)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=679103761:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 5.77/1.76 % (2990705)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3318963592:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 5.77/1.76 % (2990681)Refutation found. Thanks to Tanya!
% 5.77/1.76 % SZS status Theorem for theBenchmark
% 5.77/1.76 % SZS output start Proof for theBenchmark
% See solution above
% 6.96/1.95 % (2990681)------------------------------
% 6.96/1.95 % (2990681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.96/1.95 % (2990681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.95 % (2990681)CaDiCaL version: 2.1.3
% 6.96/1.95 % (2990681)Termination reason: Refutation
% 6.96/1.95 % (2990681)Time elapsed: 0.613 s
% 6.96/1.95 % (2990681)Peak memory usage: 135 MB
% 6.96/1.95 % (2990681)Instructions burned: 1603 (million)
% 6.96/1.95 % (2990681)------------------------------
% 6.96/1.95 % (2990681)------------------------------
% 6.96/1.95 % (2990676)Success in time 0.902 s
% 6.96/1.95 % Vampire exiting
%------------------------------------------------------------------------------