%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PRO004+3 : 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 : n011.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 12:30:21 PM UTC 2026
% Result : Theorem 9.41s 2.06s
% Output : Refutation 9.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 24
% Syntax : Number of formulae : 163 ( 27 unt; 8 def)
% Number of atoms : 490 ( 21 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 578 ( 251 ~; 241 |; 64 &)
% ( 11 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 9 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 229 ( 0 sgn 208 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(f30,axiom,
! [X0,X1,X2,X3] :
( ( min_precedes(X0,X1,X2)
& occurrence_of(X3,X2)
& subactivity_occurrence(X1,X3) )
=> subactivity_occurrence(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_29) ).
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(f37,axiom,
! [X0,X1,X2,X3] :
( ( occurrence_of(X2,X3)
& ~ atomic(X3)
& leaf_occ(X0,X2)
& leaf_occ(X1,X2) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_36) ).
fof(f38,axiom,
! [X0,X1,X2] :
( ( occurrence_of(X0,X2)
& leaf_occ(X1,X0) )
=> ~ ? [X3] : min_precedes(X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_37) ).
fof(f39,axiom,
! [X0,X1,X2] :
( ( occurrence_of(X0,X2)
& root_occ(X1,X0) )
=> ~ ? [X3] : min_precedes(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_38) ).
fof(f45,axiom,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
=> ( arboreal(X0)
& arboreal(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_44) ).
fof(f47,axiom,
! [X0,X1,X2] :
( min_precedes(X0,X1,X2)
=> arboreal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_46) ).
fof(f50,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_49) ).
fof(f52,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_51) ).
fof(f60,axiom,
tptp1 != tptp3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_59) ).
fof(f64,axiom,
! [X0,X1] :
( ( occurrence_of(X1,tptp0)
& subactivity_occurrence(X0,X1)
& arboreal(X0)
& ~ leaf_occ(X0,X1) )
=> root_occ(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_63) ).
fof(f65,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_64) ).
fof(f66,conjecture,
~ ? [X0] : occurrence_of(X0,tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f67,negated_conjecture,
~ ~ ? [X0] : occurrence_of(X0,tptp0),
inference(negated_conjecture,[status(cth)],[f66]) ).
fof(f68,plain,
? [X0] : occurrence_of(X0,tptp0),
inference(flattening,[],[f67]) ).
fof(f71,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f72,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2) ),
inference(flattening,[],[f71]) ).
fof(f97,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(ennf_transformation,[],[f23]) ).
fof(f99,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(f106,plain,
! [X0,X1,X2,X3] :
( subactivity_occurrence(X0,X3)
| ~ min_precedes(X0,X1,X2)
| ~ occurrence_of(X3,X2)
| ~ subactivity_occurrence(X1,X3) ),
inference(ennf_transformation,[],[f30]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( subactivity_occurrence(X0,X3)
| ~ min_precedes(X0,X1,X2)
| ~ occurrence_of(X3,X2)
| ~ subactivity_occurrence(X1,X3) ),
inference(flattening,[],[f106]) ).
fof(f116,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ occurrence_of(X2,X3)
| atomic(X3)
| ~ leaf_occ(X0,X2)
| ~ leaf_occ(X1,X2) ),
inference(ennf_transformation,[],[f37]) ).
fof(f117,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ occurrence_of(X2,X3)
| atomic(X3)
| ~ leaf_occ(X0,X2)
| ~ leaf_occ(X1,X2) ),
inference(flattening,[],[f116]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
| ~ occurrence_of(X0,X2)
| ~ leaf_occ(X1,X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
| ~ occurrence_of(X0,X2)
| ~ leaf_occ(X1,X0) ),
inference(flattening,[],[f118]) ).
fof(f120,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X3,X1,X2)
| ~ occurrence_of(X0,X2)
| ~ root_occ(X1,X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f121,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X3,X1,X2)
| ~ occurrence_of(X0,X2)
| ~ root_occ(X1,X0) ),
inference(flattening,[],[f120]) ).
fof(f132,plain,
! [X0,X1,X2] :
( ( arboreal(X0)
& arboreal(X1) )
| ~ next_subocc(X0,X1,X2) ),
inference(ennf_transformation,[],[f45]) ).
fof(f135,plain,
! [X0,X1,X2] :
( arboreal(X0)
| ~ min_precedes(X0,X1,X2) ),
inference(ennf_transformation,[],[f47]) ).
fof(f140,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,[],[f50]) ).
fof(f143,plain,
! [X0,X1] :
( root_occ(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(ennf_transformation,[],[f64]) ).
fof(f144,plain,
! [X0,X1] :
( root_occ(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(flattening,[],[f143]) ).
fof(f145,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,[],[f65]) ).
fof(f146,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,[],[f145]) ).
fof(f158,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) ) )
& ( ( min_precedes(X0,X1,X2)
& ! [X3] :
( ~ min_precedes(X0,X3,X2)
| ~ min_precedes(X3,X1,X2) ) )
| ~ next_subocc(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f97]) ).
fof(f159,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) ) )
& ( ( min_precedes(X0,X1,X2)
& ! [X3] :
( ~ min_precedes(X0,X3,X2)
| ~ min_precedes(X3,X1,X2) ) )
| ~ next_subocc(X0,X1,X2) ) ),
inference(flattening,[],[f158]) ).
fof(f160,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) ) )
& ( ( min_precedes(X0,X1,X2)
& ! [X4] :
( ~ min_precedes(X0,X4,X2)
| ~ min_precedes(X4,X1,X2) ) )
| ~ next_subocc(X0,X1,X2) ) ),
inference(rectify,[],[f159]) ).
fof(f161,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ~ min_precedes(X0,X1,X2)
| ( min_precedes(X0,sK7(X0,X1,X2),X2)
& min_precedes(sK7(X0,X1,X2),X1,X2) ) )
& ( ( min_precedes(X0,X1,X2)
& ! [X4] :
( ~ min_precedes(X0,X4,X2)
| ~ min_precedes(X4,X1,X2) ) )
| ~ next_subocc(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X3,sK7(X0,X1,X2))],[f160]) ).
fof(f165,plain,
! [X0,X1,X2] :
( ( occurrence_of(sK9(X0,X1,X2),X0)
& subactivity_occurrence(X1,sK9(X0,X1,X2))
& subactivity_occurrence(X2,sK9(X0,X1,X2)) )
| ~ min_precedes(X1,X2,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X3,sK9(X0,X1,X2))],[f99]) ).
fof(f172,plain,
! [X0,X1] :
( ( leaf_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ leaf(X0,X2) ) )
& ( ? [X2] :
( occurrence_of(X1,X2)
& subactivity_occurrence(X0,X1)
& leaf(X0,X2) )
| ~ leaf_occ(X0,X1) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f173,plain,
! [X0,X1] :
( ( leaf_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ leaf(X0,X2) ) )
& ( ? [X3] :
( occurrence_of(X1,X3)
& subactivity_occurrence(X0,X1)
& leaf(X0,X3) )
| ~ leaf_occ(X0,X1) ) ),
inference(rectify,[],[f172]) ).
fof(f174,plain,
! [X0,X1] :
( ( leaf_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ leaf(X0,X2) ) )
& ( ( occurrence_of(X1,sK14(X0,X1))
& subactivity_occurrence(X0,X1)
& leaf(X0,sK14(X0,X1)) )
| ~ leaf_occ(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X3,sK14(X0,X1))],[f173]) ).
fof(f176,plain,
! [X0] :
( ( occurrence_of(sK16(X0),tptp4)
& root_occ(sK16(X0),X0)
& occurrence_of(sK17(X0),tptp3)
& leaf_occ(sK17(X0),X0)
& next_subocc(sK16(X0),sK17(X0),tptp0) )
| ~ occurrence_of(X0,tptp0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17]),skolemize(X1,sK16(X0)),skolemize(X2,sK17(X0))],[f140]) ).
fof(f177,plain,
! [X0,X1] :
( ( occurrence_of(sK18(X0),tptp1)
& next_subocc(X0,sK18(X0),tptp0) )
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(X2,sK18(X0))],[f146]) ).
fof(f178,plain,
occurrence_of(sK19,tptp0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X0,sK19)],[f68]) ).
fof(f183,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f72]) ).
fof(f215,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f161]) ).
fof(f224,plain,
! [X2,X0,X1] :
( subactivity_occurrence(X2,sK9(X0,X1,X2))
| ~ min_precedes(X1,X2,X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f226,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| occurrence_of(sK9(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f232,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| subactivity_occurrence(X0,X3)
| ~ occurrence_of(X3,X2)
| ~ subactivity_occurrence(X1,X3) ),
inference(cnf_transformation,[],[f107]) ).
fof(f241,plain,
! [X0,X1] :
( ~ leaf_occ(X0,X1)
| leaf(X0,sK14(X0,X1)) ),
inference(cnf_transformation,[],[f174]) ).
fof(f242,plain,
! [X0,X1] :
( ~ leaf_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f174]) ).
fof(f243,plain,
! [X0,X1] :
( ~ leaf_occ(X0,X1)
| occurrence_of(X1,sK14(X0,X1)) ),
inference(cnf_transformation,[],[f174]) ).
fof(f244,plain,
! [X2,X0,X1] :
( ~ leaf(X0,X2)
| ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f174]) ).
fof(f246,plain,
! [X2,X3,X0,X1] :
( ~ leaf_occ(X1,X2)
| ~ occurrence_of(X2,X3)
| atomic(X3)
| ~ leaf_occ(X0,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f117]) ).
fof(f247,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X1,X3,X2)
| ~ occurrence_of(X0,X2)
| ~ leaf_occ(X1,X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f248,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X3,X1,X2)
| ~ occurrence_of(X0,X2)
| ~ root_occ(X1,X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f254,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| arboreal(X1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f258,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| arboreal(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f261,plain,
! [X0] :
( next_subocc(sK16(X0),sK17(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f262,plain,
! [X0] :
( leaf_occ(sK17(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f263,plain,
! [X0] :
( occurrence_of(sK17(X0),tptp3)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f267,plain,
~ atomic(tptp0),
inference(cnf_transformation,[],[f52]) ).
fof(f275,plain,
tptp3 != tptp1,
inference(cnf_transformation,[],[f60]) ).
fof(f279,plain,
! [X0,X1] :
( ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| root_occ(X0,X1)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f144]) ).
fof(f280,plain,
! [X0,X1] :
( ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| next_subocc(X0,sK18(X0),tptp0)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f177]) ).
fof(f281,plain,
! [X0,X1] :
( ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| occurrence_of(sK18(X0),tptp1)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f177]) ).
fof(f282,plain,
occurrence_of(sK19,tptp0),
inference(cnf_transformation,[],[f178]) ).
fof(f283,plain,
! [X0] :
( ~ occurrence_of(sK19,X0)
| tptp0 = X0 ),
inference(resolution,[],[f183,f282]) ).
fof(f286,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| min_precedes(sK16(X0),sK17(X0),tptp0) ),
inference(resolution,[],[f261,f215]) ).
fof(f287,plain,
min_precedes(sK16(sK19),sK17(sK19),tptp0),
inference(resolution,[],[f286,f282]) ).
fof(f289,plain,
! [X0] :
( ~ leaf_occ(sK16(sK19),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f287,f247]) ).
fof(f308,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| occurrence_of(X0,sK14(sK17(X0),X0)) ),
inference(resolution,[],[f243,f262]) ).
fof(f309,plain,
occurrence_of(sK19,sK14(sK17(sK19),sK19)),
inference(resolution,[],[f308,f282]) ).
fof(f311,plain,
tptp0 = sK14(sK17(sK19),sK19),
inference(resolution,[],[f309,f283]) ).
fof(f345,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| leaf(sK17(X0),sK14(sK17(X0),X0)) ),
inference(resolution,[],[f241,f262]) ).
fof(f346,plain,
leaf(sK17(sK19),sK14(sK17(sK19),sK19)),
inference(resolution,[],[f345,f282]) ).
fof(f347,plain,
leaf(sK17(sK19),tptp0),
inference(forward_demodulation,[],[f346,f311]) ).
fof(f349,plain,
occurrence_of(sK9(tptp0,sK16(sK19),sK17(sK19)),tptp0),
inference(resolution,[],[f226,f287]) ).
fof(f362,plain,
arboreal(sK16(sK19)),
inference(resolution,[],[f258,f287]) ).
fof(f403,plain,
! [X2,X0,X1] :
( ~ leaf_occ(X2,X0)
| atomic(X1)
| ~ occurrence_of(X0,X1)
| sK17(X0) = X2
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f246,f262]) ).
fof(f412,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK17(sK19),X0)
| leaf_occ(sK17(sK19),X0) ),
inference(resolution,[],[f244,f347]) ).
fof(f413,plain,
( ~ subactivity_occurrence(sK17(sK19),sK9(tptp0,sK16(sK19),sK17(sK19)))
| leaf_occ(sK17(sK19),sK9(tptp0,sK16(sK19),sK17(sK19))) ),
inference(resolution,[],[f412,f349]) ).
fof(f423,definition,
( spl20_8
<=> leaf_occ(sK17(sK19),sK9(tptp0,sK16(sK19),sK17(sK19))) ),
introduced(definition,[new_symbols(definition,[spl20_8])],[avatar_definition]) ).
fof(f424,plain,
( leaf_occ(sK17(sK19),sK9(tptp0,sK16(sK19),sK17(sK19)))
| ~ spl20_8 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f426,definition,
( spl20_9
<=> subactivity_occurrence(sK17(sK19),sK9(tptp0,sK16(sK19),sK17(sK19))) ),
introduced(definition,[new_symbols(definition,[spl20_9])],[avatar_definition]) ).
fof(f427,plain,
( ~ subactivity_occurrence(sK17(sK19),sK9(tptp0,sK16(sK19),sK17(sK19)))
| spl20_9 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f428,plain,
( spl20_8
| ~ spl20_9 ),
inference(avatar_split_clause,[],[f413,f426,f423]) ).
fof(f451,plain,
( ~ min_precedes(sK16(sK19),sK17(sK19),tptp0)
| spl20_9 ),
inference(resolution,[],[f427,f224]) ).
fof(f453,plain,
( $false
| spl20_9 ),
inference(forward_subsumption_resolution,[],[f451,f287]) ).
fof(f454,plain,
spl20_9,
inference(avatar_contradiction_clause,[],[f453]) ).
fof(f460,plain,
( subactivity_occurrence(sK17(sK19),sK9(tptp0,sK16(sK19),sK17(sK19)))
| ~ spl20_8 ),
inference(resolution,[],[f424,f242]) ).
fof(f473,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| subactivity_occurrence(sK16(sK19),X0)
| ~ subactivity_occurrence(sK17(sK19),X0) ),
inference(resolution,[],[f232,f287]) ).
fof(f475,plain,
( subactivity_occurrence(sK16(sK19),sK9(tptp0,sK16(sK19),sK17(sK19)))
| ~ subactivity_occurrence(sK17(sK19),sK9(tptp0,sK16(sK19),sK17(sK19))) ),
inference(resolution,[],[f473,f349]) ).
fof(f478,plain,
( subactivity_occurrence(sK16(sK19),sK9(tptp0,sK16(sK19),sK17(sK19)))
| ~ spl20_8 ),
inference(forward_subsumption_resolution,[],[f475,f460]) ).
fof(f678,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK16(sK19),X0)
| next_subocc(sK16(sK19),sK18(sK16(sK19)),tptp0)
| leaf_occ(sK16(sK19),X0) ),
inference(resolution,[],[f362,f280]) ).
fof(f679,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK16(sK19),X0)
| occurrence_of(sK18(sK16(sK19)),tptp1)
| leaf_occ(sK16(sK19),X0) ),
inference(resolution,[],[f362,f281]) ).
fof(f680,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK16(sK19),X0)
| occurrence_of(sK18(sK16(sK19)),tptp1) ),
inference(forward_subsumption_resolution,[],[f679,f289]) ).
fof(f681,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK16(sK19),X0)
| next_subocc(sK16(sK19),sK18(sK16(sK19)),tptp0) ),
inference(forward_subsumption_resolution,[],[f678,f289]) ).
fof(f683,definition,
( spl20_21
<=> occurrence_of(sK18(sK16(sK19)),tptp1) ),
introduced(definition,[new_symbols(definition,[spl20_21])],[avatar_definition]) ).
fof(f684,plain,
( occurrence_of(sK18(sK16(sK19)),tptp1)
| ~ spl20_21 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f686,definition,
( spl20_22
<=> ! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK16(sK19),X0) ) ),
introduced(definition,[new_symbols(definition,[spl20_22])],[avatar_definition]) ).
fof(f687,plain,
( ! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK16(sK19),X0) )
| ~ spl20_22 ),
inference(avatar_component_clause,[],[f686]) ).
fof(f688,plain,
( spl20_21
| spl20_22 ),
inference(avatar_split_clause,[],[f680,f686,f683]) ).
fof(f690,definition,
( spl20_23
<=> next_subocc(sK16(sK19),sK18(sK16(sK19)),tptp0) ),
introduced(definition,[new_symbols(definition,[spl20_23])],[avatar_definition]) ).
fof(f691,plain,
( next_subocc(sK16(sK19),sK18(sK16(sK19)),tptp0)
| ~ spl20_23 ),
inference(avatar_component_clause,[],[f690]) ).
fof(f692,plain,
( spl20_23
| spl20_22 ),
inference(avatar_split_clause,[],[f681,f686,f690]) ).
fof(f695,plain,
( ~ subactivity_occurrence(sK16(sK19),sK9(tptp0,sK16(sK19),sK17(sK19)))
| ~ spl20_22 ),
inference(resolution,[],[f687,f349]) ).
fof(f701,plain,
( $false
| ~ spl20_8
| ~ spl20_22 ),
inference(forward_subsumption_resolution,[],[f695,f478]) ).
fof(f702,plain,
( ~ spl20_8
| ~ spl20_22 ),
inference(avatar_contradiction_clause,[],[f701]) ).
fof(f705,plain,
( ! [X0] :
( ~ occurrence_of(sK18(sK16(sK19)),X0)
| tptp1 = X0 )
| ~ spl20_21 ),
inference(resolution,[],[f684,f183]) ).
fof(f708,plain,
( arboreal(sK18(sK16(sK19)))
| ~ spl20_23 ),
inference(resolution,[],[f691,f254]) ).
fof(f713,plain,
( min_precedes(sK16(sK19),sK18(sK16(sK19)),tptp0)
| ~ spl20_23 ),
inference(resolution,[],[f691,f215]) ).
fof(f732,plain,
( occurrence_of(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))),tptp0)
| ~ spl20_23 ),
inference(resolution,[],[f713,f226]) ).
fof(f733,plain,
( ! [X0] :
( ~ root_occ(sK18(sK16(sK19)),X0)
| ~ occurrence_of(X0,tptp0) )
| ~ spl20_23 ),
inference(resolution,[],[f713,f248]) ).
fof(f791,plain,
( ! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK18(sK16(sK19)),X0)
| root_occ(sK18(sK16(sK19)),X0)
| leaf_occ(sK18(sK16(sK19)),X0) )
| ~ spl20_23 ),
inference(resolution,[],[f708,f279]) ).
fof(f837,definition,
( spl20_33
<=> ! [X0] :
( ~ occurrence_of(X0,tptp0)
| leaf_occ(sK18(sK16(sK19)),X0)
| ~ subactivity_occurrence(sK18(sK16(sK19)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl20_33])],[avatar_definition]) ).
fof(f838,plain,
( ! [X0] :
( ~ subactivity_occurrence(sK18(sK16(sK19)),X0)
| leaf_occ(sK18(sK16(sK19)),X0)
| ~ occurrence_of(X0,tptp0) )
| ~ spl20_33 ),
inference(avatar_component_clause,[],[f837]) ).
fof(f844,plain,
( ! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK18(sK16(sK19)),X0)
| leaf_occ(sK18(sK16(sK19)),X0) )
| ~ spl20_23 ),
inference(forward_subsumption_resolution,[],[f791,f733]) ).
fof(f845,plain,
( spl20_33
| ~ spl20_23 ),
inference(avatar_split_clause,[],[f844,f690,f837]) ).
fof(f865,plain,
( occurrence_of(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))),sK14(sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))))
| ~ spl20_23 ),
inference(resolution,[],[f732,f308]) ).
fof(f880,plain,
( ! [X0] :
( ~ occurrence_of(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))),X0)
| tptp0 = X0 )
| ~ spl20_23 ),
inference(resolution,[],[f732,f183]) ).
fof(f910,plain,
( ! [X0,X1] :
( ~ occurrence_of(sK9(X0,X1,sK18(sK16(sK19))),tptp0)
| leaf_occ(sK18(sK16(sK19)),sK9(X0,X1,sK18(sK16(sK19))))
| ~ min_precedes(X1,sK18(sK16(sK19)),X0) )
| ~ spl20_33 ),
inference(resolution,[],[f838,f224]) ).
fof(f1008,plain,
( tptp0 = sK14(sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))
| ~ spl20_23 ),
inference(resolution,[],[f880,f865]) ).
fof(f1132,plain,
( leaf_occ(sK18(sK16(sK19)),sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))
| ~ min_precedes(sK16(sK19),sK18(sK16(sK19)),tptp0)
| ~ spl20_23
| ~ spl20_33 ),
inference(resolution,[],[f910,f732]) ).
fof(f1133,plain,
( leaf_occ(sK18(sK16(sK19)),sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))
| ~ spl20_23
| ~ spl20_33 ),
inference(forward_subsumption_resolution,[],[f1132,f713]) ).
fof(f1134,plain,
( ! [X0] :
( atomic(X0)
| ~ occurrence_of(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))),X0)
| sK18(sK16(sK19)) = sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))
| ~ occurrence_of(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))),tptp0) )
| ~ spl20_23
| ~ spl20_33 ),
inference(resolution,[],[f1133,f403]) ).
fof(f1144,definition,
( spl20_53
<=> ! [X0] :
( ~ occurrence_of(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))),X0)
| atomic(X0) ) ),
introduced(definition,[new_symbols(definition,[spl20_53])],[avatar_definition]) ).
fof(f1145,plain,
( ! [X0] :
( ~ occurrence_of(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))),X0)
| atomic(X0) )
| ~ spl20_53 ),
inference(avatar_component_clause,[],[f1144]) ).
fof(f1147,plain,
( ! [X0] :
( atomic(X0)
| ~ occurrence_of(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))),X0)
| sK18(sK16(sK19)) = sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))) )
| ~ spl20_23
| ~ spl20_33 ),
inference(forward_subsumption_resolution,[],[f1134,f732]) ).
fof(f1149,definition,
( spl20_54
<=> sK18(sK16(sK19)) = sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))) ),
introduced(definition,[new_symbols(definition,[spl20_54])],[avatar_definition]) ).
fof(f1150,plain,
( sK18(sK16(sK19)) = sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))
| ~ spl20_54 ),
inference(avatar_component_clause,[],[f1149]) ).
fof(f1151,plain,
( spl20_54
| spl20_53
| ~ spl20_23
| ~ spl20_33 ),
inference(avatar_split_clause,[],[f1147,f837,f690,f1144,f1149]) ).
fof(f1172,plain,
( atomic(sK14(sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))))
| ~ spl20_23
| ~ spl20_53 ),
inference(resolution,[],[f1145,f865]) ).
fof(f1180,plain,
( atomic(tptp0)
| ~ spl20_23
| ~ spl20_53 ),
inference(forward_demodulation,[],[f1172,f1008]) ).
fof(f1188,plain,
( $false
| ~ spl20_23
| ~ spl20_53 ),
inference(forward_subsumption_resolution,[],[f1180,f267]) ).
fof(f1189,plain,
( ~ spl20_23
| ~ spl20_53 ),
inference(avatar_contradiction_clause,[],[f1188]) ).
fof(f1202,plain,
( occurrence_of(sK18(sK16(sK19)),tptp3)
| ~ occurrence_of(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))),tptp0)
| ~ spl20_54 ),
inference(superposition,[],[f263,f1150]) ).
fof(f1207,plain,
( occurrence_of(sK18(sK16(sK19)),tptp3)
| ~ spl20_23
| ~ spl20_54 ),
inference(forward_subsumption_resolution,[],[f1202,f732]) ).
fof(f1213,plain,
( tptp3 = tptp1
| ~ spl20_21
| ~ spl20_23
| ~ spl20_54 ),
inference(resolution,[],[f1207,f705]) ).
fof(f1221,plain,
( $false
| ~ spl20_21
| ~ spl20_23
| ~ spl20_54 ),
inference(forward_subsumption_resolution,[],[f1213,f275]) ).
fof(f1222,plain,
( ~ spl20_21
| ~ spl20_23
| ~ spl20_54 ),
inference(avatar_contradiction_clause,[],[f1221]) ).
cnf(s7,plain,
( spl20_8
| ~ spl20_9 ),
inference(sat_conversion,[],[f428]) ).
cnf(s12,plain,
spl20_9,
inference(sat_conversion,[],[f454]) ).
cnf(s28,plain,
( spl20_21
| spl20_22 ),
inference(sat_conversion,[],[f688]) ).
cnf(s29,plain,
( spl20_22
| spl20_23 ),
inference(sat_conversion,[],[f692]) ).
cnf(s33,plain,
( ~ spl20_8
| ~ spl20_22 ),
inference(sat_conversion,[],[f702]) ).
cnf(s49,plain,
( ~ spl20_23
| spl20_33 ),
inference(sat_conversion,[],[f845]) ).
cnf(s67,plain,
( ~ spl20_23
| ~ spl20_33
| spl20_53
| spl20_54 ),
inference(sat_conversion,[],[f1151]) ).
cnf(s72,plain,
( ~ spl20_23
| ~ spl20_53 ),
inference(sat_conversion,[],[f1189]) ).
cnf(s77,plain,
( ~ spl20_21
| ~ spl20_23
| ~ spl20_54 ),
inference(sat_conversion,[],[f1222]) ).
cnf(s81,plain,
spl20_8,
inference(rat,[],[s7,s12]) ).
cnf(s83,plain,
~ spl20_22,
inference(rat,[],[s33,s81]) ).
cnf(s85,plain,
spl20_23,
inference(rat,[],[s29,s83]) ).
cnf(s86,plain,
spl20_21,
inference(rat,[],[s28,s83]) ).
cnf(s89,plain,
~ spl20_53,
inference(rat,[],[s72,s85]) ).
cnf(s93,plain,
spl20_33,
inference(rat,[],[s49,s85]) ).
cnf(s94,plain,
~ spl20_54,
inference(rat,[],[s77,s85,s86]) ).
cnf(s97,plain,
$false,
inference(rat,[],[s67,s85,s89,s94,s93]) ).
fof(f1223,plain,
$false,
inference(avatar_sat_refutation,[],[s97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO004+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n011.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 22:16:46 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.42 Running first-order theorem proving
% 0.14/0.42 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
% 9.41/2.06 % (2816136)Detected formulas, will run a generic FOF schedule.
% 9.41/2.06 % (2816153)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=419122308:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.41/2.06 % (2816153)Instruction limit reached!
% 9.41/2.06 % (2816153)------------------------------
% 9.41/2.06 % (2816153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.41/2.06 % (2816153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.41/2.06 % (2816153)CaDiCaL version: 2.1.3
% 9.41/2.06 % (2816153)Termination reason: Instruction limit
% 9.41/2.06 % (2816153)Termination phase: Saturation
% 9.41/2.06 % (2816153)Time elapsed: 0.074 s
% 9.41/2.06 % (2816153)Peak memory usage: 90 MB
% 9.41/2.06 % (2816153)Instructions burned: 139 (million)
% 9.41/2.06 % (2816154)dis-21_1_sil=8000:lcm=predicate:random_seed=1201748929: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)
% 9.41/2.06 % (2816150)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=3109844399:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.41/2.06 % (2816152)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4078661186:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.41/2.06 % (2816149)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=121002524:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.41/2.06 % (2816148)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=445291769:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.41/2.06 % (2816151)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3616220620:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.41/2.06 % (2816151)Refutation not found, incomplete strategy
% 9.41/2.06 % (2816151)------------------------------
% 9.41/2.06 % (2816151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.41/2.06 % (2816151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.41/2.06 % (2816151)CaDiCaL version: 2.1.3
% 9.41/2.06 % (2816151)Termination reason: Refutation not found, incomplete strategy
% 9.41/2.06 % (2816151)Time elapsed: 0.001 s
% 9.41/2.06 % (2816151)Peak memory usage: 86 MB
% 9.41/2.06 % (2816154)Instruction limit reached!
% 9.41/2.06 % (2816154)------------------------------
% 9.41/2.06 % (2816154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.41/2.06 % (2816154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.41/2.06 % (2816154)CaDiCaL version: 2.1.3
% 9.41/2.06 % (2816154)Termination reason: Instruction limit
% 9.41/2.06 % (2816154)Termination phase: Saturation
% 9.41/2.06 % (2816154)Time elapsed: 0.094 s
% 9.41/2.06 % (2816154)Peak memory usage: 89 MB
% 9.41/2.06 % (2816154)Instructions burned: 129 (million)
% 9.41/2.06 % (2816152)Instruction limit reached!
% 9.41/2.06 % (2816152)------------------------------
% 9.41/2.06 % (2816152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.41/2.06 % (2816152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.41/2.06 % (2816152)CaDiCaL version: 2.1.3
% 9.41/2.06 % (2816152)Termination reason: Instruction limit
% 9.41/2.06 % (2816152)Termination phase: Saturation
% 9.41/2.06 % (2816152)Time elapsed: 0.079 s
% 9.41/2.06 % (2816152)Peak memory usage: 88 MB
% 9.41/2.06 % (2816152)Instructions burned: 120 (million)
% 9.41/2.06 % (2816160)lrs+10_1_sil=8000:sp=occurrence:random_seed=2924270255:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 9.41/2.06 % (2816168)lrs+10_1_sil=32000:urr=on:br=off:random_seed=843867094:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.41/2.06 % (2816168)Refutation not found, incomplete strategy
% 9.41/2.06 % (2816168)------------------------------
% 9.41/2.06 % (2816168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.41/2.06 % (2816168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.41/2.06 % (2816168)CaDiCaL version: 2.1.3
% 9.41/2.06 % (2816168)Termination reason: Refutation not found, incomplete strategy
% 9.41/2.06 % (2816168)Time elapsed: 0.001 s
% 9.41/2.06 % (2816168)Peak memory usage: 88 MB
% 9.41/2.06 % (2816169)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2991032947:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 9.41/2.06 % (2816151)------------------------------
% 9.41/2.06 % (2816151)------------------------------
% 9.41/2.06 % (2816160)Instruction limit reached!
% 9.41/2.06 % (2816160)------------------------------
% 9.41/2.06 % (2816160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.41/2.06 % (2816160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.41/2.06 % (2816160)CaDiCaL version: 2.1.3
% 9.41/2.06 % (2816160)Termination reason: Instruction limit
% 9.41/2.06 % (2816160)Termination phase: Saturation
% 9.41/2.06 % (2816160)Time elapsed: 0.196 s
% 9.41/2.06 % (2816160)Peak memory usage: 91 MB
% 9.41/2.06 % (2816160)Instructions burned: 285 (million)
% 9.41/2.06 % (2816168)------------------------------
% 9.41/2.06 % (2816168)------------------------------
% 9.41/2.06 % (2816174)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=3270418808:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 9.41/2.06 % (2816176)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3593576992:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 9.41/2.06 % (2816169)Instruction limit reached!
% 9.41/2.06 % (2816169)------------------------------
% 9.41/2.06 % (2816169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.41/2.06 % (2816169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.41/2.06 % (2816169)CaDiCaL version: 2.1.3
% 9.41/2.06 % (2816169)Termination reason: Instruction limit
% 9.41/2.06 % (2816169)Termination phase: Saturation
% 9.41/2.06 % (2816169)Time elapsed: 0.211 s
% 9.41/2.06 % (2816169)Peak memory usage: 91 MB
% 9.41/2.06 % (2816169)Instructions burned: 326 (million)
% 9.41/2.06 % (2816175)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4169889678:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 9.41/2.06 % (2816174)Instruction limit reached!
% 9.41/2.06 % (2816174)------------------------------
% 9.41/2.06 % (2816174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.41/2.06 % (2816174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.41/2.06 % (2816174)CaDiCaL version: 2.1.3
% 9.41/2.06 % (2816174)Termination reason: Instruction limit
% 9.41/2.06 % (2816174)Termination phase: Saturation
% 9.41/2.06 % (2816174)Time elapsed: 0.141 s
% 9.41/2.06 % (2816174)Peak memory usage: 89 MB
% 9.41/2.06 % (2816174)Instructions burned: 248 (million)
% 9.41/2.06 % (2816179)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=636213866:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 9.41/2.06 % (2816175)Instruction limit reached!
% 9.41/2.06 % (2816175)------------------------------
% 9.41/2.06 % (2816175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.41/2.06 % (2816175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.41/2.06 % (2816175)CaDiCaL version: 2.1.3
% 9.41/2.06 % (2816175)Termination reason: Instruction limit
% 9.41/2.06 % (2816175)Termination phase: Saturation
% 9.41/2.06 % (2816175)Time elapsed: 0.180 s
% 9.41/2.06 % (2816175)Peak memory usage: 89 MB
% 9.41/2.06 % (2816175)Instructions burned: 296 (million)
% 9.41/2.06 % (2816179)Instruction limit reached!
% 9.41/2.06 % (2816179)------------------------------
% 9.41/2.06 % (2816179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.41/2.06 % (2816179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.41/2.06 % (2816179)CaDiCaL version: 2.1.3
% 9.41/2.06 % (2816179)Termination reason: Instruction limit
% 9.41/2.06 % (2816179)Termination phase: Saturation
% 9.41/2.06 % (2816179)Time elapsed: 0.082 s
% 9.41/2.06 % (2816179)Peak memory usage: 90 MB
% 9.41/2.06 % (2816179)Instructions burned: 113 (million)
% 9.41/2.06 % (2816182)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=413931822:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 9.41/2.06 % (2816182)Instruction limit reached!
% 9.41/2.06 % (2816182)------------------------------
% 9.41/2.06 % (2816182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.41/2.06 % (2816182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.41/2.06 % (2816182)CaDiCaL version: 2.1.3
% 9.41/2.06 % (2816182)Termination reason: Instruction limit
% 9.41/2.06 % (2816182)Termination phase: Saturation
% 9.41/2.06 % (2816182)Time elapsed: 0.068 s
% 9.41/2.06 % (2816182)Peak memory usage: 89 MB
% 9.41/2.06 % (2816182)Instructions burned: 127 (million)
% 9.41/2.06 % (2816185)lrs+10_1_sil=8000:sp=occurrence:random_seed=2273896135:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 9.41/2.06 % (2816184)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1793471220:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 9.41/2.06 % (2816184)Refutation not found, incomplete strategy
% 9.41/2.06 % (2816184)------------------------------
% 9.41/2.06 % (2816184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.41/2.06 % (2816184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.41/2.06 % (2816184)CaDiCaL version: 2.1.3
% 9.41/2.06 % (2816184)Termination reason: Refutation not found, incomplete strategy
% 9.41/2.06 % (2816184)Time elapsed: 0.001 s
% 9.41/2.06 % (2816184)Peak memory usage: 87 MB
% 9.41/2.06 % (2816149)First to succeed.
% 9.41/2.06 % (2816149)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2816136"
% 9.41/2.06 % (2816207)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1089914699:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 9.41/2.06 % (2816207)Refutation not found, incomplete strategy
% 9.41/2.06 % (2816207)------------------------------
% 9.41/2.06 % (2816207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.41/2.06 % (2816207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.41/2.06 % (2816207)CaDiCaL version: 2.1.3
% 9.41/2.06 % (2816207)Termination reason: Refutation not found, incomplete strategy
% 9.41/2.06 % (2816207)Time elapsed: 0.003 s
% 9.41/2.06 % (2816207)Peak memory usage: 88 MB
% 9.41/2.06 % (2816207)Instructions burned: 6 (million)
% 9.41/2.06 % (2816176)Also succeeded, but the first one will report.
% 9.41/2.06 % (2816207)------------------------------
% 9.41/2.06 % (2816207)------------------------------
% 9.41/2.06 % (2816184)------------------------------
% 9.41/2.06 % (2816184)------------------------------
% 9.41/2.06 % (2816149)Refutation found. Thanks to Tanya!
% 9.41/2.06 % SZS status Theorem for theBenchmark
% 9.41/2.06 % SZS output start Proof for theBenchmark
% See solution above
% 9.74/2.16 % (2816149)------------------------------
% 9.74/2.16 % (2816149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.74/2.16 % (2816149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/2.16 % (2816149)CaDiCaL version: 2.1.3
% 9.74/2.16 % (2816149)Termination reason: Refutation
% 9.74/2.16 % (2816149)Time elapsed: 0.851 s
% 9.74/2.16 % (2816149)Peak memory usage: 131 MB
% 9.74/2.16 % (2816149)Instructions burned: 1116 (million)
% 9.74/2.16 % (2816149)------------------------------
% 9.74/2.16 % (2816149)------------------------------
% 9.74/2.16 % (2816136)Success in time 1.319 s
% 9.74/2.16 % Vampire exiting
%------------------------------------------------------------------------------