%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PRO002+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 12:30:20 PM UTC 2026
% Result : Theorem 9.60s 2.34s
% Output : Refutation 10.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 35
% Syntax : Number of formulae : 276 ( 29 unt; 17 def)
% Number of atoms : 892 ( 55 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 1084 ( 468 ~; 481 |; 99 &)
% ( 23 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 31 ( 29 usr; 18 prp; 0-5 aty)
% Number of functors : 19 ( 19 usr; 7 con; 0-3 aty)
% Number of variables : 384 ( 0 sgn 337 !; 47 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( occurrence_of(X1,X0)
& subactivity_occurrence(X2,X1)
& leaf_occ(X3,X1)
& arboreal(X2)
& ~ min_precedes(X2,X3,X0) )
=> X3 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
fof(f5,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/sandbox/benchmark/theBenchmark.p',sos_04) ).
fof(f7,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/sandbox/benchmark/theBenchmark.p',sos_06) ).
fof(f9,axiom,
! [X0,X1,X2] :
( ( occurrence_of(X0,X1)
& occurrence_of(X0,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_08) ).
fof(f11,axiom,
! [X0,X1,X2] :
( ( occurrence_of(X0,X2)
& root_occ(X1,X0) )
=> ~ ? [X3] : min_precedes(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_10) ).
fof(f14,axiom,
! [X0] :
( legal(X0)
=> arboreal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_13) ).
fof(f16,axiom,
! [X0,X1] :
( leaf(X0,X1)
<=> ( ( root(X0,X1)
| ? [X2] : min_precedes(X2,X0,X1) )
& ~ ? [X3] : min_precedes(X0,X3,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_15) ).
fof(f18,axiom,
! [X0,X1] :
( root(X0,X1)
=> legal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_17) ).
fof(f19,axiom,
! [X0,X1] :
( leaf_occ(X0,X1)
<=> ? [X2] :
( occurrence_of(X1,X2)
& subactivity_occurrence(X0,X1)
& leaf(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_18) ).
fof(f20,axiom,
! [X0,X1] :
( root_occ(X0,X1)
<=> ? [X2] :
( occurrence_of(X1,X2)
& subactivity_occurrence(X0,X1)
& root(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_19) ).
fof(f23,axiom,
! [X0,X1,X2] :
( min_precedes(X0,X1,X2)
=> ~ root(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_22) ).
fof(f26,axiom,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
=> ( arboreal(X0)
& arboreal(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_25) ).
fof(f27,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/sandbox/benchmark/theBenchmark.p',sos_26) ).
fof(f33,axiom,
! [X0] :
( occurrence_of(X0,tptp0)
=> ? [X1,X2] :
( occurrence_of(X1,tptp4)
& root_occ(X1,X0)
& ( occurrence_of(X2,tptp3)
| occurrence_of(X2,tptp2) )
& leaf_occ(X2,X0)
& next_subocc(X1,X2,tptp0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).
fof(f47,axiom,
! [X0,X1,X2,X3,X4] :
( send_message(X0,X1,X2,X3,X4)
=> ( X0 != tptp4
& X0 != tptp3
& X0 != tptp2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_46) ).
fof(f48,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( send_message(X0,X1,X2,X3,X4)
& occurrence_of(X5,X0) )
=> min_precedes(X3,X5,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_47) ).
fof(f50,axiom,
! [X0,X1,X2,X3] :
( ( tptp1(X0,X1,X2)
& occurrence_of(X3,X0) )
=> ? [X4,X5,X6,X7] :
( send_message(X4,X5,X6,X2,X1)
& occurrence_of(X7,X4)
& root_occ(X7,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_49) ).
fof(f52,conjecture,
~ ? [X0,X1,X2] :
( tptp1(X0,tptp0,X1)
& occurrence_of(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f53,negated_conjecture,
~ ~ ? [X0,X1,X2] :
( tptp1(X0,tptp0,X1)
& occurrence_of(X2,X0) ),
inference(negated_conjecture,[status(cth)],[f52]) ).
fof(f54,plain,
? [X0,X1,X2] :
( tptp1(X0,tptp0,X1)
& occurrence_of(X2,X0) ),
inference(flattening,[],[f53]) ).
fof(f67,plain,
! [X0,X1,X2,X3] :
( X3 = X2
| ~ occurrence_of(X1,X0)
| ~ subactivity_occurrence(X2,X1)
| ~ leaf_occ(X3,X1)
| ~ arboreal(X2)
| min_precedes(X2,X3,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f68,plain,
! [X0,X1,X2,X3] :
( X3 = X2
| ~ occurrence_of(X1,X0)
| ~ subactivity_occurrence(X2,X1)
| ~ leaf_occ(X3,X1)
| ~ arboreal(X2)
| min_precedes(X2,X3,X0) ),
inference(flattening,[],[f67]) ).
fof(f70,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,[],[f5]) ).
fof(f71,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,[],[f70]) ).
fof(f73,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,[],[f7]) ).
fof(f76,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2) ),
inference(ennf_transformation,[],[f9]) ).
fof(f77,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2) ),
inference(flattening,[],[f76]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X3,X1,X2)
| ~ occurrence_of(X0,X2)
| ~ root_occ(X1,X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X3,X1,X2)
| ~ occurrence_of(X0,X2)
| ~ root_occ(X1,X0) ),
inference(flattening,[],[f80]) ).
fof(f84,plain,
! [X0] :
( arboreal(X0)
| ~ legal(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f86,plain,
! [X0,X1] :
( leaf(X0,X1)
<=> ( ( root(X0,X1)
| ? [X2] : min_precedes(X2,X0,X1) )
& ! [X3] : ~ min_precedes(X0,X3,X1) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f88,plain,
! [X0,X1] :
( legal(X0)
| ~ root(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ~ root(X1,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ( arboreal(X0)
& arboreal(X1) )
| ~ next_subocc(X0,X1,X2) ),
inference(ennf_transformation,[],[f26]) ).
fof(f94,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,[],[f27]) ).
fof(f105,plain,
! [X0] :
( ? [X1,X2] :
( occurrence_of(X1,tptp4)
& root_occ(X1,X0)
& ( occurrence_of(X2,tptp3)
| occurrence_of(X2,tptp2) )
& leaf_occ(X2,X0)
& next_subocc(X1,X2,tptp0) )
| ~ occurrence_of(X0,tptp0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f107,plain,
! [X0,X1,X2,X3,X4] :
( ( X0 != tptp4
& X0 != tptp3
& X0 != tptp2 )
| ~ send_message(X0,X1,X2,X3,X4) ),
inference(ennf_transformation,[],[f47]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5] :
( min_precedes(X3,X5,X4)
| ~ send_message(X0,X1,X2,X3,X4)
| ~ occurrence_of(X5,X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4,X5] :
( min_precedes(X3,X5,X4)
| ~ send_message(X0,X1,X2,X3,X4)
| ~ occurrence_of(X5,X0) ),
inference(flattening,[],[f108]) ).
fof(f111,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5,X6,X7] :
( send_message(X4,X5,X6,X2,X1)
& occurrence_of(X7,X4)
& root_occ(X7,X3) )
| ~ tptp1(X0,X1,X2)
| ~ occurrence_of(X3,X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f112,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5,X6,X7] :
( send_message(X4,X5,X6,X2,X1)
& occurrence_of(X7,X4)
& root_occ(X7,X3) )
| ~ tptp1(X0,X1,X2)
| ~ occurrence_of(X3,X0) ),
inference(flattening,[],[f111]) ).
fof(f115,plain,
! [X0,X1,X2] :
( ( occurrence_of(sK2(X0,X1,X2),X0)
& subactivity_occurrence(X1,sK2(X0,X1,X2))
& subactivity_occurrence(X2,sK2(X0,X1,X2)) )
| ~ min_precedes(X1,X2,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X3,sK2(X0,X1,X2))],[f73]) ).
fof(f119,plain,
! [X0,X1] :
( ( leaf(X0,X1)
| ( ~ root(X0,X1)
& ! [X2] : ~ min_precedes(X2,X0,X1) )
| ? [X3] : min_precedes(X0,X3,X1) )
& ( ( ( root(X0,X1)
| ? [X2] : min_precedes(X2,X0,X1) )
& ! [X3] : ~ min_precedes(X0,X3,X1) )
| ~ leaf(X0,X1) ) ),
inference(nnf_transformation,[],[f86]) ).
fof(f120,plain,
! [X0,X1] :
( ( leaf(X0,X1)
| ( ~ root(X0,X1)
& ! [X2] : ~ min_precedes(X2,X0,X1) )
| ? [X3] : min_precedes(X0,X3,X1) )
& ( ( ( root(X0,X1)
| ? [X2] : min_precedes(X2,X0,X1) )
& ! [X3] : ~ min_precedes(X0,X3,X1) )
| ~ leaf(X0,X1) ) ),
inference(flattening,[],[f119]) ).
fof(f121,plain,
! [X0,X1] :
( ( leaf(X0,X1)
| ( ~ root(X0,X1)
& ! [X2] : ~ min_precedes(X2,X0,X1) )
| ? [X3] : min_precedes(X0,X3,X1) )
& ( ( ( root(X0,X1)
| ? [X4] : min_precedes(X4,X0,X1) )
& ! [X5] : ~ min_precedes(X0,X5,X1) )
| ~ leaf(X0,X1) ) ),
inference(rectify,[],[f120]) ).
fof(f122,plain,
! [X0,X1] :
( ( leaf(X0,X1)
| ( ~ root(X0,X1)
& ! [X2] : ~ min_precedes(X2,X0,X1) )
| min_precedes(X0,sK6(X0,X1),X1) )
& ( ( ( root(X0,X1)
| min_precedes(sK7(X0,X1),X0,X1) )
& ! [X5] : ~ min_precedes(X0,X5,X1) )
| ~ leaf(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X3,sK6(X0,X1)),skolemize(X4,sK7(X0,X1))],[f121]) ).
fof(f124,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,[],[f19]) ).
fof(f125,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,[],[f124]) ).
fof(f126,plain,
! [X0,X1] :
( ( leaf_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ leaf(X0,X2) ) )
& ( ( occurrence_of(X1,sK8(X0,X1))
& subactivity_occurrence(X0,X1)
& leaf(X0,sK8(X0,X1)) )
| ~ leaf_occ(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X3,sK8(X0,X1))],[f125]) ).
fof(f127,plain,
! [X0,X1] :
( ( root_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ root(X0,X2) ) )
& ( ? [X2] :
( occurrence_of(X1,X2)
& subactivity_occurrence(X0,X1)
& root(X0,X2) )
| ~ root_occ(X0,X1) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f128,plain,
! [X0,X1] :
( ( root_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ root(X0,X2) ) )
& ( ? [X3] :
( occurrence_of(X1,X3)
& subactivity_occurrence(X0,X1)
& root(X0,X3) )
| ~ root_occ(X0,X1) ) ),
inference(rectify,[],[f127]) ).
fof(f129,plain,
! [X0,X1] :
( ( root_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ root(X0,X2) ) )
& ( ( occurrence_of(X1,sK9(X0,X1))
& subactivity_occurrence(X0,X1)
& root(X0,sK9(X0,X1)) )
| ~ root_occ(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X3,sK9(X0,X1))],[f128]) ).
fof(f133,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,[],[f94]) ).
fof(f134,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,[],[f133]) ).
fof(f135,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,[],[f134]) ).
fof(f136,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ~ min_precedes(X0,X1,X2)
| ( min_precedes(X0,sK11(X0,X1,X2),X2)
& min_precedes(sK11(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,[sK11]),skolemize(X3,sK11(X0,X1,X2))],[f135]) ).
fof(f137,plain,
! [X0] :
( ( occurrence_of(sK12(X0),tptp4)
& root_occ(sK12(X0),X0)
& ( occurrence_of(sK13(X0),tptp3)
| occurrence_of(sK13(X0),tptp2) )
& leaf_occ(sK13(X0),X0)
& next_subocc(sK12(X0),sK13(X0),tptp0) )
| ~ occurrence_of(X0,tptp0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13]),skolemize(X1,sK12(X0)),skolemize(X2,sK13(X0))],[f105]) ).
fof(f138,plain,
! [X0,X1,X2,X3] :
( ( send_message(sK14(X1,X2,X3),sK15(X1,X2,X3),sK16(X1,X2,X3),X2,X1)
& occurrence_of(sK17(X1,X2,X3),sK14(X1,X2,X3))
& root_occ(sK17(X1,X2,X3),X3) )
| ~ tptp1(X0,X1,X2)
| ~ occurrence_of(X3,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15,sK16,sK17]),skolemize(X4,sK14(X1,X2,X3)),skolemize(X5,sK15(X1,X2,X3)),skolemize(X6,sK16(X1,X2,X3)),skolemize(X7,sK17(X1,X2,X3))],[f112]) ).
fof(f139,plain,
( tptp1(sK18,tptp0,sK19)
& occurrence_of(sK20,sK18) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18,sK19,sK20]),skolemize(X0,sK18),skolemize(X1,sK19),skolemize(X2,sK20)],[f54]) ).
fof(f143,plain,
! [X2,X3,X0,X1] :
( ~ leaf_occ(X3,X1)
| ~ occurrence_of(X1,X0)
| ~ subactivity_occurrence(X2,X1)
| X2 = X3
| ~ arboreal(X2)
| min_precedes(X2,X3,X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f145,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,[],[f71]) ).
fof(f147,plain,
! [X2,X0,X1] :
( subactivity_occurrence(X2,sK2(X0,X1,X2))
| ~ min_precedes(X1,X2,X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f148,plain,
! [X2,X0,X1] :
( subactivity_occurrence(X1,sK2(X0,X1,X2))
| ~ min_precedes(X1,X2,X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f149,plain,
! [X2,X0,X1] :
( occurrence_of(sK2(X0,X1,X2),X0)
| ~ min_precedes(X1,X2,X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f152,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f77]) ).
fof(f154,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X3,X1,X2)
| ~ occurrence_of(X0,X2)
| ~ root_occ(X1,X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f158,plain,
! [X0] :
( ~ legal(X0)
| arboreal(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f161,plain,
! [X0,X1,X5] :
( ~ min_precedes(X0,X5,X1)
| ~ leaf(X0,X1) ),
inference(cnf_transformation,[],[f122]) ).
fof(f167,plain,
! [X0,X1] :
( ~ root(X0,X1)
| legal(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f168,plain,
! [X0,X1] :
( leaf(X0,sK8(X0,X1))
| ~ leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f126]) ).
fof(f170,plain,
! [X0,X1] :
( occurrence_of(X1,sK8(X0,X1))
| ~ leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f126]) ).
fof(f172,plain,
! [X0,X1] :
( root(X0,sK9(X0,X1))
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f173,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f174,plain,
! [X0,X1] :
( occurrence_of(X1,sK9(X0,X1))
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f180,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| ~ root(X1,X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f184,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| arboreal(X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f185,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| arboreal(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f186,plain,
! [X2,X0,X1,X4] :
( ~ next_subocc(X0,X1,X2)
| ~ min_precedes(X4,X1,X2)
| ~ min_precedes(X0,X4,X2) ),
inference(cnf_transformation,[],[f136]) ).
fof(f195,plain,
! [X0] :
( next_subocc(sK12(X0),sK13(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f196,plain,
! [X0] :
( leaf_occ(sK13(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f197,plain,
! [X0] :
( occurrence_of(sK13(X0),tptp2)
| occurrence_of(sK13(X0),tptp3)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f198,plain,
! [X0] :
( root_occ(sK12(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f214,plain,
! [X2,X3,X0,X1,X4] :
( tptp2 != X0
| ~ send_message(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f107]) ).
fof(f215,plain,
! [X2,X3,X0,X1,X4] :
( tptp3 != X0
| ~ send_message(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f107]) ).
fof(f217,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ send_message(X0,X1,X2,X3,X4)
| min_precedes(X3,X5,X4)
| ~ occurrence_of(X5,X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f221,plain,
! [X2,X3,X0,X1] :
( ~ tptp1(X0,X1,X2)
| root_occ(sK17(X1,X2,X3),X3)
| ~ occurrence_of(X3,X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f222,plain,
! [X2,X3,X0,X1] :
( ~ tptp1(X0,X1,X2)
| occurrence_of(sK17(X1,X2,X3),sK14(X1,X2,X3))
| ~ occurrence_of(X3,X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f223,plain,
! [X2,X3,X0,X1] :
( ~ tptp1(X0,X1,X2)
| send_message(sK14(X1,X2,X3),sK15(X1,X2,X3),sK16(X1,X2,X3),X2,X1)
| ~ occurrence_of(X3,X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f225,plain,
occurrence_of(sK20,sK18),
inference(cnf_transformation,[],[f139]) ).
fof(f226,plain,
tptp1(sK18,tptp0,sK19),
inference(cnf_transformation,[],[f139]) ).
fof(f228,plain,
! [X2,X3,X1,X4] : ~ send_message(tptp3,X1,X2,X3,X4),
inference(equality_resolution,[],[f215]) ).
fof(f229,plain,
! [X2,X3,X1,X4] : ~ send_message(tptp2,X1,X2,X3,X4),
inference(equality_resolution,[],[f214]) ).
fof(f230,plain,
! [X0] :
( send_message(sK14(tptp0,sK19,X0),sK15(tptp0,sK19,X0),sK16(tptp0,sK19,X0),sK19,tptp0)
| ~ occurrence_of(X0,sK18) ),
inference(resolution,[],[f223,f226]) ).
fof(f231,plain,
! [X0] :
( occurrence_of(sK17(tptp0,sK19,X0),sK14(tptp0,sK19,X0))
| ~ occurrence_of(X0,sK18) ),
inference(resolution,[],[f222,f226]) ).
fof(f233,plain,
! [X0,X1] :
( ~ occurrence_of(sK17(tptp0,sK19,X0),X1)
| sK14(tptp0,sK19,X0) = X1
| ~ occurrence_of(X0,sK18) ),
inference(resolution,[],[f152,f231]) ).
fof(f240,plain,
! [X0,X1] :
( ~ occurrence_of(X0,sK14(tptp0,sK19,X1))
| min_precedes(sK19,X0,tptp0)
| ~ occurrence_of(X1,sK18) ),
inference(resolution,[],[f217,f230]) ).
fof(f241,plain,
! [X0] :
( min_precedes(sK19,sK17(tptp0,sK19,X0),tptp0)
| ~ occurrence_of(X0,sK18)
| ~ occurrence_of(X0,sK18) ),
inference(resolution,[],[f240,f231]) ).
fof(f242,plain,
! [X0] :
( min_precedes(sK19,sK17(tptp0,sK19,X0),tptp0)
| ~ occurrence_of(X0,sK18) ),
inference(duplicate_literal_removal,[],[f241]) ).
fof(f254,plain,
! [X0] :
( root_occ(sK17(tptp0,sK19,X0),X0)
| ~ occurrence_of(X0,sK18) ),
inference(resolution,[],[f221,f226]) ).
fof(f260,plain,
! [X2,X0,X1] :
( min_precedes(X2,sK13(X0),X1)
| ~ subactivity_occurrence(X2,X0)
| sK13(X0) = X2
| ~ arboreal(X2)
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f143,f196]) ).
fof(f265,plain,
! [X2,X3,X0,X1,X4] :
( ~ subactivity_occurrence(X1,sK2(X3,X0,X4))
| X0 = X1
| ~ occurrence_of(sK2(X3,X0,X4),X2)
| ~ arboreal(X1)
| ~ arboreal(X0)
| min_precedes(X0,X1,X2)
| min_precedes(X1,X0,X2)
| ~ min_precedes(X0,X4,X3) ),
inference(resolution,[],[f145,f148]) ).
fof(f289,plain,
! [X2,X3,X0,X1] :
( ~ occurrence_of(sK2(X2,X0,X1),X3)
| ~ min_precedes(X0,X1,X2)
| X2 = X3 ),
inference(resolution,[],[f149,f152]) ).
fof(f310,plain,
! [X0,X1] :
( ~ min_precedes(sK12(X1),X0,tptp0)
| ~ min_precedes(X0,sK13(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(resolution,[],[f186,f195]) ).
fof(f355,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| arboreal(sK13(X0)) ),
inference(resolution,[],[f184,f195]) ).
fof(f390,plain,
! [X2,X3,X0,X1] :
( ~ root_occ(X3,sK2(X2,X0,X1))
| sK9(X3,sK2(X2,X0,X1)) = X2
| ~ min_precedes(X0,X1,X2) ),
inference(resolution,[],[f289,f174]) ).
fof(f391,plain,
! [X2,X3,X0,X1] :
( ~ leaf_occ(X3,sK2(X2,X0,X1))
| sK8(X3,sK2(X2,X0,X1)) = X2
| ~ min_precedes(X0,X1,X2) ),
inference(resolution,[],[f289,f170]) ).
fof(f397,plain,
! [X2,X0,X1] :
( ~ occurrence_of(sK2(X0,X1,X2),tptp0)
| ~ min_precedes(X1,X2,X0)
| sK9(sK12(sK2(X0,X1,X2)),sK2(X0,X1,X2)) = X0 ),
inference(resolution,[],[f390,f198]) ).
fof(f399,plain,
! [X0,X1] :
( ~ min_precedes(X0,X1,tptp0)
| tptp0 = sK9(sK12(sK2(tptp0,X0,X1)),sK2(tptp0,X0,X1))
| ~ min_precedes(X0,X1,tptp0) ),
inference(resolution,[],[f397,f149]) ).
fof(f400,plain,
! [X0,X1] :
( ~ min_precedes(X0,X1,tptp0)
| tptp0 = sK9(sK12(sK2(tptp0,X0,X1)),sK2(tptp0,X0,X1)) ),
inference(duplicate_literal_removal,[],[f399]) ).
fof(f415,definition,
( spl21_5
<=> occurrence_of(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)),tptp0) ),
introduced(definition,[new_symbols(definition,[spl21_5])],[avatar_definition]) ).
fof(f416,plain,
( ~ occurrence_of(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)),tptp0)
| spl21_5 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f417,plain,
( occurrence_of(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)),tptp0)
| ~ spl21_5 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f426,plain,
( ~ min_precedes(sK19,sK17(tptp0,sK19,sK20),tptp0)
| spl21_5 ),
inference(resolution,[],[f416,f149]) ).
fof(f427,plain,
( ~ occurrence_of(sK20,sK18)
| spl21_5 ),
inference(resolution,[],[f426,f242]) ).
fof(f428,plain,
( $false
| spl21_5 ),
inference(forward_subsumption_resolution,[],[f427,f225]) ).
fof(f429,plain,
spl21_5,
inference(avatar_contradiction_clause,[],[f428]) ).
fof(f432,plain,
( arboreal(sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))))
| ~ spl21_5 ),
inference(resolution,[],[f417,f355]) ).
fof(f467,definition,
( spl21_11
<=> min_precedes(sK19,sK17(tptp0,sK19,sK20),tptp0) ),
introduced(definition,[new_symbols(definition,[spl21_11])],[avatar_definition]) ).
fof(f468,plain,
( min_precedes(sK19,sK17(tptp0,sK19,sK20),tptp0)
| ~ spl21_11 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f469,plain,
( ~ min_precedes(sK19,sK17(tptp0,sK19,sK20),tptp0)
| spl21_11 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f471,definition,
( spl21_12
<=> arboreal(sK17(tptp0,sK19,sK20)) ),
introduced(definition,[new_symbols(definition,[spl21_12])],[avatar_definition]) ).
fof(f472,plain,
( arboreal(sK17(tptp0,sK19,sK20))
| ~ spl21_12 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f473,plain,
( ~ arboreal(sK17(tptp0,sK19,sK20))
| spl21_12 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f524,plain,
! [X2,X0,X1] :
( ~ occurrence_of(sK2(X0,X1,X2),tptp0)
| ~ min_precedes(X1,X2,X0)
| sK8(sK13(sK2(X0,X1,X2)),sK2(X0,X1,X2)) = X0 ),
inference(resolution,[],[f391,f196]) ).
fof(f526,plain,
! [X0,X1] :
( ~ min_precedes(X0,X1,tptp0)
| tptp0 = sK8(sK13(sK2(tptp0,X0,X1)),sK2(tptp0,X0,X1))
| ~ min_precedes(X0,X1,tptp0) ),
inference(resolution,[],[f524,f149]) ).
fof(f527,plain,
! [X0,X1] :
( ~ min_precedes(X0,X1,tptp0)
| tptp0 = sK8(sK13(sK2(tptp0,X0,X1)),sK2(tptp0,X0,X1)) ),
inference(duplicate_literal_removal,[],[f526]) ).
fof(f528,plain,
! [X0] :
( ~ occurrence_of(X0,sK18)
| tptp0 = sK8(sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,X0))),sK2(tptp0,sK19,sK17(tptp0,sK19,X0))) ),
inference(resolution,[],[f527,f242]) ).
fof(f534,plain,
tptp0 = sK8(sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))),sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))),
inference(resolution,[],[f528,f225]) ).
fof(f536,plain,
( leaf(sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))),tptp0)
| ~ leaf_occ(sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))),sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))) ),
inference(superposition,[],[f168,f534]) ).
fof(f538,definition,
( spl21_20
<=> leaf_occ(sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))),sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))) ),
introduced(definition,[new_symbols(definition,[spl21_20])],[avatar_definition]) ).
fof(f539,plain,
( leaf_occ(sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))),sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))
| ~ spl21_20 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f540,plain,
( ~ leaf_occ(sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))),sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))
| spl21_20 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f542,definition,
( spl21_21
<=> leaf(sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))),tptp0) ),
introduced(definition,[new_symbols(definition,[spl21_21])],[avatar_definition]) ).
fof(f544,plain,
( leaf(sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))),tptp0)
| ~ spl21_21 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f545,plain,
( ~ spl21_20
| spl21_21 ),
inference(avatar_split_clause,[],[f536,f542,f538]) ).
fof(f546,plain,
( ~ occurrence_of(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)),tptp0)
| spl21_20 ),
inference(resolution,[],[f540,f196]) ).
fof(f547,plain,
( $false
| ~ spl21_5
| spl21_20 ),
inference(forward_subsumption_resolution,[],[f546,f417]) ).
fof(f548,plain,
( ~ spl21_5
| spl21_20 ),
inference(avatar_contradiction_clause,[],[f547]) ).
fof(f554,plain,
( ! [X0,X1] :
( min_precedes(X1,sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))),X0)
| ~ subactivity_occurrence(X1,sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))
| sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))) = X1
| ~ arboreal(X1)
| ~ occurrence_of(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)),X0) )
| ~ spl21_20 ),
inference(resolution,[],[f539,f143]) ).
fof(f581,definition,
( spl21_27
<=> sK17(tptp0,sK19,sK20) = sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))) ),
introduced(definition,[new_symbols(definition,[spl21_27])],[avatar_definition]) ).
fof(f582,plain,
( sK17(tptp0,sK19,sK20) != sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))
| spl21_27 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f583,plain,
( sK17(tptp0,sK19,sK20) = sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))
| ~ spl21_27 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f593,plain,
( ~ occurrence_of(sK20,sK18)
| spl21_11 ),
inference(resolution,[],[f469,f242]) ).
fof(f594,plain,
( $false
| spl21_11 ),
inference(forward_subsumption_resolution,[],[f593,f225]) ).
fof(f595,plain,
spl21_11,
inference(avatar_contradiction_clause,[],[f594]) ).
fof(f600,plain,
( ! [X0] :
( ~ root_occ(sK17(tptp0,sK19,sK20),X0)
| ~ occurrence_of(X0,tptp0) )
| ~ spl21_11 ),
inference(resolution,[],[f468,f154]) ).
fof(f719,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| legal(X0) ),
inference(resolution,[],[f167,f172]) ).
fof(f723,plain,
! [X0] :
( legal(sK17(tptp0,sK19,X0))
| ~ occurrence_of(X0,sK18) ),
inference(resolution,[],[f719,f254]) ).
fof(f725,plain,
! [X0] :
( arboreal(sK17(tptp0,sK19,X0))
| ~ occurrence_of(X0,sK18) ),
inference(resolution,[],[f723,f158]) ).
fof(f1613,plain,
( ~ occurrence_of(sK20,sK18)
| spl21_12 ),
inference(resolution,[],[f725,f473]) ).
fof(f1615,plain,
( $false
| spl21_12 ),
inference(forward_subsumption_resolution,[],[f1613,f225]) ).
fof(f1616,plain,
spl21_12,
inference(avatar_contradiction_clause,[],[f1615]) ).
fof(f1633,definition,
( spl21_87
<=> min_precedes(sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))),tptp0) ),
introduced(definition,[new_symbols(definition,[spl21_87])],[avatar_definition]) ).
fof(f1634,plain,
( ~ min_precedes(sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))),tptp0)
| spl21_87 ),
inference(avatar_component_clause,[],[f1633]) ).
fof(f1635,plain,
( min_precedes(sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))),tptp0)
| ~ spl21_87 ),
inference(avatar_component_clause,[],[f1633]) ).
fof(f1701,plain,
( occurrence_of(sK17(tptp0,sK19,sK20),tptp2)
| occurrence_of(sK17(tptp0,sK19,sK20),tptp3)
| ~ occurrence_of(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)),tptp0)
| ~ spl21_27 ),
inference(superposition,[],[f197,f583]) ).
fof(f1719,plain,
( occurrence_of(sK17(tptp0,sK19,sK20),tptp2)
| occurrence_of(sK17(tptp0,sK19,sK20),tptp3)
| ~ spl21_5
| ~ spl21_27 ),
inference(forward_subsumption_resolution,[],[f1701,f417]) ).
fof(f1775,definition,
( spl21_91
<=> occurrence_of(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))),tptp0) ),
introduced(definition,[new_symbols(definition,[spl21_91])],[avatar_definition]) ).
fof(f1776,plain,
( ~ occurrence_of(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))),tptp0)
| spl21_91 ),
inference(avatar_component_clause,[],[f1775]) ).
fof(f1777,plain,
( occurrence_of(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))),tptp0)
| ~ spl21_91 ),
inference(avatar_component_clause,[],[f1775]) ).
fof(f1781,plain,
( ~ min_precedes(sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))),tptp0)
| spl21_91 ),
inference(resolution,[],[f1776,f149]) ).
fof(f1782,plain,
( $false
| ~ spl21_87
| spl21_91 ),
inference(forward_subsumption_resolution,[],[f1781,f1635]) ).
fof(f1783,plain,
( ~ spl21_87
| spl21_91 ),
inference(avatar_contradiction_clause,[],[f1782]) ).
fof(f1785,plain,
( ~ subactivity_occurrence(sK17(tptp0,sK19,sK20),sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))
| sK17(tptp0,sK19,sK20) = sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))
| ~ arboreal(sK17(tptp0,sK19,sK20))
| ~ occurrence_of(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)),tptp0)
| ~ spl21_20
| spl21_87 ),
inference(resolution,[],[f1634,f554]) ).
fof(f1787,plain,
( ~ subactivity_occurrence(sK17(tptp0,sK19,sK20),sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))
| ~ arboreal(sK17(tptp0,sK19,sK20))
| ~ occurrence_of(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)),tptp0)
| ~ spl21_20
| spl21_27
| spl21_87 ),
inference(forward_subsumption_resolution,[],[f1785,f582]) ).
fof(f1789,plain,
( ~ subactivity_occurrence(sK17(tptp0,sK19,sK20),sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))
| ~ occurrence_of(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)),tptp0)
| ~ spl21_12
| ~ spl21_20
| spl21_27
| spl21_87 ),
inference(forward_subsumption_resolution,[],[f1787,f472]) ).
fof(f1791,plain,
( ~ subactivity_occurrence(sK17(tptp0,sK19,sK20),sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))
| ~ spl21_5
| ~ spl21_12
| ~ spl21_20
| spl21_27
| spl21_87 ),
inference(forward_subsumption_resolution,[],[f1789,f417]) ).
fof(f1793,plain,
( ~ min_precedes(sK19,sK17(tptp0,sK19,sK20),tptp0)
| ~ spl21_5
| ~ spl21_12
| ~ spl21_20
| spl21_27
| spl21_87 ),
inference(resolution,[],[f1791,f147]) ).
fof(f1794,plain,
( $false
| ~ spl21_5
| ~ spl21_11
| ~ spl21_12
| ~ spl21_20
| spl21_27
| spl21_87 ),
inference(forward_subsumption_resolution,[],[f1793,f468]) ).
fof(f1795,plain,
( ~ spl21_5
| ~ spl21_11
| ~ spl21_12
| ~ spl21_20
| spl21_27
| spl21_87 ),
inference(avatar_contradiction_clause,[],[f1794]) ).
fof(f1797,definition,
( spl21_92
<=> occurrence_of(sK17(tptp0,sK19,sK20),tptp3) ),
introduced(definition,[new_symbols(definition,[spl21_92])],[avatar_definition]) ).
fof(f1799,plain,
( occurrence_of(sK17(tptp0,sK19,sK20),tptp3)
| ~ spl21_92 ),
inference(avatar_component_clause,[],[f1797]) ).
fof(f1801,definition,
( spl21_93
<=> occurrence_of(sK17(tptp0,sK19,sK20),tptp2) ),
introduced(definition,[new_symbols(definition,[spl21_93])],[avatar_definition]) ).
fof(f1803,plain,
( occurrence_of(sK17(tptp0,sK19,sK20),tptp2)
| ~ spl21_93 ),
inference(avatar_component_clause,[],[f1801]) ).
fof(f1825,plain,
( tptp0 = sK9(sK12(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))))),sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))))
| ~ spl21_87 ),
inference(resolution,[],[f1635,f400]) ).
fof(f2101,plain,
( root(sK12(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))))),tptp0)
| ~ root_occ(sK12(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))))),sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))))
| ~ spl21_87 ),
inference(superposition,[],[f172,f1825]) ).
fof(f2104,definition,
( spl21_101
<=> root_occ(sK12(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))))),sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))))) ),
introduced(definition,[new_symbols(definition,[spl21_101])],[avatar_definition]) ).
fof(f2105,plain,
( root_occ(sK12(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))))),sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))))
| ~ spl21_101 ),
inference(avatar_component_clause,[],[f2104]) ).
fof(f2106,plain,
( ~ root_occ(sK12(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))))),sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))))
| spl21_101 ),
inference(avatar_component_clause,[],[f2104]) ).
fof(f2108,definition,
( spl21_102
<=> root(sK12(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))))),tptp0) ),
introduced(definition,[new_symbols(definition,[spl21_102])],[avatar_definition]) ).
fof(f2110,plain,
( root(sK12(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))))),tptp0)
| ~ spl21_102 ),
inference(avatar_component_clause,[],[f2108]) ).
fof(f2111,plain,
( ~ spl21_101
| spl21_102
| ~ spl21_87 ),
inference(avatar_split_clause,[],[f2101,f1633,f2108,f2104]) ).
fof(f2112,plain,
( ~ occurrence_of(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))),tptp0)
| spl21_101 ),
inference(resolution,[],[f2106,f198]) ).
fof(f2113,plain,
( $false
| ~ spl21_91
| spl21_101 ),
inference(forward_subsumption_resolution,[],[f2112,f1777]) ).
fof(f2114,plain,
( ~ spl21_91
| spl21_101 ),
inference(avatar_contradiction_clause,[],[f2113]) ).
fof(f2120,plain,
( subactivity_occurrence(sK12(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))))),sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))))
| ~ spl21_101 ),
inference(resolution,[],[f2105,f173]) ).
fof(f2168,definition,
( spl21_110
<=> sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))) = sK13(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))))) ),
introduced(definition,[new_symbols(definition,[spl21_110])],[avatar_definition]) ).
fof(f2169,plain,
( sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))) != sK13(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))))
| spl21_110 ),
inference(avatar_component_clause,[],[f2168]) ).
fof(f2170,plain,
( sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))) = sK13(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))))
| ~ spl21_110 ),
inference(avatar_component_clause,[],[f2168]) ).
fof(f2187,plain,
( next_subocc(sK12(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))))),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))),tptp0)
| ~ occurrence_of(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))),tptp0)
| ~ spl21_110 ),
inference(superposition,[],[f195,f2170]) ).
fof(f2205,plain,
( next_subocc(sK12(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))))),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))),tptp0)
| ~ spl21_91
| ~ spl21_110 ),
inference(forward_subsumption_resolution,[],[f2187,f1777]) ).
fof(f2207,plain,
( arboreal(sK12(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))))))
| ~ spl21_91
| ~ spl21_110 ),
inference(resolution,[],[f2205,f185]) ).
fof(f2248,plain,
( ! [X0] :
( sK17(tptp0,sK19,sK20) = sK12(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))))
| ~ occurrence_of(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))),X0)
| ~ arboreal(sK12(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))))))
| ~ arboreal(sK17(tptp0,sK19,sK20))
| min_precedes(sK17(tptp0,sK19,sK20),sK12(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))))),X0)
| min_precedes(sK12(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))))),sK17(tptp0,sK19,sK20),X0)
| ~ min_precedes(sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))),tptp0) )
| ~ spl21_101 ),
inference(resolution,[],[f2120,f265]) ).
fof(f2256,plain,
( ! [X0] :
( sK17(tptp0,sK19,sK20) = sK12(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))))
| ~ occurrence_of(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))),X0)
| ~ arboreal(sK17(tptp0,sK19,sK20))
| min_precedes(sK17(tptp0,sK19,sK20),sK12(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))))),X0)
| min_precedes(sK12(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))))),sK17(tptp0,sK19,sK20),X0)
| ~ min_precedes(sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))),tptp0) )
| ~ spl21_91
| ~ spl21_101
| ~ spl21_110 ),
inference(forward_subsumption_resolution,[],[f2248,f2207]) ).
fof(f2258,plain,
( ! [X0] :
( sK17(tptp0,sK19,sK20) = sK12(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))))
| ~ occurrence_of(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))),X0)
| min_precedes(sK17(tptp0,sK19,sK20),sK12(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))))),X0)
| min_precedes(sK12(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))))),sK17(tptp0,sK19,sK20),X0)
| ~ min_precedes(sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))),tptp0) )
| ~ spl21_12
| ~ spl21_91
| ~ spl21_101
| ~ spl21_110 ),
inference(forward_subsumption_resolution,[],[f2256,f472]) ).
fof(f2260,plain,
( ! [X0] :
( sK17(tptp0,sK19,sK20) = sK12(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))))
| ~ occurrence_of(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))),X0)
| min_precedes(sK17(tptp0,sK19,sK20),sK12(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))))),X0)
| min_precedes(sK12(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))))),sK17(tptp0,sK19,sK20),X0) )
| ~ spl21_12
| ~ spl21_87
| ~ spl21_91
| ~ spl21_101
| ~ spl21_110 ),
inference(forward_subsumption_resolution,[],[f2258,f1635]) ).
fof(f2270,definition,
( spl21_117
<=> ! [X0] :
( ~ occurrence_of(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))),X0)
| min_precedes(sK12(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))))),sK17(tptp0,sK19,sK20),X0)
| min_precedes(sK17(tptp0,sK19,sK20),sK12(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))))),X0) ) ),
introduced(definition,[new_symbols(definition,[spl21_117])],[avatar_definition]) ).
fof(f2271,plain,
( ! [X0] :
( min_precedes(sK12(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))))),sK17(tptp0,sK19,sK20),X0)
| ~ occurrence_of(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))),X0)
| min_precedes(sK17(tptp0,sK19,sK20),sK12(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))))),X0) )
| ~ spl21_117 ),
inference(avatar_component_clause,[],[f2270]) ).
fof(f2273,definition,
( spl21_118
<=> sK17(tptp0,sK19,sK20) = sK12(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))))) ),
introduced(definition,[new_symbols(definition,[spl21_118])],[avatar_definition]) ).
fof(f2275,plain,
( sK17(tptp0,sK19,sK20) = sK12(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))))
| ~ spl21_118 ),
inference(avatar_component_clause,[],[f2273]) ).
fof(f2276,plain,
( spl21_117
| spl21_118
| ~ spl21_12
| ~ spl21_87
| ~ spl21_91
| ~ spl21_101
| ~ spl21_110 ),
inference(avatar_split_clause,[],[f2260,f2168,f2104,f1775,f1633,f471,f2273,f2270]) ).
fof(f2370,plain,
( ~ occurrence_of(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))),tptp0)
| min_precedes(sK17(tptp0,sK19,sK20),sK12(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))))),tptp0)
| ~ min_precedes(sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))))),tptp0)
| ~ occurrence_of(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))),tptp0)
| ~ spl21_117 ),
inference(resolution,[],[f2271,f310]) ).
fof(f2380,plain,
( ~ occurrence_of(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))),tptp0)
| min_precedes(sK17(tptp0,sK19,sK20),sK12(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))))),tptp0)
| ~ min_precedes(sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))))),tptp0)
| ~ spl21_117 ),
inference(duplicate_literal_removal,[],[f2370]) ).
fof(f2385,plain,
( min_precedes(sK17(tptp0,sK19,sK20),sK12(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))))),tptp0)
| ~ min_precedes(sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))))),tptp0)
| ~ spl21_91
| ~ spl21_117 ),
inference(forward_subsumption_resolution,[],[f2380,f1777]) ).
fof(f2392,definition,
( spl21_124
<=> min_precedes(sK17(tptp0,sK19,sK20),sK12(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))))),tptp0) ),
introduced(definition,[new_symbols(definition,[spl21_124])],[avatar_definition]) ).
fof(f2394,plain,
( min_precedes(sK17(tptp0,sK19,sK20),sK12(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))))),tptp0)
| ~ spl21_124 ),
inference(avatar_component_clause,[],[f2392]) ).
fof(f2401,plain,
( ~ min_precedes(sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))),tptp0)
| min_precedes(sK17(tptp0,sK19,sK20),sK12(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))))),tptp0)
| ~ spl21_91
| ~ spl21_110
| ~ spl21_117 ),
inference(forward_demodulation,[],[f2385,f2170]) ).
fof(f2403,plain,
( min_precedes(sK17(tptp0,sK19,sK20),sK12(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))))),tptp0)
| ~ spl21_87
| ~ spl21_91
| ~ spl21_110
| ~ spl21_117 ),
inference(forward_subsumption_resolution,[],[f2401,f1635]) ).
fof(f2405,plain,
( spl21_124
| ~ spl21_87
| ~ spl21_91
| ~ spl21_110
| ~ spl21_117 ),
inference(avatar_split_clause,[],[f2403,f2270,f2168,f1775,f1633,f2392]) ).
fof(f2412,plain,
( ~ root(sK12(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))))),tptp0)
| ~ spl21_124 ),
inference(resolution,[],[f2394,f180]) ).
fof(f2415,plain,
( $false
| ~ spl21_102
| ~ spl21_124 ),
inference(forward_subsumption_resolution,[],[f2412,f2110]) ).
fof(f2416,plain,
( ~ spl21_102
| ~ spl21_124 ),
inference(avatar_contradiction_clause,[],[f2415]) ).
fof(f2429,definition,
( spl21_128
<=> min_precedes(sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))),sK13(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))))),tptp0) ),
introduced(definition,[new_symbols(definition,[spl21_128])],[avatar_definition]) ).
fof(f2430,plain,
( min_precedes(sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))),sK13(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))))),tptp0)
| ~ spl21_128 ),
inference(avatar_component_clause,[],[f2429]) ).
fof(f2431,plain,
( ~ min_precedes(sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))),sK13(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))))),tptp0)
| spl21_128 ),
inference(avatar_component_clause,[],[f2429]) ).
fof(f2487,plain,
( ~ subactivity_occurrence(sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))),sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))))
| sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))) = sK13(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))))
| ~ arboreal(sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))))
| ~ occurrence_of(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))),tptp0)
| ~ occurrence_of(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))),tptp0)
| spl21_128 ),
inference(resolution,[],[f2431,f260]) ).
fof(f2488,plain,
( ~ subactivity_occurrence(sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))),sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))))
| sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))) = sK13(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))))
| ~ arboreal(sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))))
| ~ occurrence_of(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))),tptp0)
| spl21_128 ),
inference(duplicate_literal_removal,[],[f2487]) ).
fof(f2489,plain,
( ~ subactivity_occurrence(sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))),sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))))
| ~ arboreal(sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))))
| ~ occurrence_of(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))),tptp0)
| spl21_110
| spl21_128 ),
inference(forward_subsumption_resolution,[],[f2488,f2169]) ).
fof(f2490,plain,
( ~ subactivity_occurrence(sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))),sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))))
| ~ occurrence_of(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))),tptp0)
| ~ spl21_5
| spl21_110
| spl21_128 ),
inference(forward_subsumption_resolution,[],[f2489,f432]) ).
fof(f2491,plain,
( ~ subactivity_occurrence(sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))),sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))))
| ~ spl21_5
| ~ spl21_91
| spl21_110
| spl21_128 ),
inference(forward_subsumption_resolution,[],[f2490,f1777]) ).
fof(f2492,plain,
( ~ min_precedes(sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))),tptp0)
| ~ spl21_5
| ~ spl21_91
| spl21_110
| spl21_128 ),
inference(resolution,[],[f2491,f147]) ).
fof(f2493,plain,
( $false
| ~ spl21_5
| ~ spl21_87
| ~ spl21_91
| spl21_110
| spl21_128 ),
inference(forward_subsumption_resolution,[],[f2492,f1635]) ).
fof(f2494,plain,
( ~ spl21_5
| ~ spl21_87
| ~ spl21_91
| spl21_110
| spl21_128 ),
inference(avatar_contradiction_clause,[],[f2493]) ).
fof(f2500,plain,
( ~ leaf(sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))),tptp0)
| ~ spl21_128 ),
inference(resolution,[],[f2430,f161]) ).
fof(f2504,plain,
( $false
| ~ spl21_21
| ~ spl21_128 ),
inference(forward_subsumption_resolution,[],[f2500,f544]) ).
fof(f2505,plain,
( ~ spl21_21
| ~ spl21_128 ),
inference(avatar_contradiction_clause,[],[f2504]) ).
fof(f2557,plain,
( root_occ(sK17(tptp0,sK19,sK20),sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))))
| ~ occurrence_of(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))),tptp0)
| ~ spl21_118 ),
inference(superposition,[],[f198,f2275]) ).
fof(f2570,plain,
( ~ occurrence_of(sK2(tptp0,sK17(tptp0,sK19,sK20),sK13(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))),tptp0)
| ~ spl21_11
| ~ spl21_118 ),
inference(forward_subsumption_resolution,[],[f2557,f600]) ).
fof(f2575,plain,
( $false
| ~ spl21_11
| ~ spl21_91
| ~ spl21_118 ),
inference(forward_subsumption_resolution,[],[f2570,f1777]) ).
fof(f2576,plain,
( ~ spl21_11
| ~ spl21_91
| ~ spl21_118 ),
inference(avatar_contradiction_clause,[],[f2575]) ).
fof(f2588,plain,
( spl21_92
| spl21_93
| ~ spl21_5
| ~ spl21_27 ),
inference(avatar_split_clause,[],[f1719,f581,f415,f1801,f1797]) ).
fof(f2762,plain,
( tptp2 = sK14(tptp0,sK19,sK20)
| ~ occurrence_of(sK20,sK18)
| ~ spl21_93 ),
inference(resolution,[],[f1803,f233]) ).
fof(f2767,plain,
( tptp2 = sK14(tptp0,sK19,sK20)
| ~ spl21_93 ),
inference(forward_subsumption_resolution,[],[f2762,f225]) ).
fof(f2772,plain,
( send_message(tptp2,sK15(tptp0,sK19,sK20),sK16(tptp0,sK19,sK20),sK19,tptp0)
| ~ occurrence_of(sK20,sK18)
| ~ spl21_93 ),
inference(superposition,[],[f230,f2767]) ).
fof(f2774,plain,
( ~ occurrence_of(sK20,sK18)
| ~ spl21_93 ),
inference(forward_subsumption_resolution,[],[f2772,f229]) ).
fof(f2777,plain,
( $false
| ~ spl21_93 ),
inference(forward_subsumption_resolution,[],[f2774,f225]) ).
fof(f2778,plain,
~ spl21_93,
inference(avatar_contradiction_clause,[],[f2777]) ).
fof(f2788,plain,
( tptp3 = sK14(tptp0,sK19,sK20)
| ~ occurrence_of(sK20,sK18)
| ~ spl21_92 ),
inference(resolution,[],[f1799,f233]) ).
fof(f2793,plain,
( tptp3 = sK14(tptp0,sK19,sK20)
| ~ spl21_92 ),
inference(forward_subsumption_resolution,[],[f2788,f225]) ).
fof(f2798,plain,
( send_message(tptp3,sK15(tptp0,sK19,sK20),sK16(tptp0,sK19,sK20),sK19,tptp0)
| ~ occurrence_of(sK20,sK18)
| ~ spl21_92 ),
inference(superposition,[],[f230,f2793]) ).
fof(f2800,plain,
( ~ occurrence_of(sK20,sK18)
| ~ spl21_92 ),
inference(forward_subsumption_resolution,[],[f2798,f228]) ).
fof(f2803,plain,
( $false
| ~ spl21_92 ),
inference(forward_subsumption_resolution,[],[f2800,f225]) ).
fof(f2804,plain,
~ spl21_92,
inference(avatar_contradiction_clause,[],[f2803]) ).
cnf(s7,plain,
spl21_5,
inference(sat_conversion,[],[f429]) ).
cnf(s14,plain,
( ~ spl21_20
| spl21_21 ),
inference(sat_conversion,[],[f545]) ).
cnf(s15,plain,
( ~ spl21_5
| spl21_20 ),
inference(sat_conversion,[],[f548]) ).
cnf(s20,plain,
spl21_11,
inference(sat_conversion,[],[f595]) ).
cnf(s83,plain,
spl21_12,
inference(sat_conversion,[],[f1616]) ).
cnf(s92,plain,
( ~ spl21_87
| spl21_91 ),
inference(sat_conversion,[],[f1783]) ).
cnf(s93,plain,
( ~ spl21_5
| ~ spl21_11
| ~ spl21_12
| ~ spl21_20
| spl21_27
| spl21_87 ),
inference(sat_conversion,[],[f1795]) ).
cnf(s105,plain,
( ~ spl21_87
| ~ spl21_101
| spl21_102 ),
inference(sat_conversion,[],[f2111]) ).
cnf(s106,plain,
( ~ spl21_91
| spl21_101 ),
inference(sat_conversion,[],[f2114]) ).
cnf(s114,plain,
( ~ spl21_12
| ~ spl21_87
| ~ spl21_91
| ~ spl21_101
| ~ spl21_110
| spl21_117
| spl21_118 ),
inference(sat_conversion,[],[f2276]) ).
cnf(s121,plain,
( ~ spl21_87
| ~ spl21_91
| ~ spl21_110
| ~ spl21_117
| spl21_124 ),
inference(sat_conversion,[],[f2405]) ).
cnf(s122,plain,
( ~ spl21_102
| ~ spl21_124 ),
inference(sat_conversion,[],[f2416]) ).
cnf(s135,plain,
( ~ spl21_5
| ~ spl21_87
| ~ spl21_91
| spl21_110
| spl21_128 ),
inference(sat_conversion,[],[f2494]) ).
cnf(s136,plain,
( ~ spl21_21
| ~ spl21_128 ),
inference(sat_conversion,[],[f2505]) ).
cnf(s139,plain,
( ~ spl21_11
| ~ spl21_91
| ~ spl21_118 ),
inference(sat_conversion,[],[f2576]) ).
cnf(s144,plain,
( ~ spl21_5
| ~ spl21_27
| spl21_92
| spl21_93 ),
inference(sat_conversion,[],[f2588]) ).
cnf(s152,plain,
~ spl21_93,
inference(sat_conversion,[],[f2778]) ).
cnf(s155,plain,
~ spl21_92,
inference(sat_conversion,[],[f2804]) ).
cnf(s156,plain,
( ~ spl21_5
| ~ spl21_27 ),
inference(rat,[],[s144,s152,s155]) ).
cnf(s163,plain,
~ spl21_27,
inference(rat,[],[s156,s7]) ).
cnf(s165,plain,
spl21_20,
inference(rat,[],[s15,s7]) ).
cnf(s167,plain,
spl21_87,
inference(rat,[],[s93,s7,s163,s20,s83,s165]) ).
cnf(s170,plain,
spl21_21,
inference(rat,[],[s14,s165]) ).
cnf(s171,plain,
spl21_91,
inference(rat,[],[s92,s167]) ).
cnf(s172,plain,
~ spl21_128,
inference(rat,[],[s136,s170]) ).
cnf(s175,plain,
~ spl21_118,
inference(rat,[],[s139,s20,s171]) ).
cnf(s176,plain,
spl21_101,
inference(rat,[],[s106,s171]) ).
cnf(s178,plain,
spl21_110,
inference(rat,[],[s135,s172,s167,s7,s171]) ).
cnf(s179,plain,
spl21_102,
inference(rat,[],[s105,s167,s176]) ).
cnf(s182,plain,
spl21_117,
inference(rat,[],[s114,s175,s176,s171,s167,s83,s178]) ).
cnf(s183,plain,
~ spl21_124,
inference(rat,[],[s122,s179]) ).
cnf(s186,plain,
$false,
inference(rat,[],[s121,s178,s171,s167,s183,s182]) ).
fof(f2805,plain,
$false,
inference(avatar_sat_refutation,[],[s186]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO002+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n019.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 22:16:19 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.60/2.34 % (3465002)Detected formulas, will run a generic FOF schedule.
% 9.60/2.34 % (3465020)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1081042224:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.60/2.34 % (3465015)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=2712918172:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.60/2.34 % (3465017)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=1462461860:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.60/2.34 % (3465018)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3708849103:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.60/2.34 % (3465016)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=1333522011:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.60/2.34 % (3465018)Refutation not found, incomplete strategy
% 9.60/2.34 % (3465018)------------------------------
% 9.60/2.34 % (3465018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.60/2.34 % (3465018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.60/2.34 % (3465018)CaDiCaL version: 2.1.3
% 9.60/2.34 % (3465018)Termination reason: Refutation not found, incomplete strategy
% 9.60/2.34 % (3465018)Time elapsed: 0.002 s
% 9.60/2.34 % (3465018)Peak memory usage: 88 MB
% 9.60/2.34 % (3465019)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1749005919:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.60/2.34 % (3465021)dis-21_1_sil=8000:lcm=predicate:random_seed=3060260019: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)
% 9.60/2.34 % (3465020)Instruction limit reached!
% 9.60/2.34 % (3465020)------------------------------
% 9.60/2.34 % (3465020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.60/2.34 % (3465020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.60/2.34 % (3465020)CaDiCaL version: 2.1.3
% 9.60/2.34 % (3465020)Termination reason: Instruction limit
% 9.60/2.34 % (3465020)Termination phase: Saturation
% 9.60/2.34 % (3465020)Time elapsed: 0.131 s
% 9.60/2.34 % (3465020)Peak memory usage: 90 MB
% 9.60/2.34 % (3465020)Instructions burned: 139 (million)
% 9.60/2.34 % (3465019)Instruction limit reached!
% 9.60/2.34 % (3465019)------------------------------
% 9.60/2.34 % (3465019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.60/2.34 % (3465019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.60/2.34 % (3465019)CaDiCaL version: 2.1.3
% 9.60/2.34 % (3465019)Termination reason: Instruction limit
% 9.60/2.34 % (3465019)Termination phase: Saturation
% 9.60/2.34 % (3465019)Time elapsed: 0.085 s
% 9.60/2.34 % (3465019)Peak memory usage: 88 MB
% 9.60/2.34 % (3465019)Instructions burned: 120 (million)
% 9.60/2.34 % (3465021)Instruction limit reached!
% 9.60/2.34 % (3465021)------------------------------
% 9.60/2.34 % (3465021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.60/2.34 % (3465021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.60/2.34 % (3465021)CaDiCaL version: 2.1.3
% 9.60/2.34 % (3465021)Termination reason: Instruction limit
% 9.60/2.34 % (3465021)Termination phase: Saturation
% 9.60/2.34 % (3465021)Time elapsed: 0.127 s
% 9.60/2.34 % (3465021)Peak memory usage: 89 MB
% 9.60/2.34 % (3465021)Instructions burned: 130 (million)
% 9.60/2.34 % (3465034)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2201512621:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 9.60/2.34 % (3465034)Refutation not found, incomplete strategy
% 9.60/2.34 % (3465034)------------------------------
% 9.60/2.34 % (3465034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.60/2.34 % (3465034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.60/2.34 % (3465034)CaDiCaL version: 2.1.3
% 9.60/2.34 % (3465034)Termination reason: Refutation not found, incomplete strategy
% 9.60/2.34 % (3465034)Time elapsed: 0.002 s
% 9.60/2.34 % (3465034)Peak memory usage: 88 MB
% 9.60/2.34 % (3465034)Instructions burned: 1 (million)
% 9.60/2.34 % (3465031)lrs+10_1_sil=8000:sp=occurrence:random_seed=28907279:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 9.60/2.34 % (3465035)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1937785391:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 9.60/2.34 % (3465018)------------------------------
% 9.60/2.34 % (3465018)------------------------------
% 9.60/2.34 % (3465031)Instruction limit reached!
% 9.60/2.34 % (3465031)------------------------------
% 9.60/2.34 % (3465031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.60/2.34 % (3465031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.60/2.34 % (3465031)CaDiCaL version: 2.1.3
% 9.60/2.34 % (3465031)Termination reason: Instruction limit
% 9.60/2.34 % (3465031)Termination phase: Saturation
% 9.60/2.34 % (3465031)Time elapsed: 0.269 s
% 9.60/2.34 % (3465031)Peak memory usage: 91 MB
% 9.60/2.34 % (3465031)Instructions burned: 285 (million)
% 9.60/2.34 % (3465041)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=4019395075:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 9.60/2.34 % (3465034)------------------------------
% 9.60/2.34 % (3465034)------------------------------
% 9.60/2.34 % (3465035)Instruction limit reached!
% 9.60/2.34 % (3465035)------------------------------
% 9.60/2.34 % (3465035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.60/2.34 % (3465035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.60/2.34 % (3465035)CaDiCaL version: 2.1.3
% 9.60/2.34 % (3465035)Termination reason: Instruction limit
% 9.60/2.34 % (3465035)Termination phase: Saturation
% 9.60/2.34 % (3465035)Time elapsed: 0.300 s
% 9.60/2.34 % (3465035)Peak memory usage: 90 MB
% 9.60/2.34 % (3465035)Instructions burned: 326 (million)
% 9.60/2.34 % (3465046)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1157435325:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 9.60/2.34 % (3465048)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3237859160:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 9.60/2.34 % (3465041)Instruction limit reached!
% 9.60/2.34 % (3465041)------------------------------
% 9.60/2.34 % (3465041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.60/2.34 % (3465041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.60/2.34 % (3465041)CaDiCaL version: 2.1.3
% 9.60/2.34 % (3465041)Termination reason: Instruction limit
% 9.60/2.34 % (3465041)Termination phase: Saturation
% 9.60/2.34 % (3465041)Time elapsed: 0.233 s
% 9.60/2.34 % (3465041)Peak memory usage: 89 MB
% 9.60/2.34 % (3465041)Instructions burned: 249 (million)
% 9.60/2.34 % (3465049)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2134644265:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 9.60/2.34 % (3465015)First to succeed.
% 9.60/2.34 % (3465015)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3465002"
% 9.60/2.34 % (3465046)Instruction limit reached!
% 9.60/2.34 % (3465046)------------------------------
% 9.60/2.34 % (3465046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.60/2.34 % (3465046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.60/2.34 % (3465046)CaDiCaL version: 2.1.3
% 9.60/2.34 % (3465046)Termination reason: Instruction limit
% 9.60/2.34 % (3465046)Termination phase: Saturation
% 9.60/2.34 % (3465046)Time elapsed: 0.252 s
% 9.60/2.34 % (3465046)Peak memory usage: 88 MB
% 9.60/2.34 % (3465046)Instructions burned: 294 (million)
% 9.60/2.34 % (3465052)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1082892072:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 9.60/2.34 % (3465049)Instruction limit reached!
% 9.60/2.34 % (3465049)------------------------------
% 9.60/2.34 % (3465049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.60/2.34 % (3465049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.60/2.34 % (3465049)CaDiCaL version: 2.1.3
% 9.60/2.34 % (3465049)Termination reason: Instruction limit
% 9.60/2.34 % (3465049)Termination phase: Saturation
% 9.60/2.34 % (3465049)Time elapsed: 0.133 s
% 9.60/2.34 % (3465049)Peak memory usage: 90 MB
% 9.60/2.34 % (3465049)Instructions burned: 113 (million)
% 9.60/2.34 % (3465052)Instruction limit reached!
% 9.60/2.34 % (3465052)------------------------------
% 9.60/2.34 % (3465052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.60/2.34 % (3465052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.60/2.34 % (3465052)CaDiCaL version: 2.1.3
% 9.60/2.34 % (3465052)Termination reason: Instruction limit
% 9.60/2.34 % (3465052)Termination phase: Saturation
% 9.60/2.34 % (3465052)Time elapsed: 0.115 s
% 9.60/2.34 % (3465052)Peak memory usage: 89 MB
% 9.60/2.34 % (3465052)Instructions burned: 127 (million)
% 9.60/2.34 % (3465015)Refutation found. Thanks to Tanya!
% 9.60/2.34 % SZS status Theorem for theBenchmark
% 9.60/2.34 % SZS output start Proof for theBenchmark
% See solution above
% 10.56/2.64 % (3465015)------------------------------
% 10.56/2.64 % (3465015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.56/2.64 % (3465015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.56/2.64 % (3465015)CaDiCaL version: 2.1.3
% 10.56/2.64 % (3465015)Termination reason: Refutation
% 10.56/2.64 % (3465015)Time elapsed: 0.987 s
% 10.56/2.64 % (3465015)Peak memory usage: 132 MB
% 10.56/2.64 % (3465015)Instructions burned: 1337 (million)
% 10.56/2.64 % (3465015)------------------------------
% 10.56/2.64 % (3465015)------------------------------
% 10.56/2.64 % (3465002)Success in time 1.389 s
% 10.56/2.64 % Vampire exiting
%------------------------------------------------------------------------------