%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PRO002+2 : 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 : 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 12:30:20 PM UTC 2026
% Result : Theorem 15.30s 3.38s
% Output : Refutation 16.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 40
% Syntax : Number of formulae : 310 ( 32 unt; 19 def)
% Number of atoms : 982 ( 69 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 1158 ( 486 ~; 500 |; 129 &)
% ( 28 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 37 ( 35 usr; 20 prp; 0-5 aty)
% Number of functors : 24 ( 24 usr; 7 con; 0-3 aty)
% Number of variables : 443 ( 0 sgn 386 !; 57 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,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_04) ).
fof(f6,axiom,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
=> ( arboreal(X0)
& arboreal(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_05) ).
fof(f8,axiom,
! [X0,X1,X2] :
( min_precedes(X0,X1,X2)
=> ~ root(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07) ).
fof(f11,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_10) ).
fof(f12,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_11) ).
fof(f14,axiom,
! [X0,X1] :
( occurrence_of(X0,X1)
=> ( arboreal(X0)
<=> atomic(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_13) ).
fof(f15,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_14) ).
fof(f16,axiom,
! [X0,X1] :
( atocc(X0,X1)
<=> ? [X2] :
( subactivity(X1,X2)
& atomic(X2)
& occurrence_of(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_15) ).
fof(f19,axiom,
! [X0] :
( activity_occurrence(X0)
=> ? [X1] :
( activity(X1)
& occurrence_of(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_18) ).
fof(f23,axiom,
! [X0,X1,X2] :
( ( occurrence_of(X0,X1)
& occurrence_of(X0,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_22) ).
fof(f25,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_24) ).
fof(f27,axiom,
! [X0,X1,X2] :
( min_precedes(X1,X2,X0)
=> ? [X3,X4] :
( subactivity(X3,X0)
& subactivity(X4,X0)
& atocc(X1,X3)
& atocc(X2,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_26) ).
fof(f28,axiom,
! [X0,X1] :
( root(X1,X0)
=> ? [X2] :
( subactivity(X2,X0)
& atocc(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_27) ).
fof(f29,axiom,
! [X0,X1,X2,X3] :
( ( occurrence_of(X1,X0)
& arboreal(X2)
& arboreal(X3)
& subactivity_occurrence(X2,X1)
& subactivity_occurrence(X3,X1) )
=> ( min_precedes(X2,X3,X0)
| min_precedes(X3,X2,X0)
| X2 = X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_28) ).
fof(f30,axiom,
! [X0,X1] :
( occurrence_of(X1,X0)
=> ( activity(X0)
& activity_occurrence(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_29) ).
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(f49,axiom,
! [X0,X1,X2] :
( tptp1(X0,X1,X2)
=> ( activity(X0)
& ~ atomic(X0)
& ~ atomic(X1)
& root(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_48) ).
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(f64,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,[],[f5]) ).
fof(f65,plain,
! [X0,X1,X2] :
( ( arboreal(X0)
& arboreal(X1) )
| ~ next_subocc(X0,X1,X2) ),
inference(ennf_transformation,[],[f6]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ~ root(X1,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(ennf_transformation,[],[f8]) ).
fof(f71,plain,
! [X0,X1] :
( ( arboreal(X0)
<=> atomic(X1) )
| ~ occurrence_of(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f72,plain,
! [X0,X1] :
( leaf(X0,X1)
<=> ( ( root(X0,X1)
| ? [X2] : min_precedes(X2,X0,X1) )
& ! [X3] : ~ min_precedes(X0,X3,X1) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f76,plain,
! [X0] :
( ? [X1] :
( activity(X1)
& occurrence_of(X0,X1) )
| ~ activity_occurrence(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f82,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f83,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2) ),
inference(flattening,[],[f82]) ).
fof(f86,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,[],[f25]) ).
fof(f89,plain,
! [X0,X1,X2] :
( ? [X3,X4] :
( subactivity(X3,X0)
& subactivity(X4,X0)
& atocc(X1,X3)
& atocc(X2,X4) )
| ~ min_precedes(X1,X2,X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f90,plain,
! [X0,X1] :
( ? [X2] :
( subactivity(X2,X0)
& atocc(X1,X2) )
| ~ root(X1,X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f91,plain,
! [X0,X1,X2,X3] :
( min_precedes(X2,X3,X0)
| min_precedes(X3,X2,X0)
| X2 = X3
| ~ occurrence_of(X1,X0)
| ~ arboreal(X2)
| ~ arboreal(X3)
| ~ subactivity_occurrence(X2,X1)
| ~ subactivity_occurrence(X3,X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f92,plain,
! [X0,X1,X2,X3] :
( min_precedes(X2,X3,X0)
| min_precedes(X3,X2,X0)
| X2 = X3
| ~ occurrence_of(X1,X0)
| ~ arboreal(X2)
| ~ arboreal(X3)
| ~ subactivity_occurrence(X2,X1)
| ~ subactivity_occurrence(X3,X1) ),
inference(flattening,[],[f91]) ).
fof(f93,plain,
! [X0,X1] :
( ( activity(X0)
& activity_occurrence(X1) )
| ~ occurrence_of(X1,X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f97,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(f99,plain,
! [X0,X1,X2,X3,X4] :
( ( X0 != tptp4
& X0 != tptp3
& X0 != tptp2 )
| ~ send_message(X0,X1,X2,X3,X4) ),
inference(ennf_transformation,[],[f47]) ).
fof(f100,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(f101,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,[],[f100]) ).
fof(f102,plain,
! [X0,X1,X2] :
( ( activity(X0)
& ~ atomic(X0)
& ~ atomic(X1)
& root(X2,X1) )
| ~ tptp1(X0,X1,X2) ),
inference(ennf_transformation,[],[f49]) ).
fof(f103,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(f104,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,[],[f103]) ).
fof(f105,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,[],[f64]) ).
fof(f106,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,[],[f105]) ).
fof(f107,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,[],[f106]) ).
fof(f108,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ~ min_precedes(X0,X1,X2)
| ( min_precedes(X0,sK0(X0,X1,X2),X2)
& min_precedes(sK0(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,[sK0]),skolemize(X3,sK0(X0,X1,X2))],[f107]) ).
fof(f109,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,[],[f11]) ).
fof(f110,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,[],[f109]) ).
fof(f111,plain,
! [X0,X1] :
( ( root_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ root(X0,X2) ) )
& ( ( occurrence_of(X1,sK1(X0,X1))
& subactivity_occurrence(X0,X1)
& root(X0,sK1(X0,X1)) )
| ~ root_occ(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1))],[f110]) ).
fof(f112,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,[],[f12]) ).
fof(f113,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,[],[f112]) ).
fof(f114,plain,
! [X0,X1] :
( ( leaf_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ leaf(X0,X2) ) )
& ( ( occurrence_of(X1,sK2(X0,X1))
& subactivity_occurrence(X0,X1)
& leaf(X0,sK2(X0,X1)) )
| ~ leaf_occ(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X3,sK2(X0,X1))],[f113]) ).
fof(f115,plain,
! [X0,X1] :
( ( ( arboreal(X0)
| ~ atomic(X1) )
& ( atomic(X1)
| ~ arboreal(X0) ) )
| ~ occurrence_of(X0,X1) ),
inference(nnf_transformation,[],[f71]) ).
fof(f116,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,[],[f72]) ).
fof(f117,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,[],[f116]) ).
fof(f118,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,[],[f117]) ).
fof(f119,plain,
! [X0,X1] :
( ( leaf(X0,X1)
| ( ~ root(X0,X1)
& ! [X2] : ~ min_precedes(X2,X0,X1) )
| min_precedes(X0,sK3(X0,X1),X1) )
& ( ( ( root(X0,X1)
| min_precedes(sK4(X0,X1),X0,X1) )
& ! [X5] : ~ min_precedes(X0,X5,X1) )
| ~ leaf(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4]),skolemize(X3,sK3(X0,X1)),skolemize(X4,sK4(X0,X1))],[f118]) ).
fof(f120,plain,
! [X0,X1] :
( ( atocc(X0,X1)
| ! [X2] :
( ~ subactivity(X1,X2)
| ~ atomic(X2)
| ~ occurrence_of(X0,X2) ) )
& ( ? [X2] :
( subactivity(X1,X2)
& atomic(X2)
& occurrence_of(X0,X2) )
| ~ atocc(X0,X1) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f121,plain,
! [X0,X1] :
( ( atocc(X0,X1)
| ! [X2] :
( ~ subactivity(X1,X2)
| ~ atomic(X2)
| ~ occurrence_of(X0,X2) ) )
& ( ? [X3] :
( subactivity(X1,X3)
& atomic(X3)
& occurrence_of(X0,X3) )
| ~ atocc(X0,X1) ) ),
inference(rectify,[],[f120]) ).
fof(f122,plain,
! [X0,X1] :
( ( atocc(X0,X1)
| ! [X2] :
( ~ subactivity(X1,X2)
| ~ atomic(X2)
| ~ occurrence_of(X0,X2) ) )
& ( ( subactivity(X1,sK5(X0,X1))
& atomic(sK5(X0,X1))
& occurrence_of(X0,sK5(X0,X1)) )
| ~ atocc(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X3,sK5(X0,X1))],[f121]) ).
fof(f123,plain,
! [X0] :
( ( activity(sK6(X0))
& occurrence_of(X0,sK6(X0)) )
| ~ activity_occurrence(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X1,sK6(X0))],[f76]) ).
fof(f125,plain,
! [X0,X1,X2] :
( ( occurrence_of(sK8(X0,X1,X2),X0)
& subactivity_occurrence(X1,sK8(X0,X1,X2))
& subactivity_occurrence(X2,sK8(X0,X1,X2)) )
| ~ min_precedes(X1,X2,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X3,sK8(X0,X1,X2))],[f86]) ).
fof(f127,plain,
! [X0,X1,X2] :
( ( subactivity(sK10(X0,X1,X2),X0)
& subactivity(sK11(X0,X1,X2),X0)
& atocc(X1,sK10(X0,X1,X2))
& atocc(X2,sK11(X0,X1,X2)) )
| ~ min_precedes(X1,X2,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11]),skolemize(X3,sK10(X0,X1,X2)),skolemize(X4,sK11(X0,X1,X2))],[f89]) ).
fof(f128,plain,
! [X0,X1] :
( ( subactivity(sK12(X0,X1),X0)
& atocc(X1,sK12(X0,X1)) )
| ~ root(X1,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f90]) ).
fof(f130,plain,
! [X0] :
( ( occurrence_of(sK14(X0),tptp4)
& root_occ(sK14(X0),X0)
& ( occurrence_of(sK15(X0),tptp3)
| occurrence_of(sK15(X0),tptp2) )
& leaf_occ(sK15(X0),X0)
& next_subocc(sK14(X0),sK15(X0),tptp0) )
| ~ occurrence_of(X0,tptp0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15]),skolemize(X1,sK14(X0)),skolemize(X2,sK15(X0))],[f97]) ).
fof(f131,plain,
! [X0,X1,X2,X3] :
( ( send_message(sK16(X1,X2,X3),sK17(X1,X2,X3),sK18(X1,X2,X3),X2,X1)
& occurrence_of(sK19(X1,X2,X3),sK16(X1,X2,X3))
& root_occ(sK19(X1,X2,X3),X3) )
| ~ tptp1(X0,X1,X2)
| ~ occurrence_of(X3,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17,sK18,sK19]),skolemize(X4,sK16(X1,X2,X3)),skolemize(X5,sK17(X1,X2,X3)),skolemize(X6,sK18(X1,X2,X3)),skolemize(X7,sK19(X1,X2,X3))],[f104]) ).
fof(f132,plain,
( tptp1(sK20,tptp0,sK21)
& occurrence_of(sK22,sK20) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22)],[f54]) ).
fof(f137,plain,
! [X2,X0,X1,X4] :
( ~ next_subocc(X0,X1,X2)
| ~ min_precedes(X4,X1,X2)
| ~ min_precedes(X0,X4,X2) ),
inference(cnf_transformation,[],[f108]) ).
fof(f141,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| arboreal(X1) ),
inference(cnf_transformation,[],[f65]) ).
fof(f144,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| ~ root(X1,X2) ),
inference(cnf_transformation,[],[f67]) ).
fof(f148,plain,
! [X0,X1] :
( root(X0,sK1(X0,X1))
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f149,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f150,plain,
! [X0,X1] :
( occurrence_of(X1,sK1(X0,X1))
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f152,plain,
! [X0,X1] :
( leaf(X0,sK2(X0,X1))
| ~ leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f153,plain,
! [X0,X1] :
( ~ leaf_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f154,plain,
! [X0,X1] :
( occurrence_of(X1,sK2(X0,X1))
| ~ leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f158,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ~ atomic(X1)
| arboreal(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f159,plain,
! [X0,X1,X5] :
( ~ min_precedes(X0,X5,X1)
| ~ leaf(X0,X1) ),
inference(cnf_transformation,[],[f119]) ).
fof(f163,plain,
! [X0,X1] :
( occurrence_of(X0,sK5(X0,X1))
| ~ atocc(X0,X1) ),
inference(cnf_transformation,[],[f122]) ).
fof(f164,plain,
! [X0,X1] :
( atomic(sK5(X0,X1))
| ~ atocc(X0,X1) ),
inference(cnf_transformation,[],[f122]) ).
fof(f169,plain,
! [X0] :
( occurrence_of(X0,sK6(X0))
| ~ activity_occurrence(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f175,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f83]) ).
fof(f178,plain,
! [X2,X0,X1] :
( subactivity_occurrence(X2,sK8(X0,X1,X2))
| ~ min_precedes(X1,X2,X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f179,plain,
! [X2,X0,X1] :
( subactivity_occurrence(X1,sK8(X0,X1,X2))
| ~ min_precedes(X1,X2,X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f180,plain,
! [X2,X0,X1] :
( occurrence_of(sK8(X0,X1,X2),X0)
| ~ min_precedes(X1,X2,X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f183,plain,
! [X2,X0,X1] :
( atocc(X2,sK11(X0,X1,X2))
| ~ min_precedes(X1,X2,X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f184,plain,
! [X2,X0,X1] :
( atocc(X1,sK10(X0,X1,X2))
| ~ min_precedes(X1,X2,X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f187,plain,
! [X0,X1] :
( atocc(X1,sK12(X0,X1))
| ~ root(X1,X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f189,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,[],[f92]) ).
fof(f190,plain,
! [X0,X1] :
( ~ occurrence_of(X1,X0)
| activity_occurrence(X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f195,plain,
! [X0] :
( next_subocc(sK14(X0),sK15(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f196,plain,
! [X0] :
( leaf_occ(sK15(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f197,plain,
! [X0] :
( occurrence_of(sK15(X0),tptp2)
| occurrence_of(sK15(X0),tptp3)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f198,plain,
! [X0] :
( root_occ(sK14(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f216,plain,
! [X2,X3,X0,X1,X4] :
( tptp2 != X0
| ~ send_message(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f99]) ).
fof(f217,plain,
! [X2,X3,X0,X1,X4] :
( tptp3 != X0
| ~ send_message(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f99]) ).
fof(f219,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,[],[f101]) ).
fof(f220,plain,
! [X2,X0,X1] :
( ~ tptp1(X0,X1,X2)
| root(X2,X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f225,plain,
! [X2,X3,X0,X1] :
( ~ tptp1(X0,X1,X2)
| occurrence_of(sK19(X1,X2,X3),sK16(X1,X2,X3))
| ~ occurrence_of(X3,X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f226,plain,
! [X2,X3,X0,X1] :
( ~ tptp1(X0,X1,X2)
| send_message(sK16(X1,X2,X3),sK17(X1,X2,X3),sK18(X1,X2,X3),X2,X1)
| ~ occurrence_of(X3,X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f228,plain,
occurrence_of(sK22,sK20),
inference(cnf_transformation,[],[f132]) ).
fof(f229,plain,
tptp1(sK20,tptp0,sK21),
inference(cnf_transformation,[],[f132]) ).
fof(f231,plain,
! [X2,X3,X1,X4] : ~ send_message(tptp3,X1,X2,X3,X4),
inference(equality_resolution,[],[f217]) ).
fof(f232,plain,
! [X2,X3,X1,X4] : ~ send_message(tptp2,X1,X2,X3,X4),
inference(equality_resolution,[],[f216]) ).
fof(f233,plain,
! [X0] :
( send_message(sK16(tptp0,sK21,X0),sK17(tptp0,sK21,X0),sK18(tptp0,sK21,X0),sK21,tptp0)
| ~ occurrence_of(X0,sK20) ),
inference(resolution,[],[f226,f229]) ).
fof(f234,plain,
! [X0] :
( occurrence_of(sK19(tptp0,sK21,X0),sK16(tptp0,sK21,X0))
| ~ occurrence_of(X0,sK20) ),
inference(resolution,[],[f225,f229]) ).
fof(f236,plain,
! [X0,X1] :
( ~ occurrence_of(sK19(tptp0,sK21,X0),X1)
| sK16(tptp0,sK21,X0) = X1
| ~ occurrence_of(X0,sK20) ),
inference(resolution,[],[f175,f234]) ).
fof(f240,plain,
! [X0,X1] :
( ~ occurrence_of(X0,sK16(tptp0,sK21,X1))
| min_precedes(sK21,X0,tptp0)
| ~ occurrence_of(X1,sK20) ),
inference(resolution,[],[f219,f233]) ).
fof(f241,plain,
! [X0] :
( min_precedes(sK21,sK19(tptp0,sK21,X0),tptp0)
| ~ occurrence_of(X0,sK20)
| ~ occurrence_of(X0,sK20) ),
inference(resolution,[],[f240,f234]) ).
fof(f242,plain,
! [X0] :
( min_precedes(sK21,sK19(tptp0,sK21,X0),tptp0)
| ~ occurrence_of(X0,sK20) ),
inference(duplicate_literal_removal,[],[f241]) ).
fof(f257,plain,
! [X2,X3,X0,X1,X4] :
( ~ subactivity_occurrence(X3,sK8(X2,X0,X1))
| min_precedes(X1,X3,X4)
| X1 = X3
| ~ occurrence_of(sK8(X2,X0,X1),X4)
| ~ arboreal(X3)
| ~ arboreal(X1)
| ~ min_precedes(X0,X1,X2)
| min_precedes(X3,X1,X4) ),
inference(resolution,[],[f178,f189]) ).
fof(f258,plain,
! [X2,X3,X0,X1,X4] :
( ~ subactivity_occurrence(X3,sK8(X2,X0,X1))
| min_precedes(X0,X3,X4)
| X0 = X3
| ~ occurrence_of(sK8(X2,X0,X1),X4)
| ~ arboreal(X3)
| ~ arboreal(X0)
| ~ min_precedes(X0,X1,X2)
| min_precedes(X3,X0,X4) ),
inference(resolution,[],[f179,f189]) ).
fof(f271,plain,
root(sK21,tptp0),
inference(resolution,[],[f220,f229]) ).
fof(f303,plain,
! [X0,X1] :
( ~ min_precedes(sK14(X1),X0,tptp0)
| ~ min_precedes(X0,sK15(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(resolution,[],[f137,f195]) ).
fof(f323,plain,
! [X2,X3,X0,X1] :
( ~ occurrence_of(sK8(X2,X0,X1),X3)
| ~ min_precedes(X0,X1,X2)
| X2 = X3 ),
inference(resolution,[],[f180,f175]) ).
fof(f344,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| arboreal(sK15(X0)) ),
inference(resolution,[],[f141,f195]) ).
fof(f345,plain,
! [X0,X1] :
( arboreal(sK15(sK8(tptp0,X0,X1)))
| ~ min_precedes(X0,X1,tptp0) ),
inference(resolution,[],[f344,f180]) ).
fof(f348,plain,
! [X2,X0,X1] :
( activity_occurrence(sK8(X0,X1,X2))
| ~ min_precedes(X1,X2,X0) ),
inference(resolution,[],[f190,f180]) ).
fof(f351,plain,
! [X0] :
( activity_occurrence(sK19(tptp0,sK21,X0))
| ~ occurrence_of(X0,sK20) ),
inference(resolution,[],[f190,f234]) ).
fof(f440,plain,
! [X2,X3,X0,X1] :
( ~ root_occ(X3,sK8(X2,X0,X1))
| sK1(X3,sK8(X2,X0,X1)) = X2
| ~ min_precedes(X0,X1,X2) ),
inference(resolution,[],[f323,f150]) ).
fof(f444,plain,
! [X2,X0,X1] :
( ~ occurrence_of(sK8(X0,X1,X2),tptp0)
| ~ min_precedes(X1,X2,X0)
| sK1(sK14(sK8(X0,X1,X2)),sK8(X0,X1,X2)) = X0 ),
inference(resolution,[],[f440,f198]) ).
fof(f492,plain,
! [X0,X1] :
( ~ atocc(X0,X1)
| ~ atomic(sK5(X0,X1))
| arboreal(X0) ),
inference(resolution,[],[f163,f158]) ).
fof(f499,plain,
! [X0,X1] :
( ~ atocc(X0,X1)
| arboreal(X0) ),
inference(forward_subsumption_resolution,[],[f492,f164]) ).
fof(f500,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X0,X2)
| arboreal(X0) ),
inference(resolution,[],[f499,f183]) ).
fof(f501,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| arboreal(X0) ),
inference(resolution,[],[f499,f184]) ).
fof(f612,plain,
! [X0,X1] :
( ~ root(X0,X1)
| arboreal(X0) ),
inference(resolution,[],[f187,f499]) ).
fof(f637,plain,
! [X0,X1] :
( ~ activity_occurrence(X0)
| ~ occurrence_of(X0,X1)
| sK6(X0) = X1 ),
inference(resolution,[],[f169,f175]) ).
fof(f639,plain,
! [X2,X0,X1] :
( ~ activity_occurrence(sK8(X0,X1,X2))
| ~ min_precedes(X1,X2,X0)
| sK6(sK8(X0,X1,X2)) = X0 ),
inference(resolution,[],[f169,f323]) ).
fof(f641,plain,
! [X0] :
( ~ activity_occurrence(sK19(tptp0,sK21,X0))
| sK16(tptp0,sK21,X0) = sK6(sK19(tptp0,sK21,X0))
| ~ occurrence_of(X0,sK20) ),
inference(resolution,[],[f169,f236]) ).
fof(f646,plain,
! [X0] :
( ~ occurrence_of(X0,sK20)
| sK16(tptp0,sK21,X0) = sK6(sK19(tptp0,sK21,X0)) ),
inference(forward_subsumption_resolution,[],[f641,f351]) ).
fof(f647,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| sK6(sK8(X0,X1,X2)) = X0 ),
inference(forward_subsumption_resolution,[],[f639,f348]) ).
fof(f649,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| sK6(X0) = X1 ),
inference(forward_subsumption_resolution,[],[f637,f190]) ).
fof(f654,plain,
! [X0,X1] :
( ~ leaf_occ(X1,X0)
| sK6(X0) = sK2(X1,X0) ),
inference(resolution,[],[f649,f154]) ).
fof(f659,plain,
! [X0] :
( occurrence_of(sK15(X0),tptp3)
| tptp2 = sK6(sK15(X0))
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f649,f197]) ).
fof(f664,plain,
sK16(tptp0,sK21,sK22) = sK6(sK19(tptp0,sK21,sK22)),
inference(resolution,[],[f646,f228]) ).
fof(f676,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| sK6(X0) = sK2(sK15(X0),X0) ),
inference(resolution,[],[f654,f196]) ).
fof(f708,plain,
! [X0] :
( ~ occurrence_of(X0,sK20)
| tptp0 = sK6(sK8(tptp0,sK21,sK19(tptp0,sK21,X0))) ),
inference(resolution,[],[f647,f242]) ).
fof(f716,plain,
tptp0 = sK6(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),
inference(resolution,[],[f708,f228]) ).
fof(f826,definition,
( spl23_20
<=> occurrence_of(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)),tptp0) ),
introduced(definition,[new_symbols(definition,[spl23_20])],[avatar_definition]) ).
fof(f827,plain,
( ~ occurrence_of(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)),tptp0)
| spl23_20 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f828,plain,
( occurrence_of(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)),tptp0)
| ~ spl23_20 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f863,plain,
! [X0,X1] :
( ~ min_precedes(X0,X1,tptp0)
| tptp0 = sK1(sK14(sK8(tptp0,X0,X1)),sK8(tptp0,X0,X1))
| ~ min_precedes(X0,X1,tptp0) ),
inference(resolution,[],[f444,f180]) ).
fof(f864,plain,
! [X0,X1] :
( ~ min_precedes(X0,X1,tptp0)
| tptp0 = sK1(sK14(sK8(tptp0,X0,X1)),sK8(tptp0,X0,X1)) ),
inference(duplicate_literal_removal,[],[f863]) ).
fof(f865,plain,
! [X0] :
( ~ occurrence_of(X0,sK20)
| tptp0 = sK1(sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,X0))),sK8(tptp0,sK21,sK19(tptp0,sK21,X0))) ),
inference(resolution,[],[f864,f242]) ).
fof(f885,plain,
tptp0 = sK1(sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),
inference(resolution,[],[f865,f228]) ).
fof(f886,plain,
( root(sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),tptp0)
| ~ root_occ(sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))) ),
inference(superposition,[],[f148,f885]) ).
fof(f889,definition,
( spl23_21
<=> root_occ(sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))) ),
introduced(definition,[new_symbols(definition,[spl23_21])],[avatar_definition]) ).
fof(f890,plain,
( root_occ(sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)))
| ~ spl23_21 ),
inference(avatar_component_clause,[],[f889]) ).
fof(f891,plain,
( ~ root_occ(sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)))
| spl23_21 ),
inference(avatar_component_clause,[],[f889]) ).
fof(f894,definition,
( spl23_22
<=> root(sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),tptp0) ),
introduced(definition,[new_symbols(definition,[spl23_22])],[avatar_definition]) ).
fof(f896,plain,
( root(sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),tptp0)
| ~ spl23_22 ),
inference(avatar_component_clause,[],[f894]) ).
fof(f897,plain,
( ~ spl23_21
| spl23_22 ),
inference(avatar_split_clause,[],[f886,f894,f889]) ).
fof(f898,plain,
( ~ occurrence_of(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)),tptp0)
| spl23_21 ),
inference(resolution,[],[f891,f198]) ).
fof(f899,plain,
( ~ spl23_20
| spl23_21 ),
inference(avatar_split_clause,[],[f898,f889,f826]) ).
fof(f900,plain,
( ~ min_precedes(sK21,sK19(tptp0,sK21,sK22),tptp0)
| spl23_20 ),
inference(resolution,[],[f827,f180]) ).
fof(f901,plain,
( ~ occurrence_of(sK22,sK20)
| spl23_20 ),
inference(resolution,[],[f900,f242]) ).
fof(f904,plain,
( $false
| spl23_20 ),
inference(forward_subsumption_resolution,[],[f901,f228]) ).
fof(f905,plain,
spl23_20,
inference(avatar_contradiction_clause,[],[f904]) ).
fof(f906,plain,
( arboreal(sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))))
| ~ spl23_22 ),
inference(resolution,[],[f896,f612]) ).
fof(f910,plain,
( subactivity_occurrence(sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)))
| ~ spl23_21 ),
inference(resolution,[],[f890,f149]) ).
fof(f939,plain,
( sK6(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))) = sK2(sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)))
| ~ spl23_20 ),
inference(resolution,[],[f828,f676]) ).
fof(f954,plain,
( tptp0 = sK2(sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)))
| ~ spl23_20 ),
inference(forward_demodulation,[],[f939,f716]) ).
fof(f955,plain,
( ! [X0] :
( min_precedes(sK21,sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),X0)
| sK21 = sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)))
| ~ occurrence_of(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)),X0)
| ~ arboreal(sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))))
| ~ arboreal(sK21)
| ~ min_precedes(sK21,sK19(tptp0,sK21,sK22),tptp0)
| min_precedes(sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),sK21,X0) )
| ~ spl23_21 ),
inference(resolution,[],[f910,f258]) ).
fof(f956,plain,
( ! [X0] :
( min_precedes(sK19(tptp0,sK21,sK22),sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),X0)
| sK19(tptp0,sK21,sK22) = sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)))
| ~ occurrence_of(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)),X0)
| ~ arboreal(sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))))
| ~ arboreal(sK19(tptp0,sK21,sK22))
| ~ min_precedes(sK21,sK19(tptp0,sK21,sK22),tptp0)
| min_precedes(sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),sK19(tptp0,sK21,sK22),X0) )
| ~ spl23_21 ),
inference(resolution,[],[f910,f257]) ).
fof(f961,plain,
( ! [X0] :
( min_precedes(sK19(tptp0,sK21,sK22),sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),X0)
| sK19(tptp0,sK21,sK22) = sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)))
| ~ occurrence_of(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)),X0)
| ~ arboreal(sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))))
| ~ min_precedes(sK21,sK19(tptp0,sK21,sK22),tptp0)
| min_precedes(sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),sK19(tptp0,sK21,sK22),X0) )
| ~ spl23_21 ),
inference(forward_subsumption_resolution,[],[f956,f500]) ).
fof(f962,plain,
( ! [X0] :
( min_precedes(sK21,sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),X0)
| sK21 = sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)))
| ~ occurrence_of(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)),X0)
| ~ arboreal(sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))))
| ~ min_precedes(sK21,sK19(tptp0,sK21,sK22),tptp0)
| min_precedes(sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),sK21,X0) )
| ~ spl23_21 ),
inference(forward_subsumption_resolution,[],[f955,f501]) ).
fof(f965,plain,
( leaf(sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),tptp0)
| ~ leaf_occ(sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)))
| ~ spl23_20 ),
inference(superposition,[],[f152,f954]) ).
fof(f967,definition,
( spl23_27
<=> leaf_occ(sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))) ),
introduced(definition,[new_symbols(definition,[spl23_27])],[avatar_definition]) ).
fof(f968,plain,
( leaf_occ(sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)))
| ~ spl23_27 ),
inference(avatar_component_clause,[],[f967]) ).
fof(f969,plain,
( ~ leaf_occ(sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)))
| spl23_27 ),
inference(avatar_component_clause,[],[f967]) ).
fof(f971,definition,
( spl23_28
<=> leaf(sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),tptp0) ),
introduced(definition,[new_symbols(definition,[spl23_28])],[avatar_definition]) ).
fof(f973,plain,
( leaf(sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),tptp0)
| ~ spl23_28 ),
inference(avatar_component_clause,[],[f971]) ).
fof(f974,plain,
( ~ spl23_27
| spl23_28
| ~ spl23_20 ),
inference(avatar_split_clause,[],[f965,f826,f971,f967]) ).
fof(f979,plain,
( ~ occurrence_of(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)),tptp0)
| spl23_27 ),
inference(resolution,[],[f969,f196]) ).
fof(f1006,plain,
( ! [X0] :
( min_precedes(sK19(tptp0,sK21,sK22),sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),X0)
| sK19(tptp0,sK21,sK22) = sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)))
| ~ occurrence_of(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)),X0)
| ~ min_precedes(sK21,sK19(tptp0,sK21,sK22),tptp0)
| min_precedes(sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),sK19(tptp0,sK21,sK22),X0) )
| ~ spl23_21
| ~ spl23_22 ),
inference(forward_subsumption_resolution,[],[f961,f906]) ).
fof(f1007,plain,
( ! [X0] :
( min_precedes(sK21,sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),X0)
| sK21 = sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)))
| ~ occurrence_of(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)),X0)
| ~ min_precedes(sK21,sK19(tptp0,sK21,sK22),tptp0)
| min_precedes(sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),sK21,X0) )
| ~ spl23_21
| ~ spl23_22 ),
inference(forward_subsumption_resolution,[],[f962,f906]) ).
fof(f1008,plain,
( $false
| ~ spl23_20
| spl23_27 ),
inference(forward_subsumption_resolution,[],[f979,f828]) ).
fof(f1009,plain,
( ~ spl23_20
| spl23_27 ),
inference(avatar_contradiction_clause,[],[f1008]) ).
fof(f1011,definition,
( spl23_30
<=> min_precedes(sK21,sK19(tptp0,sK21,sK22),tptp0) ),
introduced(definition,[new_symbols(definition,[spl23_30])],[avatar_definition]) ).
fof(f1012,plain,
( min_precedes(sK21,sK19(tptp0,sK21,sK22),tptp0)
| ~ spl23_30 ),
inference(avatar_component_clause,[],[f1011]) ).
fof(f1013,plain,
( ~ min_precedes(sK21,sK19(tptp0,sK21,sK22),tptp0)
| spl23_30 ),
inference(avatar_component_clause,[],[f1011]) ).
fof(f1015,definition,
( spl23_31
<=> sK19(tptp0,sK21,sK22) = sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))) ),
introduced(definition,[new_symbols(definition,[spl23_31])],[avatar_definition]) ).
fof(f1017,plain,
( sK19(tptp0,sK21,sK22) = sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)))
| ~ spl23_31 ),
inference(avatar_component_clause,[],[f1015]) ).
fof(f1019,definition,
( spl23_32
<=> ! [X0] :
( min_precedes(sK19(tptp0,sK21,sK22),sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),X0)
| min_precedes(sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),sK19(tptp0,sK21,sK22),X0)
| ~ occurrence_of(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl23_32])],[avatar_definition]) ).
fof(f1020,plain,
( ! [X0] :
( min_precedes(sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),sK19(tptp0,sK21,sK22),X0)
| min_precedes(sK19(tptp0,sK21,sK22),sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),X0)
| ~ occurrence_of(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)),X0) )
| ~ spl23_32 ),
inference(avatar_component_clause,[],[f1019]) ).
fof(f1021,plain,
( ~ spl23_30
| spl23_31
| spl23_32
| ~ spl23_21
| ~ spl23_22 ),
inference(avatar_split_clause,[],[f1006,f894,f889,f1019,f1015,f1011]) ).
fof(f1023,definition,
( spl23_33
<=> sK21 = sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))) ),
introduced(definition,[new_symbols(definition,[spl23_33])],[avatar_definition]) ).
fof(f1025,plain,
( sK21 = sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)))
| ~ spl23_33 ),
inference(avatar_component_clause,[],[f1023]) ).
fof(f1027,definition,
( spl23_34
<=> ! [X0] :
( min_precedes(sK21,sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),X0)
| min_precedes(sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),sK21,X0)
| ~ occurrence_of(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl23_34])],[avatar_definition]) ).
fof(f1028,plain,
( ! [X0] :
( min_precedes(sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),sK21,X0)
| min_precedes(sK21,sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),X0)
| ~ occurrence_of(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)),X0) )
| ~ spl23_34 ),
inference(avatar_component_clause,[],[f1027]) ).
fof(f1029,plain,
( ~ spl23_30
| spl23_33
| spl23_34
| ~ spl23_21
| ~ spl23_22 ),
inference(avatar_split_clause,[],[f1007,f894,f889,f1027,f1023,f1011]) ).
fof(f1030,plain,
( ~ occurrence_of(sK22,sK20)
| spl23_30 ),
inference(resolution,[],[f1013,f242]) ).
fof(f1033,plain,
( $false
| spl23_30 ),
inference(forward_subsumption_resolution,[],[f1030,f228]) ).
fof(f1034,plain,
spl23_30,
inference(avatar_contradiction_clause,[],[f1033]) ).
fof(f1035,plain,
( sK21 = sK19(tptp0,sK21,sK22)
| ~ spl23_31
| ~ spl23_33 ),
inference(forward_demodulation,[],[f1025,f1017]) ).
fof(f1099,plain,
( ~ root(sK19(tptp0,sK21,sK22),tptp0)
| ~ spl23_30 ),
inference(resolution,[],[f1012,f144]) ).
fof(f1108,plain,
( ~ root(sK21,tptp0)
| ~ spl23_30
| ~ spl23_31
| ~ spl23_33 ),
inference(forward_demodulation,[],[f1099,f1035]) ).
fof(f1110,plain,
( $false
| ~ spl23_30
| ~ spl23_31
| ~ spl23_33 ),
inference(forward_subsumption_resolution,[],[f1108,f271]) ).
fof(f1111,plain,
( ~ spl23_30
| ~ spl23_31
| ~ spl23_33 ),
inference(avatar_contradiction_clause,[],[f1110]) ).
fof(f1150,plain,
( subactivity_occurrence(sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)))
| ~ spl23_27 ),
inference(resolution,[],[f968,f153]) ).
fof(f1174,plain,
( min_precedes(sK19(tptp0,sK21,sK22),sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),tptp0)
| ~ occurrence_of(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)),tptp0)
| ~ min_precedes(sK19(tptp0,sK21,sK22),sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),tptp0)
| ~ occurrence_of(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)),tptp0)
| ~ spl23_32 ),
inference(resolution,[],[f1020,f303]) ).
fof(f1187,plain,
( min_precedes(sK19(tptp0,sK21,sK22),sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),tptp0)
| ~ occurrence_of(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)),tptp0)
| ~ min_precedes(sK19(tptp0,sK21,sK22),sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),tptp0)
| ~ spl23_32 ),
inference(duplicate_literal_removal,[],[f1174]) ).
fof(f1196,plain,
( min_precedes(sK19(tptp0,sK21,sK22),sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),tptp0)
| ~ min_precedes(sK19(tptp0,sK21,sK22),sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),tptp0)
| ~ spl23_20
| ~ spl23_32 ),
inference(forward_subsumption_resolution,[],[f1187,f828]) ).
fof(f1206,definition,
( spl23_37
<=> min_precedes(sK19(tptp0,sK21,sK22),sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),tptp0) ),
introduced(definition,[new_symbols(definition,[spl23_37])],[avatar_definition]) ).
fof(f1207,plain,
( min_precedes(sK19(tptp0,sK21,sK22),sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),tptp0)
| ~ spl23_37 ),
inference(avatar_component_clause,[],[f1206]) ).
fof(f1208,plain,
( ~ min_precedes(sK19(tptp0,sK21,sK22),sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),tptp0)
| spl23_37 ),
inference(avatar_component_clause,[],[f1206]) ).
fof(f1273,plain,
( ! [X0] :
( min_precedes(sK19(tptp0,sK21,sK22),sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),X0)
| sK19(tptp0,sK21,sK22) = sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)))
| ~ occurrence_of(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)),X0)
| ~ arboreal(sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))))
| ~ arboreal(sK19(tptp0,sK21,sK22))
| ~ min_precedes(sK21,sK19(tptp0,sK21,sK22),tptp0)
| min_precedes(sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),sK19(tptp0,sK21,sK22),X0) )
| ~ spl23_27 ),
inference(resolution,[],[f1150,f257]) ).
fof(f1287,plain,
( ! [X0] :
( min_precedes(sK19(tptp0,sK21,sK22),sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),X0)
| sK19(tptp0,sK21,sK22) = sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)))
| ~ occurrence_of(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)),X0)
| ~ arboreal(sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))))
| ~ min_precedes(sK21,sK19(tptp0,sK21,sK22),tptp0)
| min_precedes(sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),sK19(tptp0,sK21,sK22),X0) )
| ~ spl23_27 ),
inference(forward_subsumption_resolution,[],[f1273,f500]) ).
fof(f1289,plain,
( ! [X0] :
( min_precedes(sK19(tptp0,sK21,sK22),sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),X0)
| sK19(tptp0,sK21,sK22) = sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)))
| ~ occurrence_of(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)),X0)
| ~ min_precedes(sK21,sK19(tptp0,sK21,sK22),tptp0)
| min_precedes(sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),sK19(tptp0,sK21,sK22),X0) )
| ~ spl23_27 ),
inference(forward_subsumption_resolution,[],[f1287,f345]) ).
fof(f1291,plain,
( ! [X0] :
( min_precedes(sK19(tptp0,sK21,sK22),sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),X0)
| sK19(tptp0,sK21,sK22) = sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)))
| ~ occurrence_of(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)),X0)
| min_precedes(sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),sK19(tptp0,sK21,sK22),X0) )
| ~ spl23_27
| ~ spl23_30 ),
inference(forward_subsumption_resolution,[],[f1289,f1012]) ).
fof(f1294,definition,
( spl23_41
<=> sK19(tptp0,sK21,sK22) = sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))) ),
introduced(definition,[new_symbols(definition,[spl23_41])],[avatar_definition]) ).
fof(f1296,plain,
( sK19(tptp0,sK21,sK22) = sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)))
| ~ spl23_41 ),
inference(avatar_component_clause,[],[f1294]) ).
fof(f1298,definition,
( spl23_42
<=> ! [X0] :
( min_precedes(sK19(tptp0,sK21,sK22),sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),X0)
| min_precedes(sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),sK19(tptp0,sK21,sK22),X0)
| ~ occurrence_of(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl23_42])],[avatar_definition]) ).
fof(f1299,plain,
( ! [X0] :
( min_precedes(sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),sK19(tptp0,sK21,sK22),X0)
| min_precedes(sK19(tptp0,sK21,sK22),sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),X0)
| ~ occurrence_of(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)),X0) )
| ~ spl23_42 ),
inference(avatar_component_clause,[],[f1298]) ).
fof(f1300,plain,
( spl23_41
| spl23_42
| ~ spl23_27
| ~ spl23_30 ),
inference(avatar_split_clause,[],[f1291,f1011,f967,f1298,f1294]) ).
fof(f1317,definition,
( spl23_46
<=> min_precedes(sK19(tptp0,sK21,sK22),sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),tptp0) ),
introduced(definition,[new_symbols(definition,[spl23_46])],[avatar_definition]) ).
fof(f1319,plain,
( min_precedes(sK19(tptp0,sK21,sK22),sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),tptp0)
| ~ spl23_46 ),
inference(avatar_component_clause,[],[f1317]) ).
fof(f1509,definition,
( spl23_60
<=> min_precedes(sK21,sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),tptp0) ),
introduced(definition,[new_symbols(definition,[spl23_60])],[avatar_definition]) ).
fof(f1510,plain,
( ~ min_precedes(sK21,sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),tptp0)
| spl23_60 ),
inference(avatar_component_clause,[],[f1509]) ).
fof(f1511,plain,
( min_precedes(sK21,sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),tptp0)
| ~ spl23_60 ),
inference(avatar_component_clause,[],[f1509]) ).
fof(f1536,plain,
( ~ root(sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),tptp0)
| ~ spl23_60 ),
inference(resolution,[],[f1511,f144]) ).
fof(f1544,plain,
( $false
| ~ spl23_22
| ~ spl23_60 ),
inference(forward_subsumption_resolution,[],[f1536,f896]) ).
fof(f1545,plain,
( ~ spl23_22
| ~ spl23_60 ),
inference(avatar_contradiction_clause,[],[f1544]) ).
fof(f1593,plain,
( min_precedes(sK19(tptp0,sK21,sK22),sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),tptp0)
| ~ spl23_20
| ~ spl23_32
| ~ spl23_37 ),
inference(forward_subsumption_resolution,[],[f1196,f1207]) ).
fof(f1594,plain,
( spl23_46
| ~ spl23_20
| ~ spl23_32
| ~ spl23_37 ),
inference(avatar_split_clause,[],[f1593,f1206,f1019,f826,f1317]) ).
fof(f1654,plain,
( ~ root(sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),tptp0)
| ~ spl23_46 ),
inference(resolution,[],[f1319,f144]) ).
fof(f1662,plain,
( $false
| ~ spl23_22
| ~ spl23_46 ),
inference(forward_subsumption_resolution,[],[f1654,f896]) ).
fof(f1663,plain,
( ~ spl23_22
| ~ spl23_46 ),
inference(avatar_contradiction_clause,[],[f1662]) ).
fof(f1665,definition,
( spl23_69
<=> min_precedes(sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),sK21,tptp0) ),
introduced(definition,[new_symbols(definition,[spl23_69])],[avatar_definition]) ).
fof(f1666,plain,
( min_precedes(sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),sK21,tptp0)
| ~ spl23_69 ),
inference(avatar_component_clause,[],[f1665]) ).
fof(f1667,plain,
( ~ min_precedes(sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),sK21,tptp0)
| spl23_69 ),
inference(avatar_component_clause,[],[f1665]) ).
fof(f1890,plain,
( min_precedes(sK21,sK14(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),tptp0)
| ~ occurrence_of(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)),tptp0)
| ~ spl23_34
| spl23_69 ),
inference(resolution,[],[f1667,f1028]) ).
fof(f1894,plain,
( ~ occurrence_of(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)),tptp0)
| ~ spl23_34
| spl23_60
| spl23_69 ),
inference(forward_subsumption_resolution,[],[f1890,f1510]) ).
fof(f1896,plain,
( $false
| ~ spl23_20
| ~ spl23_34
| spl23_60
| spl23_69 ),
inference(forward_subsumption_resolution,[],[f1894,f828]) ).
fof(f1897,plain,
( ~ spl23_20
| ~ spl23_34
| spl23_60
| spl23_69 ),
inference(avatar_contradiction_clause,[],[f1896]) ).
fof(f1924,plain,
( ~ root(sK21,tptp0)
| ~ spl23_69 ),
inference(resolution,[],[f1666,f144]) ).
fof(f1932,plain,
( $false
| ~ spl23_69 ),
inference(forward_subsumption_resolution,[],[f1924,f271]) ).
fof(f1933,plain,
~ spl23_69,
inference(avatar_contradiction_clause,[],[f1932]) ).
fof(f2159,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| tptp2 = sK6(sK15(X0))
| tptp3 = sK6(sK15(X0)) ),
inference(resolution,[],[f659,f649]) ).
fof(f2170,plain,
( tptp2 = sK6(sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))))
| tptp3 = sK6(sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))))
| ~ spl23_20 ),
inference(resolution,[],[f2159,f828]) ).
fof(f2195,definition,
( spl23_108
<=> tptp3 = sK6(sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)))) ),
introduced(definition,[new_symbols(definition,[spl23_108])],[avatar_definition]) ).
fof(f2197,plain,
( tptp3 = sK6(sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))))
| ~ spl23_108 ),
inference(avatar_component_clause,[],[f2195]) ).
fof(f2199,definition,
( spl23_109
<=> tptp2 = sK6(sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)))) ),
introduced(definition,[new_symbols(definition,[spl23_109])],[avatar_definition]) ).
fof(f2201,plain,
( tptp2 = sK6(sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))))
| ~ spl23_109 ),
inference(avatar_component_clause,[],[f2199]) ).
fof(f2202,plain,
( spl23_108
| spl23_109
| ~ spl23_20 ),
inference(avatar_split_clause,[],[f2170,f826,f2199,f2195]) ).
fof(f2486,definition,
( spl23_119
<=> min_precedes(sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),sK19(tptp0,sK21,sK22),tptp0) ),
introduced(definition,[new_symbols(definition,[spl23_119])],[avatar_definition]) ).
fof(f2487,plain,
( min_precedes(sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),sK19(tptp0,sK21,sK22),tptp0)
| ~ spl23_119 ),
inference(avatar_component_clause,[],[f2486]) ).
fof(f2488,plain,
( ~ min_precedes(sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),sK19(tptp0,sK21,sK22),tptp0)
| spl23_119 ),
inference(avatar_component_clause,[],[f2486]) ).
fof(f2507,plain,
( min_precedes(sK19(tptp0,sK21,sK22),sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),tptp0)
| ~ occurrence_of(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)),tptp0)
| ~ spl23_42
| spl23_119 ),
inference(resolution,[],[f2488,f1299]) ).
fof(f2512,plain,
( ~ occurrence_of(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22)),tptp0)
| spl23_37
| ~ spl23_42
| spl23_119 ),
inference(forward_subsumption_resolution,[],[f2507,f1208]) ).
fof(f2514,plain,
( $false
| ~ spl23_20
| spl23_37
| ~ spl23_42
| spl23_119 ),
inference(forward_subsumption_resolution,[],[f2512,f828]) ).
fof(f2515,plain,
( ~ spl23_20
| spl23_37
| ~ spl23_42
| spl23_119 ),
inference(avatar_contradiction_clause,[],[f2514]) ).
fof(f2573,plain,
( ~ leaf(sK15(sK8(tptp0,sK21,sK19(tptp0,sK21,sK22))),tptp0)
| ~ spl23_119 ),
inference(resolution,[],[f2487,f159]) ).
fof(f2580,plain,
( $false
| ~ spl23_28
| ~ spl23_119 ),
inference(forward_subsumption_resolution,[],[f2573,f973]) ).
fof(f2581,plain,
( ~ spl23_28
| ~ spl23_119 ),
inference(avatar_contradiction_clause,[],[f2580]) ).
fof(f2619,plain,
( tptp3 = sK6(sK19(tptp0,sK21,sK22))
| ~ spl23_41
| ~ spl23_108 ),
inference(superposition,[],[f2197,f1296]) ).
fof(f2645,plain,
( tptp3 = sK16(tptp0,sK21,sK22)
| ~ spl23_41
| ~ spl23_108 ),
inference(forward_demodulation,[],[f2619,f664]) ).
fof(f2668,plain,
( send_message(tptp3,sK17(tptp0,sK21,sK22),sK18(tptp0,sK21,sK22),sK21,tptp0)
| ~ occurrence_of(sK22,sK20)
| ~ spl23_41
| ~ spl23_108 ),
inference(superposition,[],[f233,f2645]) ).
fof(f2670,plain,
( ~ occurrence_of(sK22,sK20)
| ~ spl23_41
| ~ spl23_108 ),
inference(forward_subsumption_resolution,[],[f2668,f231]) ).
fof(f2673,plain,
( $false
| ~ spl23_41
| ~ spl23_108 ),
inference(forward_subsumption_resolution,[],[f2670,f228]) ).
fof(f2674,plain,
( ~ spl23_41
| ~ spl23_108 ),
inference(avatar_contradiction_clause,[],[f2673]) ).
fof(f2676,plain,
( tptp2 = sK6(sK19(tptp0,sK21,sK22))
| ~ spl23_41
| ~ spl23_109 ),
inference(forward_demodulation,[],[f2201,f1296]) ).
fof(f2678,plain,
( tptp2 = sK16(tptp0,sK21,sK22)
| ~ spl23_41
| ~ spl23_109 ),
inference(forward_demodulation,[],[f2676,f664]) ).
fof(f2714,plain,
( send_message(tptp2,sK17(tptp0,sK21,sK22),sK18(tptp0,sK21,sK22),sK21,tptp0)
| ~ occurrence_of(sK22,sK20)
| ~ spl23_41
| ~ spl23_109 ),
inference(superposition,[],[f233,f2678]) ).
fof(f2716,plain,
( ~ occurrence_of(sK22,sK20)
| ~ spl23_41
| ~ spl23_109 ),
inference(forward_subsumption_resolution,[],[f2714,f232]) ).
fof(f2719,plain,
( $false
| ~ spl23_41
| ~ spl23_109 ),
inference(forward_subsumption_resolution,[],[f2716,f228]) ).
fof(f2720,plain,
( ~ spl23_41
| ~ spl23_109 ),
inference(avatar_contradiction_clause,[],[f2719]) ).
cnf(s19,plain,
( ~ spl23_21
| spl23_22 ),
inference(sat_conversion,[],[f897]) ).
cnf(s20,plain,
( ~ spl23_20
| spl23_21 ),
inference(sat_conversion,[],[f899]) ).
cnf(s21,plain,
spl23_20,
inference(sat_conversion,[],[f905]) ).
cnf(s25,plain,
( ~ spl23_20
| ~ spl23_27
| spl23_28 ),
inference(sat_conversion,[],[f974]) ).
cnf(s29,plain,
( ~ spl23_20
| spl23_27 ),
inference(sat_conversion,[],[f1009]) ).
cnf(s30,plain,
( ~ spl23_21
| ~ spl23_22
| ~ spl23_30
| spl23_31
| spl23_32 ),
inference(sat_conversion,[],[f1021]) ).
cnf(s31,plain,
( ~ spl23_21
| ~ spl23_22
| ~ spl23_30
| spl23_33
| spl23_34 ),
inference(sat_conversion,[],[f1029]) ).
cnf(s32,plain,
spl23_30,
inference(sat_conversion,[],[f1034]) ).
cnf(s33,plain,
( ~ spl23_30
| ~ spl23_31
| ~ spl23_33 ),
inference(sat_conversion,[],[f1111]) ).
cnf(s38,plain,
( ~ spl23_27
| ~ spl23_30
| spl23_41
| spl23_42 ),
inference(sat_conversion,[],[f1300]) ).
cnf(s56,plain,
( ~ spl23_22
| ~ spl23_60 ),
inference(sat_conversion,[],[f1545]) ).
cnf(s61,plain,
( ~ spl23_20
| ~ spl23_32
| ~ spl23_37
| spl23_46 ),
inference(sat_conversion,[],[f1594]) ).
cnf(s65,plain,
( ~ spl23_22
| ~ spl23_46 ),
inference(sat_conversion,[],[f1663]) ).
cnf(s85,plain,
( ~ spl23_20
| ~ spl23_34
| spl23_60
| spl23_69 ),
inference(sat_conversion,[],[f1897]) ).
cnf(s86,plain,
~ spl23_69,
inference(sat_conversion,[],[f1933]) ).
cnf(s102,plain,
( ~ spl23_20
| spl23_108
| spl23_109 ),
inference(sat_conversion,[],[f2202]) ).
cnf(s117,plain,
( ~ spl23_20
| spl23_37
| ~ spl23_42
| spl23_119 ),
inference(sat_conversion,[],[f2515]) ).
cnf(s124,plain,
( ~ spl23_28
| ~ spl23_119 ),
inference(sat_conversion,[],[f2581]) ).
cnf(s126,plain,
( ~ spl23_41
| ~ spl23_108 ),
inference(sat_conversion,[],[f2674]) ).
cnf(s129,plain,
( ~ spl23_41
| ~ spl23_109 ),
inference(sat_conversion,[],[f2720]) ).
cnf(s130,plain,
( ~ spl23_20
| ~ spl23_34
| spl23_60 ),
inference(rat,[],[s85,s86]) ).
cnf(s131,plain,
( ~ spl23_21
| ~ spl23_22
| spl23_33
| spl23_34 ),
inference(rat,[],[s31,s32]) ).
cnf(s132,plain,
( ~ spl23_21
| ~ spl23_22
| spl23_31
| spl23_32 ),
inference(rat,[],[s30,s32]) ).
cnf(s133,plain,
spl23_27,
inference(rat,[],[s29,s21]) ).
cnf(s137,plain,
spl23_28,
inference(rat,[],[s25,s21,s133]) ).
cnf(s138,plain,
~ spl23_119,
inference(rat,[],[s124,s137]) ).
cnf(s139,plain,
spl23_21,
inference(rat,[],[s20,s21]) ).
cnf(s141,plain,
spl23_22,
inference(rat,[],[s19,s139]) ).
cnf(s142,plain,
~ spl23_46,
inference(rat,[],[s65,s141]) ).
cnf(s143,plain,
~ spl23_60,
inference(rat,[],[s56,s141]) ).
cnf(s144,plain,
~ spl23_34,
inference(rat,[],[s130,s21,s143]) ).
cnf(s145,plain,
spl23_33,
inference(rat,[],[s131,s141,s139,s144]) ).
cnf(s148,plain,
~ spl23_31,
inference(rat,[],[s33,s32,s145]) ).
cnf(s152,plain,
spl23_32,
inference(rat,[],[s132,s141,s139,s148]) ).
cnf(s155,plain,
~ spl23_37,
inference(rat,[],[s61,s142,s21,s152]) ).
cnf(s159,plain,
~ spl23_42,
inference(rat,[],[s117,s138,s21,s155]) ).
cnf(s163,plain,
spl23_41,
inference(rat,[],[s38,s133,s32,s159]) ).
cnf(s165,plain,
~ spl23_109,
inference(rat,[],[s129,s163]) ).
cnf(s166,plain,
~ spl23_108,
inference(rat,[],[s126,s163]) ).
cnf(s168,plain,
$false,
inference(rat,[],[s102,s21,s165,s166]) ).
fof(f2721,plain,
$false,
inference(avatar_sat_refutation,[],[s168]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : PRO002+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.46 % Computer : n011.cluster.edu
% 0.19/0.46 % Model : x86_64 x86_64
% 0.19/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46 % Memory : 8046.5625MB
% 0.19/0.46 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.46 % DateTime : Sun Sep 27 22:16:15 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.46 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.52 Running first-order theorem proving
% 0.25/0.52 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
% 15.30/3.37 % (2814849)Detected formulas, will run a generic FOF schedule.
% 15.30/3.37 % (2814858)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3125413351:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 15.30/3.37 % (2814854)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=2141491343:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 15.30/3.37 % (2814855)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=3350973331:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 15.30/3.37 % (2814858)Instruction limit reached!
% 15.30/3.37 % (2814858)------------------------------
% 15.30/3.37 % (2814858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.30/3.37 % (2814858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.30/3.37 % (2814858)CaDiCaL version: 2.1.3
% 15.30/3.37 % (2814858)Termination reason: Instruction limit
% 15.30/3.37 % (2814858)Termination phase: Saturation
% 15.30/3.37 % (2814858)Time elapsed: 0.051 s
% 15.30/3.37 % (2814858)Peak memory usage: 88 MB
% 15.30/3.37 % (2814858)Instructions burned: 120 (million)
% 15.30/3.37 % (2814857)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=822592685:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 15.30/3.37 % (2814856)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=2705949035:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 15.30/3.37 % (2814859)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3115126602:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 15.30/3.37 % (2814857)Refutation not found, incomplete strategy
% 15.30/3.37 % (2814857)------------------------------
% 15.30/3.37 % (2814857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.30/3.37 % (2814857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.30/3.37 % (2814857)CaDiCaL version: 2.1.3
% 15.30/3.37 % (2814857)Termination reason: Refutation not found, incomplete strategy
% 15.30/3.37 % (2814857)Time elapsed: 0.002 s
% 15.30/3.37 % (2814857)Peak memory usage: 88 MB
% 15.30/3.37 % (2814860)dis-21_1_sil=8000:lcm=predicate:random_seed=868477776: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)
% 15.30/3.37 % (2814859)Instruction limit reached!
% 15.30/3.37 % (2814859)------------------------------
% 15.30/3.37 % (2814859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.30/3.37 % (2814859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.30/3.37 % (2814859)CaDiCaL version: 2.1.3
% 15.30/3.37 % (2814859)Termination reason: Instruction limit
% 15.30/3.37 % (2814859)Termination phase: Saturation
% 15.30/3.37 % (2814859)Time elapsed: 0.078 s
% 15.30/3.37 % (2814859)Peak memory usage: 90 MB
% 15.30/3.37 % (2814859)Instructions burned: 140 (million)
% 15.30/3.37 % (2814860)Instruction limit reached!
% 15.30/3.37 % (2814860)------------------------------
% 15.30/3.37 % (2814860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.30/3.37 % (2814860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.30/3.38 % (2814860)CaDiCaL version: 2.1.3
% 15.30/3.38 % (2814860)Termination reason: Instruction limit
% 15.30/3.38 % (2814860)Termination phase: Saturation
% 15.30/3.38 % (2814860)Time elapsed: 0.119 s
% 15.30/3.38 % (2814860)Peak memory usage: 89 MB
% 15.30/3.38 % (2814860)Instructions burned: 130 (million)
% 15.30/3.38 % (2814864)lrs+10_1_sil=8000:sp=occurrence:random_seed=3479219002:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 15.30/3.38 % (2814869)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4280023185:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 15.30/3.38 % (2814869)Refutation not found, incomplete strategy
% 15.30/3.38 % (2814869)------------------------------
% 15.30/3.38 % (2814869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.30/3.38 % (2814869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.30/3.38 % (2814869)CaDiCaL version: 2.1.3
% 15.30/3.38 % (2814869)Termination reason: Refutation not found, incomplete strategy
% 15.30/3.38 % (2814869)Time elapsed: 0.001 s
% 15.30/3.38 % (2814869)Peak memory usage: 88 MB
% 15.30/3.38 % (2814869)Instructions burned: 1 (million)
% 15.30/3.38 % (2814857)------------------------------
% 15.30/3.38 % (2814857)------------------------------
% 15.30/3.38 % (2814870)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3474054370:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 15.30/3.38 % (2814864)Instruction limit reached!
% 15.30/3.38 % (2814864)------------------------------
% 15.30/3.38 % (2814864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.30/3.38 % (2814864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.30/3.38 % (2814864)CaDiCaL version: 2.1.3
% 15.30/3.38 % (2814864)Termination reason: Instruction limit
% 15.30/3.38 % (2814864)Termination phase: Saturation
% 15.30/3.38 % (2814864)Time elapsed: 0.260 s
% 15.30/3.38 % (2814864)Peak memory usage: 91 MB
% 15.30/3.38 % (2814864)Instructions burned: 285 (million)
% 15.30/3.38 % (2814869)------------------------------
% 15.30/3.38 % (2814869)------------------------------
% 15.30/3.38 % (2814873)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=651791322:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 15.30/3.38 % (2814870)Instruction limit reached!
% 15.30/3.38 % (2814870)------------------------------
% 15.30/3.38 % (2814870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.30/3.38 % (2814870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.30/3.38 % (2814870)CaDiCaL version: 2.1.3
% 15.30/3.38 % (2814870)Termination reason: Instruction limit
% 15.30/3.38 % (2814870)Termination phase: Saturation
% 15.30/3.38 % (2814870)Time elapsed: 0.324 s
% 15.30/3.38 % (2814870)Peak memory usage: 91 MB
% 15.30/3.38 % (2814870)Instructions burned: 325 (million)
% 15.30/3.38 % (2814876)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2548818025:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 15.30/3.38 % (2814875)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3296149808:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 15.30/3.38 % (2814873)Instruction limit reached!
% 15.30/3.38 % (2814873)------------------------------
% 15.30/3.38 % (2814873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.30/3.38 % (2814873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.30/3.38 % (2814873)CaDiCaL version: 2.1.3
% 15.30/3.38 % (2814873)Termination reason: Instruction limit
% 15.30/3.38 % (2814873)Termination phase: Saturation
% 15.30/3.38 % (2814873)Time elapsed: 0.244 s
% 15.30/3.38 % (2814873)Peak memory usage: 90 MB
% 15.30/3.38 % (2814873)Instructions burned: 249 (million)
% 15.30/3.38 % (2814878)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2294490687:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 15.30/3.38 % (2814875)Instruction limit reached!
% 15.30/3.38 % (2814875)------------------------------
% 15.30/3.38 % (2814875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.30/3.38 % (2814875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.30/3.38 % (2814875)CaDiCaL version: 2.1.3
% 15.30/3.38 % (2814875)Termination reason: Instruction limit
% 15.30/3.38 % (2814875)Termination phase: Saturation
% 15.30/3.38 % (2814875)Time elapsed: 0.243 s
% 15.30/3.38 % (2814875)Peak memory usage: 88 MB
% 15.30/3.38 % (2814875)Instructions burned: 294 (million)
% 15.30/3.38 % (2814878)Instruction limit reached!
% 15.30/3.38 % (2814878)------------------------------
% 15.30/3.38 % (2814878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.30/3.38 % (2814878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.30/3.38 % (2814878)CaDiCaL version: 2.1.3
% 15.30/3.38 % (2814878)Termination reason: Instruction limit
% 15.30/3.38 % (2814878)Termination phase: Saturation
% 15.30/3.38 % (2814878)Time elapsed: 0.123 s
% 15.30/3.38 % (2814878)Peak memory usage: 90 MB
% 15.30/3.38 % (2814878)Instructions burned: 113 (million)
% 15.30/3.38 % (2814881)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1390732329:i=127:av=off:fsr=off:sup=off_2987 on theBenchmark for (2987ds/127Mi)
% 15.30/3.38 % (2814883)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3950848276:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2986 on theBenchmark for (2986ds/114Mi)
% 15.30/3.38 % (2814883)Refutation not found, incomplete strategy
% 15.30/3.38 % (2814883)------------------------------
% 15.30/3.38 % (2814883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.30/3.38 % (2814883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.30/3.38 % (2814883)CaDiCaL version: 2.1.3
% 15.30/3.38 % (2814883)Termination reason: Refutation not found, incomplete strategy
% 15.30/3.38 % (2814883)Time elapsed: 0.002 s
% 15.30/3.38 % (2814883)Peak memory usage: 88 MB
% 15.30/3.38 % (2814881)Instruction limit reached!
% 15.30/3.38 % (2814881)------------------------------
% 15.30/3.38 % (2814881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.30/3.38 % (2814881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.30/3.38 % (2814881)CaDiCaL version: 2.1.3
% 15.30/3.38 % (2814881)Termination reason: Instruction limit
% 15.30/3.38 % (2814881)Termination phase: Saturation
% 15.30/3.38 % (2814881)Time elapsed: 0.110 s
% 15.30/3.38 % (2814881)Peak memory usage: 89 MB
% 15.30/3.38 % (2814881)Instructions burned: 128 (million)
% 15.30/3.38 % (2814854)First to succeed.
% 15.30/3.38 % (2814854)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2814849"
% 15.30/3.38 % (2814884)lrs+10_1_sil=8000:sp=occurrence:random_seed=3771956781:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 15.30/3.38 % (2814876)Also succeeded, but the first one will report.
% 15.30/3.38 % (2814887)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3149436014:i=437:sd=1:aac=none:ss=included_2983 on theBenchmark for (2983ds/437Mi)
% 15.30/3.38 % (2814887)Refutation not found, incomplete strategy
% 15.30/3.38 % (2814887)------------------------------
% 15.30/3.38 % (2814887)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.30/3.38 % (2814887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.30/3.38 % (2814887)CaDiCaL version: 2.1.3
% 15.30/3.38 % (2814887)Termination reason: Refutation not found, incomplete strategy
% 15.30/3.38 % (2814887)Time elapsed: 0.008 s
% 15.30/3.38 % (2814887)Peak memory usage: 88 MB
% 15.30/3.38 % (2814887)Instructions burned: 6 (million)
% 15.30/3.38 % (2814883)------------------------------
% 15.30/3.38 % (2814883)------------------------------
% 15.30/3.38 % (2814854)Refutation found. Thanks to Tanya!
% 15.30/3.38 % SZS status Theorem for theBenchmark
% 15.30/3.38 % SZS output start Proof for theBenchmark
% See solution above
% 16.07/3.65 % (2814854)------------------------------
% 16.07/3.65 % (2814854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.07/3.65 % (2814854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.07/3.65 % (2814854)CaDiCaL version: 2.1.3
% 16.07/3.65 % (2814854)Termination reason: Refutation
% 16.07/3.65 % (2814854)Time elapsed: 1.403 s
% 16.07/3.65 % (2814854)Peak memory usage: 133 MB
% 16.07/3.65 % (2814854)Instructions burned: 1328 (million)
% 16.07/3.65 % (2814854)------------------------------
% 16.07/3.65 % (2814854)------------------------------
% 16.07/3.65 % (2814849)Success in time 2.133 s
% 16.07/3.65 % Vampire exiting
%------------------------------------------------------------------------------