%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PRO006+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 : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:30:22 PM UTC 2026
% Result : Theorem 5.43s 1.70s
% Output : Refutation 5.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 39
% Syntax : Number of formulae : 272 ( 38 unt; 17 def)
% Number of atoms : 883 ( 40 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 1071 ( 460 ~; 464 |; 109 &)
% ( 26 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 31 ( 29 usr; 18 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 5 con; 0-3 aty)
% Number of variables : 351 ( 0 sgn 311 !; 40 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1,X2,X3] :
( ( occurrence_of(X2,X3)
& ~ atomic(X3)
& leaf_occ(X0,X2)
& leaf_occ(X1,X2) )
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).
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(f21,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_20) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( occurrence_of(X0,X2)
& leaf_occ(X1,X0) )
=> ~ ? [X3] : min_precedes(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_21) ).
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(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(f33,axiom,
! [X0] :
( occurrence_of(X0,tptp0)
=> ? [X1,X2] :
( occurrence_of(X1,tptp4)
& root_occ(X1,X0)
& occurrence_of(X2,tptp3)
& leaf_occ(X2,X0)
& next_subocc(X1,X2,tptp0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).
fof(f35,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_34) ).
fof(f36,axiom,
atomic(tptp4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_35) ).
fof(f37,axiom,
atomic(tptp3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_36) ).
fof(f43,axiom,
tptp1 != tptp3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_42) ).
fof(f46,axiom,
! [X0,X1] :
( ( occurrence_of(X1,tptp0)
& subactivity_occurrence(X0,X1)
& arboreal(X0)
& ~ leaf_occ(X0,X1) )
=> ? [X2] :
( occurrence_of(X2,tptp1)
& next_subocc(X0,X2,tptp0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_45) ).
fof(f47,conjecture,
~ ? [X0] : occurrence_of(X0,tptp0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f48,negated_conjecture,
~ ~ ? [X0] : occurrence_of(X0,tptp0),
inference(negated_conjecture,[status(cth)],[f47]) ).
fof(f49,plain,
? [X0] : occurrence_of(X0,tptp0),
inference(flattening,[],[f48]) ).
fof(f56,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ occurrence_of(X2,X3)
| atomic(X3)
| ~ leaf_occ(X0,X2)
| ~ leaf_occ(X1,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f57,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ occurrence_of(X2,X3)
| atomic(X3)
| ~ leaf_occ(X0,X2)
| ~ leaf_occ(X1,X2) ),
inference(flattening,[],[f56]) ).
fof(f58,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(f59,plain,
! [X0,X1,X2] :
( ( arboreal(X0)
& arboreal(X1) )
| ~ next_subocc(X0,X1,X2) ),
inference(ennf_transformation,[],[f6]) ).
fof(f61,plain,
! [X0,X1,X2] :
( ~ root(X1,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(ennf_transformation,[],[f8]) ).
fof(f64,plain,
! [X0,X1] :
( ( arboreal(X0)
<=> atomic(X1) )
| ~ occurrence_of(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f65,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(f71,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X3,X1,X2)
| ~ occurrence_of(X0,X2)
| ~ root_occ(X1,X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X3,X1,X2)
| ~ occurrence_of(X0,X2)
| ~ root_occ(X1,X0) ),
inference(flattening,[],[f71]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
| ~ occurrence_of(X0,X2)
| ~ leaf_occ(X1,X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
| ~ occurrence_of(X0,X2)
| ~ leaf_occ(X1,X0) ),
inference(flattening,[],[f73]) ).
fof(f75,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f76,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2) ),
inference(flattening,[],[f75]) ).
fof(f79,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(f82,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(f84,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(f85,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,[],[f84]) ).
fof(f90,plain,
! [X0] :
( ? [X1,X2] :
( occurrence_of(X1,tptp4)
& root_occ(X1,X0)
& occurrence_of(X2,tptp3)
& leaf_occ(X2,X0)
& next_subocc(X1,X2,tptp0) )
| ~ occurrence_of(X0,tptp0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f91,plain,
! [X0,X1] :
( ? [X2] :
( occurrence_of(X2,tptp1)
& next_subocc(X0,X2,tptp0) )
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(ennf_transformation,[],[f46]) ).
fof(f92,plain,
! [X0,X1] :
( ? [X2] :
( occurrence_of(X2,tptp1)
& next_subocc(X0,X2,tptp0) )
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(flattening,[],[f91]) ).
fof(f93,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,[],[f58]) ).
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) ) )
& ( ( min_precedes(X0,X1,X2)
& ! [X3] :
( ~ min_precedes(X0,X3,X2)
| ~ min_precedes(X3,X1,X2) ) )
| ~ next_subocc(X0,X1,X2) ) ),
inference(flattening,[],[f93]) ).
fof(f95,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,[],[f94]) ).
fof(f96,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))],[f95]) ).
fof(f99,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(f100,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,[],[f99]) ).
fof(f101,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))],[f100]) ).
fof(f102,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(f103,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,[],[f102]) ).
fof(f104,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))],[f103]) ).
fof(f105,plain,
! [X0,X1] :
( ( ( arboreal(X0)
| ~ atomic(X1) )
& ( atomic(X1)
| ~ arboreal(X0) ) )
| ~ occurrence_of(X0,X1) ),
inference(nnf_transformation,[],[f64]) ).
fof(f106,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,[],[f65]) ).
fof(f107,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,[],[f106]) ).
fof(f108,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,[],[f107]) ).
fof(f109,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))],[f108]) ).
fof(f110,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(f111,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,[],[f110]) ).
fof(f112,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))],[f111]) ).
fof(f115,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))],[f79]) ).
fof(f117,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))],[f82]) ).
fof(f120,plain,
! [X0] :
( ( occurrence_of(sK14(X0),tptp4)
& root_occ(sK14(X0),X0)
& occurrence_of(sK15(X0),tptp3)
& 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))],[f90]) ).
fof(f121,plain,
! [X0,X1] :
( ( occurrence_of(sK16(X0),tptp1)
& next_subocc(X0,sK16(X0),tptp0) )
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X2,sK16(X0))],[f92]) ).
fof(f122,plain,
occurrence_of(sK17,tptp0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(X0,sK17)],[f49]) ).
fof(f126,plain,
! [X2,X3,X0,X1] :
( ~ leaf_occ(X1,X2)
| ~ occurrence_of(X2,X3)
| atomic(X3)
| ~ leaf_occ(X0,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f57]) ).
fof(f127,plain,
! [X2,X0,X1,X4] :
( ~ next_subocc(X0,X1,X2)
| ~ min_precedes(X4,X1,X2)
| ~ min_precedes(X0,X4,X2) ),
inference(cnf_transformation,[],[f96]) ).
fof(f128,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f96]) ).
fof(f131,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| arboreal(X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f134,plain,
! [X2,X0,X1] :
( ~ root(X1,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f61]) ).
fof(f139,plain,
! [X0,X1] :
( root(X0,sK1(X0,X1))
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f140,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f141,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| occurrence_of(X1,sK1(X0,X1)) ),
inference(cnf_transformation,[],[f101]) ).
fof(f143,plain,
! [X0,X1] :
( leaf(X0,sK2(X0,X1))
| ~ leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f144,plain,
! [X0,X1] :
( ~ leaf_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f145,plain,
! [X0,X1] :
( ~ leaf_occ(X0,X1)
| occurrence_of(X1,sK2(X0,X1)) ),
inference(cnf_transformation,[],[f104]) ).
fof(f149,plain,
! [X0,X1] :
( ~ atomic(X1)
| arboreal(X0)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f105]) ).
fof(f150,plain,
! [X0,X1,X5] :
( ~ min_precedes(X0,X5,X1)
| ~ leaf(X0,X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f154,plain,
! [X0,X1] :
( ~ atocc(X0,X1)
| occurrence_of(X0,sK5(X0,X1)) ),
inference(cnf_transformation,[],[f112]) ).
fof(f164,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X3,X1,X2)
| ~ occurrence_of(X0,X2)
| ~ root_occ(X1,X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f165,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X1,X3,X2)
| ~ occurrence_of(X0,X2)
| ~ leaf_occ(X1,X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f166,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f76]) ).
fof(f169,plain,
! [X2,X0,X1] :
( subactivity_occurrence(X2,sK8(X0,X1,X2))
| ~ min_precedes(X1,X2,X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f171,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| occurrence_of(sK8(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f175,plain,
! [X2,X0,X1] :
( atocc(X1,sK10(X0,X1,X2))
| ~ min_precedes(X1,X2,X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f180,plain,
! [X2,X3,X0,X1] :
( ~ arboreal(X3)
| min_precedes(X3,X2,X0)
| X2 = X3
| ~ occurrence_of(X1,X0)
| ~ arboreal(X2)
| min_precedes(X2,X3,X0)
| ~ subactivity_occurrence(X2,X1)
| ~ subactivity_occurrence(X3,X1) ),
inference(cnf_transformation,[],[f85]) ).
fof(f186,plain,
! [X0] :
( next_subocc(sK14(X0),sK15(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f187,plain,
! [X0] :
( leaf_occ(sK15(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f188,plain,
! [X0] :
( occurrence_of(sK15(X0),tptp3)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f189,plain,
! [X0] :
( root_occ(sK14(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f190,plain,
! [X0] :
( occurrence_of(sK14(X0),tptp4)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f192,plain,
~ atomic(tptp0),
inference(cnf_transformation,[],[f35]) ).
fof(f193,plain,
atomic(tptp4),
inference(cnf_transformation,[],[f36]) ).
fof(f194,plain,
atomic(tptp3),
inference(cnf_transformation,[],[f37]) ).
fof(f200,plain,
tptp3 != tptp1,
inference(cnf_transformation,[],[f43]) ).
fof(f203,plain,
! [X0,X1] :
( ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| next_subocc(X0,sK16(X0),tptp0)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f121]) ).
fof(f204,plain,
! [X0,X1] :
( ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| occurrence_of(sK16(X0),tptp1)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f121]) ).
fof(f205,plain,
occurrence_of(sK17,tptp0),
inference(cnf_transformation,[],[f122]) ).
fof(f208,plain,
! [X0] :
( subactivity_occurrence(sK15(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f144,f187]) ).
fof(f209,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| occurrence_of(X0,sK2(sK15(X0),X0)) ),
inference(resolution,[],[f145,f187]) ).
fof(f229,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,tptp0)
| atomic(X1)
| ~ leaf_occ(X2,X0)
| sK15(X0) = X2
| ~ occurrence_of(X0,X1) ),
inference(resolution,[],[f126,f187]) ).
fof(f246,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| min_precedes(sK14(X0),sK15(X0),tptp0) ),
inference(resolution,[],[f186,f128]) ).
fof(f247,plain,
min_precedes(sK14(sK17),sK15(sK17),tptp0),
inference(resolution,[],[f246,f205]) ).
fof(f251,plain,
! [X0] :
( ~ leaf_occ(sK14(sK17),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f247,f165]) ).
fof(f252,plain,
! [X0,X1] :
( ~ occurrence_of(X0,tptp0)
| ~ occurrence_of(sK14(X0),X1)
| tptp4 = X1 ),
inference(resolution,[],[f190,f166]) ).
fof(f274,plain,
! [X0] :
( subactivity_occurrence(sK14(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f140,f189]) ).
fof(f287,plain,
! [X0,X1] :
( ~ occurrence_of(X1,tptp0)
| ~ min_precedes(sK14(X1),X0,tptp0)
| ~ min_precedes(X0,sK15(X1),tptp0) ),
inference(resolution,[],[f127,f186]) ).
fof(f312,plain,
! [X0] :
( ~ occurrence_of(X0,tptp3)
| arboreal(X0) ),
inference(resolution,[],[f194,f149]) ).
fof(f314,plain,
! [X0] :
( ~ occurrence_of(X0,tptp4)
| arboreal(X0) ),
inference(resolution,[],[f193,f149]) ).
fof(f315,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| occurrence_of(X0,sK1(sK14(X0),X0)) ),
inference(resolution,[],[f141,f189]) ).
fof(f414,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| occurrence_of(X0,sK5(X0,sK10(X2,X0,X1))) ),
inference(resolution,[],[f175,f154]) ).
fof(f415,plain,
occurrence_of(sK14(sK17),sK5(sK14(sK17),sK10(tptp0,sK14(sK17),sK15(sK17)))),
inference(resolution,[],[f414,f247]) ).
fof(f442,plain,
! [X0] :
( ~ occurrence_of(sK14(sK17),X0)
| tptp4 = X0 ),
inference(resolution,[],[f252,f205]) ).
fof(f444,plain,
tptp4 = sK5(sK14(sK17),sK10(tptp0,sK14(sK17),sK15(sK17))),
inference(resolution,[],[f442,f415]) ).
fof(f445,plain,
occurrence_of(sK14(sK17),tptp4),
inference(superposition,[],[f415,f444]) ).
fof(f450,plain,
! [X0] :
( arboreal(sK14(X0))
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f314,f190]) ).
fof(f451,plain,
arboreal(sK14(sK17)),
inference(resolution,[],[f314,f445]) ).
fof(f454,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK14(sK17),X0)
| occurrence_of(sK16(sK14(sK17)),tptp1)
| leaf_occ(sK14(sK17),X0) ),
inference(resolution,[],[f451,f204]) ).
fof(f455,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK14(sK17),X0)
| next_subocc(sK14(sK17),sK16(sK14(sK17)),tptp0)
| leaf_occ(sK14(sK17),X0) ),
inference(resolution,[],[f451,f203]) ).
fof(f456,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK14(sK17),X0)
| next_subocc(sK14(sK17),sK16(sK14(sK17)),tptp0) ),
inference(forward_subsumption_resolution,[],[f455,f251]) ).
fof(f457,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK14(sK17),X0)
| occurrence_of(sK16(sK14(sK17)),tptp1) ),
inference(forward_subsumption_resolution,[],[f454,f251]) ).
fof(f459,definition,
( spl18_19
<=> next_subocc(sK14(sK17),sK16(sK14(sK17)),tptp0) ),
introduced(definition,[new_symbols(definition,[spl18_19])],[avatar_definition]) ).
fof(f460,plain,
( next_subocc(sK14(sK17),sK16(sK14(sK17)),tptp0)
| ~ spl18_19 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f462,definition,
( spl18_20
<=> ! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK14(sK17),X0) ) ),
introduced(definition,[new_symbols(definition,[spl18_20])],[avatar_definition]) ).
fof(f463,plain,
( ! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK14(sK17),X0) )
| ~ spl18_20 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f464,plain,
( spl18_19
| spl18_20 ),
inference(avatar_split_clause,[],[f456,f462,f459]) ).
fof(f466,definition,
( spl18_21
<=> occurrence_of(sK16(sK14(sK17)),tptp1) ),
introduced(definition,[new_symbols(definition,[spl18_21])],[avatar_definition]) ).
fof(f467,plain,
( occurrence_of(sK16(sK14(sK17)),tptp1)
| ~ spl18_21 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f468,plain,
( spl18_21
| spl18_20 ),
inference(avatar_split_clause,[],[f457,f462,f466]) ).
fof(f470,plain,
( ~ subactivity_occurrence(sK14(sK17),sK17)
| ~ spl18_20 ),
inference(resolution,[],[f463,f205]) ).
fof(f472,plain,
( ~ occurrence_of(sK17,tptp0)
| ~ spl18_20 ),
inference(resolution,[],[f470,f274]) ).
fof(f474,plain,
( $false
| ~ spl18_20 ),
inference(forward_subsumption_resolution,[],[f472,f205]) ).
fof(f475,plain,
~ spl18_20,
inference(avatar_contradiction_clause,[],[f474]) ).
fof(f478,plain,
( ! [X0] :
( ~ occurrence_of(sK16(sK14(sK17)),X0)
| tptp1 = X0 )
| ~ spl18_21 ),
inference(resolution,[],[f467,f166]) ).
fof(f481,plain,
( min_precedes(sK14(sK17),sK16(sK14(sK17)),tptp0)
| ~ spl18_19 ),
inference(resolution,[],[f460,f128]) ).
fof(f486,plain,
( ! [X0] :
( ~ root_occ(sK16(sK14(sK17)),X0)
| ~ occurrence_of(X0,tptp0) )
| ~ spl18_19 ),
inference(resolution,[],[f481,f164]) ).
fof(f488,plain,
( occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),tptp0)
| ~ spl18_19 ),
inference(resolution,[],[f481,f171]) ).
fof(f491,plain,
( occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),sK2(sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))))
| ~ spl18_19 ),
inference(resolution,[],[f488,f209]) ).
fof(f492,plain,
( ! [X0,X1] :
( atomic(X0)
| ~ leaf_occ(X1,sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))
| sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))) = X1
| ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),X0) )
| ~ spl18_19 ),
inference(resolution,[],[f488,f229]) ).
fof(f497,plain,
( ! [X0] :
( ~ min_precedes(sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),X0,tptp0)
| ~ min_precedes(X0,sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),tptp0) )
| ~ spl18_19 ),
inference(resolution,[],[f488,f287]) ).
fof(f499,plain,
( occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),sK1(sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))))
| ~ spl18_19 ),
inference(resolution,[],[f488,f315]) ).
fof(f502,plain,
( ! [X0] :
( ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),X0)
| tptp0 = X0 )
| ~ spl18_19 ),
inference(resolution,[],[f488,f166]) ).
fof(f518,definition,
( spl18_26
<=> ! [X1] :
( ~ leaf_occ(X1,sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))
| sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))) = X1 ) ),
introduced(definition,[new_symbols(definition,[spl18_26])],[avatar_definition]) ).
fof(f519,plain,
( ! [X1] :
( ~ leaf_occ(X1,sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))
| sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))) = X1 )
| ~ spl18_26 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f521,definition,
( spl18_27
<=> ! [X0] :
( atomic(X0)
| ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),X0) ) ),
introduced(definition,[new_symbols(definition,[spl18_27])],[avatar_definition]) ).
fof(f522,plain,
( ! [X0] :
( ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),X0)
| atomic(X0) )
| ~ spl18_27 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f523,plain,
( spl18_26
| spl18_27
| ~ spl18_19 ),
inference(avatar_split_clause,[],[f492,f459,f521,f518]) ).
fof(f564,plain,
( tptp0 = sK1(sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))
| ~ spl18_19 ),
inference(resolution,[],[f502,f499]) ).
fof(f565,plain,
( tptp0 = sK2(sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))
| ~ spl18_19 ),
inference(resolution,[],[f502,f491]) ).
fof(f596,plain,
( root(sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),tptp0)
| ~ root_occ(sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))
| ~ spl18_19 ),
inference(superposition,[],[f139,f564]) ).
fof(f598,definition,
( spl18_28
<=> root_occ(sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))) ),
introduced(definition,[new_symbols(definition,[spl18_28])],[avatar_definition]) ).
fof(f599,plain,
( ~ root_occ(sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))
| spl18_28 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f601,definition,
( spl18_29
<=> root(sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),tptp0) ),
introduced(definition,[new_symbols(definition,[spl18_29])],[avatar_definition]) ).
fof(f602,plain,
( root(sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),tptp0)
| ~ spl18_29 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f603,plain,
( ~ spl18_28
| spl18_29
| ~ spl18_19 ),
inference(avatar_split_clause,[],[f596,f459,f601,f598]) ).
fof(f605,plain,
( ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),tptp0)
| spl18_28 ),
inference(resolution,[],[f599,f189]) ).
fof(f607,plain,
( $false
| ~ spl18_19
| spl18_28 ),
inference(forward_subsumption_resolution,[],[f605,f488]) ).
fof(f608,plain,
( ~ spl18_19
| spl18_28 ),
inference(avatar_contradiction_clause,[],[f607]) ).
fof(f611,plain,
( ! [X0] : ~ min_precedes(X0,sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),tptp0)
| ~ spl18_29 ),
inference(resolution,[],[f602,f134]) ).
fof(f615,plain,
( leaf(sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),tptp0)
| ~ leaf_occ(sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))
| ~ spl18_19 ),
inference(superposition,[],[f143,f565]) ).
fof(f617,definition,
( spl18_30
<=> leaf_occ(sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))) ),
introduced(definition,[new_symbols(definition,[spl18_30])],[avatar_definition]) ).
fof(f618,plain,
( ~ leaf_occ(sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))
| spl18_30 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f620,definition,
( spl18_31
<=> leaf(sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),tptp0) ),
introduced(definition,[new_symbols(definition,[spl18_31])],[avatar_definition]) ).
fof(f621,plain,
( leaf(sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),tptp0)
| ~ spl18_31 ),
inference(avatar_component_clause,[],[f620]) ).
fof(f622,plain,
( ~ spl18_30
| spl18_31
| ~ spl18_19 ),
inference(avatar_split_clause,[],[f615,f459,f620,f617]) ).
fof(f628,plain,
( ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),tptp0)
| spl18_30 ),
inference(resolution,[],[f618,f187]) ).
fof(f630,plain,
( $false
| ~ spl18_19
| spl18_30 ),
inference(forward_subsumption_resolution,[],[f628,f488]) ).
fof(f631,plain,
( ~ spl18_19
| spl18_30 ),
inference(avatar_contradiction_clause,[],[f630]) ).
fof(f633,plain,
! [X0] :
( arboreal(sK15(X0))
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f312,f188]) ).
fof(f641,plain,
( arboreal(sK16(sK14(sK17)))
| ~ spl18_19 ),
inference(resolution,[],[f131,f460]) ).
fof(f643,plain,
( ! [X2,X0,X1] :
( ~ subactivity_occurrence(sK16(sK14(sK17)),X2)
| sK16(sK14(sK17)) = X0
| ~ occurrence_of(X2,X1)
| ~ arboreal(X0)
| min_precedes(X0,sK16(sK14(sK17)),X1)
| ~ subactivity_occurrence(X0,X2)
| min_precedes(sK16(sK14(sK17)),X0,X1) )
| ~ spl18_19 ),
inference(resolution,[],[f641,f180]) ).
fof(f645,plain,
( ! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK16(sK14(sK17)),X0)
| next_subocc(sK16(sK14(sK17)),sK16(sK16(sK14(sK17))),tptp0)
| leaf_occ(sK16(sK14(sK17)),X0) )
| ~ spl18_19 ),
inference(resolution,[],[f641,f203]) ).
fof(f647,definition,
( spl18_33
<=> next_subocc(sK16(sK14(sK17)),sK16(sK16(sK14(sK17))),tptp0) ),
introduced(definition,[new_symbols(definition,[spl18_33])],[avatar_definition]) ).
fof(f648,plain,
( next_subocc(sK16(sK14(sK17)),sK16(sK16(sK14(sK17))),tptp0)
| ~ spl18_33 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f650,definition,
( spl18_34
<=> ! [X0] :
( ~ occurrence_of(X0,tptp0)
| leaf_occ(sK16(sK14(sK17)),X0)
| ~ subactivity_occurrence(sK16(sK14(sK17)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl18_34])],[avatar_definition]) ).
fof(f651,plain,
( ! [X0] :
( ~ subactivity_occurrence(sK16(sK14(sK17)),X0)
| leaf_occ(sK16(sK14(sK17)),X0)
| ~ occurrence_of(X0,tptp0) )
| ~ spl18_34 ),
inference(avatar_component_clause,[],[f650]) ).
fof(f652,plain,
( spl18_33
| spl18_34
| ~ spl18_19 ),
inference(avatar_split_clause,[],[f645,f459,f650,f647]) ).
fof(f657,plain,
( ! [X0,X1] :
( ~ occurrence_of(sK8(X0,X1,sK16(sK14(sK17))),tptp0)
| leaf_occ(sK16(sK14(sK17)),sK8(X0,X1,sK16(sK14(sK17))))
| ~ min_precedes(X1,sK16(sK14(sK17)),X0) )
| ~ spl18_34 ),
inference(resolution,[],[f651,f169]) ).
fof(f659,plain,
( ! [X2,X3,X0,X1] :
( ~ min_precedes(X2,sK16(sK14(sK17)),X1)
| ~ occurrence_of(sK8(X1,X2,sK16(sK14(sK17))),X3)
| ~ arboreal(X0)
| min_precedes(X0,sK16(sK14(sK17)),X3)
| ~ subactivity_occurrence(X0,sK8(X1,X2,sK16(sK14(sK17))))
| min_precedes(sK16(sK14(sK17)),X0,X3)
| sK16(sK14(sK17)) = X0 )
| ~ spl18_19 ),
inference(resolution,[],[f643,f169]) ).
fof(f661,plain,
( leaf_occ(sK16(sK14(sK17)),sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))
| ~ min_precedes(sK14(sK17),sK16(sK14(sK17)),tptp0)
| ~ spl18_19
| ~ spl18_34 ),
inference(resolution,[],[f657,f488]) ).
fof(f662,plain,
( leaf_occ(sK16(sK14(sK17)),sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))
| ~ spl18_19
| ~ spl18_34 ),
inference(forward_subsumption_resolution,[],[f661,f481]) ).
fof(f663,plain,
( sK16(sK14(sK17)) = sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))
| ~ spl18_19
| ~ spl18_26
| ~ spl18_34 ),
inference(resolution,[],[f662,f519]) ).
fof(f678,plain,
( occurrence_of(sK16(sK14(sK17)),tptp3)
| ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),tptp0)
| ~ spl18_19
| ~ spl18_26
| ~ spl18_34 ),
inference(superposition,[],[f188,f663]) ).
fof(f683,plain,
( occurrence_of(sK16(sK14(sK17)),tptp3)
| ~ spl18_19
| ~ spl18_26
| ~ spl18_34 ),
inference(forward_subsumption_resolution,[],[f678,f488]) ).
fof(f689,plain,
( tptp3 = tptp1
| ~ spl18_19
| ~ spl18_21
| ~ spl18_26
| ~ spl18_34 ),
inference(resolution,[],[f683,f478]) ).
fof(f697,plain,
( $false
| ~ spl18_19
| ~ spl18_21
| ~ spl18_26
| ~ spl18_34 ),
inference(forward_subsumption_resolution,[],[f689,f200]) ).
fof(f698,plain,
( ~ spl18_19
| ~ spl18_21
| ~ spl18_26
| ~ spl18_34 ),
inference(avatar_contradiction_clause,[],[f697]) ).
fof(f705,plain,
( atomic(sK1(sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))))
| ~ spl18_19
| ~ spl18_27 ),
inference(resolution,[],[f522,f499]) ).
fof(f709,plain,
( atomic(tptp0)
| ~ spl18_19
| ~ spl18_27 ),
inference(forward_demodulation,[],[f705,f564]) ).
fof(f714,plain,
( $false
| ~ spl18_19
| ~ spl18_27 ),
inference(forward_subsumption_resolution,[],[f709,f192]) ).
fof(f715,plain,
( ~ spl18_19
| ~ spl18_27 ),
inference(avatar_contradiction_clause,[],[f714]) ).
fof(f722,plain,
( min_precedes(sK16(sK14(sK17)),sK16(sK16(sK14(sK17))),tptp0)
| ~ spl18_33 ),
inference(resolution,[],[f648,f128]) ).
fof(f727,plain,
( ! [X0] :
( ~ leaf_occ(sK16(sK14(sK17)),X0)
| ~ occurrence_of(X0,tptp0) )
| ~ spl18_33 ),
inference(resolution,[],[f722,f165]) ).
fof(f1938,plain,
( ! [X0,X1] :
( ~ subactivity_occurrence(X1,sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))
| ~ arboreal(X1)
| min_precedes(X1,sK16(sK14(sK17)),X0)
| ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),X0)
| min_precedes(sK16(sK14(sK17)),X1,X0)
| sK16(sK14(sK17)) = X1 )
| ~ spl18_19 ),
inference(resolution,[],[f659,f481]) ).
fof(f1941,plain,
( ! [X0] :
( ~ arboreal(sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))))
| min_precedes(sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK16(sK14(sK17)),X0)
| ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),X0)
| min_precedes(sK16(sK14(sK17)),sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),X0)
| sK16(sK14(sK17)) = sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))
| ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),tptp0) )
| ~ spl18_19 ),
inference(resolution,[],[f1938,f274]) ).
fof(f1942,plain,
( ! [X0] :
( ~ arboreal(sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))))
| min_precedes(sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK16(sK14(sK17)),X0)
| ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),X0)
| min_precedes(sK16(sK14(sK17)),sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),X0)
| sK16(sK14(sK17)) = sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))
| ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),tptp0) )
| ~ spl18_19 ),
inference(resolution,[],[f1938,f208]) ).
fof(f1944,plain,
( ! [X0] :
( min_precedes(sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK16(sK14(sK17)),X0)
| ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),X0)
| min_precedes(sK16(sK14(sK17)),sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),X0)
| sK16(sK14(sK17)) = sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))
| ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),tptp0) )
| ~ spl18_19 ),
inference(forward_subsumption_resolution,[],[f1942,f633]) ).
fof(f1945,plain,
( ! [X0] :
( min_precedes(sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK16(sK14(sK17)),X0)
| ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),X0)
| min_precedes(sK16(sK14(sK17)),sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),X0)
| sK16(sK14(sK17)) = sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))
| ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),tptp0) )
| ~ spl18_19 ),
inference(forward_subsumption_resolution,[],[f1941,f450]) ).
fof(f1947,plain,
( ! [X0] :
( min_precedes(sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK16(sK14(sK17)),X0)
| ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),X0)
| min_precedes(sK16(sK14(sK17)),sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),X0)
| sK16(sK14(sK17)) = sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))) )
| ~ spl18_19 ),
inference(forward_subsumption_resolution,[],[f1944,f488]) ).
fof(f1948,plain,
( ! [X0] :
( min_precedes(sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK16(sK14(sK17)),X0)
| ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),X0)
| min_precedes(sK16(sK14(sK17)),sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),X0)
| sK16(sK14(sK17)) = sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))) )
| ~ spl18_19 ),
inference(forward_subsumption_resolution,[],[f1945,f488]) ).
fof(f1951,definition,
( spl18_94
<=> sK16(sK14(sK17)) = sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))) ),
introduced(definition,[new_symbols(definition,[spl18_94])],[avatar_definition]) ).
fof(f1952,plain,
( sK16(sK14(sK17)) = sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))
| ~ spl18_94 ),
inference(avatar_component_clause,[],[f1951]) ).
fof(f1954,definition,
( spl18_95
<=> ! [X0] :
( min_precedes(sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK16(sK14(sK17)),X0)
| min_precedes(sK16(sK14(sK17)),sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),X0)
| ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),X0) ) ),
introduced(definition,[new_symbols(definition,[spl18_95])],[avatar_definition]) ).
fof(f1955,plain,
( ! [X0] :
( ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),X0)
| min_precedes(sK16(sK14(sK17)),sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),X0)
| min_precedes(sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK16(sK14(sK17)),X0) )
| ~ spl18_95 ),
inference(avatar_component_clause,[],[f1954]) ).
fof(f1956,plain,
( spl18_94
| spl18_95
| ~ spl18_19 ),
inference(avatar_split_clause,[],[f1947,f459,f1954,f1951]) ).
fof(f1958,definition,
( spl18_96
<=> sK16(sK14(sK17)) = sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))) ),
introduced(definition,[new_symbols(definition,[spl18_96])],[avatar_definition]) ).
fof(f1959,plain,
( sK16(sK14(sK17)) = sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))
| ~ spl18_96 ),
inference(avatar_component_clause,[],[f1958]) ).
fof(f1961,definition,
( spl18_97
<=> ! [X0] :
( min_precedes(sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK16(sK14(sK17)),X0)
| min_precedes(sK16(sK14(sK17)),sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),X0)
| ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),X0) ) ),
introduced(definition,[new_symbols(definition,[spl18_97])],[avatar_definition]) ).
fof(f1962,plain,
( ! [X0] :
( ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),X0)
| min_precedes(sK16(sK14(sK17)),sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),X0)
| min_precedes(sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK16(sK14(sK17)),X0) )
| ~ spl18_97 ),
inference(avatar_component_clause,[],[f1961]) ).
fof(f1963,plain,
( spl18_96
| spl18_97
| ~ spl18_19 ),
inference(avatar_split_clause,[],[f1948,f459,f1961,f1958]) ).
fof(f2236,plain,
( leaf_occ(sK16(sK14(sK17)),sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))
| ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),tptp0)
| ~ spl18_94 ),
inference(superposition,[],[f187,f1952]) ).
fof(f2237,plain,
( ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),tptp0)
| ~ spl18_33
| ~ spl18_94 ),
inference(forward_subsumption_resolution,[],[f2236,f727]) ).
fof(f2246,plain,
( $false
| ~ spl18_19
| ~ spl18_33
| ~ spl18_94 ),
inference(forward_subsumption_resolution,[],[f2237,f488]) ).
fof(f2247,plain,
( ~ spl18_19
| ~ spl18_33
| ~ spl18_94 ),
inference(avatar_contradiction_clause,[],[f2246]) ).
fof(f2261,plain,
( root_occ(sK16(sK14(sK17)),sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))
| ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),tptp0)
| ~ spl18_96 ),
inference(superposition,[],[f189,f1959]) ).
fof(f2262,plain,
( ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),tptp0)
| ~ spl18_19
| ~ spl18_96 ),
inference(forward_subsumption_resolution,[],[f2261,f486]) ).
fof(f2267,plain,
( $false
| ~ spl18_19
| ~ spl18_96 ),
inference(forward_subsumption_resolution,[],[f2262,f488]) ).
fof(f2268,plain,
( ~ spl18_19
| ~ spl18_96 ),
inference(avatar_contradiction_clause,[],[f2267]) ).
fof(f2283,plain,
( min_precedes(sK16(sK14(sK17)),sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK1(sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))))
| min_precedes(sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK16(sK14(sK17)),sK1(sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))))
| ~ spl18_19
| ~ spl18_95 ),
inference(resolution,[],[f1955,f499]) ).
fof(f2288,plain,
( min_precedes(sK16(sK14(sK17)),sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),tptp0)
| min_precedes(sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK16(sK14(sK17)),sK1(sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))))
| ~ spl18_19
| ~ spl18_95 ),
inference(forward_demodulation,[],[f2283,f564]) ).
fof(f2290,definition,
( spl18_100
<=> min_precedes(sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK16(sK14(sK17)),tptp0) ),
introduced(definition,[new_symbols(definition,[spl18_100])],[avatar_definition]) ).
fof(f2291,plain,
( min_precedes(sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK16(sK14(sK17)),tptp0)
| ~ spl18_100 ),
inference(avatar_component_clause,[],[f2290]) ).
fof(f2293,definition,
( spl18_101
<=> min_precedes(sK16(sK14(sK17)),sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),tptp0) ),
introduced(definition,[new_symbols(definition,[spl18_101])],[avatar_definition]) ).
fof(f2294,plain,
( min_precedes(sK16(sK14(sK17)),sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),tptp0)
| ~ spl18_101 ),
inference(avatar_component_clause,[],[f2293]) ).
fof(f2298,plain,
( min_precedes(sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK16(sK14(sK17)),tptp0)
| min_precedes(sK16(sK14(sK17)),sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),tptp0)
| ~ spl18_19
| ~ spl18_95 ),
inference(forward_demodulation,[],[f2288,f564]) ).
fof(f2301,plain,
( spl18_101
| spl18_100
| ~ spl18_19
| ~ spl18_95 ),
inference(avatar_split_clause,[],[f2298,f1954,f459,f2290,f2293]) ).
fof(f2310,plain,
( ~ leaf(sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),tptp0)
| ~ spl18_100 ),
inference(resolution,[],[f2291,f150]) ).
fof(f2317,plain,
( $false
| ~ spl18_31
| ~ spl18_100 ),
inference(forward_subsumption_resolution,[],[f2310,f621]) ).
fof(f2318,plain,
( ~ spl18_31
| ~ spl18_100 ),
inference(avatar_contradiction_clause,[],[f2317]) ).
fof(f2328,plain,
( min_precedes(sK16(sK14(sK17)),sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),tptp0)
| min_precedes(sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK16(sK14(sK17)),tptp0)
| ~ spl18_19
| ~ spl18_97 ),
inference(resolution,[],[f1962,f488]) ).
fof(f2335,plain,
( min_precedes(sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK16(sK14(sK17)),tptp0)
| ~ spl18_19
| ~ spl18_29
| ~ spl18_97 ),
inference(forward_subsumption_resolution,[],[f2328,f611]) ).
fof(f2344,plain,
( ~ min_precedes(sK16(sK14(sK17)),sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),tptp0)
| ~ spl18_19
| ~ spl18_29
| ~ spl18_97 ),
inference(resolution,[],[f2335,f497]) ).
fof(f2360,plain,
( $false
| ~ spl18_19
| ~ spl18_29
| ~ spl18_97
| ~ spl18_101 ),
inference(forward_subsumption_resolution,[],[f2344,f2294]) ).
fof(f2361,plain,
( ~ spl18_19
| ~ spl18_29
| ~ spl18_97
| ~ spl18_101 ),
inference(avatar_contradiction_clause,[],[f2360]) ).
cnf(s27,plain,
( spl18_19
| spl18_20 ),
inference(sat_conversion,[],[f464]) ).
cnf(s28,plain,
( spl18_20
| spl18_21 ),
inference(sat_conversion,[],[f468]) ).
cnf(s30,plain,
~ spl18_20,
inference(sat_conversion,[],[f475]) ).
cnf(s33,plain,
( ~ spl18_19
| spl18_26
| spl18_27 ),
inference(sat_conversion,[],[f523]) ).
cnf(s39,plain,
( ~ spl18_19
| ~ spl18_28
| spl18_29 ),
inference(sat_conversion,[],[f603]) ).
cnf(s41,plain,
( ~ spl18_19
| spl18_28 ),
inference(sat_conversion,[],[f608]) ).
cnf(s42,plain,
( ~ spl18_19
| ~ spl18_30
| spl18_31 ),
inference(sat_conversion,[],[f622]) ).
cnf(s45,plain,
( ~ spl18_19
| spl18_30 ),
inference(sat_conversion,[],[f631]) ).
cnf(s46,plain,
( ~ spl18_19
| spl18_33
| spl18_34 ),
inference(sat_conversion,[],[f652]) ).
cnf(s52,plain,
( ~ spl18_19
| ~ spl18_21
| ~ spl18_26
| ~ spl18_34 ),
inference(sat_conversion,[],[f698]) ).
cnf(s56,plain,
( ~ spl18_19
| ~ spl18_27 ),
inference(sat_conversion,[],[f715]) ).
cnf(s104,plain,
( ~ spl18_19
| spl18_94
| spl18_95 ),
inference(sat_conversion,[],[f1956]) ).
cnf(s105,plain,
( ~ spl18_19
| spl18_96
| spl18_97 ),
inference(sat_conversion,[],[f1963]) ).
cnf(s116,plain,
( ~ spl18_19
| ~ spl18_33
| ~ spl18_94 ),
inference(sat_conversion,[],[f2247]) ).
cnf(s118,plain,
( ~ spl18_19
| ~ spl18_96 ),
inference(sat_conversion,[],[f2268]) ).
cnf(s122,plain,
( ~ spl18_19
| ~ spl18_95
| spl18_100
| spl18_101 ),
inference(sat_conversion,[],[f2301]) ).
cnf(s124,plain,
( ~ spl18_31
| ~ spl18_100 ),
inference(sat_conversion,[],[f2318]) ).
cnf(s127,plain,
( ~ spl18_19
| ~ spl18_29
| ~ spl18_97
| ~ spl18_101 ),
inference(sat_conversion,[],[f2361]) ).
cnf(s128,plain,
spl18_21,
inference(rat,[],[s28,s30]) ).
cnf(s129,plain,
spl18_19,
inference(rat,[],[s27,s30]) ).
cnf(s130,plain,
~ spl18_96,
inference(rat,[],[s118,s129]) ).
cnf(s132,plain,
~ spl18_27,
inference(rat,[],[s56,s129]) ).
cnf(s133,plain,
spl18_30,
inference(rat,[],[s45,s129]) ).
cnf(s134,plain,
spl18_28,
inference(rat,[],[s41,s129]) ).
cnf(s136,plain,
spl18_26,
inference(rat,[],[s33,s132,s129]) ).
cnf(s137,plain,
spl18_97,
inference(rat,[],[s105,s129,s130]) ).
cnf(s140,plain,
spl18_31,
inference(rat,[],[s42,s129,s133]) ).
cnf(s141,plain,
spl18_29,
inference(rat,[],[s39,s129,s134]) ).
cnf(s143,plain,
~ spl18_34,
inference(rat,[],[s52,s129,s128,s136]) ).
cnf(s144,plain,
~ spl18_100,
inference(rat,[],[s124,s140]) ).
cnf(s145,plain,
~ spl18_101,
inference(rat,[],[s127,s137,s129,s141]) ).
cnf(s147,plain,
spl18_33,
inference(rat,[],[s46,s129,s143]) ).
cnf(s148,plain,
~ spl18_95,
inference(rat,[],[s122,s145,s129,s144]) ).
cnf(s149,plain,
~ spl18_94,
inference(rat,[],[s116,s129,s147]) ).
cnf(s156,plain,
$false,
inference(rat,[],[s104,s129,s148,s149]) ).
fof(f2362,plain,
$false,
inference(avatar_sat_refutation,[],[s156]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO006+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n016.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 22:21:48 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 5.43/1.70 % (3052067)Detected formulas, will run a generic FOF schedule.
% 5.43/1.70 % (3052073)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=2915104713:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.43/1.70 % (3052075)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1674639365:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.43/1.70 % (3052077)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=424370375:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.43/1.70 % (3052078)dis-21_1_sil=8000:lcm=predicate:random_seed=3191460314:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 5.43/1.70 % (3052072)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=1413397621:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.43/1.70 % (3052074)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=2633371493:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.43/1.70 % (3052075)Refutation not found, incomplete strategy
% 5.43/1.70 % (3052075)------------------------------
% 5.43/1.70 % (3052075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.43/1.70 % (3052075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/1.70 % (3052075)CaDiCaL version: 2.1.3
% 5.43/1.70 % (3052075)Termination reason: Refutation not found, incomplete strategy
% 5.43/1.70 % (3052075)Time elapsed: 0.001 s
% 5.43/1.70 % (3052075)Peak memory usage: 86 MB
% 5.43/1.70 % (3052076)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4023470501:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.43/1.70 % (3052076)Refutation not found, incomplete strategy
% 5.43/1.70 % (3052076)------------------------------
% 5.43/1.70 % (3052076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.43/1.70 % (3052076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/1.70 % (3052076)CaDiCaL version: 2.1.3
% 5.43/1.70 % (3052076)Termination reason: Refutation not found, incomplete strategy
% 5.43/1.70 % (3052076)Time elapsed: 0.0000 s
% 5.43/1.70 % (3052076)Peak memory usage: 86 MB
% 5.43/1.70 % (3052078)Instruction limit reached!
% 5.43/1.70 % (3052078)------------------------------
% 5.43/1.70 % (3052078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.43/1.70 % (3052078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/1.70 % (3052078)CaDiCaL version: 2.1.3
% 5.43/1.70 % (3052078)Termination reason: Instruction limit
% 5.43/1.70 % (3052078)Termination phase: Saturation
% 5.43/1.70 % (3052078)Time elapsed: 0.074 s
% 5.43/1.70 % (3052078)Peak memory usage: 89 MB
% 5.43/1.70 % (3052078)Instructions burned: 130 (million)
% 5.43/1.70 % (3052077)Instruction limit reached!
% 5.43/1.70 % (3052077)------------------------------
% 5.43/1.70 % (3052077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.43/1.70 % (3052077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/1.70 % (3052077)CaDiCaL version: 2.1.3
% 5.43/1.70 % (3052077)Termination reason: Instruction limit
% 5.43/1.70 % (3052077)Termination phase: Saturation
% 5.43/1.70 % (3052077)Time elapsed: 0.103 s
% 5.43/1.70 % (3052077)Peak memory usage: 90 MB
% 5.43/1.70 % (3052077)Instructions burned: 141 (million)
% 5.43/1.70 % (3052086)lrs+10_1_sil=8000:sp=occurrence:random_seed=3048044592:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.43/1.70 % (3052075)------------------------------
% 5.43/1.70 % (3052075)------------------------------
% 5.43/1.70 % (3052076)------------------------------
% 5.43/1.70 % (3052076)------------------------------
% 5.43/1.70 % (3052087)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1251091171:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.43/1.70 % (3052087)Refutation not found, incomplete strategy
% 5.43/1.70 % (3052087)------------------------------
% 5.43/1.70 % (3052087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.43/1.70 % (3052087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/1.70 % (3052087)CaDiCaL version: 2.1.3
% 5.43/1.70 % (3052087)Termination reason: Refutation not found, incomplete strategy
% 5.43/1.70 % (3052087)Time elapsed: 0.001 s
% 5.43/1.70 % (3052087)Peak memory usage: 88 MB
% 5.43/1.70 % (3052089)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2188985117:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 5.43/1.70 % (3052090)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=3887457740:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 5.43/1.70 % (3052086)Instruction limit reached!
% 5.43/1.70 % (3052086)------------------------------
% 5.43/1.70 % (3052086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.43/1.70 % (3052086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/1.70 % (3052086)CaDiCaL version: 2.1.3
% 5.43/1.70 % (3052086)Termination reason: Instruction limit
% 5.43/1.70 % (3052086)Termination phase: Saturation
% 5.43/1.70 % (3052086)Time elapsed: 0.184 s
% 5.43/1.70 % (3052086)Peak memory usage: 91 MB
% 5.43/1.70 % (3052086)Instructions burned: 286 (million)
% 5.43/1.70 % (3052089)Instruction limit reached!
% 5.43/1.70 % (3052089)------------------------------
% 5.43/1.70 % (3052089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.43/1.70 % (3052089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/1.70 % (3052089)CaDiCaL version: 2.1.3
% 5.43/1.70 % (3052089)Termination reason: Instruction limit
% 5.43/1.70 % (3052089)Termination phase: Saturation
% 5.43/1.70 % (3052089)Time elapsed: 0.103 s
% 5.43/1.70 % (3052089)Peak memory usage: 91 MB
% 5.43/1.70 % (3052089)Instructions burned: 329 (million)
% 5.43/1.70 % (3052087)------------------------------
% 5.43/1.70 % (3052087)------------------------------
% 5.43/1.70 % (3052090)Instruction limit reached!
% 5.43/1.70 % (3052090)------------------------------
% 5.43/1.70 % (3052090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.43/1.70 % (3052090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/1.70 % (3052090)CaDiCaL version: 2.1.3
% 5.43/1.70 % (3052090)Termination reason: Instruction limit
% 5.43/1.70 % (3052090)Termination phase: Saturation
% 5.43/1.70 % (3052090)Time elapsed: 0.151 s
% 5.43/1.70 % (3052090)Peak memory usage: 90 MB
% 5.43/1.70 % (3052090)Instructions burned: 249 (million)
% 5.43/1.70 % (3052094)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3552052086:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 5.43/1.70 % (3052095)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2094467668:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 5.43/1.70 % (3052073)First to succeed.
% 5.43/1.70 % (3052073)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3052067"
% 5.43/1.70 % (3052097)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1302591369:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 5.43/1.70 % (3052098)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4253793095:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 5.43/1.70 % (3052094)Instruction limit reached!
% 5.43/1.70 % (3052094)------------------------------
% 5.43/1.70 % (3052094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.43/1.70 % (3052094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/1.70 % (3052094)CaDiCaL version: 2.1.3
% 5.43/1.70 % (3052094)Termination reason: Instruction limit
% 5.43/1.70 % (3052094)Termination phase: Saturation
% 5.43/1.70 % (3052094)Time elapsed: 0.163 s
% 5.43/1.70 % (3052094)Peak memory usage: 88 MB
% 5.43/1.70 % (3052094)Instructions burned: 295 (million)
% 5.43/1.70 % (3052098)Instruction limit reached!
% 5.43/1.70 % (3052098)------------------------------
% 5.43/1.70 % (3052098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.43/1.70 % (3052098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/1.70 % (3052098)CaDiCaL version: 2.1.3
% 5.43/1.70 % (3052098)Termination reason: Instruction limit
% 5.43/1.70 % (3052098)Termination phase: Saturation
% 5.43/1.70 % (3052098)Time elapsed: 0.068 s
% 5.43/1.70 % (3052098)Peak memory usage: 89 MB
% 5.43/1.70 % (3052098)Instructions burned: 128 (million)
% 5.43/1.70 % (3052097)Instruction limit reached!
% 5.43/1.70 % (3052097)------------------------------
% 5.43/1.70 % (3052097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.43/1.70 % (3052097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/1.70 % (3052097)CaDiCaL version: 2.1.3
% 5.43/1.70 % (3052097)Termination reason: Instruction limit
% 5.43/1.70 % (3052097)Termination phase: Saturation
% 5.43/1.70 % (3052097)Time elapsed: 0.085 s
% 5.43/1.70 % (3052097)Peak memory usage: 90 MB
% 5.43/1.70 % (3052097)Instructions burned: 113 (million)
% 5.43/1.70 % (3052103)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3755433058:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 5.43/1.70 % (3052103)Refutation not found, incomplete strategy
% 5.43/1.70 % (3052103)------------------------------
% 5.43/1.70 % (3052103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.43/1.70 % (3052103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/1.70 % (3052103)CaDiCaL version: 2.1.3
% 5.43/1.70 % (3052103)Termination reason: Refutation not found, incomplete strategy
% 5.43/1.70 % (3052103)Time elapsed: 0.001 s
% 5.43/1.70 % (3052103)Peak memory usage: 87 MB
% 5.43/1.70 % (3052104)lrs+10_1_sil=8000:sp=occurrence:random_seed=1862805060:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 5.43/1.70 % (3052105)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3429516978:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 5.43/1.70 % (3052105)Refutation not found, incomplete strategy
% 5.43/1.70 % (3052105)------------------------------
% 5.43/1.70 % (3052105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.43/1.70 % (3052073)Refutation found. Thanks to Tanya!
% 5.43/1.70 % SZS status Theorem for theBenchmark
% 5.43/1.70 % SZS output start Proof for theBenchmark
% See solution above
% 5.43/1.79 % (3052073)------------------------------
% 5.43/1.79 % (3052073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.43/1.79 % (3052073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/1.79 % (3052073)CaDiCaL version: 2.1.3
% 5.43/1.79 % (3052073)Termination reason: Refutation
% 5.43/1.79 % (3052073)Time elapsed: 0.650 s
% 5.43/1.79 % (3052073)Peak memory usage: 132 MB
% 5.43/1.79 % (3052073)Instructions burned: 1277 (million)
% 5.43/1.79 % (3052073)------------------------------
% 5.43/1.79 % (3052073)------------------------------
% 5.43/1.79 % (3052067)Success in time 1.008 s
% 5.43/1.79 % Vampire exiting
%------------------------------------------------------------------------------