%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PRO003+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:31:32 PM UTC 2026
% Result : Theorem 139.57s 40.96s
% Output : CNFRefutation 139.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 23
% Syntax : Number of formulae : 252 ( 45 unt; 0 def)
% Number of atoms : 766 ( 84 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 910 ( 396 ~; 409 |; 87 &)
% ( 8 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-3 aty)
% Number of variables : 425 ( 0 sgn 390 !; 35 ?; 186 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
<=> ( ~ ? [X3] :
( min_precedes(X3,X1,X2)
& min_precedes(X0,X3,X2) )
& min_precedes(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).
fof(f11,axiom,
! [X0,X1] :
( root_occ(X0,X1)
<=> ? [X2] :
( root(X0,X2)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_10) ).
fof(f12,axiom,
! [X0,X1] :
( leaf_occ(X0,X1)
<=> ? [X2] :
( leaf(X0,X2)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,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)
<=> ( ~ ? [X3] : min_precedes(X0,X3,X1)
& ( ? [X2] : min_precedes(X2,X0,X1)
| root(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_14) ).
fof(f19,axiom,
! [X0] :
( activity_occurrence(X0)
=> ? [X1] :
( occurrence_of(X0,X1)
& activity(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_18) ).
fof(f21,axiom,
! [X0,X1,X2] :
( ( root_occ(X1,X0)
& occurrence_of(X0,X2) )
=> ~ ? [X3] : min_precedes(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_20) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( leaf_occ(X1,X0)
& occurrence_of(X0,X2) )
=> ~ ? [X3] : min_precedes(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_21) ).
fof(f23,axiom,
! [X0,X1,X2] :
( ( occurrence_of(X0,X2)
& occurrence_of(X0,X1) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_22) ).
fof(f25,axiom,
! [X0,X1,X2] :
( min_precedes(X1,X2,X0)
=> ? [X3] :
( subactivity_occurrence(X2,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_24) ).
fof(f29,axiom,
! [X0,X1,X2,X3] :
( ( subactivity_occurrence(X3,X1)
& subactivity_occurrence(X2,X1)
& arboreal(X3)
& arboreal(X2)
& occurrence_of(X1,X0) )
=> ( X2 = X3
| min_precedes(X3,X2,X0)
| min_precedes(X2,X3,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_28) ).
fof(f30,axiom,
! [X0,X1] :
( occurrence_of(X1,X0)
=> ( activity_occurrence(X1)
& activity(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_29) ).
fof(f33,axiom,
! [X0] :
( occurrence_of(X0,tptp0)
=> ? [X1,X2] :
( next_subocc(X1,X2,tptp0)
& leaf_occ(X2,X0)
& occurrence_of(X2,tptp3)
& root_occ(X1,X0)
& occurrence_of(X1,tptp4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).
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(f39,axiom,
atomic(tptp1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_38) ).
fof(f40,axiom,
tptp4 != tptp1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_39) ).
fof(f43,axiom,
tptp1 != tptp3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_42) ).
fof(f46,axiom,
! [X0,X1] :
( ( root_occ(X0,X1)
& occurrence_of(X1,tptp0) )
=> ? [X2] :
( next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp1) ) ),
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(f59,plain,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
<=> ( ! [X3] :
( ~ min_precedes(X3,X1,X2)
| ~ min_precedes(X0,X3,X2) )
& min_precedes(X0,X1,X2) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f66,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ( arboreal(X0)
<=> atomic(X1) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f67,plain,
! [X0,X1] :
( leaf(X0,X1)
<=> ( ! [X3] : ~ min_precedes(X0,X3,X1)
& ( ? [X2] : min_precedes(X2,X0,X1)
| root(X0,X1) ) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f71,plain,
! [X0] :
( ~ activity_occurrence(X0)
| ? [X1] :
( occurrence_of(X0,X1)
& activity(X1) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ~ root_occ(X1,X0)
| ~ occurrence_of(X0,X2)
| ! [X3] : ~ min_precedes(X3,X1,X2) ),
inference(ennf_transformation,[],[f21]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ~ root_occ(X1,X0)
| ~ occurrence_of(X0,X2)
| ! [X3] : ~ min_precedes(X3,X1,X2) ),
inference(flattening,[],[f73]) ).
fof(f75,plain,
! [X0,X1,X2] :
( ~ leaf_occ(X1,X0)
| ~ occurrence_of(X0,X2)
| ! [X3] : ~ min_precedes(X1,X3,X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f76,plain,
! [X0,X1,X2] :
( ~ leaf_occ(X1,X0)
| ~ occurrence_of(X0,X2)
| ! [X3] : ~ min_precedes(X1,X3,X2) ),
inference(flattening,[],[f75]) ).
fof(f77,plain,
! [X0,X1,X2] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(ennf_transformation,[],[f23]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(flattening,[],[f77]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ~ min_precedes(X1,X2,X0)
| ? [X3] :
( subactivity_occurrence(X2,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X0) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f86,plain,
! [X0,X1,X2,X3] :
( ~ subactivity_occurrence(X3,X1)
| ~ subactivity_occurrence(X2,X1)
| ~ arboreal(X3)
| ~ arboreal(X2)
| ~ occurrence_of(X1,X0)
| X2 = X3
| min_precedes(X3,X2,X0)
| min_precedes(X2,X3,X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f87,plain,
! [X0,X1,X2,X3] :
( ~ subactivity_occurrence(X3,X1)
| ~ subactivity_occurrence(X2,X1)
| ~ arboreal(X3)
| ~ arboreal(X2)
| ~ occurrence_of(X1,X0)
| X2 = X3
| min_precedes(X3,X2,X0)
| min_precedes(X2,X3,X0) ),
inference(flattening,[],[f86]) ).
fof(f88,plain,
! [X0,X1] :
( ~ occurrence_of(X1,X0)
| ( activity_occurrence(X1)
& activity(X0) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f92,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ? [X1,X2] :
( next_subocc(X1,X2,tptp0)
& leaf_occ(X2,X0)
& occurrence_of(X2,tptp3)
& root_occ(X1,X0)
& occurrence_of(X1,tptp4) ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f93,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ? [X2] :
( next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp1) ) ),
inference(ennf_transformation,[],[f46]) ).
fof(f94,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ? [X2] :
( next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp1) ) ),
inference(flattening,[],[f93]) ).
fof(f95,plain,
! [X0,X1,X2] :
( ( ~ next_subocc(X0,X1,X2)
| ( ! [X3] :
( ~ min_precedes(X3,X1,X2)
| ~ min_precedes(X0,X3,X2) )
& min_precedes(X0,X1,X2) ) )
& ( ? [X3] :
( min_precedes(X3,X1,X2)
& min_precedes(X0,X3,X2) )
| ~ min_precedes(X0,X1,X2)
| next_subocc(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f59]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ( ~ next_subocc(X0,X1,X2)
| ( ! [X3] :
( ~ min_precedes(X3,X1,X2)
| ~ min_precedes(X0,X3,X2) )
& min_precedes(X0,X1,X2) ) )
& ( ? [X3] :
( min_precedes(X3,X1,X2)
& min_precedes(X0,X3,X2) )
| ~ min_precedes(X0,X1,X2)
| next_subocc(X0,X1,X2) ) ),
inference(flattening,[],[f95]) ).
fof(f97,plain,
! [X0,X1,X2] :
( ( ~ next_subocc(X0,X1,X2)
| ( ! [X4] :
( ~ min_precedes(X4,X1,X2)
| ~ min_precedes(X0,X4,X2) )
& min_precedes(X0,X1,X2) ) )
& ( ? [X3] :
( min_precedes(X3,X1,X2)
& min_precedes(X0,X3,X2) )
| ~ min_precedes(X0,X1,X2)
| next_subocc(X0,X1,X2) ) ),
inference(rectify,[],[f96]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ( ~ next_subocc(X0,X1,X2)
| ( ! [X4] :
( ~ min_precedes(X4,X1,X2)
| ~ min_precedes(X0,X4,X2) )
& min_precedes(X0,X1,X2) ) )
& ( ( min_precedes(sK0(X0,X1,X2),X1,X2)
& min_precedes(X0,sK0(X0,X1,X2),X2) )
| ~ min_precedes(X0,X1,X2)
| next_subocc(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1,X2))],[f97]) ).
fof(f99,plain,
! [X0,X1] :
( ( ~ root_occ(X0,X1)
| ? [X2] :
( root(X0,X2)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X2) ) )
& ( ! [X2] :
( ~ root(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) )
| root_occ(X0,X1) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f100,plain,
! [X0,X1] :
( ( ~ root_occ(X0,X1)
| ? [X3] :
( root(X0,X3)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X3) ) )
& ( ! [X2] :
( ~ root(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) )
| root_occ(X0,X1) ) ),
inference(rectify,[],[f99]) ).
fof(f101,plain,
! [X0,X1] :
( ( ~ root_occ(X0,X1)
| ( root(X0,sK1(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK1(X0,X1)) ) )
& ( ! [X2] :
( ~ root(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) )
| 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] :
( leaf(X0,X2)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X2) ) )
& ( ! [X2] :
( ~ leaf(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) )
| leaf_occ(X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f103,plain,
! [X0,X1] :
( ( ~ leaf_occ(X0,X1)
| ? [X3] :
( leaf(X0,X3)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X3) ) )
& ( ! [X2] :
( ~ leaf(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) )
| leaf_occ(X0,X1) ) ),
inference(rectify,[],[f102]) ).
fof(f104,plain,
! [X0,X1] :
( ( ~ leaf_occ(X0,X1)
| ( leaf(X0,sK2(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK2(X0,X1)) ) )
& ( ! [X2] :
( ~ leaf(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) )
| leaf_occ(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X3,sK2(X0,X1))],[f103]) ).
fof(f105,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ( ( ~ arboreal(X0)
| atomic(X1) )
& ( ~ atomic(X1)
| arboreal(X0) ) ) ),
inference(nnf_transformation,[],[f66]) ).
fof(f106,plain,
! [X0,X1] :
( ( ~ leaf(X0,X1)
| ( ! [X3] : ~ min_precedes(X0,X3,X1)
& ( ? [X2] : min_precedes(X2,X0,X1)
| root(X0,X1) ) ) )
& ( ? [X3] : min_precedes(X0,X3,X1)
| ( ! [X2] : ~ min_precedes(X2,X0,X1)
& ~ root(X0,X1) )
| leaf(X0,X1) ) ),
inference(nnf_transformation,[],[f67]) ).
fof(f107,plain,
! [X0,X1] :
( ( ~ leaf(X0,X1)
| ( ! [X3] : ~ min_precedes(X0,X3,X1)
& ( ? [X2] : min_precedes(X2,X0,X1)
| root(X0,X1) ) ) )
& ( ? [X3] : min_precedes(X0,X3,X1)
| ( ! [X2] : ~ min_precedes(X2,X0,X1)
& ~ root(X0,X1) )
| leaf(X0,X1) ) ),
inference(flattening,[],[f106]) ).
fof(f108,plain,
! [X0,X1] :
( ( ~ leaf(X0,X1)
| ( ! [X5] : ~ min_precedes(X0,X5,X1)
& ( ? [X4] : min_precedes(X4,X0,X1)
| root(X0,X1) ) ) )
& ( ? [X3] : min_precedes(X0,X3,X1)
| ( ! [X2] : ~ min_precedes(X2,X0,X1)
& ~ root(X0,X1) )
| leaf(X0,X1) ) ),
inference(rectify,[],[f107]) ).
fof(f109,plain,
! [X0,X1] :
( ( ~ leaf(X0,X1)
| ( ! [X5] : ~ min_precedes(X0,X5,X1)
& ( min_precedes(sK4(X0,X1),X0,X1)
| root(X0,X1) ) ) )
& ( min_precedes(X0,sK3(X0,X1),X1)
| ( ! [X2] : ~ min_precedes(X2,X0,X1)
& ~ root(X0,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(f113,plain,
! [X0] :
( ~ activity_occurrence(X0)
| ( occurrence_of(X0,sK6(X0))
& activity(sK6(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X1,sK6(X0))],[f71]) ).
fof(f115,plain,
! [X0,X1,X2] :
( ~ min_precedes(X1,X2,X0)
| ( subactivity_occurrence(X2,sK8(X0,X1,X2))
& subactivity_occurrence(X1,sK8(X0,X1,X2))
& occurrence_of(sK8(X0,X1,X2),X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X3,sK8(X0,X1,X2))],[f81]) ).
fof(f120,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ( next_subocc(sK14(X0),sK15(X0),tptp0)
& leaf_occ(sK15(X0),X0)
& occurrence_of(sK15(X0),tptp3)
& root_occ(sK14(X0),X0)
& occurrence_of(sK14(X0),tptp4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15]),skolemize(X1,sK14(X0)),skolemize(X2,sK15(X0))],[f92]) ).
fof(f121,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ( next_subocc(X0,sK16(X0),tptp0)
& occurrence_of(sK16(X0),tptp1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X2,sK16(X0))],[f94]) ).
fof(f122,plain,
occurrence_of(sK17,tptp0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(X0,sK17)],[f49]) ).
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,[],[f98]) ).
fof(f128,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f98]) ).
fof(f138,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| root(X0,sK1(X0,X1)) ),
inference(cnf_transformation,[],[f101]) ).
fof(f139,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f140,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| occurrence_of(X1,sK1(X0,X1)) ),
inference(cnf_transformation,[],[f101]) ).
fof(f141,plain,
! [X2,X0,X1] :
( ~ root(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2)
| root_occ(X0,X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f142,plain,
! [X0,X1] :
( ~ leaf_occ(X0,X1)
| leaf(X0,sK2(X0,X1)) ),
inference(cnf_transformation,[],[f104]) ).
fof(f143,plain,
! [X0,X1] :
( ~ leaf_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f144,plain,
! [X0,X1] :
( ~ leaf_occ(X0,X1)
| occurrence_of(X1,sK2(X0,X1)) ),
inference(cnf_transformation,[],[f104]) ).
fof(f148,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ~ atomic(X1)
| arboreal(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f149,plain,
! [X0,X1,X5] :
( ~ leaf(X0,X1)
| ~ min_precedes(X0,X5,X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f152,plain,
! [X0,X1] :
( min_precedes(X0,sK3(X0,X1),X1)
| ~ root(X0,X1)
| leaf(X0,X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f159,plain,
! [X0] :
( ~ activity_occurrence(X0)
| occurrence_of(X0,sK6(X0)) ),
inference(cnf_transformation,[],[f113]) ).
fof(f163,plain,
! [X2,X3,X0,X1] :
( ~ root_occ(X1,X0)
| ~ occurrence_of(X0,X2)
| ~ min_precedes(X3,X1,X2) ),
inference(cnf_transformation,[],[f74]) ).
fof(f164,plain,
! [X2,X3,X0,X1] :
( ~ leaf_occ(X1,X0)
| ~ occurrence_of(X0,X2)
| ~ min_precedes(X1,X3,X2) ),
inference(cnf_transformation,[],[f76]) ).
fof(f165,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f78]) ).
fof(f168,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| subactivity_occurrence(X2,sK8(X0,X1,X2)) ),
inference(cnf_transformation,[],[f115]) ).
fof(f170,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| occurrence_of(sK8(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f179,plain,
! [X2,X3,X0,X1] :
( ~ subactivity_occurrence(X3,X1)
| ~ subactivity_occurrence(X2,X1)
| ~ arboreal(X3)
| ~ arboreal(X2)
| ~ occurrence_of(X1,X0)
| X2 = X3
| min_precedes(X3,X2,X0)
| min_precedes(X2,X3,X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f180,plain,
! [X0,X1] :
( ~ occurrence_of(X1,X0)
| activity_occurrence(X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f185,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| next_subocc(sK14(X0),sK15(X0),tptp0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f186,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| leaf_occ(sK15(X0),X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f187,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| occurrence_of(sK15(X0),tptp3) ),
inference(cnf_transformation,[],[f120]) ).
fof(f188,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| root_occ(sK14(X0),X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f189,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| occurrence_of(sK14(X0),tptp4) ),
inference(cnf_transformation,[],[f120]) ).
fof(f192,plain,
atomic(tptp4),
inference(cnf_transformation,[],[f36]) ).
fof(f193,plain,
atomic(tptp3),
inference(cnf_transformation,[],[f37]) ).
fof(f195,plain,
atomic(tptp1),
inference(cnf_transformation,[],[f39]) ).
fof(f196,plain,
tptp4 != tptp1,
inference(cnf_transformation,[],[f40]) ).
fof(f199,plain,
tptp3 != tptp1,
inference(cnf_transformation,[],[f43]) ).
fof(f202,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| ~ occurrence_of(X1,tptp0)
| next_subocc(X0,sK16(X0),tptp0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f203,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| ~ occurrence_of(X1,tptp0)
| occurrence_of(sK16(X0),tptp1) ),
inference(cnf_transformation,[],[f121]) ).
fof(f204,plain,
occurrence_of(sK17,tptp0),
inference(cnf_transformation,[],[f122]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] :
( min_precedes(X0,X1,X2)
| ~ next_subocc(X0,X1,X2) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ next_subocc(X0,X3,X2)
| ~ min_precedes(X1,X3,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] :
( root_occ(X2,X0)
| ~ subactivity_occurrence(X2,X0)
| ~ root(X2,X1)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] :
( occurrence_of(X1,sK1(X0,X1))
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( subactivity_occurrence(X0,X1)
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] :
( root(X0,sK1(X0,X1))
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i] :
( occurrence_of(X1,sK2(X0,X1))
| ~ leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i] :
( subactivity_occurrence(X0,X1)
| ~ leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] :
( leaf(X0,sK2(X0,X1))
| ~ leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i] :
( arboreal(X0)
| ~ atomic(X1)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] :
( leaf(X0,X1)
| min_precedes(X0,sK3(X0,X1),X1)
| ~ root(X0,X1) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ leaf(X0,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f149]) ).
tcf(c_86,plain,
! [X0: $i] :
( occurrence_of(X0,sK6(X0))
| ~ activity_occurrence(X0) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ root_occ(X1,X3)
| ~ occurrence_of(X3,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ leaf_occ(X0,X3)
| ~ occurrence_of(X3,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i] :
( occurrence_of(sK8(X2,X0,X1),X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i] :
( subactivity_occurrence(X1,sK8(X2,X0,X1))
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( min_precedes(X3,X2,X1)
| min_precedes(X2,X3,X1)
| ( X2 = X3 )
| ~ arboreal(X3)
| ~ arboreal(X2)
| ~ subactivity_occurrence(X3,X0)
| ~ subactivity_occurrence(X2,X0)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_107,plain,
! [X0: $i,X1: $i] :
( activity_occurrence(X0)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_111,plain,
! [X0: $i] :
( occurrence_of(sK14(X0),tptp4)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f189]) ).
tcf(c_112,plain,
! [X0: $i] :
( root_occ(sK14(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_113,plain,
! [X0: $i] :
( occurrence_of(sK15(X0),tptp3)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f187]) ).
tcf(c_114,plain,
! [X0: $i] :
( leaf_occ(sK15(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_115,plain,
! [X0: $i] :
( next_subocc(sK14(X0),sK15(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f185]) ).
tcf(c_118,plain,
atomic(tptp4),
inference(cnf_transformation,[],[f192]) ).
tcf(c_119,plain,
atomic(tptp3),
inference(cnf_transformation,[],[f193]) ).
tcf(c_121,plain,
atomic(tptp1),
inference(cnf_transformation,[],[f195]) ).
tcf(c_122,plain,
tptp4 != tptp1,
inference(cnf_transformation,[],[f196]) ).
tcf(c_125,plain,
tptp3 != tptp1,
inference(cnf_transformation,[],[f199]) ).
tcf(c_128,plain,
! [X0: $i,X1: $i] :
( occurrence_of(sK16(X0),tptp1)
| ~ occurrence_of(X1,tptp0)
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f203]) ).
tcf(c_129,plain,
! [X0: $i,X1: $i] :
( next_subocc(X0,sK16(X0),tptp0)
| ~ occurrence_of(X1,tptp0)
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f202]) ).
tcf(c_130,negated_conjecture,
occurrence_of(sK17,tptp0),
inference(cnf_transformation,[],[f204]) ).
tcf(c_5506,negated_conjecture,
occurrence_of(sK17,tptp0),
inference(demodulation,[status(thm)],[c_130]) ).
tcf(c_5507,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_5511,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( occurrence_of(X0,X2)
| ~ occurrence_of(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_5518,plain,
! [X0: $i,X1: $i,X2: $i] :
( leaf(X2,X0)
| ~ leaf(X2,X1)
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_6546,plain,
! [X0: $i] :
( activity_occurrence(sK14(X0))
| ~ occurrence_of(X0,tptp0) ),
inference(superposition,[status(thm)],[c_111,c_107]) ).
tcf(c_6568,plain,
! [X0: $i] :
( subactivity_occurrence(sK14(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(superposition,[status(thm)],[c_112,c_66]) ).
tcf(c_6576,plain,
! [X0: $i] :
( activity_occurrence(sK15(X0))
| ~ occurrence_of(X0,tptp0) ),
inference(superposition,[status(thm)],[c_113,c_107]) ).
tcf(c_6723,plain,
! [X0: $i] :
( arboreal(X0)
| ~ activity_occurrence(X0)
| ~ atomic(sK6(X0)) ),
inference(superposition,[status(thm)],[c_86,c_73]) ).
tcf(c_7456,plain,
( root_occ(sK14(sK17),sK17)
| ~ occurrence_of(sK17,tptp0) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_7459,plain,
! [X0: $i] :
( occurrence_of(sK16(X0),tptp1)
| ~ occurrence_of(sK17,tptp0)
| ~ root_occ(X0,sK17) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_8293,plain,
! [X0: $i,X1: $i] :
( ( sK6(X0) = X1 )
| ~ activity_occurrence(X0)
| ~ occurrence_of(X0,X1) ),
inference(superposition,[status(thm)],[c_86,c_91]) ).
tcf(c_8299,plain,
! [X0: $i] :
( ( X0 = tptp0 )
| ~ occurrence_of(sK17,X0) ),
inference(superposition,[status(thm)],[c_5506,c_91]) ).
tcf(c_8473,plain,
! [X0: $i] :
( ( sK1(X0,sK17) = tptp0 )
| ~ root_occ(X0,sK17) ),
inference(superposition,[status(thm)],[c_65,c_8299]) ).
tcf(c_8516,plain,
( ( sK1(sK14(sK17),sK17) = tptp0 )
| ~ occurrence_of(sK17,tptp0) ),
inference(superposition,[status(thm)],[c_112,c_8473]) ).
tcf(c_8517,plain,
sK1(sK14(sK17),sK17) = tptp0,
inference(forward_subsumption_resolution,[status(thm)],[c_8516,c_5506]) ).
tcf(c_8518,plain,
( root(sK14(sK17),tptp0)
| ~ root_occ(sK14(sK17),sK17) ),
inference(superposition,[status(thm)],[c_8517,c_67]) ).
tcf(c_8523,plain,
root(sK14(sK17),tptp0),
inference(global_subsumption_just,[status(thm)],[c_8518,c_130,c_7456,c_8518]) ).
tcf(c_9002,plain,
( occurrence_of(sK16(sK14(sK17)),tptp1)
| ~ occurrence_of(sK17,tptp0)
| ~ root_occ(sK14(sK17),sK17) ),
inference(instantiation,[status(thm)],[c_7459]) ).
tcf(c_10226,plain,
tptp4 = tptp4,
inference(instantiation,[status(thm)],[c_5507]) ).
tcf(c_10285,plain,
tptp3 = tptp3,
inference(instantiation,[status(thm)],[c_5507]) ).
tcf(c_10501,plain,
! [X0: $i] :
( root_occ(X0,sK17)
| ~ subactivity_occurrence(X0,sK17)
| ~ root(X0,tptp0) ),
inference(superposition,[status(thm)],[c_5506,c_64]) ).
tcf(c_10839,plain,
( root_occ(sK14(sK17),sK17)
| ~ occurrence_of(sK17,tptp0)
| ~ root(sK14(sK17),tptp0) ),
inference(superposition,[status(thm)],[c_6568,c_10501]) ).
tcf(c_10844,plain,
root_occ(sK14(sK17),sK17),
inference(forward_subsumption_resolution,[status(thm)],[c_10839,c_5506,c_8523]) ).
tcf(c_10863,plain,
( next_subocc(sK14(sK17),sK16(sK14(sK17)),tptp0)
| ~ occurrence_of(sK17,tptp0) ),
inference(superposition,[status(thm)],[c_10844,c_129]) ).
tcf(c_10864,plain,
( occurrence_of(sK16(sK14(sK17)),tptp1)
| ~ occurrence_of(sK17,tptp0) ),
inference(superposition,[status(thm)],[c_10844,c_128]) ).
tcf(c_10871,plain,
occurrence_of(sK16(sK14(sK17)),tptp1),
inference(forward_subsumption_resolution,[status(thm)],[c_10864,c_5506]) ).
tcf(c_10872,plain,
next_subocc(sK14(sK17),sK16(sK14(sK17)),tptp0),
inference(forward_subsumption_resolution,[status(thm)],[c_10863,c_5506]) ).
tcf(c_10887,plain,
( arboreal(sK16(sK14(sK17)))
| ~ atomic(tptp1) ),
inference(superposition,[status(thm)],[c_10871,c_73]) ).
tcf(c_10890,plain,
arboreal(sK16(sK14(sK17))),
inference(forward_subsumption_resolution,[status(thm)],[c_10887,c_121]) ).
tcf(c_10950,plain,
min_precedes(sK14(sK17),sK16(sK14(sK17)),tptp0),
inference(superposition,[status(thm)],[c_10872,c_55]) ).
tcf(c_18523,plain,
! [X0: $i,X1: $i] :
( ( sK6(X0) = X1 )
| ~ occurrence_of(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_8293,c_107,c_8293]) ).
tcf(c_18535,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK8(X2,X0,X1)) = X2 )
| ~ min_precedes(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_94,c_18523]) ).
tcf(c_18537,plain,
! [X0: $i] :
( ( sK6(sK14(X0)) = tptp4 )
| ~ occurrence_of(X0,tptp0) ),
inference(superposition,[status(thm)],[c_111,c_18523]) ).
tcf(c_18538,plain,
! [X0: $i] :
( ( sK6(sK15(X0)) = tptp3 )
| ~ occurrence_of(X0,tptp0) ),
inference(superposition,[status(thm)],[c_113,c_18523]) ).
tcf(c_18586,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK14(sK8(tptp0,X0,X1))) = tptp4 )
| ~ min_precedes(X0,X1,tptp0) ),
inference(superposition,[status(thm)],[c_94,c_18537]) ).
tcf(c_18849,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK15(sK8(tptp0,X0,X1))) = tptp3 )
| ~ min_precedes(X0,X1,tptp0) ),
inference(superposition,[status(thm)],[c_94,c_18538]) ).
tcf(c_19396,plain,
( subactivity_occurrence(sK16(sK14(sK17)),sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))
| ~ min_precedes(sK14(sK17),sK16(sK14(sK17)),tptp0) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_19400,plain,
( occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),tptp0)
| ~ min_precedes(sK14(sK17),sK16(sK14(sK17)),tptp0) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_24226,plain,
sK6(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))) = tptp0,
inference(superposition,[status(thm)],[c_10950,c_18535]) ).
tcf(c_25817,plain,
( occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),tptp0)
| ~ activity_occurrence(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))) ),
inference(superposition,[status(thm)],[c_24226,c_86]) ).
tcf(c_29215,plain,
sK6(sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))) = tptp4,
inference(superposition,[status(thm)],[c_10950,c_18586]) ).
tcf(c_29839,plain,
sK6(sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))) = tptp3,
inference(superposition,[status(thm)],[c_10950,c_18849]) ).
tcf(c_30467,plain,
( arboreal(sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))))
| ~ atomic(tptp4)
| ~ activity_occurrence(sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))) ),
inference(superposition,[status(thm)],[c_29215,c_6723]) ).
tcf(c_30472,plain,
( arboreal(sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))))
| ~ activity_occurrence(sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30467,c_118]) ).
tcf(c_30476,plain,
( arboreal(sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))))
| ~ atomic(tptp3)
| ~ activity_occurrence(sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))) ),
inference(superposition,[status(thm)],[c_29839,c_6723]) ).
tcf(c_30481,plain,
( arboreal(sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))))
| ~ activity_occurrence(sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30476,c_119]) ).
tcf(c_33073,plain,
( next_subocc(sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),tptp0)
| ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),tptp0) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_33074,plain,
( leaf_occ(sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))
| ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),tptp0) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_33075,plain,
( root_occ(sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))
| ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),tptp0) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_33076,plain,
( occurrence_of(sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),tptp3)
| ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),tptp0) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_33077,plain,
( occurrence_of(sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),tptp4)
| ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),tptp0) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_90722,plain,
! [X0: $i] :
( subactivity_occurrence(sK14(X0),X0)
| ~ root_occ(sK14(X0),X0) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_92949,plain,
! [X0: $i] :
( subactivity_occurrence(sK15(X0),X0)
| ~ leaf_occ(sK15(X0),X0) ),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_112840,plain,
occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),tptp0),
inference(global_subsumption_just,[status(thm)],[c_25817,c_10950,c_19400]) ).
tcf(c_112887,plain,
activity_occurrence(sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))),
inference(superposition,[status(thm)],[c_112840,c_6576]) ).
tcf(c_112888,plain,
activity_occurrence(sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))),
inference(superposition,[status(thm)],[c_112840,c_6546]) ).
tcf(c_125265,plain,
( subactivity_occurrence(sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))
| ~ leaf_occ(sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))) ),
inference(instantiation,[status(thm)],[c_92949]) ).
tcf(c_134240,plain,
( subactivity_occurrence(sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))
| ~ root_occ(sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))) ),
inference(instantiation,[status(thm)],[c_90722]) ).
tcf(c_178688,plain,
! [X0: $i] :
( ( tptp4 = tptp1 )
| ~ occurrence_of(X0,tptp1)
| ~ occurrence_of(X0,tptp4) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_178879,plain,
! [X0: $i] :
( ( tptp3 = tptp1 )
| ~ occurrence_of(X0,tptp1)
| ~ occurrence_of(X0,tptp3) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_181069,plain,
( ( tptp3 = tptp1 )
| ~ occurrence_of(sK16(sK14(sK17)),tptp1)
| ~ occurrence_of(sK16(sK14(sK17)),tptp3) ),
inference(instantiation,[status(thm)],[c_178879]) ).
tcf(c_181070,plain,
( ( tptp4 = tptp1 )
| ~ occurrence_of(sK16(sK14(sK17)),tptp1)
| ~ occurrence_of(sK16(sK14(sK17)),tptp4) ),
inference(instantiation,[status(thm)],[c_178688]) ).
tcf(c_188674,plain,
! [X0: $i,X1: $i] :
( ( sK6(X0) = X1 )
| ~ activity_occurrence(X0)
| ~ occurrence_of(X0,X1) ),
inference(resolution,[status(thm)],[c_91,c_86]) ).
tcf(c_190356,plain,
! [X0: $i,X1: $i] :
( ( sK6(X0) = X1 )
| ~ occurrence_of(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_188674,c_18523]) ).
tcf(c_207311,plain,
! [X0: $i,X1: $i,X2: $i] :
( leaf(X1,X0)
| ~ leaf_occ(X1,X2)
| ( X0 != sK2(X1,X2) ) ),
inference(resolution,[status(thm)],[c_5518,c_71]) ).
tcf(c_214278,plain,
! [X0: $i,X1: $i,X2: $i] :
( min_precedes(X2,sK16(sK14(sK17)),X1)
| min_precedes(sK16(sK14(sK17)),X2,X1)
| ( sK16(sK14(sK17)) = X2 )
| ~ arboreal(X2)
| ~ subactivity_occurrence(X2,X0)
| ~ occurrence_of(X0,X1)
| ~ arboreal(sK16(sK14(sK17)))
| ~ subactivity_occurrence(sK16(sK14(sK17)),X0) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_261008,plain,
! [X0: $i,X1: $i,X2: $i] :
( leaf(X1,sK6(X0))
| ~ leaf_occ(X1,X2)
| ~ occurrence_of(X0,sK2(X1,X2)) ),
inference(resolution,[status(thm)],[c_207311,c_190356]) ).
tcf(c_293058,plain,
! [X0: $i,X1: $i,X2: $i] :
( occurrence_of(X0,tptp4)
| ~ occurrence_of(X1,X2)
| ( tptp4 != X2 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_5511]) ).
tcf(c_293059,plain,
! [X0: $i,X1: $i,X2: $i] :
( occurrence_of(X0,tptp3)
| ~ occurrence_of(X1,X2)
| ( tptp3 != X2 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_5511]) ).
tcf(c_310524,plain,
! [X0: $i,X1: $i] :
( occurrence_of(X0,tptp4)
| ~ occurrence_of(X1,tptp4)
| ( tptp4 != tptp4 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_293058]) ).
tcf(c_334571,plain,
! [X0: $i,X1: $i] :
( occurrence_of(X0,tptp3)
| ~ occurrence_of(X1,tptp3)
| ( tptp3 != tptp3 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_293059]) ).
tcf(c_392293,plain,
! [X0: $i,X1: $i] :
( leaf(X0,sK6(X1))
| ~ leaf_occ(X0,X1) ),
inference(resolution,[status(thm)],[c_261008,c_69]) ).
tcf(c_423177,plain,
! [X0: $i] :
( root_occ(X0,sK17)
| ~ subactivity_occurrence(X0,sK17)
| ~ root(X0,tptp0) ),
inference(superposition,[status(thm)],[c_5506,c_64]) ).
tcf(c_423550,plain,
! [X0: $i,X1: $i,X2: $i] :
( leaf(X2,X1)
| ~ root(X2,X1)
| ~ leaf_occ(X2,X0)
| ~ occurrence_of(X0,X1) ),
inference(superposition,[status(thm)],[c_75,c_90]) ).
tcf(c_423573,plain,
! [X0: $i,X1: $i] :
( ( sK6(X0) = X1 )
| ~ activity_occurrence(X0)
| ~ occurrence_of(X0,X1) ),
inference(superposition,[status(thm)],[c_86,c_91]) ).
tcf(c_424110,plain,
! [X0: $i] :
( subactivity_occurrence(sK14(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(superposition,[status(thm)],[c_112,c_66]) ).
tcf(c_424226,plain,
! [X0: $i,X1: $i,X2: $i] :
( min_precedes(X2,sK16(sK14(sK17)),X1)
| min_precedes(sK16(sK14(sK17)),X2,X1)
| ( sK16(sK14(sK17)) = X2 )
| ~ arboreal(X2)
| ~ subactivity_occurrence(X2,X0)
| ~ occurrence_of(X0,X1)
| ~ arboreal(sK16(sK14(sK17)))
| ~ subactivity_occurrence(sK16(sK14(sK17)),X0) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_424787,plain,
( root_occ(sK14(sK17),sK17)
| ~ occurrence_of(sK17,tptp0)
| ~ root(sK14(sK17),tptp0) ),
inference(superposition,[status(thm)],[c_424110,c_423177]) ).
tcf(c_424788,plain,
( root_occ(sK14(sK17),sK17)
| ~ root(sK14(sK17),tptp0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_424787,c_5506]) ).
tcf(c_425548,plain,
! [X0: $i,X1: $i] :
( leaf(X0,sK6(X1))
| ~ activity_occurrence(X1)
| ~ leaf_occ(X0,X1)
| ~ root(X0,sK6(X1)) ),
inference(superposition,[status(thm)],[c_86,c_423550]) ).
tcf(c_425879,plain,
! [X0: $i,X1: $i] :
( ( sK6(X0) = X1 )
| ~ occurrence_of(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_423573,c_18523]) ).
tcf(c_425890,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK8(X2,X0,X1)) = X2 )
| ~ min_precedes(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_94,c_425879]) ).
tcf(c_426502,plain,
root_occ(sK14(sK17),sK17),
inference(global_subsumption_just,[status(thm)],[c_424788,c_130,c_7456]) ).
tcf(c_426506,plain,
( next_subocc(sK14(sK17),sK16(sK14(sK17)),tptp0)
| ~ occurrence_of(sK17,tptp0) ),
inference(superposition,[status(thm)],[c_426502,c_129]) ).
tcf(c_426514,plain,
next_subocc(sK14(sK17),sK16(sK14(sK17)),tptp0),
inference(forward_subsumption_resolution,[status(thm)],[c_426506,c_5506]) ).
tcf(c_426709,plain,
min_precedes(sK14(sK17),sK16(sK14(sK17)),tptp0),
inference(superposition,[status(thm)],[c_426514,c_55]) ).
tcf(c_432891,plain,
! [X0: $i,X1: $i] :
( leaf(X0,sK6(X1))
| ~ leaf_occ(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_425548,c_392293]) ).
tcf(c_435295,plain,
sK6(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))) = tptp0,
inference(superposition,[status(thm)],[c_426709,c_425890]) ).
tcf(c_441899,plain,
( occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),tptp0)
| ~ activity_occurrence(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))) ),
inference(superposition,[status(thm)],[c_435295,c_86]) ).
tcf(c_441903,plain,
! [X0: $i] :
( leaf(X0,tptp0)
| ~ leaf_occ(X0,sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))) ),
inference(superposition,[status(thm)],[c_435295,c_432891]) ).
tcf(c_466873,plain,
! [X0: $i,X1: $i] :
( min_precedes(X1,sK16(sK14(sK17)),X0)
| min_precedes(sK16(sK14(sK17)),X1,X0)
| ( sK16(sK14(sK17)) = X1 )
| ~ arboreal(X1)
| ~ arboreal(sK16(sK14(sK17)))
| ~ subactivity_occurrence(X1,sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))
| ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),X0)
| ~ subactivity_occurrence(sK16(sK14(sK17)),sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))) ),
inference(instantiation,[status(thm)],[c_424226]) ).
tcf(c_523518,plain,
occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),tptp0),
inference(global_subsumption_just,[status(thm)],[c_441899,c_10950,c_19400]) ).
tcf(c_535633,plain,
( leaf(sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),tptp0)
| ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),tptp0) ),
inference(superposition,[status(thm)],[c_114,c_441903]) ).
tcf(c_535636,plain,
leaf(sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),tptp0),
inference(forward_subsumption_resolution,[status(thm)],[c_535633,c_523518]) ).
tcf(c_598144,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ occurrence_of(X1,X2)
| ~ root_occ(sK14(X1),X1)
| ~ min_precedes(X0,sK14(X1),X2) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_598150,plain,
! [X0: $i,X1: $i,X2: $i] :
( min_precedes(X2,sK16(sK14(sK17)),X1)
| min_precedes(sK16(sK14(sK17)),X2,X1)
| ( sK16(sK14(sK17)) = X2 )
| ~ arboreal(X2)
| ~ subactivity_occurrence(X2,X0)
| ~ occurrence_of(X0,X1)
| ~ arboreal(sK16(sK14(sK17)))
| ~ subactivity_occurrence(sK16(sK14(sK17)),X0) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_598151,plain,
! [X0: $i,X1: $i,X2: $i] :
( min_precedes(X2,sK16(sK14(sK17)),X1)
| min_precedes(sK16(sK14(sK17)),X2,X1)
| ( sK16(sK14(sK17)) = X2 )
| ~ arboreal(X2)
| ~ subactivity_occurrence(X2,X0)
| ~ occurrence_of(X0,X1)
| ~ subactivity_occurrence(sK16(sK14(sK17)),X0) ),
inference(global_subsumption_just,[status(thm)],[c_598150,c_10890,c_214278]) ).
tcf(c_598261,plain,
! [X0: $i,X1: $i,X2: $i] :
( occurrence_of(X0,tptp4)
| ~ occurrence_of(X1,X2)
| ( tptp4 != X2 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_5511]) ).
tcf(c_598264,plain,
! [X0: $i,X1: $i,X2: $i] :
( occurrence_of(X0,tptp3)
| ~ occurrence_of(X1,X2)
| ( tptp3 != X2 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_5511]) ).
tcf(c_601248,plain,
! [X0: $i,X1: $i] :
( ~ leaf(sK15(X0),tptp0)
| ~ min_precedes(sK15(X0),X1,tptp0) ),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_601273,plain,
! [X0: $i,X1: $i] :
( occurrence_of(X0,tptp3)
| ~ occurrence_of(X1,tptp3)
| ( tptp3 != tptp3 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_598264]) ).
tcf(c_601274,plain,
! [X0: $i,X1: $i] :
( occurrence_of(X0,tptp3)
| ~ occurrence_of(X1,tptp3)
| ( X0 != X1 ) ),
inference(global_subsumption_just,[status(thm)],[c_601273,c_10285,c_334571]) ).
tcf(c_601422,plain,
! [X0: $i,X1: $i] :
( occurrence_of(X0,tptp4)
| ~ occurrence_of(X1,tptp4)
| ( tptp4 != tptp4 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_598261]) ).
tcf(c_601423,plain,
! [X0: $i,X1: $i] :
( occurrence_of(X0,tptp4)
| ~ occurrence_of(X1,tptp4)
| ( X0 != X1 ) ),
inference(global_subsumption_just,[status(thm)],[c_601422,c_10226,c_310524]) ).
tcf(c_601794,plain,
! [X0: $i,X1: $i] :
( occurrence_of(X0,tptp3)
| ~ occurrence_of(sK15(X1),tptp3)
| ( X0 != sK15(X1) ) ),
inference(instantiation,[status(thm)],[c_601274]) ).
tcf(c_602142,plain,
! [X0: $i,X1: $i] :
( occurrence_of(X0,tptp4)
| ~ occurrence_of(sK14(X1),tptp4)
| ( X0 != sK14(X1) ) ),
inference(instantiation,[status(thm)],[c_601423]) ).
tcf(c_602199,plain,
! [X0: $i,X1: $i] :
( min_precedes(X1,sK16(sK14(sK17)),X0)
| min_precedes(sK16(sK14(sK17)),X1,X0)
| ( sK16(sK14(sK17)) = X1 )
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))
| ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),X0)
| ~ subactivity_occurrence(sK16(sK14(sK17)),sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))) ),
inference(instantiation,[status(thm)],[c_598151]) ).
tcf(c_602203,plain,
! [X0: $i,X1: $i] :
( min_precedes(X1,sK16(sK14(sK17)),X0)
| min_precedes(sK16(sK14(sK17)),X1,X0)
| ( sK16(sK14(sK17)) = X1 )
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))
| ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),X0) ),
inference(global_subsumption_just,[status(thm)],[c_602199,c_10890,c_10950,c_19396,c_466873]) ).
tcf(c_603746,plain,
! [X0: $i] :
( 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)
| ( sK16(sK14(sK17)) = sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))) )
| ~ arboreal(sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))))
| ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),X0)
| ~ subactivity_occurrence(sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))) ),
inference(instantiation,[status(thm)],[c_602203]) ).
tcf(c_603749,plain,
! [X0: $i] :
( 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)
| ( sK16(sK14(sK17)) = sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))) )
| ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),X0) ),
inference(global_subsumption_just,[status(thm)],[c_603746,c_10950,c_19400,c_30472,c_33075,c_112888,c_134240,c_603746]) ).
tcf(c_603751,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)
| ( sK16(sK14(sK17)) = sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))) )
| ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),tptp0) ),
inference(instantiation,[status(thm)],[c_603749]) ).
tcf(c_603754,plain,
! [X0: $i] :
( 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)
| ( sK16(sK14(sK17)) = sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))) )
| ~ arboreal(sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))))
| ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),X0)
| ~ subactivity_occurrence(sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))) ),
inference(instantiation,[status(thm)],[c_602203]) ).
tcf(c_603757,plain,
! [X0: $i] :
( 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)
| ( sK16(sK14(sK17)) = sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))) )
| ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),X0) ),
inference(global_subsumption_just,[status(thm)],[c_603754,c_10950,c_19400,c_30481,c_33074,c_112887,c_125265,c_603754]) ).
tcf(c_603767,plain,
! [X0: $i,X1: $i] :
( min_precedes(sK15(X0),sK16(sK14(sK17)),X1)
| min_precedes(sK16(sK14(sK17)),sK15(X0),X1)
| ( sK16(sK14(sK17)) = sK15(X0) )
| ~ arboreal(sK15(X0))
| ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),X1)
| ~ subactivity_occurrence(sK15(X0),sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))) ),
inference(instantiation,[status(thm)],[c_602203]) ).
tcf(c_607123,plain,
( occurrence_of(sK16(sK14(sK17)),tptp3)
| ~ occurrence_of(sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),tptp3)
| ( sK16(sK14(sK17)) != sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))) ) ),
inference(instantiation,[status(thm)],[c_601794]) ).
tcf(c_607304,plain,
! [X0: $i] :
( 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)
| ( sK16(sK14(sK17)) = sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))) )
| ~ arboreal(sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))))
| ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),X0)
| ~ subactivity_occurrence(sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))) ),
inference(instantiation,[status(thm)],[c_603767]) ).
tcf(c_607305,plain,
! [X0: $i] :
( 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)
| ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),X0) ),
inference(global_subsumption_just,[status(thm)],[c_607304,c_130,c_125,c_7456,c_9002,c_10950,c_19400,c_33076,c_181069,c_603757,c_607123]) ).
tcf(c_607307,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)),tptp0)
| ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),tptp0) ),
inference(instantiation,[status(thm)],[c_607305]) ).
tcf(c_608322,plain,
( occurrence_of(sK16(sK14(sK17)),tptp4)
| ~ occurrence_of(sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),tptp4)
| ( sK16(sK14(sK17)) != sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))) ) ),
inference(instantiation,[status(thm)],[c_602142]) ).
tcf(c_610233,plain,
( ~ leaf(sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),tptp0)
| ~ min_precedes(sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK16(sK14(sK17)),tptp0) ),
inference(instantiation,[status(thm)],[c_601248]) ).
tcf(c_612224,plain,
! [X0: $i,X1: $i] :
( ~ min_precedes(sK16(sK14(sK17)),X1,X0)
| ~ next_subocc(sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),X1,X0)
| ~ min_precedes(sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK16(sK14(sK17)),X0) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_618194,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)
| ( sK16(sK14(sK17)) = sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))) )
| ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),tptp0) ),
inference(instantiation,[status(thm)],[c_603749]) ).
tcf(c_618198,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) ),
inference(global_subsumption_just,[status(thm)],[c_618194,c_130,c_122,c_7456,c_9002,c_10950,c_19400,c_33077,c_181070,c_603751,c_608322]) ).
tcf(c_618205,plain,
! [X0: $i] :
( ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),X0)
| ~ min_precedes(sK16(sK14(sK17)),sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),X0)
| ~ root_occ(sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))) ),
inference(instantiation,[status(thm)],[c_598144]) ).
tcf(c_618206,plain,
( ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),tptp0)
| ~ min_precedes(sK16(sK14(sK17)),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)))) ),
inference(instantiation,[status(thm)],[c_618205]) ).
tcf(c_625411,plain,
( ~ min_precedes(sK16(sK14(sK17)),sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),tptp0)
| ~ min_precedes(sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK16(sK14(sK17)),tptp0)
| ~ next_subocc(sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),tptp0) ),
inference(instantiation,[status(thm)],[c_612224]) ).
tcf(c_625415,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_625411,c_618206,c_618198,c_610233,c_607307,c_535636,c_33073,c_33075,c_19400,c_10950]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO003+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.72 % Computer : n017.cluster.edu
% 0.11/0.72 % Model : x86_64 x86_64
% 0.11/0.72 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.72 % Memory : 8046.5625MB
% 0.11/0.72 % OS : Linux 6.8.0-71-generic
% 0.11/0.72 % CPULimit : 300
% 0.11/0.72 % WCLimit : 300
% 0.11/0.72 % DateTime : Thu Sep 24 06:19:16 UTC 2026
% 0.11/0.72 % CPUTime :
% 0.11/0.72 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.76 Running first-order theorem proving
% 0.11/0.76 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.78
% 0.11/0.78 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.78
% 0.11/0.78 % Detected problem language: tptp
% 0.11/0.79 % Proving...
% 139.57/40.96 % SZS status Started for theBenchmark.p
% 139.57/40.96 % SZS status Theorem for theBenchmark.p
% 139.57/40.96
% 139.57/40.96 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 139.57/40.96
% 139.57/40.96 % ------ iProver source info
% 139.57/40.96
% 139.57/40.96 % git: date: 2026-07-19 20:42:38 +0200
% 139.57/40.96 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 139.57/40.96 % git: non_committed_changes: false
% 139.57/40.96
% 139.57/40.96 % ------ Parsing...
% 139.57/40.96 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 139.57/40.96
% 139.57/40.96 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 139.57/40.96
% 139.57/40.96 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 139.57/40.96
% 139.57/40.96 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 139.57/40.96 % ------ Proving...
% 139.57/40.96 % ------ Problem Properties
% 139.57/40.96
% 139.57/40.96 %
% 139.57/40.96 % clauses 81
% 139.57/40.96 % conjectures 1
% 139.57/40.96 % EPR 45
% 139.57/40.96 % Horn 68
% 139.57/40.96 % unary 13
% 139.57/40.96 % binary 40
% 139.57/40.96 % lits 188
% 139.57/40.96 % lits eq 10
% 139.57/40.96 % fd_pure 0
% 139.57/40.96 % fd_pseudo 0
% 139.57/40.96 % fd_cond 0
% 139.57/40.96 % fd_pseudo_cond 4
% 139.57/40.96 % AC symbols 0
% 139.57/40.96
% 139.57/40.96 % ------ Schedule dynamic 5 is on
% 139.57/40.96
% 139.57/40.96 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 139.57/40.96
% 139.57/40.96
% 139.57/40.96 % ------
% 139.57/40.96 % Current options:
% 139.57/40.96 % ------
% 139.57/40.96
% 139.57/40.96
% 139.57/40.96 %
% 139.57/40.96
% 139.57/40.96 % ------ Proving...
% 139.57/40.96 % Proof_search_loop: time out after: 8050 full_loop iterations
% 139.57/40.96
% 139.57/40.96 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 139.57/40.96
% 139.57/40.96
% 139.57/40.96 % ------
% 139.57/40.96 % Current options:
% 139.57/40.96 % ------
% 139.57/40.96
% 139.57/40.96
% 139.57/40.96 %
% 139.57/40.96
% 139.57/40.96 % ------ Proving...
% 139.57/40.96 % Proof_search_loop: time out after: 10130 full_loop iterations
% 139.57/40.96
% 139.57/40.96 % ------ Option_1: Negative Selections Time Limit: 35.
% 139.57/40.96
% 139.57/40.96
% 139.57/40.96 % ------
% 139.57/40.96 % Current options:
% 139.57/40.96 % ------
% 139.57/40.96
% 139.57/40.96
% 139.57/40.96 %
% 139.57/40.96
% 139.57/40.96 % ------ Proving...
% 139.57/40.96 %
% 139.57/40.96
% 139.57/40.96 % SZS status Theorem for theBenchmark.p
% 139.57/40.96
% 139.57/40.96 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 139.57/40.96
% 139.57/40.96
%------------------------------------------------------------------------------