%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PRO012+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n012.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 02:31:37 PM UTC 2026
% Result : Theorem 10.34s 2.04s
% Output : CNFRefutation 10.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 22
% Syntax : Number of formulae : 232 ( 11 unt; 0 def)
% Number of atoms : 776 ( 71 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 983 ( 439 ~; 444 |; 79 &)
% ( 5 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 3 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 492 ( 0 sgn 466 !; 26 ?; 262 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,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/sandbox2/benchmark/theBenchmark.p',sos_04) ).
fof(f7,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/sandbox2/benchmark/theBenchmark.p',sos_06) ).
fof(f9,axiom,
! [X0,X1,X2] :
( ( occurrence_of(X0,X2)
& occurrence_of(X0,X1) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).
fof(f11,axiom,
! [X0,X1,X2] :
( ( root_occ(X1,X0)
& occurrence_of(X0,X2) )
=> ~ ? [X3] : min_precedes(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_10) ).
fof(f14,axiom,
! [X0] :
( legal(X0)
=> arboreal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_13) ).
fof(f17,axiom,
! [X0,X1] :
( occurrence_of(X0,X1)
=> ( arboreal(X0)
<=> atomic(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_16) ).
fof(f20,axiom,
! [X0,X1] :
( root_occ(X0,X1)
<=> ? [X2] :
( root(X0,X2)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_19) ).
fof(f22,axiom,
! [X0,X1] :
( precedes(X0,X1)
<=> ( legal(X1)
& earlier(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_21) ).
fof(f24,axiom,
! [X0,X1,X2] :
( min_precedes(X0,X1,X2)
=> ? [X3] :
( min_precedes(X3,X1,X2)
& root(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_23) ).
fof(f25,axiom,
! [X0,X1,X2] :
( min_precedes(X0,X1,X2)
=> precedes(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_24) ).
fof(f26,axiom,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
=> ( arboreal(X1)
& arboreal(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_25) ).
fof(f27,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/sandbox2/benchmark/theBenchmark.p',sos_26) ).
fof(f28,axiom,
! [X0,X1,X2,X3] :
( ( subactivity_occurrence(X1,X3)
& occurrence_of(X3,X2)
& min_precedes(X0,X1,X2) )
=> subactivity_occurrence(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_27) ).
fof(f30,axiom,
! [X0,X1,X2,X3] :
( ( root_occ(X1,X2)
& root_occ(X0,X2)
& occurrence_of(X2,X3) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_29) ).
fof(f33,axiom,
! [X0] :
( occurrence_of(X0,tptp0)
=> ? [X1,X2,X3] :
( ! [X4] :
( min_precedes(X1,X4,tptp0)
=> ( X4 = X3
| X4 = X2 ) )
& min_precedes(X2,X3,tptp0)
& ( occurrence_of(X3,tptp1)
| occurrence_of(X3,tptp2) )
& min_precedes(X1,X2,tptp0)
& occurrence_of(X2,tptp4)
& root_occ(X1,X0)
& occurrence_of(X1,tptp3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).
fof(f39,axiom,
atomic(tptp3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_38) ).
fof(f46,conjecture,
! [X0] :
( occurrence_of(X0,tptp0)
=> ? [X1,X2] :
( min_precedes(X1,X2,tptp0)
& ( occurrence_of(X2,tptp1)
| occurrence_of(X2,tptp2) )
& root_occ(X1,X0)
& occurrence_of(X1,tptp3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f47,negated_conjecture,
~ ! [X0] :
( occurrence_of(X0,tptp0)
=> ? [X1,X2] :
( min_precedes(X1,X2,tptp0)
& ( occurrence_of(X2,tptp1)
| occurrence_of(X2,tptp2) )
& root_occ(X1,X0)
& occurrence_of(X1,tptp3) ) ),
inference(negated_conjecture,[status(cth)],[f46]) ).
fof(f48,plain,
! [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(unused_predicate_definition_removal,[],[f27]) ).
fof(f62,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,[],[f5]) ).
fof(f63,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,[],[f62]) ).
fof(f65,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,[],[f7]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(ennf_transformation,[],[f9]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(flattening,[],[f68]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ~ root_occ(X1,X0)
| ~ occurrence_of(X0,X2)
| ! [X3] : ~ min_precedes(X3,X1,X2) ),
inference(ennf_transformation,[],[f11]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ~ root_occ(X1,X0)
| ~ occurrence_of(X0,X2)
| ! [X3] : ~ min_precedes(X3,X1,X2) ),
inference(flattening,[],[f72]) ).
fof(f76,plain,
! [X0] :
( ~ legal(X0)
| arboreal(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f79,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ( arboreal(X0)
<=> atomic(X1) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ~ min_precedes(X0,X1,X2)
| ? [X3] :
( min_precedes(X3,X1,X2)
& root(X3,X2) ) ),
inference(ennf_transformation,[],[f24]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ~ min_precedes(X0,X1,X2)
| precedes(X0,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f85,plain,
! [X0,X1,X2] :
( ~ next_subocc(X0,X1,X2)
| ( arboreal(X1)
& arboreal(X0) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f86,plain,
! [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(ennf_transformation,[],[f48]) ).
fof(f87,plain,
! [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,[],[f86]) ).
fof(f88,plain,
! [X0,X1,X2,X3] :
( ~ subactivity_occurrence(X1,X3)
| ~ occurrence_of(X3,X2)
| ~ min_precedes(X0,X1,X2)
| subactivity_occurrence(X0,X3) ),
inference(ennf_transformation,[],[f28]) ).
fof(f89,plain,
! [X0,X1,X2,X3] :
( ~ subactivity_occurrence(X1,X3)
| ~ occurrence_of(X3,X2)
| ~ min_precedes(X0,X1,X2)
| subactivity_occurrence(X0,X3) ),
inference(flattening,[],[f88]) ).
fof(f92,plain,
! [X0,X1,X2,X3] :
( ~ root_occ(X1,X2)
| ~ root_occ(X0,X2)
| ~ occurrence_of(X2,X3)
| X0 = X1 ),
inference(ennf_transformation,[],[f30]) ).
fof(f93,plain,
! [X0,X1,X2,X3] :
( ~ root_occ(X1,X2)
| ~ root_occ(X0,X2)
| ~ occurrence_of(X2,X3)
| X0 = X1 ),
inference(flattening,[],[f92]) ).
fof(f98,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ? [X1,X2,X3] :
( ! [X4] :
( ~ min_precedes(X1,X4,tptp0)
| X4 = X3
| X4 = X2 )
& min_precedes(X2,X3,tptp0)
& ( occurrence_of(X3,tptp1)
| occurrence_of(X3,tptp2) )
& min_precedes(X1,X2,tptp0)
& occurrence_of(X2,tptp4)
& root_occ(X1,X0)
& occurrence_of(X1,tptp3) ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f99,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ? [X1,X2,X3] :
( ! [X4] :
( ~ min_precedes(X1,X4,tptp0)
| X4 = X3
| X4 = X2 )
& min_precedes(X2,X3,tptp0)
& ( occurrence_of(X3,tptp1)
| occurrence_of(X3,tptp2) )
& min_precedes(X1,X2,tptp0)
& occurrence_of(X2,tptp4)
& root_occ(X1,X0)
& occurrence_of(X1,tptp3) ) ),
inference(flattening,[],[f98]) ).
fof(f100,plain,
? [X0] :
( occurrence_of(X0,tptp0)
& ! [X1,X2] :
( ~ min_precedes(X1,X2,tptp0)
| ( ~ occurrence_of(X2,tptp1)
& ~ occurrence_of(X2,tptp2) )
| ~ root_occ(X1,X0)
| ~ occurrence_of(X1,tptp3) ) ),
inference(ennf_transformation,[],[f47]) ).
fof(f103,plain,
! [X0,X1,X2] :
( ~ min_precedes(X1,X2,X0)
| ( subactivity_occurrence(X2,sK2(X0,X1,X2))
& subactivity_occurrence(X1,sK2(X0,X1,X2))
& occurrence_of(sK2(X0,X1,X2),X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X3,sK2(X0,X1,X2))],[f65]) ).
fof(f111,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ( ( ~ arboreal(X0)
| atomic(X1) )
& ( ~ atomic(X1)
| arboreal(X0) ) ) ),
inference(nnf_transformation,[],[f79]) ).
fof(f115,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,[],[f20]) ).
fof(f116,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,[],[f115]) ).
fof(f117,plain,
! [X0,X1] :
( ( ~ root_occ(X0,X1)
| ( root(X0,sK9(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK9(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,[sK9]),skolemize(X3,sK9(X0,X1))],[f116]) ).
fof(f118,plain,
! [X0,X1] :
( ( ~ precedes(X0,X1)
| ( legal(X1)
& earlier(X0,X1) ) )
& ( ~ legal(X1)
| ~ earlier(X0,X1)
| precedes(X0,X1) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f119,plain,
! [X0,X1] :
( ( ~ precedes(X0,X1)
| ( legal(X1)
& earlier(X0,X1) ) )
& ( ~ legal(X1)
| ~ earlier(X0,X1)
| precedes(X0,X1) ) ),
inference(flattening,[],[f118]) ).
fof(f120,plain,
! [X0,X1,X2] :
( ~ min_precedes(X0,X1,X2)
| ( min_precedes(sK10(X1,X2),X1,X2)
& root(sK10(X1,X2),X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X3,sK10(X1,X2))],[f83]) ).
fof(f121,plain,
! [X0,X1,X2] :
( ( min_precedes(sK11(X0,X1,X2),X1,X2)
& min_precedes(X0,sK11(X0,X1,X2),X2) )
| ~ min_precedes(X0,X1,X2)
| next_subocc(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X3,sK11(X0,X1,X2))],[f87]) ).
fof(f122,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ( ! [X4] :
( ~ min_precedes(sK12(X0),X4,tptp0)
| sK14(X0) = X4
| sK13(X0) = X4 )
& min_precedes(sK13(X0),sK14(X0),tptp0)
& ( occurrence_of(sK14(X0),tptp1)
| occurrence_of(sK14(X0),tptp2) )
& min_precedes(sK12(X0),sK13(X0),tptp0)
& occurrence_of(sK13(X0),tptp4)
& root_occ(sK12(X0),X0)
& occurrence_of(sK12(X0),tptp3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13,sK14]),skolemize(X1,sK12(X0)),skolemize(X2,sK13(X0)),skolemize(X3,sK14(X0))],[f99]) ).
fof(f123,plain,
( occurrence_of(sK15,tptp0)
& ! [X1,X2] :
( ~ min_precedes(X1,X2,tptp0)
| ( ~ occurrence_of(X2,tptp1)
& ~ occurrence_of(X2,tptp2) )
| ~ root_occ(X1,sK15)
| ~ occurrence_of(X1,tptp3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(X0,sK15)],[f100]) ).
fof(f129,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,[],[f63]) ).
fof(f131,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| subactivity_occurrence(X2,sK2(X0,X1,X2)) ),
inference(cnf_transformation,[],[f103]) ).
fof(f132,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| subactivity_occurrence(X1,sK2(X0,X1,X2)) ),
inference(cnf_transformation,[],[f103]) ).
fof(f133,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| occurrence_of(sK2(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f136,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f69]) ).
fof(f138,plain,
! [X2,X3,X0,X1] :
( ~ root_occ(X1,X0)
| ~ occurrence_of(X0,X2)
| ~ min_precedes(X3,X1,X2) ),
inference(cnf_transformation,[],[f73]) ).
fof(f142,plain,
! [X0] :
( ~ legal(X0)
| arboreal(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f150,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ~ atomic(X1)
| arboreal(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f156,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| root(X0,sK9(X0,X1)) ),
inference(cnf_transformation,[],[f117]) ).
fof(f158,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| occurrence_of(X1,sK9(X0,X1)) ),
inference(cnf_transformation,[],[f117]) ).
fof(f159,plain,
! [X2,X0,X1] :
( ~ root(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2)
| root_occ(X0,X1) ),
inference(cnf_transformation,[],[f117]) ).
fof(f161,plain,
! [X0,X1] :
( ~ precedes(X0,X1)
| legal(X1) ),
inference(cnf_transformation,[],[f119]) ).
fof(f165,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| min_precedes(sK10(X1,X2),X1,X2) ),
inference(cnf_transformation,[],[f120]) ).
fof(f166,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| root(sK10(X1,X2),X2) ),
inference(cnf_transformation,[],[f120]) ).
fof(f167,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| precedes(X0,X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f168,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| arboreal(X1) ),
inference(cnf_transformation,[],[f85]) ).
fof(f170,plain,
! [X2,X0,X1] :
( min_precedes(sK11(X0,X1,X2),X1,X2)
| ~ min_precedes(X0,X1,X2)
| next_subocc(X0,X1,X2) ),
inference(cnf_transformation,[],[f121]) ).
fof(f172,plain,
! [X2,X3,X0,X1] :
( ~ subactivity_occurrence(X1,X3)
| ~ occurrence_of(X3,X2)
| ~ min_precedes(X0,X1,X2)
| subactivity_occurrence(X0,X3) ),
inference(cnf_transformation,[],[f89]) ).
fof(f174,plain,
! [X2,X3,X0,X1] :
( ~ root_occ(X1,X2)
| ~ root_occ(X0,X2)
| ~ occurrence_of(X2,X3)
| X0 = X1 ),
inference(cnf_transformation,[],[f93]) ).
fof(f178,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| min_precedes(sK13(X0),sK14(X0),tptp0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f179,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| occurrence_of(sK14(X0),tptp1)
| occurrence_of(sK14(X0),tptp2) ),
inference(cnf_transformation,[],[f122]) ).
fof(f180,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| min_precedes(sK12(X0),sK13(X0),tptp0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f182,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| root_occ(sK12(X0),X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f183,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| occurrence_of(sK12(X0),tptp3) ),
inference(cnf_transformation,[],[f122]) ).
fof(f188,plain,
atomic(tptp3),
inference(cnf_transformation,[],[f39]) ).
fof(f195,plain,
occurrence_of(sK15,tptp0),
inference(cnf_transformation,[],[f123]) ).
fof(f196,plain,
! [X2,X1] :
( ~ min_precedes(X1,X2,tptp0)
| ~ occurrence_of(X2,tptp1)
| ~ root_occ(X1,sK15)
| ~ occurrence_of(X1,tptp3) ),
inference(cnf_transformation,[],[f123]) ).
fof(f197,plain,
! [X2,X1] :
( ~ min_precedes(X1,X2,tptp0)
| ~ occurrence_of(X2,tptp2)
| ~ root_occ(X1,sK15)
| ~ occurrence_of(X1,tptp3) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_54,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,[],[f129]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] :
( occurrence_of(sK2(X2,X0,X1),X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f133]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i] :
( subactivity_occurrence(X0,sK2(X2,X0,X1))
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i] :
( subactivity_occurrence(X1,sK2(X2,X0,X1))
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_63,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,[],[f138]) ).
tcf(c_67,plain,
! [X0: $i] :
( arboreal(X0)
| ~ legal(X0) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] :
( arboreal(X0)
| ~ atomic(X1)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i] :
( root_occ(X0,X2)
| ~ subactivity_occurrence(X0,X2)
| ~ occurrence_of(X2,X1)
| ~ root(X0,X1) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i] :
( occurrence_of(X1,sK9(X0,X1))
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i] :
( root(X0,sK9(X0,X1))
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i] :
( legal(X1)
| ~ precedes(X0,X1) ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i] :
( root(sK10(X1,X2),X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i] :
( min_precedes(sK10(X1,X2),X1,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i,X2: $i] :
( precedes(X0,X1)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i] :
( arboreal(X1)
| ~ next_subocc(X0,X1,X2) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i] :
( next_subocc(X0,X1,X2)
| min_precedes(sK11(X0,X1,X2),X1,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subactivity_occurrence(X0,X3)
| ~ subactivity_occurrence(X1,X3)
| ~ occurrence_of(X3,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ~ root_occ(X3,X0)
| ~ root_occ(X2,X0)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_102,plain,
! [X0: $i] :
( occurrence_of(sK12(X0),tptp3)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_103,plain,
! [X0: $i] :
( root_occ(sK12(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_105,plain,
! [X0: $i] :
( min_precedes(sK12(X0),sK13(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_106,plain,
! [X0: $i] :
( occurrence_of(sK14(X0),tptp1)
| occurrence_of(sK14(X0),tptp2)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_107,plain,
! [X0: $i] :
( min_precedes(sK13(X0),sK14(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_113,plain,
atomic(tptp3),
inference(cnf_transformation,[],[f188]) ).
tcf(c_120,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ root_occ(X0,sK15)
| ~ occurrence_of(X1,tptp2)
| ~ occurrence_of(X0,tptp3)
| ~ min_precedes(X0,X1,tptp0) ),
inference(cnf_transformation,[],[f197]) ).
tcf(c_121,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ root_occ(X0,sK15)
| ~ occurrence_of(X1,tptp1)
| ~ occurrence_of(X0,tptp3)
| ~ min_precedes(X0,X1,tptp0) ),
inference(cnf_transformation,[],[f196]) ).
tcf(c_122,negated_conjecture,
occurrence_of(sK15,tptp0),
inference(cnf_transformation,[],[f195]) ).
tcf(c_647,plain,
! [X0: $i,X1: $i,X2: $i] :
( arboreal(X0)
| ~ precedes(X2,X1)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_67,c_88]) ).
tcf(c_648,plain,
! [X0: $i,X1: $i] :
( arboreal(X1)
| ~ precedes(X0,X1) ),
inference(unflattening,[status(thm)],[c_647]) ).
tcf(c_666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( arboreal(X3)
| min_precedes(sK11(X0,X2,X4),X2,X4)
| ~ min_precedes(X0,X2,X4)
| ( X4 != X5 )
| ( X2 != X3 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_96,c_94]) ).
tcf(c_667,plain,
! [X0: $i,X1: $i,X2: $i] :
( arboreal(X1)
| min_precedes(sK11(X0,X1,X2),X1,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(unflattening,[status(thm)],[c_666]) ).
tcf(c_669,plain,
! [X0: $i,X1: $i,X2: $i] :
( arboreal(X1)
| ~ min_precedes(X0,X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_667,c_92,c_648]) ).
tcf(c_2982,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X0_iProver_sK11_3: iProver_sK11_3,X1_iProver_sK11_1: iProver_sK11_1] :
( arboreal(X1_iProver_sK11_1)
| ~ min_precedes(X0_iProver_sK11_1,X1_iProver_sK11_1,X0_iProver_sK11_3) ),
inference(subtyping,[status(esa)],[c_669]) ).
tcf(c_2985,negated_conjecture,
occurrence_of(sK15,tptp0),
inference(subtyping,[status(esa)],[c_122]) ).
tcf(c_2986,negated_conjecture,
! [X0_iProver_sK11_1: iProver_sK11_1,X1_iProver_sK11_1: iProver_sK11_1] :
( ~ root_occ(X0_iProver_sK11_1,sK15)
| ~ occurrence_of(X1_iProver_sK11_1,tptp1)
| ~ occurrence_of(X0_iProver_sK11_1,tptp3)
| ~ min_precedes(X0_iProver_sK11_1,X1_iProver_sK11_1,tptp0) ),
inference(subtyping,[status(esa)],[c_121]) ).
tcf(c_2987,negated_conjecture,
! [X0_iProver_sK11_1: iProver_sK11_1,X1_iProver_sK11_1: iProver_sK11_1] :
( ~ root_occ(X0_iProver_sK11_1,sK15)
| ~ occurrence_of(X1_iProver_sK11_1,tptp2)
| ~ occurrence_of(X0_iProver_sK11_1,tptp3)
| ~ min_precedes(X0_iProver_sK11_1,X1_iProver_sK11_1,tptp0) ),
inference(subtyping,[status(esa)],[c_120]) ).
tcf(c_3000,plain,
! [X0_iProver_sK11_1: iProver_sK11_1] :
( min_precedes(sK13(X0_iProver_sK11_1),sK14(X0_iProver_sK11_1),tptp0)
| ~ occurrence_of(X0_iProver_sK11_1,tptp0) ),
inference(subtyping,[status(esa)],[c_107]) ).
tcf(c_3001,plain,
! [X0_iProver_sK11_1: iProver_sK11_1] :
( occurrence_of(sK14(X0_iProver_sK11_1),tptp1)
| occurrence_of(sK14(X0_iProver_sK11_1),tptp2)
| ~ occurrence_of(X0_iProver_sK11_1,tptp0) ),
inference(subtyping,[status(esa)],[c_106]) ).
tcf(c_3002,plain,
! [X0_iProver_sK11_1: iProver_sK11_1] :
( min_precedes(sK12(X0_iProver_sK11_1),sK13(X0_iProver_sK11_1),tptp0)
| ~ occurrence_of(X0_iProver_sK11_1,tptp0) ),
inference(subtyping,[status(esa)],[c_105]) ).
tcf(c_3004,plain,
! [X0_iProver_sK11_1: iProver_sK11_1] :
( root_occ(sK12(X0_iProver_sK11_1),X0_iProver_sK11_1)
| ~ occurrence_of(X0_iProver_sK11_1,tptp0) ),
inference(subtyping,[status(esa)],[c_103]) ).
tcf(c_3005,plain,
! [X0_iProver_sK11_1: iProver_sK11_1] :
( occurrence_of(sK12(X0_iProver_sK11_1),tptp3)
| ~ occurrence_of(X0_iProver_sK11_1,tptp0) ),
inference(subtyping,[status(esa)],[c_102]) ).
tcf(c_3008,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X0_iProver_sK11_3: iProver_sK11_3,X1_iProver_sK11_1: iProver_sK11_1,X2_iProver_sK11_1: iProver_sK11_1] :
( ( X1_iProver_sK11_1 = X2_iProver_sK11_1 )
| ~ root_occ(X2_iProver_sK11_1,X0_iProver_sK11_1)
| ~ root_occ(X1_iProver_sK11_1,X0_iProver_sK11_1)
| ~ occurrence_of(X0_iProver_sK11_1,X0_iProver_sK11_3) ),
inference(subtyping,[status(esa)],[c_99]) ).
tcf(c_3010,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X0_iProver_sK11_3: iProver_sK11_3,X1_iProver_sK11_1: iProver_sK11_1,X2_iProver_sK11_1: iProver_sK11_1] :
( subactivity_occurrence(X0_iProver_sK11_1,X2_iProver_sK11_1)
| ~ subactivity_occurrence(X1_iProver_sK11_1,X2_iProver_sK11_1)
| ~ occurrence_of(X2_iProver_sK11_1,X0_iProver_sK11_3)
| ~ min_precedes(X0_iProver_sK11_1,X1_iProver_sK11_1,X0_iProver_sK11_3) ),
inference(subtyping,[status(esa)],[c_97]) ).
tcf(c_3012,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X0_iProver_sK11_3: iProver_sK11_3,X1_iProver_sK11_1: iProver_sK11_1] :
( min_precedes(sK10(X1_iProver_sK11_1,X0_iProver_sK11_3),X1_iProver_sK11_1,X0_iProver_sK11_3)
| ~ min_precedes(X0_iProver_sK11_1,X1_iProver_sK11_1,X0_iProver_sK11_3) ),
inference(subtyping,[status(esa)],[c_91]) ).
tcf(c_3013,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X0_iProver_sK11_3: iProver_sK11_3,X1_iProver_sK11_1: iProver_sK11_1] :
( root(sK10(X1_iProver_sK11_1,X0_iProver_sK11_3),X0_iProver_sK11_3)
| ~ min_precedes(X0_iProver_sK11_1,X1_iProver_sK11_1,X0_iProver_sK11_3) ),
inference(subtyping,[status(esa)],[c_90]) ).
tcf(c_3019,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X1_iProver_sK11_1: iProver_sK11_1] :
( root(X0_iProver_sK11_1,sK9(X0_iProver_sK11_1,X1_iProver_sK11_1))
| ~ root_occ(X0_iProver_sK11_1,X1_iProver_sK11_1) ),
inference(subtyping,[status(esa)],[c_84]) ).
tcf(c_3021,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X1_iProver_sK11_1: iProver_sK11_1] :
( occurrence_of(X1_iProver_sK11_1,sK9(X0_iProver_sK11_1,X1_iProver_sK11_1))
| ~ root_occ(X0_iProver_sK11_1,X1_iProver_sK11_1) ),
inference(subtyping,[status(esa)],[c_82]) ).
tcf(c_3022,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X0_iProver_sK11_3: iProver_sK11_3,X1_iProver_sK11_1: iProver_sK11_1] :
( root_occ(X0_iProver_sK11_1,X1_iProver_sK11_1)
| ~ subactivity_occurrence(X0_iProver_sK11_1,X1_iProver_sK11_1)
| ~ occurrence_of(X1_iProver_sK11_1,X0_iProver_sK11_3)
| ~ root(X0_iProver_sK11_1,X0_iProver_sK11_3) ),
inference(subtyping,[status(esa)],[c_81]) ).
tcf(c_3029,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X0_iProver_sK11_3: iProver_sK11_3] :
( arboreal(X0_iProver_sK11_1)
| ~ atomic(X0_iProver_sK11_3)
| ~ occurrence_of(X0_iProver_sK11_1,X0_iProver_sK11_3) ),
inference(subtyping,[status(esa)],[c_74]) ).
tcf(c_3038,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X0_iProver_sK11_3: iProver_sK11_3,X1_iProver_sK11_1: iProver_sK11_1,X2_iProver_sK11_1: iProver_sK11_1] :
( ~ root_occ(X1_iProver_sK11_1,X2_iProver_sK11_1)
| ~ occurrence_of(X2_iProver_sK11_1,X0_iProver_sK11_3)
| ~ min_precedes(X0_iProver_sK11_1,X1_iProver_sK11_1,X0_iProver_sK11_3) ),
inference(subtyping,[status(esa)],[c_63]) ).
tcf(c_3040,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X0_iProver_sK11_3: iProver_sK11_3,X1_iProver_sK11_3: iProver_sK11_3] :
( ( X0_iProver_sK11_3 = X1_iProver_sK11_3 )
| ~ occurrence_of(X0_iProver_sK11_1,X1_iProver_sK11_3)
| ~ occurrence_of(X0_iProver_sK11_1,X0_iProver_sK11_3) ),
inference(subtyping,[status(esa)],[c_61]) ).
tcf(c_3043,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X0_iProver_sK11_3: iProver_sK11_3,X1_iProver_sK11_1: iProver_sK11_1] :
( subactivity_occurrence(X1_iProver_sK11_1,sK2(X0_iProver_sK11_3,X0_iProver_sK11_1,X1_iProver_sK11_1))
| ~ min_precedes(X0_iProver_sK11_1,X1_iProver_sK11_1,X0_iProver_sK11_3) ),
inference(subtyping,[status(esa)],[c_58]) ).
tcf(c_3044,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X0_iProver_sK11_3: iProver_sK11_3,X1_iProver_sK11_1: iProver_sK11_1] :
( subactivity_occurrence(X0_iProver_sK11_1,sK2(X0_iProver_sK11_3,X0_iProver_sK11_1,X1_iProver_sK11_1))
| ~ min_precedes(X0_iProver_sK11_1,X1_iProver_sK11_1,X0_iProver_sK11_3) ),
inference(subtyping,[status(esa)],[c_57]) ).
tcf(c_3045,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X0_iProver_sK11_3: iProver_sK11_3,X1_iProver_sK11_1: iProver_sK11_1] :
( occurrence_of(sK2(X0_iProver_sK11_3,X0_iProver_sK11_1,X1_iProver_sK11_1),X0_iProver_sK11_3)
| ~ min_precedes(X0_iProver_sK11_1,X1_iProver_sK11_1,X0_iProver_sK11_3) ),
inference(subtyping,[status(esa)],[c_56]) ).
tcf(c_3046,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X0_iProver_sK11_3: iProver_sK11_3,X1_iProver_sK11_1: iProver_sK11_1,X2_iProver_sK11_1: iProver_sK11_1] :
( min_precedes(X2_iProver_sK11_1,X1_iProver_sK11_1,X0_iProver_sK11_3)
| min_precedes(X1_iProver_sK11_1,X2_iProver_sK11_1,X0_iProver_sK11_3)
| ( X1_iProver_sK11_1 = X2_iProver_sK11_1 )
| ~ arboreal(X2_iProver_sK11_1)
| ~ arboreal(X1_iProver_sK11_1)
| ~ subactivity_occurrence(X2_iProver_sK11_1,X0_iProver_sK11_1)
| ~ subactivity_occurrence(X1_iProver_sK11_1,X0_iProver_sK11_1)
| ~ occurrence_of(X0_iProver_sK11_1,X0_iProver_sK11_3) ),
inference(subtyping,[status(esa)],[c_54]) ).
tcf(c_3053,plain,
! [X0_iProver_sK11_1: iProver_sK11_1] : X0_iProver_sK11_1 = X0_iProver_sK11_1,
theory(equality) ).
tcf(c_3054,plain,
! [X0_iProver_sK11_3: iProver_sK11_3] : X0_iProver_sK11_3 = X0_iProver_sK11_3,
theory(equality) ).
tcf(c_3057,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X0_iProver_sK11_3: iProver_sK11_3,X1_iProver_sK11_1: iProver_sK11_1,X1_iProver_sK11_3: iProver_sK11_3] :
( root(X0_iProver_sK11_1,X0_iProver_sK11_3)
| ~ root(X1_iProver_sK11_1,X1_iProver_sK11_3)
| ( X0_iProver_sK11_3 != X1_iProver_sK11_3 )
| ( X0_iProver_sK11_1 != X1_iProver_sK11_1 ) ),
theory(equality) ).
tcf(c_3058,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X0_iProver_sK11_3: iProver_sK11_3,X1_iProver_sK11_1: iProver_sK11_1,X1_iProver_sK11_3: iProver_sK11_3] :
( occurrence_of(X0_iProver_sK11_1,X0_iProver_sK11_3)
| ~ occurrence_of(X1_iProver_sK11_1,X1_iProver_sK11_3)
| ( X0_iProver_sK11_3 != X1_iProver_sK11_3 )
| ( X0_iProver_sK11_1 != X1_iProver_sK11_1 ) ),
theory(equality) ).
tcf(c_3062,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X1_iProver_sK11_1: iProver_sK11_1,X2_iProver_sK11_1: iProver_sK11_1,X3_iProver_sK11_1: iProver_sK11_1] :
( root_occ(X0_iProver_sK11_1,X2_iProver_sK11_1)
| ~ root_occ(X1_iProver_sK11_1,X3_iProver_sK11_1)
| ( X2_iProver_sK11_1 != X3_iProver_sK11_1 )
| ( X0_iProver_sK11_1 != X1_iProver_sK11_1 ) ),
theory(equality) ).
tcf(c_3066,plain,
sK15 = sK15,
inference(instantiation,[status(thm)],[c_3053]) ).
tcf(c_3076,plain,
( min_precedes(sK13(sK15),sK14(sK15),tptp0)
| ~ occurrence_of(sK15,tptp0) ),
inference(instantiation,[status(thm)],[c_3000]) ).
tcf(c_3078,plain,
( min_precedes(sK12(sK15),sK13(sK15),tptp0)
| ~ occurrence_of(sK15,tptp0) ),
inference(instantiation,[status(thm)],[c_3002]) ).
tcf(c_3080,plain,
( root_occ(sK12(sK15),sK15)
| ~ occurrence_of(sK15,tptp0) ),
inference(instantiation,[status(thm)],[c_3004]) ).
tcf(c_3081,plain,
( occurrence_of(sK12(sK15),tptp3)
| ~ occurrence_of(sK15,tptp0) ),
inference(instantiation,[status(thm)],[c_3005]) ).
tcf(c_4012,plain,
! [X0_iProver_sK11_1: iProver_sK11_1] :
( min_precedes(sK10(sK14(X0_iProver_sK11_1),tptp0),sK14(X0_iProver_sK11_1),tptp0)
| ~ min_precedes(sK13(X0_iProver_sK11_1),sK14(X0_iProver_sK11_1),tptp0) ),
inference(instantiation,[status(thm)],[c_3012]) ).
tcf(c_4013,plain,
( min_precedes(sK10(sK14(sK15),tptp0),sK14(sK15),tptp0)
| ~ min_precedes(sK13(sK15),sK14(sK15),tptp0) ),
inference(instantiation,[status(thm)],[c_4012]) ).
tcf(c_4016,plain,
! [X0_iProver_sK11_1: iProver_sK11_1] :
( root(sK10(sK14(X0_iProver_sK11_1),tptp0),tptp0)
| ~ min_precedes(sK13(X0_iProver_sK11_1),sK14(X0_iProver_sK11_1),tptp0) ),
inference(instantiation,[status(thm)],[c_3013]) ).
tcf(c_4017,plain,
( root(sK10(sK14(sK15),tptp0),tptp0)
| ~ min_precedes(sK13(sK15),sK14(sK15),tptp0) ),
inference(instantiation,[status(thm)],[c_4016]) ).
tcf(c_4020,plain,
! [X0_iProver_sK11_1: iProver_sK11_1] :
( root(sK12(X0_iProver_sK11_1),sK9(sK12(X0_iProver_sK11_1),X0_iProver_sK11_1))
| ~ root_occ(sK12(X0_iProver_sK11_1),X0_iProver_sK11_1) ),
inference(instantiation,[status(thm)],[c_3019]) ).
tcf(c_4021,plain,
( root(sK12(sK15),sK9(sK12(sK15),sK15))
| ~ root_occ(sK12(sK15),sK15) ),
inference(instantiation,[status(thm)],[c_4020]) ).
tcf(c_4022,plain,
! [X0_iProver_sK11_1: iProver_sK11_1] :
( occurrence_of(X0_iProver_sK11_1,sK9(sK12(X0_iProver_sK11_1),X0_iProver_sK11_1))
| ~ root_occ(sK12(X0_iProver_sK11_1),X0_iProver_sK11_1) ),
inference(instantiation,[status(thm)],[c_3021]) ).
tcf(c_4023,plain,
( occurrence_of(sK15,sK9(sK12(sK15),sK15))
| ~ root_occ(sK12(sK15),sK15) ),
inference(instantiation,[status(thm)],[c_4022]) ).
tcf(c_4028,plain,
! [X0_iProver_sK11_1: iProver_sK11_1] :
( subactivity_occurrence(sK14(X0_iProver_sK11_1),sK2(tptp0,sK13(X0_iProver_sK11_1),sK14(X0_iProver_sK11_1)))
| ~ min_precedes(sK13(X0_iProver_sK11_1),sK14(X0_iProver_sK11_1),tptp0) ),
inference(instantiation,[status(thm)],[c_3043]) ).
tcf(c_4029,plain,
( subactivity_occurrence(sK14(sK15),sK2(tptp0,sK13(sK15),sK14(sK15)))
| ~ min_precedes(sK13(sK15),sK14(sK15),tptp0) ),
inference(instantiation,[status(thm)],[c_4028]) ).
tcf(c_4032,plain,
! [X0_iProver_sK11_1: iProver_sK11_1] :
( subactivity_occurrence(sK13(X0_iProver_sK11_1),sK2(tptp0,sK13(X0_iProver_sK11_1),sK14(X0_iProver_sK11_1)))
| ~ min_precedes(sK13(X0_iProver_sK11_1),sK14(X0_iProver_sK11_1),tptp0) ),
inference(instantiation,[status(thm)],[c_3044]) ).
tcf(c_4033,plain,
( subactivity_occurrence(sK13(sK15),sK2(tptp0,sK13(sK15),sK14(sK15)))
| ~ min_precedes(sK13(sK15),sK14(sK15),tptp0) ),
inference(instantiation,[status(thm)],[c_4032]) ).
tcf(c_4036,plain,
! [X0_iProver_sK11_1: iProver_sK11_1] :
( occurrence_of(sK2(tptp0,sK13(X0_iProver_sK11_1),sK14(X0_iProver_sK11_1)),tptp0)
| ~ min_precedes(sK13(X0_iProver_sK11_1),sK14(X0_iProver_sK11_1),tptp0) ),
inference(instantiation,[status(thm)],[c_3045]) ).
tcf(c_4037,plain,
( occurrence_of(sK2(tptp0,sK13(sK15),sK14(sK15)),tptp0)
| ~ min_precedes(sK13(sK15),sK14(sK15),tptp0) ),
inference(instantiation,[status(thm)],[c_4036]) ).
tcf(c_4046,plain,
! [X0_iProver_sK11_1: iProver_sK11_1] :
( arboreal(sK14(X0_iProver_sK11_1))
| ~ min_precedes(sK13(X0_iProver_sK11_1),sK14(X0_iProver_sK11_1),tptp0) ),
inference(instantiation,[status(thm)],[c_2982]) ).
tcf(c_4047,plain,
( arboreal(sK14(sK15))
| ~ min_precedes(sK13(sK15),sK14(sK15),tptp0) ),
inference(instantiation,[status(thm)],[c_4046]) ).
tcf(c_4106,plain,
! [X0_iProver_sK11_1: iProver_sK11_1] :
( arboreal(X0_iProver_sK11_1)
| ~ atomic(tptp3)
| ~ occurrence_of(X0_iProver_sK11_1,tptp3) ),
inference(instantiation,[status(thm)],[c_3029]) ).
tcf(c_4128,plain,
! [X0_iProver_sK11_1: iProver_sK11_1] :
( occurrence_of(sK2(tptp0,sK10(sK14(X0_iProver_sK11_1),tptp0),sK14(X0_iProver_sK11_1)),tptp0)
| ~ min_precedes(sK10(sK14(X0_iProver_sK11_1),tptp0),sK14(X0_iProver_sK11_1),tptp0) ),
inference(instantiation,[status(thm)],[c_3045]) ).
tcf(c_4129,plain,
! [X0_iProver_sK11_1: iProver_sK11_1] :
( subactivity_occurrence(sK10(sK14(X0_iProver_sK11_1),tptp0),sK2(tptp0,sK10(sK14(X0_iProver_sK11_1),tptp0),sK14(X0_iProver_sK11_1)))
| ~ min_precedes(sK10(sK14(X0_iProver_sK11_1),tptp0),sK14(X0_iProver_sK11_1),tptp0) ),
inference(instantiation,[status(thm)],[c_3044]) ).
tcf(c_4130,plain,
! [X0_iProver_sK11_1: iProver_sK11_1] :
( subactivity_occurrence(sK14(X0_iProver_sK11_1),sK2(tptp0,sK10(sK14(X0_iProver_sK11_1),tptp0),sK14(X0_iProver_sK11_1)))
| ~ min_precedes(sK10(sK14(X0_iProver_sK11_1),tptp0),sK14(X0_iProver_sK11_1),tptp0) ),
inference(instantiation,[status(thm)],[c_3043]) ).
tcf(c_4140,plain,
( subactivity_occurrence(sK14(sK15),sK2(tptp0,sK10(sK14(sK15),tptp0),sK14(sK15)))
| ~ min_precedes(sK10(sK14(sK15),tptp0),sK14(sK15),tptp0) ),
inference(instantiation,[status(thm)],[c_4130]) ).
tcf(c_4141,plain,
( subactivity_occurrence(sK10(sK14(sK15),tptp0),sK2(tptp0,sK10(sK14(sK15),tptp0),sK14(sK15)))
| ~ min_precedes(sK10(sK14(sK15),tptp0),sK14(sK15),tptp0) ),
inference(instantiation,[status(thm)],[c_4129]) ).
tcf(c_4142,plain,
( occurrence_of(sK2(tptp0,sK10(sK14(sK15),tptp0),sK14(sK15)),tptp0)
| ~ min_precedes(sK10(sK14(sK15),tptp0),sK14(sK15),tptp0) ),
inference(instantiation,[status(thm)],[c_4128]) ).
tcf(c_4262,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X0_iProver_sK11_3: iProver_sK11_3,X1_iProver_sK11_1: iProver_sK11_1] :
( subactivity_occurrence(X1_iProver_sK11_1,sK2(tptp0,sK13(X0_iProver_sK11_1),sK14(X0_iProver_sK11_1)))
| ~ min_precedes(X1_iProver_sK11_1,sK13(X0_iProver_sK11_1),X0_iProver_sK11_3)
| ~ occurrence_of(sK2(tptp0,sK13(X0_iProver_sK11_1),sK14(X0_iProver_sK11_1)),X0_iProver_sK11_3)
| ~ subactivity_occurrence(sK13(X0_iProver_sK11_1),sK2(tptp0,sK13(X0_iProver_sK11_1),sK14(X0_iProver_sK11_1))) ),
inference(instantiation,[status(thm)],[c_3010]) ).
tcf(c_4456,plain,
! [X0_iProver_sK11_1: iProver_sK11_1] :
( arboreal(sK12(X0_iProver_sK11_1))
| ~ atomic(tptp3)
| ~ occurrence_of(sK12(X0_iProver_sK11_1),tptp3) ),
inference(instantiation,[status(thm)],[c_4106]) ).
tcf(c_4457,plain,
( arboreal(sK12(sK15))
| ~ atomic(tptp3)
| ~ occurrence_of(sK12(sK15),tptp3) ),
inference(instantiation,[status(thm)],[c_4456]) ).
tcf(c_4522,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X0_iProver_sK11_3: iProver_sK11_3] :
( root_occ(sK10(sK14(X0_iProver_sK11_1),tptp0),sK2(tptp0,sK10(sK14(X0_iProver_sK11_1),tptp0),sK14(X0_iProver_sK11_1)))
| ~ root(sK10(sK14(X0_iProver_sK11_1),tptp0),X0_iProver_sK11_3)
| ~ occurrence_of(sK2(tptp0,sK10(sK14(X0_iProver_sK11_1),tptp0),sK14(X0_iProver_sK11_1)),X0_iProver_sK11_3)
| ~ subactivity_occurrence(sK10(sK14(X0_iProver_sK11_1),tptp0),sK2(tptp0,sK10(sK14(X0_iProver_sK11_1),tptp0),sK14(X0_iProver_sK11_1))) ),
inference(instantiation,[status(thm)],[c_3022]) ).
tcf(c_4523,plain,
( root_occ(sK10(sK14(sK15),tptp0),sK2(tptp0,sK10(sK14(sK15),tptp0),sK14(sK15)))
| ~ root(sK10(sK14(sK15),tptp0),tptp0)
| ~ occurrence_of(sK2(tptp0,sK10(sK14(sK15),tptp0),sK14(sK15)),tptp0)
| ~ subactivity_occurrence(sK10(sK14(sK15),tptp0),sK2(tptp0,sK10(sK14(sK15),tptp0),sK14(sK15))) ),
inference(instantiation,[status(thm)],[c_4522]) ).
tcf(c_4787,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X0_iProver_sK11_3: iProver_sK11_3,X1_iProver_sK11_1: iProver_sK11_1] :
( ( X0_iProver_sK11_3 = sK9(sK12(X1_iProver_sK11_1),X1_iProver_sK11_1) )
| ~ occurrence_of(X0_iProver_sK11_1,X0_iProver_sK11_3)
| ~ occurrence_of(X0_iProver_sK11_1,sK9(sK12(X1_iProver_sK11_1),X1_iProver_sK11_1)) ),
inference(instantiation,[status(thm)],[c_3040]) ).
tcf(c_4788,plain,
( ( tptp0 = sK9(sK12(sK15),sK15) )
| ~ occurrence_of(sK15,tptp0)
| ~ occurrence_of(sK15,sK9(sK12(sK15),sK15)) ),
inference(instantiation,[status(thm)],[c_4787]) ).
tcf(c_4998,plain,
! [X0_iProver_sK11_1: iProver_sK11_1] :
( min_precedes(sK10(sK14(X0_iProver_sK11_1),tptp0),sK14(X0_iProver_sK11_1),tptp0)
| ~ occurrence_of(X0_iProver_sK11_1,tptp0) ),
inference(superposition,[status(thm)],[c_3000,c_3012]) ).
tcf(c_5052,plain,
! [X0_iProver_sK11_1: iProver_sK11_1] :
( subactivity_occurrence(sK12(X0_iProver_sK11_1),sK2(tptp0,sK13(X0_iProver_sK11_1),sK14(X0_iProver_sK11_1)))
| ~ min_precedes(sK12(X0_iProver_sK11_1),sK13(X0_iProver_sK11_1),tptp0)
| ~ occurrence_of(sK2(tptp0,sK13(X0_iProver_sK11_1),sK14(X0_iProver_sK11_1)),tptp0)
| ~ subactivity_occurrence(sK13(X0_iProver_sK11_1),sK2(tptp0,sK13(X0_iProver_sK11_1),sK14(X0_iProver_sK11_1))) ),
inference(instantiation,[status(thm)],[c_4262]) ).
tcf(c_5053,plain,
( subactivity_occurrence(sK12(sK15),sK2(tptp0,sK13(sK15),sK14(sK15)))
| ~ min_precedes(sK12(sK15),sK13(sK15),tptp0)
| ~ occurrence_of(sK2(tptp0,sK13(sK15),sK14(sK15)),tptp0)
| ~ subactivity_occurrence(sK13(sK15),sK2(tptp0,sK13(sK15),sK14(sK15))) ),
inference(instantiation,[status(thm)],[c_5052]) ).
tcf(c_5222,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X0_iProver_sK11_3: iProver_sK11_3,X1_iProver_sK11_1: iProver_sK11_1] :
( ~ occurrence_of(X1_iProver_sK11_1,X0_iProver_sK11_3)
| ~ root_occ(sK12(X1_iProver_sK11_1),X1_iProver_sK11_1)
| ~ min_precedes(X0_iProver_sK11_1,sK12(X1_iProver_sK11_1),X0_iProver_sK11_3) ),
inference(instantiation,[status(thm)],[c_3038]) ).
tcf(c_5227,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X1_iProver_sK11_1: iProver_sK11_1,X2_iProver_sK11_1: iProver_sK11_1] :
( root_occ(X0_iProver_sK11_1,X2_iProver_sK11_1)
| ~ root_occ(sK12(X1_iProver_sK11_1),X1_iProver_sK11_1)
| ( X2_iProver_sK11_1 != X1_iProver_sK11_1 )
| ( X0_iProver_sK11_1 != sK12(X1_iProver_sK11_1) ) ),
inference(instantiation,[status(thm)],[c_3062]) ).
tcf(c_5294,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X0_iProver_sK11_3: iProver_sK11_3,X1_iProver_sK11_1: iProver_sK11_1] :
( root(X0_iProver_sK11_1,X0_iProver_sK11_3)
| ~ root(sK12(X1_iProver_sK11_1),sK9(sK12(X1_iProver_sK11_1),X1_iProver_sK11_1))
| ( X0_iProver_sK11_3 != sK9(sK12(X1_iProver_sK11_1),X1_iProver_sK11_1) )
| ( X0_iProver_sK11_1 != sK12(X1_iProver_sK11_1) ) ),
inference(instantiation,[status(thm)],[c_3057]) ).
tcf(c_5356,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X0_iProver_sK11_3: iProver_sK11_3,X1_iProver_sK11_1: iProver_sK11_1,X2_iProver_sK11_1: iProver_sK11_1] :
( min_precedes(X2_iProver_sK11_1,sK12(X0_iProver_sK11_1),X0_iProver_sK11_3)
| min_precedes(sK12(X0_iProver_sK11_1),X2_iProver_sK11_1,X0_iProver_sK11_3)
| ( X2_iProver_sK11_1 = sK12(X0_iProver_sK11_1) )
| ~ arboreal(X2_iProver_sK11_1)
| ~ arboreal(sK12(X0_iProver_sK11_1))
| ~ subactivity_occurrence(X2_iProver_sK11_1,X1_iProver_sK11_1)
| ~ occurrence_of(X1_iProver_sK11_1,X0_iProver_sK11_3)
| ~ subactivity_occurrence(sK12(X0_iProver_sK11_1),X1_iProver_sK11_1) ),
inference(instantiation,[status(thm)],[c_3046]) ).
tcf(c_5358,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X0_iProver_sK11_3: iProver_sK11_3,X1_iProver_sK11_1: iProver_sK11_1,X2_iProver_sK11_1: iProver_sK11_1] :
( ( X2_iProver_sK11_1 = sK12(X0_iProver_sK11_1) )
| ~ root_occ(X2_iProver_sK11_1,X1_iProver_sK11_1)
| ~ occurrence_of(X1_iProver_sK11_1,X0_iProver_sK11_3)
| ~ root_occ(sK12(X0_iProver_sK11_1),X1_iProver_sK11_1) ),
inference(instantiation,[status(thm)],[c_3008]) ).
tcf(c_5572,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X0_iProver_sK11_3: iProver_sK11_3] :
( root(sK12(X0_iProver_sK11_1),X0_iProver_sK11_3)
| ~ root(sK12(X0_iProver_sK11_1),sK9(sK12(X0_iProver_sK11_1),X0_iProver_sK11_1))
| ( X0_iProver_sK11_3 != sK9(sK12(X0_iProver_sK11_1),X0_iProver_sK11_1) )
| ( sK12(X0_iProver_sK11_1) != sK12(X0_iProver_sK11_1) ) ),
inference(instantiation,[status(thm)],[c_5294]) ).
tcf(c_5573,plain,
( root(sK12(sK15),tptp0)
| ~ root(sK12(sK15),sK9(sK12(sK15),sK15))
| ( tptp0 != sK9(sK12(sK15),sK15) )
| ( sK12(sK15) != sK12(sK15) ) ),
inference(instantiation,[status(thm)],[c_5572]) ).
tcf(c_5797,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X0_iProver_sK11_3: iProver_sK11_3,X1_iProver_sK11_1: iProver_sK11_1] :
( subactivity_occurrence(X1_iProver_sK11_1,sK2(tptp0,sK10(sK14(X0_iProver_sK11_1),tptp0),sK14(X0_iProver_sK11_1)))
| ~ min_precedes(X1_iProver_sK11_1,sK14(X0_iProver_sK11_1),X0_iProver_sK11_3)
| ~ occurrence_of(sK2(tptp0,sK10(sK14(X0_iProver_sK11_1),tptp0),sK14(X0_iProver_sK11_1)),X0_iProver_sK11_3)
| ~ subactivity_occurrence(sK14(X0_iProver_sK11_1),sK2(tptp0,sK10(sK14(X0_iProver_sK11_1),tptp0),sK14(X0_iProver_sK11_1))) ),
inference(instantiation,[status(thm)],[c_3010]) ).
tcf(c_6070,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X0_iProver_sK11_3: iProver_sK11_3,X1_iProver_sK11_1: iProver_sK11_1] :
( occurrence_of(X0_iProver_sK11_1,X0_iProver_sK11_3)
| ~ occurrence_of(X1_iProver_sK11_1,X0_iProver_sK11_3)
| ( X0_iProver_sK11_1 != X1_iProver_sK11_1 ) ),
inference(resolution,[status(thm)],[c_3058,c_3054]) ).
tcf(c_6259,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X0_iProver_sK11_3: iProver_sK11_3,X1_iProver_sK11_1: iProver_sK11_1] :
( min_precedes(sK14(X1_iProver_sK11_1),sK12(X0_iProver_sK11_1),X0_iProver_sK11_3)
| min_precedes(sK12(X0_iProver_sK11_1),sK14(X1_iProver_sK11_1),X0_iProver_sK11_3)
| ( sK14(X1_iProver_sK11_1) = sK12(X0_iProver_sK11_1) )
| ~ arboreal(sK14(X1_iProver_sK11_1))
| ~ arboreal(sK12(X0_iProver_sK11_1))
| ~ occurrence_of(sK2(tptp0,sK13(X1_iProver_sK11_1),sK14(X1_iProver_sK11_1)),X0_iProver_sK11_3)
| ~ subactivity_occurrence(sK14(X1_iProver_sK11_1),sK2(tptp0,sK13(X1_iProver_sK11_1),sK14(X1_iProver_sK11_1)))
| ~ subactivity_occurrence(sK12(X0_iProver_sK11_1),sK2(tptp0,sK13(X1_iProver_sK11_1),sK14(X1_iProver_sK11_1))) ),
inference(instantiation,[status(thm)],[c_5356]) ).
tcf(c_6260,plain,
( min_precedes(sK14(sK15),sK12(sK15),tptp0)
| min_precedes(sK12(sK15),sK14(sK15),tptp0)
| ( sK14(sK15) = sK12(sK15) )
| ~ arboreal(sK14(sK15))
| ~ arboreal(sK12(sK15))
| ~ occurrence_of(sK2(tptp0,sK13(sK15),sK14(sK15)),tptp0)
| ~ subactivity_occurrence(sK14(sK15),sK2(tptp0,sK13(sK15),sK14(sK15)))
| ~ subactivity_occurrence(sK12(sK15),sK2(tptp0,sK13(sK15),sK14(sK15))) ),
inference(instantiation,[status(thm)],[c_6259]) ).
tcf(c_6279,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X0_iProver_sK11_3: iProver_sK11_3,X1_iProver_sK11_1: iProver_sK11_1] :
( ( sK12(X1_iProver_sK11_1) = sK12(X0_iProver_sK11_1) )
| ~ occurrence_of(X1_iProver_sK11_1,X0_iProver_sK11_3)
| ~ root_occ(sK12(X1_iProver_sK11_1),X1_iProver_sK11_1)
| ~ root_occ(sK12(X0_iProver_sK11_1),X1_iProver_sK11_1) ),
inference(instantiation,[status(thm)],[c_5358]) ).
tcf(c_6280,plain,
( ( sK12(sK15) = sK12(sK15) )
| ~ occurrence_of(sK15,tptp0)
| ~ root_occ(sK12(sK15),sK15) ),
inference(instantiation,[status(thm)],[c_6279]) ).
tcf(c_6334,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X1_iProver_sK11_1: iProver_sK11_1,X2_iProver_sK11_1: iProver_sK11_1] :
( root_occ(X0_iProver_sK11_1,X2_iProver_sK11_1)
| ~ root_occ(X1_iProver_sK11_1,X2_iProver_sK11_1)
| ( X0_iProver_sK11_1 != X1_iProver_sK11_1 ) ),
inference(resolution,[status(thm)],[c_3062,c_3053]) ).
tcf(c_6353,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X1_iProver_sK11_1: iProver_sK11_1] :
( ~ occurrence_of(X1_iProver_sK11_1,tptp0)
| ~ occurrence_of(X0_iProver_sK11_1,tptp0)
| ~ root_occ(sK14(X0_iProver_sK11_1),X1_iProver_sK11_1) ),
inference(superposition,[status(thm)],[c_3000,c_3038]) ).
tcf(c_6358,plain,
( ~ occurrence_of(sK15,tptp0)
| ~ root_occ(sK14(sK15),sK15) ),
inference(instantiation,[status(thm)],[c_6353]) ).
tcf(c_6735,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X0_iProver_sK11_3: iProver_sK11_3,X1_iProver_sK11_1: iProver_sK11_1] :
( ( sK10(sK14(X0_iProver_sK11_1),tptp0) = sK12(X1_iProver_sK11_1) )
| ~ occurrence_of(sK2(tptp0,sK10(sK14(X0_iProver_sK11_1),tptp0),sK14(X0_iProver_sK11_1)),X0_iProver_sK11_3)
| ~ root_occ(sK12(X1_iProver_sK11_1),sK2(tptp0,sK10(sK14(X0_iProver_sK11_1),tptp0),sK14(X0_iProver_sK11_1)))
| ~ root_occ(sK10(sK14(X0_iProver_sK11_1),tptp0),sK2(tptp0,sK10(sK14(X0_iProver_sK11_1),tptp0),sK14(X0_iProver_sK11_1))) ),
inference(instantiation,[status(thm)],[c_5358]) ).
tcf(c_6740,plain,
( ( sK10(sK14(sK15),tptp0) = sK12(sK15) )
| ~ occurrence_of(sK2(tptp0,sK10(sK14(sK15),tptp0),sK14(sK15)),tptp0)
| ~ root_occ(sK12(sK15),sK2(tptp0,sK10(sK14(sK15),tptp0),sK14(sK15)))
| ~ root_occ(sK10(sK14(sK15),tptp0),sK2(tptp0,sK10(sK14(sK15),tptp0),sK14(sK15))) ),
inference(instantiation,[status(thm)],[c_6735]) ).
tcf(c_7073,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X0_iProver_sK11_3: iProver_sK11_3,X1_iProver_sK11_1: iProver_sK11_1] :
( root_occ(sK12(X0_iProver_sK11_1),X1_iProver_sK11_1)
| ~ occurrence_of(X1_iProver_sK11_1,X0_iProver_sK11_3)
| ~ subactivity_occurrence(sK12(X0_iProver_sK11_1),X1_iProver_sK11_1)
| ~ root(sK12(X0_iProver_sK11_1),X0_iProver_sK11_3) ),
inference(instantiation,[status(thm)],[c_3022]) ).
tcf(c_7190,plain,
! [X0_iProver_sK11_1: iProver_sK11_1] :
( min_precedes(sK10(sK14(X0_iProver_sK11_1),tptp0),sK14(X0_iProver_sK11_1),tptp0)
| ~ occurrence_of(X0_iProver_sK11_1,tptp0) ),
inference(resolution,[status(thm)],[c_3012,c_3000]) ).
tcf(c_7264,plain,
! [X0_iProver_sK11_1: iProver_sK11_1] :
( ~ occurrence_of(X0_iProver_sK11_1,tptp0)
| ~ occurrence_of(sK14(X0_iProver_sK11_1),tptp2)
| ~ root_occ(sK10(sK14(X0_iProver_sK11_1),tptp0),sK15)
| ~ occurrence_of(sK10(sK14(X0_iProver_sK11_1),tptp0),tptp3) ),
inference(superposition,[status(thm)],[c_4998,c_2987]) ).
tcf(c_7265,plain,
! [X0_iProver_sK11_1: iProver_sK11_1] :
( ~ occurrence_of(X0_iProver_sK11_1,tptp0)
| ~ occurrence_of(sK14(X0_iProver_sK11_1),tptp1)
| ~ root_occ(sK10(sK14(X0_iProver_sK11_1),tptp0),sK15)
| ~ occurrence_of(sK10(sK14(X0_iProver_sK11_1),tptp0),tptp3) ),
inference(superposition,[status(thm)],[c_4998,c_2986]) ).
tcf(c_7487,plain,
! [X0_iProver_sK11_1: iProver_sK11_1] :
( ~ occurrence_of(X0_iProver_sK11_1,tptp0)
| ~ occurrence_of(sK10(sK14(X0_iProver_sK11_1),tptp0),tptp3)
| ~ root_occ(sK10(sK14(X0_iProver_sK11_1),tptp0),sK15) ),
inference(global_subsumption_just,[status(thm)],[c_7264,c_3001,c_7265,c_7264]) ).
tcf(c_7488,plain,
! [X0_iProver_sK11_1: iProver_sK11_1] :
( ~ occurrence_of(X0_iProver_sK11_1,tptp0)
| ~ root_occ(sK10(sK14(X0_iProver_sK11_1),tptp0),sK15)
| ~ occurrence_of(sK10(sK14(X0_iProver_sK11_1),tptp0),tptp3) ),
inference(renaming,[status(thm)],[c_7487]) ).
tcf(c_9733,plain,
! [X0_iProver_sK11_1: iProver_sK11_1] :
( root_occ(X0_iProver_sK11_1,sK15)
| ~ subactivity_occurrence(X0_iProver_sK11_1,sK15)
| ~ root(X0_iProver_sK11_1,tptp0) ),
inference(resolution,[status(thm)],[c_3022,c_2985]) ).
tcf(c_9986,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X1_iProver_sK11_1: iProver_sK11_1,X2_iProver_sK11_1: iProver_sK11_1] :
( root_occ(sK14(X0_iProver_sK11_1),X2_iProver_sK11_1)
| ~ root_occ(sK12(X1_iProver_sK11_1),X1_iProver_sK11_1)
| ( X2_iProver_sK11_1 != X1_iProver_sK11_1 )
| ( sK14(X0_iProver_sK11_1) != sK12(X1_iProver_sK11_1) ) ),
inference(instantiation,[status(thm)],[c_5227]) ).
tcf(c_9989,plain,
( root_occ(sK14(sK15),sK15)
| ~ root_occ(sK12(sK15),sK15)
| ( sK15 != sK15 )
| ( sK14(sK15) != sK12(sK15) ) ),
inference(instantiation,[status(thm)],[c_9986]) ).
tcf(c_10101,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X0_iProver_sK11_3: iProver_sK11_3,X1_iProver_sK11_1: iProver_sK11_1] :
( ( X1_iProver_sK11_1 = X0_iProver_sK11_1 )
| ~ root_occ(X1_iProver_sK11_1,sK15)
| ~ subactivity_occurrence(X0_iProver_sK11_1,sK15)
| ~ occurrence_of(sK15,X0_iProver_sK11_3)
| ~ root(X0_iProver_sK11_1,tptp0) ),
inference(resolution,[status(thm)],[c_9733,c_3008]) ).
tcf(c_10173,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X1_iProver_sK11_1: iProver_sK11_1] :
( ( X1_iProver_sK11_1 = X0_iProver_sK11_1 )
| ~ root_occ(X1_iProver_sK11_1,sK15)
| ~ subactivity_occurrence(X0_iProver_sK11_1,sK15)
| ~ root(X0_iProver_sK11_1,tptp0) ),
inference(resolution,[status(thm)],[c_10101,c_2985]) ).
tcf(c_10186,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X1_iProver_sK11_1: iProver_sK11_1,X2_iProver_sK11_1: iProver_sK11_1] :
( root_occ(X2_iProver_sK11_1,X1_iProver_sK11_1)
| ~ root_occ(X2_iProver_sK11_1,sK15)
| ~ subactivity_occurrence(X0_iProver_sK11_1,sK15)
| ~ root(X0_iProver_sK11_1,tptp0)
| ~ root_occ(X0_iProver_sK11_1,X1_iProver_sK11_1) ),
inference(resolution,[status(thm)],[c_10173,c_6334]) ).
tcf(c_10934,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X1_iProver_sK11_1: iProver_sK11_1] :
( root_occ(sK12(sK15),X1_iProver_sK11_1)
| ~ occurrence_of(sK15,tptp0)
| ~ subactivity_occurrence(X0_iProver_sK11_1,sK15)
| ~ root(X0_iProver_sK11_1,tptp0)
| ~ root_occ(X0_iProver_sK11_1,X1_iProver_sK11_1) ),
inference(resolution,[status(thm)],[c_10186,c_3004]) ).
tcf(c_12519,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X0_iProver_sK11_3: iProver_sK11_3,X1_iProver_sK11_1: iProver_sK11_1] :
( subactivity_occurrence(sK12(X1_iProver_sK11_1),sK2(tptp0,sK10(sK14(X0_iProver_sK11_1),tptp0),sK14(X0_iProver_sK11_1)))
| ~ min_precedes(sK12(X1_iProver_sK11_1),sK14(X0_iProver_sK11_1),X0_iProver_sK11_3)
| ~ occurrence_of(sK2(tptp0,sK10(sK14(X0_iProver_sK11_1),tptp0),sK14(X0_iProver_sK11_1)),X0_iProver_sK11_3)
| ~ subactivity_occurrence(sK14(X0_iProver_sK11_1),sK2(tptp0,sK10(sK14(X0_iProver_sK11_1),tptp0),sK14(X0_iProver_sK11_1))) ),
inference(instantiation,[status(thm)],[c_5797]) ).
tcf(c_12522,plain,
( subactivity_occurrence(sK12(sK15),sK2(tptp0,sK10(sK14(sK15),tptp0),sK14(sK15)))
| ~ min_precedes(sK12(sK15),sK14(sK15),tptp0)
| ~ occurrence_of(sK2(tptp0,sK10(sK14(sK15),tptp0),sK14(sK15)),tptp0)
| ~ subactivity_occurrence(sK14(sK15),sK2(tptp0,sK10(sK14(sK15),tptp0),sK14(sK15))) ),
inference(instantiation,[status(thm)],[c_12519]) ).
tcf(c_12679,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X0_iProver_sK11_3: iProver_sK11_3,X1_iProver_sK11_1: iProver_sK11_1] :
( root_occ(sK12(X0_iProver_sK11_1),sK2(tptp0,sK10(sK14(X1_iProver_sK11_1),tptp0),sK14(X1_iProver_sK11_1)))
| ~ root(sK12(X0_iProver_sK11_1),X0_iProver_sK11_3)
| ~ occurrence_of(sK2(tptp0,sK10(sK14(X1_iProver_sK11_1),tptp0),sK14(X1_iProver_sK11_1)),X0_iProver_sK11_3)
| ~ subactivity_occurrence(sK12(X0_iProver_sK11_1),sK2(tptp0,sK10(sK14(X1_iProver_sK11_1),tptp0),sK14(X1_iProver_sK11_1))) ),
inference(instantiation,[status(thm)],[c_7073]) ).
tcf(c_12680,plain,
( root_occ(sK12(sK15),sK2(tptp0,sK10(sK14(sK15),tptp0),sK14(sK15)))
| ~ root(sK12(sK15),tptp0)
| ~ occurrence_of(sK2(tptp0,sK10(sK14(sK15),tptp0),sK14(sK15)),tptp0)
| ~ subactivity_occurrence(sK12(sK15),sK2(tptp0,sK10(sK14(sK15),tptp0),sK14(sK15))) ),
inference(instantiation,[status(thm)],[c_12679]) ).
tcf(c_13283,plain,
! [X0_iProver_sK11_1: iProver_sK11_1] :
( ~ occurrence_of(X0_iProver_sK11_1,tptp0)
| ~ occurrence_of(sK14(X0_iProver_sK11_1),tptp1)
| ~ root_occ(sK10(sK14(X0_iProver_sK11_1),tptp0),sK15)
| ~ occurrence_of(sK10(sK14(X0_iProver_sK11_1),tptp0),tptp3) ),
inference(resolution,[status(thm)],[c_7190,c_2986]) ).
tcf(c_13707,plain,
! [X0_iProver_sK11_1: iProver_sK11_1] :
( ~ occurrence_of(X0_iProver_sK11_1,tptp0)
| ~ occurrence_of(sK10(sK14(X0_iProver_sK11_1),tptp0),tptp3)
| ~ root_occ(sK10(sK14(X0_iProver_sK11_1),tptp0),sK15) ),
inference(global_subsumption_just,[status(thm)],[c_13283,c_7488]) ).
tcf(c_13708,plain,
! [X0_iProver_sK11_1: iProver_sK11_1] :
( ~ occurrence_of(X0_iProver_sK11_1,tptp0)
| ~ root_occ(sK10(sK14(X0_iProver_sK11_1),tptp0),sK15)
| ~ occurrence_of(sK10(sK14(X0_iProver_sK11_1),tptp0),tptp3) ),
inference(renaming,[status(thm)],[c_13707]) ).
tcf(c_13985,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X1_iProver_sK11_1: iProver_sK11_1] :
( root_occ(sK12(sK15),X1_iProver_sK11_1)
| ~ root_occ(X0_iProver_sK11_1,X1_iProver_sK11_1)
| ~ root(X0_iProver_sK11_1,tptp0)
| ~ subactivity_occurrence(X0_iProver_sK11_1,sK15) ),
inference(global_subsumption_just,[status(thm)],[c_10934,c_122,c_10934]) ).
tcf(c_13986,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X1_iProver_sK11_1: iProver_sK11_1] :
( root_occ(sK12(sK15),X1_iProver_sK11_1)
| ~ subactivity_occurrence(X0_iProver_sK11_1,sK15)
| ~ root(X0_iProver_sK11_1,tptp0)
| ~ root_occ(X0_iProver_sK11_1,X1_iProver_sK11_1) ),
inference(renaming,[status(thm)],[c_13985]) ).
tcf(c_14058,plain,
! [X0_iProver_sK11_1: iProver_sK11_1] :
( root_occ(sK12(sK15),sK15)
| ~ subactivity_occurrence(X0_iProver_sK11_1,sK15)
| ~ root(X0_iProver_sK11_1,tptp0) ),
inference(resolution,[status(thm)],[c_13986,c_9733]) ).
tcf(c_14381,plain,
root_occ(sK12(sK15),sK15),
inference(global_subsumption_just,[status(thm)],[c_14058,c_122,c_3080]) ).
tcf(c_14391,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X0_iProver_sK11_3: iProver_sK11_3] :
( ( X0_iProver_sK11_1 = sK12(sK15) )
| ~ root_occ(X0_iProver_sK11_1,sK15)
| ~ occurrence_of(sK15,X0_iProver_sK11_3) ),
inference(resolution,[status(thm)],[c_14381,c_3008]) ).
tcf(c_14912,plain,
! [X0_iProver_sK11_1: iProver_sK11_1] :
( ( X0_iProver_sK11_1 = sK12(sK15) )
| ~ root_occ(X0_iProver_sK11_1,sK15) ),
inference(resolution,[status(thm)],[c_14391,c_2985]) ).
tcf(c_14966,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X0_iProver_sK11_3: iProver_sK11_3] :
( occurrence_of(X0_iProver_sK11_1,X0_iProver_sK11_3)
| ~ root_occ(X0_iProver_sK11_1,sK15)
| ~ occurrence_of(sK12(sK15),X0_iProver_sK11_3) ),
inference(resolution,[status(thm)],[c_14912,c_6070]) ).
tcf(c_15408,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X0_iProver_sK11_3: iProver_sK11_3,X1_iProver_sK11_1: iProver_sK11_1] :
( ~ occurrence_of(X1_iProver_sK11_1,X0_iProver_sK11_3)
| ~ root_occ(sK12(X1_iProver_sK11_1),X1_iProver_sK11_1)
| ~ min_precedes(sK14(X0_iProver_sK11_1),sK12(X1_iProver_sK11_1),X0_iProver_sK11_3) ),
inference(instantiation,[status(thm)],[c_5222]) ).
tcf(c_15409,plain,
( ~ occurrence_of(sK15,tptp0)
| ~ root_occ(sK12(sK15),sK15)
| ~ min_precedes(sK14(sK15),sK12(sK15),tptp0) ),
inference(instantiation,[status(thm)],[c_15408]) ).
tcf(c_15698,plain,
! [X0_iProver_sK11_1: iProver_sK11_1] :
( occurrence_of(X0_iProver_sK11_1,tptp3)
| ~ occurrence_of(sK15,tptp0)
| ~ root_occ(X0_iProver_sK11_1,sK15) ),
inference(resolution,[status(thm)],[c_14966,c_3005]) ).
tcf(c_19410,plain,
! [X0_iProver_sK11_1: iProver_sK11_1] :
( occurrence_of(X0_iProver_sK11_1,tptp3)
| ~ root_occ(X0_iProver_sK11_1,sK15) ),
inference(global_subsumption_just,[status(thm)],[c_15698,c_122,c_15698]) ).
tcf(c_19422,plain,
! [X0_iProver_sK11_1: iProver_sK11_1] :
( ~ occurrence_of(X0_iProver_sK11_1,tptp0)
| ~ root_occ(sK10(sK14(X0_iProver_sK11_1),tptp0),sK15) ),
inference(backward_subsumption_resolution,[status(thm)],[c_13708,c_19410]) ).
tcf(c_19428,plain,
( ~ occurrence_of(sK15,tptp0)
| ~ root_occ(sK10(sK14(sK15),tptp0),sK15) ),
inference(instantiation,[status(thm)],[c_19422]) ).
tcf(c_21648,plain,
! [X0_iProver_sK11_1: iProver_sK11_1,X1_iProver_sK11_1: iProver_sK11_1,X2_iProver_sK11_1: iProver_sK11_1] :
( root_occ(sK10(sK14(X0_iProver_sK11_1),tptp0),X2_iProver_sK11_1)
| ~ root_occ(sK12(X1_iProver_sK11_1),X1_iProver_sK11_1)
| ( X2_iProver_sK11_1 != X1_iProver_sK11_1 )
| ( sK10(sK14(X0_iProver_sK11_1),tptp0) != sK12(X1_iProver_sK11_1) ) ),
inference(instantiation,[status(thm)],[c_5227]) ).
tcf(c_21651,plain,
( root_occ(sK10(sK14(sK15),tptp0),sK15)
| ~ root_occ(sK12(sK15),sK15)
| ( sK15 != sK15 )
| ( sK10(sK14(sK15),tptp0) != sK12(sK15) ) ),
inference(instantiation,[status(thm)],[c_21648]) ).
tcf(c_21652,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_21651,c_19428,c_15409,c_12680,c_12522,c_9989,c_6740,c_6358,c_6280,c_6260,c_5573,c_5053,c_4788,c_4523,c_4457,c_4142,c_4141,c_4140,c_4047,c_4037,c_4033,c_4029,c_4023,c_4021,c_4017,c_4013,c_3081,c_3080,c_3078,c_3076,c_3066,c_122,c_113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : PRO012+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Thu Sep 24 06:30:05 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.04/0.32 Running first-order theorem proving
% 0.04/0.32 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.33
% 0.06/0.33 % ======== iProver multi-core TPTP/SMT =========
% 0.06/0.33
% 0.06/0.33 % Detected problem language: tptp
% 0.06/0.34 % Proving...
% 10.34/2.04 % SZS status Started for theBenchmark.p
% 10.34/2.04 % SZS status Theorem for theBenchmark.p
% 10.34/2.04
% 10.34/2.04 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.34/2.04
% 10.34/2.04 % ------ iProver source info
% 10.34/2.04
% 10.34/2.04 % git: date: 2026-07-19 20:42:38 +0200
% 10.34/2.04 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.34/2.04 % git: non_committed_changes: false
% 10.34/2.04
% 10.34/2.04 % ------ Parsing...
% 10.34/2.04 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 10.34/2.04
% 10.34/2.04 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 10.34/2.04
% 10.34/2.04 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 10.34/2.04
% 10.34/2.04 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 10.34/2.04 % ------ Proving...
% 10.34/2.04 % ------ Problem Properties
% 10.34/2.04
% 10.34/2.04 %
% 10.34/2.04 % clauses 72
% 10.34/2.04 % conjectures 3
% 10.34/2.04 % EPR 44
% 10.34/2.04 % Horn 57
% 10.34/2.04 % unary 12
% 10.34/2.04 % binary 31
% 10.34/2.04 % lits 183
% 10.34/2.04 % lits eq 14
% 10.34/2.04 % fd_pure 0
% 10.34/2.04 % fd_pseudo 0
% 10.34/2.04 % fd_cond 0
% 10.34/2.04 % fd_pseudo_cond 7
% 10.34/2.04 % AC symbols 0
% 10.34/2.04
% 10.34/2.04 % ------ Input Options Time Limit: Unbounded
% 10.34/2.04
% 10.34/2.04
% 10.34/2.04 % ------
% 10.34/2.04 % Current options:
% 10.34/2.04 % ------
% 10.34/2.04
% 10.34/2.04
% 10.34/2.04 %
% 10.34/2.04
% 10.34/2.04 % ------ Proving...
% 10.34/2.04 %
% 10.34/2.04
% 10.34/2.04 % SZS status Theorem for theBenchmark.p
% 10.34/2.04
% 10.34/2.04 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.34/2.04
% 10.34/2.04
%------------------------------------------------------------------------------