%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PRO009+1 : 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 : n013.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 02:31:34 PM UTC 2026
% Result : Theorem 1.13s 6.73s
% Output : CNFRefutation 1.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of formulae : 165 ( 11 unt; 0 def)
% Number of atoms : 569 ( 60 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 711 ( 307 ~; 308 |; 81 &)
% ( 6 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 3 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 323 ( 0 sgn 295 !; 28 ?; 153 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1,X2] :
( ( occurrence_of(X0,X2)
& occurrence_of(X0,X1) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
fof(f9,axiom,
! [X0] :
( legal(X0)
=> arboreal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_08) ).
fof(f11,axiom,
! [X0,X1] :
( precedes(X0,X1)
<=> ( legal(X1)
& earlier(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_10) ).
fof(f16,axiom,
! [X0,X1,X2] :
( min_precedes(X0,X1,X2)
=> precedes(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_15) ).
fof(f17,axiom,
! [X0,X1] :
( root(X0,X1)
=> legal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_16) ).
fof(f22,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_21) ).
fof(f23,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_22) ).
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(f34,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_33) ).
fof(f35,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_34) ).
fof(f36,axiom,
! [X0] :
( occurrence_of(X0,tptp0)
=> ? [X1,X2,X3] :
( leaf_occ(X3,X0)
& next_subocc(X2,X3,tptp0)
& ( occurrence_of(X3,tptp1)
| occurrence_of(X3,tptp2) )
& next_subocc(X1,X2,tptp0)
& occurrence_of(X2,tptp4)
& root_occ(X1,X0)
& occurrence_of(X1,tptp3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_35) ).
fof(f49,conjecture,
! [X0] :
( occurrence_of(X0,tptp0)
=> ? [X1,X2] :
( leaf_occ(X2,X0)
& min_precedes(X1,X2,tptp0)
& ( occurrence_of(X2,tptp1)
| occurrence_of(X2,tptp2) )
& root_occ(X1,X0)
& occurrence_of(X1,tptp3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f50,negated_conjecture,
~ ! [X0] :
( occurrence_of(X0,tptp0)
=> ? [X1,X2] :
( leaf_occ(X2,X0)
& 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)],[f49]) ).
fof(f51,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(unused_predicate_definition_removal,[],[f23]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(ennf_transformation,[],[f3]) ).
fof(f55,plain,
! [X0,X1,X2] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(flattening,[],[f54]) ).
fof(f63,plain,
! [X0] :
( ~ legal(X0)
| arboreal(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ~ min_precedes(X0,X1,X2)
| precedes(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f71,plain,
! [X0,X1] :
( ~ root(X0,X1)
| legal(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f79,plain,
! [X0,X1] :
( leaf(X0,X1)
<=> ( ! [X3] : ~ min_precedes(X0,X3,X1)
& ( ? [X2] : min_precedes(X2,X0,X1)
| root(X0,X1) ) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f80,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,[],[f51]) ).
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(ennf_transformation,[],[f29]) ).
fof(f88,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,[],[f87]) ).
fof(f97,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ? [X1,X2,X3] :
( leaf_occ(X3,X0)
& next_subocc(X2,X3,tptp0)
& ( occurrence_of(X3,tptp1)
| occurrence_of(X3,tptp2) )
& next_subocc(X1,X2,tptp0)
& occurrence_of(X2,tptp4)
& root_occ(X1,X0)
& occurrence_of(X1,tptp3) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f98,plain,
? [X0] :
( occurrence_of(X0,tptp0)
& ! [X1,X2] :
( ~ leaf_occ(X2,X0)
| ~ min_precedes(X1,X2,tptp0)
| ( ~ occurrence_of(X2,tptp1)
& ~ occurrence_of(X2,tptp2) )
| ~ root_occ(X1,X0)
| ~ occurrence_of(X1,tptp3) ) ),
inference(ennf_transformation,[],[f50]) ).
fof(f101,plain,
! [X0,X1] :
( ( ~ precedes(X0,X1)
| ( legal(X1)
& earlier(X0,X1) ) )
& ( ~ legal(X1)
| ~ earlier(X0,X1)
| precedes(X0,X1) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f102,plain,
! [X0,X1] :
( ( ~ precedes(X0,X1)
| ( legal(X1)
& earlier(X0,X1) ) )
& ( ~ legal(X1)
| ~ earlier(X0,X1)
| precedes(X0,X1) ) ),
inference(flattening,[],[f101]) ).
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,[],[f79]) ).
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(sK6(X0,X1),X0,X1)
| root(X0,X1) ) ) )
& ( min_precedes(X0,sK5(X0,X1),X1)
| ( ! [X2] : ~ min_precedes(X2,X0,X1)
& ~ root(X0,X1) )
| leaf(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6]),skolemize(X3,sK5(X0,X1)),skolemize(X4,sK6(X0,X1))],[f108]) ).
fof(f117,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,[],[f34]) ).
fof(f118,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,[],[f117]) ).
fof(f119,plain,
! [X0,X1] :
( ( ~ root_occ(X0,X1)
| ( root(X0,sK12(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK12(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,[sK12]),skolemize(X3,sK12(X0,X1))],[f118]) ).
fof(f120,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,[],[f35]) ).
fof(f121,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,[],[f120]) ).
fof(f122,plain,
! [X0,X1] :
( ( ~ leaf_occ(X0,X1)
| ( leaf(X0,sK13(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK13(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,[sK13]),skolemize(X3,sK13(X0,X1))],[f121]) ).
fof(f123,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ( leaf_occ(sK16(X0),X0)
& next_subocc(sK15(X0),sK16(X0),tptp0)
& ( occurrence_of(sK16(X0),tptp1)
| occurrence_of(sK16(X0),tptp2) )
& next_subocc(sK14(X0),sK15(X0),tptp0)
& occurrence_of(sK15(X0),tptp4)
& root_occ(sK14(X0),X0)
& occurrence_of(sK14(X0),tptp3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15,sK16]),skolemize(X1,sK14(X0)),skolemize(X2,sK15(X0)),skolemize(X3,sK16(X0))],[f97]) ).
fof(f124,plain,
( occurrence_of(sK17,tptp0)
& ! [X1,X2] :
( ~ leaf_occ(X2,sK17)
| ~ min_precedes(X1,X2,tptp0)
| ( ~ occurrence_of(X2,tptp1)
& ~ occurrence_of(X2,tptp2) )
| ~ root_occ(X1,sK17)
| ~ occurrence_of(X1,tptp3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(X0,sK17)],[f98]) ).
fof(f129,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f55]) ).
fof(f136,plain,
! [X0] :
( ~ legal(X0)
| arboreal(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f138,plain,
! [X0,X1] :
( ~ precedes(X0,X1)
| legal(X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f150,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| precedes(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f151,plain,
! [X0,X1] :
( ~ root(X0,X1)
| legal(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f156,plain,
! [X0,X1,X5] :
( ~ leaf(X0,X1)
| ~ min_precedes(X0,X5,X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f161,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f80]) ).
fof(f175,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,[],[f88]) ).
fof(f181,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| root(X0,sK12(X0,X1)) ),
inference(cnf_transformation,[],[f119]) ).
fof(f182,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f119]) ).
fof(f185,plain,
! [X0,X1] :
( ~ leaf_occ(X0,X1)
| leaf(X0,sK13(X0,X1)) ),
inference(cnf_transformation,[],[f122]) ).
fof(f186,plain,
! [X0,X1] :
( ~ leaf_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f122]) ).
fof(f187,plain,
! [X0,X1] :
( ~ leaf_occ(X0,X1)
| occurrence_of(X1,sK13(X0,X1)) ),
inference(cnf_transformation,[],[f122]) ).
fof(f189,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| leaf_occ(sK16(X0),X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f190,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| next_subocc(sK15(X0),sK16(X0),tptp0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f191,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| occurrence_of(sK16(X0),tptp1)
| occurrence_of(sK16(X0),tptp2) ),
inference(cnf_transformation,[],[f123]) ).
fof(f192,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| next_subocc(sK14(X0),sK15(X0),tptp0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f194,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| root_occ(sK14(X0),X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f195,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| occurrence_of(sK14(X0),tptp3) ),
inference(cnf_transformation,[],[f123]) ).
fof(f208,plain,
occurrence_of(sK17,tptp0),
inference(cnf_transformation,[],[f124]) ).
fof(f209,plain,
! [X2,X1] :
( ~ leaf_occ(X2,sK17)
| ~ min_precedes(X1,X2,tptp0)
| ~ occurrence_of(X2,tptp1)
| ~ root_occ(X1,sK17)
| ~ occurrence_of(X1,tptp3) ),
inference(cnf_transformation,[],[f124]) ).
fof(f210,plain,
! [X2,X1] :
( ~ leaf_occ(X2,sK17)
| ~ min_precedes(X1,X2,tptp0)
| ~ occurrence_of(X2,tptp2)
| ~ root_occ(X1,sK17)
| ~ occurrence_of(X1,tptp3) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_60,plain,
! [X0: $i] :
( arboreal(X0)
| ~ legal(X0) ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( legal(X1)
| ~ precedes(X0,X1) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i,X2: $i] :
( precedes(X0,X1)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] :
( legal(X0)
| ~ root(X0,X1) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ leaf(X0,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i] :
( min_precedes(X0,X1,X2)
| ~ next_subocc(X0,X1,X2) ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_99,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,[],[f175]) ).
tcf(c_107,plain,
! [X0: $i,X1: $i] :
( subactivity_occurrence(X0,X1)
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i] :
( root(X0,sK12(X0,X1))
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i] :
( occurrence_of(X1,sK13(X0,X1))
| ~ leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f187]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i] :
( subactivity_occurrence(X0,X1)
| ~ leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i] :
( leaf(X0,sK13(X0,X1))
| ~ leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f185]) ).
tcf(c_113,plain,
! [X0: $i] :
( occurrence_of(sK14(X0),tptp3)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f195]) ).
tcf(c_114,plain,
! [X0: $i] :
( root_occ(sK14(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f194]) ).
tcf(c_116,plain,
! [X0: $i] :
( next_subocc(sK14(X0),sK15(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f192]) ).
tcf(c_117,plain,
! [X0: $i] :
( occurrence_of(sK16(X0),tptp1)
| occurrence_of(sK16(X0),tptp2)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f191]) ).
tcf(c_118,plain,
! [X0: $i] :
( next_subocc(sK15(X0),sK16(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_119,plain,
! [X0: $i] :
( leaf_occ(sK16(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f189]) ).
tcf(c_132,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ leaf_occ(X1,sK17)
| ~ root_occ(X0,sK17)
| ~ occurrence_of(X1,tptp2)
| ~ occurrence_of(X0,tptp3)
| ~ min_precedes(X0,X1,tptp0) ),
inference(cnf_transformation,[],[f210]) ).
tcf(c_133,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ leaf_occ(X1,sK17)
| ~ root_occ(X0,sK17)
| ~ occurrence_of(X1,tptp1)
| ~ occurrence_of(X0,tptp3)
| ~ min_precedes(X0,X1,tptp0) ),
inference(cnf_transformation,[],[f209]) ).
tcf(c_134,negated_conjecture,
occurrence_of(sK17,tptp0),
inference(cnf_transformation,[],[f208]) ).
tcf(c_661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( min_precedes(X1,X2,X3)
| ~ occurrence_of(X0,tptp0)
| ( X3 != tptp0 )
| ( sK15(X0) != X2 )
| ( sK14(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_84,c_116]) ).
tcf(c_662,plain,
! [X0: $i] :
( min_precedes(sK14(X0),sK15(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(unflattening,[status(thm)],[c_661]) ).
tcf(c_670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( min_precedes(X1,X2,X3)
| ~ occurrence_of(X0,tptp0)
| ( X3 != tptp0 )
| ( sK16(X0) != X2 )
| ( sK15(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_84,c_118]) ).
tcf(c_671,plain,
! [X0: $i] :
( min_precedes(sK15(X0),sK16(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(unflattening,[status(thm)],[c_670]) ).
tcf(c_3209,plain,
! [X0_iProver_min_precedes_1: iProver_min_precedes_1] :
( min_precedes(sK15(X0_iProver_min_precedes_1),sK16(X0_iProver_min_precedes_1),tptp0)
| ~ occurrence_of(X0_iProver_min_precedes_1,tptp0) ),
inference(subtyping,[status(esa)],[c_671]) ).
tcf(c_3210,plain,
! [X0_iProver_min_precedes_1: iProver_min_precedes_1] :
( min_precedes(sK14(X0_iProver_min_precedes_1),sK15(X0_iProver_min_precedes_1),tptp0)
| ~ occurrence_of(X0_iProver_min_precedes_1,tptp0) ),
inference(subtyping,[status(esa)],[c_662]) ).
tcf(c_3211,negated_conjecture,
occurrence_of(sK17,tptp0),
inference(subtyping,[status(esa)],[c_134]) ).
tcf(c_3212,negated_conjecture,
! [X0_iProver_min_precedes_1: iProver_min_precedes_1,X1_iProver_min_precedes_1: iProver_min_precedes_1] :
( ~ leaf_occ(X1_iProver_min_precedes_1,sK17)
| ~ root_occ(X0_iProver_min_precedes_1,sK17)
| ~ occurrence_of(X1_iProver_min_precedes_1,tptp1)
| ~ occurrence_of(X0_iProver_min_precedes_1,tptp3)
| ~ min_precedes(X0_iProver_min_precedes_1,X1_iProver_min_precedes_1,tptp0) ),
inference(subtyping,[status(esa)],[c_133]) ).
tcf(c_3213,negated_conjecture,
! [X0_iProver_min_precedes_1: iProver_min_precedes_1,X1_iProver_min_precedes_1: iProver_min_precedes_1] :
( ~ leaf_occ(X1_iProver_min_precedes_1,sK17)
| ~ root_occ(X0_iProver_min_precedes_1,sK17)
| ~ occurrence_of(X1_iProver_min_precedes_1,tptp2)
| ~ occurrence_of(X0_iProver_min_precedes_1,tptp3)
| ~ min_precedes(X0_iProver_min_precedes_1,X1_iProver_min_precedes_1,tptp0) ),
inference(subtyping,[status(esa)],[c_132]) ).
tcf(c_3226,plain,
! [X0_iProver_min_precedes_1: iProver_min_precedes_1] :
( leaf_occ(sK16(X0_iProver_min_precedes_1),X0_iProver_min_precedes_1)
| ~ occurrence_of(X0_iProver_min_precedes_1,tptp0) ),
inference(subtyping,[status(esa)],[c_119]) ).
tcf(c_3227,plain,
! [X0_iProver_min_precedes_1: iProver_min_precedes_1] :
( occurrence_of(sK16(X0_iProver_min_precedes_1),tptp1)
| occurrence_of(sK16(X0_iProver_min_precedes_1),tptp2)
| ~ occurrence_of(X0_iProver_min_precedes_1,tptp0) ),
inference(subtyping,[status(esa)],[c_117]) ).
tcf(c_3229,plain,
! [X0_iProver_min_precedes_1: iProver_min_precedes_1] :
( root_occ(sK14(X0_iProver_min_precedes_1),X0_iProver_min_precedes_1)
| ~ occurrence_of(X0_iProver_min_precedes_1,tptp0) ),
inference(subtyping,[status(esa)],[c_114]) ).
tcf(c_3230,plain,
! [X0_iProver_min_precedes_1: iProver_min_precedes_1] :
( occurrence_of(sK14(X0_iProver_min_precedes_1),tptp3)
| ~ occurrence_of(X0_iProver_min_precedes_1,tptp0) ),
inference(subtyping,[status(esa)],[c_113]) ).
tcf(c_3231,plain,
! [X0_iProver_min_precedes_1: iProver_min_precedes_1,X1_iProver_min_precedes_1: iProver_min_precedes_1] :
( leaf(X0_iProver_min_precedes_1,sK13(X0_iProver_min_precedes_1,X1_iProver_min_precedes_1))
| ~ leaf_occ(X0_iProver_min_precedes_1,X1_iProver_min_precedes_1) ),
inference(subtyping,[status(esa)],[c_112]) ).
tcf(c_3232,plain,
! [X0_iProver_min_precedes_1: iProver_min_precedes_1,X1_iProver_min_precedes_1: iProver_min_precedes_1] :
( subactivity_occurrence(X0_iProver_min_precedes_1,X1_iProver_min_precedes_1)
| ~ leaf_occ(X0_iProver_min_precedes_1,X1_iProver_min_precedes_1) ),
inference(subtyping,[status(esa)],[c_111]) ).
tcf(c_3233,plain,
! [X0_iProver_min_precedes_1: iProver_min_precedes_1,X1_iProver_min_precedes_1: iProver_min_precedes_1] :
( occurrence_of(X1_iProver_min_precedes_1,sK13(X0_iProver_min_precedes_1,X1_iProver_min_precedes_1))
| ~ leaf_occ(X0_iProver_min_precedes_1,X1_iProver_min_precedes_1) ),
inference(subtyping,[status(esa)],[c_110]) ).
tcf(c_3235,plain,
! [X0_iProver_min_precedes_1: iProver_min_precedes_1,X1_iProver_min_precedes_1: iProver_min_precedes_1] :
( root(X0_iProver_min_precedes_1,sK12(X0_iProver_min_precedes_1,X1_iProver_min_precedes_1))
| ~ root_occ(X0_iProver_min_precedes_1,X1_iProver_min_precedes_1) ),
inference(subtyping,[status(esa)],[c_108]) ).
tcf(c_3236,plain,
! [X0_iProver_min_precedes_1: iProver_min_precedes_1,X1_iProver_min_precedes_1: iProver_min_precedes_1] :
( subactivity_occurrence(X0_iProver_min_precedes_1,X1_iProver_min_precedes_1)
| ~ root_occ(X0_iProver_min_precedes_1,X1_iProver_min_precedes_1) ),
inference(subtyping,[status(esa)],[c_107]) ).
tcf(c_3244,plain,
! [X0_iProver_min_precedes_1: iProver_min_precedes_1,X0_iProver_min_precedes_3: iProver_min_precedes_3,X1_iProver_min_precedes_1: iProver_min_precedes_1,X2_iProver_min_precedes_1: iProver_min_precedes_1] :
( min_precedes(X2_iProver_min_precedes_1,X1_iProver_min_precedes_1,X0_iProver_min_precedes_3)
| min_precedes(X1_iProver_min_precedes_1,X2_iProver_min_precedes_1,X0_iProver_min_precedes_3)
| ( X1_iProver_min_precedes_1 = X2_iProver_min_precedes_1 )
| ~ arboreal(X2_iProver_min_precedes_1)
| ~ arboreal(X1_iProver_min_precedes_1)
| ~ subactivity_occurrence(X2_iProver_min_precedes_1,X0_iProver_min_precedes_1)
| ~ subactivity_occurrence(X1_iProver_min_precedes_1,X0_iProver_min_precedes_1)
| ~ occurrence_of(X0_iProver_min_precedes_1,X0_iProver_min_precedes_3) ),
inference(subtyping,[status(esa)],[c_99]) ).
tcf(c_3258,plain,
! [X0_iProver_min_precedes_1: iProver_min_precedes_1,X0_iProver_min_precedes_3: iProver_min_precedes_3,X1_iProver_min_precedes_1: iProver_min_precedes_1] :
( ~ leaf(X0_iProver_min_precedes_1,X0_iProver_min_precedes_3)
| ~ min_precedes(X0_iProver_min_precedes_1,X1_iProver_min_precedes_1,X0_iProver_min_precedes_3) ),
inference(subtyping,[status(esa)],[c_83]) ).
tcf(c_3266,plain,
! [X0_iProver_min_precedes_1: iProver_min_precedes_1,X0_iProver_min_precedes_3: iProver_min_precedes_3] :
( legal(X0_iProver_min_precedes_1)
| ~ root(X0_iProver_min_precedes_1,X0_iProver_min_precedes_3) ),
inference(subtyping,[status(esa)],[c_75]) ).
tcf(c_3267,plain,
! [X0_iProver_min_precedes_1: iProver_min_precedes_1,X0_iProver_min_precedes_3: iProver_min_precedes_3,X1_iProver_min_precedes_1: iProver_min_precedes_1] :
( precedes(X0_iProver_min_precedes_1,X1_iProver_min_precedes_1)
| ~ min_precedes(X0_iProver_min_precedes_1,X1_iProver_min_precedes_1,X0_iProver_min_precedes_3) ),
inference(subtyping,[status(esa)],[c_74]) ).
tcf(c_3277,plain,
! [X0_iProver_min_precedes_1: iProver_min_precedes_1,X1_iProver_min_precedes_1: iProver_min_precedes_1] :
( legal(X1_iProver_min_precedes_1)
| ~ precedes(X0_iProver_min_precedes_1,X1_iProver_min_precedes_1) ),
inference(subtyping,[status(esa)],[c_64]) ).
tcf(c_3281,plain,
! [X0_iProver_min_precedes_1: iProver_min_precedes_1] :
( arboreal(X0_iProver_min_precedes_1)
| ~ legal(X0_iProver_min_precedes_1) ),
inference(subtyping,[status(esa)],[c_60]) ).
tcf(c_3288,plain,
! [X0_iProver_min_precedes_1: iProver_min_precedes_1,X0_iProver_min_precedes_3: iProver_min_precedes_3,X1_iProver_min_precedes_3: iProver_min_precedes_3] :
( ( X0_iProver_min_precedes_3 = X1_iProver_min_precedes_3 )
| ~ occurrence_of(X0_iProver_min_precedes_1,X1_iProver_min_precedes_3)
| ~ occurrence_of(X0_iProver_min_precedes_1,X0_iProver_min_precedes_3) ),
inference(subtyping,[status(esa)],[c_53]) ).
tcf(c_3294,plain,
! [X0_iProver_min_precedes_1: iProver_min_precedes_1] : X0_iProver_min_precedes_1 = X0_iProver_min_precedes_1,
theory(equality) ).
tcf(c_3295,plain,
! [X0_iProver_min_precedes_3: iProver_min_precedes_3] : X0_iProver_min_precedes_3 = X0_iProver_min_precedes_3,
theory(equality) ).
tcf(c_3297,plain,
! [X0_iProver_min_precedes_3: iProver_min_precedes_3,X1_iProver_min_precedes_3: iProver_min_precedes_3,X2_iProver_min_precedes_3: iProver_min_precedes_3] :
( ( X2_iProver_min_precedes_3 = X0_iProver_min_precedes_3 )
| ( X2_iProver_min_precedes_3 != X1_iProver_min_precedes_3 )
| ( X0_iProver_min_precedes_3 != X1_iProver_min_precedes_3 ) ),
theory(equality) ).
tcf(c_3302,plain,
! [X0_iProver_min_precedes_1: iProver_min_precedes_1,X0_iProver_min_precedes_3: iProver_min_precedes_3,X1_iProver_min_precedes_1: iProver_min_precedes_1,X1_iProver_min_precedes_3: iProver_min_precedes_3,X2_iProver_min_precedes_1: iProver_min_precedes_1,X3_iProver_min_precedes_1: iProver_min_precedes_1] :
( min_precedes(X0_iProver_min_precedes_1,X2_iProver_min_precedes_1,X0_iProver_min_precedes_3)
| ~ min_precedes(X1_iProver_min_precedes_1,X3_iProver_min_precedes_1,X1_iProver_min_precedes_3)
| ( X2_iProver_min_precedes_1 != X3_iProver_min_precedes_1 )
| ( X0_iProver_min_precedes_3 != X1_iProver_min_precedes_3 )
| ( X0_iProver_min_precedes_1 != X1_iProver_min_precedes_1 ) ),
theory(equality) ).
tcf(c_3305,plain,
! [X0_iProver_min_precedes_1: iProver_min_precedes_1,X0_iProver_min_precedes_3: iProver_min_precedes_3,X1_iProver_min_precedes_3: iProver_min_precedes_3] :
( leaf(X0_iProver_min_precedes_1,X0_iProver_min_precedes_3)
| ~ leaf(X0_iProver_min_precedes_1,X1_iProver_min_precedes_3)
| ( X0_iProver_min_precedes_3 != X1_iProver_min_precedes_3 ) ),
theory(equality) ).
tcf(c_3311,plain,
tptp0 = tptp0,
inference(instantiation,[status(thm)],[c_3295]) ).
tcf(c_3314,plain,
( min_precedes(sK15(sK17),sK16(sK17),tptp0)
| ~ occurrence_of(sK17,tptp0) ),
inference(instantiation,[status(thm)],[c_3209]) ).
tcf(c_3315,plain,
( min_precedes(sK14(sK17),sK15(sK17),tptp0)
| ~ occurrence_of(sK17,tptp0) ),
inference(instantiation,[status(thm)],[c_3210]) ).
tcf(c_3318,plain,
( leaf_occ(sK16(sK17),sK17)
| ~ occurrence_of(sK17,tptp0) ),
inference(instantiation,[status(thm)],[c_3226]) ).
tcf(c_3319,plain,
( occurrence_of(sK16(sK17),tptp1)
| occurrence_of(sK16(sK17),tptp2)
| ~ occurrence_of(sK17,tptp0) ),
inference(instantiation,[status(thm)],[c_3227]) ).
tcf(c_3321,plain,
( root_occ(sK14(sK17),sK17)
| ~ occurrence_of(sK17,tptp0) ),
inference(instantiation,[status(thm)],[c_3229]) ).
tcf(c_3322,plain,
( occurrence_of(sK14(sK17),tptp3)
| ~ occurrence_of(sK17,tptp0) ),
inference(instantiation,[status(thm)],[c_3230]) ).
tcf(c_4420,plain,
! [X0_iProver_min_precedes_1: iProver_min_precedes_1] :
( ~ root_occ(X0_iProver_min_precedes_1,sK17)
| ~ occurrence_of(X0_iProver_min_precedes_1,tptp3)
| ~ leaf_occ(sK16(sK17),sK17)
| ~ occurrence_of(sK16(sK17),tptp1)
| ~ min_precedes(X0_iProver_min_precedes_1,sK16(sK17),tptp0) ),
inference(instantiation,[status(thm)],[c_3212]) ).
tcf(c_4424,plain,
! [X0_iProver_min_precedes_1: iProver_min_precedes_1] :
( ~ root_occ(X0_iProver_min_precedes_1,sK17)
| ~ occurrence_of(X0_iProver_min_precedes_1,tptp3)
| ~ leaf_occ(sK16(sK17),sK17)
| ~ occurrence_of(sK16(sK17),tptp2)
| ~ min_precedes(X0_iProver_min_precedes_1,sK16(sK17),tptp0) ),
inference(instantiation,[status(thm)],[c_3213]) ).
tcf(c_4437,plain,
! [X0_iProver_min_precedes_1: iProver_min_precedes_1,X0_iProver_min_precedes_3: iProver_min_precedes_3,X1_iProver_min_precedes_1: iProver_min_precedes_1,X2_iProver_min_precedes_1: iProver_min_precedes_1] :
( min_precedes(X1_iProver_min_precedes_1,sK15(sK17),tptp0)
| ~ min_precedes(X2_iProver_min_precedes_1,X0_iProver_min_precedes_1,X0_iProver_min_precedes_3)
| ( tptp0 != X0_iProver_min_precedes_3 )
| ( X1_iProver_min_precedes_1 != X2_iProver_min_precedes_1 )
| ( sK15(sK17) != X0_iProver_min_precedes_1 ) ),
inference(instantiation,[status(thm)],[c_3302]) ).
tcf(c_4442,plain,
( ~ leaf_occ(sK16(sK17),sK17)
| ~ root_occ(sK14(sK17),sK17)
| ~ occurrence_of(sK16(sK17),tptp1)
| ~ occurrence_of(sK14(sK17),tptp3)
| ~ min_precedes(sK14(sK17),sK16(sK17),tptp0) ),
inference(instantiation,[status(thm)],[c_4420]) ).
tcf(c_4445,plain,
( ~ leaf_occ(sK16(sK17),sK17)
| ~ root_occ(sK14(sK17),sK17)
| ~ occurrence_of(sK16(sK17),tptp2)
| ~ occurrence_of(sK14(sK17),tptp3)
| ~ min_precedes(sK14(sK17),sK16(sK17),tptp0) ),
inference(instantiation,[status(thm)],[c_4424]) ).
tcf(c_4486,plain,
! [X0_iProver_min_precedes_1: iProver_min_precedes_1,X0_iProver_min_precedes_3: iProver_min_precedes_3] :
( precedes(X0_iProver_min_precedes_1,sK16(sK17))
| ~ min_precedes(X0_iProver_min_precedes_1,sK16(sK17),X0_iProver_min_precedes_3) ),
inference(instantiation,[status(thm)],[c_3267]) ).
tcf(c_4512,plain,
! [X0_iProver_min_precedes_1: iProver_min_precedes_1,X0_iProver_min_precedes_3: iProver_min_precedes_3,X1_iProver_min_precedes_1: iProver_min_precedes_1] :
( leaf(X0_iProver_min_precedes_1,X0_iProver_min_precedes_3)
| ~ leaf(X0_iProver_min_precedes_1,sK13(X0_iProver_min_precedes_1,X1_iProver_min_precedes_1))
| ( X0_iProver_min_precedes_3 != sK13(X0_iProver_min_precedes_1,X1_iProver_min_precedes_1) ) ),
inference(instantiation,[status(thm)],[c_3305]) ).
tcf(c_4516,plain,
! [X0_iProver_min_precedes_1: iProver_min_precedes_1,X1_iProver_min_precedes_1: iProver_min_precedes_1] :
( min_precedes(X1_iProver_min_precedes_1,sK15(sK17),tptp0)
| ~ min_precedes(sK14(X0_iProver_min_precedes_1),sK15(X0_iProver_min_precedes_1),tptp0)
| ( tptp0 != tptp0 )
| ( X1_iProver_min_precedes_1 != sK14(X0_iProver_min_precedes_1) )
| ( sK15(sK17) != sK15(X0_iProver_min_precedes_1) ) ),
inference(instantiation,[status(thm)],[c_4437]) ).
tcf(c_4562,plain,
! [X0_iProver_min_precedes_1: iProver_min_precedes_1] :
( legal(sK16(sK17))
| ~ precedes(X0_iProver_min_precedes_1,sK16(sK17)) ),
inference(instantiation,[status(thm)],[c_3277]) ).
tcf(c_4570,plain,
( precedes(sK15(sK17),sK16(sK17))
| ~ min_precedes(sK15(sK17),sK16(sK17),tptp0) ),
inference(instantiation,[status(thm)],[c_4486]) ).
tcf(c_4576,plain,
! [X0_iProver_min_precedes_1: iProver_min_precedes_1] :
( occurrence_of(sK17,sK13(X0_iProver_min_precedes_1,sK17))
| ~ leaf_occ(X0_iProver_min_precedes_1,sK17) ),
inference(instantiation,[status(thm)],[c_3233]) ).
tcf(c_4596,plain,
! [X0_iProver_min_precedes_1: iProver_min_precedes_1,X0_iProver_min_precedes_3: iProver_min_precedes_3,X1_iProver_min_precedes_1: iProver_min_precedes_1,X2_iProver_min_precedes_1: iProver_min_precedes_1] :
( ( sK13(X1_iProver_min_precedes_1,X2_iProver_min_precedes_1) = X0_iProver_min_precedes_3 )
| ~ occurrence_of(X0_iProver_min_precedes_1,X0_iProver_min_precedes_3)
| ~ occurrence_of(X0_iProver_min_precedes_1,sK13(X1_iProver_min_precedes_1,X2_iProver_min_precedes_1)) ),
inference(instantiation,[status(thm)],[c_3288]) ).
tcf(c_4614,plain,
! [X0_iProver_min_precedes_1: iProver_min_precedes_1,X0_iProver_min_precedes_3: iProver_min_precedes_3,X1_iProver_min_precedes_1: iProver_min_precedes_1,X2_iProver_min_precedes_1: iProver_min_precedes_1] :
( min_precedes(X2_iProver_min_precedes_1,sK14(X0_iProver_min_precedes_1),X0_iProver_min_precedes_3)
| min_precedes(sK14(X0_iProver_min_precedes_1),X2_iProver_min_precedes_1,X0_iProver_min_precedes_3)
| ( X2_iProver_min_precedes_1 = sK14(X0_iProver_min_precedes_1) )
| ~ arboreal(X2_iProver_min_precedes_1)
| ~ arboreal(sK14(X0_iProver_min_precedes_1))
| ~ subactivity_occurrence(X2_iProver_min_precedes_1,X1_iProver_min_precedes_1)
| ~ occurrence_of(X1_iProver_min_precedes_1,X0_iProver_min_precedes_3)
| ~ subactivity_occurrence(sK14(X0_iProver_min_precedes_1),X1_iProver_min_precedes_1) ),
inference(instantiation,[status(thm)],[c_3244]) ).
tcf(c_4730,plain,
! [X0_iProver_min_precedes_1: iProver_min_precedes_1] :
( leaf(sK16(X0_iProver_min_precedes_1),sK13(sK16(X0_iProver_min_precedes_1),X0_iProver_min_precedes_1))
| ~ leaf_occ(sK16(X0_iProver_min_precedes_1),X0_iProver_min_precedes_1) ),
inference(instantiation,[status(thm)],[c_3231]) ).
tcf(c_4731,plain,
( leaf(sK16(sK17),sK13(sK16(sK17),sK17))
| ~ leaf_occ(sK16(sK17),sK17) ),
inference(instantiation,[status(thm)],[c_4730]) ).
tcf(c_4757,plain,
( legal(sK16(sK17))
| ~ precedes(sK15(sK17),sK16(sK17)) ),
inference(instantiation,[status(thm)],[c_4562]) ).
tcf(c_4781,plain,
( occurrence_of(sK17,sK13(sK16(sK17),sK17))
| ~ leaf_occ(sK16(sK17),sK17) ),
inference(instantiation,[status(thm)],[c_4576]) ).
tcf(c_4798,plain,
! [X0_iProver_min_precedes_1: iProver_min_precedes_1] :
( subactivity_occurrence(sK16(X0_iProver_min_precedes_1),sK17)
| ~ leaf_occ(sK16(X0_iProver_min_precedes_1),sK17) ),
inference(instantiation,[status(thm)],[c_3232]) ).
tcf(c_4801,plain,
( subactivity_occurrence(sK16(sK17),sK17)
| ~ leaf_occ(sK16(sK17),sK17) ),
inference(instantiation,[status(thm)],[c_4798]) ).
tcf(c_4857,plain,
! [X0_iProver_min_precedes_1: iProver_min_precedes_1,X0_iProver_min_precedes_3: iProver_min_precedes_3,X1_iProver_min_precedes_1: iProver_min_precedes_1] :
( ~ leaf(sK16(X0_iProver_min_precedes_1),X0_iProver_min_precedes_3)
| ~ min_precedes(sK16(X0_iProver_min_precedes_1),X1_iProver_min_precedes_1,X0_iProver_min_precedes_3) ),
inference(instantiation,[status(thm)],[c_3258]) ).
tcf(c_4868,plain,
! [X0_iProver_min_precedes_1: iProver_min_precedes_1] : sK15(X0_iProver_min_precedes_1) = sK15(X0_iProver_min_precedes_1),
inference(instantiation,[status(thm)],[c_3294]) ).
tcf(c_4869,plain,
sK15(sK17) = sK15(sK17),
inference(instantiation,[status(thm)],[c_4868]) ).
tcf(c_5012,plain,
( arboreal(sK16(sK17))
| ~ legal(sK16(sK17)) ),
inference(instantiation,[status(thm)],[c_3281]) ).
tcf(c_5062,plain,
! [X0_iProver_min_precedes_3: iProver_min_precedes_3] :
( ( sK13(sK16(sK17),sK17) = X0_iProver_min_precedes_3 )
| ~ occurrence_of(sK17,X0_iProver_min_precedes_3)
| ~ occurrence_of(sK17,sK13(sK16(sK17),sK17)) ),
inference(instantiation,[status(thm)],[c_4596]) ).
tcf(c_5063,plain,
( ( sK13(sK16(sK17),sK17) = tptp0 )
| ~ occurrence_of(sK17,tptp0)
| ~ occurrence_of(sK17,sK13(sK16(sK17),sK17)) ),
inference(instantiation,[status(thm)],[c_5062]) ).
tcf(c_5106,plain,
! [X0_iProver_min_precedes_1: iProver_min_precedes_1,X0_iProver_min_precedes_3: iProver_min_precedes_3,X1_iProver_min_precedes_1: iProver_min_precedes_1] :
( min_precedes(sK16(sK17),sK14(X0_iProver_min_precedes_1),X0_iProver_min_precedes_3)
| min_precedes(sK14(X0_iProver_min_precedes_1),sK16(sK17),X0_iProver_min_precedes_3)
| ( sK16(sK17) = sK14(X0_iProver_min_precedes_1) )
| ~ arboreal(sK16(sK17))
| ~ arboreal(sK14(X0_iProver_min_precedes_1))
| ~ occurrence_of(X1_iProver_min_precedes_1,X0_iProver_min_precedes_3)
| ~ subactivity_occurrence(sK16(sK17),X1_iProver_min_precedes_1)
| ~ subactivity_occurrence(sK14(X0_iProver_min_precedes_1),X1_iProver_min_precedes_1) ),
inference(instantiation,[status(thm)],[c_4614]) ).
tcf(c_5110,plain,
( min_precedes(sK16(sK17),sK14(sK17),tptp0)
| min_precedes(sK14(sK17),sK16(sK17),tptp0)
| ( sK16(sK17) = sK14(sK17) )
| ~ arboreal(sK16(sK17))
| ~ arboreal(sK14(sK17))
| ~ occurrence_of(sK17,tptp0)
| ~ subactivity_occurrence(sK16(sK17),sK17)
| ~ subactivity_occurrence(sK14(sK17),sK17) ),
inference(instantiation,[status(thm)],[c_5106]) ).
tcf(c_5186,plain,
! [X0_iProver_min_precedes_1: iProver_min_precedes_1,X0_iProver_min_precedes_3: iProver_min_precedes_3,X1_iProver_min_precedes_1: iProver_min_precedes_1,X1_iProver_min_precedes_3: iProver_min_precedes_3] :
( ( X1_iProver_min_precedes_3 = sK13(X0_iProver_min_precedes_1,X1_iProver_min_precedes_1) )
| ( X1_iProver_min_precedes_3 != X0_iProver_min_precedes_3 )
| ( sK13(X0_iProver_min_precedes_1,X1_iProver_min_precedes_1) != X0_iProver_min_precedes_3 ) ),
inference(instantiation,[status(thm)],[c_3297]) ).
tcf(c_5254,plain,
! [X0_iProver_min_precedes_1: iProver_min_precedes_1,X0_iProver_min_precedes_3: iProver_min_precedes_3] :
( leaf(sK16(X0_iProver_min_precedes_1),X0_iProver_min_precedes_3)
| ~ leaf(sK16(X0_iProver_min_precedes_1),sK13(sK16(X0_iProver_min_precedes_1),sK17))
| ( X0_iProver_min_precedes_3 != sK13(sK16(X0_iProver_min_precedes_1),sK17) ) ),
inference(instantiation,[status(thm)],[c_4512]) ).
tcf(c_5255,plain,
( leaf(sK16(sK17),tptp0)
| ~ leaf(sK16(sK17),sK13(sK16(sK17),sK17))
| ( tptp0 != sK13(sK16(sK17),sK17) ) ),
inference(instantiation,[status(thm)],[c_5254]) ).
tcf(c_5281,plain,
! [X0_iProver_min_precedes_1: iProver_min_precedes_1] :
( subactivity_occurrence(sK14(X0_iProver_min_precedes_1),X0_iProver_min_precedes_1)
| ~ occurrence_of(X0_iProver_min_precedes_1,tptp0) ),
inference(superposition,[status(thm)],[c_3229,c_3236]) ).
tcf(c_5282,plain,
( subactivity_occurrence(sK14(sK17),sK17)
| ~ occurrence_of(sK17,tptp0) ),
inference(instantiation,[status(thm)],[c_5281]) ).
tcf(c_5365,plain,
! [X0_iProver_min_precedes_1: iProver_min_precedes_1,X1_iProver_min_precedes_1: iProver_min_precedes_1] :
( legal(X0_iProver_min_precedes_1)
| ~ root_occ(X0_iProver_min_precedes_1,X1_iProver_min_precedes_1) ),
inference(superposition,[status(thm)],[c_3235,c_3266]) ).
tcf(c_5367,plain,
! [X0_iProver_min_precedes_1: iProver_min_precedes_1] :
( legal(sK14(X0_iProver_min_precedes_1))
| ~ occurrence_of(X0_iProver_min_precedes_1,tptp0) ),
inference(superposition,[status(thm)],[c_3229,c_5365]) ).
tcf(c_5375,plain,
legal(sK14(sK17)),
inference(superposition,[status(thm)],[c_3211,c_5367]) ).
tcf(c_5414,plain,
arboreal(sK14(sK17)),
inference(superposition,[status(thm)],[c_5375,c_3281]) ).
tcf(c_6609,plain,
! [X0_iProver_min_precedes_1: iProver_min_precedes_1] :
( min_precedes(sK16(sK17),sK15(sK17),tptp0)
| ~ min_precedes(sK14(X0_iProver_min_precedes_1),sK15(X0_iProver_min_precedes_1),tptp0)
| ( tptp0 != tptp0 )
| ( sK16(sK17) != sK14(X0_iProver_min_precedes_1) )
| ( sK15(sK17) != sK15(X0_iProver_min_precedes_1) ) ),
inference(instantiation,[status(thm)],[c_4516]) ).
tcf(c_6612,plain,
( min_precedes(sK16(sK17),sK15(sK17),tptp0)
| ~ min_precedes(sK14(sK17),sK15(sK17),tptp0)
| ( tptp0 != tptp0 )
| ( sK16(sK17) != sK14(sK17) )
| ( sK15(sK17) != sK15(sK17) ) ),
inference(instantiation,[status(thm)],[c_6609]) ).
tcf(c_6847,plain,
! [X0_iProver_min_precedes_3: iProver_min_precedes_3,X1_iProver_min_precedes_3: iProver_min_precedes_3] :
( ( X1_iProver_min_precedes_3 = sK13(sK16(sK17),sK17) )
| ( X1_iProver_min_precedes_3 != X0_iProver_min_precedes_3 )
| ( sK13(sK16(sK17),sK17) != X0_iProver_min_precedes_3 ) ),
inference(instantiation,[status(thm)],[c_5186]) ).
tcf(c_6852,plain,
( ( tptp0 = sK13(sK16(sK17),sK17) )
| ( tptp0 != tptp0 )
| ( sK13(sK16(sK17),sK17) != tptp0 ) ),
inference(instantiation,[status(thm)],[c_6847]) ).
tcf(c_7876,plain,
! [X0_iProver_min_precedes_1: iProver_min_precedes_1,X0_iProver_min_precedes_3: iProver_min_precedes_3] :
( ~ leaf(sK16(sK17),X0_iProver_min_precedes_3)
| ~ min_precedes(sK16(sK17),sK15(X0_iProver_min_precedes_1),X0_iProver_min_precedes_3) ),
inference(instantiation,[status(thm)],[c_4857]) ).
tcf(c_7877,plain,
( ~ leaf(sK16(sK17),tptp0)
| ~ min_precedes(sK16(sK17),sK15(sK17),tptp0) ),
inference(instantiation,[status(thm)],[c_7876]) ).
tcf(c_8196,plain,
! [X0_iProver_min_precedes_1: iProver_min_precedes_1,X0_iProver_min_precedes_3: iProver_min_precedes_3] :
( ~ leaf(sK16(sK17),X0_iProver_min_precedes_3)
| ~ min_precedes(sK16(sK17),sK14(X0_iProver_min_precedes_1),X0_iProver_min_precedes_3) ),
inference(instantiation,[status(thm)],[c_4857]) ).
tcf(c_8197,plain,
( ~ leaf(sK16(sK17),tptp0)
| ~ min_precedes(sK16(sK17),sK14(sK17),tptp0) ),
inference(instantiation,[status(thm)],[c_8196]) ).
tcf(c_8198,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_8197,c_7877,c_6852,c_6612,c_5414,c_5282,c_5255,c_5110,c_5063,c_5012,c_4869,c_4801,c_4781,c_4757,c_4731,c_4570,c_4445,c_4442,c_3322,c_3321,c_3319,c_3318,c_3315,c_3314,c_3311,c_134]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO009+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/5.38 % Computer : n013.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Thu Sep 24 06:27:44 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/5.42 Running first-order theorem proving
% 0.15/5.42 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
% 0.15/5.43
% 0.15/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.43
% 0.15/5.43 % Detected problem language: tptp
% 0.15/5.44 % Proving...
% 1.13/6.73 % SZS status Started for theBenchmark.p
% 1.13/6.73 % SZS status Theorem for theBenchmark.p
% 1.13/6.73
% 1.13/6.73 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.13/6.73
% 1.13/6.73 % ------ iProver source info
% 1.13/6.73
% 1.13/6.73 % git: date: 2026-07-19 20:42:38 +0200
% 1.13/6.73 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.13/6.73 % git: non_committed_changes: false
% 1.13/6.73
% 1.13/6.73 % ------ Parsing...
% 1.13/6.73 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.13/6.73
% 1.13/6.73 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e %
% 1.13/6.73
% 1.13/6.73 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.13/6.73
% 1.13/6.73 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.13/6.73 % ------ Proving...
% 1.13/6.73 % ------ Problem Properties
% 1.13/6.73
% 1.13/6.73 %
% 1.13/6.73 % clauses 86
% 1.13/6.73 % conjectures 3
% 1.13/6.73 % EPR 48
% 1.13/6.73 % Horn 74
% 1.13/6.73 % unary 13
% 1.13/6.73 % binary 42
% 1.13/6.73 % lits 213
% 1.13/6.73 % lits eq 9
% 1.13/6.73 % fd_pure 0
% 1.13/6.73 % fd_pseudo 0
% 1.13/6.73 % fd_cond 0
% 1.13/6.73 % fd_pseudo_cond 3
% 1.13/6.73 % AC symbols 0
% 1.13/6.73
% 1.13/6.73 % ------ Input Options Time Limit: Unbounded
% 1.13/6.73
% 1.13/6.73
% 1.13/6.73 % ------
% 1.13/6.73 % Current options:
% 1.13/6.73 % ------
% 1.13/6.73
% 1.13/6.73
% 1.13/6.73 %
% 1.13/6.73
% 1.13/6.73 % ------ Proving...
% 1.13/6.73 %
% 1.13/6.73
% 1.13/6.73 % SZS status Theorem for theBenchmark.p
% 1.13/6.73
% 1.13/6.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.13/6.73
% 1.13/6.73
%------------------------------------------------------------------------------