%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PRO005+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 : n014.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 02:31:33 PM UTC 2026
% Result : Theorem 25.47s 5.73s
% Output : CNFRefutation 25.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 19
% Syntax : Number of formulae : 208 ( 38 unt; 0 def)
% Number of atoms : 635 ( 50 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 774 ( 347 ~; 346 |; 65 &)
% ( 5 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 354 ( 0 sgn 333 !; 21 ?; 150 :)
% Comments :
%------------------------------------------------------------------------------
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(f10,axiom,
! [X0,X1,X2] :
( ( leaf_occ(X1,X0)
& occurrence_of(X0,X2) )
=> ~ ? [X3] : min_precedes(X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_09) ).
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(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(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(f29,axiom,
! [X0,X1,X2,X3] :
( ( leaf_occ(X1,X2)
& leaf_occ(X0,X2)
& ~ atomic(X3)
& occurrence_of(X2,X3) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_28) ).
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] :
( next_subocc(X1,X2,tptp0)
& leaf_occ(X2,X0)
& ( occurrence_of(X2,tptp2)
| occurrence_of(X2,tptp3) )
& root_occ(X1,X0)
& occurrence_of(X1,tptp4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).
fof(f35,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_34) ).
fof(f36,axiom,
atomic(tptp4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_35) ).
fof(f39,axiom,
atomic(tptp1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_38) ).
fof(f43,axiom,
tptp1 != tptp3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_42) ).
fof(f44,axiom,
tptp1 != tptp2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_43) ).
fof(f46,axiom,
! [X0,X1] :
( ( ~ leaf_occ(X0,X1)
& arboreal(X0)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,tptp0) )
=> root_occ(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_45) ).
fof(f47,axiom,
! [X0,X1] :
( ( ~ leaf_occ(X0,X1)
& arboreal(X0)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,tptp0) )
=> ? [X2] :
( next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_46) ).
fof(f48,conjecture,
~ ? [X0] : occurrence_of(X0,tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f49,negated_conjecture,
~ ~ ? [X0] : occurrence_of(X0,tptp0),
inference(negated_conjecture,[status(cth)],[f48]) ).
fof(f50,plain,
? [X0] : occurrence_of(X0,tptp0),
inference(flattening,[],[f49]) ).
fof(f51,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ? [X2] :
( next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp1) ) ),
inference(ennf_transformation,[],[f47]) ).
fof(f52,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ? [X2] :
( next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp1) ) ),
inference(flattening,[],[f51]) ).
fof(f53,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| root_occ(X0,X1) ),
inference(ennf_transformation,[],[f46]) ).
fof(f54,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| root_occ(X0,X1) ),
inference(flattening,[],[f53]) ).
fof(f55,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ? [X1,X2] :
( next_subocc(X1,X2,tptp0)
& leaf_occ(X2,X0)
& ( occurrence_of(X2,tptp2)
| occurrence_of(X2,tptp3) )
& root_occ(X1,X0)
& occurrence_of(X1,tptp4) ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f58,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(f59,plain,
! [X0,X1,X2,X3] :
( ~ leaf_occ(X1,X2)
| ~ leaf_occ(X0,X2)
| atomic(X3)
| ~ occurrence_of(X2,X3)
| X0 = X1 ),
inference(ennf_transformation,[],[f29]) ).
fof(f60,plain,
! [X0,X1,X2,X3] :
( ~ leaf_occ(X1,X2)
| ~ leaf_occ(X0,X2)
| atomic(X3)
| ~ occurrence_of(X2,X3)
| X0 = X1 ),
inference(flattening,[],[f59]) ).
fof(f61,plain,
! [X0,X1,X2] :
( ~ leaf_occ(X1,X0)
| ~ occurrence_of(X0,X2)
| ! [X3] : ~ min_precedes(X1,X3,X2) ),
inference(ennf_transformation,[],[f10]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ~ leaf_occ(X1,X0)
| ~ occurrence_of(X0,X2)
| ! [X3] : ~ min_precedes(X1,X3,X2) ),
inference(flattening,[],[f61]) ).
fof(f67,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ( arboreal(X0)
<=> atomic(X1) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f70,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,[],[f27]) ).
fof(f71,plain,
! [X0,X1,X2] :
( ~ next_subocc(X0,X1,X2)
| ( arboreal(X1)
& arboreal(X0) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f72,plain,
! [X0,X1,X2,X3] :
( ~ root_occ(X1,X2)
| ~ root_occ(X0,X2)
| ~ occurrence_of(X2,X3)
| X0 = X1 ),
inference(ennf_transformation,[],[f30]) ).
fof(f73,plain,
! [X0,X1,X2,X3] :
( ~ root_occ(X1,X2)
| ~ root_occ(X0,X2)
| ~ occurrence_of(X2,X3)
| X0 = X1 ),
inference(flattening,[],[f72]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ~ root_occ(X1,X0)
| ~ occurrence_of(X0,X2)
| ! [X3] : ~ min_precedes(X3,X1,X2) ),
inference(ennf_transformation,[],[f11]) ).
fof(f75,plain,
! [X0,X1,X2] :
( ~ root_occ(X1,X0)
| ~ occurrence_of(X0,X2)
| ! [X3] : ~ min_precedes(X3,X1,X2) ),
inference(flattening,[],[f74]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(ennf_transformation,[],[f9]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(flattening,[],[f78]) ).
fof(f82,plain,
occurrence_of(sK0,tptp0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f50]) ).
fof(f83,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ( next_subocc(X0,sK1(X0),tptp0)
& occurrence_of(sK1(X0),tptp1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0))],[f52]) ).
fof(f84,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ( next_subocc(sK2(X0),sK3(X0),tptp0)
& leaf_occ(sK3(X0),X0)
& ( occurrence_of(sK3(X0),tptp2)
| occurrence_of(sK3(X0),tptp3) )
& root_occ(sK2(X0),X0)
& occurrence_of(sK2(X0),tptp4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X1,sK2(X0)),skolemize(X2,sK3(X0))],[f55]) ).
fof(f85,plain,
! [X0,X1,X2] :
( ~ min_precedes(X1,X2,X0)
| ( subactivity_occurrence(X2,sK4(X0,X1,X2))
& subactivity_occurrence(X1,sK4(X0,X1,X2))
& occurrence_of(sK4(X0,X1,X2),X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X3,sK4(X0,X1,X2))],[f58]) ).
fof(f86,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ( ( ~ arboreal(X0)
| atomic(X1) )
& ( ~ atomic(X1)
| arboreal(X0) ) ) ),
inference(nnf_transformation,[],[f67]) ).
fof(f87,plain,
! [X0,X1,X2] :
( ( ~ next_subocc(X0,X1,X2)
| ( ! [X3] :
( ~ min_precedes(X3,X1,X2)
| ~ min_precedes(X0,X3,X2) )
& min_precedes(X0,X1,X2) ) )
& ( ? [X3] :
( min_precedes(X3,X1,X2)
& min_precedes(X0,X3,X2) )
| ~ min_precedes(X0,X1,X2)
| next_subocc(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f70]) ).
fof(f88,plain,
! [X0,X1,X2] :
( ( ~ next_subocc(X0,X1,X2)
| ( ! [X3] :
( ~ min_precedes(X3,X1,X2)
| ~ min_precedes(X0,X3,X2) )
& min_precedes(X0,X1,X2) ) )
& ( ? [X3] :
( min_precedes(X3,X1,X2)
& min_precedes(X0,X3,X2) )
| ~ min_precedes(X0,X1,X2)
| next_subocc(X0,X1,X2) ) ),
inference(flattening,[],[f87]) ).
fof(f89,plain,
! [X0,X1,X2] :
( ( ~ next_subocc(X0,X1,X2)
| ( ! [X4] :
( ~ min_precedes(X4,X1,X2)
| ~ min_precedes(X0,X4,X2) )
& min_precedes(X0,X1,X2) ) )
& ( ? [X3] :
( min_precedes(X3,X1,X2)
& min_precedes(X0,X3,X2) )
| ~ min_precedes(X0,X1,X2)
| next_subocc(X0,X1,X2) ) ),
inference(rectify,[],[f88]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ( ~ next_subocc(X0,X1,X2)
| ( ! [X4] :
( ~ min_precedes(X4,X1,X2)
| ~ min_precedes(X0,X4,X2) )
& min_precedes(X0,X1,X2) ) )
& ( ( min_precedes(sK5(X0,X1,X2),X1,X2)
& min_precedes(X0,sK5(X0,X1,X2),X2) )
| ~ min_precedes(X0,X1,X2)
| next_subocc(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X3,sK5(X0,X1,X2))],[f89]) ).
fof(f91,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(f92,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,[],[f91]) ).
fof(f93,plain,
! [X0,X1] :
( ( ~ root_occ(X0,X1)
| ( root(X0,sK6(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK6(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,[sK6]),skolemize(X3,sK6(X0,X1))],[f92]) ).
fof(f96,plain,
occurrence_of(sK0,tptp0),
inference(cnf_transformation,[],[f82]) ).
fof(f97,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| next_subocc(X0,sK1(X0),tptp0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f98,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| occurrence_of(sK1(X0),tptp1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f99,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| root_occ(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f100,plain,
~ atomic(tptp0),
inference(cnf_transformation,[],[f35]) ).
fof(f101,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| next_subocc(sK2(X0),sK3(X0),tptp0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f102,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| leaf_occ(sK3(X0),X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f103,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| occurrence_of(sK3(X0),tptp2)
| occurrence_of(sK3(X0),tptp3) ),
inference(cnf_transformation,[],[f84]) ).
fof(f104,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| root_occ(sK2(X0),X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f105,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| occurrence_of(sK2(X0),tptp4) ),
inference(cnf_transformation,[],[f84]) ).
fof(f107,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| subactivity_occurrence(X2,sK4(X0,X1,X2)) ),
inference(cnf_transformation,[],[f85]) ).
fof(f108,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| subactivity_occurrence(X1,sK4(X0,X1,X2)) ),
inference(cnf_transformation,[],[f85]) ).
fof(f109,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| occurrence_of(sK4(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f110,plain,
tptp2 != tptp1,
inference(cnf_transformation,[],[f44]) ).
fof(f111,plain,
tptp3 != tptp1,
inference(cnf_transformation,[],[f43]) ).
fof(f113,plain,
atomic(tptp1),
inference(cnf_transformation,[],[f39]) ).
fof(f114,plain,
! [X2,X3,X0,X1] :
( ~ leaf_occ(X1,X2)
| ~ leaf_occ(X0,X2)
| atomic(X3)
| ~ occurrence_of(X2,X3)
| X0 = X1 ),
inference(cnf_transformation,[],[f60]) ).
fof(f115,plain,
! [X2,X3,X0,X1] :
( ~ leaf_occ(X1,X0)
| ~ occurrence_of(X0,X2)
| ~ min_precedes(X1,X3,X2) ),
inference(cnf_transformation,[],[f62]) ).
fof(f119,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ~ atomic(X1)
| arboreal(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f122,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f126,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| arboreal(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f127,plain,
! [X2,X3,X0,X1] :
( ~ root_occ(X1,X2)
| ~ root_occ(X0,X2)
| ~ occurrence_of(X2,X3)
| X0 = X1 ),
inference(cnf_transformation,[],[f73]) ).
fof(f128,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| root(X0,sK6(X0,X1)) ),
inference(cnf_transformation,[],[f93]) ).
fof(f129,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f130,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| occurrence_of(X1,sK6(X0,X1)) ),
inference(cnf_transformation,[],[f93]) ).
fof(f131,plain,
! [X2,X0,X1] :
( ~ root(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2)
| root_occ(X0,X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f132,plain,
! [X2,X3,X0,X1] :
( ~ root_occ(X1,X0)
| ~ occurrence_of(X0,X2)
| ~ min_precedes(X3,X1,X2) ),
inference(cnf_transformation,[],[f75]) ).
fof(f137,plain,
atomic(tptp4),
inference(cnf_transformation,[],[f36]) ).
fof(f141,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_49,negated_conjecture,
occurrence_of(sK0,tptp0),
inference(cnf_transformation,[],[f96]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i] :
( leaf_occ(X0,X1)
| occurrence_of(sK1(X0),tptp1)
| ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i] :
( leaf_occ(X0,X1)
| next_subocc(X0,sK1(X0),tptp0)
| ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] :
( root_occ(X0,X1)
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_53,plain,
~ atomic(tptp0),
inference(cnf_transformation,[],[f100]) ).
tcf(c_54,plain,
! [X0: $i] :
( occurrence_of(sK2(X0),tptp4)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_55,plain,
! [X0: $i] :
( root_occ(sK2(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_56,plain,
! [X0: $i] :
( occurrence_of(sK3(X0),tptp2)
| occurrence_of(sK3(X0),tptp3)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_57,plain,
! [X0: $i] :
( leaf_occ(sK3(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_58,plain,
! [X0: $i] :
( next_subocc(sK2(X0),sK3(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i] :
( occurrence_of(sK4(X2,X0,X1),X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i] :
( subactivity_occurrence(X0,sK4(X2,X0,X1))
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i] :
( subactivity_occurrence(X1,sK4(X2,X0,X1))
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_63,plain,
tptp1 != tptp2,
inference(cnf_transformation,[],[f110]) ).
tcf(c_64,plain,
tptp1 != tptp3,
inference(cnf_transformation,[],[f111]) ).
tcf(c_66,plain,
atomic(tptp1),
inference(cnf_transformation,[],[f113]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( atomic(X1)
| ( X2 = X3 )
| ~ leaf_occ(X3,X0)
| ~ leaf_occ(X2,X0)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ leaf_occ(X0,X3)
| ~ occurrence_of(X3,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f115]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] :
( arboreal(X0)
| ~ atomic(X1)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f119]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i,X2: $i] :
( min_precedes(X0,X1,X2)
| ~ next_subocc(X0,X1,X2) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i,X2: $i] :
( arboreal(X0)
| ~ next_subocc(X0,X1,X2) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_80,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,[],[f127]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i] :
( root_occ(X2,X0)
| ~ root(X2,X1)
| ~ subactivity_occurrence(X2,X0)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i] :
( occurrence_of(X1,sK6(X0,X1))
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i] :
( subactivity_occurrence(X0,X1)
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i] :
( root(X0,sK6(X0,X1))
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_85,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,[],[f132]) ).
tcf(c_90,plain,
atomic(tptp4),
inference(cnf_transformation,[],[f137]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_1072,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( arboreal(X1)
| ~ occurrence_of(X0,tptp0)
| ( X3 != tptp0 )
| ( sK3(X0) != X2 )
| ( sK2(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_58,c_78]) ).
tcf(c_1073,plain,
! [X0: $i] :
( arboreal(sK2(X0))
| ~ occurrence_of(X0,tptp0) ),
inference(unflattening,[status(thm)],[c_1072]) ).
tcf(c_1835,plain,
! [X0: $i] :
( subactivity_occurrence(sK2(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(superposition,[status(thm)],[c_55,c_83]) ).
tcf(c_1854,plain,
! [X0: $i] :
( arboreal(sK2(X0))
| ~ atomic(tptp4)
| ~ occurrence_of(X0,tptp0) ),
inference(superposition,[status(thm)],[c_54,c_71]) ).
tcf(c_1855,plain,
! [X0: $i] :
( arboreal(sK2(X0))
| ~ occurrence_of(X0,tptp0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1854,c_90]) ).
tcf(c_1862,plain,
arboreal(sK2(sK0)),
inference(superposition,[status(thm)],[c_49,c_1855]) ).
tcf(c_1887,plain,
! [X0: $i,X1: $i] :
( arboreal(sK1(X0))
| leaf_occ(X0,X1)
| ~ atomic(tptp1)
| ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1) ),
inference(superposition,[status(thm)],[c_50,c_71]) ).
tcf(c_1888,plain,
! [X0: $i,X1: $i] :
( arboreal(sK1(X0))
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1887,c_66]) ).
tcf(c_1920,plain,
! [X0: $i] :
( min_precedes(sK2(X0),sK3(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(superposition,[status(thm)],[c_58,c_76]) ).
tcf(c_2015,plain,
! [X0: $i,X1: $i] :
( leaf_occ(X0,X1)
| min_precedes(X0,sK1(X0),tptp0)
| ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1) ),
inference(superposition,[status(thm)],[c_51,c_76]) ).
tcf(c_2042,plain,
! [X0: $i] :
( ( X0 = tptp0 )
| ~ occurrence_of(sK0,X0) ),
inference(superposition,[status(thm)],[c_49,c_94]) ).
tcf(c_2047,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(X2,X0) = X1 )
| ~ root_occ(X2,X0)
| ~ occurrence_of(X0,X1) ),
inference(superposition,[status(thm)],[c_82,c_94]) ).
tcf(c_2078,plain,
! [X0: $i,X1: $i] :
( ~ occurrence_of(X1,tptp0)
| ~ occurrence_of(X0,tptp0)
| ~ leaf_occ(sK2(X0),X1) ),
inference(superposition,[status(thm)],[c_1920,c_68]) ).
tcf(c_2099,plain,
! [X0: $i] :
( ( sK6(X0,sK0) = tptp0 )
| ~ root_occ(X0,sK0) ),
inference(superposition,[status(thm)],[c_82,c_2042]) ).
tcf(c_2107,plain,
( ( sK6(sK2(sK0),sK0) = tptp0 )
| ~ occurrence_of(sK0,tptp0) ),
inference(superposition,[status(thm)],[c_55,c_2099]) ).
tcf(c_2108,plain,
sK6(sK2(sK0),sK0) = tptp0,
inference(forward_subsumption_resolution,[status(thm)],[c_2107,c_49]) ).
tcf(c_2109,plain,
( root(sK2(sK0),tptp0)
| ~ root_occ(sK2(sK0),sK0) ),
inference(superposition,[status(thm)],[c_2108,c_84]) ).
tcf(c_2117,plain,
( root(sK2(sK0),tptp0)
| ~ occurrence_of(sK0,tptp0) ),
inference(superposition,[status(thm)],[c_55,c_2109]) ).
tcf(c_2118,plain,
root(sK2(sK0),tptp0),
inference(forward_subsumption_resolution,[status(thm)],[c_2117,c_49]) ).
tcf(c_2174,plain,
! [X0: $i,X1: $i,X2: $i] :
( root_occ(X0,sK4(tptp0,X1,X2))
| leaf_occ(X0,sK4(tptp0,X1,X2))
| ~ arboreal(X0)
| ~ min_precedes(X1,X2,tptp0)
| ~ subactivity_occurrence(X0,sK4(tptp0,X1,X2)) ),
inference(superposition,[status(thm)],[c_60,c_52]) ).
tcf(c_2211,plain,
! [X0: $i] :
( root_occ(X0,sK0)
| ~ root(X0,tptp0)
| ~ subactivity_occurrence(X0,sK0) ),
inference(superposition,[status(thm)],[c_49,c_81]) ).
tcf(c_2215,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( root_occ(X0,sK4(X1,X2,X3))
| ~ root(X0,X1)
| ~ min_precedes(X2,X3,X1)
| ~ subactivity_occurrence(X0,sK4(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_60,c_81]) ).
tcf(c_2308,plain,
( root_occ(sK2(sK0),sK0)
| ~ occurrence_of(sK0,tptp0)
| ~ root(sK2(sK0),tptp0) ),
inference(superposition,[status(thm)],[c_1835,c_2211]) ).
tcf(c_2309,plain,
root_occ(sK2(sK0),sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_2308,c_49,c_2118]) ).
tcf(c_2315,plain,
subactivity_occurrence(sK2(sK0),sK0),
inference(superposition,[status(thm)],[c_2309,c_83]) ).
tcf(c_2418,plain,
( next_subocc(sK2(sK0),sK3(sK0),tptp0)
| ~ occurrence_of(sK0,tptp0) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_2485,plain,
! [X0: $i,X1: $i] :
( ~ occurrence_of(sK0,tptp0)
| ~ leaf_occ(X0,sK0)
| ~ min_precedes(X0,X1,tptp0) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_2562,plain,
! [X0: $i] :
( ( tptp1 = tptp2 )
| ~ occurrence_of(X0,tptp2)
| ~ occurrence_of(X0,tptp1) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_2681,plain,
! [X0: $i] :
( ( tptp1 = tptp3 )
| ~ occurrence_of(X0,tptp3)
| ~ occurrence_of(X0,tptp1) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_3302,plain,
! [X0: $i,X1: $i] :
( occurrence_of(sK1(sK2(X0)),tptp1)
| ~ arboreal(sK2(X0))
| ~ occurrence_of(X1,tptp0)
| ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK2(X0),X1) ),
inference(superposition,[status(thm)],[c_50,c_2078]) ).
tcf(c_3339,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sK6(X0,sK4(X1,X2,X3)) = X1 )
| ~ min_precedes(X2,X3,X1)
| ~ root_occ(X0,sK4(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_60,c_2047]) ).
tcf(c_3875,plain,
! [X0: $i] :
( leaf_occ(X0,sK0)
| arboreal(sK1(X0))
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,sK0) ),
inference(superposition,[status(thm)],[c_49,c_1888]) ).
tcf(c_3898,plain,
( leaf_occ(sK2(sK0),sK0)
| arboreal(sK1(sK2(sK0)))
| ~ arboreal(sK2(sK0)) ),
inference(superposition,[status(thm)],[c_2315,c_3875]) ).
tcf(c_3899,plain,
( leaf_occ(sK2(sK0),sK0)
| arboreal(sK1(sK2(sK0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3898,c_1862]) ).
tcf(c_3909,plain,
( min_precedes(sK2(sK0),sK3(sK0),tptp0)
| ~ next_subocc(sK2(sK0),sK3(sK0),tptp0) ),
inference(instantiation,[status(thm)],[c_76]) ).
tcf(c_3982,plain,
( arboreal(sK1(sK2(sK0)))
| ~ occurrence_of(sK0,tptp0) ),
inference(superposition,[status(thm)],[c_3899,c_2078]) ).
tcf(c_3987,plain,
arboreal(sK1(sK2(sK0))),
inference(forward_subsumption_resolution,[status(thm)],[c_3982,c_49]) ).
tcf(c_4376,plain,
! [X0: $i,X1: $i,X2: $i] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ occurrence_of(X2,tptp0)
| ~ occurrence_of(X1,tptp0)
| ~ leaf_occ(X0,X2)
| ~ subactivity_occurrence(X0,X1) ),
inference(superposition,[status(thm)],[c_2015,c_68]) ).
tcf(c_6141,plain,
( occurrence_of(sK4(tptp0,sK2(sK0),sK3(sK0)),tptp0)
| ~ min_precedes(sK2(sK0),sK3(sK0),tptp0) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_7918,plain,
! [X0: $i,X1: $i,X2: $i] :
( root_occ(X0,sK4(X2,X0,X1))
| ~ root(X0,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_61,c_2215]) ).
tcf(c_7969,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(X0,sK4(X2,X0,X1)) = X2 )
| ~ root(X0,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_7918,c_3339]) ).
tcf(c_8881,plain,
! [X0: $i,X1: $i] :
( occurrence_of(sK1(sK2(X0)),tptp1)
| ~ subactivity_occurrence(sK2(X0),X1)
| ~ occurrence_of(X0,tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(global_subsumption_just,[status(thm)],[c_3302,c_1073,c_3302]) ).
tcf(c_8882,plain,
! [X0: $i,X1: $i] :
( occurrence_of(sK1(sK2(X0)),tptp1)
| ~ occurrence_of(X1,tptp0)
| ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK2(X0),X1) ),
inference(renaming,[status(thm)],[c_8881]) ).
tcf(c_8894,plain,
! [X0: $i] :
( occurrence_of(sK1(sK2(X0)),tptp1)
| ~ occurrence_of(X0,tptp0) ),
inference(superposition,[status(thm)],[c_1835,c_8882]) ).
tcf(c_9400,plain,
! [X0: $i] :
( ( sK6(sK2(X0),sK4(tptp0,sK2(X0),sK3(X0))) = tptp0 )
| ~ occurrence_of(X0,tptp0)
| ~ root(sK2(X0),tptp0) ),
inference(superposition,[status(thm)],[c_1920,c_7969]) ).
tcf(c_9964,plain,
! [X0: $i,X1: $i] :
( leaf_occ(X0,sK0)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,sK0)
| ~ occurrence_of(X1,tptp0)
| ~ leaf_occ(X0,X1) ),
inference(superposition,[status(thm)],[c_49,c_4376]) ).
tcf(c_10037,plain,
! [X0: $i,X1: $i,X2: $i] :
( leaf_occ(X0,sK0)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,sK0)
| ~ min_precedes(X1,X2,tptp0)
| ~ leaf_occ(X0,sK4(tptp0,X1,X2)) ),
inference(superposition,[status(thm)],[c_60,c_9964]) ).
tcf(c_10747,plain,
( ( sK6(sK2(sK0),sK4(tptp0,sK2(sK0),sK3(sK0))) = tptp0 )
| ~ occurrence_of(sK0,tptp0) ),
inference(superposition,[status(thm)],[c_2118,c_9400]) ).
tcf(c_10748,plain,
sK6(sK2(sK0),sK4(tptp0,sK2(sK0),sK3(sK0))) = tptp0,
inference(forward_subsumption_resolution,[status(thm)],[c_10747,c_49]) ).
tcf(c_10752,plain,
( occurrence_of(sK4(tptp0,sK2(sK0),sK3(sK0)),tptp0)
| ~ root_occ(sK2(sK0),sK4(tptp0,sK2(sK0),sK3(sK0))) ),
inference(superposition,[status(thm)],[c_10748,c_82]) ).
tcf(c_10764,plain,
occurrence_of(sK4(tptp0,sK2(sK0),sK3(sK0)),tptp0),
inference(global_subsumption_just,[status(thm)],[c_10752,c_49,c_2418,c_3909,c_6141]) ).
tcf(c_10775,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ root_occ(X1,sK4(tptp0,sK2(sK0),sK3(sK0)))
| ~ root_occ(X0,sK4(tptp0,sK2(sK0),sK3(sK0))) ),
inference(superposition,[status(thm)],[c_10764,c_80]) ).
tcf(c_10777,plain,
! [X0: $i] :
( root_occ(X0,sK4(tptp0,sK2(sK0),sK3(sK0)))
| ~ root(X0,tptp0)
| ~ subactivity_occurrence(X0,sK4(tptp0,sK2(sK0),sK3(sK0))) ),
inference(superposition,[status(thm)],[c_10764,c_81]) ).
tcf(c_11763,plain,
( root_occ(sK2(sK0),sK4(tptp0,sK2(sK0),sK3(sK0)))
| ~ root(sK2(sK0),tptp0)
| ~ min_precedes(sK2(sK0),sK3(sK0),tptp0) ),
inference(superposition,[status(thm)],[c_61,c_10777]) ).
tcf(c_11773,plain,
( root_occ(sK2(sK0),sK4(tptp0,sK2(sK0),sK3(sK0)))
| ~ min_precedes(sK2(sK0),sK3(sK0),tptp0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11763,c_2118]) ).
tcf(c_11816,plain,
root_occ(sK2(sK0),sK4(tptp0,sK2(sK0),sK3(sK0))),
inference(global_subsumption_just,[status(thm)],[c_11773,c_49,c_2418,c_3909,c_11773]) ).
tcf(c_12254,plain,
( ( tptp1 = tptp3 )
| ~ occurrence_of(sK1(sK2(sK0)),tptp3)
| ~ occurrence_of(sK1(sK2(sK0)),tptp1) ),
inference(instantiation,[status(thm)],[c_2681]) ).
tcf(c_12255,plain,
( ( tptp1 = tptp2 )
| ~ occurrence_of(sK1(sK2(sK0)),tptp2)
| ~ occurrence_of(sK1(sK2(sK0)),tptp1) ),
inference(instantiation,[status(thm)],[c_2562]) ).
tcf(c_13515,plain,
! [X0: $i] :
( ( sK2(sK4(tptp0,sK2(sK0),sK3(sK0))) = X0 )
| ~ occurrence_of(sK4(tptp0,sK2(sK0),sK3(sK0)),tptp0)
| ~ root_occ(X0,sK4(tptp0,sK2(sK0),sK3(sK0))) ),
inference(superposition,[status(thm)],[c_55,c_10775]) ).
tcf(c_13524,plain,
! [X0: $i] :
( ( sK2(sK4(tptp0,sK2(sK0),sK3(sK0))) = X0 )
| ~ root_occ(X0,sK4(tptp0,sK2(sK0),sK3(sK0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13515,c_10764]) ).
tcf(c_13535,plain,
sK2(sK4(tptp0,sK2(sK0),sK3(sK0))) = sK2(sK0),
inference(superposition,[status(thm)],[c_11816,c_13524]) ).
tcf(c_13685,plain,
( occurrence_of(sK1(sK2(sK0)),tptp1)
| ~ occurrence_of(sK4(tptp0,sK2(sK0),sK3(sK0)),tptp0) ),
inference(superposition,[status(thm)],[c_13535,c_8894]) ).
tcf(c_13692,plain,
! [X0: $i] :
( ~ occurrence_of(X0,tptp0)
| ~ leaf_occ(sK2(sK0),X0)
| ~ occurrence_of(sK4(tptp0,sK2(sK0),sK3(sK0)),tptp0) ),
inference(superposition,[status(thm)],[c_13535,c_2078]) ).
tcf(c_13709,plain,
occurrence_of(sK1(sK2(sK0)),tptp1),
inference(forward_subsumption_resolution,[status(thm)],[c_13685,c_10764]) ).
tcf(c_13713,plain,
! [X0: $i] :
( ~ occurrence_of(X0,tptp0)
| ~ leaf_occ(sK2(sK0),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13692,c_10764]) ).
tcf(c_14405,plain,
! [X0: $i] :
( next_subocc(sK2(sK0),sK1(sK2(sK0)),tptp0)
| ~ arboreal(sK2(sK0))
| ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK2(sK0),X0) ),
inference(superposition,[status(thm)],[c_51,c_13713]) ).
tcf(c_14407,plain,
! [X0: $i] :
( next_subocc(sK2(sK0),sK1(sK2(sK0)),tptp0)
| ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK2(sK0),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14405,c_1862]) ).
tcf(c_14617,plain,
( next_subocc(sK2(sK0),sK1(sK2(sK0)),tptp0)
| ~ occurrence_of(sK0,tptp0) ),
inference(superposition,[status(thm)],[c_1835,c_14407]) ).
tcf(c_14620,plain,
next_subocc(sK2(sK0),sK1(sK2(sK0)),tptp0),
inference(forward_subsumption_resolution,[status(thm)],[c_14617,c_49]) ).
tcf(c_14622,plain,
min_precedes(sK2(sK0),sK1(sK2(sK0)),tptp0),
inference(superposition,[status(thm)],[c_14620,c_76]) ).
tcf(c_14628,plain,
( ( sK6(sK2(sK0),sK4(tptp0,sK2(sK0),sK1(sK2(sK0)))) = tptp0 )
| ~ root(sK2(sK0),tptp0) ),
inference(superposition,[status(thm)],[c_14622,c_7969]) ).
tcf(c_14631,plain,
! [X0: $i] :
( ~ occurrence_of(X0,tptp0)
| ~ root_occ(sK1(sK2(sK0)),X0) ),
inference(superposition,[status(thm)],[c_14622,c_85]) ).
tcf(c_14645,plain,
sK6(sK2(sK0),sK4(tptp0,sK2(sK0),sK1(sK2(sK0)))) = tptp0,
inference(forward_subsumption_resolution,[status(thm)],[c_14628,c_2118]) ).
tcf(c_14711,plain,
( occurrence_of(sK4(tptp0,sK2(sK0),sK1(sK2(sK0))),tptp0)
| ~ root_occ(sK2(sK0),sK4(tptp0,sK2(sK0),sK1(sK2(sK0)))) ),
inference(superposition,[status(thm)],[c_14645,c_82]) ).
tcf(c_15957,plain,
( occurrence_of(sK4(tptp0,sK2(sK0),sK1(sK2(sK0))),tptp0)
| ~ root(sK2(sK0),tptp0)
| ~ min_precedes(sK2(sK0),sK1(sK2(sK0)),tptp0) ),
inference(superposition,[status(thm)],[c_7918,c_14711]) ).
tcf(c_15958,plain,
occurrence_of(sK4(tptp0,sK2(sK0),sK1(sK2(sK0))),tptp0),
inference(forward_subsumption_resolution,[status(thm)],[c_15957,c_2118,c_14622]) ).
tcf(c_15969,plain,
! [X0: $i,X1: $i] :
( atomic(tptp0)
| ( X0 = X1 )
| ~ leaf_occ(X1,sK4(tptp0,sK2(sK0),sK1(sK2(sK0))))
| ~ leaf_occ(X0,sK4(tptp0,sK2(sK0),sK1(sK2(sK0)))) ),
inference(superposition,[status(thm)],[c_15958,c_67]) ).
tcf(c_15994,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ leaf_occ(X1,sK4(tptp0,sK2(sK0),sK1(sK2(sK0))))
| ~ leaf_occ(X0,sK4(tptp0,sK2(sK0),sK1(sK2(sK0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15969,c_53]) ).
tcf(c_18042,plain,
! [X0: $i] :
( root_occ(sK1(sK2(sK0)),X0)
| leaf_occ(sK1(sK2(sK0)),X0)
| ~ occurrence_of(X0,tptp0)
| ~ arboreal(sK1(sK2(sK0)))
| ~ subactivity_occurrence(sK1(sK2(sK0)),X0) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_27340,plain,
! [X0: $i] :
( ( sK3(sK4(tptp0,sK2(sK0),sK1(sK2(sK0)))) = X0 )
| ~ occurrence_of(sK4(tptp0,sK2(sK0),sK1(sK2(sK0))),tptp0)
| ~ leaf_occ(X0,sK4(tptp0,sK2(sK0),sK1(sK2(sK0)))) ),
inference(superposition,[status(thm)],[c_57,c_15994]) ).
tcf(c_27343,plain,
! [X0: $i] :
( ( sK3(sK4(tptp0,sK2(sK0),sK1(sK2(sK0)))) = X0 )
| ~ leaf_occ(X0,sK4(tptp0,sK2(sK0),sK1(sK2(sK0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27340,c_15958]) ).
tcf(c_69387,plain,
! [X0: $i,X1: $i] :
( root_occ(X0,sK4(tptp0,X0,X1))
| leaf_occ(X0,sK4(tptp0,X0,X1))
| ~ arboreal(X0)
| ~ min_precedes(X0,X1,tptp0) ),
inference(superposition,[status(thm)],[c_61,c_2174]) ).
tcf(c_69524,plain,
! [X0: $i,X1: $i] :
( leaf_occ(X0,sK0)
| root_occ(X0,sK4(tptp0,X0,X1))
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,sK0)
| ~ min_precedes(X0,X1,tptp0) ),
inference(superposition,[status(thm)],[c_69387,c_10037]) ).
tcf(c_70201,plain,
! [X0: $i,X1: $i] :
( ~ min_precedes(X0,X1,tptp0)
| ~ subactivity_occurrence(X0,sK0)
| ~ arboreal(X0)
| root_occ(X0,sK4(tptp0,X0,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_69524,c_49,c_2485,c_69524]) ).
tcf(c_70202,plain,
! [X0: $i,X1: $i] :
( root_occ(X0,sK4(tptp0,X0,X1))
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,sK0)
| ~ min_precedes(X0,X1,tptp0) ),
inference(renaming,[status(thm)],[c_70201]) ).
tcf(c_70239,plain,
! [X0: $i] :
( ~ arboreal(sK1(sK2(sK0)))
| ~ subactivity_occurrence(sK1(sK2(sK0)),sK0)
| ~ min_precedes(sK1(sK2(sK0)),X0,tptp0)
| ~ occurrence_of(sK4(tptp0,sK1(sK2(sK0)),X0),tptp0) ),
inference(superposition,[status(thm)],[c_70202,c_14631]) ).
tcf(c_70272,plain,
! [X0: $i] :
( ~ subactivity_occurrence(sK1(sK2(sK0)),sK0)
| ~ min_precedes(sK1(sK2(sK0)),X0,tptp0)
| ~ occurrence_of(sK4(tptp0,sK1(sK2(sK0)),X0),tptp0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70239,c_3987]) ).
tcf(c_77838,plain,
! [X0: $i] :
( ~ subactivity_occurrence(sK1(sK2(sK0)),sK0)
| ~ min_precedes(sK1(sK2(sK0)),X0,tptp0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70272,c_60]) ).
tcf(c_77862,plain,
! [X0: $i] :
( leaf_occ(sK1(sK2(sK0)),X0)
| ~ occurrence_of(X0,tptp0)
| ~ arboreal(sK1(sK2(sK0)))
| ~ subactivity_occurrence(sK1(sK2(sK0)),sK0)
| ~ subactivity_occurrence(sK1(sK2(sK0)),X0) ),
inference(superposition,[status(thm)],[c_2015,c_77838]) ).
tcf(c_77882,plain,
! [X0: $i] :
( leaf_occ(sK1(sK2(sK0)),X0)
| ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK1(sK2(sK0)),sK0)
| ~ subactivity_occurrence(sK1(sK2(sK0)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77862,c_3987]) ).
tcf(c_79045,plain,
! [X0: $i] :
( leaf_occ(sK1(sK2(sK0)),X0)
| ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK1(sK2(sK0)),X0) ),
inference(global_subsumption_just,[status(thm)],[c_77882,c_3987,c_14631,c_18042]) ).
tcf(c_79055,plain,
! [X0: $i,X1: $i] :
( leaf_occ(sK1(sK2(sK0)),sK4(X0,X1,sK1(sK2(sK0))))
| ~ min_precedes(X1,sK1(sK2(sK0)),X0)
| ~ occurrence_of(sK4(X0,X1,sK1(sK2(sK0))),tptp0) ),
inference(superposition,[status(thm)],[c_62,c_79045]) ).
tcf(c_79666,plain,
( ( sK3(sK4(tptp0,sK2(sK0),sK1(sK2(sK0)))) = sK1(sK2(sK0)) )
| ~ min_precedes(sK2(sK0),sK1(sK2(sK0)),tptp0)
| ~ occurrence_of(sK4(tptp0,sK2(sK0),sK1(sK2(sK0))),tptp0) ),
inference(superposition,[status(thm)],[c_79055,c_27343]) ).
tcf(c_79675,plain,
sK3(sK4(tptp0,sK2(sK0),sK1(sK2(sK0)))) = sK1(sK2(sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_79666,c_14622,c_15958]) ).
tcf(c_80012,plain,
( occurrence_of(sK1(sK2(sK0)),tptp2)
| occurrence_of(sK3(sK4(tptp0,sK2(sK0),sK1(sK2(sK0)))),tptp3)
| ~ occurrence_of(sK4(tptp0,sK2(sK0),sK1(sK2(sK0))),tptp0) ),
inference(superposition,[status(thm)],[c_79675,c_56]) ).
tcf(c_80032,plain,
( occurrence_of(sK1(sK2(sK0)),tptp2)
| occurrence_of(sK1(sK2(sK0)),tptp3)
| ~ occurrence_of(sK4(tptp0,sK2(sK0),sK1(sK2(sK0))),tptp0) ),
inference(light_normalisation,[status(thm)],[c_80012,c_79675]) ).
tcf(c_80033,plain,
( occurrence_of(sK1(sK2(sK0)),tptp2)
| occurrence_of(sK1(sK2(sK0)),tptp3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80032,c_15958]) ).
tcf(c_80158,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_80033,c_13709,c_12254,c_12255,c_63,c_64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO005+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n014.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 06:25:33 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 25.47/5.73 % SZS status Started for theBenchmark.p
% 25.47/5.73 % SZS status Theorem for theBenchmark.p
% 25.47/5.73
% 25.47/5.73 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 25.47/5.73
% 25.47/5.73 % ------ iProver source info
% 25.47/5.73
% 25.47/5.73 % git: date: 2026-07-19 20:42:38 +0200
% 25.47/5.73 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 25.47/5.73 % git: non_committed_changes: false
% 25.47/5.73
% 25.47/5.73 % ------ Parsing...
% 25.47/5.73 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 25.47/5.73
% 25.47/5.73 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 25.47/5.73
% 25.47/5.73 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 25.47/5.73
% 25.47/5.73 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 25.47/5.73 % ------ Proving...
% 25.47/5.73 % ------ Problem Properties
% 25.47/5.73
% 25.47/5.73 %
% 25.47/5.73 % clauses 49
% 25.47/5.73 % conjectures 1
% 25.47/5.73 % EPR 31
% 25.47/5.73 % Horn 37
% 25.47/5.73 % unary 12
% 25.47/5.73 % binary 16
% 25.47/5.73 % lits 130
% 25.47/5.73 % lits eq 12
% 25.47/5.73 % fd_pure 0
% 25.47/5.73 % fd_pseudo 0
% 25.47/5.73 % fd_cond 0
% 25.47/5.73 % fd_pseudo_cond 6
% 25.47/5.73 % AC symbols 0
% 25.47/5.73
% 25.47/5.73 % ------ Schedule dynamic 5 is on
% 25.47/5.73
% 25.47/5.73 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 25.47/5.73
% 25.47/5.73
% 25.47/5.73 % ------
% 25.47/5.73 % Current options:
% 25.47/5.73 % ------
% 25.47/5.73
% 25.47/5.73
% 25.47/5.73 %
% 25.47/5.73
% 25.47/5.73 % ------ Proving...
% 25.47/5.73 %
% 25.47/5.73
% 25.47/5.73 % SZS status Theorem for theBenchmark.p
% 25.47/5.73
% 25.47/5.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 25.47/5.73
% 25.47/5.73
%------------------------------------------------------------------------------