%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PRO004+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:31:32 PM UTC 2026
% Result : Theorem 10.41s 7.78s
% Output : CNFRefutation 10.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 19
% Syntax : Number of formulae : 198 ( 36 unt; 0 def)
% Number of atoms : 591 ( 47 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 706 ( 313 ~; 310 |; 66 &)
% ( 5 <=>; 12 =>; 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 : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 356 ( 0 sgn 335 !; 21 ?; 136 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2,X3] :
( ( min_precedes(X1,X2,X3)
& min_precedes(X0,X1,X3) )
=> min_precedes(X0,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( root_occ(X1,X2)
& root_occ(X0,X2)
& occurrence_of(X2,X3) )
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( ( leaf_occ(X1,X2)
& leaf_occ(X0,X2)
& ~ atomic(X3)
& occurrence_of(X2,X3) )
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).
fof(f5,axiom,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
<=> ( ~ ? [X3] :
( min_precedes(X3,X1,X2)
& min_precedes(X0,X3,X2) )
& min_precedes(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).
fof(f6,axiom,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
=> ( arboreal(X1)
& arboreal(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_05) ).
fof(f11,axiom,
! [X0,X1] :
( root_occ(X0,X1)
<=> ? [X2] :
( root(X0,X2)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_10) ).
fof(f14,axiom,
! [X0,X1] :
( occurrence_of(X0,X1)
=> ( arboreal(X0)
<=> atomic(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_13) ).
fof(f21,axiom,
! [X0,X1,X2] :
( ( root_occ(X1,X0)
& occurrence_of(X0,X2) )
=> ~ ? [X3] : min_precedes(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_20) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( leaf_occ(X1,X0)
& occurrence_of(X0,X2) )
=> ~ ? [X3] : min_precedes(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_21) ).
fof(f23,axiom,
! [X0,X1,X2] :
( ( occurrence_of(X0,X2)
& occurrence_of(X0,X1) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_22) ).
fof(f25,axiom,
! [X0,X1,X2] :
( min_precedes(X1,X2,X0)
=> ? [X3] :
( subactivity_occurrence(X2,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_24) ).
fof(f33,axiom,
! [X0] :
( occurrence_of(X0,tptp0)
=> ? [X1,X2] :
( next_subocc(X1,X2,tptp0)
& leaf_occ(X2,X0)
& occurrence_of(X2,tptp3)
& root_occ(X1,X0)
& occurrence_of(X1,tptp4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).
fof(f35,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_34) ).
fof(f36,axiom,
atomic(tptp4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_35) ).
fof(f39,axiom,
atomic(tptp1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_38) ).
fof(f43,axiom,
tptp1 != tptp3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_42) ).
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/sandbox/benchmark/theBenchmark.p',sos_45) ).
fof(f48,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/sandbox/benchmark/theBenchmark.p',sos_47) ).
fof(f49,conjecture,
~ ? [X0] : occurrence_of(X0,tptp0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f50,negated_conjecture,
~ ~ ? [X0] : occurrence_of(X0,tptp0),
inference(negated_conjecture,[status(cth)],[f49]) ).
fof(f51,plain,
? [X0] : occurrence_of(X0,tptp0),
inference(flattening,[],[f50]) ).
fof(f54,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(f55,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| root_occ(X0,X1) ),
inference(flattening,[],[f54]) ).
fof(f56,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ? [X1,X2] :
( next_subocc(X1,X2,tptp0)
& leaf_occ(X2,X0)
& occurrence_of(X2,tptp3)
& root_occ(X1,X0)
& occurrence_of(X1,tptp4) ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f57,plain,
! [X0,X1,X2] :
( ~ root_occ(X1,X0)
| ~ occurrence_of(X0,X2)
| ! [X3] : ~ min_precedes(X3,X1,X2) ),
inference(ennf_transformation,[],[f21]) ).
fof(f58,plain,
! [X0,X1,X2] :
( ~ root_occ(X1,X0)
| ~ occurrence_of(X0,X2)
| ! [X3] : ~ min_precedes(X3,X1,X2) ),
inference(flattening,[],[f57]) ).
fof(f59,plain,
! [X0,X1,X2,X3] :
( ~ root_occ(X1,X2)
| ~ root_occ(X0,X2)
| ~ occurrence_of(X2,X3)
| X0 = X1 ),
inference(ennf_transformation,[],[f3]) ).
fof(f60,plain,
! [X0,X1,X2,X3] :
( ~ root_occ(X1,X2)
| ~ root_occ(X0,X2)
| ~ 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,[],[f22]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ~ leaf_occ(X1,X0)
| ~ occurrence_of(X0,X2)
| ! [X3] : ~ min_precedes(X1,X3,X2) ),
inference(flattening,[],[f61]) ).
fof(f63,plain,
! [X0,X1,X2,X3] :
( ~ leaf_occ(X1,X2)
| ~ leaf_occ(X0,X2)
| atomic(X3)
| ~ occurrence_of(X2,X3)
| X0 = X1 ),
inference(ennf_transformation,[],[f4]) ).
fof(f64,plain,
! [X0,X1,X2,X3] :
( ~ leaf_occ(X1,X2)
| ~ leaf_occ(X0,X2)
| atomic(X3)
| ~ occurrence_of(X2,X3)
| X0 = X1 ),
inference(flattening,[],[f63]) ).
fof(f67,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ( arboreal(X0)
<=> atomic(X1) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ~ min_precedes(X1,X2,X0)
| ? [X3] :
( subactivity_occurrence(X2,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X0) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f71,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,[],[f48]) ).
fof(f72,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,[],[f71]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ~ next_subocc(X0,X1,X2)
| ( arboreal(X1)
& arboreal(X0) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f74,plain,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
<=> ( ! [X3] :
( ~ min_precedes(X3,X1,X2)
| ~ min_precedes(X0,X3,X2) )
& min_precedes(X0,X1,X2) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f76,plain,
! [X0,X1,X2,X3] :
( ~ min_precedes(X1,X2,X3)
| ~ min_precedes(X0,X1,X3)
| min_precedes(X0,X2,X3) ),
inference(ennf_transformation,[],[f1]) ).
fof(f77,plain,
! [X0,X1,X2,X3] :
( ~ min_precedes(X1,X2,X3)
| ~ min_precedes(X0,X1,X3)
| min_precedes(X0,X2,X3) ),
inference(flattening,[],[f76]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(ennf_transformation,[],[f23]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(flattening,[],[f78]) ).
fof(f80,plain,
occurrence_of(sK0,tptp0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f51]) ).
fof(f81,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ( next_subocc(sK1(X0),sK2(X0),tptp0)
& leaf_occ(sK2(X0),X0)
& occurrence_of(sK2(X0),tptp3)
& root_occ(sK1(X0),X0)
& occurrence_of(sK1(X0),tptp4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X1,sK1(X0)),skolemize(X2,sK2(X0))],[f56]) ).
fof(f82,plain,
! [X0,X1] :
( ( ~ root_occ(X0,X1)
| ? [X2] :
( root(X0,X2)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X2) ) )
& ( ! [X2] :
( ~ root(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) )
| root_occ(X0,X1) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f83,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,[],[f82]) ).
fof(f84,plain,
! [X0,X1] :
( ( ~ root_occ(X0,X1)
| ( root(X0,sK3(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK3(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,[sK3]),skolemize(X3,sK3(X0,X1))],[f83]) ).
fof(f85,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] :
( ~ min_precedes(X1,X2,X0)
| ( subactivity_occurrence(X2,sK5(X0,X1,X2))
& subactivity_occurrence(X1,sK5(X0,X1,X2))
& occurrence_of(sK5(X0,X1,X2),X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X3,sK5(X0,X1,X2))],[f70]) ).
fof(f88,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ( next_subocc(X0,sK6(X0),tptp0)
& occurrence_of(sK6(X0),tptp1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X2,sK6(X0))],[f72]) ).
fof(f89,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,[],[f74]) ).
fof(f90,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,[],[f89]) ).
fof(f91,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,[],[f90]) ).
fof(f92,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(sK7(X0,X1,X2),X1,X2)
& min_precedes(X0,sK7(X0,X1,X2),X2) )
| ~ min_precedes(X0,X1,X2)
| next_subocc(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X3,sK7(X0,X1,X2))],[f91]) ).
fof(f93,plain,
occurrence_of(sK0,tptp0),
inference(cnf_transformation,[],[f80]) ).
fof(f95,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| root_occ(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f96,plain,
~ atomic(tptp0),
inference(cnf_transformation,[],[f35]) ).
fof(f97,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| next_subocc(sK1(X0),sK2(X0),tptp0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f98,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| leaf_occ(sK2(X0),X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f99,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| occurrence_of(sK2(X0),tptp3) ),
inference(cnf_transformation,[],[f81]) ).
fof(f100,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| root_occ(sK1(X0),X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f101,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| occurrence_of(sK1(X0),tptp4) ),
inference(cnf_transformation,[],[f81]) ).
fof(f102,plain,
! [X2,X3,X0,X1] :
( ~ root_occ(X1,X0)
| ~ occurrence_of(X0,X2)
| ~ min_precedes(X3,X1,X2) ),
inference(cnf_transformation,[],[f58]) ).
fof(f103,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| root(X0,sK3(X0,X1)) ),
inference(cnf_transformation,[],[f84]) ).
fof(f104,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f105,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| occurrence_of(X1,sK3(X0,X1)) ),
inference(cnf_transformation,[],[f84]) ).
fof(f106,plain,
! [X2,X0,X1] :
( ~ root(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2)
| root_occ(X0,X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f107,plain,
! [X2,X3,X0,X1] :
( ~ root_occ(X1,X2)
| ~ root_occ(X0,X2)
| ~ occurrence_of(X2,X3)
| X0 = X1 ),
inference(cnf_transformation,[],[f60]) ).
fof(f108,plain,
! [X2,X3,X0,X1] :
( ~ leaf_occ(X1,X0)
| ~ occurrence_of(X0,X2)
| ~ min_precedes(X1,X3,X2) ),
inference(cnf_transformation,[],[f62]) ).
fof(f109,plain,
! [X2,X3,X0,X1] :
( ~ leaf_occ(X1,X2)
| ~ leaf_occ(X0,X2)
| atomic(X3)
| ~ occurrence_of(X2,X3)
| X0 = X1 ),
inference(cnf_transformation,[],[f64]) ).
fof(f112,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ~ atomic(X1)
| arboreal(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f115,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| subactivity_occurrence(X2,sK5(X0,X1,X2)) ),
inference(cnf_transformation,[],[f87]) ).
fof(f116,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| subactivity_occurrence(X1,sK5(X0,X1,X2)) ),
inference(cnf_transformation,[],[f87]) ).
fof(f117,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| occurrence_of(sK5(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f121,plain,
atomic(tptp4),
inference(cnf_transformation,[],[f36]) ).
fof(f123,plain,
tptp3 != tptp1,
inference(cnf_transformation,[],[f43]) ).
fof(f125,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| next_subocc(X0,sK6(X0),tptp0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f126,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| occurrence_of(sK6(X0),tptp1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f128,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| arboreal(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f130,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f92]) ).
fof(f134,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X1,X2,X3)
| ~ min_precedes(X0,X1,X3)
| min_precedes(X0,X2,X3) ),
inference(cnf_transformation,[],[f77]) ).
fof(f135,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f79]) ).
fof(f138,plain,
atomic(tptp1),
inference(cnf_transformation,[],[f39]) ).
tcf(c_49,negated_conjecture,
occurrence_of(sK0,tptp0),
inference(cnf_transformation,[],[f93]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i] :
( leaf_occ(X0,X1)
| root_occ(X0,X1)
| ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_52,plain,
~ atomic(tptp0),
inference(cnf_transformation,[],[f96]) ).
tcf(c_53,plain,
! [X0: $i] :
( occurrence_of(sK1(X0),tptp4)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_54,plain,
! [X0: $i] :
( root_occ(sK1(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_55,plain,
! [X0: $i] :
( occurrence_of(sK2(X0),tptp3)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_56,plain,
! [X0: $i] :
( leaf_occ(sK2(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_57,plain,
! [X0: $i] :
( next_subocc(sK1(X0),sK2(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_58,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,[],[f102]) ).
tcf(c_59,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,[],[f106]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( occurrence_of(X1,sK3(X0,X1))
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] :
( subactivity_occurrence(X0,X1)
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] :
( root(X0,sK3(X0,X1))
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_63,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,[],[f107]) ).
tcf(c_64,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,[],[f108]) ).
tcf(c_65,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,[],[f109]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] :
( arboreal(X0)
| ~ atomic(X1)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i] :
( occurrence_of(sK5(X2,X0,X1),X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i] :
( subactivity_occurrence(X0,sK5(X2,X0,X1))
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i] :
( subactivity_occurrence(X1,sK5(X2,X0,X1))
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f115]) ).
tcf(c_77,plain,
atomic(tptp4),
inference(cnf_transformation,[],[f121]) ).
tcf(c_79,plain,
tptp3 != tptp1,
inference(cnf_transformation,[],[f123]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i] :
( leaf_occ(X0,X1)
| occurrence_of(sK6(X0),tptp1)
| ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i] :
( leaf_occ(X0,X1)
| next_subocc(X0,sK6(X0),tptp0)
| ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i] :
( arboreal(X0)
| ~ next_subocc(X0,X1,X2) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i] :
( min_precedes(X0,X1,X2)
| ~ next_subocc(X0,X1,X2) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( min_precedes(X0,X3,X2)
| ~ min_precedes(X1,X3,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_94,plain,
atomic(tptp1),
inference(cnf_transformation,[],[f138]) ).
tcf(c_923,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( arboreal(X1)
| ~ occurrence_of(X0,tptp0)
| ( X3 != tptp0 )
| ( sK2(X0) != X2 )
| ( sK1(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_57,c_83]) ).
tcf(c_924,plain,
! [X0: $i] :
( arboreal(sK1(X0))
| ~ occurrence_of(X0,tptp0) ),
inference(unflattening,[status(thm)],[c_923]) ).
tcf(c_2536,plain,
! [X0: $i] :
( subactivity_occurrence(sK1(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(superposition,[status(thm)],[c_54,c_61]) ).
tcf(c_2567,plain,
! [X0: $i] :
( arboreal(sK1(X0))
| ~ atomic(tptp4)
| ~ occurrence_of(X0,tptp0) ),
inference(superposition,[status(thm)],[c_53,c_67]) ).
tcf(c_2573,plain,
! [X0: $i] :
( arboreal(sK1(X0))
| ~ occurrence_of(X0,tptp0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2567,c_77]) ).
tcf(c_2628,plain,
! [X0: $i] :
( min_precedes(sK1(X0),sK2(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(superposition,[status(thm)],[c_57,c_87]) ).
tcf(c_2637,plain,
arboreal(sK1(sK0)),
inference(superposition,[status(thm)],[c_49,c_2573]) ).
tcf(c_2748,plain,
! [X0: $i] :
( ( X0 = tptp0 )
| ~ occurrence_of(sK0,X0) ),
inference(superposition,[status(thm)],[c_49,c_91]) ).
tcf(c_2751,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK3(X2,X0) = X1 )
| ~ root_occ(X2,X0)
| ~ occurrence_of(X0,X1) ),
inference(superposition,[status(thm)],[c_60,c_91]) ).
tcf(c_2776,plain,
! [X0: $i,X1: $i] :
( ~ occurrence_of(X1,tptp0)
| ~ occurrence_of(X0,tptp0)
| ~ leaf_occ(sK1(X0),X1) ),
inference(superposition,[status(thm)],[c_2628,c_64]) ).
tcf(c_2797,plain,
! [X0: $i] :
( ( sK3(X0,sK0) = tptp0 )
| ~ root_occ(X0,sK0) ),
inference(superposition,[status(thm)],[c_60,c_2748]) ).
tcf(c_2805,plain,
( ( sK3(sK1(sK0),sK0) = tptp0 )
| ~ occurrence_of(sK0,tptp0) ),
inference(superposition,[status(thm)],[c_54,c_2797]) ).
tcf(c_2806,plain,
sK3(sK1(sK0),sK0) = tptp0,
inference(forward_subsumption_resolution,[status(thm)],[c_2805,c_49]) ).
tcf(c_2807,plain,
( root(sK1(sK0),tptp0)
| ~ root_occ(sK1(sK0),sK0) ),
inference(superposition,[status(thm)],[c_2806,c_62]) ).
tcf(c_2815,plain,
( root(sK1(sK0),tptp0)
| ~ occurrence_of(sK0,tptp0) ),
inference(superposition,[status(thm)],[c_54,c_2807]) ).
tcf(c_2816,plain,
root(sK1(sK0),tptp0),
inference(forward_subsumption_resolution,[status(thm)],[c_2815,c_49]) ).
tcf(c_2867,plain,
! [X0: $i] :
( root_occ(X0,sK0)
| ~ root(X0,tptp0)
| ~ subactivity_occurrence(X0,sK0) ),
inference(superposition,[status(thm)],[c_49,c_59]) ).
tcf(c_2871,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( root_occ(X0,sK5(X1,X2,X3))
| ~ root(X0,X1)
| ~ min_precedes(X2,X3,X1)
| ~ subactivity_occurrence(X0,sK5(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_71,c_59]) ).
tcf(c_2985,plain,
( root_occ(sK1(sK0),sK0)
| ~ occurrence_of(sK0,tptp0)
| ~ root(sK1(sK0),tptp0) ),
inference(superposition,[status(thm)],[c_2536,c_2867]) ).
tcf(c_2986,plain,
root_occ(sK1(sK0),sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_2985,c_49,c_2816]) ).
tcf(c_2992,plain,
subactivity_occurrence(sK1(sK0),sK0),
inference(superposition,[status(thm)],[c_2986,c_61]) ).
tcf(c_3100,plain,
! [X0: $i,X1: $i] :
( arboreal(sK6(X0))
| leaf_occ(X0,X1)
| ~ atomic(tptp1)
| ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1) ),
inference(superposition,[status(thm)],[c_81,c_67]) ).
tcf(c_3101,plain,
! [X0: $i,X1: $i] :
( arboreal(sK6(X0))
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3100,c_94]) ).
tcf(c_3130,plain,
( next_subocc(sK1(sK0),sK2(sK0),tptp0)
| ~ occurrence_of(sK0,tptp0) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_3143,plain,
! [X0: $i,X1: $i] :
( leaf_occ(X0,X1)
| min_precedes(X0,sK6(X0),tptp0)
| ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1) ),
inference(superposition,[status(thm)],[c_82,c_87]) ).
tcf(c_3323,plain,
! [X0: $i,X1: $i] :
( occurrence_of(sK6(sK1(X0)),tptp1)
| ~ arboreal(sK1(X0))
| ~ occurrence_of(X1,tptp0)
| ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK1(X0),X1) ),
inference(superposition,[status(thm)],[c_81,c_2776]) ).
tcf(c_3354,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sK3(X0,sK5(X1,X2,X3)) = X1 )
| ~ min_precedes(X2,X3,X1)
| ~ root_occ(X0,sK5(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_71,c_2751]) ).
tcf(c_4289,plain,
( min_precedes(sK1(sK0),sK2(sK0),tptp0)
| ~ next_subocc(sK1(sK0),sK2(sK0),tptp0) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_4448,plain,
! [X0: $i] :
( leaf_occ(X0,sK0)
| arboreal(sK6(X0))
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,sK0) ),
inference(superposition,[status(thm)],[c_49,c_3101]) ).
tcf(c_4471,plain,
( leaf_occ(sK1(sK0),sK0)
| arboreal(sK6(sK1(sK0)))
| ~ arboreal(sK1(sK0)) ),
inference(superposition,[status(thm)],[c_2992,c_4448]) ).
tcf(c_4472,plain,
( leaf_occ(sK1(sK0),sK0)
| arboreal(sK6(sK1(sK0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4471,c_2637]) ).
tcf(c_4489,plain,
( arboreal(sK6(sK1(sK0)))
| ~ occurrence_of(sK0,tptp0) ),
inference(superposition,[status(thm)],[c_4472,c_2776]) ).
tcf(c_4492,plain,
arboreal(sK6(sK1(sK0))),
inference(forward_subsumption_resolution,[status(thm)],[c_4489,c_49]) ).
tcf(c_6449,plain,
( occurrence_of(sK5(tptp0,sK1(sK0),sK2(sK0)),tptp0)
| ~ min_precedes(sK1(sK0),sK2(sK0),tptp0) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_7147,plain,
! [X0: $i,X1: $i,X2: $i] :
( root_occ(X0,sK5(X2,X0,X1))
| ~ root(X0,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_72,c_2871]) ).
tcf(c_7177,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK3(X0,sK5(X2,X0,X1)) = X2 )
| ~ root(X0,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_7147,c_3354]) ).
tcf(c_7286,plain,
! [X0: $i] :
( ( sK3(sK1(X0),sK5(tptp0,sK1(X0),sK2(X0))) = tptp0 )
| ~ occurrence_of(X0,tptp0)
| ~ root(sK1(X0),tptp0) ),
inference(superposition,[status(thm)],[c_2628,c_7177]) ).
tcf(c_8165,plain,
! [X0: $i,X1: $i] :
( occurrence_of(sK6(sK1(X0)),tptp1)
| ~ subactivity_occurrence(sK1(X0),X1)
| ~ occurrence_of(X0,tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(global_subsumption_just,[status(thm)],[c_3323,c_924,c_3323]) ).
tcf(c_8166,plain,
! [X0: $i,X1: $i] :
( occurrence_of(sK6(sK1(X0)),tptp1)
| ~ occurrence_of(X1,tptp0)
| ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK1(X0),X1) ),
inference(renaming,[status(thm)],[c_8165]) ).
tcf(c_8178,plain,
! [X0: $i] :
( occurrence_of(sK6(sK1(X0)),tptp1)
| ~ occurrence_of(X0,tptp0) ),
inference(superposition,[status(thm)],[c_2536,c_8166]) ).
tcf(c_8385,plain,
! [X0: $i,X1: $i] :
( ( X1 = tptp1 )
| ~ occurrence_of(X0,tptp0)
| ~ occurrence_of(sK6(sK1(X0)),X1) ),
inference(superposition,[status(thm)],[c_8178,c_91]) ).
tcf(c_9706,plain,
( ( sK3(sK1(sK0),sK5(tptp0,sK1(sK0),sK2(sK0))) = tptp0 )
| ~ occurrence_of(sK0,tptp0) ),
inference(superposition,[status(thm)],[c_2816,c_7286]) ).
tcf(c_9707,plain,
sK3(sK1(sK0),sK5(tptp0,sK1(sK0),sK2(sK0))) = tptp0,
inference(forward_subsumption_resolution,[status(thm)],[c_9706,c_49]) ).
tcf(c_9711,plain,
( occurrence_of(sK5(tptp0,sK1(sK0),sK2(sK0)),tptp0)
| ~ root_occ(sK1(sK0),sK5(tptp0,sK1(sK0),sK2(sK0))) ),
inference(superposition,[status(thm)],[c_9707,c_60]) ).
tcf(c_9723,plain,
occurrence_of(sK5(tptp0,sK1(sK0),sK2(sK0)),tptp0),
inference(global_subsumption_just,[status(thm)],[c_9711,c_49,c_3130,c_4289,c_6449]) ).
tcf(c_9734,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ root_occ(X1,sK5(tptp0,sK1(sK0),sK2(sK0)))
| ~ root_occ(X0,sK5(tptp0,sK1(sK0),sK2(sK0))) ),
inference(superposition,[status(thm)],[c_9723,c_63]) ).
tcf(c_9735,plain,
! [X0: $i] :
( root_occ(X0,sK5(tptp0,sK1(sK0),sK2(sK0)))
| ~ root(X0,tptp0)
| ~ subactivity_occurrence(X0,sK5(tptp0,sK1(sK0),sK2(sK0))) ),
inference(superposition,[status(thm)],[c_9723,c_59]) ).
tcf(c_10752,plain,
( root_occ(sK1(sK0),sK5(tptp0,sK1(sK0),sK2(sK0)))
| ~ root(sK1(sK0),tptp0)
| ~ min_precedes(sK1(sK0),sK2(sK0),tptp0) ),
inference(superposition,[status(thm)],[c_72,c_9735]) ).
tcf(c_10758,plain,
( root_occ(sK1(sK0),sK5(tptp0,sK1(sK0),sK2(sK0)))
| ~ min_precedes(sK1(sK0),sK2(sK0),tptp0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10752,c_2816]) ).
tcf(c_10769,plain,
root_occ(sK1(sK0),sK5(tptp0,sK1(sK0),sK2(sK0))),
inference(global_subsumption_just,[status(thm)],[c_10758,c_49,c_3130,c_4289,c_10758]) ).
tcf(c_11595,plain,
! [X0: $i] :
( ( sK1(sK5(tptp0,sK1(sK0),sK2(sK0))) = X0 )
| ~ occurrence_of(sK5(tptp0,sK1(sK0),sK2(sK0)),tptp0)
| ~ root_occ(X0,sK5(tptp0,sK1(sK0),sK2(sK0))) ),
inference(superposition,[status(thm)],[c_54,c_9734]) ).
tcf(c_11604,plain,
! [X0: $i] :
( ( sK1(sK5(tptp0,sK1(sK0),sK2(sK0))) = X0 )
| ~ root_occ(X0,sK5(tptp0,sK1(sK0),sK2(sK0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11595,c_9723]) ).
tcf(c_11616,plain,
sK1(sK5(tptp0,sK1(sK0),sK2(sK0))) = sK1(sK0),
inference(superposition,[status(thm)],[c_10769,c_11604]) ).
tcf(c_11654,plain,
! [X0: $i] :
( ( X0 = tptp1 )
| ~ occurrence_of(sK6(sK1(sK0)),X0)
| ~ occurrence_of(sK5(tptp0,sK1(sK0),sK2(sK0)),tptp0) ),
inference(superposition,[status(thm)],[c_11616,c_8385]) ).
tcf(c_11660,plain,
! [X0: $i] :
( ~ occurrence_of(X0,tptp0)
| ~ leaf_occ(sK1(sK0),X0)
| ~ occurrence_of(sK5(tptp0,sK1(sK0),sK2(sK0)),tptp0) ),
inference(superposition,[status(thm)],[c_11616,c_2776]) ).
tcf(c_11681,plain,
! [X0: $i] :
( ~ occurrence_of(X0,tptp0)
| ~ leaf_occ(sK1(sK0),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11660,c_9723]) ).
tcf(c_11684,plain,
! [X0: $i] :
( ( X0 = tptp1 )
| ~ occurrence_of(sK6(sK1(sK0)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11654,c_9723]) ).
tcf(c_12797,plain,
! [X0: $i] :
( next_subocc(sK1(sK0),sK6(sK1(sK0)),tptp0)
| ~ arboreal(sK1(sK0))
| ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK1(sK0),X0) ),
inference(superposition,[status(thm)],[c_82,c_11681]) ).
tcf(c_12799,plain,
! [X0: $i] :
( next_subocc(sK1(sK0),sK6(sK1(sK0)),tptp0)
| ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK1(sK0),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12797,c_2637]) ).
tcf(c_12887,plain,
( next_subocc(sK1(sK0),sK6(sK1(sK0)),tptp0)
| ~ occurrence_of(sK0,tptp0) ),
inference(superposition,[status(thm)],[c_2536,c_12799]) ).
tcf(c_12890,plain,
next_subocc(sK1(sK0),sK6(sK1(sK0)),tptp0),
inference(forward_subsumption_resolution,[status(thm)],[c_12887,c_49]) ).
tcf(c_12892,plain,
min_precedes(sK1(sK0),sK6(sK1(sK0)),tptp0),
inference(superposition,[status(thm)],[c_12890,c_87]) ).
tcf(c_12898,plain,
( ( sK3(sK1(sK0),sK5(tptp0,sK1(sK0),sK6(sK1(sK0)))) = tptp0 )
| ~ root(sK1(sK0),tptp0) ),
inference(superposition,[status(thm)],[c_12892,c_7177]) ).
tcf(c_12899,plain,
! [X0: $i] :
( min_precedes(sK1(sK0),X0,tptp0)
| ~ min_precedes(sK6(sK1(sK0)),X0,tptp0) ),
inference(superposition,[status(thm)],[c_12892,c_90]) ).
tcf(c_12901,plain,
! [X0: $i] :
( ~ occurrence_of(X0,tptp0)
| ~ root_occ(sK6(sK1(sK0)),X0) ),
inference(superposition,[status(thm)],[c_12892,c_58]) ).
tcf(c_12915,plain,
sK3(sK1(sK0),sK5(tptp0,sK1(sK0),sK6(sK1(sK0)))) = tptp0,
inference(forward_subsumption_resolution,[status(thm)],[c_12898,c_2816]) ).
tcf(c_12966,plain,
( occurrence_of(sK5(tptp0,sK1(sK0),sK6(sK1(sK0))),tptp0)
| ~ root_occ(sK1(sK0),sK5(tptp0,sK1(sK0),sK6(sK1(sK0)))) ),
inference(superposition,[status(thm)],[c_12915,c_60]) ).
tcf(c_13013,plain,
! [X0: $i] :
( leaf_occ(sK6(sK1(sK0)),X0)
| min_precedes(sK1(sK0),sK6(sK6(sK1(sK0))),tptp0)
| ~ occurrence_of(X0,tptp0)
| ~ arboreal(sK6(sK1(sK0)))
| ~ subactivity_occurrence(sK6(sK1(sK0)),X0) ),
inference(superposition,[status(thm)],[c_3143,c_12899]) ).
tcf(c_13033,plain,
! [X0: $i] :
( leaf_occ(sK6(sK1(sK0)),X0)
| min_precedes(sK1(sK0),sK6(sK6(sK1(sK0))),tptp0)
| ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK6(sK1(sK0)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13013,c_4492]) ).
tcf(c_13484,plain,
! [X0: $i,X1: $i] :
( leaf_occ(sK6(sK1(sK0)),X0)
| ~ occurrence_of(X1,tptp0)
| ~ occurrence_of(X0,tptp0)
| ~ leaf_occ(sK1(sK0),X1)
| ~ subactivity_occurrence(sK6(sK1(sK0)),X0) ),
inference(superposition,[status(thm)],[c_13033,c_64]) ).
tcf(c_13978,plain,
( occurrence_of(sK5(tptp0,sK1(sK0),sK6(sK1(sK0))),tptp0)
| ~ root(sK1(sK0),tptp0)
| ~ min_precedes(sK1(sK0),sK6(sK1(sK0)),tptp0) ),
inference(superposition,[status(thm)],[c_7147,c_12966]) ).
tcf(c_13979,plain,
occurrence_of(sK5(tptp0,sK1(sK0),sK6(sK1(sK0))),tptp0),
inference(forward_subsumption_resolution,[status(thm)],[c_13978,c_2816,c_12892]) ).
tcf(c_13994,plain,
! [X0: $i,X1: $i] :
( atomic(tptp0)
| ( X0 = X1 )
| ~ leaf_occ(X1,sK5(tptp0,sK1(sK0),sK6(sK1(sK0))))
| ~ leaf_occ(X0,sK5(tptp0,sK1(sK0),sK6(sK1(sK0)))) ),
inference(superposition,[status(thm)],[c_13979,c_65]) ).
tcf(c_14020,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ leaf_occ(X1,sK5(tptp0,sK1(sK0),sK6(sK1(sK0))))
| ~ leaf_occ(X0,sK5(tptp0,sK1(sK0),sK6(sK1(sK0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13994,c_52]) ).
tcf(c_15894,plain,
! [X0: $i] :
( leaf_occ(sK6(sK1(sK0)),X0)
| root_occ(sK6(sK1(sK0)),X0)
| ~ occurrence_of(X0,tptp0)
| ~ arboreal(sK6(sK1(sK0)))
| ~ subactivity_occurrence(sK6(sK1(sK0)),X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_22644,plain,
! [X0: $i] :
( leaf_occ(sK6(sK1(sK0)),X0)
| ~ subactivity_occurrence(sK6(sK1(sK0)),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(global_subsumption_just,[status(thm)],[c_13484,c_4492,c_12901,c_15894]) ).
tcf(c_22645,plain,
! [X0: $i] :
( leaf_occ(sK6(sK1(sK0)),X0)
| ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK6(sK1(sK0)),X0) ),
inference(renaming,[status(thm)],[c_22644]) ).
tcf(c_22654,plain,
! [X0: $i,X1: $i] :
( leaf_occ(sK6(sK1(sK0)),sK5(X0,X1,sK6(sK1(sK0))))
| ~ min_precedes(X1,sK6(sK1(sK0)),X0)
| ~ occurrence_of(sK5(X0,X1,sK6(sK1(sK0))),tptp0) ),
inference(superposition,[status(thm)],[c_73,c_22645]) ).
tcf(c_22684,plain,
! [X0: $i] :
( ( sK2(sK5(tptp0,sK1(sK0),sK6(sK1(sK0)))) = X0 )
| ~ occurrence_of(sK5(tptp0,sK1(sK0),sK6(sK1(sK0))),tptp0)
| ~ leaf_occ(X0,sK5(tptp0,sK1(sK0),sK6(sK1(sK0)))) ),
inference(superposition,[status(thm)],[c_56,c_14020]) ).
tcf(c_22687,plain,
! [X0: $i] :
( ( sK2(sK5(tptp0,sK1(sK0),sK6(sK1(sK0)))) = X0 )
| ~ leaf_occ(X0,sK5(tptp0,sK1(sK0),sK6(sK1(sK0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22684,c_13979]) ).
tcf(c_33884,plain,
( ( sK2(sK5(tptp0,sK1(sK0),sK6(sK1(sK0)))) = sK6(sK1(sK0)) )
| ~ min_precedes(sK1(sK0),sK6(sK1(sK0)),tptp0)
| ~ occurrence_of(sK5(tptp0,sK1(sK0),sK6(sK1(sK0))),tptp0) ),
inference(superposition,[status(thm)],[c_22654,c_22687]) ).
tcf(c_33888,plain,
sK2(sK5(tptp0,sK1(sK0),sK6(sK1(sK0)))) = sK6(sK1(sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_33884,c_12892,c_13979]) ).
tcf(c_33969,plain,
( occurrence_of(sK6(sK1(sK0)),tptp3)
| ~ occurrence_of(sK5(tptp0,sK1(sK0),sK6(sK1(sK0))),tptp0) ),
inference(superposition,[status(thm)],[c_33888,c_55]) ).
tcf(c_33978,plain,
occurrence_of(sK6(sK1(sK0)),tptp3),
inference(forward_subsumption_resolution,[status(thm)],[c_33969,c_13979]) ).
tcf(c_34056,plain,
tptp3 = tptp1,
inference(superposition,[status(thm)],[c_33978,c_11684]) ).
tcf(c_34057,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_34056,c_79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PRO004+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/5.42 % Computer : n003.cluster.edu
% 0.09/5.42 % Model : x86_64 x86_64
% 0.09/5.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.42 % Memory : 8046.5625MB
% 0.09/5.42 % OS : Linux 6.8.0-71-generic
% 0.09/5.42 % CPULimit : 300
% 0.09/5.42 % WCLimit : 300
% 0.09/5.42 % DateTime : Thu Sep 24 06:26:43 UTC 2026
% 0.09/5.42 % CPUTime :
% 0.09/5.42 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/5.46 Running first-order theorem proving
% 0.09/5.46 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
% 0.09/5.47
% 0.09/5.47 % ======== iProver multi-core TPTP/SMT =========
% 0.09/5.47
% 0.09/5.47 % Detected problem language: tptp
% 0.09/5.49 % Proving...
% 10.41/7.78 % SZS status Started for theBenchmark.p
% 10.41/7.78 % SZS status Theorem for theBenchmark.p
% 10.41/7.78
% 10.41/7.78 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.41/7.78
% 10.41/7.78 % ------ iProver source info
% 10.41/7.78
% 10.41/7.78 % git: date: 2026-07-19 20:42:38 +0200
% 10.41/7.78 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.41/7.78 % git: non_committed_changes: false
% 10.41/7.78
% 10.41/7.78 % ------ Parsing...
% 10.41/7.78 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 10.41/7.78
% 10.41/7.78 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 10.41/7.78
% 10.41/7.78 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 10.41/7.78
% 10.41/7.78 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 10.41/7.78 % ------ Proving...
% 10.41/7.78 % ------ Problem Properties
% 10.41/7.78
% 10.41/7.78 %
% 10.41/7.78 % clauses 45
% 10.41/7.78 % conjectures 1
% 10.41/7.78 % EPR 29
% 10.41/7.78 % Horn 36
% 10.41/7.78 % unary 12
% 10.41/7.78 % binary 15
% 10.41/7.78 % lits 111
% 10.41/7.78 % lits eq 10
% 10.41/7.78 % fd_pure 0
% 10.41/7.78 % fd_pseudo 0
% 10.41/7.78 % fd_cond 0
% 10.41/7.78 % fd_pseudo_cond 4
% 10.41/7.78 % AC symbols 0
% 10.41/7.78
% 10.41/7.78 % ------ Schedule dynamic 5 is on
% 10.41/7.78
% 10.41/7.78 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.41/7.78
% 10.41/7.78
% 10.41/7.78 % ------
% 10.41/7.78 % Current options:
% 10.41/7.78 % ------
% 10.41/7.78
% 10.41/7.78
% 10.41/7.78 %
% 10.41/7.78
% 10.41/7.78 % ------ Proving...
% 10.41/7.78 %
% 10.41/7.78
% 10.41/7.78 % SZS status Theorem for theBenchmark.p
% 10.41/7.78
% 10.41/7.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.41/7.78
% 10.41/7.78
%------------------------------------------------------------------------------