%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PRO004+4 : 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 : n007.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 69.62s 10.42s
% Output : CNFRefutation 69.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 23
% Syntax : Number of formulae : 294 ( 38 unt; 0 def)
% Number of atoms : 959 ( 86 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 1196 ( 531 ~; 557 |; 84 &)
% ( 7 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 17 ( 15 usr; 3 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 5 con; 0-3 aty)
% Number of variables : 532 ( 0 sgn 499 !; 33 ?; 265 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( ~ min_precedes(X2,X3,X0)
& arboreal(X2)
& leaf_occ(X3,X1)
& subactivity_occurrence(X2,X1)
& occurrence_of(X1,X0) )
=> X3 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
fof(f4,axiom,
! [X0,X1] :
( occurrence_of(X1,X0)
=> ( activity_occurrence(X1)
& activity(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( ( subactivity_occurrence(X3,X1)
& subactivity_occurrence(X2,X1)
& arboreal(X3)
& arboreal(X2)
& occurrence_of(X1,X0) )
=> ( X2 = X3
| min_precedes(X3,X2,X0)
| min_precedes(X2,X3,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).
fof(f7,axiom,
! [X0,X1,X2] :
( min_precedes(X1,X2,X0)
=> ? [X3] :
( subactivity_occurrence(X2,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_06) ).
fof(f9,axiom,
! [X0,X1,X2] :
( ( occurrence_of(X0,X2)
& occurrence_of(X0,X1) )
=> X1 = X2 ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',sos_10) ).
fof(f13,axiom,
! [X0] :
( activity_occurrence(X0)
=> ? [X1] :
( occurrence_of(X0,X1)
& activity(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_12) ).
fof(f14,axiom,
! [X0] :
( legal(X0)
=> arboreal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_13) ).
fof(f16,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_15) ).
fof(f17,axiom,
! [X0,X1] :
( occurrence_of(X0,X1)
=> ( arboreal(X0)
<=> atomic(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_16) ).
fof(f18,axiom,
! [X0,X1] :
( root(X0,X1)
=> legal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_17) ).
fof(f20,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_19) ).
fof(f26,axiom,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
=> ( arboreal(X1)
& arboreal(X0) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',sos_26) ).
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(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(f47,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_46) ).
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(f55,plain,
! [X0] :
( activity_occurrence(X0)
=> ? [X1] : occurrence_of(X0,X1) ),
inference(pure_predicate_removal,[],[f13]) ).
fof(f56,plain,
! [X0,X1] :
( occurrence_of(X1,X0)
=> activity_occurrence(X1) ),
inference(pure_predicate_removal,[],[f4]) ).
fof(f62,plain,
! [X0,X1,X2,X3] :
( min_precedes(X2,X3,X0)
| ~ arboreal(X2)
| ~ leaf_occ(X3,X1)
| ~ subactivity_occurrence(X2,X1)
| ~ occurrence_of(X1,X0)
| X3 = X2 ),
inference(ennf_transformation,[],[f3]) ).
fof(f63,plain,
! [X0,X1,X2,X3] :
( min_precedes(X2,X3,X0)
| ~ arboreal(X2)
| ~ leaf_occ(X3,X1)
| ~ subactivity_occurrence(X2,X1)
| ~ occurrence_of(X1,X0)
| X3 = X2 ),
inference(flattening,[],[f62]) ).
fof(f64,plain,
! [X0,X1] :
( ~ occurrence_of(X1,X0)
| activity_occurrence(X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f65,plain,
! [X0,X1,X2,X3] :
( ~ subactivity_occurrence(X3,X1)
| ~ subactivity_occurrence(X2,X1)
| ~ arboreal(X3)
| ~ arboreal(X2)
| ~ occurrence_of(X1,X0)
| X2 = X3
| min_precedes(X3,X2,X0)
| min_precedes(X2,X3,X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f66,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,[],[f65]) ).
fof(f68,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(f71,plain,
! [X0,X1,X2] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(ennf_transformation,[],[f9]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(flattening,[],[f71]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ~ leaf_occ(X1,X0)
| ~ occurrence_of(X0,X2)
| ! [X3] : ~ min_precedes(X1,X3,X2) ),
inference(ennf_transformation,[],[f10]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ~ leaf_occ(X1,X0)
| ~ occurrence_of(X0,X2)
| ! [X3] : ~ min_precedes(X1,X3,X2) ),
inference(flattening,[],[f73]) ).
fof(f75,plain,
! [X0,X1,X2] :
( ~ root_occ(X1,X0)
| ~ occurrence_of(X0,X2)
| ! [X3] : ~ min_precedes(X3,X1,X2) ),
inference(ennf_transformation,[],[f11]) ).
fof(f76,plain,
! [X0,X1,X2] :
( ~ root_occ(X1,X0)
| ~ occurrence_of(X0,X2)
| ! [X3] : ~ min_precedes(X3,X1,X2) ),
inference(flattening,[],[f75]) ).
fof(f78,plain,
! [X0] :
( ~ activity_occurrence(X0)
| ? [X1] : occurrence_of(X0,X1) ),
inference(ennf_transformation,[],[f55]) ).
fof(f79,plain,
! [X0] :
( ~ legal(X0)
| arboreal(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f81,plain,
! [X0,X1] :
( leaf(X0,X1)
<=> ( ! [X3] : ~ min_precedes(X0,X3,X1)
& ( ? [X2] : min_precedes(X2,X0,X1)
| root(X0,X1) ) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f82,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ( arboreal(X0)
<=> atomic(X1) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f83,plain,
! [X0,X1] :
( ~ root(X0,X1)
| legal(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f88,plain,
! [X0,X1,X2] :
( ~ next_subocc(X0,X1,X2)
| ( arboreal(X1)
& arboreal(X0) ) ),
inference(ennf_transformation,[],[f26]) ).
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) ) ),
inference(ennf_transformation,[],[f27]) ).
fof(f100,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(f103,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| root_occ(X0,X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f104,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| root_occ(X0,X1) ),
inference(flattening,[],[f103]) ).
fof(f105,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(f106,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,[],[f105]) ).
fof(f109,plain,
! [X0,X1,X2] :
( ~ min_precedes(X1,X2,X0)
| ( subactivity_occurrence(X2,sK2(X0,X1,X2))
& subactivity_occurrence(X1,sK2(X0,X1,X2))
& occurrence_of(sK2(X0,X1,X2),X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X3,sK2(X0,X1,X2))],[f68]) ).
fof(f111,plain,
! [X0] :
( ~ activity_occurrence(X0)
| occurrence_of(X0,sK4(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X1,sK4(X0))],[f78]) ).
fof(f113,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,[],[f81]) ).
fof(f114,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,[],[f113]) ).
fof(f115,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,[],[f114]) ).
fof(f116,plain,
! [X0,X1] :
( ( ~ leaf(X0,X1)
| ( ! [X5] : ~ min_precedes(X0,X5,X1)
& ( min_precedes(sK7(X0,X1),X0,X1)
| root(X0,X1) ) ) )
& ( min_precedes(X0,sK6(X0,X1),X1)
| ( ! [X2] : ~ min_precedes(X2,X0,X1)
& ~ root(X0,X1) )
| leaf(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X3,sK6(X0,X1)),skolemize(X4,sK7(X0,X1))],[f115]) ).
fof(f117,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ( ( ~ arboreal(X0)
| atomic(X1) )
& ( ~ atomic(X1)
| arboreal(X0) ) ) ),
inference(nnf_transformation,[],[f82]) ).
fof(f121,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(f122,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,[],[f121]) ).
fof(f123,plain,
! [X0,X1] :
( ( ~ root_occ(X0,X1)
| ( root(X0,sK9(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK9(X0,X1)) ) )
& ( ! [X2] :
( ~ root(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) )
| root_occ(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X3,sK9(X0,X1))],[f122]) ).
fof(f127,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,[],[f89]) ).
fof(f128,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,[],[f127]) ).
fof(f129,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,[],[f128]) ).
fof(f130,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(sK11(X0,X1,X2),X1,X2)
& min_precedes(X0,sK11(X0,X1,X2),X2) )
| ~ min_precedes(X0,X1,X2)
| next_subocc(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X3,sK11(X0,X1,X2))],[f129]) ).
fof(f131,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ( next_subocc(sK12(X0),sK13(X0),tptp0)
& leaf_occ(sK13(X0),X0)
& occurrence_of(sK13(X0),tptp3)
& root_occ(sK12(X0),X0)
& occurrence_of(sK12(X0),tptp4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13]),skolemize(X1,sK12(X0)),skolemize(X2,sK13(X0))],[f100]) ).
fof(f132,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ( next_subocc(X0,sK14(X0),tptp0)
& occurrence_of(sK14(X0),tptp1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X2,sK14(X0))],[f106]) ).
fof(f133,plain,
occurrence_of(sK15,tptp0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(X0,sK15)],[f51]) ).
fof(f137,plain,
! [X2,X3,X0,X1] :
( min_precedes(X2,X3,X0)
| ~ arboreal(X2)
| ~ leaf_occ(X3,X1)
| ~ subactivity_occurrence(X2,X1)
| ~ occurrence_of(X1,X0)
| X2 = X3 ),
inference(cnf_transformation,[],[f63]) ).
fof(f138,plain,
! [X0,X1] :
( ~ occurrence_of(X1,X0)
| activity_occurrence(X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f139,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,[],[f66]) ).
fof(f141,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| subactivity_occurrence(X2,sK2(X0,X1,X2)) ),
inference(cnf_transformation,[],[f109]) ).
fof(f143,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| occurrence_of(sK2(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f146,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f72]) ).
fof(f147,plain,
! [X2,X3,X0,X1] :
( ~ leaf_occ(X1,X0)
| ~ occurrence_of(X0,X2)
| ~ min_precedes(X1,X3,X2) ),
inference(cnf_transformation,[],[f74]) ).
fof(f148,plain,
! [X2,X3,X0,X1] :
( ~ root_occ(X1,X0)
| ~ occurrence_of(X0,X2)
| ~ min_precedes(X3,X1,X2) ),
inference(cnf_transformation,[],[f76]) ).
fof(f151,plain,
! [X0] :
( ~ activity_occurrence(X0)
| occurrence_of(X0,sK4(X0)) ),
inference(cnf_transformation,[],[f111]) ).
fof(f152,plain,
! [X0] :
( ~ legal(X0)
| arboreal(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f155,plain,
! [X0,X1,X5] :
( ~ leaf(X0,X1)
| ~ min_precedes(X0,X5,X1) ),
inference(cnf_transformation,[],[f116]) ).
fof(f157,plain,
! [X2,X0,X1] :
( min_precedes(X0,sK6(X0,X1),X1)
| ~ min_precedes(X2,X0,X1)
| leaf(X0,X1) ),
inference(cnf_transformation,[],[f116]) ).
fof(f158,plain,
! [X0,X1] :
( min_precedes(X0,sK6(X0,X1),X1)
| ~ root(X0,X1)
| leaf(X0,X1) ),
inference(cnf_transformation,[],[f116]) ).
fof(f160,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ~ atomic(X1)
| arboreal(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f161,plain,
! [X0,X1] :
( ~ root(X0,X1)
| legal(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f166,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| root(X0,sK9(X0,X1)) ),
inference(cnf_transformation,[],[f123]) ).
fof(f167,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f168,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| occurrence_of(X1,sK9(X0,X1)) ),
inference(cnf_transformation,[],[f123]) ).
fof(f169,plain,
! [X2,X0,X1] :
( ~ root(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2)
| root_occ(X0,X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f179,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| arboreal(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f180,plain,
! [X2,X0,X1,X4] :
( ~ next_subocc(X0,X1,X2)
| ~ min_precedes(X4,X1,X2)
| ~ min_precedes(X0,X4,X2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f181,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f189,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| next_subocc(sK12(X0),sK13(X0),tptp0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f190,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| leaf_occ(sK13(X0),X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f191,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| occurrence_of(sK13(X0),tptp3) ),
inference(cnf_transformation,[],[f131]) ).
fof(f192,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| root_occ(sK12(X0),X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f198,plain,
atomic(tptp1),
inference(cnf_transformation,[],[f39]) ).
fof(f202,plain,
tptp3 != tptp1,
inference(cnf_transformation,[],[f43]) ).
fof(f206,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| root_occ(X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f207,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| next_subocc(X0,sK14(X0),tptp0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f208,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| occurrence_of(sK14(X0),tptp1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f209,plain,
occurrence_of(sK15,tptp0),
inference(cnf_transformation,[],[f133]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( min_precedes(X2,X3,X1)
| ( X2 = X3 )
| ~ arboreal(X2)
| ~ leaf_occ(X3,X0)
| ~ subactivity_occurrence(X2,X0)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( activity_occurrence(X0)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( min_precedes(X3,X2,X1)
| min_precedes(X2,X3,X1)
| ( X2 = X3 )
| ~ arboreal(X3)
| ~ arboreal(X2)
| ~ subactivity_occurrence(X3,X0)
| ~ subactivity_occurrence(X2,X0)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] :
( occurrence_of(sK2(X2,X0,X1),X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i] :
( subactivity_occurrence(X1,sK2(X2,X0,X1))
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_62,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,[],[f147]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ root_occ(X1,X3)
| ~ occurrence_of(X3,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_66,plain,
! [X0: $i] :
( occurrence_of(X0,sK4(X0))
| ~ activity_occurrence(X0) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_67,plain,
! [X0: $i] :
( arboreal(X0)
| ~ legal(X0) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i] :
( leaf(X0,X1)
| min_precedes(X0,sK6(X0,X1),X1)
| ~ root(X0,X1) ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i] :
( leaf(X1,X2)
| min_precedes(X1,sK6(X1,X2),X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ leaf(X0,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] :
( arboreal(X0)
| ~ atomic(X1)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] :
( legal(X0)
| ~ root(X0,X1) ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i] :
( root_occ(X0,X2)
| ~ subactivity_occurrence(X0,X2)
| ~ occurrence_of(X2,X1)
| ~ root(X0,X1) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i] :
( occurrence_of(X1,sK9(X0,X1))
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i] :
( subactivity_occurrence(X0,X1)
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i] :
( root(X0,sK9(X0,X1))
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i,X2: $i] :
( arboreal(X0)
| ~ next_subocc(X0,X1,X2) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i] :
( min_precedes(X0,X1,X2)
| ~ next_subocc(X0,X1,X2) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ next_subocc(X0,X3,X2)
| ~ min_precedes(X1,X3,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_105,plain,
! [X0: $i] :
( root_occ(sK12(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f192]) ).
tcf(c_106,plain,
! [X0: $i] :
( occurrence_of(sK13(X0),tptp3)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f191]) ).
tcf(c_107,plain,
! [X0: $i] :
( leaf_occ(sK13(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_108,plain,
! [X0: $i] :
( next_subocc(sK12(X0),sK13(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f189]) ).
tcf(c_113,plain,
atomic(tptp1),
inference(cnf_transformation,[],[f198]) ).
tcf(c_117,plain,
tptp3 != tptp1,
inference(cnf_transformation,[],[f202]) ).
tcf(c_121,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,[],[f206]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i] :
( leaf_occ(X0,X1)
| occurrence_of(sK14(X0),tptp1)
| ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_123,plain,
! [X0: $i,X1: $i] :
( leaf_occ(X0,X1)
| next_subocc(X0,sK14(X0),tptp0)
| ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_124,negated_conjecture,
occurrence_of(sK15,tptp0),
inference(cnf_transformation,[],[f209]) ).
tcf(c_4086,negated_conjecture,
occurrence_of(sK15,tptp0),
inference(subtyping,[status(esa)],[c_124]) ).
tcf(c_4087,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1] :
( leaf_occ(X0_iProver_sK5_1,X1_iProver_sK5_1)
| next_subocc(X0_iProver_sK5_1,sK14(X0_iProver_sK5_1),tptp0)
| ~ arboreal(X0_iProver_sK5_1)
| ~ occurrence_of(X1_iProver_sK5_1,tptp0)
| ~ subactivity_occurrence(X0_iProver_sK5_1,X1_iProver_sK5_1) ),
inference(subtyping,[status(esa)],[c_123]) ).
tcf(c_4088,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1] :
( leaf_occ(X0_iProver_sK5_1,X1_iProver_sK5_1)
| occurrence_of(sK14(X0_iProver_sK5_1),tptp1)
| ~ arboreal(X0_iProver_sK5_1)
| ~ occurrence_of(X1_iProver_sK5_1,tptp0)
| ~ subactivity_occurrence(X0_iProver_sK5_1,X1_iProver_sK5_1) ),
inference(subtyping,[status(esa)],[c_122]) ).
tcf(c_4089,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1] :
( leaf_occ(X0_iProver_sK5_1,X1_iProver_sK5_1)
| root_occ(X0_iProver_sK5_1,X1_iProver_sK5_1)
| ~ arboreal(X0_iProver_sK5_1)
| ~ occurrence_of(X1_iProver_sK5_1,tptp0)
| ~ subactivity_occurrence(X0_iProver_sK5_1,X1_iProver_sK5_1) ),
inference(subtyping,[status(esa)],[c_121]) ).
tcf(c_4092,plain,
tptp3 != tptp1,
inference(subtyping,[status(esa)],[c_117]) ).
tcf(c_4101,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] :
( next_subocc(sK12(X0_iProver_sK5_1),sK13(X0_iProver_sK5_1),tptp0)
| ~ occurrence_of(X0_iProver_sK5_1,tptp0) ),
inference(subtyping,[status(esa)],[c_108]) ).
tcf(c_4102,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] :
( leaf_occ(sK13(X0_iProver_sK5_1),X0_iProver_sK5_1)
| ~ occurrence_of(X0_iProver_sK5_1,tptp0) ),
inference(subtyping,[status(esa)],[c_107]) ).
tcf(c_4103,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] :
( occurrence_of(sK13(X0_iProver_sK5_1),tptp3)
| ~ occurrence_of(X0_iProver_sK5_1,tptp0) ),
inference(subtyping,[status(esa)],[c_106]) ).
tcf(c_4104,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] :
( root_occ(sK12(X0_iProver_sK5_1),X0_iProver_sK5_1)
| ~ occurrence_of(X0_iProver_sK5_1,tptp0) ),
inference(subtyping,[status(esa)],[c_105]) ).
tcf(c_4111,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_tptp3_0: iProver_tptp3_0,X1_iProver_sK5_1: iProver_sK5_1,X2_iProver_sK5_1: iProver_sK5_1] :
( ~ next_subocc(X0_iProver_sK5_1,X2_iProver_sK5_1,X0_iProver_tptp3_0)
| ~ min_precedes(X1_iProver_sK5_1,X2_iProver_sK5_1,X0_iProver_tptp3_0)
| ~ min_precedes(X0_iProver_sK5_1,X1_iProver_sK5_1,X0_iProver_tptp3_0) ),
inference(subtyping,[status(esa)],[c_98]) ).
tcf(c_4112,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_tptp3_0: iProver_tptp3_0,X1_iProver_sK5_1: iProver_sK5_1] :
( min_precedes(X0_iProver_sK5_1,X1_iProver_sK5_1,X0_iProver_tptp3_0)
| ~ next_subocc(X0_iProver_sK5_1,X1_iProver_sK5_1,X0_iProver_tptp3_0) ),
inference(subtyping,[status(esa)],[c_97]) ).
tcf(c_4116,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_tptp3_0: iProver_tptp3_0,X1_iProver_sK5_1: iProver_sK5_1] :
( arboreal(X0_iProver_sK5_1)
| ~ next_subocc(X0_iProver_sK5_1,X1_iProver_sK5_1,X0_iProver_tptp3_0) ),
inference(subtyping,[status(esa)],[c_93]) ).
tcf(c_4125,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1] :
( root(X0_iProver_sK5_1,sK9(X0_iProver_sK5_1,X1_iProver_sK5_1))
| ~ root_occ(X0_iProver_sK5_1,X1_iProver_sK5_1) ),
inference(subtyping,[status(esa)],[c_84]) ).
tcf(c_4126,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1] :
( subactivity_occurrence(X0_iProver_sK5_1,X1_iProver_sK5_1)
| ~ root_occ(X0_iProver_sK5_1,X1_iProver_sK5_1) ),
inference(subtyping,[status(esa)],[c_83]) ).
tcf(c_4127,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1] :
( occurrence_of(X1_iProver_sK5_1,sK9(X0_iProver_sK5_1,X1_iProver_sK5_1))
| ~ root_occ(X0_iProver_sK5_1,X1_iProver_sK5_1) ),
inference(subtyping,[status(esa)],[c_82]) ).
tcf(c_4128,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_tptp3_0: iProver_tptp3_0,X1_iProver_sK5_1: iProver_sK5_1] :
( root_occ(X0_iProver_sK5_1,X1_iProver_sK5_1)
| ~ subactivity_occurrence(X0_iProver_sK5_1,X1_iProver_sK5_1)
| ~ occurrence_of(X1_iProver_sK5_1,X0_iProver_tptp3_0)
| ~ root(X0_iProver_sK5_1,X0_iProver_tptp3_0) ),
inference(subtyping,[status(esa)],[c_81]) ).
tcf(c_4133,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_tptp3_0: iProver_tptp3_0] :
( legal(X0_iProver_sK5_1)
| ~ root(X0_iProver_sK5_1,X0_iProver_tptp3_0) ),
inference(subtyping,[status(esa)],[c_76]) ).
tcf(c_4135,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_tptp3_0: iProver_tptp3_0] :
( arboreal(X0_iProver_sK5_1)
| ~ atomic(X0_iProver_tptp3_0)
| ~ occurrence_of(X0_iProver_sK5_1,X0_iProver_tptp3_0) ),
inference(subtyping,[status(esa)],[c_74]) ).
tcf(c_4136,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_tptp3_0: iProver_tptp3_0,X1_iProver_sK5_1: iProver_sK5_1] :
( ~ leaf(X0_iProver_sK5_1,X0_iProver_tptp3_0)
| ~ min_precedes(X0_iProver_sK5_1,X1_iProver_sK5_1,X0_iProver_tptp3_0) ),
inference(subtyping,[status(esa)],[c_73]) ).
tcf(c_4138,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_tptp3_0: iProver_tptp3_0,X1_iProver_sK5_1: iProver_sK5_1] :
( leaf(X1_iProver_sK5_1,X0_iProver_tptp3_0)
| min_precedes(X1_iProver_sK5_1,sK6(X1_iProver_sK5_1,X0_iProver_tptp3_0),X0_iProver_tptp3_0)
| ~ min_precedes(X0_iProver_sK5_1,X1_iProver_sK5_1,X0_iProver_tptp3_0) ),
inference(subtyping,[status(esa)],[c_71]) ).
tcf(c_4139,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_tptp3_0: iProver_tptp3_0] :
( leaf(X0_iProver_sK5_1,X0_iProver_tptp3_0)
| min_precedes(X0_iProver_sK5_1,sK6(X0_iProver_sK5_1,X0_iProver_tptp3_0),X0_iProver_tptp3_0)
| ~ root(X0_iProver_sK5_1,X0_iProver_tptp3_0) ),
inference(subtyping,[status(esa)],[c_70]) ).
tcf(c_4140,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] :
( arboreal(X0_iProver_sK5_1)
| ~ legal(X0_iProver_sK5_1) ),
inference(subtyping,[status(esa)],[c_67]) ).
tcf(c_4141,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] :
( occurrence_of(X0_iProver_sK5_1,sK4(X0_iProver_sK5_1))
| ~ activity_occurrence(X0_iProver_sK5_1) ),
inference(subtyping,[status(esa)],[c_66]) ).
tcf(c_4144,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_tptp3_0: iProver_tptp3_0,X1_iProver_sK5_1: iProver_sK5_1,X2_iProver_sK5_1: iProver_sK5_1] :
( ~ root_occ(X1_iProver_sK5_1,X2_iProver_sK5_1)
| ~ occurrence_of(X2_iProver_sK5_1,X0_iProver_tptp3_0)
| ~ min_precedes(X0_iProver_sK5_1,X1_iProver_sK5_1,X0_iProver_tptp3_0) ),
inference(subtyping,[status(esa)],[c_63]) ).
tcf(c_4145,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_tptp3_0: iProver_tptp3_0,X1_iProver_sK5_1: iProver_sK5_1,X2_iProver_sK5_1: iProver_sK5_1] :
( ~ leaf_occ(X0_iProver_sK5_1,X2_iProver_sK5_1)
| ~ occurrence_of(X2_iProver_sK5_1,X0_iProver_tptp3_0)
| ~ min_precedes(X0_iProver_sK5_1,X1_iProver_sK5_1,X0_iProver_tptp3_0) ),
inference(subtyping,[status(esa)],[c_62]) ).
tcf(c_4146,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_tptp3_0: iProver_tptp3_0,X1_iProver_tptp3_0: iProver_tptp3_0] :
( ( X0_iProver_tptp3_0 = X1_iProver_tptp3_0 )
| ~ occurrence_of(X0_iProver_sK5_1,X1_iProver_tptp3_0)
| ~ occurrence_of(X0_iProver_sK5_1,X0_iProver_tptp3_0) ),
inference(subtyping,[status(esa)],[c_61]) ).
tcf(c_4149,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_tptp3_0: iProver_tptp3_0,X1_iProver_sK5_1: iProver_sK5_1] :
( subactivity_occurrence(X1_iProver_sK5_1,sK2(X0_iProver_tptp3_0,X0_iProver_sK5_1,X1_iProver_sK5_1))
| ~ min_precedes(X0_iProver_sK5_1,X1_iProver_sK5_1,X0_iProver_tptp3_0) ),
inference(subtyping,[status(esa)],[c_58]) ).
tcf(c_4151,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_tptp3_0: iProver_tptp3_0,X1_iProver_sK5_1: iProver_sK5_1] :
( occurrence_of(sK2(X0_iProver_tptp3_0,X0_iProver_sK5_1,X1_iProver_sK5_1),X0_iProver_tptp3_0)
| ~ min_precedes(X0_iProver_sK5_1,X1_iProver_sK5_1,X0_iProver_tptp3_0) ),
inference(subtyping,[status(esa)],[c_56]) ).
tcf(c_4152,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_tptp3_0: iProver_tptp3_0,X1_iProver_sK5_1: iProver_sK5_1,X2_iProver_sK5_1: iProver_sK5_1] :
( min_precedes(X2_iProver_sK5_1,X1_iProver_sK5_1,X0_iProver_tptp3_0)
| min_precedes(X1_iProver_sK5_1,X2_iProver_sK5_1,X0_iProver_tptp3_0)
| ( X1_iProver_sK5_1 = X2_iProver_sK5_1 )
| ~ arboreal(X2_iProver_sK5_1)
| ~ arboreal(X1_iProver_sK5_1)
| ~ subactivity_occurrence(X2_iProver_sK5_1,X0_iProver_sK5_1)
| ~ subactivity_occurrence(X1_iProver_sK5_1,X0_iProver_sK5_1)
| ~ occurrence_of(X0_iProver_sK5_1,X0_iProver_tptp3_0) ),
inference(subtyping,[status(esa)],[c_54]) ).
tcf(c_4153,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_tptp3_0: iProver_tptp3_0] :
( activity_occurrence(X0_iProver_sK5_1)
| ~ occurrence_of(X0_iProver_sK5_1,X0_iProver_tptp3_0) ),
inference(subtyping,[status(esa)],[c_53]) ).
tcf(c_4154,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_tptp3_0: iProver_tptp3_0,X1_iProver_sK5_1: iProver_sK5_1,X2_iProver_sK5_1: iProver_sK5_1] :
( min_precedes(X1_iProver_sK5_1,X2_iProver_sK5_1,X0_iProver_tptp3_0)
| ( X1_iProver_sK5_1 = X2_iProver_sK5_1 )
| ~ arboreal(X1_iProver_sK5_1)
| ~ leaf_occ(X2_iProver_sK5_1,X0_iProver_sK5_1)
| ~ subactivity_occurrence(X1_iProver_sK5_1,X0_iProver_sK5_1)
| ~ occurrence_of(X0_iProver_sK5_1,X0_iProver_tptp3_0) ),
inference(subtyping,[status(esa)],[c_52]) ).
tcf(c_4160,plain,
! [X0_iProver_tptp3_0: iProver_tptp3_0] : X0_iProver_tptp3_0 = X0_iProver_tptp3_0,
theory(equality) ).
tcf(c_4164,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_tptp3_0: iProver_tptp3_0,X1_iProver_sK5_1: iProver_sK5_1,X1_iProver_tptp3_0: iProver_tptp3_0] :
( occurrence_of(X0_iProver_sK5_1,X0_iProver_tptp3_0)
| ~ occurrence_of(X1_iProver_sK5_1,X1_iProver_tptp3_0)
| ( X0_iProver_tptp3_0 != X1_iProver_tptp3_0 )
| ( X0_iProver_sK5_1 != X1_iProver_sK5_1 ) ),
theory(equality) ).
tcf(c_4180,plain,
( next_subocc(sK12(sK15),sK13(sK15),tptp0)
| ~ occurrence_of(sK15,tptp0) ),
inference(instantiation,[status(thm)],[c_4101]) ).
tcf(c_4183,plain,
( root_occ(sK12(sK15),sK15)
| ~ occurrence_of(sK15,tptp0) ),
inference(instantiation,[status(thm)],[c_4104]) ).
tcf(c_5166,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] :
( ( tptp3 = tptp1 )
| ~ occurrence_of(X0_iProver_sK5_1,tptp1)
| ~ occurrence_of(X0_iProver_sK5_1,tptp3) ),
inference(instantiation,[status(thm)],[c_4146]) ).
tcf(c_5174,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] :
( arboreal(X0_iProver_sK5_1)
| ~ atomic(tptp1)
| ~ occurrence_of(X0_iProver_sK5_1,tptp1) ),
inference(instantiation,[status(thm)],[c_4135]) ).
tcf(c_5198,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] :
( arboreal(sK12(X0_iProver_sK5_1))
| ~ next_subocc(sK12(X0_iProver_sK5_1),sK13(X0_iProver_sK5_1),tptp0) ),
inference(instantiation,[status(thm)],[c_4116]) ).
tcf(c_5199,plain,
( arboreal(sK12(sK15))
| ~ next_subocc(sK12(sK15),sK13(sK15),tptp0) ),
inference(instantiation,[status(thm)],[c_5198]) ).
tcf(c_5200,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] :
( subactivity_occurrence(sK12(X0_iProver_sK5_1),X0_iProver_sK5_1)
| ~ root_occ(sK12(X0_iProver_sK5_1),X0_iProver_sK5_1) ),
inference(instantiation,[status(thm)],[c_4126]) ).
tcf(c_5201,plain,
( subactivity_occurrence(sK12(sK15),sK15)
| ~ root_occ(sK12(sK15),sK15) ),
inference(instantiation,[status(thm)],[c_5200]) ).
tcf(c_5208,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] :
( min_precedes(sK12(X0_iProver_sK5_1),sK13(X0_iProver_sK5_1),tptp0)
| ~ next_subocc(sK12(X0_iProver_sK5_1),sK13(X0_iProver_sK5_1),tptp0) ),
inference(instantiation,[status(thm)],[c_4112]) ).
tcf(c_5209,plain,
( min_precedes(sK12(sK15),sK13(sK15),tptp0)
| ~ next_subocc(sK12(sK15),sK13(sK15),tptp0) ),
inference(instantiation,[status(thm)],[c_5208]) ).
tcf(c_5327,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1] :
( legal(X0_iProver_sK5_1)
| ~ root_occ(X0_iProver_sK5_1,X1_iProver_sK5_1) ),
inference(superposition,[status(thm)],[c_4125,c_4133]) ).
tcf(c_5339,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1] :
( leaf_occ(sK12(X0_iProver_sK5_1),X1_iProver_sK5_1)
| next_subocc(sK12(X0_iProver_sK5_1),sK14(sK12(X0_iProver_sK5_1)),tptp0)
| ~ arboreal(sK12(X0_iProver_sK5_1))
| ~ occurrence_of(X1_iProver_sK5_1,tptp0)
| ~ subactivity_occurrence(sK12(X0_iProver_sK5_1),X1_iProver_sK5_1) ),
inference(instantiation,[status(thm)],[c_4087]) ).
tcf(c_5340,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1] :
( leaf_occ(sK12(X0_iProver_sK5_1),X1_iProver_sK5_1)
| occurrence_of(sK14(sK12(X0_iProver_sK5_1)),tptp1)
| ~ arboreal(sK12(X0_iProver_sK5_1))
| ~ occurrence_of(X1_iProver_sK5_1,tptp0)
| ~ subactivity_occurrence(sK12(X0_iProver_sK5_1),X1_iProver_sK5_1) ),
inference(instantiation,[status(thm)],[c_4088]) ).
tcf(c_5343,plain,
( leaf_occ(sK12(sK15),sK15)
| occurrence_of(sK14(sK12(sK15)),tptp1)
| ~ arboreal(sK12(sK15))
| ~ occurrence_of(sK15,tptp0)
| ~ subactivity_occurrence(sK12(sK15),sK15) ),
inference(instantiation,[status(thm)],[c_5340]) ).
tcf(c_5344,plain,
( leaf_occ(sK12(sK15),sK15)
| next_subocc(sK12(sK15),sK14(sK12(sK15)),tptp0)
| ~ arboreal(sK12(sK15))
| ~ occurrence_of(sK15,tptp0)
| ~ subactivity_occurrence(sK12(sK15),sK15) ),
inference(instantiation,[status(thm)],[c_5339]) ).
tcf(c_5367,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1] :
( ~ occurrence_of(X1_iProver_sK5_1,tptp0)
| ~ leaf_occ(sK12(X0_iProver_sK5_1),X1_iProver_sK5_1)
| ~ min_precedes(sK12(X0_iProver_sK5_1),sK13(X0_iProver_sK5_1),tptp0) ),
inference(instantiation,[status(thm)],[c_4145]) ).
tcf(c_5370,plain,
( ~ occurrence_of(sK15,tptp0)
| ~ leaf_occ(sK12(sK15),sK15)
| ~ min_precedes(sK12(sK15),sK13(sK15),tptp0) ),
inference(instantiation,[status(thm)],[c_5367]) ).
tcf(c_5442,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] :
( min_precedes(sK12(X0_iProver_sK5_1),sK13(X0_iProver_sK5_1),tptp0)
| ~ occurrence_of(X0_iProver_sK5_1,tptp0) ),
inference(superposition,[status(thm)],[c_4101,c_4112]) ).
tcf(c_5473,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] :
( ~ occurrence_of(X0_iProver_sK5_1,tptp0)
| ~ leaf(sK12(X0_iProver_sK5_1),tptp0) ),
inference(superposition,[status(thm)],[c_5442,c_4136]) ).
tcf(c_5478,plain,
( ~ occurrence_of(sK15,tptp0)
| ~ leaf(sK12(sK15),tptp0) ),
inference(instantiation,[status(thm)],[c_5473]) ).
tcf(c_5804,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_tptp3_0: iProver_tptp3_0] :
( ( sK4(X0_iProver_sK5_1) = X0_iProver_tptp3_0 )
| ~ activity_occurrence(X0_iProver_sK5_1)
| ~ occurrence_of(X0_iProver_sK5_1,X0_iProver_tptp3_0) ),
inference(superposition,[status(thm)],[c_4141,c_4146]) ).
tcf(c_6123,plain,
! [X0_iProver_tptp3_0: iProver_tptp3_0] :
( ( X0_iProver_tptp3_0 = tptp0 )
| ~ occurrence_of(sK15,X0_iProver_tptp3_0) ),
inference(superposition,[status(thm)],[c_4086,c_4146]) ).
tcf(c_6195,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] :
( ( sK9(X0_iProver_sK5_1,sK15) = tptp0 )
| ~ root_occ(X0_iProver_sK5_1,sK15) ),
inference(superposition,[status(thm)],[c_4127,c_6123]) ).
tcf(c_6250,plain,
( ( sK9(sK12(sK15),sK15) = tptp0 )
| ~ occurrence_of(sK15,tptp0) ),
inference(superposition,[status(thm)],[c_4104,c_6195]) ).
tcf(c_6251,plain,
sK9(sK12(sK15),sK15) = tptp0,
inference(forward_subsumption_resolution,[status(thm)],[c_6250,c_4086]) ).
tcf(c_6255,plain,
( root(sK12(sK15),tptp0)
| ~ root_occ(sK12(sK15),sK15) ),
inference(superposition,[status(thm)],[c_6251,c_4125]) ).
tcf(c_6599,plain,
tptp3 = tptp3,
inference(instantiation,[status(thm)],[c_4160]) ).
tcf(c_6665,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] :
( arboreal(sK14(sK12(X0_iProver_sK5_1)))
| ~ atomic(tptp1)
| ~ occurrence_of(sK14(sK12(X0_iProver_sK5_1)),tptp1) ),
inference(instantiation,[status(thm)],[c_5174]) ).
tcf(c_6667,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] :
( ( tptp3 = tptp1 )
| ~ occurrence_of(sK14(sK12(X0_iProver_sK5_1)),tptp1)
| ~ occurrence_of(sK14(sK12(X0_iProver_sK5_1)),tptp3) ),
inference(instantiation,[status(thm)],[c_5166]) ).
tcf(c_6670,plain,
( ( tptp3 = tptp1 )
| ~ occurrence_of(sK14(sK12(sK15)),tptp1)
| ~ occurrence_of(sK14(sK12(sK15)),tptp3) ),
inference(instantiation,[status(thm)],[c_6667]) ).
tcf(c_6672,plain,
( arboreal(sK14(sK12(sK15)))
| ~ atomic(tptp1)
| ~ occurrence_of(sK14(sK12(sK15)),tptp1) ),
inference(instantiation,[status(thm)],[c_6665]) ).
tcf(c_6796,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] :
( min_precedes(sK12(X0_iProver_sK5_1),sK14(sK12(X0_iProver_sK5_1)),tptp0)
| ~ next_subocc(sK12(X0_iProver_sK5_1),sK14(sK12(X0_iProver_sK5_1)),tptp0) ),
inference(instantiation,[status(thm)],[c_4112]) ).
tcf(c_6800,plain,
( min_precedes(sK12(sK15),sK14(sK12(sK15)),tptp0)
| ~ next_subocc(sK12(sK15),sK14(sK12(sK15)),tptp0) ),
inference(instantiation,[status(thm)],[c_6796]) ).
tcf(c_8715,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1] :
( min_precedes(X1_iProver_sK5_1,X0_iProver_sK5_1,tptp0)
| min_precedes(X0_iProver_sK5_1,X1_iProver_sK5_1,tptp0)
| ( X0_iProver_sK5_1 = X1_iProver_sK5_1 )
| ~ arboreal(X1_iProver_sK5_1)
| ~ arboreal(X0_iProver_sK5_1)
| ~ subactivity_occurrence(X1_iProver_sK5_1,sK15)
| ~ subactivity_occurrence(X0_iProver_sK5_1,sK15) ),
inference(superposition,[status(thm)],[c_4086,c_4152]) ).
tcf(c_8761,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1] :
( leaf_occ(sK14(sK12(X0_iProver_sK5_1)),X1_iProver_sK5_1)
| root_occ(sK14(sK12(X0_iProver_sK5_1)),X1_iProver_sK5_1)
| ~ occurrence_of(X1_iProver_sK5_1,tptp0)
| ~ arboreal(sK14(sK12(X0_iProver_sK5_1)))
| ~ subactivity_occurrence(sK14(sK12(X0_iProver_sK5_1)),X1_iProver_sK5_1) ),
inference(instantiation,[status(thm)],[c_4089]) ).
tcf(c_9201,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1,X2_iProver_sK5_1: iProver_sK5_1] :
( min_precedes(X0_iProver_sK5_1,X2_iProver_sK5_1,tptp0)
| ( X0_iProver_sK5_1 = X2_iProver_sK5_1 )
| ~ arboreal(X2_iProver_sK5_1)
| ~ arboreal(X0_iProver_sK5_1)
| ~ subactivity_occurrence(X2_iProver_sK5_1,sK15)
| ~ subactivity_occurrence(X0_iProver_sK5_1,sK15)
| ~ occurrence_of(X1_iProver_sK5_1,tptp0)
| ~ root_occ(X0_iProver_sK5_1,X1_iProver_sK5_1) ),
inference(superposition,[status(thm)],[c_8715,c_4144]) ).
tcf(c_9230,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] :
( subactivity_occurrence(sK14(sK12(X0_iProver_sK5_1)),sK2(tptp0,sK12(X0_iProver_sK5_1),sK14(sK12(X0_iProver_sK5_1))))
| ~ min_precedes(sK12(X0_iProver_sK5_1),sK14(sK12(X0_iProver_sK5_1)),tptp0) ),
inference(instantiation,[status(thm)],[c_4149]) ).
tcf(c_9236,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] :
( occurrence_of(sK2(tptp0,sK12(X0_iProver_sK5_1),sK14(sK12(X0_iProver_sK5_1))),tptp0)
| ~ min_precedes(sK12(X0_iProver_sK5_1),sK14(sK12(X0_iProver_sK5_1)),tptp0) ),
inference(instantiation,[status(thm)],[c_4151]) ).
tcf(c_9240,plain,
( occurrence_of(sK2(tptp0,sK12(sK15),sK14(sK12(sK15))),tptp0)
| ~ min_precedes(sK12(sK15),sK14(sK12(sK15)),tptp0) ),
inference(instantiation,[status(thm)],[c_9236]) ).
tcf(c_9245,plain,
( subactivity_occurrence(sK14(sK12(sK15)),sK2(tptp0,sK12(sK15),sK14(sK12(sK15))))
| ~ min_precedes(sK12(sK15),sK14(sK12(sK15)),tptp0) ),
inference(instantiation,[status(thm)],[c_9230]) ).
tcf(c_11653,plain,
! [X0_iProver_tptp3_0: iProver_tptp3_0] :
( ( X0_iProver_tptp3_0 = tptp0 )
| ~ occurrence_of(sK15,X0_iProver_tptp3_0) ),
inference(superposition,[status(thm)],[c_4086,c_4146]) ).
tcf(c_11704,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] :
( ( sK9(X0_iProver_sK5_1,sK15) = tptp0 )
| ~ root_occ(X0_iProver_sK5_1,sK15) ),
inference(superposition,[status(thm)],[c_4127,c_11653]) ).
tcf(c_11713,plain,
( ( sK9(sK12(sK15),sK15) = tptp0 )
| ~ occurrence_of(sK15,tptp0) ),
inference(superposition,[status(thm)],[c_4104,c_11704]) ).
tcf(c_11714,plain,
sK9(sK12(sK15),sK15) = tptp0,
inference(forward_subsumption_resolution,[status(thm)],[c_11713,c_4086]) ).
tcf(c_11716,plain,
( root(sK12(sK15),tptp0)
| ~ root_occ(sK12(sK15),sK15) ),
inference(superposition,[status(thm)],[c_11714,c_4125]) ).
tcf(c_11717,plain,
root(sK12(sK15),tptp0),
inference(global_subsumption_just,[status(thm)],[c_11716,c_124,c_4183,c_6255]) ).
tcf(c_11734,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_tptp3_0: iProver_tptp3_0,X1_iProver_sK5_1: iProver_sK5_1] :
( leaf(X0_iProver_sK5_1,X0_iProver_tptp3_0)
| ~ leaf_occ(X0_iProver_sK5_1,X1_iProver_sK5_1)
| ~ occurrence_of(X1_iProver_sK5_1,X0_iProver_tptp3_0)
| ~ root(X0_iProver_sK5_1,X0_iProver_tptp3_0) ),
inference(superposition,[status(thm)],[c_4139,c_4145]) ).
tcf(c_16315,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] :
( leaf_occ(sK14(sK12(X0_iProver_sK5_1)),sK2(tptp0,sK12(X0_iProver_sK5_1),sK14(sK12(X0_iProver_sK5_1))))
| root_occ(sK14(sK12(X0_iProver_sK5_1)),sK2(tptp0,sK12(X0_iProver_sK5_1),sK14(sK12(X0_iProver_sK5_1))))
| ~ arboreal(sK14(sK12(X0_iProver_sK5_1)))
| ~ occurrence_of(sK2(tptp0,sK12(X0_iProver_sK5_1),sK14(sK12(X0_iProver_sK5_1))),tptp0)
| ~ subactivity_occurrence(sK14(sK12(X0_iProver_sK5_1)),sK2(tptp0,sK12(X0_iProver_sK5_1),sK14(sK12(X0_iProver_sK5_1)))) ),
inference(instantiation,[status(thm)],[c_8761]) ).
tcf(c_16316,plain,
( leaf_occ(sK14(sK12(sK15)),sK2(tptp0,sK12(sK15),sK14(sK12(sK15))))
| root_occ(sK14(sK12(sK15)),sK2(tptp0,sK12(sK15),sK14(sK12(sK15))))
| ~ arboreal(sK14(sK12(sK15)))
| ~ occurrence_of(sK2(tptp0,sK12(sK15),sK14(sK12(sK15))),tptp0)
| ~ subactivity_occurrence(sK14(sK12(sK15)),sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))) ),
inference(instantiation,[status(thm)],[c_16315]) ).
tcf(c_17353,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] :
( leaf(sK12(sK15),tptp0)
| ~ occurrence_of(X0_iProver_sK5_1,tptp0)
| ~ leaf_occ(sK12(sK15),X0_iProver_sK5_1) ),
inference(superposition,[status(thm)],[c_11717,c_11734]) ).
tcf(c_19128,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] :
( arboreal(sK12(X0_iProver_sK5_1))
| ~ occurrence_of(X0_iProver_sK5_1,tptp0) ),
inference(superposition,[status(thm)],[c_4101,c_4116]) ).
tcf(c_19138,plain,
arboreal(sK12(sK15)),
inference(superposition,[status(thm)],[c_4086,c_19128]) ).
tcf(c_19155,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] :
( subactivity_occurrence(sK12(X0_iProver_sK5_1),X0_iProver_sK5_1)
| ~ occurrence_of(X0_iProver_sK5_1,tptp0) ),
inference(superposition,[status(thm)],[c_4104,c_4126]) ).
tcf(c_19390,plain,
! [X0_iProver_tptp3_0: iProver_tptp3_0] :
( ( X0_iProver_tptp3_0 = tptp0 )
| ~ occurrence_of(sK15,X0_iProver_tptp3_0) ),
inference(superposition,[status(thm)],[c_4086,c_4146]) ).
tcf(c_19438,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] :
( ( sK9(X0_iProver_sK5_1,sK15) = tptp0 )
| ~ root_occ(X0_iProver_sK5_1,sK15) ),
inference(superposition,[status(thm)],[c_4127,c_19390]) ).
tcf(c_19447,plain,
( ( sK9(sK12(sK15),sK15) = tptp0 )
| ~ occurrence_of(sK15,tptp0) ),
inference(superposition,[status(thm)],[c_4104,c_19438]) ).
tcf(c_19448,plain,
sK9(sK12(sK15),sK15) = tptp0,
inference(forward_subsumption_resolution,[status(thm)],[c_19447,c_4086]) ).
tcf(c_19450,plain,
( root(sK12(sK15),tptp0)
| ~ root_occ(sK12(sK15),sK15) ),
inference(superposition,[status(thm)],[c_19448,c_4125]) ).
tcf(c_19451,plain,
root(sK12(sK15),tptp0),
inference(global_subsumption_just,[status(thm)],[c_19450,c_124,c_4183,c_6255]) ).
tcf(c_19489,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] :
( root_occ(sK12(sK15),X0_iProver_sK5_1)
| ~ occurrence_of(X0_iProver_sK5_1,tptp0)
| ~ subactivity_occurrence(sK12(sK15),X0_iProver_sK5_1) ),
inference(superposition,[status(thm)],[c_19451,c_4128]) ).
tcf(c_19506,plain,
( root_occ(sK12(sK15),sK15)
| ~ occurrence_of(sK15,tptp0) ),
inference(superposition,[status(thm)],[c_19155,c_19489]) ).
tcf(c_19507,plain,
root_occ(sK12(sK15),sK15),
inference(forward_subsumption_resolution,[status(thm)],[c_19506,c_4086]) ).
tcf(c_19512,plain,
subactivity_occurrence(sK12(sK15),sK15),
inference(superposition,[status(thm)],[c_19507,c_4126]) ).
tcf(c_19858,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1] :
( min_precedes(X1_iProver_sK5_1,X0_iProver_sK5_1,tptp0)
| min_precedes(X0_iProver_sK5_1,X1_iProver_sK5_1,tptp0)
| ( X0_iProver_sK5_1 = X1_iProver_sK5_1 )
| ~ arboreal(X1_iProver_sK5_1)
| ~ arboreal(X0_iProver_sK5_1)
| ~ subactivity_occurrence(X1_iProver_sK5_1,sK15)
| ~ subactivity_occurrence(X0_iProver_sK5_1,sK15) ),
inference(superposition,[status(thm)],[c_4086,c_4152]) ).
tcf(c_19960,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1,X2_iProver_sK5_1: iProver_sK5_1] :
( min_precedes(X0_iProver_sK5_1,X2_iProver_sK5_1,tptp0)
| ( X0_iProver_sK5_1 = X2_iProver_sK5_1 )
| ~ arboreal(X2_iProver_sK5_1)
| ~ arboreal(X0_iProver_sK5_1)
| ~ subactivity_occurrence(X2_iProver_sK5_1,sK15)
| ~ subactivity_occurrence(X0_iProver_sK5_1,sK15)
| ~ occurrence_of(X1_iProver_sK5_1,tptp0)
| ~ root_occ(X0_iProver_sK5_1,X1_iProver_sK5_1) ),
inference(superposition,[status(thm)],[c_19858,c_4144]) ).
tcf(c_21534,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1,X2_iProver_sK5_1: iProver_sK5_1] :
( min_precedes(X0_iProver_sK5_1,X2_iProver_sK5_1,tptp0)
| ( X0_iProver_sK5_1 = X2_iProver_sK5_1 )
| ~ arboreal(X2_iProver_sK5_1)
| ~ root_occ(X0_iProver_sK5_1,X1_iProver_sK5_1)
| ~ occurrence_of(X1_iProver_sK5_1,tptp0)
| ~ subactivity_occurrence(X0_iProver_sK5_1,sK15)
| ~ subactivity_occurrence(X2_iProver_sK5_1,sK15) ),
inference(global_subsumption_just,[status(thm)],[c_19960,c_4140,c_5327,c_9201]) ).
tcf(c_21535,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1,X2_iProver_sK5_1: iProver_sK5_1] :
( min_precedes(X0_iProver_sK5_1,X2_iProver_sK5_1,tptp0)
| ( X0_iProver_sK5_1 = X2_iProver_sK5_1 )
| ~ arboreal(X2_iProver_sK5_1)
| ~ subactivity_occurrence(X2_iProver_sK5_1,sK15)
| ~ subactivity_occurrence(X0_iProver_sK5_1,sK15)
| ~ occurrence_of(X1_iProver_sK5_1,tptp0)
| ~ root_occ(X0_iProver_sK5_1,X1_iProver_sK5_1) ),
inference(renaming,[status(thm)],[c_21534]) ).
tcf(c_21544,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] :
( min_precedes(sK12(sK15),X0_iProver_sK5_1,tptp0)
| ( sK12(sK15) = X0_iProver_sK5_1 )
| ~ arboreal(X0_iProver_sK5_1)
| ~ occurrence_of(sK15,tptp0)
| ~ subactivity_occurrence(X0_iProver_sK5_1,sK15)
| ~ subactivity_occurrence(sK12(sK15),sK15) ),
inference(superposition,[status(thm)],[c_19507,c_21535]) ).
tcf(c_21545,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] :
( min_precedes(sK12(sK15),X0_iProver_sK5_1,tptp0)
| ( sK12(sK15) = X0_iProver_sK5_1 )
| ~ arboreal(X0_iProver_sK5_1)
| ~ subactivity_occurrence(X0_iProver_sK5_1,sK15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21544,c_4086,c_19512]) ).
tcf(c_21555,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1] :
( ( sK12(sK15) = X1_iProver_sK5_1 )
| ~ arboreal(X1_iProver_sK5_1)
| ~ subactivity_occurrence(X1_iProver_sK5_1,sK15)
| ~ occurrence_of(X0_iProver_sK5_1,tptp0)
| ~ leaf_occ(sK12(sK15),X0_iProver_sK5_1) ),
inference(superposition,[status(thm)],[c_21545,c_4145]) ).
tcf(c_21685,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] :
( ~ leaf_occ(sK12(sK15),X0_iProver_sK5_1)
| ~ occurrence_of(X0_iProver_sK5_1,tptp0) ),
inference(global_subsumption_just,[status(thm)],[c_21555,c_124,c_5478,c_17353]) ).
tcf(c_21686,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] :
( ~ occurrence_of(X0_iProver_sK5_1,tptp0)
| ~ leaf_occ(sK12(sK15),X0_iProver_sK5_1) ),
inference(renaming,[status(thm)],[c_21685]) ).
tcf(c_21689,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] :
( next_subocc(sK12(sK15),sK14(sK12(sK15)),tptp0)
| ~ arboreal(sK12(sK15))
| ~ occurrence_of(X0_iProver_sK5_1,tptp0)
| ~ subactivity_occurrence(sK12(sK15),X0_iProver_sK5_1) ),
inference(superposition,[status(thm)],[c_4087,c_21686]) ).
tcf(c_21693,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] :
( next_subocc(sK12(sK15),sK14(sK12(sK15)),tptp0)
| ~ occurrence_of(X0_iProver_sK5_1,tptp0)
| ~ subactivity_occurrence(sK12(sK15),X0_iProver_sK5_1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21689,c_19138]) ).
tcf(c_21773,plain,
next_subocc(sK12(sK15),sK14(sK12(sK15)),tptp0),
inference(global_subsumption_just,[status(thm)],[c_21693,c_124,c_4180,c_4183,c_5199,c_5201,c_5209,c_5344,c_5370]) ).
tcf(c_21775,plain,
min_precedes(sK12(sK15),sK14(sK12(sK15)),tptp0),
inference(superposition,[status(thm)],[c_21773,c_4112]) ).
tcf(c_21932,plain,
( leaf(sK14(sK12(sK15)),tptp0)
| min_precedes(sK14(sK12(sK15)),sK6(sK14(sK12(sK15)),tptp0),tptp0) ),
inference(superposition,[status(thm)],[c_21775,c_4138]) ).
tcf(c_34021,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] :
( activity_occurrence(sK13(X0_iProver_sK5_1))
| ~ occurrence_of(X0_iProver_sK5_1,tptp0) ),
inference(superposition,[status(thm)],[c_4103,c_4153]) ).
tcf(c_34029,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] :
( subactivity_occurrence(sK12(X0_iProver_sK5_1),X0_iProver_sK5_1)
| ~ occurrence_of(X0_iProver_sK5_1,tptp0) ),
inference(superposition,[status(thm)],[c_4104,c_4126]) ).
tcf(c_34283,plain,
! [X0_iProver_tptp3_0: iProver_tptp3_0] :
( ( X0_iProver_tptp3_0 = tptp0 )
| ~ occurrence_of(sK15,X0_iProver_tptp3_0) ),
inference(superposition,[status(thm)],[c_4086,c_4146]) ).
tcf(c_34288,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_tptp3_0: iProver_tptp3_0] :
( ( sK4(X0_iProver_sK5_1) = X0_iProver_tptp3_0 )
| ~ activity_occurrence(X0_iProver_sK5_1)
| ~ occurrence_of(X0_iProver_sK5_1,X0_iProver_tptp3_0) ),
inference(superposition,[status(thm)],[c_4141,c_4146]) ).
tcf(c_34315,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] :
( ( sK9(X0_iProver_sK5_1,sK15) = tptp0 )
| ~ root_occ(X0_iProver_sK5_1,sK15) ),
inference(superposition,[status(thm)],[c_4127,c_34283]) ).
tcf(c_34324,plain,
( ( sK9(sK12(sK15),sK15) = tptp0 )
| ~ occurrence_of(sK15,tptp0) ),
inference(superposition,[status(thm)],[c_4104,c_34315]) ).
tcf(c_34325,plain,
sK9(sK12(sK15),sK15) = tptp0,
inference(forward_subsumption_resolution,[status(thm)],[c_34324,c_4086]) ).
tcf(c_34329,plain,
( root(sK12(sK15),tptp0)
| ~ root_occ(sK12(sK15),sK15) ),
inference(superposition,[status(thm)],[c_34325,c_4125]) ).
tcf(c_34330,plain,
root(sK12(sK15),tptp0),
inference(global_subsumption_just,[status(thm)],[c_34329,c_124,c_4183,c_6255]) ).
tcf(c_34437,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] :
( root_occ(sK12(sK15),X0_iProver_sK5_1)
| ~ occurrence_of(X0_iProver_sK5_1,tptp0)
| ~ subactivity_occurrence(sK12(sK15),X0_iProver_sK5_1) ),
inference(superposition,[status(thm)],[c_34330,c_4128]) ).
tcf(c_34478,plain,
( root_occ(sK12(sK15),sK15)
| ~ occurrence_of(sK15,tptp0) ),
inference(superposition,[status(thm)],[c_34029,c_34437]) ).
tcf(c_34479,plain,
root_occ(sK12(sK15),sK15),
inference(forward_subsumption_resolution,[status(thm)],[c_34478,c_4086]) ).
tcf(c_34484,plain,
subactivity_occurrence(sK12(sK15),sK15),
inference(superposition,[status(thm)],[c_34479,c_4126]) ).
tcf(c_34664,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1] :
( min_precedes(X0_iProver_sK5_1,X1_iProver_sK5_1,tptp0)
| ( X0_iProver_sK5_1 = X1_iProver_sK5_1 )
| ~ arboreal(X0_iProver_sK5_1)
| ~ leaf_occ(X1_iProver_sK5_1,sK15)
| ~ subactivity_occurrence(X0_iProver_sK5_1,sK15) ),
inference(superposition,[status(thm)],[c_4086,c_4154]) ).
tcf(c_34692,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_tptp3_0: iProver_tptp3_0] :
( ( sK4(X0_iProver_sK5_1) = X0_iProver_tptp3_0 )
| ~ occurrence_of(X0_iProver_sK5_1,X0_iProver_tptp3_0) ),
inference(global_subsumption_just,[status(thm)],[c_34288,c_4153,c_5804]) ).
tcf(c_34699,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] :
( ( sK4(sK13(X0_iProver_sK5_1)) = tptp3 )
| ~ occurrence_of(X0_iProver_sK5_1,tptp0) ),
inference(superposition,[status(thm)],[c_4103,c_34692]) ).
tcf(c_34705,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_tptp3_0: iProver_tptp3_0,X1_iProver_sK5_1: iProver_sK5_1] :
( ( sK4(sK2(X0_iProver_tptp3_0,X0_iProver_sK5_1,X1_iProver_sK5_1)) = X0_iProver_tptp3_0 )
| ~ min_precedes(X0_iProver_sK5_1,X1_iProver_sK5_1,X0_iProver_tptp3_0) ),
inference(superposition,[status(thm)],[c_4151,c_34692]) ).
tcf(c_34725,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1,X2_iProver_sK5_1: iProver_sK5_1] :
( ( X0_iProver_sK5_1 = X2_iProver_sK5_1 )
| ~ arboreal(X2_iProver_sK5_1)
| ~ leaf_occ(X0_iProver_sK5_1,sK15)
| ~ subactivity_occurrence(X2_iProver_sK5_1,sK15)
| ~ next_subocc(X2_iProver_sK5_1,X1_iProver_sK5_1,tptp0)
| ~ min_precedes(X0_iProver_sK5_1,X1_iProver_sK5_1,tptp0) ),
inference(superposition,[status(thm)],[c_34664,c_4111]) ).
tcf(c_34851,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1] :
( min_precedes(X1_iProver_sK5_1,X0_iProver_sK5_1,tptp0)
| min_precedes(X0_iProver_sK5_1,X1_iProver_sK5_1,tptp0)
| ( X0_iProver_sK5_1 = X1_iProver_sK5_1 )
| ~ arboreal(X1_iProver_sK5_1)
| ~ arboreal(X0_iProver_sK5_1)
| ~ subactivity_occurrence(X1_iProver_sK5_1,sK15)
| ~ subactivity_occurrence(X0_iProver_sK5_1,sK15) ),
inference(superposition,[status(thm)],[c_4086,c_4152]) ).
tcf(c_34934,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1,X2_iProver_sK5_1: iProver_sK5_1] :
( min_precedes(X0_iProver_sK5_1,X2_iProver_sK5_1,tptp0)
| ( X0_iProver_sK5_1 = X2_iProver_sK5_1 )
| ~ arboreal(X2_iProver_sK5_1)
| ~ arboreal(X0_iProver_sK5_1)
| ~ subactivity_occurrence(X2_iProver_sK5_1,sK15)
| ~ subactivity_occurrence(X0_iProver_sK5_1,sK15)
| ~ occurrence_of(X1_iProver_sK5_1,tptp0)
| ~ root_occ(X0_iProver_sK5_1,X1_iProver_sK5_1) ),
inference(superposition,[status(thm)],[c_34851,c_4144]) ).
tcf(c_35023,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1] :
( ( sK4(sK13(sK2(tptp0,X0_iProver_sK5_1,X1_iProver_sK5_1))) = tptp3 )
| ~ min_precedes(X0_iProver_sK5_1,X1_iProver_sK5_1,tptp0) ),
inference(superposition,[status(thm)],[c_4151,c_34699]) ).
tcf(c_35487,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1,X2_iProver_sK5_1: iProver_sK5_1] :
( ( X0_iProver_sK5_1 = X2_iProver_sK5_1 )
| ~ leaf_occ(X0_iProver_sK5_1,sK15)
| ~ subactivity_occurrence(X2_iProver_sK5_1,sK15)
| ~ next_subocc(X2_iProver_sK5_1,X1_iProver_sK5_1,tptp0)
| ~ min_precedes(X0_iProver_sK5_1,X1_iProver_sK5_1,tptp0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34725,c_4116]) ).
tcf(c_36619,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1,X2_iProver_sK5_1: iProver_sK5_1] :
( min_precedes(X0_iProver_sK5_1,X2_iProver_sK5_1,tptp0)
| ( X0_iProver_sK5_1 = X2_iProver_sK5_1 )
| ~ arboreal(X2_iProver_sK5_1)
| ~ root_occ(X0_iProver_sK5_1,X1_iProver_sK5_1)
| ~ occurrence_of(X1_iProver_sK5_1,tptp0)
| ~ subactivity_occurrence(X0_iProver_sK5_1,sK15)
| ~ subactivity_occurrence(X2_iProver_sK5_1,sK15) ),
inference(global_subsumption_just,[status(thm)],[c_34934,c_21535]) ).
tcf(c_36620,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1,X2_iProver_sK5_1: iProver_sK5_1] :
( min_precedes(X0_iProver_sK5_1,X2_iProver_sK5_1,tptp0)
| ( X0_iProver_sK5_1 = X2_iProver_sK5_1 )
| ~ arboreal(X2_iProver_sK5_1)
| ~ subactivity_occurrence(X2_iProver_sK5_1,sK15)
| ~ subactivity_occurrence(X0_iProver_sK5_1,sK15)
| ~ occurrence_of(X1_iProver_sK5_1,tptp0)
| ~ root_occ(X0_iProver_sK5_1,X1_iProver_sK5_1) ),
inference(renaming,[status(thm)],[c_36619]) ).
tcf(c_36629,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] :
( min_precedes(sK12(sK15),X0_iProver_sK5_1,tptp0)
| ( sK12(sK15) = X0_iProver_sK5_1 )
| ~ arboreal(X0_iProver_sK5_1)
| ~ occurrence_of(sK15,tptp0)
| ~ subactivity_occurrence(X0_iProver_sK5_1,sK15)
| ~ subactivity_occurrence(sK12(sK15),sK15) ),
inference(superposition,[status(thm)],[c_34479,c_36620]) ).
tcf(c_36630,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] :
( min_precedes(sK12(sK15),X0_iProver_sK5_1,tptp0)
| ( sK12(sK15) = X0_iProver_sK5_1 )
| ~ arboreal(X0_iProver_sK5_1)
| ~ subactivity_occurrence(X0_iProver_sK5_1,sK15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36629,c_4086,c_34484]) ).
tcf(c_36652,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1] :
( ( sK12(sK15) = X1_iProver_sK5_1 )
| ( sK12(sK15) = X0_iProver_sK5_1 )
| ~ arboreal(X1_iProver_sK5_1)
| ~ subactivity_occurrence(X1_iProver_sK5_1,sK15)
| ~ subactivity_occurrence(X0_iProver_sK5_1,sK15)
| ~ leaf_occ(sK12(sK15),sK15)
| ~ next_subocc(X0_iProver_sK5_1,X1_iProver_sK5_1,tptp0) ),
inference(superposition,[status(thm)],[c_36630,c_35487]) ).
tcf(c_37985,plain,
~ leaf_occ(sK12(sK15),sK15),
inference(global_subsumption_just,[status(thm)],[c_36652,c_124,c_4180,c_5209,c_5370]) ).
tcf(c_37987,plain,
( next_subocc(sK12(sK15),sK14(sK12(sK15)),tptp0)
| ~ arboreal(sK12(sK15))
| ~ occurrence_of(sK15,tptp0)
| ~ subactivity_occurrence(sK12(sK15),sK15) ),
inference(superposition,[status(thm)],[c_4087,c_37985]) ).
tcf(c_37989,plain,
next_subocc(sK12(sK15),sK14(sK12(sK15)),tptp0),
inference(forward_subsumption_resolution,[status(thm)],[c_37987,c_19138,c_4086,c_34484]) ).
tcf(c_37990,plain,
min_precedes(sK12(sK15),sK14(sK12(sK15)),tptp0),
inference(superposition,[status(thm)],[c_37989,c_4112]) ).
tcf(c_37997,plain,
sK4(sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))) = tptp0,
inference(superposition,[status(thm)],[c_37990,c_34705]) ).
tcf(c_38412,plain,
( occurrence_of(sK2(tptp0,sK12(sK15),sK14(sK12(sK15))),tptp0)
| ~ activity_occurrence(sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))) ),
inference(superposition,[status(thm)],[c_37997,c_4141]) ).
tcf(c_38866,plain,
sK4(sK13(sK2(tptp0,sK12(sK15),sK14(sK12(sK15))))) = tptp3,
inference(superposition,[status(thm)],[c_37990,c_35023]) ).
tcf(c_38950,plain,
( occurrence_of(sK13(sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))),tptp3)
| ~ activity_occurrence(sK13(sK2(tptp0,sK12(sK15),sK14(sK12(sK15))))) ),
inference(superposition,[status(thm)],[c_38866,c_4141]) ).
tcf(c_56262,plain,
occurrence_of(sK2(tptp0,sK12(sK15),sK14(sK12(sK15))),tptp0),
inference(global_subsumption_just,[status(thm)],[c_38412,c_124,c_4180,c_4183,c_5199,c_5201,c_5209,c_5344,c_5370,c_6800,c_9240]) ).
tcf(c_56278,plain,
activity_occurrence(sK13(sK2(tptp0,sK12(sK15),sK14(sK12(sK15))))),
inference(superposition,[status(thm)],[c_56262,c_34021]) ).
tcf(c_59510,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_tptp3_0: iProver_tptp3_0,X1_iProver_sK5_1: iProver_sK5_1] :
( occurrence_of(X0_iProver_sK5_1,tptp3)
| ~ occurrence_of(X1_iProver_sK5_1,X0_iProver_tptp3_0)
| ( tptp3 != X0_iProver_tptp3_0 )
| ( X0_iProver_sK5_1 != X1_iProver_sK5_1 ) ),
inference(instantiation,[status(thm)],[c_4164]) ).
tcf(c_59556,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_tptp3_0: iProver_tptp3_0,X1_iProver_sK5_1: iProver_sK5_1,X2_iProver_sK5_1: iProver_sK5_1] :
( min_precedes(X2_iProver_sK5_1,sK13(X0_iProver_sK5_1),X0_iProver_tptp3_0)
| ( X2_iProver_sK5_1 = sK13(X0_iProver_sK5_1) )
| ~ arboreal(X2_iProver_sK5_1)
| ~ subactivity_occurrence(X2_iProver_sK5_1,X1_iProver_sK5_1)
| ~ occurrence_of(X1_iProver_sK5_1,X0_iProver_tptp3_0)
| ~ leaf_occ(sK13(X0_iProver_sK5_1),X1_iProver_sK5_1) ),
inference(instantiation,[status(thm)],[c_4154]) ).
tcf(c_59677,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] :
( ~ occurrence_of(X0_iProver_sK5_1,tptp0)
| ~ root_occ(sK14(sK12(sK15)),X0_iProver_sK5_1)
| ~ min_precedes(sK12(sK15),sK14(sK12(sK15)),tptp0) ),
inference(instantiation,[status(thm)],[c_4144]) ).
tcf(c_59817,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1] :
( occurrence_of(X0_iProver_sK5_1,tptp3)
| ~ occurrence_of(X1_iProver_sK5_1,tptp3)
| ( tptp3 != tptp3 )
| ( X0_iProver_sK5_1 != X1_iProver_sK5_1 ) ),
inference(instantiation,[status(thm)],[c_59510]) ).
tcf(c_59917,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_tptp3_0: iProver_tptp3_0,X1_iProver_sK5_1: iProver_sK5_1] :
( min_precedes(sK14(sK12(sK15)),sK13(X1_iProver_sK5_1),X0_iProver_tptp3_0)
| ( sK14(sK12(sK15)) = sK13(X1_iProver_sK5_1) )
| ~ occurrence_of(X0_iProver_sK5_1,X0_iProver_tptp3_0)
| ~ arboreal(sK14(sK12(sK15)))
| ~ leaf_occ(sK13(X1_iProver_sK5_1),X0_iProver_sK5_1)
| ~ subactivity_occurrence(sK14(sK12(sK15)),X0_iProver_sK5_1) ),
inference(instantiation,[status(thm)],[c_59556]) ).
tcf(c_60205,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] :
( ~ leaf(sK14(sK12(sK15)),tptp0)
| ~ min_precedes(sK14(sK12(sK15)),X0_iProver_sK5_1,tptp0) ),
inference(instantiation,[status(thm)],[c_4136]) ).
tcf(c_60401,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_tptp3_0: iProver_tptp3_0] :
( min_precedes(sK14(sK12(sK15)),sK13(X0_iProver_sK5_1),X0_iProver_tptp3_0)
| ( sK14(sK12(sK15)) = sK13(X0_iProver_sK5_1) )
| ~ arboreal(sK14(sK12(sK15)))
| ~ occurrence_of(sK2(tptp0,sK12(sK15),sK14(sK12(sK15))),X0_iProver_tptp3_0)
| ~ leaf_occ(sK13(X0_iProver_sK5_1),sK2(tptp0,sK12(sK15),sK14(sK12(sK15))))
| ~ subactivity_occurrence(sK14(sK12(sK15)),sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))) ),
inference(instantiation,[status(thm)],[c_59917]) ).
tcf(c_60566,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1] :
( occurrence_of(X0_iProver_sK5_1,tptp3)
| ~ occurrence_of(sK13(X1_iProver_sK5_1),tptp3)
| ( tptp3 != tptp3 )
| ( X0_iProver_sK5_1 != sK13(X1_iProver_sK5_1) ) ),
inference(instantiation,[status(thm)],[c_59817]) ).
tcf(c_62252,plain,
( ~ min_precedes(sK12(sK15),sK14(sK12(sK15)),tptp0)
| ~ occurrence_of(sK2(tptp0,sK12(sK15),sK14(sK12(sK15))),tptp0)
| ~ root_occ(sK14(sK12(sK15)),sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))) ),
inference(instantiation,[status(thm)],[c_59677]) ).
tcf(c_62479,plain,
! [X0_iProver_tptp3_0: iProver_tptp3_0] :
( min_precedes(sK14(sK12(sK15)),sK13(sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))),X0_iProver_tptp3_0)
| ( sK14(sK12(sK15)) = sK13(sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))) )
| ~ arboreal(sK14(sK12(sK15)))
| ~ occurrence_of(sK2(tptp0,sK12(sK15),sK14(sK12(sK15))),X0_iProver_tptp3_0)
| ~ subactivity_occurrence(sK14(sK12(sK15)),sK2(tptp0,sK12(sK15),sK14(sK12(sK15))))
| ~ leaf_occ(sK13(sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))),sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))) ),
inference(instantiation,[status(thm)],[c_60401]) ).
tcf(c_62480,plain,
( leaf_occ(sK13(sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))),sK2(tptp0,sK12(sK15),sK14(sK12(sK15))))
| ~ occurrence_of(sK2(tptp0,sK12(sK15),sK14(sK12(sK15))),tptp0) ),
inference(instantiation,[status(thm)],[c_4102]) ).
tcf(c_62481,plain,
( min_precedes(sK14(sK12(sK15)),sK13(sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))),tptp0)
| ( sK14(sK12(sK15)) = sK13(sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))) )
| ~ arboreal(sK14(sK12(sK15)))
| ~ occurrence_of(sK2(tptp0,sK12(sK15),sK14(sK12(sK15))),tptp0)
| ~ subactivity_occurrence(sK14(sK12(sK15)),sK2(tptp0,sK12(sK15),sK14(sK12(sK15))))
| ~ leaf_occ(sK13(sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))),sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))) ),
inference(instantiation,[status(thm)],[c_62479]) ).
tcf(c_65981,plain,
( occurrence_of(sK14(sK12(sK15)),tptp3)
| ~ occurrence_of(sK13(sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))),tptp3)
| ( tptp3 != tptp3 )
| ( sK14(sK12(sK15)) != sK13(sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))) ) ),
inference(instantiation,[status(thm)],[c_60566]) ).
tcf(c_66225,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] :
( ~ occurrence_of(X0_iProver_sK5_1,tptp0)
| ~ leaf_occ(sK14(sK12(sK15)),X0_iProver_sK5_1)
| ~ min_precedes(sK14(sK12(sK15)),sK6(sK14(sK12(sK15)),tptp0),tptp0) ),
inference(instantiation,[status(thm)],[c_4145]) ).
tcf(c_67027,plain,
( ~ leaf(sK14(sK12(sK15)),tptp0)
| ~ min_precedes(sK14(sK12(sK15)),sK13(sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))),tptp0) ),
inference(instantiation,[status(thm)],[c_60205]) ).
tcf(c_67985,plain,
( ~ occurrence_of(sK2(tptp0,sK12(sK15),sK14(sK12(sK15))),tptp0)
| ~ min_precedes(sK14(sK12(sK15)),sK6(sK14(sK12(sK15)),tptp0),tptp0)
| ~ leaf_occ(sK14(sK12(sK15)),sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))) ),
inference(instantiation,[status(thm)],[c_66225]) ).
tcf(c_67986,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_67985,c_67027,c_65981,c_62480,c_62481,c_62252,c_56278,c_38950,c_21932,c_16316,c_9245,c_9240,c_6800,c_6672,c_6670,c_6599,c_5370,c_5344,c_5343,c_5209,c_5201,c_5199,c_4183,c_4180,c_4092,c_124,c_113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO004+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 06:22:22 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.42 % Proving...
% 69.62/10.42 % SZS status Started for theBenchmark.p
% 69.62/10.42 % SZS status Theorem for theBenchmark.p
% 69.62/10.42
% 69.62/10.42 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 69.62/10.42
% 69.62/10.42 % ------ iProver source info
% 69.62/10.42
% 69.62/10.42 % git: date: 2026-07-19 20:42:38 +0200
% 69.62/10.42 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 69.62/10.42 % git: non_committed_changes: false
% 69.62/10.42
% 69.62/10.42 % ------ Parsing...
% 69.62/10.42 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 69.62/10.42
% 69.62/10.42 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 69.62/10.42
% 69.62/10.42 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 69.62/10.42
% 69.62/10.42 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 69.62/10.42 % ------ Proving...
% 69.62/10.42 % ------ Problem Properties
% 69.62/10.42
% 69.62/10.42 %
% 69.62/10.42 % clauses 74
% 69.62/10.42 % conjectures 1
% 69.62/10.42 % EPR 46
% 69.62/10.42 % Horn 58
% 69.62/10.42 % unary 12
% 69.62/10.42 % binary 33
% 69.62/10.42 % lits 190
% 69.62/10.42 % lits eq 12
% 69.62/10.42 % fd_pure 0
% 69.62/10.42 % fd_pseudo 0
% 69.62/10.42 % fd_cond 0
% 69.62/10.42 % fd_pseudo_cond 6
% 69.62/10.42 % AC symbols 0
% 69.62/10.42
% 69.62/10.42 % ------ Input Options Time Limit: Unbounded
% 69.62/10.42
% 69.62/10.42
% 69.62/10.42 % ------
% 69.62/10.42 % Current options:
% 69.62/10.42 % ------
% 69.62/10.42
% 69.62/10.42
% 69.62/10.42 %
% 69.62/10.42
% 69.62/10.42 % ------ Proving...
% 69.62/10.42 %
% 69.62/10.42
% 69.62/10.42 % SZS status Theorem for theBenchmark.p
% 69.62/10.42
% 69.62/10.42 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 69.62/10.43
% 69.62/10.43
%------------------------------------------------------------------------------