%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PRO003+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 : 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 81.09s 27.42s
% Output : CNFRefutation 81.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of formulae : 161 ( 21 unt; 0 def)
% Number of atoms : 510 ( 66 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 634 ( 285 ~; 280 |; 57 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 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 : 13 ( 11 usr; 3 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 318 ( 0 sgn 299 !; 19 ?; 162 :)
% 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(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(f17,axiom,
! [X0,X1] :
( occurrence_of(X0,X1)
=> ( arboreal(X0)
<=> atomic(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_16) ).
fof(f20,axiom,
! [X0,X1] :
( root_occ(X0,X1)
<=> ? [X2] :
( root(X0,X2)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_19) ).
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(f30,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_29) ).
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(f46,axiom,
! [X0,X1] :
( ( root_occ(X0,X1)
& occurrence_of(X1,tptp0) )
=> ? [X2] :
( next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_45) ).
fof(f47,conjecture,
~ ? [X0] : occurrence_of(X0,tptp0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f48,negated_conjecture,
~ ~ ? [X0] : occurrence_of(X0,tptp0),
inference(negated_conjecture,[status(cth)],[f47]) ).
fof(f49,plain,
? [X0] : occurrence_of(X0,tptp0),
inference(flattening,[],[f48]) ).
fof(f60,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(f61,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,[],[f60]) ).
fof(f66,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(f69,plain,
! [X0,X1,X2] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(ennf_transformation,[],[f9]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(flattening,[],[f69]) ).
fof(f80,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ( arboreal(X0)
<=> atomic(X1) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f87,plain,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
<=> ( ! [X3] :
( ~ min_precedes(X3,X1,X2)
| ~ min_precedes(X0,X3,X2) )
& min_precedes(X0,X1,X2) ) ),
inference(ennf_transformation,[],[f27]) ).
fof(f92,plain,
! [X0,X1,X2,X3] :
( ~ root_occ(X1,X2)
| ~ root_occ(X0,X2)
| ~ occurrence_of(X2,X3)
| X0 = X1 ),
inference(ennf_transformation,[],[f30]) ).
fof(f93,plain,
! [X0,X1,X2,X3] :
( ~ root_occ(X1,X2)
| ~ root_occ(X0,X2)
| ~ occurrence_of(X2,X3)
| X0 = X1 ),
inference(flattening,[],[f92]) ).
fof(f98,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ? [X1,X2] :
( 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(f99,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ? [X2] :
( next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp1) ) ),
inference(ennf_transformation,[],[f46]) ).
fof(f100,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ? [X2] :
( next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp1) ) ),
inference(flattening,[],[f99]) ).
fof(f103,plain,
! [X0,X1,X2] :
( ~ min_precedes(X1,X2,X0)
| ( subactivity_occurrence(X2,sK2(X0,X1,X2))
& subactivity_occurrence(X1,sK2(X0,X1,X2))
& occurrence_of(sK2(X0,X1,X2),X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X3,sK2(X0,X1,X2))],[f66]) ).
fof(f111,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ( ( ~ arboreal(X0)
| atomic(X1) )
& ( ~ atomic(X1)
| arboreal(X0) ) ) ),
inference(nnf_transformation,[],[f80]) ).
fof(f115,plain,
! [X0,X1] :
( ( ~ root_occ(X0,X1)
| ? [X2] :
( root(X0,X2)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X2) ) )
& ( ! [X2] :
( ~ root(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) )
| root_occ(X0,X1) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f116,plain,
! [X0,X1] :
( ( ~ root_occ(X0,X1)
| ? [X3] :
( root(X0,X3)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X3) ) )
& ( ! [X2] :
( ~ root(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) )
| root_occ(X0,X1) ) ),
inference(rectify,[],[f115]) ).
fof(f117,plain,
! [X0,X1] :
( ( ~ root_occ(X0,X1)
| ( root(X0,sK9(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK9(X0,X1)) ) )
& ( ! [X2] :
( ~ root(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) )
| root_occ(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X3,sK9(X0,X1))],[f116]) ).
fof(f121,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,[],[f87]) ).
fof(f122,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,[],[f121]) ).
fof(f123,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,[],[f122]) ).
fof(f124,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))],[f123]) ).
fof(f125,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))],[f98]) ).
fof(f126,plain,
! [X0,X1] :
( ~ root_occ(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))],[f100]) ).
fof(f127,plain,
occurrence_of(sK15,tptp0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(X0,sK15)],[f49]) ).
fof(f131,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,[],[f61]) ).
fof(f135,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| subactivity_occurrence(X2,sK2(X0,X1,X2)) ),
inference(cnf_transformation,[],[f103]) ).
fof(f136,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| subactivity_occurrence(X1,sK2(X0,X1,X2)) ),
inference(cnf_transformation,[],[f103]) ).
fof(f137,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| occurrence_of(sK2(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f140,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f70]) ).
fof(f154,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ~ atomic(X1)
| arboreal(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f160,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| root(X0,sK9(X0,X1)) ),
inference(cnf_transformation,[],[f117]) ).
fof(f162,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| occurrence_of(X1,sK9(X0,X1)) ),
inference(cnf_transformation,[],[f117]) ).
fof(f163,plain,
! [X2,X0,X1] :
( ~ root(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2)
| root_occ(X0,X1) ),
inference(cnf_transformation,[],[f117]) ).
fof(f174,plain,
! [X2,X0,X1,X4] :
( ~ next_subocc(X0,X1,X2)
| ~ min_precedes(X4,X1,X2)
| ~ min_precedes(X0,X4,X2) ),
inference(cnf_transformation,[],[f124]) ).
fof(f175,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f124]) ).
fof(f180,plain,
! [X2,X3,X0,X1] :
( ~ root_occ(X1,X2)
| ~ root_occ(X0,X2)
| ~ occurrence_of(X2,X3)
| X0 = X1 ),
inference(cnf_transformation,[],[f93]) ).
fof(f183,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| next_subocc(sK12(X0),sK13(X0),tptp0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f184,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| leaf_occ(sK13(X0),X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f185,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| occurrence_of(sK13(X0),tptp3) ),
inference(cnf_transformation,[],[f125]) ).
fof(f186,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| root_occ(sK12(X0),X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f192,plain,
atomic(tptp1),
inference(cnf_transformation,[],[f39]) ).
fof(f196,plain,
tptp3 != tptp1,
inference(cnf_transformation,[],[f43]) ).
fof(f199,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| ~ occurrence_of(X1,tptp0)
| next_subocc(X0,sK14(X0),tptp0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f200,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| ~ occurrence_of(X1,tptp0)
| occurrence_of(sK14(X0),tptp1) ),
inference(cnf_transformation,[],[f126]) ).
fof(f201,plain,
occurrence_of(sK15,tptp0),
inference(cnf_transformation,[],[f127]) ).
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,[],[f131]) ).
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,[],[f137]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i] :
( subactivity_occurrence(X0,sK2(X2,X0,X1))
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f136]) ).
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,[],[f135]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] :
( arboreal(X0)
| ~ atomic(X1)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f154]) ).
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,[],[f163]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i] :
( occurrence_of(X1,sK9(X0,X1))
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i] :
( root(X0,sK9(X0,X1))
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i] :
( min_precedes(X0,X1,X2)
| ~ next_subocc(X0,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
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,[],[f174]) ).
tcf(c_101,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,[],[f180]) ).
tcf(c_105,plain,
! [X0: $i] :
( root_occ(sK12(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_106,plain,
! [X0: $i] :
( occurrence_of(sK13(X0),tptp3)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f185]) ).
tcf(c_107,plain,
! [X0: $i] :
( leaf_occ(sK13(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f184]) ).
tcf(c_108,plain,
! [X0: $i] :
( next_subocc(sK12(X0),sK13(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_113,plain,
atomic(tptp1),
inference(cnf_transformation,[],[f192]) ).
tcf(c_117,plain,
tptp3 != tptp1,
inference(cnf_transformation,[],[f196]) ).
tcf(c_120,plain,
! [X0: $i,X1: $i] :
( occurrence_of(sK14(X0),tptp1)
| ~ occurrence_of(X1,tptp0)
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f200]) ).
tcf(c_121,plain,
! [X0: $i,X1: $i] :
( next_subocc(X0,sK14(X0),tptp0)
| ~ occurrence_of(X1,tptp0)
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f199]) ).
tcf(c_122,negated_conjecture,
occurrence_of(sK15,tptp0),
inference(cnf_transformation,[],[f201]) ).
tcf(c_3988,negated_conjecture,
occurrence_of(sK15,tptp0),
inference(subtyping,[status(esa)],[c_122]) ).
tcf(c_3989,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1] :
( next_subocc(X0_iProver_sK5_1,sK14(X0_iProver_sK5_1),tptp0)
| ~ occurrence_of(X1_iProver_sK5_1,tptp0)
| ~ root_occ(X0_iProver_sK5_1,X1_iProver_sK5_1) ),
inference(subtyping,[status(esa)],[c_121]) ).
tcf(c_3990,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1] :
( occurrence_of(sK14(X0_iProver_sK5_1),tptp1)
| ~ occurrence_of(X1_iProver_sK5_1,tptp0)
| ~ root_occ(X0_iProver_sK5_1,X1_iProver_sK5_1) ),
inference(subtyping,[status(esa)],[c_120]) ).
tcf(c_3993,plain,
tptp3 != tptp1,
inference(subtyping,[status(esa)],[c_117]) ).
tcf(c_4002,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_4003,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_4004,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_4005,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_4009,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] :
( ( X1_iProver_sK5_1 = X2_iProver_sK5_1 )
| ~ root_occ(X2_iProver_sK5_1,X0_iProver_sK5_1)
| ~ root_occ(X1_iProver_sK5_1,X0_iProver_sK5_1)
| ~ occurrence_of(X0_iProver_sK5_1,X0_iProver_tptp3_0) ),
inference(subtyping,[status(esa)],[c_101]) ).
tcf(c_4012,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_4013,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_4026,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_4028,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_4029,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_4036,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_4047,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_4050,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_4051,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_tptp3_0: iProver_tptp3_0,X1_iProver_sK5_1: iProver_sK5_1] :
( subactivity_occurrence(X0_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_57]) ).
tcf(c_4052,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_4055,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_4060,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] : X0_iProver_sK5_1 = X0_iProver_sK5_1,
theory(equality) ).
tcf(c_4061,plain,
! [X0_iProver_tptp3_0: iProver_tptp3_0] : X0_iProver_tptp3_0 = X0_iProver_tptp3_0,
theory(equality) ).
tcf(c_4065,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_4068,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,X3_iProver_sK5_1: iProver_sK5_1] :
( min_precedes(X0_iProver_sK5_1,X2_iProver_sK5_1,X0_iProver_tptp3_0)
| ~ min_precedes(X1_iProver_sK5_1,X3_iProver_sK5_1,X0_iProver_tptp3_0)
| ( X2_iProver_sK5_1 != X3_iProver_sK5_1 )
| ( X0_iProver_sK5_1 != X1_iProver_sK5_1 ) ),
theory(equality) ).
tcf(c_4083,plain,
( root_occ(sK12(sK15),sK15)
| ~ occurrence_of(sK15,tptp0) ),
inference(instantiation,[status(thm)],[c_4005]) ).
tcf(c_5018,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] :
( occurrence_of(sK14(sK12(X0_iProver_sK5_1)),tptp1)
| ~ occurrence_of(X0_iProver_sK5_1,tptp0)
| ~ root_occ(sK12(X0_iProver_sK5_1),X0_iProver_sK5_1) ),
inference(instantiation,[status(thm)],[c_3990]) ).
tcf(c_5019,plain,
( occurrence_of(sK14(sK12(sK15)),tptp1)
| ~ occurrence_of(sK15,tptp0)
| ~ root_occ(sK12(sK15),sK15) ),
inference(instantiation,[status(thm)],[c_5018]) ).
tcf(c_5020,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] :
( next_subocc(sK12(X0_iProver_sK5_1),sK14(sK12(X0_iProver_sK5_1)),tptp0)
| ~ occurrence_of(X0_iProver_sK5_1,tptp0)
| ~ root_occ(sK12(X0_iProver_sK5_1),X0_iProver_sK5_1) ),
inference(instantiation,[status(thm)],[c_3989]) ).
tcf(c_5021,plain,
( next_subocc(sK12(sK15),sK14(sK12(sK15)),tptp0)
| ~ occurrence_of(sK15,tptp0)
| ~ root_occ(sK12(sK15),sK15) ),
inference(instantiation,[status(thm)],[c_5020]) ).
tcf(c_5034,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_4047]) ).
tcf(c_5042,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_4036]) ).
tcf(c_5208,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_5042]) ).
tcf(c_5210,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_5034]) ).
tcf(c_5213,plain,
( ( tptp3 = tptp1 )
| ~ occurrence_of(sK14(sK12(sK15)),tptp1)
| ~ occurrence_of(sK14(sK12(sK15)),tptp3) ),
inference(instantiation,[status(thm)],[c_5210]) ).
tcf(c_5215,plain,
( arboreal(sK14(sK12(sK15)))
| ~ atomic(tptp1)
| ~ occurrence_of(sK14(sK12(sK15)),tptp1) ),
inference(instantiation,[status(thm)],[c_5208]) ).
tcf(c_5292,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_4013]) ).
tcf(c_5296,plain,
( min_precedes(sK12(sK15),sK14(sK12(sK15)),tptp0)
| ~ next_subocc(sK12(sK15),sK14(sK12(sK15)),tptp0) ),
inference(instantiation,[status(thm)],[c_5292]) ).
tcf(c_5326,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_4055]) ).
tcf(c_5992,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_3988,c_4047]) ).
tcf(c_6009,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_4028,c_5992]) ).
tcf(c_6060,plain,
( ( sK9(sK12(sK15),sK15) = tptp0 )
| ~ occurrence_of(sK15,tptp0) ),
inference(superposition,[status(thm)],[c_4005,c_6009]) ).
tcf(c_6061,plain,
sK9(sK12(sK15),sK15) = tptp0,
inference(forward_subsumption_resolution,[status(thm)],[c_6060,c_3988]) ).
tcf(c_6065,plain,
( root(sK12(sK15),tptp0)
| ~ root_occ(sK12(sK15),sK15) ),
inference(superposition,[status(thm)],[c_6061,c_4026]) ).
tcf(c_6254,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] :
( subactivity_occurrence(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_4051]) ).
tcf(c_6255,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_4050]) ).
tcf(c_6261,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_4052]) ).
tcf(c_6265,plain,
( occurrence_of(sK2(tptp0,sK12(sK15),sK14(sK12(sK15))),tptp0)
| ~ min_precedes(sK12(sK15),sK14(sK12(sK15)),tptp0) ),
inference(instantiation,[status(thm)],[c_6261]) ).
tcf(c_6270,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_6255]) ).
tcf(c_6271,plain,
( subactivity_occurrence(sK12(sK15),sK2(tptp0,sK12(sK15),sK14(sK12(sK15))))
| ~ min_precedes(sK12(sK15),sK14(sK12(sK15)),tptp0) ),
inference(instantiation,[status(thm)],[c_6254]) ).
tcf(c_6615,plain,
tptp3 = tptp3,
inference(instantiation,[status(thm)],[c_4061]) ).
tcf(c_6894,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(sK14(sK12(X0_iProver_sK5_1)),sK13(X2_iProver_sK5_1),X0_iProver_tptp3_0)
| ( sK14(sK12(X0_iProver_sK5_1)) = sK13(X2_iProver_sK5_1) )
| ~ occurrence_of(X1_iProver_sK5_1,X0_iProver_tptp3_0)
| ~ arboreal(sK14(sK12(X0_iProver_sK5_1)))
| ~ leaf_occ(sK13(X2_iProver_sK5_1),X1_iProver_sK5_1)
| ~ subactivity_occurrence(sK14(sK12(X0_iProver_sK5_1)),X1_iProver_sK5_1) ),
inference(instantiation,[status(thm)],[c_5326]) ).
tcf(c_10274,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(X0_iProver_sK5_1)),sK13(X1_iProver_sK5_1),X0_iProver_tptp3_0)
| ( sK14(sK12(X0_iProver_sK5_1)) = sK13(X1_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))),X0_iProver_tptp3_0)
| ~ leaf_occ(sK13(X1_iProver_sK5_1),sK2(tptp0,sK12(X0_iProver_sK5_1),sK14(sK12(X0_iProver_sK5_1))))
| ~ 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_6894]) ).
tcf(c_15150,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] : sK14(sK12(X0_iProver_sK5_1)) = sK14(sK12(X0_iProver_sK5_1)),
inference(instantiation,[status(thm)],[c_4060]) ).
tcf(c_15151,plain,
sK14(sK12(sK15)) = sK14(sK12(sK15)),
inference(instantiation,[status(thm)],[c_15150]) ).
tcf(c_17380,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_tptp3_0: iProver_tptp3_0] :
( min_precedes(sK14(sK12(X0_iProver_sK5_1)),sK13(sK2(tptp0,sK12(X0_iProver_sK5_1),sK14(sK12(X0_iProver_sK5_1)))),X0_iProver_tptp3_0)
| ( sK14(sK12(X0_iProver_sK5_1)) = sK13(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))),X0_iProver_tptp3_0)
| ~ subactivity_occurrence(sK14(sK12(X0_iProver_sK5_1)),sK2(tptp0,sK12(X0_iProver_sK5_1),sK14(sK12(X0_iProver_sK5_1))))
| ~ leaf_occ(sK13(sK2(tptp0,sK12(X0_iProver_sK5_1),sK14(sK12(X0_iProver_sK5_1)))),sK2(tptp0,sK12(X0_iProver_sK5_1),sK14(sK12(X0_iProver_sK5_1)))) ),
inference(instantiation,[status(thm)],[c_10274]) ).
tcf(c_17381,plain,
! [X0_iProver_sK5_1: iProver_sK5_1] :
( leaf_occ(sK13(sK2(tptp0,sK12(X0_iProver_sK5_1),sK14(sK12(X0_iProver_sK5_1)))),sK2(tptp0,sK12(X0_iProver_sK5_1),sK14(sK12(X0_iProver_sK5_1))))
| ~ occurrence_of(sK2(tptp0,sK12(X0_iProver_sK5_1),sK14(sK12(X0_iProver_sK5_1))),tptp0) ),
inference(instantiation,[status(thm)],[c_4003]) ).
tcf(c_17382,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_17380]) ).
tcf(c_17383,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_17381]) ).
tcf(c_56855,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_4065]) ).
tcf(c_56964,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] :
( ( X2_iProver_sK5_1 = sK12(X0_iProver_sK5_1) )
| ~ root_occ(X2_iProver_sK5_1,X1_iProver_sK5_1)
| ~ occurrence_of(X1_iProver_sK5_1,X0_iProver_tptp3_0)
| ~ root_occ(sK12(X0_iProver_sK5_1),X1_iProver_sK5_1) ),
inference(instantiation,[status(thm)],[c_4009]) ).
tcf(c_57146,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_56855]) ).
tcf(c_57174,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_tptp3_0: iProver_tptp3_0,X1_iProver_sK5_1: iProver_sK5_1] :
( root_occ(sK12(X0_iProver_sK5_1),X1_iProver_sK5_1)
| ~ occurrence_of(X1_iProver_sK5_1,X0_iProver_tptp3_0)
| ~ subactivity_occurrence(sK12(X0_iProver_sK5_1),X1_iProver_sK5_1)
| ~ root(sK12(X0_iProver_sK5_1),X0_iProver_tptp3_0) ),
inference(instantiation,[status(thm)],[c_4029]) ).
tcf(c_57202,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_tptp3_0: iProver_tptp3_0,X1_iProver_sK5_1: iProver_sK5_1] :
( ( sK12(X1_iProver_sK5_1) = sK12(X0_iProver_sK5_1) )
| ~ occurrence_of(X1_iProver_sK5_1,X0_iProver_tptp3_0)
| ~ root_occ(sK12(X1_iProver_sK5_1),X1_iProver_sK5_1)
| ~ root_occ(sK12(X0_iProver_sK5_1),X1_iProver_sK5_1) ),
inference(instantiation,[status(thm)],[c_56964]) ).
tcf(c_57764,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_57146]) ).
tcf(c_59337,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_tptp3_0: iProver_tptp3_0] :
( ( sK12(X0_iProver_sK5_1) = sK12(sK15) )
| ~ occurrence_of(X0_iProver_sK5_1,X0_iProver_tptp3_0)
| ~ root_occ(sK12(sK15),X0_iProver_sK5_1)
| ~ root_occ(sK12(X0_iProver_sK5_1),X0_iProver_sK5_1) ),
inference(instantiation,[status(thm)],[c_57202]) ).
tcf(c_61976,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(X0_iProver_sK5_1,X1_iProver_sK5_1,X0_iProver_tptp3_0)
| ~ min_precedes(sK12(sK15),sK14(sK12(X2_iProver_sK5_1)),X0_iProver_tptp3_0)
| ( X1_iProver_sK5_1 != sK14(sK12(X2_iProver_sK5_1)) )
| ( X0_iProver_sK5_1 != sK12(sK15) ) ),
inference(instantiation,[status(thm)],[c_4068]) ).
tcf(c_62984,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_57764]) ).
tcf(c_66174,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_tptp3_0: iProver_tptp3_0,X1_iProver_sK5_1: iProver_sK5_1] :
( min_precedes(X1_iProver_sK5_1,sK14(sK12(sK15)),X0_iProver_tptp3_0)
| ~ min_precedes(sK12(sK15),sK14(sK12(X0_iProver_sK5_1)),X0_iProver_tptp3_0)
| ( X1_iProver_sK5_1 != sK12(sK15) )
| ( sK14(sK12(sK15)) != sK14(sK12(X0_iProver_sK5_1)) ) ),
inference(instantiation,[status(thm)],[c_61976]) ).
tcf(c_67528,plain,
( root_occ(sK12(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_4005]) ).
tcf(c_67537,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_tptp3_0: iProver_tptp3_0] :
( root_occ(sK12(X0_iProver_sK5_1),sK2(tptp0,sK12(sK15),sK14(sK12(sK15))))
| ~ root(sK12(X0_iProver_sK5_1),X0_iProver_tptp3_0)
| ~ occurrence_of(sK2(tptp0,sK12(sK15),sK14(sK12(sK15))),X0_iProver_tptp3_0)
| ~ subactivity_occurrence(sK12(X0_iProver_sK5_1),sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))) ),
inference(instantiation,[status(thm)],[c_57174]) ).
tcf(c_67539,plain,
( root_occ(sK12(sK15),sK2(tptp0,sK12(sK15),sK14(sK12(sK15))))
| ~ root(sK12(sK15),tptp0)
| ~ occurrence_of(sK2(tptp0,sK12(sK15),sK14(sK12(sK15))),tptp0)
| ~ subactivity_occurrence(sK12(sK15),sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))) ),
inference(instantiation,[status(thm)],[c_67537]) ).
tcf(c_68664,plain,
( occurrence_of(sK13(sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))),tptp3)
| ~ occurrence_of(sK2(tptp0,sK12(sK15),sK14(sK12(sK15))),tptp0) ),
inference(instantiation,[status(thm)],[c_4004]) ).
tcf(c_68955,plain,
( next_subocc(sK12(sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))),sK13(sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))),tptp0)
| ~ occurrence_of(sK2(tptp0,sK12(sK15),sK14(sK12(sK15))),tptp0) ),
inference(instantiation,[status(thm)],[c_4002]) ).
tcf(c_72312,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_tptp3_0: iProver_tptp3_0,X1_iProver_sK5_1: iProver_sK5_1] :
( min_precedes(sK12(X1_iProver_sK5_1),sK14(sK12(sK15)),X0_iProver_tptp3_0)
| ~ min_precedes(sK12(sK15),sK14(sK12(X0_iProver_sK5_1)),X0_iProver_tptp3_0)
| ( sK12(X1_iProver_sK5_1) != sK12(sK15) )
| ( sK14(sK12(sK15)) != sK14(sK12(X0_iProver_sK5_1)) ) ),
inference(instantiation,[status(thm)],[c_66174]) ).
tcf(c_75855,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_tptp3_0: iProver_tptp3_0] :
( min_precedes(sK12(sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))),sK14(sK12(sK15)),X0_iProver_tptp3_0)
| ~ min_precedes(sK12(sK15),sK14(sK12(X0_iProver_sK5_1)),X0_iProver_tptp3_0)
| ( sK14(sK12(sK15)) != sK14(sK12(X0_iProver_sK5_1)) )
| ( sK12(sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))) != sK12(sK15) ) ),
inference(instantiation,[status(thm)],[c_72312]) ).
tcf(c_75856,plain,
( min_precedes(sK12(sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))),sK14(sK12(sK15)),tptp0)
| ~ min_precedes(sK12(sK15),sK14(sK12(sK15)),tptp0)
| ( sK14(sK12(sK15)) != sK14(sK12(sK15)) )
| ( sK12(sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))) != sK12(sK15) ) ),
inference(instantiation,[status(thm)],[c_75855]) ).
tcf(c_84573,plain,
! [X0_iProver_tptp3_0: iProver_tptp3_0] :
( ( sK12(sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))) = sK12(sK15) )
| ~ occurrence_of(sK2(tptp0,sK12(sK15),sK14(sK12(sK15))),X0_iProver_tptp3_0)
| ~ root_occ(sK12(sK15),sK2(tptp0,sK12(sK15),sK14(sK12(sK15))))
| ~ root_occ(sK12(sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))),sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))) ),
inference(instantiation,[status(thm)],[c_59337]) ).
tcf(c_84574,plain,
( ( sK12(sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))) = sK12(sK15) )
| ~ occurrence_of(sK2(tptp0,sK12(sK15),sK14(sK12(sK15))),tptp0)
| ~ root_occ(sK12(sK15),sK2(tptp0,sK12(sK15),sK14(sK12(sK15))))
| ~ root_occ(sK12(sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))),sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))) ),
inference(instantiation,[status(thm)],[c_84573]) ).
tcf(c_162741,plain,
! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_tptp3_0: iProver_tptp3_0] :
( ~ min_precedes(X0_iProver_sK5_1,sK14(sK12(sK15)),X0_iProver_tptp3_0)
| ~ next_subocc(X0_iProver_sK5_1,sK13(sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))),X0_iProver_tptp3_0)
| ~ min_precedes(sK14(sK12(sK15)),sK13(sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))),X0_iProver_tptp3_0) ),
inference(instantiation,[status(thm)],[c_4012]) ).
tcf(c_168731,plain,
( ~ min_precedes(sK14(sK12(sK15)),sK13(sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))),tptp0)
| ~ min_precedes(sK12(sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))),sK14(sK12(sK15)),tptp0)
| ~ next_subocc(sK12(sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))),sK13(sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))),tptp0) ),
inference(instantiation,[status(thm)],[c_162741]) ).
tcf(c_168735,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_168731,c_84574,c_75856,c_68955,c_68664,c_67539,c_67528,c_62984,c_17383,c_17382,c_15151,c_6615,c_6271,c_6270,c_6265,c_6065,c_5296,c_5215,c_5213,c_5021,c_5019,c_4083,c_3993,c_122,c_113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PRO003+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/5.37 % Computer : n003.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Thu Sep 24 06:26:56 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/5.40 Running first-order theorem proving
% 0.13/5.40 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
% 0.13/5.42
% 0.13/5.42 % ======== iProver multi-core TPTP/SMT =========
% 0.13/5.42
% 0.13/5.42 % Detected problem language: tptp
% 0.13/5.43 % Proving...
% 81.09/27.42 % SZS status Started for theBenchmark.p
% 81.09/27.42 % SZS status Theorem for theBenchmark.p
% 81.09/27.42
% 81.09/27.42 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 81.09/27.42
% 81.09/27.42 % ------ iProver source info
% 81.09/27.42
% 81.09/27.42 % git: date: 2026-07-19 20:42:38 +0200
% 81.09/27.42 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 81.09/27.42 % git: non_committed_changes: false
% 81.09/27.42
% 81.09/27.42 % ------ Parsing...
% 81.09/27.42 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 81.09/27.42
% 81.09/27.42 % ------ 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 %
% 81.09/27.42
% 81.09/27.42 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 81.09/27.42
% 81.09/27.42 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 81.09/27.42 % ------ Proving...
% 81.09/27.42 % ------ Problem Properties
% 81.09/27.42
% 81.09/27.42 %
% 81.09/27.42 % clauses 73
% 81.09/27.42 % conjectures 1
% 81.09/27.42 % EPR 45
% 81.09/27.42 % Horn 60
% 81.09/27.42 % unary 12
% 81.09/27.42 % binary 33
% 81.09/27.42 % lits 181
% 81.09/27.42 % lits eq 12
% 81.09/27.42 % fd_pure 0
% 81.09/27.42 % fd_pseudo 0
% 81.09/27.42 % fd_cond 0
% 81.09/27.42 % fd_pseudo_cond 6
% 81.09/27.42 % AC symbols 0
% 81.09/27.42
% 81.09/27.42 % ------ Input Options Time Limit: Unbounded
% 81.09/27.42
% 81.09/27.42
% 81.09/27.42 % ------
% 81.09/27.42 % Current options:
% 81.09/27.42 % ------
% 81.09/27.42
% 81.09/27.42
% 81.09/27.42 %
% 81.09/27.42
% 81.09/27.42 % ------ Proving...
% 81.09/27.42 %
% 81.09/27.42
% 81.09/27.42 % SZS status Theorem for theBenchmark.p
% 81.09/27.42
% 81.09/27.42 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 81.09/27.43
% 81.09/27.43
%------------------------------------------------------------------------------