%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PRO012+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n015.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 02:31:36 PM UTC 2026
% Result : Theorem 44.61s 7.05s
% Output : CNFRefutation 44.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 16
% Syntax : Number of formulae : 163 ( 9 unt; 0 def)
% Number of atoms : 544 ( 41 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 671 ( 290 ~; 297 |; 67 &)
% ( 4 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 14 ( 12 usr; 3 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 325 ( 0 sgn 304 !; 21 ?; 155 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1,X2] :
( ( occurrence_of(X0,X2)
& occurrence_of(X0,X1) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
fof(f8,axiom,
! [X0,X1] :
( occurrence_of(X0,X1)
=> ( arboreal(X0)
<=> atomic(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).
fof(f9,axiom,
! [X0] :
( legal(X0)
=> arboreal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).
fof(f11,axiom,
! [X0,X1] :
( precedes(X0,X1)
<=> ( legal(X1)
& earlier(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_10) ).
fof(f14,axiom,
! [X0,X1,X2] :
( min_precedes(X0,X1,X2)
=> ? [X3] :
( min_precedes(X3,X1,X2)
& root(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_13) ).
fof(f15,axiom,
! [X0,X1,X2] :
( min_precedes(X0,X1,X2)
=> ~ root(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_14) ).
fof(f16,axiom,
! [X0,X1,X2] :
( min_precedes(X0,X1,X2)
=> precedes(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_15) ).
fof(f26,axiom,
! [X0,X1,X2] :
( min_precedes(X1,X2,X0)
=> ? [X3] :
( subactivity_occurrence(X2,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_25) ).
fof(f29,axiom,
! [X0,X1,X2,X3] :
( ( subactivity_occurrence(X3,X1)
& subactivity_occurrence(X2,X1)
& arboreal(X3)
& arboreal(X2)
& occurrence_of(X1,X0) )
=> ( X2 = X3
| min_precedes(X3,X2,X0)
| min_precedes(X2,X3,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_28) ).
fof(f30,axiom,
! [X0,X1,X2,X3] :
( ( subactivity_occurrence(X1,X3)
& occurrence_of(X3,X2)
& min_precedes(X0,X1,X2) )
=> subactivity_occurrence(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_29) ).
fof(f34,axiom,
! [X0,X1] :
( root_occ(X0,X1)
<=> ? [X2] :
( root(X0,X2)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_33) ).
fof(f36,axiom,
! [X0] :
( occurrence_of(X0,tptp0)
=> ? [X1,X2,X3] :
( ! [X4] :
( min_precedes(X1,X4,tptp0)
=> ( X4 = X3
| X4 = X2 ) )
& min_precedes(X2,X3,tptp0)
& ( occurrence_of(X3,tptp1)
| occurrence_of(X3,tptp2) )
& min_precedes(X1,X2,tptp0)
& occurrence_of(X2,tptp4)
& root_occ(X1,X0)
& occurrence_of(X1,tptp3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_35) ).
fof(f42,axiom,
atomic(tptp3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_41) ).
fof(f49,conjecture,
! [X0] :
( occurrence_of(X0,tptp0)
=> ? [X1,X2] :
( min_precedes(X1,X2,tptp0)
& ( occurrence_of(X2,tptp1)
| occurrence_of(X2,tptp2) )
& root_occ(X1,X0)
& occurrence_of(X1,tptp3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f50,negated_conjecture,
~ ! [X0] :
( occurrence_of(X0,tptp0)
=> ? [X1,X2] :
( min_precedes(X1,X2,tptp0)
& ( occurrence_of(X2,tptp1)
| occurrence_of(X2,tptp2) )
& root_occ(X1,X0)
& occurrence_of(X1,tptp3) ) ),
inference(negated_conjecture,[status(cth)],[f49]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(ennf_transformation,[],[f3]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(flattening,[],[f53]) ).
fof(f61,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ( arboreal(X0)
<=> atomic(X1) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f62,plain,
! [X0] :
( ~ legal(X0)
| arboreal(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ~ min_precedes(X0,X1,X2)
| ? [X3] :
( min_precedes(X3,X1,X2)
& root(X3,X2) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ~ min_precedes(X0,X1,X2)
| ~ root(X1,X2) ),
inference(ennf_transformation,[],[f15]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ~ min_precedes(X0,X1,X2)
| precedes(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f79,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,[],[f26]) ).
fof(f84,plain,
! [X0,X1,X2,X3] :
( ~ subactivity_occurrence(X3,X1)
| ~ subactivity_occurrence(X2,X1)
| ~ arboreal(X3)
| ~ arboreal(X2)
| ~ occurrence_of(X1,X0)
| X2 = X3
| min_precedes(X3,X2,X0)
| min_precedes(X2,X3,X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f85,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,[],[f84]) ).
fof(f86,plain,
! [X0,X1,X2,X3] :
( ~ subactivity_occurrence(X1,X3)
| ~ occurrence_of(X3,X2)
| ~ min_precedes(X0,X1,X2)
| subactivity_occurrence(X0,X3) ),
inference(ennf_transformation,[],[f30]) ).
fof(f87,plain,
! [X0,X1,X2,X3] :
( ~ subactivity_occurrence(X1,X3)
| ~ occurrence_of(X3,X2)
| ~ min_precedes(X0,X1,X2)
| subactivity_occurrence(X0,X3) ),
inference(flattening,[],[f86]) ).
fof(f94,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ? [X1,X2,X3] :
( ! [X4] :
( ~ min_precedes(X1,X4,tptp0)
| X4 = X3
| X4 = X2 )
& min_precedes(X2,X3,tptp0)
& ( occurrence_of(X3,tptp1)
| occurrence_of(X3,tptp2) )
& min_precedes(X1,X2,tptp0)
& occurrence_of(X2,tptp4)
& root_occ(X1,X0)
& occurrence_of(X1,tptp3) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f95,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ? [X1,X2,X3] :
( ! [X4] :
( ~ min_precedes(X1,X4,tptp0)
| X4 = X3
| X4 = X2 )
& min_precedes(X2,X3,tptp0)
& ( occurrence_of(X3,tptp1)
| occurrence_of(X3,tptp2) )
& min_precedes(X1,X2,tptp0)
& occurrence_of(X2,tptp4)
& root_occ(X1,X0)
& occurrence_of(X1,tptp3) ) ),
inference(flattening,[],[f94]) ).
fof(f96,plain,
? [X0] :
( occurrence_of(X0,tptp0)
& ! [X1,X2] :
( ~ min_precedes(X1,X2,tptp0)
| ( ~ occurrence_of(X2,tptp1)
& ~ occurrence_of(X2,tptp2) )
| ~ root_occ(X1,X0)
| ~ occurrence_of(X1,tptp3) ) ),
inference(ennf_transformation,[],[f50]) ).
fof(f98,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ( ( ~ arboreal(X0)
| atomic(X1) )
& ( ~ atomic(X1)
| arboreal(X0) ) ) ),
inference(nnf_transformation,[],[f61]) ).
fof(f99,plain,
! [X0,X1] :
( ( ~ precedes(X0,X1)
| ( legal(X1)
& earlier(X0,X1) ) )
& ( ~ legal(X1)
| ~ earlier(X0,X1)
| precedes(X0,X1) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f100,plain,
! [X0,X1] :
( ( ~ precedes(X0,X1)
| ( legal(X1)
& earlier(X0,X1) ) )
& ( ~ legal(X1)
| ~ earlier(X0,X1)
| precedes(X0,X1) ) ),
inference(flattening,[],[f99]) ).
fof(f103,plain,
! [X0,X1,X2] :
( ~ min_precedes(X0,X1,X2)
| ( min_precedes(sK4(X1,X2),X1,X2)
& root(sK4(X1,X2),X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X3,sK4(X1,X2))],[f67]) ).
fof(f107,plain,
! [X0,X1,X2] :
( ~ min_precedes(X1,X2,X0)
| ( subactivity_occurrence(X2,sK6(X0,X1,X2))
& subactivity_occurrence(X1,sK6(X0,X1,X2))
& occurrence_of(sK6(X0,X1,X2),X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X3,sK6(X0,X1,X2))],[f79]) ).
fof(f111,plain,
! [X0,X1] :
( ( ~ root_occ(X0,X1)
| ? [X2] :
( root(X0,X2)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X2) ) )
& ( ! [X2] :
( ~ root(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) )
| root_occ(X0,X1) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f112,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,[],[f111]) ).
fof(f113,plain,
! [X0,X1] :
( ( ~ root_occ(X0,X1)
| ( root(X0,sK10(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK10(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,[sK10]),skolemize(X3,sK10(X0,X1))],[f112]) ).
fof(f114,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ( ! [X4] :
( ~ min_precedes(sK11(X0),X4,tptp0)
| sK13(X0) = X4
| sK12(X0) = X4 )
& min_precedes(sK12(X0),sK13(X0),tptp0)
& ( occurrence_of(sK13(X0),tptp1)
| occurrence_of(sK13(X0),tptp2) )
& min_precedes(sK11(X0),sK12(X0),tptp0)
& occurrence_of(sK12(X0),tptp4)
& root_occ(sK11(X0),X0)
& occurrence_of(sK11(X0),tptp3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12,sK13]),skolemize(X1,sK11(X0)),skolemize(X2,sK12(X0)),skolemize(X3,sK13(X0))],[f95]) ).
fof(f115,plain,
( occurrence_of(sK14,tptp0)
& ! [X1,X2] :
( ~ min_precedes(X1,X2,tptp0)
| ( ~ occurrence_of(X2,tptp1)
& ~ occurrence_of(X2,tptp2) )
| ~ root_occ(X1,sK14)
| ~ occurrence_of(X1,tptp3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X0,sK14)],[f96]) ).
fof(f120,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f54]) ).
fof(f126,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ~ atomic(X1)
| arboreal(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f127,plain,
! [X0] :
( ~ legal(X0)
| arboreal(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f129,plain,
! [X0,X1] :
( ~ precedes(X0,X1)
| legal(X1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f138,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| min_precedes(sK4(X1,X2),X1,X2) ),
inference(cnf_transformation,[],[f103]) ).
fof(f140,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| ~ root(X1,X2) ),
inference(cnf_transformation,[],[f68]) ).
fof(f141,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| precedes(X0,X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f153,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| subactivity_occurrence(X2,sK6(X0,X1,X2)) ),
inference(cnf_transformation,[],[f107]) ).
fof(f154,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| subactivity_occurrence(X1,sK6(X0,X1,X2)) ),
inference(cnf_transformation,[],[f107]) ).
fof(f155,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| occurrence_of(sK6(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f160,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,[],[f85]) ).
fof(f161,plain,
! [X2,X3,X0,X1] :
( ~ subactivity_occurrence(X1,X3)
| ~ occurrence_of(X3,X2)
| ~ min_precedes(X0,X1,X2)
| subactivity_occurrence(X0,X3) ),
inference(cnf_transformation,[],[f87]) ).
fof(f166,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| root(X0,sK10(X0,X1)) ),
inference(cnf_transformation,[],[f113]) ).
fof(f168,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| occurrence_of(X1,sK10(X0,X1)) ),
inference(cnf_transformation,[],[f113]) ).
fof(f171,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| min_precedes(sK12(X0),sK13(X0),tptp0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f172,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| occurrence_of(sK13(X0),tptp1)
| occurrence_of(sK13(X0),tptp2) ),
inference(cnf_transformation,[],[f114]) ).
fof(f173,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| min_precedes(sK11(X0),sK12(X0),tptp0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f175,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| root_occ(sK11(X0),X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f176,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| occurrence_of(sK11(X0),tptp3) ),
inference(cnf_transformation,[],[f114]) ).
fof(f182,plain,
atomic(tptp3),
inference(cnf_transformation,[],[f42]) ).
fof(f189,plain,
occurrence_of(sK14,tptp0),
inference(cnf_transformation,[],[f115]) ).
fof(f190,plain,
! [X2,X1] :
( ~ min_precedes(X1,X2,tptp0)
| ~ occurrence_of(X2,tptp1)
| ~ root_occ(X1,sK14)
| ~ occurrence_of(X1,tptp3) ),
inference(cnf_transformation,[],[f115]) ).
fof(f191,plain,
! [X2,X1] :
( ~ min_precedes(X1,X2,tptp0)
| ~ occurrence_of(X2,tptp2)
| ~ root_occ(X1,sK14)
| ~ occurrence_of(X1,tptp3) ),
inference(cnf_transformation,[],[f115]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( arboreal(X0)
| ~ atomic(X1)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_60,plain,
! [X0: $i] :
( arboreal(X0)
| ~ legal(X0) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( legal(X1)
| ~ precedes(X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i] :
( min_precedes(sK4(X1,X2),X1,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ root(X1,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i,X2: $i] :
( precedes(X0,X1)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i] :
( occurrence_of(sK6(X2,X0,X1),X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i] :
( subactivity_occurrence(X0,sK6(X2,X0,X1))
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i] :
( subactivity_occurrence(X1,sK6(X2,X0,X1))
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_93,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,[],[f160]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subactivity_occurrence(X0,X3)
| ~ subactivity_occurrence(X1,X3)
| ~ occurrence_of(X3,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i] :
( occurrence_of(X1,sK10(X0,X1))
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i] :
( root(X0,sK10(X0,X1))
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_103,plain,
! [X0: $i] :
( occurrence_of(sK11(X0),tptp3)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_104,plain,
! [X0: $i] :
( root_occ(sK11(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_106,plain,
! [X0: $i] :
( min_precedes(sK11(X0),sK12(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_107,plain,
! [X0: $i] :
( occurrence_of(sK13(X0),tptp1)
| occurrence_of(sK13(X0),tptp2)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_108,plain,
! [X0: $i] :
( min_precedes(sK12(X0),sK13(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_115,plain,
atomic(tptp3),
inference(cnf_transformation,[],[f182]) ).
tcf(c_122,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ root_occ(X0,sK14)
| ~ occurrence_of(X1,tptp2)
| ~ occurrence_of(X0,tptp3)
| ~ min_precedes(X0,X1,tptp0) ),
inference(cnf_transformation,[],[f191]) ).
tcf(c_123,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ root_occ(X0,sK14)
| ~ occurrence_of(X1,tptp1)
| ~ occurrence_of(X0,tptp3)
| ~ min_precedes(X0,X1,tptp0) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_124,negated_conjecture,
occurrence_of(sK14,tptp0),
inference(cnf_transformation,[],[f189]) ).
tcf(c_547,negated_conjecture,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( ~ root_occ(X0_iProver_occurrence_of_1,sK14)
| ~ occurrence_of(X1_iProver_occurrence_of_1,tptp1)
| ~ occurrence_of(X0_iProver_occurrence_of_1,tptp3)
| ~ min_precedes(X0_iProver_occurrence_of_1,X1_iProver_occurrence_of_1,tptp0) ),
inference(subtyping,[status(esa)],[c_123]) ).
tcf(c_548,negated_conjecture,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( ~ root_occ(X0_iProver_occurrence_of_1,sK14)
| ~ occurrence_of(X1_iProver_occurrence_of_1,tptp2)
| ~ occurrence_of(X0_iProver_occurrence_of_1,tptp3)
| ~ min_precedes(X0_iProver_occurrence_of_1,X1_iProver_occurrence_of_1,tptp0) ),
inference(subtyping,[status(esa)],[c_122]) ).
tcf(c_562,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( min_precedes(sK12(X0_iProver_occurrence_of_1),sK13(X0_iProver_occurrence_of_1),tptp0)
| ~ occurrence_of(X0_iProver_occurrence_of_1,tptp0) ),
inference(subtyping,[status(esa)],[c_108]) ).
tcf(c_563,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( occurrence_of(sK13(X0_iProver_occurrence_of_1),tptp1)
| occurrence_of(sK13(X0_iProver_occurrence_of_1),tptp2)
| ~ occurrence_of(X0_iProver_occurrence_of_1,tptp0) ),
inference(subtyping,[status(esa)],[c_107]) ).
tcf(c_564,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( min_precedes(sK11(X0_iProver_occurrence_of_1),sK12(X0_iProver_occurrence_of_1),tptp0)
| ~ occurrence_of(X0_iProver_occurrence_of_1,tptp0) ),
inference(subtyping,[status(esa)],[c_106]) ).
tcf(c_566,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( root_occ(sK11(X0_iProver_occurrence_of_1),X0_iProver_occurrence_of_1)
| ~ occurrence_of(X0_iProver_occurrence_of_1,tptp0) ),
inference(subtyping,[status(esa)],[c_104]) ).
tcf(c_567,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( occurrence_of(sK11(X0_iProver_occurrence_of_1),tptp3)
| ~ occurrence_of(X0_iProver_occurrence_of_1,tptp0) ),
inference(subtyping,[status(esa)],[c_103]) ).
tcf(c_568,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( root(X0_iProver_occurrence_of_1,sK10(X0_iProver_occurrence_of_1,X1_iProver_occurrence_of_1))
| ~ root_occ(X0_iProver_occurrence_of_1,X1_iProver_occurrence_of_1) ),
inference(subtyping,[status(esa)],[c_102]) ).
tcf(c_570,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( occurrence_of(X1_iProver_occurrence_of_1,sK10(X0_iProver_occurrence_of_1,X1_iProver_occurrence_of_1))
| ~ root_occ(X0_iProver_occurrence_of_1,X1_iProver_occurrence_of_1) ),
inference(subtyping,[status(esa)],[c_100]) ).
tcf(c_576,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X0_iProver_occurrence_of_2: iProver_occurrence_of_2,X1_iProver_occurrence_of_1: iProver_occurrence_of_1,X2_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( subactivity_occurrence(X0_iProver_occurrence_of_1,X2_iProver_occurrence_of_1)
| ~ subactivity_occurrence(X1_iProver_occurrence_of_1,X2_iProver_occurrence_of_1)
| ~ occurrence_of(X2_iProver_occurrence_of_1,X0_iProver_occurrence_of_2)
| ~ min_precedes(X0_iProver_occurrence_of_1,X1_iProver_occurrence_of_1,X0_iProver_occurrence_of_2) ),
inference(subtyping,[status(esa)],[c_94]) ).
tcf(c_577,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X0_iProver_occurrence_of_2: iProver_occurrence_of_2,X1_iProver_occurrence_of_1: iProver_occurrence_of_1,X2_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( min_precedes(X2_iProver_occurrence_of_1,X1_iProver_occurrence_of_1,X0_iProver_occurrence_of_2)
| min_precedes(X1_iProver_occurrence_of_1,X2_iProver_occurrence_of_1,X0_iProver_occurrence_of_2)
| ( X1_iProver_occurrence_of_1 = X2_iProver_occurrence_of_1 )
| ~ arboreal(X2_iProver_occurrence_of_1)
| ~ arboreal(X1_iProver_occurrence_of_1)
| ~ subactivity_occurrence(X2_iProver_occurrence_of_1,X0_iProver_occurrence_of_1)
| ~ subactivity_occurrence(X1_iProver_occurrence_of_1,X0_iProver_occurrence_of_1)
| ~ occurrence_of(X0_iProver_occurrence_of_1,X0_iProver_occurrence_of_2) ),
inference(subtyping,[status(esa)],[c_93]) ).
tcf(c_582,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X0_iProver_occurrence_of_2: iProver_occurrence_of_2,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( subactivity_occurrence(X1_iProver_occurrence_of_1,sK6(X0_iProver_occurrence_of_2,X0_iProver_occurrence_of_1,X1_iProver_occurrence_of_1))
| ~ min_precedes(X0_iProver_occurrence_of_1,X1_iProver_occurrence_of_1,X0_iProver_occurrence_of_2) ),
inference(subtyping,[status(esa)],[c_88]) ).
tcf(c_583,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X0_iProver_occurrence_of_2: iProver_occurrence_of_2,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( subactivity_occurrence(X0_iProver_occurrence_of_1,sK6(X0_iProver_occurrence_of_2,X0_iProver_occurrence_of_1,X1_iProver_occurrence_of_1))
| ~ min_precedes(X0_iProver_occurrence_of_1,X1_iProver_occurrence_of_1,X0_iProver_occurrence_of_2) ),
inference(subtyping,[status(esa)],[c_87]) ).
tcf(c_584,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X0_iProver_occurrence_of_2: iProver_occurrence_of_2,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( occurrence_of(sK6(X0_iProver_occurrence_of_2,X0_iProver_occurrence_of_1,X1_iProver_occurrence_of_1),X0_iProver_occurrence_of_2)
| ~ min_precedes(X0_iProver_occurrence_of_1,X1_iProver_occurrence_of_1,X0_iProver_occurrence_of_2) ),
inference(subtyping,[status(esa)],[c_86]) ).
tcf(c_596,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X0_iProver_occurrence_of_2: iProver_occurrence_of_2,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( precedes(X0_iProver_occurrence_of_1,X1_iProver_occurrence_of_1)
| ~ min_precedes(X0_iProver_occurrence_of_1,X1_iProver_occurrence_of_1,X0_iProver_occurrence_of_2) ),
inference(subtyping,[status(esa)],[c_74]) ).
tcf(c_597,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X0_iProver_occurrence_of_2: iProver_occurrence_of_2,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( ~ root(X1_iProver_occurrence_of_1,X0_iProver_occurrence_of_2)
| ~ min_precedes(X0_iProver_occurrence_of_1,X1_iProver_occurrence_of_1,X0_iProver_occurrence_of_2) ),
inference(subtyping,[status(esa)],[c_73]) ).
tcf(c_598,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X0_iProver_occurrence_of_2: iProver_occurrence_of_2,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( min_precedes(sK4(X1_iProver_occurrence_of_1,X0_iProver_occurrence_of_2),X1_iProver_occurrence_of_1,X0_iProver_occurrence_of_2)
| ~ min_precedes(X0_iProver_occurrence_of_1,X1_iProver_occurrence_of_1,X0_iProver_occurrence_of_2) ),
inference(subtyping,[status(esa)],[c_72]) ).
tcf(c_606,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( legal(X1_iProver_occurrence_of_1)
| ~ precedes(X0_iProver_occurrence_of_1,X1_iProver_occurrence_of_1) ),
inference(subtyping,[status(esa)],[c_64]) ).
tcf(c_610,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( arboreal(X0_iProver_occurrence_of_1)
| ~ legal(X0_iProver_occurrence_of_1) ),
inference(subtyping,[status(esa)],[c_60]) ).
tcf(c_612,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X0_iProver_occurrence_of_2: iProver_occurrence_of_2] :
( arboreal(X0_iProver_occurrence_of_1)
| ~ atomic(X0_iProver_occurrence_of_2)
| ~ occurrence_of(X0_iProver_occurrence_of_1,X0_iProver_occurrence_of_2) ),
inference(subtyping,[status(esa)],[c_58]) ).
tcf(c_617,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X0_iProver_occurrence_of_2: iProver_occurrence_of_2,X1_iProver_occurrence_of_2: iProver_occurrence_of_2] :
( ( X0_iProver_occurrence_of_2 = X1_iProver_occurrence_of_2 )
| ~ occurrence_of(X0_iProver_occurrence_of_1,X1_iProver_occurrence_of_2)
| ~ occurrence_of(X0_iProver_occurrence_of_1,X0_iProver_occurrence_of_2) ),
inference(subtyping,[status(esa)],[c_53]) ).
tcf(c_623,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] : X0_iProver_occurrence_of_1 = X0_iProver_occurrence_of_1,
theory(equality) ).
tcf(c_633,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X0_iProver_occurrence_of_2: iProver_occurrence_of_2,X1_iProver_occurrence_of_1: iProver_occurrence_of_1,X1_iProver_occurrence_of_2: iProver_occurrence_of_2] :
( root(X0_iProver_occurrence_of_1,X0_iProver_occurrence_of_2)
| ~ root(X1_iProver_occurrence_of_1,X1_iProver_occurrence_of_2)
| ( X0_iProver_occurrence_of_2 != X1_iProver_occurrence_of_2 )
| ( X0_iProver_occurrence_of_1 != X1_iProver_occurrence_of_1 ) ),
theory(equality) ).
tcf(c_642,plain,
( min_precedes(sK12(sK14),sK13(sK14),tptp0)
| ~ occurrence_of(sK14,tptp0) ),
inference(instantiation,[status(thm)],[c_562]) ).
tcf(c_643,plain,
( occurrence_of(sK13(sK14),tptp1)
| occurrence_of(sK13(sK14),tptp2)
| ~ occurrence_of(sK14,tptp0) ),
inference(instantiation,[status(thm)],[c_563]) ).
tcf(c_644,plain,
( min_precedes(sK11(sK14),sK12(sK14),tptp0)
| ~ occurrence_of(sK14,tptp0) ),
inference(instantiation,[status(thm)],[c_564]) ).
tcf(c_646,plain,
( root_occ(sK11(sK14),sK14)
| ~ occurrence_of(sK14,tptp0) ),
inference(instantiation,[status(thm)],[c_566]) ).
tcf(c_647,plain,
( occurrence_of(sK11(sK14),tptp3)
| ~ occurrence_of(sK14,tptp0) ),
inference(instantiation,[status(thm)],[c_567]) ).
tcf(c_1199,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( precedes(sK12(X0_iProver_occurrence_of_1),sK13(X0_iProver_occurrence_of_1))
| ~ min_precedes(sK12(X0_iProver_occurrence_of_1),sK13(X0_iProver_occurrence_of_1),tptp0) ),
inference(instantiation,[status(thm)],[c_596]) ).
tcf(c_1200,plain,
( precedes(sK12(sK14),sK13(sK14))
| ~ min_precedes(sK12(sK14),sK13(sK14),tptp0) ),
inference(instantiation,[status(thm)],[c_1199]) ).
tcf(c_1209,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( arboreal(X0_iProver_occurrence_of_1)
| ~ atomic(tptp3)
| ~ occurrence_of(X0_iProver_occurrence_of_1,tptp3) ),
inference(instantiation,[status(thm)],[c_612]) ).
tcf(c_1211,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( root(sK11(X0_iProver_occurrence_of_1),sK10(sK11(X0_iProver_occurrence_of_1),X0_iProver_occurrence_of_1))
| ~ root_occ(sK11(X0_iProver_occurrence_of_1),X0_iProver_occurrence_of_1) ),
inference(instantiation,[status(thm)],[c_568]) ).
tcf(c_1212,plain,
( root(sK11(sK14),sK10(sK11(sK14),sK14))
| ~ root_occ(sK11(sK14),sK14) ),
inference(instantiation,[status(thm)],[c_1211]) ).
tcf(c_1223,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( subactivity_occurrence(sK13(X0_iProver_occurrence_of_1),sK6(tptp0,sK12(X0_iProver_occurrence_of_1),sK13(X0_iProver_occurrence_of_1)))
| ~ min_precedes(sK12(X0_iProver_occurrence_of_1),sK13(X0_iProver_occurrence_of_1),tptp0) ),
inference(instantiation,[status(thm)],[c_582]) ).
tcf(c_1224,plain,
( subactivity_occurrence(sK13(sK14),sK6(tptp0,sK12(sK14),sK13(sK14)))
| ~ min_precedes(sK12(sK14),sK13(sK14),tptp0) ),
inference(instantiation,[status(thm)],[c_1223]) ).
tcf(c_1233,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( subactivity_occurrence(sK12(X0_iProver_occurrence_of_1),sK6(tptp0,sK12(X0_iProver_occurrence_of_1),sK13(X0_iProver_occurrence_of_1)))
| ~ min_precedes(sK12(X0_iProver_occurrence_of_1),sK13(X0_iProver_occurrence_of_1),tptp0) ),
inference(instantiation,[status(thm)],[c_583]) ).
tcf(c_1234,plain,
( subactivity_occurrence(sK12(sK14),sK6(tptp0,sK12(sK14),sK13(sK14)))
| ~ min_precedes(sK12(sK14),sK13(sK14),tptp0) ),
inference(instantiation,[status(thm)],[c_1233]) ).
tcf(c_1283,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( occurrence_of(X0_iProver_occurrence_of_1,sK10(sK11(X0_iProver_occurrence_of_1),X0_iProver_occurrence_of_1))
| ~ root_occ(sK11(X0_iProver_occurrence_of_1),X0_iProver_occurrence_of_1) ),
inference(instantiation,[status(thm)],[c_570]) ).
tcf(c_1284,plain,
( occurrence_of(sK14,sK10(sK11(sK14),sK14))
| ~ root_occ(sK11(sK14),sK14) ),
inference(instantiation,[status(thm)],[c_1283]) ).
tcf(c_1285,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( occurrence_of(sK6(tptp0,sK12(X0_iProver_occurrence_of_1),sK13(X0_iProver_occurrence_of_1)),tptp0)
| ~ min_precedes(sK12(X0_iProver_occurrence_of_1),sK13(X0_iProver_occurrence_of_1),tptp0) ),
inference(instantiation,[status(thm)],[c_584]) ).
tcf(c_1286,plain,
( occurrence_of(sK6(tptp0,sK12(sK14),sK13(sK14)),tptp0)
| ~ min_precedes(sK12(sK14),sK13(sK14),tptp0) ),
inference(instantiation,[status(thm)],[c_1285]) ).
tcf(c_1394,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( legal(sK13(X0_iProver_occurrence_of_1))
| ~ precedes(sK12(X0_iProver_occurrence_of_1),sK13(X0_iProver_occurrence_of_1)) ),
inference(instantiation,[status(thm)],[c_606]) ).
tcf(c_1395,plain,
( legal(sK13(sK14))
| ~ precedes(sK12(sK14),sK13(sK14)) ),
inference(instantiation,[status(thm)],[c_1394]) ).
tcf(c_1418,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( arboreal(sK11(X0_iProver_occurrence_of_1))
| ~ atomic(tptp3)
| ~ occurrence_of(sK11(X0_iProver_occurrence_of_1),tptp3) ),
inference(instantiation,[status(thm)],[c_1209]) ).
tcf(c_1419,plain,
( arboreal(sK11(sK14))
| ~ atomic(tptp3)
| ~ occurrence_of(sK11(sK14),tptp3) ),
inference(instantiation,[status(thm)],[c_1418]) ).
tcf(c_1607,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] : sK11(X0_iProver_occurrence_of_1) = sK11(X0_iProver_occurrence_of_1),
inference(instantiation,[status(thm)],[c_623]) ).
tcf(c_1609,plain,
sK11(sK14) = sK11(sK14),
inference(instantiation,[status(thm)],[c_1607]) ).
tcf(c_1886,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( arboreal(sK13(X0_iProver_occurrence_of_1))
| ~ legal(sK13(X0_iProver_occurrence_of_1)) ),
inference(instantiation,[status(thm)],[c_610]) ).
tcf(c_1889,plain,
( arboreal(sK13(sK14))
| ~ legal(sK13(sK14)) ),
inference(instantiation,[status(thm)],[c_1886]) ).
tcf(c_2034,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X0_iProver_occurrence_of_2: iProver_occurrence_of_2,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( ( X0_iProver_occurrence_of_2 = sK10(sK11(X1_iProver_occurrence_of_1),X1_iProver_occurrence_of_1) )
| ~ occurrence_of(X0_iProver_occurrence_of_1,X0_iProver_occurrence_of_2)
| ~ occurrence_of(X0_iProver_occurrence_of_1,sK10(sK11(X1_iProver_occurrence_of_1),X1_iProver_occurrence_of_1)) ),
inference(instantiation,[status(thm)],[c_617]) ).
tcf(c_2035,plain,
( ( tptp0 = sK10(sK11(sK14),sK14) )
| ~ occurrence_of(sK14,tptp0)
| ~ occurrence_of(sK14,sK10(sK11(sK14),sK14)) ),
inference(instantiation,[status(thm)],[c_2034]) ).
tcf(c_2287,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X0_iProver_occurrence_of_2: iProver_occurrence_of_2,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( root(X0_iProver_occurrence_of_1,X0_iProver_occurrence_of_2)
| ~ root(sK11(X1_iProver_occurrence_of_1),sK10(sK11(X1_iProver_occurrence_of_1),X1_iProver_occurrence_of_1))
| ( X0_iProver_occurrence_of_2 != sK10(sK11(X1_iProver_occurrence_of_1),X1_iProver_occurrence_of_1) )
| ( X0_iProver_occurrence_of_1 != sK11(X1_iProver_occurrence_of_1) ) ),
inference(instantiation,[status(thm)],[c_633]) ).
tcf(c_2373,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X0_iProver_occurrence_of_2: iProver_occurrence_of_2,X1_iProver_occurrence_of_1: iProver_occurrence_of_1,X2_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( min_precedes(X2_iProver_occurrence_of_1,sK11(X0_iProver_occurrence_of_1),X0_iProver_occurrence_of_2)
| min_precedes(sK11(X0_iProver_occurrence_of_1),X2_iProver_occurrence_of_1,X0_iProver_occurrence_of_2)
| ( X2_iProver_occurrence_of_1 = sK11(X0_iProver_occurrence_of_1) )
| ~ arboreal(X2_iProver_occurrence_of_1)
| ~ arboreal(sK11(X0_iProver_occurrence_of_1))
| ~ subactivity_occurrence(X2_iProver_occurrence_of_1,X1_iProver_occurrence_of_1)
| ~ occurrence_of(X1_iProver_occurrence_of_1,X0_iProver_occurrence_of_2)
| ~ subactivity_occurrence(sK11(X0_iProver_occurrence_of_1),X1_iProver_occurrence_of_1) ),
inference(instantiation,[status(thm)],[c_577]) ).
tcf(c_2460,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( ~ occurrence_of(X1_iProver_occurrence_of_1,tptp2)
| ~ root_occ(sK11(X0_iProver_occurrence_of_1),sK14)
| ~ occurrence_of(sK11(X0_iProver_occurrence_of_1),tptp3)
| ~ min_precedes(sK11(X0_iProver_occurrence_of_1),X1_iProver_occurrence_of_1,tptp0) ),
inference(instantiation,[status(thm)],[c_548]) ).
tcf(c_2461,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( ~ occurrence_of(X1_iProver_occurrence_of_1,tptp1)
| ~ root_occ(sK11(X0_iProver_occurrence_of_1),sK14)
| ~ occurrence_of(sK11(X0_iProver_occurrence_of_1),tptp3)
| ~ min_precedes(sK11(X0_iProver_occurrence_of_1),X1_iProver_occurrence_of_1,tptp0) ),
inference(instantiation,[status(thm)],[c_547]) ).
tcf(c_2596,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X0_iProver_occurrence_of_2: iProver_occurrence_of_2,X1_iProver_occurrence_of_1: iProver_occurrence_of_1,X2_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( min_precedes(sK13(X2_iProver_occurrence_of_1),sK11(X0_iProver_occurrence_of_1),X0_iProver_occurrence_of_2)
| min_precedes(sK11(X0_iProver_occurrence_of_1),sK13(X2_iProver_occurrence_of_1),X0_iProver_occurrence_of_2)
| ( sK13(X2_iProver_occurrence_of_1) = sK11(X0_iProver_occurrence_of_1) )
| ~ arboreal(sK13(X2_iProver_occurrence_of_1))
| ~ arboreal(sK11(X0_iProver_occurrence_of_1))
| ~ occurrence_of(X1_iProver_occurrence_of_1,X0_iProver_occurrence_of_2)
| ~ subactivity_occurrence(sK13(X2_iProver_occurrence_of_1),X1_iProver_occurrence_of_1)
| ~ subactivity_occurrence(sK11(X0_iProver_occurrence_of_1),X1_iProver_occurrence_of_1) ),
inference(instantiation,[status(thm)],[c_2373]) ).
tcf(c_2733,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X0_iProver_occurrence_of_2: iProver_occurrence_of_2] :
( root(sK11(X0_iProver_occurrence_of_1),X0_iProver_occurrence_of_2)
| ~ root(sK11(X0_iProver_occurrence_of_1),sK10(sK11(X0_iProver_occurrence_of_1),X0_iProver_occurrence_of_1))
| ( X0_iProver_occurrence_of_2 != sK10(sK11(X0_iProver_occurrence_of_1),X0_iProver_occurrence_of_1) )
| ( sK11(X0_iProver_occurrence_of_1) != sK11(X0_iProver_occurrence_of_1) ) ),
inference(instantiation,[status(thm)],[c_2287]) ).
tcf(c_2736,plain,
( root(sK11(sK14),tptp0)
| ~ root(sK11(sK14),sK10(sK11(sK14),sK14))
| ( tptp0 != sK10(sK11(sK14),sK14) )
| ( sK11(sK14) != sK11(sK14) ) ),
inference(instantiation,[status(thm)],[c_2733]) ).
tcf(c_3642,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X0_iProver_occurrence_of_2: iProver_occurrence_of_2,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( min_precedes(sK13(X1_iProver_occurrence_of_1),sK11(X0_iProver_occurrence_of_1),X0_iProver_occurrence_of_2)
| min_precedes(sK11(X0_iProver_occurrence_of_1),sK13(X1_iProver_occurrence_of_1),X0_iProver_occurrence_of_2)
| ( sK13(X1_iProver_occurrence_of_1) = sK11(X0_iProver_occurrence_of_1) )
| ~ arboreal(sK13(X1_iProver_occurrence_of_1))
| ~ arboreal(sK11(X0_iProver_occurrence_of_1))
| ~ occurrence_of(sK6(tptp0,sK12(X1_iProver_occurrence_of_1),sK13(X1_iProver_occurrence_of_1)),X0_iProver_occurrence_of_2)
| ~ subactivity_occurrence(sK13(X1_iProver_occurrence_of_1),sK6(tptp0,sK12(X1_iProver_occurrence_of_1),sK13(X1_iProver_occurrence_of_1)))
| ~ subactivity_occurrence(sK11(X0_iProver_occurrence_of_1),sK6(tptp0,sK12(X1_iProver_occurrence_of_1),sK13(X1_iProver_occurrence_of_1))) ),
inference(instantiation,[status(thm)],[c_2596]) ).
tcf(c_3643,plain,
( min_precedes(sK13(sK14),sK11(sK14),tptp0)
| min_precedes(sK11(sK14),sK13(sK14),tptp0)
| ( sK13(sK14) = sK11(sK14) )
| ~ arboreal(sK13(sK14))
| ~ arboreal(sK11(sK14))
| ~ occurrence_of(sK6(tptp0,sK12(sK14),sK13(sK14)),tptp0)
| ~ subactivity_occurrence(sK13(sK14),sK6(tptp0,sK12(sK14),sK13(sK14)))
| ~ subactivity_occurrence(sK11(sK14),sK6(tptp0,sK12(sK14),sK13(sK14))) ),
inference(instantiation,[status(thm)],[c_3642]) ).
tcf(c_4163,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X0_iProver_occurrence_of_2: iProver_occurrence_of_2,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( ~ root(sK11(X1_iProver_occurrence_of_1),X0_iProver_occurrence_of_2)
| ~ min_precedes(X0_iProver_occurrence_of_1,sK11(X1_iProver_occurrence_of_1),X0_iProver_occurrence_of_2) ),
inference(instantiation,[status(thm)],[c_597]) ).
tcf(c_5530,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( ~ occurrence_of(X0_iProver_occurrence_of_1,tptp0)
| ~ root(sK13(X0_iProver_occurrence_of_1),tptp0) ),
inference(superposition,[status(thm)],[c_562,c_597]) ).
tcf(c_5534,plain,
( ~ occurrence_of(sK14,tptp0)
| ~ root(sK13(sK14),tptp0) ),
inference(instantiation,[status(thm)],[c_5530]) ).
tcf(c_6897,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X0_iProver_occurrence_of_2: iProver_occurrence_of_2,X1_iProver_occurrence_of_1: iProver_occurrence_of_1,X2_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( subactivity_occurrence(sK11(X2_iProver_occurrence_of_1),sK6(tptp0,sK12(X0_iProver_occurrence_of_1),sK13(X0_iProver_occurrence_of_1)))
| ~ min_precedes(sK11(X2_iProver_occurrence_of_1),X1_iProver_occurrence_of_1,X0_iProver_occurrence_of_2)
| ~ subactivity_occurrence(X1_iProver_occurrence_of_1,sK6(tptp0,sK12(X0_iProver_occurrence_of_1),sK13(X0_iProver_occurrence_of_1)))
| ~ occurrence_of(sK6(tptp0,sK12(X0_iProver_occurrence_of_1),sK13(X0_iProver_occurrence_of_1)),X0_iProver_occurrence_of_2) ),
inference(instantiation,[status(thm)],[c_576]) ).
tcf(c_8586,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X0_iProver_occurrence_of_2: iProver_occurrence_of_2] :
( ~ root(sK11(X0_iProver_occurrence_of_1),X0_iProver_occurrence_of_2)
| ~ min_precedes(sK4(sK11(X0_iProver_occurrence_of_1),X0_iProver_occurrence_of_2),sK11(X0_iProver_occurrence_of_1),X0_iProver_occurrence_of_2) ),
inference(instantiation,[status(thm)],[c_4163]) ).
tcf(c_8589,plain,
( ~ root(sK11(sK14),tptp0)
| ~ min_precedes(sK4(sK11(sK14),tptp0),sK11(sK14),tptp0) ),
inference(instantiation,[status(thm)],[c_8586]) ).
tcf(c_9944,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X0_iProver_occurrence_of_2: iProver_occurrence_of_2,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( subactivity_occurrence(sK11(X1_iProver_occurrence_of_1),sK6(tptp0,sK12(X0_iProver_occurrence_of_1),sK13(X0_iProver_occurrence_of_1)))
| ~ min_precedes(sK11(X1_iProver_occurrence_of_1),sK12(X0_iProver_occurrence_of_1),X0_iProver_occurrence_of_2)
| ~ occurrence_of(sK6(tptp0,sK12(X0_iProver_occurrence_of_1),sK13(X0_iProver_occurrence_of_1)),X0_iProver_occurrence_of_2)
| ~ subactivity_occurrence(sK12(X0_iProver_occurrence_of_1),sK6(tptp0,sK12(X0_iProver_occurrence_of_1),sK13(X0_iProver_occurrence_of_1))) ),
inference(instantiation,[status(thm)],[c_6897]) ).
tcf(c_9945,plain,
( subactivity_occurrence(sK11(sK14),sK6(tptp0,sK12(sK14),sK13(sK14)))
| ~ min_precedes(sK11(sK14),sK12(sK14),tptp0)
| ~ occurrence_of(sK6(tptp0,sK12(sK14),sK13(sK14)),tptp0)
| ~ subactivity_occurrence(sK12(sK14),sK6(tptp0,sK12(sK14),sK13(sK14))) ),
inference(instantiation,[status(thm)],[c_9944]) ).
tcf(c_11742,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( ~ root_occ(sK11(X0_iProver_occurrence_of_1),sK14)
| ~ occurrence_of(sK13(X1_iProver_occurrence_of_1),tptp1)
| ~ occurrence_of(sK11(X0_iProver_occurrence_of_1),tptp3)
| ~ min_precedes(sK11(X0_iProver_occurrence_of_1),sK13(X1_iProver_occurrence_of_1),tptp0) ),
inference(instantiation,[status(thm)],[c_2461]) ).
tcf(c_11743,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( ~ root_occ(sK11(X0_iProver_occurrence_of_1),sK14)
| ~ occurrence_of(sK13(X1_iProver_occurrence_of_1),tptp2)
| ~ occurrence_of(sK11(X0_iProver_occurrence_of_1),tptp3)
| ~ min_precedes(sK11(X0_iProver_occurrence_of_1),sK13(X1_iProver_occurrence_of_1),tptp0) ),
inference(instantiation,[status(thm)],[c_2460]) ).
tcf(c_11745,plain,
( ~ root_occ(sK11(sK14),sK14)
| ~ occurrence_of(sK13(sK14),tptp2)
| ~ occurrence_of(sK11(sK14),tptp3)
| ~ min_precedes(sK11(sK14),sK13(sK14),tptp0) ),
inference(instantiation,[status(thm)],[c_11743]) ).
tcf(c_11746,plain,
( ~ root_occ(sK11(sK14),sK14)
| ~ occurrence_of(sK13(sK14),tptp1)
| ~ occurrence_of(sK11(sK14),tptp3)
| ~ min_precedes(sK11(sK14),sK13(sK14),tptp0) ),
inference(instantiation,[status(thm)],[c_11742]) ).
tcf(c_13819,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X0_iProver_occurrence_of_2: iProver_occurrence_of_2,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( root(sK13(X0_iProver_occurrence_of_1),X0_iProver_occurrence_of_2)
| ~ root(sK11(X1_iProver_occurrence_of_1),sK10(sK11(X1_iProver_occurrence_of_1),X1_iProver_occurrence_of_1))
| ( X0_iProver_occurrence_of_2 != sK10(sK11(X1_iProver_occurrence_of_1),X1_iProver_occurrence_of_1) )
| ( sK13(X0_iProver_occurrence_of_1) != sK11(X1_iProver_occurrence_of_1) ) ),
inference(instantiation,[status(thm)],[c_2287]) ).
tcf(c_13824,plain,
( root(sK13(sK14),tptp0)
| ~ root(sK11(sK14),sK10(sK11(sK14),sK14))
| ( tptp0 != sK10(sK11(sK14),sK14) )
| ( sK13(sK14) != sK11(sK14) ) ),
inference(instantiation,[status(thm)],[c_13819]) ).
tcf(c_14672,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( min_precedes(sK4(sK11(X1_iProver_occurrence_of_1),tptp0),sK11(X1_iProver_occurrence_of_1),tptp0)
| ~ min_precedes(sK13(X0_iProver_occurrence_of_1),sK11(X1_iProver_occurrence_of_1),tptp0) ),
inference(instantiation,[status(thm)],[c_598]) ).
tcf(c_14691,plain,
( min_precedes(sK4(sK11(sK14),tptp0),sK11(sK14),tptp0)
| ~ min_precedes(sK13(sK14),sK11(sK14),tptp0) ),
inference(instantiation,[status(thm)],[c_14672]) ).
tcf(c_14692,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_14691,c_13824,c_11746,c_11745,c_9945,c_8589,c_5534,c_3643,c_2736,c_2035,c_1889,c_1609,c_1419,c_1395,c_1286,c_1284,c_1234,c_1224,c_1212,c_1200,c_647,c_646,c_644,c_643,c_642,c_124,c_115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : PRO012+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.42 % Computer : n015.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Thu Sep 24 06:33:25 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.17/0.42 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.48 Running first-order theorem proving
% 0.17/0.48 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.50
% 0.17/0.50 % ======== iProver multi-core TPTP/SMT =========
% 0.17/0.50
% 0.17/0.50 % Detected problem language: tptp
% 0.26/0.52 % Proving...
% 44.61/7.05 % SZS status Started for theBenchmark.p
% 44.61/7.05 % SZS status Theorem for theBenchmark.p
% 44.61/7.05
% 44.61/7.05 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 44.61/7.05
% 44.61/7.05 % ------ iProver source info
% 44.61/7.05
% 44.61/7.05 % git: date: 2026-07-19 20:42:38 +0200
% 44.61/7.05 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 44.61/7.05 % git: non_committed_changes: false
% 44.61/7.05
% 44.61/7.05 % ------ Parsing...
% 44.61/7.05 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 44.61/7.05
% 44.61/7.05 % ------ Preprocessing...%
% 44.61/7.05
% 44.61/7.05 % ------ Preprocessing...%
% 44.61/7.05
% 44.61/7.05 % ------ Preprocessing...
% 44.61/7.05 % ------ Proving...
% 44.61/7.05 % ------ Problem Properties
% 44.61/7.05
% 44.61/7.05 %
% 44.61/7.05 % clauses 76
% 44.61/7.05 % conjectures 3
% 44.61/7.05 % EPR 45
% 44.61/7.05 % Horn 66
% 44.61/7.05 % unary 13
% 44.61/7.05 % binary 37
% 44.61/7.05 % lits 186
% 44.61/7.05 % lits eq 11
% 44.61/7.05 % fd_pure 0
% 44.61/7.05 % fd_pseudo 0
% 44.61/7.05 % fd_cond 0
% 44.61/7.05 % fd_pseudo_cond 4
% 44.61/7.05 % AC symbols 0
% 44.61/7.05
% 44.61/7.05 % ------ Input Options Time Limit: Unbounded
% 44.61/7.05
% 44.61/7.05
% 44.61/7.05 % ------
% 44.61/7.05 % Current options:
% 44.61/7.05 % ------
% 44.61/7.05
% 44.61/7.05
% 44.61/7.05 %
% 44.61/7.05
% 44.61/7.05 % ------ Proving...
% 44.61/7.05 %
% 44.61/7.05
% 44.61/7.05 % SZS status Theorem for theBenchmark.p
% 44.61/7.05
% 44.61/7.05 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 44.61/7.06
% 44.61/7.06
%------------------------------------------------------------------------------