%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PRO012+3 : 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 : n018.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 38.00s 6.30s
% Output : CNFRefutation 38.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 145 ( 9 unt; 0 def)
% Number of atoms : 484 ( 59 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 612 ( 273 ~; 270 |; 59 &)
% ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 3 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 298 ( 0 sgn 277 !; 21 ?; 159 :)
% 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(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(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(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,X1,X2,X3] :
( ( root_occ(X1,X2)
& root_occ(X0,X2)
& occurrence_of(X2,X3) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_35) ).
fof(f50,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_49) ).
fof(f63,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(f64,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)],[f63]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(ennf_transformation,[],[f3]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(flattening,[],[f68]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ~ min_precedes(X0,X1,X2)
| ? [X3] :
( min_precedes(X3,X1,X2)
& root(X3,X2) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f97,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(f104,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(f105,plain,
! [X0,X1,X2,X3] :
( ~ subactivity_occurrence(X1,X3)
| ~ occurrence_of(X3,X2)
| ~ min_precedes(X0,X1,X2)
| subactivity_occurrence(X0,X3) ),
inference(flattening,[],[f104]) ).
fof(f112,plain,
! [X0,X1,X2,X3] :
( ~ root_occ(X1,X2)
| ~ root_occ(X0,X2)
| ~ occurrence_of(X2,X3)
| X0 = X1 ),
inference(ennf_transformation,[],[f36]) ).
fof(f113,plain,
! [X0,X1,X2,X3] :
( ~ root_occ(X1,X2)
| ~ root_occ(X0,X2)
| ~ occurrence_of(X2,X3)
| X0 = X1 ),
inference(flattening,[],[f112]) ).
fof(f138,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,[],[f50]) ).
fof(f139,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,[],[f138]) ).
fof(f140,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,[],[f64]) ).
fof(f147,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))],[f82]) ).
fof(f156,plain,
! [X0,X1,X2] :
( ~ min_precedes(X1,X2,X0)
| ( subactivity_occurrence(X2,sK9(X0,X1,X2))
& subactivity_occurrence(X1,sK9(X0,X1,X2))
& occurrence_of(sK9(X0,X1,X2),X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X3,sK9(X0,X1,X2))],[f97]) ).
fof(f160,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(f161,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,[],[f160]) ).
fof(f162,plain,
! [X0,X1] :
( ( ~ root_occ(X0,X1)
| ( root(X0,sK13(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK13(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,[sK13]),skolemize(X3,sK13(X0,X1))],[f161]) ).
fof(f167,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ( ! [X4] :
( ~ min_precedes(sK16(X0),X4,tptp0)
| sK18(X0) = X4
| sK17(X0) = X4 )
& min_precedes(sK17(X0),sK18(X0),tptp0)
& ( occurrence_of(sK18(X0),tptp1)
| occurrence_of(sK18(X0),tptp2) )
& min_precedes(sK16(X0),sK17(X0),tptp0)
& occurrence_of(sK17(X0),tptp4)
& root_occ(sK16(X0),X0)
& occurrence_of(sK16(X0),tptp3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17,sK18]),skolemize(X1,sK16(X0)),skolemize(X2,sK17(X0)),skolemize(X3,sK18(X0))],[f139]) ).
fof(f168,plain,
( occurrence_of(sK19,tptp0)
& ! [X1,X2] :
( ~ min_precedes(X1,X2,tptp0)
| ( ~ occurrence_of(X2,tptp1)
& ~ occurrence_of(X2,tptp2) )
| ~ root_occ(X1,sK19)
| ~ occurrence_of(X1,tptp3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X0,sK19)],[f140]) ).
fof(f173,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f69]) ).
fof(f191,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| min_precedes(sK4(X1,X2),X1,X2) ),
inference(cnf_transformation,[],[f147]) ).
fof(f192,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| root(sK4(X1,X2),X2) ),
inference(cnf_transformation,[],[f147]) ).
fof(f212,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| subactivity_occurrence(X2,sK9(X0,X1,X2)) ),
inference(cnf_transformation,[],[f156]) ).
fof(f213,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| subactivity_occurrence(X1,sK9(X0,X1,X2)) ),
inference(cnf_transformation,[],[f156]) ).
fof(f214,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| occurrence_of(sK9(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f220,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,[],[f105]) ).
fof(f225,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| root(X0,sK13(X0,X1)) ),
inference(cnf_transformation,[],[f162]) ).
fof(f227,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| occurrence_of(X1,sK13(X0,X1)) ),
inference(cnf_transformation,[],[f162]) ).
fof(f228,plain,
! [X2,X0,X1] :
( ~ root(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2)
| root_occ(X0,X1) ),
inference(cnf_transformation,[],[f162]) ).
fof(f233,plain,
! [X2,X3,X0,X1] :
( ~ root_occ(X1,X2)
| ~ root_occ(X0,X2)
| ~ occurrence_of(X2,X3)
| X0 = X1 ),
inference(cnf_transformation,[],[f113]) ).
fof(f250,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| min_precedes(sK17(X0),sK18(X0),tptp0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f251,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| occurrence_of(sK18(X0),tptp1)
| occurrence_of(sK18(X0),tptp2) ),
inference(cnf_transformation,[],[f167]) ).
fof(f252,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| min_precedes(sK16(X0),sK17(X0),tptp0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f254,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| root_occ(sK16(X0),X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f255,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| occurrence_of(sK16(X0),tptp3) ),
inference(cnf_transformation,[],[f167]) ).
fof(f268,plain,
occurrence_of(sK19,tptp0),
inference(cnf_transformation,[],[f168]) ).
fof(f269,plain,
! [X2,X1] :
( ~ min_precedes(X1,X2,tptp0)
| ~ occurrence_of(X2,tptp1)
| ~ root_occ(X1,sK19)
| ~ occurrence_of(X1,tptp3) ),
inference(cnf_transformation,[],[f168]) ).
fof(f270,plain,
! [X2,X1] :
( ~ min_precedes(X1,X2,tptp0)
| ~ occurrence_of(X2,tptp2)
| ~ root_occ(X1,sK19)
| ~ occurrence_of(X1,tptp3) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i] :
( root(sK4(X1,X2),X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f192]) ).
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,[],[f191]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i,X2: $i] :
( occurrence_of(sK9(X2,X0,X1),X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f214]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i,X2: $i] :
( subactivity_occurrence(X0,sK9(X2,X0,X1))
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f213]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i] :
( subactivity_occurrence(X1,sK9(X2,X0,X1))
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f212]) ).
tcf(c_100,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,[],[f220]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i] :
( root_occ(X2,X0)
| ~ subactivity_occurrence(X2,X0)
| ~ root(X2,X1)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f228]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i] :
( occurrence_of(X1,sK13(X0,X1))
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f227]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i] :
( root(X0,sK13(X0,X1))
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f225]) ).
tcf(c_113,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,[],[f233]) ).
tcf(c_129,plain,
! [X0: $i] :
( occurrence_of(sK16(X0),tptp3)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f255]) ).
tcf(c_130,plain,
! [X0: $i] :
( root_occ(sK16(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f254]) ).
tcf(c_132,plain,
! [X0: $i] :
( min_precedes(sK16(X0),sK17(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f252]) ).
tcf(c_133,plain,
! [X0: $i] :
( occurrence_of(sK18(X0),tptp1)
| occurrence_of(sK18(X0),tptp2)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f251]) ).
tcf(c_134,plain,
! [X0: $i] :
( min_precedes(sK17(X0),sK18(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f250]) ).
tcf(c_148,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ root_occ(X0,sK19)
| ~ occurrence_of(X1,tptp2)
| ~ occurrence_of(X0,tptp3)
| ~ min_precedes(X0,X1,tptp0) ),
inference(cnf_transformation,[],[f270]) ).
tcf(c_149,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ root_occ(X0,sK19)
| ~ occurrence_of(X1,tptp1)
| ~ occurrence_of(X0,tptp3)
| ~ min_precedes(X0,X1,tptp0) ),
inference(cnf_transformation,[],[f269]) ).
tcf(c_150,negated_conjecture,
occurrence_of(sK19,tptp0),
inference(cnf_transformation,[],[f268]) ).
tcf(c_783,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,sK19)
| ~ 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_149]) ).
tcf(c_784,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,sK19)
| ~ 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_148]) ).
tcf(c_798,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( min_precedes(sK17(X0_iProver_occurrence_of_1),sK18(X0_iProver_occurrence_of_1),tptp0)
| ~ occurrence_of(X0_iProver_occurrence_of_1,tptp0) ),
inference(subtyping,[status(esa)],[c_134]) ).
tcf(c_799,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( occurrence_of(sK18(X0_iProver_occurrence_of_1),tptp1)
| occurrence_of(sK18(X0_iProver_occurrence_of_1),tptp2)
| ~ occurrence_of(X0_iProver_occurrence_of_1,tptp0) ),
inference(subtyping,[status(esa)],[c_133]) ).
tcf(c_800,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( min_precedes(sK16(X0_iProver_occurrence_of_1),sK17(X0_iProver_occurrence_of_1),tptp0)
| ~ occurrence_of(X0_iProver_occurrence_of_1,tptp0) ),
inference(subtyping,[status(esa)],[c_132]) ).
tcf(c_802,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( root_occ(sK16(X0_iProver_occurrence_of_1),X0_iProver_occurrence_of_1)
| ~ occurrence_of(X0_iProver_occurrence_of_1,tptp0) ),
inference(subtyping,[status(esa)],[c_130]) ).
tcf(c_803,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( occurrence_of(sK16(X0_iProver_occurrence_of_1),tptp3)
| ~ occurrence_of(X0_iProver_occurrence_of_1,tptp0) ),
inference(subtyping,[status(esa)],[c_129]) ).
tcf(c_819,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] :
( ( X2_iProver_occurrence_of_1 = X1_iProver_occurrence_of_1 )
| ~ root_occ(X2_iProver_occurrence_of_1,X0_iProver_occurrence_of_1)
| ~ root_occ(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_113]) ).
tcf(c_824,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,sK13(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_108]) ).
tcf(c_826,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,sK13(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_106]) ).
tcf(c_827,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_occ(X1_iProver_occurrence_of_1,X0_iProver_occurrence_of_1)
| ~ subactivity_occurrence(X1_iProver_occurrence_of_1,X0_iProver_occurrence_of_1)
| ~ root(X1_iProver_occurrence_of_1,X0_iProver_occurrence_of_2)
| ~ occurrence_of(X0_iProver_occurrence_of_1,X0_iProver_occurrence_of_2) ),
inference(subtyping,[status(esa)],[c_105]) ).
tcf(c_832,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_100]) ).
tcf(c_838,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,sK9(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_94]) ).
tcf(c_839,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,sK9(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_93]) ).
tcf(c_840,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(sK9(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_92]) ).
tcf(c_860,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_861,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(sK4(X1_iProver_occurrence_of_1,X0_iProver_occurrence_of_2),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_71]) ).
tcf(c_879,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_885,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] : X0_iProver_occurrence_of_1 = X0_iProver_occurrence_of_1,
theory(equality) ).
tcf(c_886,plain,
! [X0_iProver_occurrence_of_2: iProver_occurrence_of_2] : X0_iProver_occurrence_of_2 = X0_iProver_occurrence_of_2,
theory(equality) ).
tcf(c_890,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] :
( occurrence_of(X0_iProver_occurrence_of_1,X0_iProver_occurrence_of_2)
| ~ occurrence_of(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_895,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_898,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X1_iProver_occurrence_of_1: iProver_occurrence_of_1,X2_iProver_occurrence_of_1: iProver_occurrence_of_1,X3_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( root_occ(X0_iProver_occurrence_of_1,X2_iProver_occurrence_of_1)
| ~ root_occ(X1_iProver_occurrence_of_1,X3_iProver_occurrence_of_1)
| ( X2_iProver_occurrence_of_1 != X3_iProver_occurrence_of_1 )
| ( X0_iProver_occurrence_of_1 != X1_iProver_occurrence_of_1 ) ),
theory(equality) ).
tcf(c_901,plain,
sK19 = sK19,
inference(instantiation,[status(thm)],[c_885]) ).
tcf(c_906,plain,
( min_precedes(sK17(sK19),sK18(sK19),tptp0)
| ~ occurrence_of(sK19,tptp0) ),
inference(instantiation,[status(thm)],[c_798]) ).
tcf(c_907,plain,
( occurrence_of(sK18(sK19),tptp1)
| occurrence_of(sK18(sK19),tptp2)
| ~ occurrence_of(sK19,tptp0) ),
inference(instantiation,[status(thm)],[c_799]) ).
tcf(c_908,plain,
( min_precedes(sK16(sK19),sK17(sK19),tptp0)
| ~ occurrence_of(sK19,tptp0) ),
inference(instantiation,[status(thm)],[c_800]) ).
tcf(c_910,plain,
( root_occ(sK16(sK19),sK19)
| ~ occurrence_of(sK19,tptp0) ),
inference(instantiation,[status(thm)],[c_802]) ).
tcf(c_911,plain,
( occurrence_of(sK16(sK19),tptp3)
| ~ occurrence_of(sK19,tptp0) ),
inference(instantiation,[status(thm)],[c_803]) ).
tcf(c_1692,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( root(sK16(X0_iProver_occurrence_of_1),sK13(sK16(X0_iProver_occurrence_of_1),X0_iProver_occurrence_of_1))
| ~ root_occ(sK16(X0_iProver_occurrence_of_1),X0_iProver_occurrence_of_1) ),
inference(instantiation,[status(thm)],[c_824]) ).
tcf(c_1693,plain,
( root(sK16(sK19),sK13(sK16(sK19),sK19))
| ~ root_occ(sK16(sK19),sK19) ),
inference(instantiation,[status(thm)],[c_1692]) ).
tcf(c_1740,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( occurrence_of(X0_iProver_occurrence_of_1,sK13(sK16(X0_iProver_occurrence_of_1),X0_iProver_occurrence_of_1))
| ~ root_occ(sK16(X0_iProver_occurrence_of_1),X0_iProver_occurrence_of_1) ),
inference(instantiation,[status(thm)],[c_826]) ).
tcf(c_1741,plain,
( occurrence_of(sK19,sK13(sK16(sK19),sK19))
| ~ root_occ(sK16(sK19),sK19) ),
inference(instantiation,[status(thm)],[c_1740]) ).
tcf(c_1750,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( min_precedes(sK4(sK18(X0_iProver_occurrence_of_1),tptp0),sK18(X0_iProver_occurrence_of_1),tptp0)
| ~ min_precedes(sK17(X0_iProver_occurrence_of_1),sK18(X0_iProver_occurrence_of_1),tptp0) ),
inference(instantiation,[status(thm)],[c_860]) ).
tcf(c_1751,plain,
( min_precedes(sK4(sK18(sK19),tptp0),sK18(sK19),tptp0)
| ~ min_precedes(sK17(sK19),sK18(sK19),tptp0) ),
inference(instantiation,[status(thm)],[c_1750]) ).
tcf(c_1754,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( root(sK4(sK18(X0_iProver_occurrence_of_1),tptp0),tptp0)
| ~ min_precedes(sK17(X0_iProver_occurrence_of_1),sK18(X0_iProver_occurrence_of_1),tptp0) ),
inference(instantiation,[status(thm)],[c_861]) ).
tcf(c_1755,plain,
( root(sK4(sK18(sK19),tptp0),tptp0)
| ~ min_precedes(sK17(sK19),sK18(sK19),tptp0) ),
inference(instantiation,[status(thm)],[c_1754]) ).
tcf(c_2066,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( occurrence_of(sK9(tptp0,sK4(sK18(X0_iProver_occurrence_of_1),tptp0),sK18(X0_iProver_occurrence_of_1)),tptp0)
| ~ min_precedes(sK4(sK18(X0_iProver_occurrence_of_1),tptp0),sK18(X0_iProver_occurrence_of_1),tptp0) ),
inference(instantiation,[status(thm)],[c_840]) ).
tcf(c_2070,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( subactivity_occurrence(sK4(sK18(X0_iProver_occurrence_of_1),tptp0),sK9(tptp0,sK4(sK18(X0_iProver_occurrence_of_1),tptp0),sK18(X0_iProver_occurrence_of_1)))
| ~ min_precedes(sK4(sK18(X0_iProver_occurrence_of_1),tptp0),sK18(X0_iProver_occurrence_of_1),tptp0) ),
inference(instantiation,[status(thm)],[c_839]) ).
tcf(c_2071,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( subactivity_occurrence(sK18(X0_iProver_occurrence_of_1),sK9(tptp0,sK4(sK18(X0_iProver_occurrence_of_1),tptp0),sK18(X0_iProver_occurrence_of_1)))
| ~ min_precedes(sK4(sK18(X0_iProver_occurrence_of_1),tptp0),sK18(X0_iProver_occurrence_of_1),tptp0) ),
inference(instantiation,[status(thm)],[c_838]) ).
tcf(c_2074,plain,
( subactivity_occurrence(sK18(sK19),sK9(tptp0,sK4(sK18(sK19),tptp0),sK18(sK19)))
| ~ min_precedes(sK4(sK18(sK19),tptp0),sK18(sK19),tptp0) ),
inference(instantiation,[status(thm)],[c_2071]) ).
tcf(c_2075,plain,
( subactivity_occurrence(sK4(sK18(sK19),tptp0),sK9(tptp0,sK4(sK18(sK19),tptp0),sK18(sK19)))
| ~ min_precedes(sK4(sK18(sK19),tptp0),sK18(sK19),tptp0) ),
inference(instantiation,[status(thm)],[c_2070]) ).
tcf(c_2079,plain,
( occurrence_of(sK9(tptp0,sK4(sK18(sK19),tptp0),sK18(sK19)),tptp0)
| ~ min_precedes(sK4(sK18(sK19),tptp0),sK18(sK19),tptp0) ),
inference(instantiation,[status(thm)],[c_2066]) ).
tcf(c_2321,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] : sK16(X0_iProver_occurrence_of_1) = sK16(X0_iProver_occurrence_of_1),
inference(instantiation,[status(thm)],[c_885]) ).
tcf(c_2323,plain,
sK16(sK19) = sK16(sK19),
inference(instantiation,[status(thm)],[c_2321]) ).
tcf(c_2519,plain,
tptp3 = tptp3,
inference(instantiation,[status(thm)],[c_886]) ).
tcf(c_2587,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 = sK13(sK16(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,sK13(sK16(X1_iProver_occurrence_of_1),X1_iProver_occurrence_of_1)) ),
inference(instantiation,[status(thm)],[c_879]) ).
tcf(c_2588,plain,
( ( tptp0 = sK13(sK16(sK19),sK19) )
| ~ occurrence_of(sK19,tptp0)
| ~ occurrence_of(sK19,sK13(sK16(sK19),sK19)) ),
inference(instantiation,[status(thm)],[c_2587]) ).
tcf(c_2730,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X1_iProver_occurrence_of_1: iProver_occurrence_of_1,X2_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( root_occ(X0_iProver_occurrence_of_1,X2_iProver_occurrence_of_1)
| ~ root_occ(sK16(X1_iProver_occurrence_of_1),X1_iProver_occurrence_of_1)
| ( X2_iProver_occurrence_of_1 != X1_iProver_occurrence_of_1 )
| ( X0_iProver_occurrence_of_1 != sK16(X1_iProver_occurrence_of_1) ) ),
inference(instantiation,[status(thm)],[c_898]) ).
tcf(c_2772,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(X0_iProver_occurrence_of_1,tptp3)
| ~ occurrence_of(X1_iProver_occurrence_of_1,X0_iProver_occurrence_of_2)
| ( tptp3 != X0_iProver_occurrence_of_2 )
| ( X0_iProver_occurrence_of_1 != X1_iProver_occurrence_of_1 ) ),
inference(instantiation,[status(thm)],[c_890]) ).
tcf(c_2797,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(sK16(X1_iProver_occurrence_of_1),sK13(sK16(X1_iProver_occurrence_of_1),X1_iProver_occurrence_of_1))
| ( X0_iProver_occurrence_of_2 != sK13(sK16(X1_iProver_occurrence_of_1),X1_iProver_occurrence_of_1) )
| ( X0_iProver_occurrence_of_1 != sK16(X1_iProver_occurrence_of_1) ) ),
inference(instantiation,[status(thm)],[c_895]) ).
tcf(c_2940,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( root_occ(sK4(sK18(X0_iProver_occurrence_of_1),tptp0),X1_iProver_occurrence_of_1)
| ~ occurrence_of(X1_iProver_occurrence_of_1,tptp0)
| ~ root(sK4(sK18(X0_iProver_occurrence_of_1),tptp0),tptp0)
| ~ subactivity_occurrence(sK4(sK18(X0_iProver_occurrence_of_1),tptp0),X1_iProver_occurrence_of_1) ),
inference(instantiation,[status(thm)],[c_827]) ).
tcf(c_3028,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] :
( ( X2_iProver_occurrence_of_1 = sK16(X0_iProver_occurrence_of_1) )
| ~ root_occ(X2_iProver_occurrence_of_1,X1_iProver_occurrence_of_1)
| ~ occurrence_of(X1_iProver_occurrence_of_1,X0_iProver_occurrence_of_2)
| ~ root_occ(sK16(X0_iProver_occurrence_of_1),X1_iProver_occurrence_of_1) ),
inference(instantiation,[status(thm)],[c_819]) ).
tcf(c_3175,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( occurrence_of(X0_iProver_occurrence_of_1,tptp3)
| ~ occurrence_of(X1_iProver_occurrence_of_1,tptp3)
| ( tptp3 != tptp3 )
| ( X0_iProver_occurrence_of_1 != X1_iProver_occurrence_of_1 ) ),
inference(instantiation,[status(thm)],[c_2772]) ).
tcf(c_3773,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( root_occ(sK4(sK18(X0_iProver_occurrence_of_1),tptp0),sK9(tptp0,sK4(sK18(X0_iProver_occurrence_of_1),tptp0),sK18(X0_iProver_occurrence_of_1)))
| ~ root(sK4(sK18(X0_iProver_occurrence_of_1),tptp0),tptp0)
| ~ occurrence_of(sK9(tptp0,sK4(sK18(X0_iProver_occurrence_of_1),tptp0),sK18(X0_iProver_occurrence_of_1)),tptp0)
| ~ subactivity_occurrence(sK4(sK18(X0_iProver_occurrence_of_1),tptp0),sK9(tptp0,sK4(sK18(X0_iProver_occurrence_of_1),tptp0),sK18(X0_iProver_occurrence_of_1))) ),
inference(instantiation,[status(thm)],[c_2940]) ).
tcf(c_3774,plain,
( root_occ(sK4(sK18(sK19),tptp0),sK9(tptp0,sK4(sK18(sK19),tptp0),sK18(sK19)))
| ~ root(sK4(sK18(sK19),tptp0),tptp0)
| ~ occurrence_of(sK9(tptp0,sK4(sK18(sK19),tptp0),sK18(sK19)),tptp0)
| ~ subactivity_occurrence(sK4(sK18(sK19),tptp0),sK9(tptp0,sK4(sK18(sK19),tptp0),sK18(sK19))) ),
inference(instantiation,[status(thm)],[c_3773]) ).
tcf(c_4170,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X0_iProver_occurrence_of_2: iProver_occurrence_of_2] :
( root(sK16(X0_iProver_occurrence_of_1),X0_iProver_occurrence_of_2)
| ~ root(sK16(X0_iProver_occurrence_of_1),sK13(sK16(X0_iProver_occurrence_of_1),X0_iProver_occurrence_of_1))
| ( X0_iProver_occurrence_of_2 != sK13(sK16(X0_iProver_occurrence_of_1),X0_iProver_occurrence_of_1) )
| ( sK16(X0_iProver_occurrence_of_1) != sK16(X0_iProver_occurrence_of_1) ) ),
inference(instantiation,[status(thm)],[c_2797]) ).
tcf(c_4173,plain,
( root(sK16(sK19),tptp0)
| ~ root(sK16(sK19),sK13(sK16(sK19),sK19))
| ( tptp0 != sK13(sK16(sK19),sK19) )
| ( sK16(sK19) != sK16(sK19) ) ),
inference(instantiation,[status(thm)],[c_4170]) ).
tcf(c_4753,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] :
( ( sK4(sK18(X0_iProver_occurrence_of_1),tptp0) = sK16(X1_iProver_occurrence_of_1) )
| ~ occurrence_of(sK9(tptp0,sK4(sK18(X0_iProver_occurrence_of_1),tptp0),sK18(X0_iProver_occurrence_of_1)),X0_iProver_occurrence_of_2)
| ~ root_occ(sK16(X1_iProver_occurrence_of_1),sK9(tptp0,sK4(sK18(X0_iProver_occurrence_of_1),tptp0),sK18(X0_iProver_occurrence_of_1)))
| ~ root_occ(sK4(sK18(X0_iProver_occurrence_of_1),tptp0),sK9(tptp0,sK4(sK18(X0_iProver_occurrence_of_1),tptp0),sK18(X0_iProver_occurrence_of_1))) ),
inference(instantiation,[status(thm)],[c_3028]) ).
tcf(c_4754,plain,
( ( sK4(sK18(sK19),tptp0) = sK16(sK19) )
| ~ occurrence_of(sK9(tptp0,sK4(sK18(sK19),tptp0),sK18(sK19)),tptp0)
| ~ root_occ(sK16(sK19),sK9(tptp0,sK4(sK18(sK19),tptp0),sK18(sK19)))
| ~ root_occ(sK4(sK18(sK19),tptp0),sK9(tptp0,sK4(sK18(sK19),tptp0),sK18(sK19))) ),
inference(instantiation,[status(thm)],[c_4753]) ).
tcf(c_5062,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( occurrence_of(X0_iProver_occurrence_of_1,tptp3)
| ~ occurrence_of(sK16(X1_iProver_occurrence_of_1),tptp3)
| ( tptp3 != tptp3 )
| ( X0_iProver_occurrence_of_1 != sK16(X1_iProver_occurrence_of_1) ) ),
inference(instantiation,[status(thm)],[c_3175]) ).
tcf(c_5818,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(X2_iProver_occurrence_of_1,sK9(tptp0,sK4(sK18(X0_iProver_occurrence_of_1),tptp0),sK18(X0_iProver_occurrence_of_1)))
| ~ min_precedes(X2_iProver_occurrence_of_1,X1_iProver_occurrence_of_1,X0_iProver_occurrence_of_2)
| ~ subactivity_occurrence(X1_iProver_occurrence_of_1,sK9(tptp0,sK4(sK18(X0_iProver_occurrence_of_1),tptp0),sK18(X0_iProver_occurrence_of_1)))
| ~ occurrence_of(sK9(tptp0,sK4(sK18(X0_iProver_occurrence_of_1),tptp0),sK18(X0_iProver_occurrence_of_1)),X0_iProver_occurrence_of_2) ),
inference(instantiation,[status(thm)],[c_832]) ).
tcf(c_8721,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( subactivity_occurrence(sK17(X0_iProver_occurrence_of_1),sK9(tptp0,sK4(sK18(X1_iProver_occurrence_of_1),tptp0),sK18(X1_iProver_occurrence_of_1)))
| ~ min_precedes(sK17(X0_iProver_occurrence_of_1),sK18(X0_iProver_occurrence_of_1),tptp0)
| ~ occurrence_of(sK9(tptp0,sK4(sK18(X1_iProver_occurrence_of_1),tptp0),sK18(X1_iProver_occurrence_of_1)),tptp0)
| ~ subactivity_occurrence(sK18(X0_iProver_occurrence_of_1),sK9(tptp0,sK4(sK18(X1_iProver_occurrence_of_1),tptp0),sK18(X1_iProver_occurrence_of_1))) ),
inference(instantiation,[status(thm)],[c_5818]) ).
tcf(c_8722,plain,
( subactivity_occurrence(sK17(sK19),sK9(tptp0,sK4(sK18(sK19),tptp0),sK18(sK19)))
| ~ min_precedes(sK17(sK19),sK18(sK19),tptp0)
| ~ occurrence_of(sK9(tptp0,sK4(sK18(sK19),tptp0),sK18(sK19)),tptp0)
| ~ subactivity_occurrence(sK18(sK19),sK9(tptp0,sK4(sK18(sK19),tptp0),sK18(sK19))) ),
inference(instantiation,[status(thm)],[c_8721]) ).
tcf(c_8723,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( subactivity_occurrence(sK16(X0_iProver_occurrence_of_1),sK9(tptp0,sK4(sK18(X1_iProver_occurrence_of_1),tptp0),sK18(X1_iProver_occurrence_of_1)))
| ~ min_precedes(sK16(X0_iProver_occurrence_of_1),sK17(X0_iProver_occurrence_of_1),tptp0)
| ~ occurrence_of(sK9(tptp0,sK4(sK18(X1_iProver_occurrence_of_1),tptp0),sK18(X1_iProver_occurrence_of_1)),tptp0)
| ~ subactivity_occurrence(sK17(X0_iProver_occurrence_of_1),sK9(tptp0,sK4(sK18(X1_iProver_occurrence_of_1),tptp0),sK18(X1_iProver_occurrence_of_1))) ),
inference(instantiation,[status(thm)],[c_5818]) ).
tcf(c_8724,plain,
( subactivity_occurrence(sK16(sK19),sK9(tptp0,sK4(sK18(sK19),tptp0),sK18(sK19)))
| ~ min_precedes(sK16(sK19),sK17(sK19),tptp0)
| ~ occurrence_of(sK9(tptp0,sK4(sK18(sK19),tptp0),sK18(sK19)),tptp0)
| ~ subactivity_occurrence(sK17(sK19),sK9(tptp0,sK4(sK18(sK19),tptp0),sK18(sK19))) ),
inference(instantiation,[status(thm)],[c_8723]) ).
tcf(c_9930,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_occ(sK16(X0_iProver_occurrence_of_1),X1_iProver_occurrence_of_1)
| ~ occurrence_of(X1_iProver_occurrence_of_1,X0_iProver_occurrence_of_2)
| ~ subactivity_occurrence(sK16(X0_iProver_occurrence_of_1),X1_iProver_occurrence_of_1)
| ~ root(sK16(X0_iProver_occurrence_of_1),X0_iProver_occurrence_of_2) ),
inference(instantiation,[status(thm)],[c_827]) ).
tcf(c_13317,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X1_iProver_occurrence_of_1: iProver_occurrence_of_1,X2_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( root_occ(sK4(sK18(X0_iProver_occurrence_of_1),tptp0),X2_iProver_occurrence_of_1)
| ~ root_occ(sK16(X1_iProver_occurrence_of_1),X1_iProver_occurrence_of_1)
| ( X2_iProver_occurrence_of_1 != X1_iProver_occurrence_of_1 )
| ( sK4(sK18(X0_iProver_occurrence_of_1),tptp0) != sK16(X1_iProver_occurrence_of_1) ) ),
inference(instantiation,[status(thm)],[c_2730]) ).
tcf(c_13320,plain,
( root_occ(sK4(sK18(sK19),tptp0),sK19)
| ~ root_occ(sK16(sK19),sK19)
| ( sK19 != sK19 )
| ( sK4(sK18(sK19),tptp0) != sK16(sK19) ) ),
inference(instantiation,[status(thm)],[c_13317]) ).
tcf(c_16277,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_occ(sK16(X0_iProver_occurrence_of_1),sK9(tptp0,sK4(sK18(X1_iProver_occurrence_of_1),tptp0),sK18(X1_iProver_occurrence_of_1)))
| ~ root(sK16(X0_iProver_occurrence_of_1),X0_iProver_occurrence_of_2)
| ~ occurrence_of(sK9(tptp0,sK4(sK18(X1_iProver_occurrence_of_1),tptp0),sK18(X1_iProver_occurrence_of_1)),X0_iProver_occurrence_of_2)
| ~ subactivity_occurrence(sK16(X0_iProver_occurrence_of_1),sK9(tptp0,sK4(sK18(X1_iProver_occurrence_of_1),tptp0),sK18(X1_iProver_occurrence_of_1))) ),
inference(instantiation,[status(thm)],[c_9930]) ).
tcf(c_16278,plain,
( root_occ(sK16(sK19),sK9(tptp0,sK4(sK18(sK19),tptp0),sK18(sK19)))
| ~ root(sK16(sK19),tptp0)
| ~ occurrence_of(sK9(tptp0,sK4(sK18(sK19),tptp0),sK18(sK19)),tptp0)
| ~ subactivity_occurrence(sK16(sK19),sK9(tptp0,sK4(sK18(sK19),tptp0),sK18(sK19))) ),
inference(instantiation,[status(thm)],[c_16277]) ).
tcf(c_18009,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( occurrence_of(sK4(sK18(X0_iProver_occurrence_of_1),tptp0),tptp3)
| ~ occurrence_of(sK16(X1_iProver_occurrence_of_1),tptp3)
| ( tptp3 != tptp3 )
| ( sK4(sK18(X0_iProver_occurrence_of_1),tptp0) != sK16(X1_iProver_occurrence_of_1) ) ),
inference(instantiation,[status(thm)],[c_5062]) ).
tcf(c_18015,plain,
( occurrence_of(sK4(sK18(sK19),tptp0),tptp3)
| ~ occurrence_of(sK16(sK19),tptp3)
| ( tptp3 != tptp3 )
| ( sK4(sK18(sK19),tptp0) != sK16(sK19) ) ),
inference(instantiation,[status(thm)],[c_18009]) ).
tcf(c_18926,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(sK4(sK18(X0_iProver_occurrence_of_1),tptp0),sK19)
| ~ occurrence_of(sK4(sK18(X0_iProver_occurrence_of_1),tptp0),tptp3)
| ~ min_precedes(sK4(sK18(X0_iProver_occurrence_of_1),tptp0),X1_iProver_occurrence_of_1,tptp0) ),
inference(instantiation,[status(thm)],[c_784]) ).
tcf(c_18927,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(sK4(sK18(X0_iProver_occurrence_of_1),tptp0),sK19)
| ~ occurrence_of(sK4(sK18(X0_iProver_occurrence_of_1),tptp0),tptp3)
| ~ min_precedes(sK4(sK18(X0_iProver_occurrence_of_1),tptp0),X1_iProver_occurrence_of_1,tptp0) ),
inference(instantiation,[status(thm)],[c_783]) ).
tcf(c_19899,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( ~ occurrence_of(sK18(X0_iProver_occurrence_of_1),tptp2)
| ~ root_occ(sK4(sK18(X0_iProver_occurrence_of_1),tptp0),sK19)
| ~ occurrence_of(sK4(sK18(X0_iProver_occurrence_of_1),tptp0),tptp3)
| ~ min_precedes(sK4(sK18(X0_iProver_occurrence_of_1),tptp0),sK18(X0_iProver_occurrence_of_1),tptp0) ),
inference(instantiation,[status(thm)],[c_18926]) ).
tcf(c_19900,plain,
( ~ occurrence_of(sK18(sK19),tptp2)
| ~ root_occ(sK4(sK18(sK19),tptp0),sK19)
| ~ occurrence_of(sK4(sK18(sK19),tptp0),tptp3)
| ~ min_precedes(sK4(sK18(sK19),tptp0),sK18(sK19),tptp0) ),
inference(instantiation,[status(thm)],[c_19899]) ).
tcf(c_19903,plain,
! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
( ~ occurrence_of(sK18(X0_iProver_occurrence_of_1),tptp1)
| ~ root_occ(sK4(sK18(X0_iProver_occurrence_of_1),tptp0),sK19)
| ~ occurrence_of(sK4(sK18(X0_iProver_occurrence_of_1),tptp0),tptp3)
| ~ min_precedes(sK4(sK18(X0_iProver_occurrence_of_1),tptp0),sK18(X0_iProver_occurrence_of_1),tptp0) ),
inference(instantiation,[status(thm)],[c_18927]) ).
tcf(c_19904,plain,
( ~ occurrence_of(sK18(sK19),tptp1)
| ~ root_occ(sK4(sK18(sK19),tptp0),sK19)
| ~ occurrence_of(sK4(sK18(sK19),tptp0),tptp3)
| ~ min_precedes(sK4(sK18(sK19),tptp0),sK18(sK19),tptp0) ),
inference(instantiation,[status(thm)],[c_19903]) ).
tcf(c_19905,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_19904,c_19900,c_18015,c_16278,c_13320,c_8724,c_8722,c_4754,c_4173,c_3774,c_2588,c_2519,c_2323,c_2079,c_2075,c_2074,c_1755,c_1751,c_1741,c_1693,c_911,c_910,c_908,c_907,c_906,c_901,c_150]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO012+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n018.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Thu Sep 24 06:32:04 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 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
% 0.12/0.41
% 0.12/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.41
% 0.12/0.41 % Detected problem language: tptp
% 0.12/0.42 % Proving...
% 38.00/6.30 % SZS status Started for theBenchmark.p
% 38.00/6.30 % SZS status Theorem for theBenchmark.p
% 38.00/6.30
% 38.00/6.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 38.00/6.30
% 38.00/6.30 % ------ iProver source info
% 38.00/6.30
% 38.00/6.30 % git: date: 2026-07-19 20:42:38 +0200
% 38.00/6.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 38.00/6.30 % git: non_committed_changes: false
% 38.00/6.30
% 38.00/6.30 % ------ Parsing...
% 38.00/6.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 38.00/6.30
% 38.00/6.30 % ------ Preprocessing...%
% 38.00/6.30
% 38.00/6.30 % ------ Preprocessing...%
% 38.00/6.30
% 38.00/6.30 % ------ Preprocessing...
% 38.00/6.30 % ------ Proving...
% 38.00/6.30 % ------ Problem Properties
% 38.00/6.30
% 38.00/6.30 %
% 38.00/6.30 % clauses 102
% 38.00/6.30 % conjectures 3
% 38.00/6.30 % EPR 62
% 38.00/6.30 % Horn 79
% 38.00/6.30 % unary 13
% 38.00/6.30 % binary 44
% 38.00/6.30 % lits 280
% 38.00/6.30 % lits eq 20
% 38.00/6.30 % fd_pure 0
% 38.00/6.30 % fd_pseudo 0
% 38.00/6.30 % fd_cond 0
% 38.00/6.30 % fd_pseudo_cond 13
% 38.00/6.30 % AC symbols 0
% 38.00/6.30
% 38.00/6.30 % ------ Input Options Time Limit: Unbounded
% 38.00/6.30
% 38.00/6.30
% 38.00/6.30 % ------
% 38.00/6.30 % Current options:
% 38.00/6.30 % ------
% 38.00/6.30
% 38.00/6.30
% 38.00/6.30 %
% 38.00/6.30
% 38.00/6.30 % ------ Proving...
% 38.00/6.30 %
% 38.00/6.30
% 38.00/6.30 % SZS status Theorem for theBenchmark.p
% 38.00/6.30
% 38.00/6.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 38.00/6.30
% 38.00/6.30
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