%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PRO017+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 : n009.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 02:31:38 PM UTC 2026
% Result : Theorem 141.13s 39.53s
% Output : CNFRefutation 141.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 17
% Syntax : Number of formulae : 175 ( 37 unt; 0 def)
% Number of atoms : 659 ( 70 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 808 ( 324 ~; 337 |; 129 &)
% ( 8 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 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 : 15 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 7 con; 0-3 aty)
% Number of variables : 335 ( 0 sgn 291 !; 44 ?; 115 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( occurrence_of(X1,X0)
=> ( activity_occurrence(X1)
& activity(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos) ).
fof(f2,axiom,
! [X0] :
( activity_occurrence(X0)
=> ? [X1] :
( occurrence_of(X0,X1)
& activity(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01) ).
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(f12,axiom,
! [X0,X1,X2] :
( min_precedes(X1,X2,X0)
=> ? [X3,X4] :
( atocc(X2,X4)
& atocc(X1,X3)
& subactivity(X4,X0)
& subactivity(X3,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_11) ).
fof(f22,axiom,
! [X0,X1] :
( leaf(X0,X1)
<=> ( ~ ? [X3] : min_precedes(X0,X3,X1)
& ( ? [X2] : min_precedes(X2,X0,X1)
| root(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_21) ).
fof(f23,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/sandbox2/benchmark/theBenchmark.p',sos_22) ).
fof(f24,axiom,
! [X0,X1] :
( atocc(X0,X1)
<=> ? [X2] :
( occurrence_of(X0,X2)
& atomic(X2)
& subactivity(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_23) ).
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(f35,axiom,
! [X0,X1] :
( leaf_occ(X0,X1)
<=> ? [X2] :
( leaf(X0,X2)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_34) ).
fof(f36,axiom,
! [X0,X1] :
( ( ~ leaf_occ(X0,X1)
& arboreal(X0)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,tptp0) )
=> ? [X2,X3,X4] :
( ! [X5] :
( min_precedes(X2,X5,tptp0)
=> ( X5 = X4
| X5 = X3 ) )
& min_precedes(X3,X4,tptp0)
& ( occurrence_of(X4,tptp1)
| occurrence_of(X4,tptp2) )
& min_precedes(X2,X3,tptp0)
& occurrence_of(X3,tptp4)
& next_subocc(X0,X2,tptp0)
& occurrence_of(X2,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(f43,axiom,
tptp4 != tptp3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_42) ).
fof(f49,conjecture,
! [X0,X1] :
( ( ~ leaf_occ(X0,X1)
& arboreal(X0)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,tptp0) )
=> ? [X2,X3] :
( leaf(X3,tptp0)
& min_precedes(X2,X3,tptp0)
& ( occurrence_of(X3,tptp1)
| occurrence_of(X3,tptp2) )
& next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f50,negated_conjecture,
~ ! [X0,X1] :
( ( ~ leaf_occ(X0,X1)
& arboreal(X0)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,tptp0) )
=> ? [X2,X3] :
( leaf(X3,tptp0)
& min_precedes(X2,X3,tptp0)
& ( occurrence_of(X3,tptp1)
| occurrence_of(X3,tptp2) )
& next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp3) ) ),
inference(negated_conjecture,[status(cth)],[f49]) ).
fof(f51,plain,
! [X0,X1] :
( ~ occurrence_of(X1,X0)
| ( activity_occurrence(X1)
& activity(X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f52,plain,
! [X0] :
( ~ activity_occurrence(X0)
| ? [X1] :
( occurrence_of(X0,X1)
& activity(X1) ) ),
inference(ennf_transformation,[],[f2]) ).
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(f65,plain,
! [X0,X1,X2] :
( ~ min_precedes(X1,X2,X0)
| ? [X3,X4] :
( atocc(X2,X4)
& atocc(X1,X3)
& subactivity(X4,X0)
& subactivity(X3,X0) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f78,plain,
! [X0,X1] :
( leaf(X0,X1)
<=> ( ! [X3] : ~ min_precedes(X0,X3,X1)
& ( ? [X2] : min_precedes(X2,X0,X1)
| root(X0,X1) ) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f79,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,[],[f23]) ).
fof(f81,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(f96,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ? [X2,X3,X4] :
( ! [X5] :
( ~ min_precedes(X2,X5,tptp0)
| X5 = X4
| X5 = X3 )
& min_precedes(X3,X4,tptp0)
& ( occurrence_of(X4,tptp1)
| occurrence_of(X4,tptp2) )
& min_precedes(X2,X3,tptp0)
& occurrence_of(X3,tptp4)
& next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp3) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f97,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ? [X2,X3,X4] :
( ! [X5] :
( ~ min_precedes(X2,X5,tptp0)
| X5 = X4
| X5 = X3 )
& min_precedes(X3,X4,tptp0)
& ( occurrence_of(X4,tptp1)
| occurrence_of(X4,tptp2) )
& min_precedes(X2,X3,tptp0)
& occurrence_of(X3,tptp4)
& next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp3) ) ),
inference(flattening,[],[f96]) ).
fof(f98,plain,
? [X0,X1] :
( ~ leaf_occ(X0,X1)
& arboreal(X0)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,tptp0)
& ! [X2,X3] :
( ~ leaf(X3,tptp0)
| ~ min_precedes(X2,X3,tptp0)
| ( ~ occurrence_of(X3,tptp1)
& ~ occurrence_of(X3,tptp2) )
| ~ next_subocc(X0,X2,tptp0)
| ~ occurrence_of(X2,tptp3) ) ),
inference(ennf_transformation,[],[f50]) ).
fof(f99,plain,
? [X0,X1] :
( ~ leaf_occ(X0,X1)
& arboreal(X0)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,tptp0)
& ! [X2,X3] :
( ~ leaf(X3,tptp0)
| ~ min_precedes(X2,X3,tptp0)
| ( ~ occurrence_of(X3,tptp1)
& ~ occurrence_of(X3,tptp2) )
| ~ next_subocc(X0,X2,tptp0)
| ~ occurrence_of(X2,tptp3) ) ),
inference(flattening,[],[f98]) ).
fof(f100,plain,
! [X0] :
( ~ activity_occurrence(X0)
| ( occurrence_of(X0,sK0(X0))
& activity(sK0(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f52]) ).
fof(f101,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ( ( ~ arboreal(X0)
| atomic(X1) )
& ( ~ atomic(X1)
| arboreal(X0) ) ) ),
inference(nnf_transformation,[],[f61]) ).
fof(f104,plain,
! [X0,X1,X2] :
( ~ min_precedes(X1,X2,X0)
| ( atocc(X2,sK2(X0,X1,X2))
& atocc(X1,sK1(X0,X1,X2))
& subactivity(sK2(X0,X1,X2),X0)
& subactivity(sK1(X0,X1,X2),X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X3,sK1(X0,X1,X2)),skolemize(X4,sK2(X0,X1,X2))],[f65]) ).
fof(f107,plain,
! [X0,X1] :
( ( ~ leaf(X0,X1)
| ( ! [X3] : ~ min_precedes(X0,X3,X1)
& ( ? [X2] : min_precedes(X2,X0,X1)
| root(X0,X1) ) ) )
& ( ? [X3] : min_precedes(X0,X3,X1)
| ( ! [X2] : ~ min_precedes(X2,X0,X1)
& ~ root(X0,X1) )
| leaf(X0,X1) ) ),
inference(nnf_transformation,[],[f78]) ).
fof(f108,plain,
! [X0,X1] :
( ( ~ leaf(X0,X1)
| ( ! [X3] : ~ min_precedes(X0,X3,X1)
& ( ? [X2] : min_precedes(X2,X0,X1)
| root(X0,X1) ) ) )
& ( ? [X3] : min_precedes(X0,X3,X1)
| ( ! [X2] : ~ min_precedes(X2,X0,X1)
& ~ root(X0,X1) )
| leaf(X0,X1) ) ),
inference(flattening,[],[f107]) ).
fof(f109,plain,
! [X0,X1] :
( ( ~ leaf(X0,X1)
| ( ! [X5] : ~ min_precedes(X0,X5,X1)
& ( ? [X4] : min_precedes(X4,X0,X1)
| root(X0,X1) ) ) )
& ( ? [X3] : min_precedes(X0,X3,X1)
| ( ! [X2] : ~ min_precedes(X2,X0,X1)
& ~ root(X0,X1) )
| leaf(X0,X1) ) ),
inference(rectify,[],[f108]) ).
fof(f110,plain,
! [X0,X1] :
( ( ~ leaf(X0,X1)
| ( ! [X5] : ~ min_precedes(X0,X5,X1)
& ( min_precedes(sK6(X0,X1),X0,X1)
| root(X0,X1) ) ) )
& ( min_precedes(X0,sK5(X0,X1),X1)
| ( ! [X2] : ~ min_precedes(X2,X0,X1)
& ~ root(X0,X1) )
| leaf(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6]),skolemize(X3,sK5(X0,X1)),skolemize(X4,sK6(X0,X1))],[f109]) ).
fof(f111,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,[],[f79]) ).
fof(f112,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,[],[f111]) ).
fof(f113,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,[],[f112]) ).
fof(f114,plain,
! [X0,X1,X2] :
( ( ~ next_subocc(X0,X1,X2)
| ( ! [X4] :
( ~ min_precedes(X4,X1,X2)
| ~ min_precedes(X0,X4,X2) )
& min_precedes(X0,X1,X2) ) )
& ( ( min_precedes(sK7(X0,X1,X2),X1,X2)
& min_precedes(X0,sK7(X0,X1,X2),X2) )
| ~ min_precedes(X0,X1,X2)
| next_subocc(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X3,sK7(X0,X1,X2))],[f113]) ).
fof(f115,plain,
! [X0,X1] :
( ( ~ atocc(X0,X1)
| ? [X2] :
( occurrence_of(X0,X2)
& atomic(X2)
& subactivity(X1,X2) ) )
& ( ! [X2] :
( ~ occurrence_of(X0,X2)
| ~ atomic(X2)
| ~ subactivity(X1,X2) )
| atocc(X0,X1) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f116,plain,
! [X0,X1] :
( ( ~ atocc(X0,X1)
| ? [X3] :
( occurrence_of(X0,X3)
& atomic(X3)
& subactivity(X1,X3) ) )
& ( ! [X2] :
( ~ occurrence_of(X0,X2)
| ~ atomic(X2)
| ~ subactivity(X1,X2) )
| atocc(X0,X1) ) ),
inference(rectify,[],[f115]) ).
fof(f117,plain,
! [X0,X1] :
( ( ~ atocc(X0,X1)
| ( occurrence_of(X0,sK8(X0,X1))
& atomic(sK8(X0,X1))
& subactivity(X1,sK8(X0,X1)) ) )
& ( ! [X2] :
( ~ occurrence_of(X0,X2)
| ~ atomic(X2)
| ~ subactivity(X1,X2) )
| atocc(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X3,sK8(X0,X1))],[f116]) ).
fof(f118,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))],[f81]) ).
fof(f122,plain,
! [X0,X1] :
( ( ~ leaf_occ(X0,X1)
| ? [X2] :
( leaf(X0,X2)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X2) ) )
& ( ! [X2] :
( ~ leaf(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) )
| leaf_occ(X0,X1) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f123,plain,
! [X0,X1] :
( ( ~ leaf_occ(X0,X1)
| ? [X3] :
( leaf(X0,X3)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X3) ) )
& ( ! [X2] :
( ~ leaf(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) )
| leaf_occ(X0,X1) ) ),
inference(rectify,[],[f122]) ).
fof(f124,plain,
! [X0,X1] :
( ( ~ leaf_occ(X0,X1)
| ( leaf(X0,sK13(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK13(X0,X1)) ) )
& ( ! [X2] :
( ~ leaf(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) )
| leaf_occ(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X3,sK13(X0,X1))],[f123]) ).
fof(f125,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ( ! [X5] :
( ~ min_precedes(sK14(X0),X5,tptp0)
| sK16(X0) = X5
| sK15(X0) = X5 )
& min_precedes(sK15(X0),sK16(X0),tptp0)
& ( occurrence_of(sK16(X0),tptp1)
| occurrence_of(sK16(X0),tptp2) )
& min_precedes(sK14(X0),sK15(X0),tptp0)
& occurrence_of(sK15(X0),tptp4)
& next_subocc(X0,sK14(X0),tptp0)
& occurrence_of(sK14(X0),tptp3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15,sK16]),skolemize(X2,sK14(X0)),skolemize(X3,sK15(X0)),skolemize(X4,sK16(X0))],[f97]) ).
fof(f126,plain,
( ~ leaf_occ(sK17,sK18)
& arboreal(sK17)
& subactivity_occurrence(sK17,sK18)
& occurrence_of(sK18,tptp0)
& ! [X2,X3] :
( ~ leaf(X3,tptp0)
| ~ min_precedes(X2,X3,tptp0)
| ( ~ occurrence_of(X3,tptp1)
& ~ occurrence_of(X3,tptp2) )
| ~ next_subocc(sK17,X2,tptp0)
| ~ occurrence_of(X2,tptp3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17,sK18]),skolemize(X0,sK17),skolemize(X1,sK18)],[f99]) ).
fof(f127,plain,
! [X0,X1] :
( ~ occurrence_of(X1,X0)
| activity_occurrence(X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f129,plain,
! [X0] :
( ~ activity_occurrence(X0)
| occurrence_of(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f100]) ).
fof(f131,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f54]) ).
fof(f137,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ~ atomic(X1)
| arboreal(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f143,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| atocc(X2,sK2(X0,X1,X2)) ),
inference(cnf_transformation,[],[f104]) ).
fof(f158,plain,
! [X0,X1,X5] :
( ~ leaf(X0,X1)
| ~ min_precedes(X0,X5,X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f162,plain,
! [X2,X0,X1,X4] :
( ~ next_subocc(X0,X1,X2)
| ~ min_precedes(X4,X1,X2)
| ~ min_precedes(X0,X4,X2) ),
inference(cnf_transformation,[],[f114]) ).
fof(f163,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f114]) ).
fof(f166,plain,
! [X0,X1] :
( ~ atocc(X0,X1)
| occurrence_of(X0,sK8(X0,X1)) ),
inference(cnf_transformation,[],[f117]) ).
fof(f167,plain,
! [X0,X1] :
( ~ atocc(X0,X1)
| atomic(sK8(X0,X1)) ),
inference(cnf_transformation,[],[f117]) ).
fof(f172,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| subactivity_occurrence(X2,sK9(X0,X1,X2)) ),
inference(cnf_transformation,[],[f118]) ).
fof(f174,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| occurrence_of(sK9(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f185,plain,
! [X0,X1] :
( ~ leaf_occ(X0,X1)
| leaf(X0,sK13(X0,X1)) ),
inference(cnf_transformation,[],[f124]) ).
fof(f187,plain,
! [X0,X1] :
( ~ leaf_occ(X0,X1)
| occurrence_of(X1,sK13(X0,X1)) ),
inference(cnf_transformation,[],[f124]) ).
fof(f189,plain,
! [X0,X1,X5] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ~ min_precedes(sK14(X0),X5,tptp0)
| sK16(X0) = X5
| sK15(X0) = X5 ),
inference(cnf_transformation,[],[f125]) ).
fof(f190,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| min_precedes(sK15(X0),sK16(X0),tptp0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f192,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| min_precedes(sK14(X0),sK15(X0),tptp0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f193,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| occurrence_of(sK15(X0),tptp4) ),
inference(cnf_transformation,[],[f125]) ).
fof(f194,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| next_subocc(X0,sK14(X0),tptp0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f195,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| occurrence_of(sK14(X0),tptp3) ),
inference(cnf_transformation,[],[f125]) ).
fof(f201,plain,
atomic(tptp3),
inference(cnf_transformation,[],[f42]) ).
fof(f202,plain,
tptp3 != tptp4,
inference(cnf_transformation,[],[f43]) ).
fof(f208,plain,
~ leaf_occ(sK17,sK18),
inference(cnf_transformation,[],[f126]) ).
fof(f209,plain,
arboreal(sK17),
inference(cnf_transformation,[],[f126]) ).
fof(f210,plain,
subactivity_occurrence(sK17,sK18),
inference(cnf_transformation,[],[f126]) ).
fof(f211,plain,
occurrence_of(sK18,tptp0),
inference(cnf_transformation,[],[f126]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i] :
( activity_occurrence(X0)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_52,plain,
! [X0: $i] :
( occurrence_of(X0,sK0(X0))
| ~ activity_occurrence(X0) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( arboreal(X0)
| ~ atomic(X1)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i] :
( atocc(X1,sK2(X2,X0,X1))
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ leaf(X0,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i] :
( min_precedes(X0,X1,X2)
| ~ next_subocc(X0,X1,X2) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_87,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,[],[f162]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i] :
( atomic(sK8(X0,X1))
| ~ atocc(X0,X1) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i] :
( occurrence_of(X0,sK8(X0,X1))
| ~ atocc(X0,X1) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i] :
( occurrence_of(sK9(X2,X0,X1),X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i] :
( subactivity_occurrence(X1,sK9(X2,X0,X1))
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i] :
( occurrence_of(X1,sK13(X0,X1))
| ~ leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f187]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i] :
( leaf(X0,sK13(X0,X1))
| ~ leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f185]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i] :
( leaf_occ(X0,X1)
| occurrence_of(sK14(X0),tptp3)
| ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f195]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i] :
( leaf_occ(X0,X1)
| next_subocc(X0,sK14(X0),tptp0)
| ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f194]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i] :
( leaf_occ(X0,X1)
| occurrence_of(sK15(X0),tptp4)
| ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i] :
( leaf_occ(X0,X1)
| min_precedes(sK14(X0),sK15(X0),tptp0)
| ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f192]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i] :
( leaf_occ(X0,X1)
| min_precedes(sK15(X0),sK16(X0),tptp0)
| ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i,X2: $i] :
( leaf_occ(X0,X2)
| ( sK16(X0) = X1 )
| ( sK15(X0) = X1 )
| ~ arboreal(X0)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X0,X2)
| ~ min_precedes(sK14(X0),X1,tptp0) ),
inference(cnf_transformation,[],[f189]) ).
tcf(c_123,plain,
atomic(tptp3),
inference(cnf_transformation,[],[f201]) ).
tcf(c_124,plain,
tptp3 != tptp4,
inference(cnf_transformation,[],[f202]) ).
tcf(c_132,negated_conjecture,
occurrence_of(sK18,tptp0),
inference(cnf_transformation,[],[f211]) ).
tcf(c_133,negated_conjecture,
subactivity_occurrence(sK17,sK18),
inference(cnf_transformation,[],[f210]) ).
tcf(c_134,negated_conjecture,
arboreal(sK17),
inference(cnf_transformation,[],[f209]) ).
tcf(c_135,negated_conjecture,
~ leaf_occ(sK17,sK18),
inference(cnf_transformation,[],[f208]) ).
tcf(c_3795,plain,
! [X0: $i,X1: $i] :
( occurrence_of(sK15(X0),tptp4)
| ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ( X1 != sK18 )
| ( X0 != sK17 ) ),
inference(resolution_lifted,[status(thm)],[c_113,c_135]) ).
tcf(c_3796,plain,
( occurrence_of(sK15(sK17),tptp4)
| ~ arboreal(sK17)
| ~ subactivity_occurrence(sK17,sK18)
| ~ occurrence_of(sK18,tptp0) ),
inference(unflattening,[status(thm)],[c_3795]) ).
tcf(c_3802,plain,
! [X0: $i,X1: $i] :
( next_subocc(X0,sK14(X0),tptp0)
| ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ( X1 != sK18 )
| ( X0 != sK17 ) ),
inference(resolution_lifted,[status(thm)],[c_112,c_135]) ).
tcf(c_3803,plain,
( next_subocc(sK17,sK14(sK17),tptp0)
| ~ arboreal(sK17)
| ~ subactivity_occurrence(sK17,sK18)
| ~ occurrence_of(sK18,tptp0) ),
inference(unflattening,[status(thm)],[c_3802]) ).
tcf(c_3939,negated_conjecture,
~ leaf_occ(sK17,sK18),
inference(demodulation,[status(thm)],[c_135]) ).
tcf(c_3940,negated_conjecture,
arboreal(sK17),
inference(demodulation,[status(thm)],[c_134]) ).
tcf(c_3941,negated_conjecture,
subactivity_occurrence(sK17,sK18),
inference(demodulation,[status(thm)],[c_133]) ).
tcf(c_3942,negated_conjecture,
occurrence_of(sK18,tptp0),
inference(demodulation,[status(thm)],[c_132]) ).
tcf(c_3945,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_3949,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( occurrence_of(X0,X2)
| ~ occurrence_of(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_3957,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( next_subocc(X0,X2,X4)
| ~ next_subocc(X1,X3,X5)
| ( X4 != X5 )
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_3960,plain,
tptp0 = tptp0,
inference(instantiation,[status(thm)],[c_3945]) ).
tcf(c_5160,plain,
! [X0: $i,X1: $i] :
( ( sK0(X0) = X1 )
| ~ activity_occurrence(X0)
| ~ occurrence_of(X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_53]) ).
tcf(c_5276,plain,
! [X0: $i,X1: $i] :
( arboreal(X0)
| ~ atocc(X0,X1)
| ~ atomic(sK8(X0,X1)) ),
inference(superposition,[status(thm)],[c_91,c_58]) ).
tcf(c_6503,plain,
! [X0: $i,X1: $i] :
( leaf_occ(sK17,X1)
| ( sK16(sK17) = X0 )
| ( sK15(sK17) = X0 )
| ~ arboreal(sK17)
| ~ subactivity_occurrence(sK17,X1)
| ~ occurrence_of(X1,tptp0)
| ~ min_precedes(sK14(sK17),X0,tptp0) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_6836,plain,
( occurrence_of(sK14(sK17),tptp3)
| ~ arboreal(sK17)
| ~ subactivity_occurrence(sK17,sK18)
| ~ occurrence_of(sK18,tptp0) ),
inference(superposition,[status(thm)],[c_111,c_3939]) ).
tcf(c_6847,plain,
occurrence_of(sK14(sK17),tptp3),
inference(forward_subsumption_resolution,[status(thm)],[c_6836,c_3940,c_3941,c_3942]) ).
tcf(c_7161,plain,
( arboreal(sK14(sK17))
| ~ atomic(tptp3) ),
inference(superposition,[status(thm)],[c_6847,c_58]) ).
tcf(c_7165,plain,
arboreal(sK14(sK17)),
inference(forward_subsumption_resolution,[status(thm)],[c_7161,c_123]) ).
tcf(c_7224,plain,
( min_precedes(sK17,sK14(sK17),tptp0)
| ~ next_subocc(sK17,sK14(sK17),tptp0) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_7516,plain,
( min_precedes(sK14(sK17),sK15(sK17),tptp0)
| ~ arboreal(sK17)
| ~ subactivity_occurrence(sK17,sK18)
| ~ occurrence_of(sK18,tptp0) ),
inference(superposition,[status(thm)],[c_114,c_3939]) ).
tcf(c_7535,plain,
min_precedes(sK14(sK17),sK15(sK17),tptp0),
inference(forward_subsumption_resolution,[status(thm)],[c_7516,c_3940,c_3941,c_3942]) ).
tcf(c_7727,plain,
( min_precedes(sK15(sK17),sK16(sK17),tptp0)
| ~ arboreal(sK17)
| ~ subactivity_occurrence(sK17,sK18)
| ~ occurrence_of(sK18,tptp0) ),
inference(superposition,[status(thm)],[c_116,c_3939]) ).
tcf(c_7751,plain,
min_precedes(sK15(sK17),sK16(sK17),tptp0),
inference(forward_subsumption_resolution,[status(thm)],[c_7727,c_3940,c_3941,c_3942]) ).
tcf(c_8200,plain,
! [X0: $i] :
( leaf_occ(sK17,sK18)
| ( sK16(sK17) = X0 )
| ( sK15(sK17) = X0 )
| ~ arboreal(sK17)
| ~ subactivity_occurrence(sK17,sK18)
| ~ occurrence_of(sK18,tptp0)
| ~ min_precedes(sK14(sK17),X0,tptp0) ),
inference(instantiation,[status(thm)],[c_6503]) ).
tcf(c_8213,plain,
! [X0: $i] :
( ~ next_subocc(sK14(sK17),X0,tptp0)
| ~ min_precedes(sK15(sK17),X0,tptp0) ),
inference(superposition,[status(thm)],[c_7535,c_87]) ).
tcf(c_8434,plain,
tptp3 = tptp3,
inference(instantiation,[status(thm)],[c_3945]) ).
tcf(c_10281,plain,
( subactivity_occurrence(sK14(sK17),sK9(tptp0,sK17,sK14(sK17)))
| ~ min_precedes(sK17,sK14(sK17),tptp0) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_10283,plain,
( occurrence_of(sK9(tptp0,sK17,sK14(sK17)),tptp0)
| ~ min_precedes(sK17,sK14(sK17),tptp0) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_10632,plain,
~ next_subocc(sK14(sK17),sK16(sK17),tptp0),
inference(superposition,[status(thm)],[c_7751,c_8213]) ).
tcf(c_13049,plain,
! [X0: $i] :
( leaf_occ(sK14(sK17),X0)
| next_subocc(sK14(sK17),sK14(sK14(sK17)),tptp0)
| ~ arboreal(sK14(sK17))
| ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK14(sK17),X0) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_13051,plain,
! [X0: $i] :
( leaf_occ(sK14(sK17),X0)
| occurrence_of(sK14(sK14(sK17)),tptp3)
| ~ arboreal(sK14(sK17))
| ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK14(sK17),X0) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_14783,plain,
sK14(sK17) = sK14(sK17),
inference(instantiation,[status(thm)],[c_3945]) ).
tcf(c_16831,plain,
! [X0: $i,X1: $i] :
( ( sK0(X0) = X1 )
| ~ occurrence_of(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_5160,c_50,c_5160]) ).
tcf(c_38471,plain,
( min_precedes(sK14(sK17),sK14(sK14(sK17)),tptp0)
| ~ next_subocc(sK14(sK17),sK14(sK14(sK17)),tptp0) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_44455,plain,
! [X0: $i,X1: $i,X2: $i] :
( occurrence_of(X0,tptp3)
| ~ occurrence_of(X1,X2)
| ( tptp3 != X2 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_3949]) ).
tcf(c_67010,plain,
! [X0: $i,X1: $i] :
( occurrence_of(X0,tptp3)
| ~ occurrence_of(X1,tptp3)
| ( tptp3 != tptp3 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_44455]) ).
tcf(c_70831,plain,
( leaf_occ(sK17,sK18)
| ( sK16(sK17) = sK14(sK14(sK17)) )
| ( sK15(sK17) = sK14(sK14(sK17)) )
| ~ arboreal(sK17)
| ~ subactivity_occurrence(sK17,sK18)
| ~ occurrence_of(sK18,tptp0)
| ~ min_precedes(sK14(sK17),sK14(sK14(sK17)),tptp0) ),
inference(instantiation,[status(thm)],[c_8200]) ).
tcf(c_103126,plain,
! [X0: $i] :
( occurrence_of(X0,tptp3)
| ~ occurrence_of(sK14(sK14(sK17)),tptp3)
| ( tptp3 != tptp3 )
| ( X0 != sK14(sK14(sK17)) ) ),
inference(instantiation,[status(thm)],[c_67010]) ).
tcf(c_124656,plain,
( occurrence_of(sK15(sK17),tptp3)
| ~ occurrence_of(sK14(sK14(sK17)),tptp3)
| ( tptp3 != tptp3 )
| ( sK15(sK17) != sK14(sK14(sK17)) ) ),
inference(instantiation,[status(thm)],[c_103126]) ).
tcf(c_191193,plain,
! [X0: $i] :
( ( tptp3 = tptp4 )
| ~ occurrence_of(X0,tptp4)
| ~ occurrence_of(X0,tptp3) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_191858,plain,
( ( tptp3 = tptp4 )
| ~ occurrence_of(sK15(sK17),tptp4)
| ~ occurrence_of(sK15(sK17),tptp3) ),
inference(instantiation,[status(thm)],[c_191193]) ).
tcf(c_459280,plain,
! [X0: $i,X1: $i] :
( ( sK0(X0) = X1 )
| ~ activity_occurrence(X0)
| ~ occurrence_of(X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_53]) ).
tcf(c_459692,plain,
! [X0: $i,X1: $i] :
( arboreal(X0)
| ~ atocc(X0,X1)
| ~ atomic(sK8(X0,X1)) ),
inference(superposition,[status(thm)],[c_91,c_58]) ).
tcf(c_460240,plain,
! [X0: $i,X1: $i] :
( activity_occurrence(sK14(X0))
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1) ),
inference(superposition,[status(thm)],[c_111,c_50]) ).
tcf(c_460359,plain,
( next_subocc(sK17,sK14(sK17),tptp0)
| ~ arboreal(sK17)
| ~ subactivity_occurrence(sK17,sK18)
| ~ occurrence_of(sK18,tptp0) ),
inference(superposition,[status(thm)],[c_112,c_3939]) ).
tcf(c_460361,plain,
next_subocc(sK17,sK14(sK17),tptp0),
inference(forward_subsumption_resolution,[status(thm)],[c_460359,c_3940,c_3941,c_3942]) ).
tcf(c_460480,plain,
( min_precedes(sK14(sK17),sK15(sK17),tptp0)
| ~ arboreal(sK17)
| ~ subactivity_occurrence(sK17,sK18)
| ~ occurrence_of(sK18,tptp0) ),
inference(superposition,[status(thm)],[c_114,c_3939]) ).
tcf(c_460495,plain,
min_precedes(sK14(sK17),sK15(sK17),tptp0),
inference(forward_subsumption_resolution,[status(thm)],[c_460480,c_3940,c_3941,c_3942]) ).
tcf(c_460956,plain,
! [X0: $i,X1: $i] :
( ( sK0(X0) = X1 )
| ~ occurrence_of(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_459280,c_16831]) ).
tcf(c_460964,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK0(sK9(X2,X0,X1)) = X2 )
| ~ min_precedes(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_94,c_460956]) ).
tcf(c_460966,plain,
! [X0: $i,X1: $i] :
( ( sK13(X0,X1) = sK0(X1) )
| ~ leaf_occ(X0,X1) ),
inference(superposition,[status(thm)],[c_108,c_460956]) ).
tcf(c_461039,plain,
min_precedes(sK17,sK14(sK17),tptp0),
inference(superposition,[status(thm)],[c_460361,c_86]) ).
tcf(c_461702,plain,
~ leaf(sK14(sK17),tptp0),
inference(superposition,[status(thm)],[c_460495,c_83]) ).
tcf(c_463182,plain,
! [X0: $i,X1: $i] :
( arboreal(X0)
| ~ atocc(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_459692,c_90,c_5276]) ).
tcf(c_463189,plain,
! [X0: $i,X1: $i,X2: $i] :
( arboreal(X1)
| ~ min_precedes(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_68,c_463182]) ).
tcf(c_467861,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( next_subocc(X0,X2,X3)
| ~ next_subocc(X1,sK14(X1),tptp0)
| ( X3 != tptp0 )
| ( X2 != sK14(X1) )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_3957]) ).
tcf(c_468432,plain,
! [X0: $i,X1: $i,X2: $i] :
( activity_occurrence(sK14(X2))
| leaf_occ(X2,sK9(X0,X1,X2))
| ~ arboreal(X2)
| ~ min_precedes(X1,X2,X0)
| ~ occurrence_of(sK9(X0,X1,X2),tptp0) ),
inference(superposition,[status(thm)],[c_96,c_460240]) ).
tcf(c_473594,plain,
sK0(sK9(tptp0,sK17,sK14(sK17))) = tptp0,
inference(superposition,[status(thm)],[c_461039,c_460964]) ).
tcf(c_477499,plain,
( occurrence_of(sK9(tptp0,sK17,sK14(sK17)),tptp0)
| ~ activity_occurrence(sK9(tptp0,sK17,sK14(sK17))) ),
inference(superposition,[status(thm)],[c_473594,c_52]) ).
tcf(c_543466,plain,
! [X0: $i,X1: $i] :
( next_subocc(X0,sK16(sK17),X1)
| ~ next_subocc(sK14(sK17),sK14(sK14(sK17)),tptp0)
| ( X1 != tptp0 )
| ( X0 != sK14(sK17) )
| ( sK16(sK17) != sK14(sK14(sK17)) ) ),
inference(instantiation,[status(thm)],[c_467861]) ).
tcf(c_569191,plain,
! [X0: $i,X1: $i,X2: $i] :
( activity_occurrence(sK14(X2))
| leaf_occ(X2,sK9(X0,X1,X2))
| ~ min_precedes(X1,X2,X0)
| ~ occurrence_of(sK9(X0,X1,X2),tptp0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_468432,c_463189]) ).
tcf(c_572261,plain,
! [X0: $i] :
( next_subocc(sK14(sK17),sK16(sK17),X0)
| ~ next_subocc(sK14(sK17),sK14(sK14(sK17)),tptp0)
| ( X0 != tptp0 )
| ( sK16(sK17) != sK14(sK14(sK17)) )
| ( sK14(sK17) != sK14(sK17) ) ),
inference(instantiation,[status(thm)],[c_543466]) ).
tcf(c_572262,plain,
( next_subocc(sK14(sK17),sK16(sK17),tptp0)
| ~ next_subocc(sK14(sK17),sK14(sK14(sK17)),tptp0)
| ( tptp0 != tptp0 )
| ( sK16(sK17) != sK14(sK14(sK17)) )
| ( sK14(sK17) != sK14(sK17) ) ),
inference(instantiation,[status(thm)],[c_572261]) ).
tcf(c_642625,plain,
! [X0: $i] :
( leaf_occ(sK14(sK17),X0)
| occurrence_of(sK14(sK14(sK17)),tptp3)
| ~ arboreal(sK14(sK17))
| ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK14(sK17),X0) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_642626,plain,
! [X0: $i] :
( leaf_occ(sK14(sK17),X0)
| ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK14(sK17),X0) ),
inference(global_subsumption_just,[status(thm)],[c_642625,c_134,c_133,c_132,c_135,c_124,c_3796,c_3960,c_7165,c_8434,c_10632,c_13051,c_13049,c_14783,c_38471,c_70831,c_124656,c_191858,c_572262]) ).
tcf(c_646385,plain,
( leaf_occ(sK14(sK17),sK9(tptp0,sK17,sK14(sK17)))
| ~ occurrence_of(sK9(tptp0,sK17,sK14(sK17)),tptp0)
| ~ subactivity_occurrence(sK14(sK17),sK9(tptp0,sK17,sK14(sK17))) ),
inference(instantiation,[status(thm)],[c_642626]) ).
tcf(c_692869,plain,
occurrence_of(sK9(tptp0,sK17,sK14(sK17)),tptp0),
inference(global_subsumption_just,[status(thm)],[c_477499,c_134,c_133,c_132,c_3803,c_7224,c_10283]) ).
tcf(c_692915,plain,
( activity_occurrence(sK14(sK14(sK17)))
| leaf_occ(sK14(sK17),sK9(tptp0,sK17,sK14(sK17)))
| ~ min_precedes(sK17,sK14(sK17),tptp0) ),
inference(superposition,[status(thm)],[c_692869,c_569191]) ).
tcf(c_692927,plain,
( activity_occurrence(sK14(sK14(sK17)))
| leaf_occ(sK14(sK17),sK9(tptp0,sK17,sK14(sK17))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_692915,c_461039]) ).
tcf(c_697911,plain,
leaf_occ(sK14(sK17),sK9(tptp0,sK17,sK14(sK17))),
inference(global_subsumption_just,[status(thm)],[c_692927,c_134,c_133,c_132,c_3803,c_7224,c_10283,c_10281,c_646385]) ).
tcf(c_697918,plain,
sK13(sK14(sK17),sK9(tptp0,sK17,sK14(sK17))) = sK0(sK9(tptp0,sK17,sK14(sK17))),
inference(superposition,[status(thm)],[c_697911,c_460966]) ).
tcf(c_697924,plain,
sK13(sK14(sK17),sK9(tptp0,sK17,sK14(sK17))) = tptp0,
inference(light_normalisation,[status(thm)],[c_697918,c_473594]) ).
tcf(c_699668,plain,
( leaf(sK14(sK17),tptp0)
| ~ leaf_occ(sK14(sK17),sK9(tptp0,sK17,sK14(sK17))) ),
inference(superposition,[status(thm)],[c_697924,c_110]) ).
tcf(c_699705,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_699668,c_461702,c_697911]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO017+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n009.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 06:32:58 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 141.13/39.53 % SZS status Started for theBenchmark.p
% 141.13/39.53 % SZS status Theorem for theBenchmark.p
% 141.13/39.53
% 141.13/39.53 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 141.13/39.53
% 141.13/39.53 % ------ iProver source info
% 141.13/39.53
% 141.13/39.53 % git: date: 2026-07-19 20:42:38 +0200
% 141.13/39.53 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 141.13/39.53 % git: non_committed_changes: false
% 141.13/39.53
% 141.13/39.53 % ------ Parsing...
% 141.13/39.53 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 141.13/39.53
% 141.13/39.53 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 141.13/39.53
% 141.13/39.53 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 141.13/39.53
% 141.13/39.53 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 141.13/39.53 % ------ Proving...
% 141.13/39.53 % ------ Problem Properties
% 141.13/39.53
% 141.13/39.53 %
% 141.13/39.53 % clauses 87
% 141.13/39.53 % conjectures 6
% 141.13/39.53 % EPR 51
% 141.13/39.53 % Horn 67
% 141.13/39.53 % unary 16
% 141.13/39.53 % binary 34
% 141.13/39.53 % lits 234
% 141.13/39.53 % lits eq 11
% 141.13/39.53 % fd_pure 0
% 141.13/39.53 % fd_pseudo 0
% 141.13/39.53 % fd_cond 0
% 141.13/39.53 % fd_pseudo_cond 4
% 141.13/39.53 % AC symbols 0
% 141.13/39.53
% 141.13/39.53 % ------ Schedule dynamic 5 is on
% 141.13/39.53
% 141.13/39.53 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 141.13/39.53
% 141.13/39.53
% 141.13/39.53 % ------
% 141.13/39.53 % Current options:
% 141.13/39.53 % ------
% 141.13/39.53
% 141.13/39.53
% 141.13/39.53 %
% 141.13/39.53
% 141.13/39.53 % ------ Proving...
% 141.13/39.53 % Proof_search_loop: time out after: 9391 full_loop iterations
% 141.13/39.53
% 141.13/39.53 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 141.13/39.53
% 141.13/39.53
% 141.13/39.53 % ------
% 141.13/39.53 % Current options:
% 141.13/39.53 % ------
% 141.13/39.53
% 141.13/39.53
% 141.13/39.53 %
% 141.13/39.53
% 141.13/39.53 % ------ Proving...
% 141.13/39.53 % Proof_search_loop: time out after: 12339 full_loop iterations
% 141.13/39.53
% 141.13/39.53 % ------ Option_1: Negative Selections Time Limit: 35.
% 141.13/39.53
% 141.13/39.53
% 141.13/39.53 % ------
% 141.13/39.53 % Current options:
% 141.13/39.53 % ------
% 141.13/39.53
% 141.13/39.53
% 141.13/39.53 %
% 141.13/39.53
% 141.13/39.53 % ------ Proving...
% 141.13/39.53 %
% 141.13/39.53
% 141.13/39.53 % SZS status Theorem for theBenchmark.p
% 141.13/39.53
% 141.13/39.53 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 141.13/39.53
% 141.13/39.53
%------------------------------------------------------------------------------