%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PRO002+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : 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 02:31:31 PM UTC 2026
% Result : Theorem 20.60s 4.69s
% Output : CNFRefutation 29.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 26
% Syntax : Number of formulae : 303 ( 42 unt; 0 def)
% Number of atoms : 930 ( 125 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 1105 ( 478 ~; 479 |; 114 &)
% ( 7 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-5 aty)
% Number of functors : 22 ( 22 usr; 7 con; 0-3 aty)
% Number of variables : 660 ( 0 sgn 607 !; 53 ?; 241 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ( ~ atomic(X0)
& occurrence_of(X1,X0) )
=> ? [X2] :
( subactivity_occurrence(X2,X1)
& root(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos) ).
fof(f2,axiom,
! [X0,X1,X2,X3,X4] :
( ( X2 != X4
& min_precedes(X3,X2,X0)
& subactivity_occurrence(X2,X1)
& leaf_occ(X4,X1)
& root_occ(X3,X1)
& occurrence_of(X1,X0) )
=> min_precedes(X2,X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_01) ).
fof(f4,axiom,
! [X0,X1] :
( occurrence_of(X1,X0)
=> ( activity_occurrence(X1)
& activity(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( ( subactivity_occurrence(X3,X1)
& subactivity_occurrence(X2,X1)
& arboreal(X3)
& arboreal(X2)
& occurrence_of(X1,X0) )
=> ( X2 = X3
| min_precedes(X3,X2,X0)
| min_precedes(X2,X3,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).
fof(f6,axiom,
! [X0,X1] :
( root(X1,X0)
=> ? [X2] :
( atocc(X1,X2)
& subactivity(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_05) ).
fof(f7,axiom,
! [X0,X1,X2] :
( min_precedes(X1,X2,X0)
=> ? [X3] :
( subactivity_occurrence(X2,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_06) ).
fof(f9,axiom,
! [X0,X1,X2] :
( ( occurrence_of(X0,X2)
& occurrence_of(X0,X1) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_08) ).
fof(f11,axiom,
! [X0,X1,X2] :
( ( root_occ(X1,X0)
& occurrence_of(X0,X2) )
=> ~ ? [X3] : min_precedes(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_10) ).
fof(f13,axiom,
! [X0] :
( activity_occurrence(X0)
=> ? [X1] :
( occurrence_of(X0,X1)
& activity(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_12) ).
fof(f14,axiom,
! [X0] :
( legal(X0)
=> arboreal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_13) ).
fof(f15,axiom,
! [X0,X1] :
( atocc(X0,X1)
<=> ? [X2] :
( occurrence_of(X0,X2)
& atomic(X2)
& subactivity(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_14) ).
fof(f17,axiom,
! [X0,X1] :
( occurrence_of(X0,X1)
=> ( arboreal(X0)
<=> atomic(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_16) ).
fof(f18,axiom,
! [X0,X1] :
( root(X0,X1)
=> legal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_17) ).
fof(f19,axiom,
! [X0,X1] :
( leaf_occ(X0,X1)
<=> ? [X2] :
( leaf(X0,X2)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_18) ).
fof(f20,axiom,
! [X0,X1] :
( root_occ(X0,X1)
<=> ? [X2] :
( root(X0,X2)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_19) ).
fof(f23,axiom,
! [X0,X1,X2] :
( min_precedes(X0,X1,X2)
=> ~ root(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_22) ).
fof(f24,axiom,
! [X0,X1,X2] :
( min_precedes(X0,X1,X2)
=> ? [X3] :
( min_precedes(X3,X1,X2)
& root(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_23) ).
fof(f27,axiom,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
<=> ( ~ ? [X3] :
( min_precedes(X3,X1,X2)
& min_precedes(X0,X3,X2) )
& min_precedes(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_26) ).
fof(f28,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/sandbox/benchmark/theBenchmark.p',sos_27) ).
fof(f30,axiom,
! [X0,X1,X2,X3] :
( ( root_occ(X1,X2)
& root_occ(X0,X2)
& occurrence_of(X2,X3) )
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_29) ).
fof(f33,axiom,
! [X0] :
( occurrence_of(X0,tptp0)
=> ? [X1,X2] :
( next_subocc(X1,X2,tptp0)
& leaf_occ(X2,X0)
& ( occurrence_of(X2,tptp2)
| occurrence_of(X2,tptp3) )
& root_occ(X1,X0)
& occurrence_of(X1,tptp4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).
fof(f47,axiom,
! [X0,X1,X2,X3,X4] :
( send_message(X0,X1,X2,X3,X4)
=> ( X0 != tptp2
& X0 != tptp3
& X0 != tptp4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_46) ).
fof(f48,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( occurrence_of(X5,X0)
& send_message(X0,X1,X2,X3,X4) )
=> min_precedes(X3,X5,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_47) ).
fof(f49,axiom,
! [X0,X1,X2] :
( tptp1(X0,X1,X2)
=> ( root(X2,X1)
& ~ atomic(X1)
& ~ atomic(X0)
& activity(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_48) ).
fof(f50,axiom,
! [X0,X1,X2,X3] :
( ( occurrence_of(X3,X0)
& tptp1(X0,X1,X2) )
=> ? [X4,X5,X6,X7] :
( root_occ(X7,X3)
& occurrence_of(X7,X4)
& send_message(X4,X5,X6,X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_49) ).
fof(f52,conjecture,
~ ? [X0,X1,X2] :
( occurrence_of(X2,X0)
& tptp1(X0,tptp0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f53,negated_conjecture,
~ ~ ? [X0,X1,X2] :
( occurrence_of(X2,X0)
& tptp1(X0,tptp0,X1) ),
inference(negated_conjecture,[status(cth)],[f52]) ).
fof(f54,plain,
? [X0,X1,X2] :
( occurrence_of(X2,X0)
& tptp1(X0,tptp0,X1) ),
inference(flattening,[],[f53]) ).
fof(f55,plain,
! [X0,X1] :
( atocc(X0,X1)
=> ? [X2] :
( occurrence_of(X0,X2)
& atomic(X2)
& subactivity(X1,X2) ) ),
inference(unused_predicate_definition_removal,[],[f15]) ).
fof(f56,plain,
! [X0,X1] :
( atocc(X0,X1)
=> ? [X2] :
( occurrence_of(X0,X2)
& atomic(X2) ) ),
inference(pure_predicate_removal,[],[f55]) ).
fof(f57,plain,
! [X0,X1] :
( root(X1,X0)
=> ? [X2] : atocc(X1,X2) ),
inference(pure_predicate_removal,[],[f6]) ).
fof(f58,plain,
! [X0] :
( activity_occurrence(X0)
=> ? [X1] : occurrence_of(X0,X1) ),
inference(pure_predicate_removal,[],[f13]) ).
fof(f59,plain,
! [X0,X1] :
( occurrence_of(X1,X0)
=> activity_occurrence(X1) ),
inference(pure_predicate_removal,[],[f4]) ).
fof(f60,plain,
! [X0,X1,X2] :
( tptp1(X0,X1,X2)
=> ( root(X2,X1)
& ~ atomic(X1)
& ~ atomic(X0) ) ),
inference(pure_predicate_removal,[],[f49]) ).
fof(f63,plain,
! [X0,X1] :
( atomic(X0)
| ~ occurrence_of(X1,X0)
| ? [X2] :
( subactivity_occurrence(X2,X1)
& root(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f64,plain,
! [X0,X1] :
( atomic(X0)
| ~ occurrence_of(X1,X0)
| ? [X2] :
( subactivity_occurrence(X2,X1)
& root(X2,X0) ) ),
inference(flattening,[],[f63]) ).
fof(f65,plain,
! [X0,X1,X2,X3,X4] :
( X2 = X4
| ~ min_precedes(X3,X2,X0)
| ~ subactivity_occurrence(X2,X1)
| ~ leaf_occ(X4,X1)
| ~ root_occ(X3,X1)
| ~ occurrence_of(X1,X0)
| min_precedes(X2,X4,X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f66,plain,
! [X0,X1,X2,X3,X4] :
( X2 = X4
| ~ min_precedes(X3,X2,X0)
| ~ subactivity_occurrence(X2,X1)
| ~ leaf_occ(X4,X1)
| ~ root_occ(X3,X1)
| ~ occurrence_of(X1,X0)
| min_precedes(X2,X4,X0) ),
inference(flattening,[],[f65]) ).
fof(f69,plain,
! [X0,X1] :
( ~ occurrence_of(X1,X0)
| activity_occurrence(X1) ),
inference(ennf_transformation,[],[f59]) ).
fof(f70,plain,
! [X0,X1,X2,X3] :
( ~ subactivity_occurrence(X3,X1)
| ~ subactivity_occurrence(X2,X1)
| ~ arboreal(X3)
| ~ arboreal(X2)
| ~ occurrence_of(X1,X0)
| X2 = X3
| min_precedes(X3,X2,X0)
| min_precedes(X2,X3,X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f71,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,[],[f70]) ).
fof(f72,plain,
! [X0,X1] :
( ~ root(X1,X0)
| ? [X2] : atocc(X1,X2) ),
inference(ennf_transformation,[],[f57]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ~ min_precedes(X1,X2,X0)
| ? [X3] :
( subactivity_occurrence(X2,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X0) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f76,plain,
! [X0,X1,X2] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(ennf_transformation,[],[f9]) ).
fof(f77,plain,
! [X0,X1,X2] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(flattening,[],[f76]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ~ root_occ(X1,X0)
| ~ occurrence_of(X0,X2)
| ! [X3] : ~ min_precedes(X3,X1,X2) ),
inference(ennf_transformation,[],[f11]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ~ root_occ(X1,X0)
| ~ occurrence_of(X0,X2)
| ! [X3] : ~ min_precedes(X3,X1,X2) ),
inference(flattening,[],[f80]) ).
fof(f83,plain,
! [X0] :
( ~ activity_occurrence(X0)
| ? [X1] : occurrence_of(X0,X1) ),
inference(ennf_transformation,[],[f58]) ).
fof(f84,plain,
! [X0] :
( ~ legal(X0)
| arboreal(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f85,plain,
! [X0,X1] :
( ~ atocc(X0,X1)
| ? [X2] :
( occurrence_of(X0,X2)
& atomic(X2) ) ),
inference(ennf_transformation,[],[f56]) ).
fof(f87,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ( arboreal(X0)
<=> atomic(X1) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f88,plain,
! [X0,X1] :
( ~ root(X0,X1)
| legal(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ~ min_precedes(X0,X1,X2)
| ~ root(X1,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f91,plain,
! [X0,X1,X2] :
( ~ min_precedes(X0,X1,X2)
| ? [X3] :
( min_precedes(X3,X1,X2)
& root(X3,X2) ) ),
inference(ennf_transformation,[],[f24]) ).
fof(f94,plain,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
<=> ( ! [X3] :
( ~ min_precedes(X3,X1,X2)
| ~ min_precedes(X0,X3,X2) )
& min_precedes(X0,X1,X2) ) ),
inference(ennf_transformation,[],[f27]) ).
fof(f95,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,[],[f28]) ).
fof(f96,plain,
! [X0,X1,X2,X3] :
( ~ subactivity_occurrence(X1,X3)
| ~ occurrence_of(X3,X2)
| ~ min_precedes(X0,X1,X2)
| subactivity_occurrence(X0,X3) ),
inference(flattening,[],[f95]) ).
fof(f99,plain,
! [X0,X1,X2,X3] :
( ~ root_occ(X1,X2)
| ~ root_occ(X0,X2)
| ~ occurrence_of(X2,X3)
| X0 = X1 ),
inference(ennf_transformation,[],[f30]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( ~ root_occ(X1,X2)
| ~ root_occ(X0,X2)
| ~ occurrence_of(X2,X3)
| X0 = X1 ),
inference(flattening,[],[f99]) ).
fof(f105,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ? [X1,X2] :
( next_subocc(X1,X2,tptp0)
& leaf_occ(X2,X0)
& ( occurrence_of(X2,tptp2)
| occurrence_of(X2,tptp3) )
& root_occ(X1,X0)
& occurrence_of(X1,tptp4) ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f107,plain,
! [X0,X1,X2,X3,X4] :
( ~ send_message(X0,X1,X2,X3,X4)
| ( X0 != tptp2
& X0 != tptp3
& X0 != tptp4 ) ),
inference(ennf_transformation,[],[f47]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ occurrence_of(X5,X0)
| ~ send_message(X0,X1,X2,X3,X4)
| min_precedes(X3,X5,X4) ),
inference(ennf_transformation,[],[f48]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ occurrence_of(X5,X0)
| ~ send_message(X0,X1,X2,X3,X4)
| min_precedes(X3,X5,X4) ),
inference(flattening,[],[f108]) ).
fof(f110,plain,
! [X0,X1,X2] :
( ~ tptp1(X0,X1,X2)
| ( root(X2,X1)
& ~ atomic(X1)
& ~ atomic(X0) ) ),
inference(ennf_transformation,[],[f60]) ).
fof(f111,plain,
! [X0,X1,X2,X3] :
( ~ occurrence_of(X3,X0)
| ~ tptp1(X0,X1,X2)
| ? [X4,X5,X6,X7] :
( root_occ(X7,X3)
& occurrence_of(X7,X4)
& send_message(X4,X5,X6,X2,X1) ) ),
inference(ennf_transformation,[],[f50]) ).
fof(f112,plain,
! [X0,X1,X2,X3] :
( ~ occurrence_of(X3,X0)
| ~ tptp1(X0,X1,X2)
| ? [X4,X5,X6,X7] :
( root_occ(X7,X3)
& occurrence_of(X7,X4)
& send_message(X4,X5,X6,X2,X1) ) ),
inference(flattening,[],[f111]) ).
fof(f113,plain,
! [X0,X1] :
( atomic(X0)
| ~ occurrence_of(X1,X0)
| ( subactivity_occurrence(sK0(X0,X1),X1)
& root(sK0(X0,X1),X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f64]) ).
fof(f114,plain,
! [X0,X1] :
( ~ root(X1,X0)
| atocc(X1,sK1(X1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X1))],[f72]) ).
fof(f115,plain,
! [X0,X1,X2] :
( ~ min_precedes(X1,X2,X0)
| ( subactivity_occurrence(X2,sK2(X0,X1,X2))
& subactivity_occurrence(X1,sK2(X0,X1,X2))
& occurrence_of(sK2(X0,X1,X2),X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X3,sK2(X0,X1,X2))],[f73]) ).
fof(f117,plain,
! [X0] :
( ~ activity_occurrence(X0)
| occurrence_of(X0,sK4(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X1,sK4(X0))],[f83]) ).
fof(f118,plain,
! [X0,X1] :
( ~ atocc(X0,X1)
| ( occurrence_of(X0,sK5(X0))
& atomic(sK5(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0))],[f85]) ).
fof(f123,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ( ( ~ arboreal(X0)
| atomic(X1) )
& ( ~ atomic(X1)
| arboreal(X0) ) ) ),
inference(nnf_transformation,[],[f87]) ).
fof(f124,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,[],[f19]) ).
fof(f125,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,[],[f124]) ).
fof(f126,plain,
! [X0,X1] :
( ( ~ leaf_occ(X0,X1)
| ( leaf(X0,sK8(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK8(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,[sK8]),skolemize(X3,sK8(X0,X1))],[f125]) ).
fof(f127,plain,
! [X0,X1] :
( ( ~ root_occ(X0,X1)
| ? [X2] :
( root(X0,X2)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X2) ) )
& ( ! [X2] :
( ~ root(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) )
| root_occ(X0,X1) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f128,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,[],[f127]) ).
fof(f129,plain,
! [X0,X1] :
( ( ~ root_occ(X0,X1)
| ( root(X0,sK9(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK9(X0,X1)) ) )
& ( ! [X2] :
( ~ root(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) )
| root_occ(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X3,sK9(X0,X1))],[f128]) ).
fof(f132,plain,
! [X0,X1,X2] :
( ~ min_precedes(X0,X1,X2)
| ( min_precedes(sK10(X1,X2),X1,X2)
& root(sK10(X1,X2),X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X3,sK10(X1,X2))],[f91]) ).
fof(f133,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,[],[f94]) ).
fof(f134,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,[],[f133]) ).
fof(f135,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,[],[f134]) ).
fof(f136,plain,
! [X0,X1,X2] :
( ( ~ next_subocc(X0,X1,X2)
| ( ! [X4] :
( ~ min_precedes(X4,X1,X2)
| ~ min_precedes(X0,X4,X2) )
& min_precedes(X0,X1,X2) ) )
& ( ( min_precedes(sK11(X0,X1,X2),X1,X2)
& min_precedes(X0,sK11(X0,X1,X2),X2) )
| ~ min_precedes(X0,X1,X2)
| next_subocc(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X3,sK11(X0,X1,X2))],[f135]) ).
fof(f137,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ( next_subocc(sK12(X0),sK13(X0),tptp0)
& leaf_occ(sK13(X0),X0)
& ( occurrence_of(sK13(X0),tptp2)
| occurrence_of(sK13(X0),tptp3) )
& root_occ(sK12(X0),X0)
& occurrence_of(sK12(X0),tptp4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13]),skolemize(X1,sK12(X0)),skolemize(X2,sK13(X0))],[f105]) ).
fof(f138,plain,
! [X0,X1,X2,X3] :
( ~ occurrence_of(X3,X0)
| ~ tptp1(X0,X1,X2)
| ( root_occ(sK17(X1,X2,X3),X3)
& occurrence_of(sK17(X1,X2,X3),sK14(X1,X2,X3))
& send_message(sK14(X1,X2,X3),sK15(X1,X2,X3),sK16(X1,X2,X3),X2,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15,sK16,sK17]),skolemize(X4,sK14(X1,X2,X3)),skolemize(X5,sK15(X1,X2,X3)),skolemize(X6,sK16(X1,X2,X3)),skolemize(X7,sK17(X1,X2,X3))],[f112]) ).
fof(f139,plain,
( occurrence_of(sK20,sK18)
& tptp1(sK18,tptp0,sK19) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18,sK19,sK20]),skolemize(X0,sK18),skolemize(X1,sK19),skolemize(X2,sK20)],[f54]) ).
fof(f140,plain,
! [X0,X1] :
( atomic(X0)
| ~ occurrence_of(X1,X0)
| subactivity_occurrence(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f141,plain,
! [X0,X1] :
( atomic(X0)
| ~ occurrence_of(X1,X0)
| root(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f142,plain,
! [X2,X3,X0,X1,X4] :
( X2 = X4
| ~ min_precedes(X3,X2,X0)
| ~ subactivity_occurrence(X2,X1)
| ~ leaf_occ(X4,X1)
| ~ root_occ(X3,X1)
| ~ occurrence_of(X1,X0)
| min_precedes(X2,X4,X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f144,plain,
! [X0,X1] :
( ~ occurrence_of(X1,X0)
| activity_occurrence(X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f145,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,[],[f71]) ).
fof(f146,plain,
! [X0,X1] :
( ~ root(X1,X0)
| atocc(X1,sK1(X1)) ),
inference(cnf_transformation,[],[f114]) ).
fof(f147,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| subactivity_occurrence(X2,sK2(X0,X1,X2)) ),
inference(cnf_transformation,[],[f115]) ).
fof(f148,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| subactivity_occurrence(X1,sK2(X0,X1,X2)) ),
inference(cnf_transformation,[],[f115]) ).
fof(f149,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| occurrence_of(sK2(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f152,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f77]) ).
fof(f154,plain,
! [X2,X3,X0,X1] :
( ~ root_occ(X1,X0)
| ~ occurrence_of(X0,X2)
| ~ min_precedes(X3,X1,X2) ),
inference(cnf_transformation,[],[f81]) ).
fof(f157,plain,
! [X0] :
( ~ activity_occurrence(X0)
| occurrence_of(X0,sK4(X0)) ),
inference(cnf_transformation,[],[f117]) ).
fof(f158,plain,
! [X0] :
( ~ legal(X0)
| arboreal(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f159,plain,
! [X0,X1] :
( ~ atocc(X0,X1)
| occurrence_of(X0,sK5(X0)) ),
inference(cnf_transformation,[],[f118]) ).
fof(f166,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ~ atomic(X1)
| arboreal(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f167,plain,
! [X0,X1] :
( ~ root(X0,X1)
| legal(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f169,plain,
! [X0,X1] :
( ~ leaf_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f126]) ).
fof(f171,plain,
! [X2,X0,X1] :
( ~ leaf(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f126]) ).
fof(f172,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| root(X0,sK9(X0,X1)) ),
inference(cnf_transformation,[],[f129]) ).
fof(f173,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f174,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| occurrence_of(X1,sK9(X0,X1)) ),
inference(cnf_transformation,[],[f129]) ).
fof(f175,plain,
! [X2,X0,X1] :
( ~ root(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2)
| root_occ(X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f180,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| ~ root(X1,X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f181,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| min_precedes(sK10(X1,X2),X1,X2) ),
inference(cnf_transformation,[],[f132]) ).
fof(f182,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| root(sK10(X1,X2),X2) ),
inference(cnf_transformation,[],[f132]) ).
fof(f186,plain,
! [X2,X0,X1,X4] :
( ~ next_subocc(X0,X1,X2)
| ~ min_precedes(X4,X1,X2)
| ~ min_precedes(X0,X4,X2) ),
inference(cnf_transformation,[],[f136]) ).
fof(f190,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,[],[f96]) ).
fof(f192,plain,
! [X2,X3,X0,X1] :
( ~ root_occ(X1,X2)
| ~ root_occ(X0,X2)
| ~ occurrence_of(X2,X3)
| X0 = X1 ),
inference(cnf_transformation,[],[f100]) ).
fof(f195,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| next_subocc(sK12(X0),sK13(X0),tptp0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f196,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| leaf_occ(sK13(X0),X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f197,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| occurrence_of(sK13(X0),tptp2)
| occurrence_of(sK13(X0),tptp3) ),
inference(cnf_transformation,[],[f137]) ).
fof(f198,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| root_occ(sK12(X0),X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f214,plain,
! [X2,X3,X0,X1,X4] :
( ~ send_message(X0,X1,X2,X3,X4)
| tptp2 != X0 ),
inference(cnf_transformation,[],[f107]) ).
fof(f215,plain,
! [X2,X3,X0,X1,X4] :
( ~ send_message(X0,X1,X2,X3,X4)
| tptp3 != X0 ),
inference(cnf_transformation,[],[f107]) ).
fof(f217,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ occurrence_of(X5,X0)
| ~ send_message(X0,X1,X2,X3,X4)
| min_precedes(X3,X5,X4) ),
inference(cnf_transformation,[],[f109]) ).
fof(f218,plain,
! [X2,X0,X1] :
( ~ tptp1(X0,X1,X2)
| root(X2,X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f220,plain,
! [X2,X0,X1] :
( ~ tptp1(X0,X1,X2)
| ~ atomic(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f221,plain,
! [X2,X3,X0,X1] :
( ~ occurrence_of(X3,X0)
| ~ tptp1(X0,X1,X2)
| root_occ(sK17(X1,X2,X3),X3) ),
inference(cnf_transformation,[],[f138]) ).
fof(f222,plain,
! [X2,X3,X0,X1] :
( ~ occurrence_of(X3,X0)
| ~ tptp1(X0,X1,X2)
| occurrence_of(sK17(X1,X2,X3),sK14(X1,X2,X3)) ),
inference(cnf_transformation,[],[f138]) ).
fof(f223,plain,
! [X2,X3,X0,X1] :
( ~ occurrence_of(X3,X0)
| ~ tptp1(X0,X1,X2)
| send_message(sK14(X1,X2,X3),sK15(X1,X2,X3),sK16(X1,X2,X3),X2,X1) ),
inference(cnf_transformation,[],[f138]) ).
fof(f225,plain,
occurrence_of(sK20,sK18),
inference(cnf_transformation,[],[f139]) ).
fof(f226,plain,
tptp1(sK18,tptp0,sK19),
inference(cnf_transformation,[],[f139]) ).
fof(f228,plain,
! [X2,X3,X1,X4] : ~ send_message(tptp3,X1,X2,X3,X4),
inference(equality_resolution,[],[f215]) ).
fof(f229,plain,
! [X2,X3,X1,X4] : ~ send_message(tptp2,X1,X2,X3,X4),
inference(equality_resolution,[],[f214]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] :
( atomic(X1)
| root(sK0(X1,X0),X1)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i] :
( atomic(X1)
| subactivity_occurrence(sK0(X1,X0),X0)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( min_precedes(X1,X4,X2)
| ( X1 = X4 )
| ~ leaf_occ(X4,X3)
| ~ root_occ(X0,X3)
| ~ subactivity_occurrence(X1,X3)
| ~ occurrence_of(X3,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( activity_occurrence(X0)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( min_precedes(X3,X2,X1)
| min_precedes(X2,X3,X1)
| ( X2 = X3 )
| ~ arboreal(X3)
| ~ arboreal(X2)
| ~ subactivity_occurrence(X3,X0)
| ~ subactivity_occurrence(X2,X0)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] :
( atocc(X0,sK1(X0))
| ~ root(X0,X1) ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] :
( occurrence_of(sK2(X2,X0,X1),X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f149]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i] :
( subactivity_occurrence(X0,sK2(X2,X0,X1))
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i] :
( subactivity_occurrence(X1,sK2(X2,X0,X1))
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f147]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ root_occ(X1,X3)
| ~ occurrence_of(X3,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_66,plain,
! [X0: $i] :
( occurrence_of(X0,sK4(X0))
| ~ activity_occurrence(X0) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_67,plain,
! [X0: $i] :
( arboreal(X0)
| ~ legal(X0) ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i] :
( occurrence_of(X0,sK5(X0))
| ~ atocc(X0,X1) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] :
( arboreal(X0)
| ~ atomic(X1)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] :
( legal(X0)
| ~ root(X0,X1) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i,X2: $i] :
( leaf_occ(X2,X0)
| ~ leaf(X2,X1)
| ~ subactivity_occurrence(X2,X0)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i] :
( subactivity_occurrence(X0,X1)
| ~ leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i] :
( root_occ(X0,X2)
| ~ subactivity_occurrence(X0,X2)
| ~ occurrence_of(X2,X1)
| ~ root(X0,X1) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i] :
( occurrence_of(X1,sK9(X0,X1))
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i] :
( subactivity_occurrence(X0,X1)
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i] :
( root(X0,sK9(X0,X1))
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ root(X1,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i] :
( root(sK10(X1,X2),X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i] :
( min_precedes(sK10(X1,X2),X1,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ next_subocc(X0,X3,X2)
| ~ min_precedes(X1,X3,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_99,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,[],[f190]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ~ root_occ(X3,X0)
| ~ root_occ(X2,X0)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f192]) ).
tcf(c_105,plain,
! [X0: $i] :
( root_occ(sK12(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f198]) ).
tcf(c_106,plain,
! [X0: $i] :
( occurrence_of(sK13(X0),tptp2)
| occurrence_of(sK13(X0),tptp3)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f197]) ).
tcf(c_107,plain,
! [X0: $i] :
( leaf_occ(sK13(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f196]) ).
tcf(c_108,plain,
! [X0: $i] :
( next_subocc(sK12(X0),sK13(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f195]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ send_message(tptp3,X0,X1,X2,X3),
inference(cnf_transformation,[],[f228]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ send_message(tptp2,X0,X1,X2,X3),
inference(cnf_transformation,[],[f229]) ).
tcf(c_126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( min_precedes(X3,X5,X4)
| ~ occurrence_of(X5,X0)
| ~ send_message(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_127,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ atomic(X0)
| ~ tptp1(X0,X1,X2) ),
inference(cnf_transformation,[],[f220]) ).
tcf(c_129,plain,
! [X0: $i,X1: $i,X2: $i] :
( root(X2,X1)
| ~ tptp1(X0,X1,X2) ),
inference(cnf_transformation,[],[f218]) ).
tcf(c_130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( send_message(sK14(X1,X2,X3),sK15(X1,X2,X3),sK16(X1,X2,X3),X2,X1)
| ~ occurrence_of(X3,X0)
| ~ tptp1(X0,X1,X2) ),
inference(cnf_transformation,[],[f223]) ).
tcf(c_131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( occurrence_of(sK17(X1,X2,X3),sK14(X1,X2,X3))
| ~ occurrence_of(X3,X0)
| ~ tptp1(X0,X1,X2) ),
inference(cnf_transformation,[],[f222]) ).
tcf(c_132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( root_occ(sK17(X1,X2,X3),X3)
| ~ occurrence_of(X3,X0)
| ~ tptp1(X0,X1,X2) ),
inference(cnf_transformation,[],[f221]) ).
tcf(c_134,negated_conjecture,
tptp1(sK18,tptp0,sK19),
inference(cnf_transformation,[],[f226]) ).
tcf(c_135,negated_conjecture,
occurrence_of(sK20,sK18),
inference(cnf_transformation,[],[f225]) ).
tcf(c_1001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( occurrence_of(X2,sK5(X2))
| ~ root(X0,X3)
| ( X0 != X2 )
| ( sK1(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_55,c_69]) ).
tcf(c_1002,plain,
! [X0: $i,X1: $i] :
( occurrence_of(X0,sK5(X0))
| ~ root(X0,X1) ),
inference(unflattening,[status(thm)],[c_1001]) ).
tcf(c_1055,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( root_occ(sK17(X1,X2,X3),X3)
| ~ occurrence_of(X3,X0)
| ( X2 != sK19 )
| ( X1 != tptp0 )
| ( X0 != sK18 ) ),
inference(resolution_lifted,[status(thm)],[c_132,c_134]) ).
tcf(c_1056,plain,
! [X0: $i] :
( root_occ(sK17(tptp0,sK19,X0),X0)
| ~ occurrence_of(X0,sK18) ),
inference(unflattening,[status(thm)],[c_1055]) ).
tcf(c_1064,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( occurrence_of(sK17(X1,X2,X3),sK14(X1,X2,X3))
| ~ occurrence_of(X3,X0)
| ( X2 != sK19 )
| ( X1 != tptp0 )
| ( X0 != sK18 ) ),
inference(resolution_lifted,[status(thm)],[c_131,c_134]) ).
tcf(c_1065,plain,
! [X0: $i] :
( occurrence_of(sK17(tptp0,sK19,X0),sK14(tptp0,sK19,X0))
| ~ occurrence_of(X0,sK18) ),
inference(unflattening,[status(thm)],[c_1064]) ).
tcf(c_1073,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( send_message(sK14(X1,X2,X3),sK15(X1,X2,X3),sK16(X1,X2,X3),X2,X1)
| ~ occurrence_of(X3,X0)
| ( X2 != sK19 )
| ( X1 != tptp0 )
| ( X0 != sK18 ) ),
inference(resolution_lifted,[status(thm)],[c_130,c_134]) ).
tcf(c_1074,plain,
! [X0: $i] :
( send_message(sK14(tptp0,sK19,X0),sK15(tptp0,sK19,X0),sK16(tptp0,sK19,X0),sK19,tptp0)
| ~ occurrence_of(X0,sK18) ),
inference(unflattening,[status(thm)],[c_1073]) ).
tcf(c_1082,plain,
! [X0: $i,X1: $i,X2: $i] :
( root(X2,X1)
| ( X2 != sK19 )
| ( X1 != tptp0 )
| ( X0 != sK18 ) ),
inference(resolution_lifted,[status(thm)],[c_129,c_134]) ).
tcf(c_1083,plain,
root(sK19,tptp0),
inference(unflattening,[status(thm)],[c_1082]) ).
tcf(c_1089,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ atomic(X0)
| ( X2 != sK19 )
| ( X1 != tptp0 )
| ( X0 != sK18 ) ),
inference(resolution_lifted,[status(thm)],[c_127,c_134]) ).
tcf(c_1090,plain,
~ atomic(sK18),
inference(unflattening,[status(thm)],[c_1089]) ).
tcf(c_1158,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( min_precedes(X4,X6,X5)
| ~ occurrence_of(X0,sK18)
| ~ occurrence_of(X6,X1)
| ( X5 != tptp0 )
| ( X4 != sK19 )
| ( sK16(tptp0,sK19,X0) != X3 )
| ( sK15(tptp0,sK19,X0) != X2 )
| ( sK14(tptp0,sK19,X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_126,c_1074]) ).
tcf(c_1159,plain,
! [X0: $i,X1: $i] :
( min_precedes(sK19,X0,tptp0)
| ~ occurrence_of(X1,sK18)
| ~ occurrence_of(X0,sK14(tptp0,sK19,X1)) ),
inference(unflattening,[status(thm)],[c_1158]) ).
tcf(c_1199,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ occurrence_of(X0,sK18)
| ( X4 != tptp0 )
| ( X3 != sK19 )
| ( sK16(tptp0,sK19,X0) != X2 )
| ( sK15(tptp0,sK19,X0) != X1 )
| ( sK14(tptp0,sK19,X0) != tptp3 ) ),
inference(resolution_lifted,[status(thm)],[c_124,c_1074]) ).
tcf(c_1200,plain,
! [X0: $i] :
( ~ occurrence_of(X0,sK18)
| ( sK14(tptp0,sK19,X0) != tptp3 ) ),
inference(unflattening,[status(thm)],[c_1199]) ).
tcf(c_1208,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ occurrence_of(X0,sK18)
| ( X4 != tptp0 )
| ( X3 != sK19 )
| ( sK16(tptp0,sK19,X0) != X2 )
| ( sK15(tptp0,sK19,X0) != X1 )
| ( sK14(tptp0,sK19,X0) != tptp2 ) ),
inference(resolution_lifted,[status(thm)],[c_125,c_1074]) ).
tcf(c_1209,plain,
! [X0: $i] :
( ~ occurrence_of(X0,sK18)
| ( sK14(tptp0,sK19,X0) != tptp2 ) ),
inference(unflattening,[status(thm)],[c_1208]) ).
tcf(c_2265,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( legal(X0)
| ~ root_occ(X1,X2)
| ( X0 != X1 )
| ( sK9(X1,X2) != X3 ) ),
inference(resolution_lifted,[status(thm)],[c_76,c_84]) ).
tcf(c_2266,plain,
! [X0: $i,X1: $i] :
( legal(X0)
| ~ root_occ(X0,X1) ),
inference(unflattening,[status(thm)],[c_2265]) ).
tcf(c_4669,plain,
! [X0: $i] :
( ~ occurrence_of(X0,sK18)
| ( sK14(tptp0,sK19,X0) != tptp2 ) ),
inference(demodulation,[status(thm)],[c_1209]) ).
tcf(c_4670,plain,
! [X0: $i] :
( ~ occurrence_of(X0,sK18)
| ( sK14(tptp0,sK19,X0) != tptp3 ) ),
inference(demodulation,[status(thm)],[c_1200]) ).
tcf(c_4674,plain,
! [X0: $i,X1: $i] :
( min_precedes(sK19,X0,tptp0)
| ~ occurrence_of(X1,sK18)
| ~ occurrence_of(X0,sK14(tptp0,sK19,X1)) ),
inference(demodulation,[status(thm)],[c_1159]) ).
tcf(c_4676,plain,
~ atomic(sK18),
inference(demodulation,[status(thm)],[c_1090]) ).
tcf(c_4677,plain,
root(sK19,tptp0),
inference(demodulation,[status(thm)],[c_1083]) ).
tcf(c_4678,plain,
! [X0: $i] :
( occurrence_of(sK17(tptp0,sK19,X0),sK14(tptp0,sK19,X0))
| ~ occurrence_of(X0,sK18) ),
inference(demodulation,[status(thm)],[c_1065]) ).
tcf(c_4679,plain,
! [X0: $i] :
( root_occ(sK17(tptp0,sK19,X0),X0)
| ~ occurrence_of(X0,sK18) ),
inference(demodulation,[status(thm)],[c_1056]) ).
tcf(c_4680,negated_conjecture,
occurrence_of(sK20,sK18),
inference(demodulation,[status(thm)],[c_135]) ).
tcf(c_5796,plain,
! [X0: $i] :
( subactivity_occurrence(sK17(tptp0,sK19,X0),X0)
| ~ occurrence_of(X0,sK18) ),
inference(superposition,[status(thm)],[c_4679,c_83]) ).
tcf(c_5968,plain,
! [X0: $i] :
( arboreal(X0)
| ~ activity_occurrence(X0)
| ~ atomic(sK4(X0)) ),
inference(superposition,[status(thm)],[c_66,c_74]) ).
tcf(c_5995,plain,
! [X0: $i,X1: $i] :
( atomic(X1)
| occurrence_of(sK0(X1,X0),sK5(sK0(X1,X0)))
| ~ occurrence_of(X0,X1) ),
inference(superposition,[status(thm)],[c_49,c_1002]) ).
tcf(c_6098,plain,
! [X0: $i,X1: $i] :
( activity_occurrence(X1)
| ~ root_occ(X0,X1) ),
inference(superposition,[status(thm)],[c_82,c_53]) ).
tcf(c_6478,plain,
( occurrence_of(sK17(tptp0,sK19,sK20),sK14(tptp0,sK19,sK20))
| ~ occurrence_of(sK20,sK18) ),
inference(instantiation,[status(thm)],[c_4678]) ).
tcf(c_6479,plain,
( root_occ(sK17(tptp0,sK19,sK20),sK20)
| ~ occurrence_of(sK20,sK18) ),
inference(instantiation,[status(thm)],[c_4679]) ).
tcf(c_6632,plain,
! [X0: $i] :
( min_precedes(sK19,X0,tptp0)
| ~ occurrence_of(sK20,sK18)
| ~ occurrence_of(X0,sK14(tptp0,sK19,sK20)) ),
inference(instantiation,[status(thm)],[c_4674]) ).
tcf(c_6712,plain,
( atomic(sK18)
| root(sK0(sK18,sK20),sK18)
| ~ occurrence_of(sK20,sK18) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_6874,plain,
! [X0: $i,X1: $i] :
( ( sK4(X0) = X1 )
| ~ activity_occurrence(X0)
| ~ occurrence_of(X0,X1) ),
inference(superposition,[status(thm)],[c_66,c_61]) ).
tcf(c_6878,plain,
! [X0: $i] :
( ( X0 = sK18 )
| ~ occurrence_of(sK20,X0) ),
inference(superposition,[status(thm)],[c_4680,c_61]) ).
tcf(c_7011,plain,
! [X0: $i] :
( ( sK9(X0,sK20) = sK18 )
| ~ root_occ(X0,sK20) ),
inference(superposition,[status(thm)],[c_82,c_6878]) ).
tcf(c_7114,plain,
( ( sK9(sK17(tptp0,sK19,sK20),sK20) = sK18 )
| ~ occurrence_of(sK20,sK18) ),
inference(superposition,[status(thm)],[c_4679,c_7011]) ).
tcf(c_7117,plain,
sK9(sK17(tptp0,sK19,sK20),sK20) = sK18,
inference(forward_subsumption_resolution,[status(thm)],[c_7114,c_4680]) ).
tcf(c_7119,plain,
( root(sK17(tptp0,sK19,sK20),sK18)
| ~ root_occ(sK17(tptp0,sK19,sK20),sK20) ),
inference(superposition,[status(thm)],[c_7117,c_84]) ).
tcf(c_7134,plain,
root(sK17(tptp0,sK19,sK20),sK18),
inference(global_subsumption_just,[status(thm)],[c_7119,c_135,c_6479,c_7119]) ).
tcf(c_7136,plain,
occurrence_of(sK17(tptp0,sK19,sK20),sK5(sK17(tptp0,sK19,sK20))),
inference(superposition,[status(thm)],[c_7134,c_1002]) ).
tcf(c_7748,plain,
! [X0: $i] :
( root_occ(sK19,X0)
| ~ subactivity_occurrence(sK19,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(superposition,[status(thm)],[c_4677,c_81]) ).
tcf(c_7752,plain,
! [X0: $i] :
( root_occ(sK17(tptp0,sK19,sK20),X0)
| ~ occurrence_of(X0,sK18)
| ~ subactivity_occurrence(sK17(tptp0,sK19,sK20),X0) ),
inference(superposition,[status(thm)],[c_7134,c_81]) ).
tcf(c_8236,plain,
( legal(sK0(sK18,sK20))
| ~ root(sK0(sK18,sK20),sK18) ),
inference(instantiation,[status(thm)],[c_76]) ).
tcf(c_8431,plain,
( min_precedes(sK19,sK17(tptp0,sK19,sK20),tptp0)
| ~ occurrence_of(sK20,sK18)
| ~ occurrence_of(sK17(tptp0,sK19,sK20),sK14(tptp0,sK19,sK20)) ),
inference(instantiation,[status(thm)],[c_6632]) ).
tcf(c_8496,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ activity_occurrence(X1)
| ~ root_occ(X2,X1)
| ~ root_occ(X0,X1) ),
inference(superposition,[status(thm)],[c_66,c_101]) ).
tcf(c_9208,plain,
! [X0: $i,X1: $i] :
( min_precedes(X1,X0,sK18)
| min_precedes(X0,X1,sK18)
| ( X0 = X1 )
| ~ arboreal(X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X1,sK20)
| ~ subactivity_occurrence(X0,sK20) ),
inference(superposition,[status(thm)],[c_4680,c_54]) ).
tcf(c_9486,plain,
! [X0: $i,X1: $i,X2: $i] :
( min_precedes(X0,X2,sK18)
| ( X0 = X2 )
| ~ arboreal(X2)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X2,sK20)
| ~ subactivity_occurrence(X0,sK20)
| ~ occurrence_of(X1,sK18)
| ~ root_occ(X0,X1) ),
inference(superposition,[status(thm)],[c_9208,c_63]) ).
tcf(c_11975,plain,
( arboreal(sK0(sK18,sK20))
| ~ legal(sK0(sK18,sK20)) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_12348,plain,
( occurrence_of(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)),tptp0)
| ~ min_precedes(sK19,sK17(tptp0,sK19,sK20),tptp0) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_12511,plain,
! [X0: $i,X1: $i,X2: $i] :
( min_precedes(X0,X2,sK18)
| ( X0 = X2 )
| ~ arboreal(X2)
| ~ root_occ(X0,X1)
| ~ occurrence_of(X1,sK18)
| ~ subactivity_occurrence(X0,sK20)
| ~ subactivity_occurrence(X2,sK20) ),
inference(global_subsumption_just,[status(thm)],[c_9486,c_67,c_2266,c_9486]) ).
tcf(c_12512,plain,
! [X0: $i,X1: $i,X2: $i] :
( min_precedes(X0,X2,sK18)
| ( X0 = X2 )
| ~ arboreal(X2)
| ~ subactivity_occurrence(X2,sK20)
| ~ subactivity_occurrence(X0,sK20)
| ~ occurrence_of(X1,sK18)
| ~ root_occ(X0,X1) ),
inference(renaming,[status(thm)],[c_12511]) ).
tcf(c_13133,plain,
! [X0: $i,X1: $i] :
( ( sK4(X0) = X1 )
| ~ occurrence_of(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_6874,c_53,c_6874]) ).
tcf(c_13140,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK4(sK2(X2,X0,X1)) = X2 )
| ~ min_precedes(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_56,c_13133]) ).
tcf(c_13146,plain,
! [X0: $i] :
( occurrence_of(sK13(X0),tptp3)
| ( sK4(sK13(X0)) = tptp2 )
| ~ occurrence_of(X0,tptp0) ),
inference(superposition,[status(thm)],[c_106,c_13133]) ).
tcf(c_13148,plain,
! [X0: $i] :
( ( sK4(sK17(tptp0,sK19,X0)) = sK14(tptp0,sK19,X0) )
| ~ occurrence_of(X0,sK18) ),
inference(superposition,[status(thm)],[c_4678,c_13133]) ).
tcf(c_13154,plain,
sK4(sK17(tptp0,sK19,sK20)) = sK5(sK17(tptp0,sK19,sK20)),
inference(superposition,[status(thm)],[c_7136,c_13133]) ).
tcf(c_17455,plain,
sK4(sK17(tptp0,sK19,sK20)) = sK14(tptp0,sK19,sK20),
inference(superposition,[status(thm)],[c_4680,c_13148]) ).
tcf(c_17461,plain,
sK5(sK17(tptp0,sK19,sK20)) = sK14(tptp0,sK19,sK20),
inference(demodulation,[status(thm)],[c_13154,c_17455]) ).
tcf(c_17463,plain,
occurrence_of(sK17(tptp0,sK19,sK20),sK14(tptp0,sK19,sK20)),
inference(demodulation,[status(thm)],[c_7136,c_17461]) ).
tcf(c_17509,plain,
( min_precedes(sK19,sK17(tptp0,sK19,sK20),tptp0)
| ~ occurrence_of(sK20,sK18) ),
inference(superposition,[status(thm)],[c_17463,c_4674]) ).
tcf(c_17510,plain,
min_precedes(sK19,sK17(tptp0,sK19,sK20),tptp0),
inference(forward_subsumption_resolution,[status(thm)],[c_17509,c_4680]) ).
tcf(c_17614,plain,
! [X0: $i] :
( ~ next_subocc(sK19,X0,tptp0)
| ~ min_precedes(sK17(tptp0,sK19,sK20),X0,tptp0) ),
inference(superposition,[status(thm)],[c_17510,c_98]) ).
tcf(c_17618,plain,
min_precedes(sK10(sK17(tptp0,sK19,sK20),tptp0),sK17(tptp0,sK19,sK20),tptp0),
inference(superposition,[status(thm)],[c_17510,c_91]) ).
tcf(c_17621,plain,
! [X0: $i,X1: $i] :
( min_precedes(sK17(tptp0,sK19,sK20),X1,tptp0)
| ( sK17(tptp0,sK19,sK20) = X1 )
| ~ root_occ(sK19,X0)
| ~ occurrence_of(X0,tptp0)
| ~ leaf_occ(X1,X0)
| ~ subactivity_occurrence(sK17(tptp0,sK19,sK20),X0) ),
inference(superposition,[status(thm)],[c_17510,c_51]) ).
tcf(c_17622,plain,
root(sK10(sK17(tptp0,sK19,sK20),tptp0),tptp0),
inference(superposition,[status(thm)],[c_17510,c_90]) ).
tcf(c_17766,plain,
! [X0: $i] :
( root_occ(sK10(sK17(tptp0,sK19,sK20),tptp0),X0)
| ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK10(sK17(tptp0,sK19,sK20),tptp0),X0) ),
inference(superposition,[status(thm)],[c_17622,c_81]) ).
tcf(c_17799,plain,
! [X0: $i] :
( subactivity_occurrence(sK10(sK17(tptp0,sK19,sK20),tptp0),X0)
| ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK17(tptp0,sK19,sK20),X0) ),
inference(superposition,[status(thm)],[c_17618,c_99]) ).
tcf(c_17807,plain,
! [X0: $i,X1: $i] :
( min_precedes(sK17(tptp0,sK19,sK20),X1,tptp0)
| ( sK17(tptp0,sK19,sK20) = X1 )
| ~ occurrence_of(X0,tptp0)
| ~ leaf_occ(X1,X0)
| ~ subactivity_occurrence(sK17(tptp0,sK19,sK20),X0)
| ~ root_occ(sK10(sK17(tptp0,sK19,sK20),tptp0),X0) ),
inference(superposition,[status(thm)],[c_17618,c_51]) ).
tcf(c_18212,plain,
! [X0: $i,X1: $i] :
( min_precedes(sK17(tptp0,sK19,sK20),X1,tptp0)
| ( sK17(tptp0,sK19,sK20) = X1 )
| ~ subactivity_occurrence(sK17(tptp0,sK19,sK20),X0)
| ~ leaf_occ(X1,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(global_subsumption_just,[status(thm)],[c_17621,c_17766,c_17799,c_17807]) ).
tcf(c_18213,plain,
! [X0: $i,X1: $i] :
( min_precedes(sK17(tptp0,sK19,sK20),X1,tptp0)
| ( sK17(tptp0,sK19,sK20) = X1 )
| ~ occurrence_of(X0,tptp0)
| ~ leaf_occ(X1,X0)
| ~ subactivity_occurrence(sK17(tptp0,sK19,sK20),X0) ),
inference(renaming,[status(thm)],[c_18212]) ).
tcf(c_18429,plain,
( root_occ(sK17(tptp0,sK19,sK20),sK20)
| ~ occurrence_of(sK20,sK18) ),
inference(superposition,[status(thm)],[c_5796,c_7752]) ).
tcf(c_18431,plain,
root_occ(sK17(tptp0,sK19,sK20),sK20),
inference(forward_subsumption_resolution,[status(thm)],[c_18429,c_4680]) ).
tcf(c_18736,plain,
! [X0: $i] :
( min_precedes(sK17(tptp0,sK19,sK20),X0,sK18)
| ( sK17(tptp0,sK19,sK20) = X0 )
| ~ arboreal(X0)
| ~ occurrence_of(sK20,sK18)
| ~ subactivity_occurrence(X0,sK20)
| ~ subactivity_occurrence(sK17(tptp0,sK19,sK20),sK20) ),
inference(superposition,[status(thm)],[c_18431,c_12512]) ).
tcf(c_18743,plain,
subactivity_occurrence(sK17(tptp0,sK19,sK20),sK20),
inference(superposition,[status(thm)],[c_18431,c_83]) ).
tcf(c_18753,plain,
! [X0: $i] :
( min_precedes(sK17(tptp0,sK19,sK20),X0,sK18)
| ( sK17(tptp0,sK19,sK20) = X0 )
| ~ arboreal(X0)
| ~ occurrence_of(sK20,sK18)
| ~ subactivity_occurrence(X0,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18736,c_18743]) ).
tcf(c_18754,plain,
! [X0: $i] :
( min_precedes(sK17(tptp0,sK19,sK20),X0,sK18)
| ( sK17(tptp0,sK19,sK20) = X0 )
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18753,c_4680]) ).
tcf(c_18820,plain,
! [X0: $i] :
( ( sK17(tptp0,sK19,sK20) = X0 )
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,sK20)
| ~ root(X0,sK18) ),
inference(superposition,[status(thm)],[c_18754,c_89]) ).
tcf(c_19003,plain,
! [X0: $i] :
( atomic(sK18)
| ( sK17(tptp0,sK19,sK20) = sK0(sK18,X0) )
| ~ occurrence_of(X0,sK18)
| ~ arboreal(sK0(sK18,X0))
| ~ subactivity_occurrence(sK0(sK18,X0),sK20) ),
inference(superposition,[status(thm)],[c_49,c_18820]) ).
tcf(c_19009,plain,
! [X0: $i] :
( ( sK17(tptp0,sK19,sK20) = sK0(sK18,X0) )
| ~ occurrence_of(X0,sK18)
| ~ arboreal(sK0(sK18,X0))
| ~ subactivity_occurrence(sK0(sK18,X0),sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19003,c_4676]) ).
tcf(c_19453,plain,
sK4(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))) = tptp0,
inference(superposition,[status(thm)],[c_17510,c_13140]) ).
tcf(c_19851,plain,
( occurrence_of(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)),tptp0)
| ~ activity_occurrence(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))) ),
inference(superposition,[status(thm)],[c_19453,c_66]) ).
tcf(c_20308,plain,
! [X0: $i,X1: $i] :
( atomic(X1)
| ( sK4(sK0(X1,X0)) = sK5(sK0(X1,X0)) )
| ~ occurrence_of(X0,X1) ),
inference(superposition,[status(thm)],[c_5995,c_13133]) ).
tcf(c_21504,plain,
! [X0: $i] :
( ( sK4(sK13(X0)) = tptp2 )
| ( sK4(sK13(X0)) = tptp3 )
| ~ occurrence_of(X0,tptp0) ),
inference(superposition,[status(thm)],[c_13146,c_13133]) ).
tcf(c_22493,plain,
occurrence_of(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)),tptp0),
inference(global_subsumption_just,[status(thm)],[c_19851,c_135,c_6478,c_8431,c_12348]) ).
tcf(c_24283,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ root_occ(X0,X1)
| ~ root_occ(X2,X1) ),
inference(global_subsumption_just,[status(thm)],[c_8496,c_6098,c_8496]) ).
tcf(c_24284,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ root_occ(X2,X1)
| ~ root_occ(X0,X1) ),
inference(renaming,[status(thm)],[c_24283]) ).
tcf(c_24291,plain,
! [X0: $i,X1: $i] :
( ( sK12(X1) = X0 )
| ~ occurrence_of(X1,tptp0)
| ~ root_occ(X0,X1) ),
inference(superposition,[status(thm)],[c_105,c_24284]) ).
tcf(c_27077,plain,
( atomic(sK18)
| ( sK4(sK0(sK18,sK20)) = sK5(sK0(sK18,sK20)) ) ),
inference(superposition,[status(thm)],[c_4680,c_20308]) ).
tcf(c_27095,plain,
sK4(sK0(sK18,sK20)) = sK5(sK0(sK18,sK20)),
inference(forward_subsumption_resolution,[status(thm)],[c_27077,c_4676]) ).
tcf(c_27185,plain,
( arboreal(sK0(sK18,sK20))
| ~ activity_occurrence(sK0(sK18,sK20))
| ~ atomic(sK5(sK0(sK18,sK20))) ),
inference(superposition,[status(thm)],[c_27095,c_5968]) ).
tcf(c_27307,plain,
arboreal(sK0(sK18,sK20)),
inference(global_subsumption_just,[status(thm)],[c_27185,c_135,c_1090,c_6712,c_8236,c_11975]) ).
tcf(c_29236,plain,
( atomic(sK18)
| ( sK17(tptp0,sK19,sK20) = sK0(sK18,sK20) )
| ~ occurrence_of(sK20,sK18)
| ~ arboreal(sK0(sK18,sK20)) ),
inference(superposition,[status(thm)],[c_50,c_19009]) ).
tcf(c_29237,plain,
sK17(tptp0,sK19,sK20) = sK0(sK18,sK20),
inference(forward_subsumption_resolution,[status(thm)],[c_29236,c_4676,c_4680,c_27307]) ).
tcf(c_29316,plain,
occurrence_of(sK2(tptp0,sK19,sK0(sK18,sK20)),tptp0),
inference(demodulation,[status(thm)],[c_22493,c_29237]) ).
tcf(c_29370,plain,
! [X0: $i,X1: $i] :
( min_precedes(sK0(sK18,sK20),X1,tptp0)
| ( sK0(sK18,sK20) = X1 )
| ~ occurrence_of(X0,tptp0)
| ~ leaf_occ(X1,X0)
| ~ subactivity_occurrence(sK0(sK18,sK20),X0) ),
inference(demodulation,[status(thm)],[c_18213,c_29237]) ).
tcf(c_29383,plain,
! [X0: $i] :
( ~ next_subocc(sK19,X0,tptp0)
| ~ min_precedes(sK0(sK18,sK20),X0,tptp0) ),
inference(demodulation,[status(thm)],[c_17614,c_29237]) ).
tcf(c_29391,plain,
min_precedes(sK19,sK0(sK18,sK20),tptp0),
inference(demodulation,[status(thm)],[c_17510,c_29237]) ).
tcf(c_29393,plain,
sK4(sK0(sK18,sK20)) = sK14(tptp0,sK19,sK20),
inference(demodulation,[status(thm)],[c_17455,c_29237]) ).
tcf(c_29577,plain,
sK5(sK0(sK18,sK20)) = sK14(tptp0,sK19,sK20),
inference(light_normalisation,[status(thm)],[c_29393,c_27095]) ).
tcf(c_30532,plain,
! [X0: $i] :
( leaf_occ(X0,sK2(tptp0,sK19,sK0(sK18,sK20)))
| ~ leaf(X0,tptp0)
| ~ subactivity_occurrence(X0,sK2(tptp0,sK19,sK0(sK18,sK20))) ),
inference(superposition,[status(thm)],[c_29316,c_77]) ).
tcf(c_30538,plain,
( ( sK4(sK13(sK2(tptp0,sK19,sK0(sK18,sK20)))) = tptp2 )
| ( sK4(sK13(sK2(tptp0,sK19,sK0(sK18,sK20)))) = tptp3 ) ),
inference(superposition,[status(thm)],[c_29316,c_21504]) ).
tcf(c_30551,plain,
( root_occ(sK19,sK2(tptp0,sK19,sK0(sK18,sK20)))
| ~ subactivity_occurrence(sK19,sK2(tptp0,sK19,sK0(sK18,sK20))) ),
inference(superposition,[status(thm)],[c_29316,c_7748]) ).
tcf(c_31289,plain,
( ~ occurrence_of(sK20,sK18)
| ( sK5(sK0(sK18,sK20)) != tptp3 ) ),
inference(superposition,[status(thm)],[c_29577,c_4670]) ).
tcf(c_31290,plain,
( ~ occurrence_of(sK20,sK18)
| ( sK5(sK0(sK18,sK20)) != tptp2 ) ),
inference(superposition,[status(thm)],[c_29577,c_4669]) ).
tcf(c_31298,plain,
sK5(sK0(sK18,sK20)) != tptp2,
inference(forward_subsumption_resolution,[status(thm)],[c_31290,c_4680]) ).
tcf(c_31299,plain,
sK5(sK0(sK18,sK20)) != tptp3,
inference(forward_subsumption_resolution,[status(thm)],[c_31289,c_4680]) ).
tcf(c_37364,plain,
( root_occ(sK19,sK2(tptp0,sK19,sK0(sK18,sK20)))
| ~ min_precedes(sK19,sK0(sK18,sK20),tptp0) ),
inference(superposition,[status(thm)],[c_57,c_30551]) ).
tcf(c_37365,plain,
root_occ(sK19,sK2(tptp0,sK19,sK0(sK18,sK20))),
inference(forward_subsumption_resolution,[status(thm)],[c_37364,c_29391]) ).
tcf(c_38506,plain,
( ( sK12(sK2(tptp0,sK19,sK0(sK18,sK20))) = sK19 )
| ~ occurrence_of(sK2(tptp0,sK19,sK0(sK18,sK20)),tptp0) ),
inference(superposition,[status(thm)],[c_37365,c_24291]) ).
tcf(c_38522,plain,
sK12(sK2(tptp0,sK19,sK0(sK18,sK20))) = sK19,
inference(forward_subsumption_resolution,[status(thm)],[c_38506,c_29316]) ).
tcf(c_38872,plain,
( next_subocc(sK19,sK13(sK2(tptp0,sK19,sK0(sK18,sK20))),tptp0)
| ~ occurrence_of(sK2(tptp0,sK19,sK0(sK18,sK20)),tptp0) ),
inference(superposition,[status(thm)],[c_38522,c_108]) ).
tcf(c_38889,plain,
next_subocc(sK19,sK13(sK2(tptp0,sK19,sK0(sK18,sK20))),tptp0),
inference(forward_subsumption_resolution,[status(thm)],[c_38872,c_29316]) ).
tcf(c_42438,plain,
! [X0: $i] :
( subactivity_occurrence(sK0(sK18,sK20),sK2(X0,sK19,sK0(sK18,sK20)))
| ~ min_precedes(sK19,sK0(sK18,sK20),X0) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_42443,plain,
( subactivity_occurrence(sK0(sK18,sK20),sK2(tptp0,sK19,sK0(sK18,sK20)))
| ~ min_precedes(sK19,sK0(sK18,sK20),tptp0) ),
inference(instantiation,[status(thm)],[c_42438]) ).
tcf(c_49018,plain,
( leaf_occ(sK0(sK18,sK20),sK2(tptp0,sK19,sK0(sK18,sK20)))
| ~ leaf(sK0(sK18,sK20),tptp0)
| ~ min_precedes(sK19,sK0(sK18,sK20),tptp0) ),
inference(superposition,[status(thm)],[c_58,c_30532]) ).
tcf(c_49025,plain,
( leaf_occ(sK0(sK18,sK20),sK2(tptp0,sK19,sK0(sK18,sK20)))
| ~ leaf(sK0(sK18,sK20),tptp0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49018,c_29391]) ).
tcf(c_49054,plain,
( subactivity_occurrence(sK0(sK18,sK20),sK2(tptp0,sK19,sK0(sK18,sK20)))
| ~ leaf(sK0(sK18,sK20),tptp0) ),
inference(superposition,[status(thm)],[c_49025,c_79]) ).
tcf(c_49118,plain,
subactivity_occurrence(sK0(sK18,sK20),sK2(tptp0,sK19,sK0(sK18,sK20))),
inference(global_subsumption_just,[status(thm)],[c_49054,c_29391,c_42443]) ).
tcf(c_49127,plain,
! [X0: $i] :
( min_precedes(sK0(sK18,sK20),X0,tptp0)
| ( sK0(sK18,sK20) = X0 )
| ~ occurrence_of(sK2(tptp0,sK19,sK0(sK18,sK20)),tptp0)
| ~ leaf_occ(X0,sK2(tptp0,sK19,sK0(sK18,sK20))) ),
inference(superposition,[status(thm)],[c_49118,c_29370]) ).
tcf(c_49131,plain,
! [X0: $i] :
( min_precedes(sK0(sK18,sK20),X0,tptp0)
| ( sK0(sK18,sK20) = X0 )
| ~ leaf_occ(X0,sK2(tptp0,sK19,sK0(sK18,sK20))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49127,c_29316]) ).
tcf(c_50865,plain,
( min_precedes(sK0(sK18,sK20),sK13(sK2(tptp0,sK19,sK0(sK18,sK20))),tptp0)
| ( sK13(sK2(tptp0,sK19,sK0(sK18,sK20))) = sK0(sK18,sK20) )
| ~ occurrence_of(sK2(tptp0,sK19,sK0(sK18,sK20)),tptp0) ),
inference(superposition,[status(thm)],[c_107,c_49131]) ).
tcf(c_50867,plain,
( min_precedes(sK0(sK18,sK20),sK13(sK2(tptp0,sK19,sK0(sK18,sK20))),tptp0)
| ( sK13(sK2(tptp0,sK19,sK0(sK18,sK20))) = sK0(sK18,sK20) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50865,c_29316]) ).
tcf(c_73054,plain,
( ( sK13(sK2(tptp0,sK19,sK0(sK18,sK20))) = sK0(sK18,sK20) )
| ~ next_subocc(sK19,sK13(sK2(tptp0,sK19,sK0(sK18,sK20))),tptp0) ),
inference(superposition,[status(thm)],[c_50867,c_29383]) ).
tcf(c_73058,plain,
sK13(sK2(tptp0,sK19,sK0(sK18,sK20))) = sK0(sK18,sK20),
inference(forward_subsumption_resolution,[status(thm)],[c_73054,c_38889]) ).
tcf(c_73100,plain,
( ( sK4(sK0(sK18,sK20)) = tptp2 )
| ( sK4(sK0(sK18,sK20)) = tptp3 ) ),
inference(demodulation,[status(thm)],[c_30538,c_73058]) ).
tcf(c_73117,plain,
( ( sK5(sK0(sK18,sK20)) = tptp2 )
| ( sK5(sK0(sK18,sK20)) = tptp3 ) ),
inference(light_normalisation,[status(thm)],[c_73100,c_27095]) ).
tcf(c_73118,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_73117,c_31298,c_31299]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PRO002+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n015.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 06:27:11 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.41
% 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...
% 20.60/4.69 % SZS status Started for theBenchmark.p
% 20.60/4.69 % SZS status Theorem for theBenchmark.p
% 20.60/4.69
% 20.60/4.69 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 20.60/4.69
% 20.60/4.69 % ------ iProver source info
% 20.60/4.69
% 20.60/4.69 % git: date: 2026-07-19 20:42:38 +0200
% 20.60/4.69 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 20.60/4.69 % git: non_committed_changes: false
% 20.60/4.69
% 20.60/4.69 % ------ Parsing...
% 20.60/4.69 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 20.60/4.69
% 20.60/4.69 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e %
% 20.60/4.69
% 20.60/4.69 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 20.60/4.69
% 20.60/4.69 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 20.60/4.69 % ------ Proving...
% 20.60/4.69 % ------ Problem Properties
% 20.60/4.69
% 20.60/4.69 %
% 20.60/4.69 % clauses 82
% 20.60/4.69 % conjectures 1
% 20.60/4.69 % EPR 48
% 20.60/4.69 % Horn 68
% 20.60/4.69 % unary 15
% 20.60/4.69 % binary 39
% 20.60/4.69 % lits 196
% 20.60/4.69 % lits eq 16
% 20.60/4.69 % fd_pure 0
% 20.60/4.69 % fd_pseudo 0
% 20.60/4.69 % fd_cond 0
% 20.60/4.69 % fd_pseudo_cond 6
% 20.60/4.69 % AC symbols 0
% 20.60/4.69
% 20.60/4.69 % ------ Schedule dynamic 5 is on
% 20.60/4.69
% 20.60/4.69 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 20.60/4.69
% 20.60/4.69
% 20.60/4.69 % ------
% 20.60/4.69 % Current options:
% 20.60/4.69 % ------
% 20.60/4.69
% 20.60/4.69
% 20.60/4.69 %
% 20.60/4.69
% 20.60/4.69 % ------ Proving...
% 20.60/4.69 %
% 20.60/4.69
% 20.60/4.69 % SZS status Theorem for theBenchmark.p
% 20.60/4.69
% 20.60/4.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 29.00/4.70
% 29.00/4.70
%------------------------------------------------------------------------------