%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PRO017+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 : n005.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 02:31:39 PM UTC 2026
% Result : Theorem 18.31s 3.93s
% Output : CNFRefutation 18.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 19
% Syntax : Number of formulae : 185 ( 50 unt; 0 def)
% Number of atoms : 595 ( 69 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 678 ( 268 ~; 294 |; 97 &)
% ( 5 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 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 : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-3 aty)
% Number of variables : 268 ( 0 sgn 238 !; 30 ?; 77 :)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( occurrence_of(X1,X0)
=> ( activity_occurrence(X1)
& activity(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).
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(f10,axiom,
! [X0,X1,X2] :
( ( leaf_occ(X1,X0)
& occurrence_of(X0,X2) )
=> ~ ? [X3] : min_precedes(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_09) ).
fof(f12,axiom,
! [X0,X1] :
( subactivity_occurrence(X0,X1)
=> ( activity_occurrence(X1)
& activity_occurrence(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_11) ).
fof(f13,axiom,
! [X0] :
( activity_occurrence(X0)
=> ? [X1] :
( occurrence_of(X0,X1)
& activity(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_12) ).
fof(f17,axiom,
! [X0,X1] :
( occurrence_of(X0,X1)
=> ( arboreal(X0)
<=> atomic(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_16) ).
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(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(f33,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/sandbox/benchmark/theBenchmark.p',sos_32) ).
fof(f37,axiom,
atomic(tptp2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_36) ).
fof(f38,axiom,
atomic(tptp1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_37) ).
fof(f39,axiom,
atomic(tptp3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_38) ).
fof(f40,axiom,
tptp4 != tptp3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_39) ).
fof(f43,axiom,
tptp3 != tptp2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_42) ).
fof(f44,axiom,
tptp3 != tptp1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_43) ).
fof(f45,axiom,
tptp2 != tptp1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_44) ).
fof(f46,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/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f47,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)],[f46]) ).
fof(f48,plain,
! [X0] :
( activity_occurrence(X0)
=> ? [X1] : occurrence_of(X0,X1) ),
inference(pure_predicate_removal,[],[f13]) ).
fof(f49,plain,
! [X0,X1] :
( occurrence_of(X1,X0)
=> activity_occurrence(X1) ),
inference(pure_predicate_removal,[],[f4]) ).
fof(f51,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,[],[f47]) ).
fof(f52,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,[],[f51]) ).
fof(f53,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,[],[f33]) ).
fof(f54,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,[],[f53]) ).
fof(f55,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(f56,plain,
! [X0,X1,X2,X3] :
( ~ subactivity_occurrence(X1,X3)
| ~ occurrence_of(X3,X2)
| ~ min_precedes(X0,X1,X2)
| subactivity_occurrence(X0,X3) ),
inference(flattening,[],[f55]) ).
fof(f57,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(f60,plain,
! [X0,X1,X2] :
( ~ leaf_occ(X1,X0)
| ~ occurrence_of(X0,X2)
| ! [X3] : ~ min_precedes(X1,X3,X2) ),
inference(ennf_transformation,[],[f10]) ).
fof(f61,plain,
! [X0,X1,X2] :
( ~ leaf_occ(X1,X0)
| ~ occurrence_of(X0,X2)
| ! [X3] : ~ min_precedes(X1,X3,X2) ),
inference(flattening,[],[f60]) ).
fof(f64,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ( arboreal(X0)
<=> atomic(X1) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f70,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(f74,plain,
! [X0] :
( ~ activity_occurrence(X0)
| ? [X1] : occurrence_of(X0,X1) ),
inference(ennf_transformation,[],[f48]) ).
fof(f75,plain,
! [X0,X1] :
( ~ occurrence_of(X1,X0)
| activity_occurrence(X1) ),
inference(ennf_transformation,[],[f49]) ).
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] :
( ~ subactivity_occurrence(X0,X1)
| ( activity_occurrence(X1)
& activity_occurrence(X0) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f81,plain,
( ~ leaf_occ(sK0,sK1)
& arboreal(sK0)
& subactivity_occurrence(sK0,sK1)
& occurrence_of(sK1,tptp0)
& ! [X2,X3] :
( ~ leaf(X3,tptp0)
| ~ min_precedes(X2,X3,tptp0)
| ( ~ occurrence_of(X3,tptp1)
& ~ occurrence_of(X3,tptp2) )
| ~ next_subocc(sK0,X2,tptp0)
| ~ occurrence_of(X2,tptp3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f52]) ).
fof(f82,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ( ! [X5] :
( ~ min_precedes(sK2(X0),X5,tptp0)
| sK4(X0) = X5
| sK3(X0) = X5 )
& min_precedes(sK3(X0),sK4(X0),tptp0)
& ( occurrence_of(sK4(X0),tptp1)
| occurrence_of(sK4(X0),tptp2) )
& min_precedes(sK2(X0),sK3(X0),tptp0)
& occurrence_of(sK3(X0),tptp4)
& next_subocc(X0,sK2(X0),tptp0)
& occurrence_of(sK2(X0),tptp3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X2,sK2(X0)),skolemize(X3,sK3(X0)),skolemize(X4,sK4(X0))],[f54]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ~ min_precedes(X1,X2,X0)
| ( subactivity_occurrence(X2,sK5(X0,X1,X2))
& subactivity_occurrence(X1,sK5(X0,X1,X2))
& occurrence_of(sK5(X0,X1,X2),X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X3,sK5(X0,X1,X2))],[f57]) ).
fof(f84,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ( ( ~ arboreal(X0)
| atomic(X1) )
& ( ~ atomic(X1)
| arboreal(X0) ) ) ),
inference(nnf_transformation,[],[f64]) ).
fof(f85,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(f86,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,[],[f85]) ).
fof(f87,plain,
! [X0,X1] :
( ( ~ leaf_occ(X0,X1)
| ( leaf(X0,sK6(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK6(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,[sK6]),skolemize(X3,sK6(X0,X1))],[f86]) ).
fof(f93,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,[],[f70]) ).
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) ) )
& ( ? [X3] :
( min_precedes(X3,X1,X2)
& min_precedes(X0,X3,X2) )
| ~ min_precedes(X0,X1,X2)
| next_subocc(X0,X1,X2) ) ),
inference(flattening,[],[f93]) ).
fof(f95,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,[],[f94]) ).
fof(f96,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(sK10(X0,X1,X2),X1,X2)
& min_precedes(X0,sK10(X0,X1,X2),X2) )
| ~ min_precedes(X0,X1,X2)
| next_subocc(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X3,sK10(X0,X1,X2))],[f95]) ).
fof(f98,plain,
! [X0] :
( ~ activity_occurrence(X0)
| occurrence_of(X0,sK12(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X1,sK12(X0))],[f74]) ).
fof(f100,plain,
~ leaf_occ(sK0,sK1),
inference(cnf_transformation,[],[f81]) ).
fof(f101,plain,
arboreal(sK0),
inference(cnf_transformation,[],[f81]) ).
fof(f102,plain,
subactivity_occurrence(sK0,sK1),
inference(cnf_transformation,[],[f81]) ).
fof(f103,plain,
occurrence_of(sK1,tptp0),
inference(cnf_transformation,[],[f81]) ).
fof(f107,plain,
! [X0,X1,X5] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ~ min_precedes(sK2(X0),X5,tptp0)
| sK4(X0) = X5
| sK3(X0) = X5 ),
inference(cnf_transformation,[],[f82]) ).
fof(f108,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| min_precedes(sK3(X0),sK4(X0),tptp0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f109,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| occurrence_of(sK4(X0),tptp1)
| occurrence_of(sK4(X0),tptp2) ),
inference(cnf_transformation,[],[f82]) ).
fof(f110,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| min_precedes(sK2(X0),sK3(X0),tptp0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f111,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| occurrence_of(sK3(X0),tptp4) ),
inference(cnf_transformation,[],[f82]) ).
fof(f112,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| next_subocc(X0,sK2(X0),tptp0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f113,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| occurrence_of(sK2(X0),tptp3) ),
inference(cnf_transformation,[],[f82]) ).
fof(f114,plain,
tptp3 != tptp1,
inference(cnf_transformation,[],[f44]) ).
fof(f115,plain,
tptp3 != tptp2,
inference(cnf_transformation,[],[f43]) ).
fof(f116,plain,
tptp3 != tptp4,
inference(cnf_transformation,[],[f40]) ).
fof(f117,plain,
atomic(tptp3),
inference(cnf_transformation,[],[f39]) ).
fof(f118,plain,
tptp2 != tptp1,
inference(cnf_transformation,[],[f45]) ).
fof(f120,plain,
atomic(tptp2),
inference(cnf_transformation,[],[f37]) ).
fof(f121,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,[],[f56]) ).
fof(f122,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| subactivity_occurrence(X2,sK5(X0,X1,X2)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f124,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| occurrence_of(sK5(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f126,plain,
atomic(tptp1),
inference(cnf_transformation,[],[f38]) ).
fof(f128,plain,
! [X2,X3,X0,X1] :
( ~ leaf_occ(X1,X0)
| ~ occurrence_of(X0,X2)
| ~ min_precedes(X1,X3,X2) ),
inference(cnf_transformation,[],[f61]) ).
fof(f131,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ~ atomic(X1)
| arboreal(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f134,plain,
! [X0,X1] :
( ~ leaf_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f144,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f96]) ).
fof(f151,plain,
! [X0] :
( ~ activity_occurrence(X0)
| occurrence_of(X0,sK12(X0)) ),
inference(cnf_transformation,[],[f98]) ).
fof(f152,plain,
! [X0,X1] :
( ~ occurrence_of(X1,X0)
| activity_occurrence(X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f153,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f77]) ).
fof(f159,plain,
! [X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| activity_occurrence(X0) ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_51,negated_conjecture,
occurrence_of(sK1,tptp0),
inference(cnf_transformation,[],[f103]) ).
tcf(c_52,negated_conjecture,
subactivity_occurrence(sK0,sK1),
inference(cnf_transformation,[],[f102]) ).
tcf(c_53,negated_conjecture,
arboreal(sK0),
inference(cnf_transformation,[],[f101]) ).
tcf(c_54,negated_conjecture,
~ leaf_occ(sK0,sK1),
inference(cnf_transformation,[],[f100]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( leaf_occ(X0,X1)
| occurrence_of(sK2(X0),tptp3)
| ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( leaf_occ(X0,X1)
| next_subocc(X0,sK2(X0),tptp0)
| ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( leaf_occ(X0,X1)
| occurrence_of(sK3(X0),tptp4)
| ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] :
( leaf_occ(X0,X1)
| min_precedes(sK2(X0),sK3(X0),tptp0)
| ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( leaf_occ(X0,X1)
| occurrence_of(sK4(X0),tptp1)
| occurrence_of(sK4(X0),tptp2)
| ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] :
( leaf_occ(X0,X1)
| min_precedes(sK3(X0),sK4(X0),tptp0)
| ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i] :
( leaf_occ(X0,X2)
| ( sK4(X0) = X1 )
| ( sK3(X0) = X1 )
| ~ arboreal(X0)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X0,X2)
| ~ min_precedes(sK2(X0),X1,tptp0) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_63,plain,
tptp3 != tptp1,
inference(cnf_transformation,[],[f114]) ).
tcf(c_64,plain,
tptp3 != tptp2,
inference(cnf_transformation,[],[f115]) ).
tcf(c_65,plain,
tptp3 != tptp4,
inference(cnf_transformation,[],[f116]) ).
tcf(c_66,plain,
atomic(tptp3),
inference(cnf_transformation,[],[f117]) ).
tcf(c_67,plain,
tptp2 != tptp1,
inference(cnf_transformation,[],[f118]) ).
tcf(c_69,plain,
atomic(tptp2),
inference(cnf_transformation,[],[f120]) ).
tcf(c_70,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,[],[f121]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i] :
( occurrence_of(sK5(X2,X0,X1),X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i] :
( subactivity_occurrence(X1,sK5(X2,X0,X1))
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_75,plain,
atomic(tptp1),
inference(cnf_transformation,[],[f126]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ leaf_occ(X0,X3)
| ~ occurrence_of(X3,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i] :
( arboreal(X0)
| ~ atomic(X1)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i] :
( subactivity_occurrence(X0,X1)
| ~ leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i] :
( min_precedes(X0,X1,X2)
| ~ next_subocc(X0,X1,X2) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_100,plain,
! [X0: $i] :
( occurrence_of(X0,sK12(X0))
| ~ activity_occurrence(X0) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i] :
( activity_occurrence(X0)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_107,plain,
! [X0: $i,X1: $i] :
( activity_occurrence(X0)
| ~ subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_2742,plain,
( occurrence_of(sK2(sK0),tptp3)
| ~ arboreal(sK0)
| ~ subactivity_occurrence(sK0,sK1)
| ~ occurrence_of(sK1,tptp0) ),
inference(superposition,[status(thm)],[c_56,c_54]) ).
tcf(c_2745,plain,
occurrence_of(sK2(sK0),tptp3),
inference(forward_subsumption_resolution,[status(thm)],[c_2742,c_53,c_52,c_51]) ).
tcf(c_2763,plain,
! [X0: $i,X1: $i] :
( arboreal(sK2(X0))
| leaf_occ(X0,X1)
| ~ atomic(tptp3)
| ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_79]) ).
tcf(c_2768,plain,
! [X0: $i,X1: $i] :
( arboreal(sK2(X0))
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2763,c_66]) ).
tcf(c_2808,plain,
( arboreal(sK2(sK0))
| ~ atomic(tptp3) ),
inference(superposition,[status(thm)],[c_2745,c_79]) ).
tcf(c_2810,plain,
arboreal(sK2(sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_2808,c_66]) ).
tcf(c_2902,plain,
! [X0: $i,X1: $i,X2: $i] :
( arboreal(sK2(X2))
| leaf_occ(X2,sK5(X0,X1,X2))
| ~ arboreal(X2)
| ~ min_precedes(X1,X2,X0)
| ~ occurrence_of(sK5(X0,X1,X2),tptp0) ),
inference(superposition,[status(thm)],[c_73,c_2768]) ).
tcf(c_2904,plain,
! [X0: $i,X1: $i,X2: $i] :
( activity_occurrence(X1)
| ~ min_precedes(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_73,c_107]) ).
tcf(c_3040,plain,
! [X0: $i,X1: $i] :
( ( sK12(X0) = X1 )
| ~ activity_occurrence(X0)
| ~ occurrence_of(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_102]) ).
tcf(c_3407,plain,
! [X0: $i] :
( arboreal(X0)
| ~ atomic(tptp2)
| ~ occurrence_of(X0,tptp2) ),
inference(instantiation,[status(thm)],[c_79]) ).
tcf(c_3765,plain,
( occurrence_of(sK3(sK0),tptp4)
| ~ arboreal(sK0)
| ~ subactivity_occurrence(sK0,sK1)
| ~ occurrence_of(sK1,tptp0) ),
inference(superposition,[status(thm)],[c_58,c_54]) ).
tcf(c_3776,plain,
occurrence_of(sK3(sK0),tptp4),
inference(forward_subsumption_resolution,[status(thm)],[c_3765,c_53,c_52,c_51]) ).
tcf(c_3894,plain,
! [X0: $i] :
( ( X0 = tptp4 )
| ~ occurrence_of(sK3(sK0),X0) ),
inference(superposition,[status(thm)],[c_3776,c_102]) ).
tcf(c_3897,plain,
activity_occurrence(sK3(sK0)),
inference(superposition,[status(thm)],[c_3776,c_101]) ).
tcf(c_3975,plain,
( ( sK12(sK3(sK0)) = tptp4 )
| ~ activity_occurrence(sK3(sK0)) ),
inference(superposition,[status(thm)],[c_100,c_3894]) ).
tcf(c_3977,plain,
sK12(sK3(sK0)) = tptp4,
inference(forward_subsumption_resolution,[status(thm)],[c_3975,c_3897]) ).
tcf(c_4358,plain,
( next_subocc(sK0,sK2(sK0),tptp0)
| ~ arboreal(sK0)
| ~ subactivity_occurrence(sK0,sK1)
| ~ occurrence_of(sK1,tptp0) ),
inference(superposition,[status(thm)],[c_57,c_54]) ).
tcf(c_4373,plain,
next_subocc(sK0,sK2(sK0),tptp0),
inference(forward_subsumption_resolution,[status(thm)],[c_4358,c_53,c_52,c_51]) ).
tcf(c_4472,plain,
( min_precedes(sK2(sK0),sK3(sK0),tptp0)
| ~ arboreal(sK0)
| ~ subactivity_occurrence(sK0,sK1)
| ~ occurrence_of(sK1,tptp0) ),
inference(superposition,[status(thm)],[c_59,c_54]) ).
tcf(c_4490,plain,
min_precedes(sK2(sK0),sK3(sK0),tptp0),
inference(forward_subsumption_resolution,[status(thm)],[c_4472,c_53,c_52,c_51]) ).
tcf(c_4602,plain,
( min_precedes(sK3(sK0),sK4(sK0),tptp0)
| ~ arboreal(sK0)
| ~ subactivity_occurrence(sK0,sK1)
| ~ occurrence_of(sK1,tptp0) ),
inference(superposition,[status(thm)],[c_61,c_54]) ).
tcf(c_4625,plain,
min_precedes(sK3(sK0),sK4(sK0),tptp0),
inference(forward_subsumption_resolution,[status(thm)],[c_4602,c_53,c_52,c_51]) ).
tcf(c_4811,plain,
( occurrence_of(sK4(sK0),tptp1)
| occurrence_of(sK4(sK0),tptp2)
| ~ arboreal(sK0)
| ~ subactivity_occurrence(sK0,sK1)
| ~ occurrence_of(sK1,tptp0) ),
inference(superposition,[status(thm)],[c_60,c_54]) ).
tcf(c_4826,plain,
( occurrence_of(sK4(sK0),tptp1)
| occurrence_of(sK4(sK0),tptp2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4811,c_53,c_52,c_51]) ).
tcf(c_4951,plain,
min_precedes(sK0,sK2(sK0),tptp0),
inference(superposition,[status(thm)],[c_4373,c_94]) ).
tcf(c_4971,plain,
! [X0: $i] :
( ~ leaf_occ(sK0,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(superposition,[status(thm)],[c_4951,c_77]) ).
tcf(c_5012,plain,
! [X0: $i] :
( subactivity_occurrence(sK2(sK0),X0)
| ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK3(sK0),X0) ),
inference(superposition,[status(thm)],[c_4490,c_70]) ).
tcf(c_5014,plain,
! [X0: $i] :
( ~ occurrence_of(X0,tptp0)
| ~ leaf_occ(sK2(sK0),X0) ),
inference(superposition,[status(thm)],[c_4490,c_77]) ).
tcf(c_5038,plain,
! [X0: $i] :
( subactivity_occurrence(sK3(sK0),X0)
| ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK4(sK0),X0) ),
inference(superposition,[status(thm)],[c_4625,c_70]) ).
tcf(c_5042,plain,
activity_occurrence(sK4(sK0)),
inference(superposition,[status(thm)],[c_4625,c_2904]) ).
tcf(c_5076,plain,
( arboreal(sK4(sK0))
| occurrence_of(sK4(sK0),tptp2)
| ~ atomic(tptp1) ),
inference(superposition,[status(thm)],[c_4826,c_79]) ).
tcf(c_5078,plain,
( arboreal(sK4(sK0))
| occurrence_of(sK4(sK0),tptp2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5076,c_75]) ).
tcf(c_6178,plain,
( arboreal(sK4(sK0))
| ~ atomic(tptp2)
| ~ occurrence_of(sK4(sK0),tptp2) ),
inference(instantiation,[status(thm)],[c_3407]) ).
tcf(c_6262,plain,
( subactivity_occurrence(sK4(sK0),sK5(tptp0,sK3(sK0),sK4(sK0)))
| ~ min_precedes(sK3(sK0),sK4(sK0),tptp0) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_6264,plain,
( occurrence_of(sK5(tptp0,sK3(sK0),sK4(sK0)),tptp0)
| ~ min_precedes(sK3(sK0),sK4(sK0),tptp0) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_6936,plain,
arboreal(sK4(sK0)),
inference(global_subsumption_just,[status(thm)],[c_5078,c_69,c_5078,c_6178]) ).
tcf(c_8252,plain,
! [X0: $i] :
( next_subocc(sK2(sK0),sK2(sK2(sK0)),tptp0)
| ~ arboreal(sK2(sK0))
| ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK2(sK0),X0) ),
inference(superposition,[status(thm)],[c_57,c_5014]) ).
tcf(c_8254,plain,
! [X0: $i] :
( occurrence_of(sK2(sK2(sK0)),tptp3)
| ~ arboreal(sK2(sK0))
| ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK2(sK0),X0) ),
inference(superposition,[status(thm)],[c_56,c_5014]) ).
tcf(c_8259,plain,
! [X0: $i] :
( occurrence_of(sK2(sK2(sK0)),tptp3)
| ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK2(sK0),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8254,c_2810]) ).
tcf(c_8267,plain,
! [X0: $i] :
( next_subocc(sK2(sK0),sK2(sK2(sK0)),tptp0)
| ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK2(sK0),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8252,c_2810]) ).
tcf(c_11515,plain,
! [X0: $i,X1: $i] :
( ( sK12(X0) = X1 )
| ~ occurrence_of(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_3040,c_101,c_3040]) ).
tcf(c_11544,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK12(sK5(X2,X0,X1)) = X2 )
| ~ min_precedes(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_71,c_11515]) ).
tcf(c_11550,plain,
( occurrence_of(sK4(sK0),tptp2)
| ( sK12(sK4(sK0)) = tptp1 ) ),
inference(superposition,[status(thm)],[c_4826,c_11515]) ).
tcf(c_12237,plain,
( ( sK12(sK4(sK0)) = tptp1 )
| ( sK12(sK4(sK0)) = tptp2 ) ),
inference(superposition,[status(thm)],[c_11550,c_11515]) ).
tcf(c_12242,plain,
! [X0: $i] :
( ( X0 = tptp2 )
| ( sK12(sK4(sK0)) = tptp1 )
| ~ occurrence_of(sK4(sK0),X0) ),
inference(superposition,[status(thm)],[c_11550,c_102]) ).
tcf(c_14303,plain,
( occurrence_of(sK4(sK0),tptp1)
| ( sK12(sK4(sK0)) = tptp2 )
| ~ activity_occurrence(sK4(sK0)) ),
inference(superposition,[status(thm)],[c_12237,c_100]) ).
tcf(c_14304,plain,
( occurrence_of(sK4(sK0),tptp1)
| ( sK12(sK4(sK0)) = tptp2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14303,c_5042]) ).
tcf(c_14316,plain,
! [X0: $i] :
( ( X0 = tptp1 )
| ( sK12(sK4(sK0)) = tptp2 )
| ~ occurrence_of(sK4(sK0),X0) ),
inference(superposition,[status(thm)],[c_14304,c_102]) ).
tcf(c_15592,plain,
sK12(sK5(tptp0,sK3(sK0),sK4(sK0))) = tptp0,
inference(superposition,[status(thm)],[c_4625,c_11544]) ).
tcf(c_16161,plain,
( occurrence_of(sK5(tptp0,sK3(sK0),sK4(sK0)),tptp0)
| ~ activity_occurrence(sK5(tptp0,sK3(sK0),sK4(sK0))) ),
inference(superposition,[status(thm)],[c_15592,c_100]) ).
tcf(c_26007,plain,
occurrence_of(sK5(tptp0,sK3(sK0),sK4(sK0)),tptp0),
inference(global_subsumption_just,[status(thm)],[c_16161,c_4625,c_6264]) ).
tcf(c_26021,plain,
( arboreal(sK2(sK4(sK0)))
| leaf_occ(sK4(sK0),sK5(tptp0,sK3(sK0),sK4(sK0)))
| ~ arboreal(sK4(sK0))
| ~ min_precedes(sK3(sK0),sK4(sK0),tptp0) ),
inference(superposition,[status(thm)],[c_26007,c_2902]) ).
tcf(c_26035,plain,
( arboreal(sK2(sK4(sK0)))
| leaf_occ(sK4(sK0),sK5(tptp0,sK3(sK0),sK4(sK0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26021,c_6936,c_4625]) ).
tcf(c_28321,plain,
( arboreal(sK2(sK4(sK0)))
| subactivity_occurrence(sK4(sK0),sK5(tptp0,sK3(sK0),sK4(sK0))) ),
inference(superposition,[status(thm)],[c_26035,c_84]) ).
tcf(c_30461,plain,
subactivity_occurrence(sK4(sK0),sK5(tptp0,sK3(sK0),sK4(sK0))),
inference(global_subsumption_just,[status(thm)],[c_28321,c_4625,c_6262]) ).
tcf(c_30469,plain,
( subactivity_occurrence(sK3(sK0),sK5(tptp0,sK3(sK0),sK4(sK0)))
| ~ occurrence_of(sK5(tptp0,sK3(sK0),sK4(sK0)),tptp0) ),
inference(superposition,[status(thm)],[c_30461,c_5038]) ).
tcf(c_30470,plain,
subactivity_occurrence(sK3(sK0),sK5(tptp0,sK3(sK0),sK4(sK0))),
inference(forward_subsumption_resolution,[status(thm)],[c_30469,c_26007]) ).
tcf(c_30700,plain,
( subactivity_occurrence(sK2(sK0),sK5(tptp0,sK3(sK0),sK4(sK0)))
| ~ occurrence_of(sK5(tptp0,sK3(sK0),sK4(sK0)),tptp0) ),
inference(superposition,[status(thm)],[c_30470,c_5012]) ).
tcf(c_30704,plain,
subactivity_occurrence(sK2(sK0),sK5(tptp0,sK3(sK0),sK4(sK0))),
inference(forward_subsumption_resolution,[status(thm)],[c_30700,c_26007]) ).
tcf(c_31433,plain,
( next_subocc(sK2(sK0),sK2(sK2(sK0)),tptp0)
| ~ occurrence_of(sK5(tptp0,sK3(sK0),sK4(sK0)),tptp0) ),
inference(superposition,[status(thm)],[c_30704,c_8267]) ).
tcf(c_31435,plain,
( occurrence_of(sK2(sK2(sK0)),tptp3)
| ~ occurrence_of(sK5(tptp0,sK3(sK0),sK4(sK0)),tptp0) ),
inference(superposition,[status(thm)],[c_30704,c_8259]) ).
tcf(c_31437,plain,
occurrence_of(sK2(sK2(sK0)),tptp3),
inference(forward_subsumption_resolution,[status(thm)],[c_31435,c_26007]) ).
tcf(c_31439,plain,
next_subocc(sK2(sK0),sK2(sK2(sK0)),tptp0),
inference(forward_subsumption_resolution,[status(thm)],[c_31433,c_26007]) ).
tcf(c_31469,plain,
sK12(sK2(sK2(sK0))) = tptp3,
inference(superposition,[status(thm)],[c_31437,c_11515]) ).
tcf(c_32339,plain,
min_precedes(sK2(sK0),sK2(sK2(sK0)),tptp0),
inference(superposition,[status(thm)],[c_31439,c_94]) ).
tcf(c_32967,plain,
! [X0: $i] :
( leaf_occ(sK0,X0)
| ( sK2(sK2(sK0)) = sK4(sK0) )
| ( sK2(sK2(sK0)) = sK3(sK0) )
| ~ arboreal(sK0)
| ~ subactivity_occurrence(sK0,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(superposition,[status(thm)],[c_32339,c_62]) ).
tcf(c_32994,plain,
! [X0: $i] :
( leaf_occ(sK0,X0)
| ( sK2(sK2(sK0)) = sK4(sK0) )
| ( sK2(sK2(sK0)) = sK3(sK0) )
| ~ subactivity_occurrence(sK0,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32967,c_53]) ).
tcf(c_33066,plain,
! [X0: $i] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK0,X0)
| ( sK2(sK2(sK0)) = sK3(sK0) )
| ( sK2(sK2(sK0)) = sK4(sK0) ) ),
inference(global_subsumption_just,[status(thm)],[c_32994,c_4971,c_32994]) ).
tcf(c_33067,plain,
! [X0: $i] :
( ( sK2(sK2(sK0)) = sK4(sK0) )
| ( sK2(sK2(sK0)) = sK3(sK0) )
| ~ subactivity_occurrence(sK0,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(renaming,[status(thm)],[c_33066]) ).
tcf(c_33077,plain,
( ( sK2(sK2(sK0)) = sK4(sK0) )
| ( sK2(sK2(sK0)) = sK3(sK0) )
| ~ occurrence_of(sK1,tptp0) ),
inference(superposition,[status(thm)],[c_52,c_33067]) ).
tcf(c_33082,plain,
( ( sK2(sK2(sK0)) = sK4(sK0) )
| ( sK2(sK2(sK0)) = sK3(sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33077,c_51]) ).
tcf(c_33175,plain,
( occurrence_of(sK4(sK0),tptp3)
| ( sK2(sK2(sK0)) = sK3(sK0) ) ),
inference(superposition,[status(thm)],[c_33082,c_31437]) ).
tcf(c_33995,plain,
( ( tptp3 = tptp1 )
| ( sK12(sK4(sK0)) = tptp2 )
| ( sK2(sK2(sK0)) = sK3(sK0) ) ),
inference(superposition,[status(thm)],[c_33175,c_14316]) ).
tcf(c_33996,plain,
( ( tptp3 = tptp2 )
| ( sK12(sK4(sK0)) = tptp1 )
| ( sK2(sK2(sK0)) = sK3(sK0) ) ),
inference(superposition,[status(thm)],[c_33175,c_12242]) ).
tcf(c_34001,plain,
( ( sK12(sK4(sK0)) = tptp1 )
| ( sK2(sK2(sK0)) = sK3(sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33996,c_64]) ).
tcf(c_34004,plain,
( ( sK12(sK4(sK0)) = tptp2 )
| ( sK2(sK2(sK0)) = sK3(sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33995,c_63]) ).
tcf(c_34207,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_34004,c_34001,c_31469,c_3977,c_67,c_65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO017+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/0.41 % Computer : n005.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.41 % WCLimit : 300
% 0.16/0.41 % DateTime : Thu Sep 24 06:33:17 UTC 2026
% 0.16/0.41 % CPUTime :
% 0.16/0.41 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/0.47 Running first-order theorem proving
% 0.16/0.47 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
% 0.16/0.49
% 0.16/0.49 % ======== iProver multi-core TPTP/SMT =========
% 0.16/0.49
% 0.16/0.49 % Detected problem language: tptp
% 0.25/0.51 % Proving...
% 18.31/3.93 % SZS status Started for theBenchmark.p
% 18.31/3.93 % SZS status Theorem for theBenchmark.p
% 18.31/3.93
% 18.31/3.93 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 18.31/3.93
% 18.31/3.93 % ------ iProver source info
% 18.31/3.93
% 18.31/3.93 % git: date: 2026-07-19 20:42:38 +0200
% 18.31/3.93 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 18.31/3.93 % git: non_committed_changes: false
% 18.31/3.93
% 18.31/3.93 % ------ Parsing...
% 18.31/3.93 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 18.31/3.93
% 18.31/3.93 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 18.31/3.93
% 18.31/3.93 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 18.31/3.93
% 18.31/3.93 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 18.31/3.93 % ------ Proving...
% 18.31/3.93 % ------ Problem Properties
% 18.31/3.93
% 18.31/3.93 %
% 18.31/3.93 % clauses 60
% 18.31/3.93 % conjectures 6
% 18.31/3.93 % EPR 36
% 18.31/3.93 % Horn 41
% 18.31/3.93 % unary 15
% 18.31/3.93 % binary 17
% 18.31/3.93 % lits 166
% 18.31/3.93 % lits eq 12
% 18.31/3.93 % fd_pure 0
% 18.31/3.93 % fd_pseudo 0
% 18.31/3.93 % fd_cond 0
% 18.31/3.93 % fd_pseudo_cond 5
% 18.31/3.93 % AC symbols 0
% 18.31/3.93
% 18.31/3.93 % ------ Schedule dynamic 5 is on
% 18.31/3.93
% 18.31/3.93 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 18.31/3.93
% 18.31/3.93
% 18.31/3.93 % ------
% 18.31/3.93 % Current options:
% 18.31/3.93 % ------
% 18.31/3.93
% 18.31/3.93
% 18.31/3.93 %
% 18.31/3.93
% 18.31/3.93 % ------ Proving...
% 18.31/3.93 %
% 18.31/3.93
% 18.31/3.93 % SZS status Theorem for theBenchmark.p
% 18.31/3.93
% 18.31/3.93 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 18.31/3.94
% 18.31/3.94
%------------------------------------------------------------------------------