%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PRO006+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 : n011.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 02:31:33 PM UTC 2026
% Result : Theorem 59.87s 15.06s
% Output : CNFRefutation 59.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 14
% Syntax : Number of formulae : 162 ( 25 unt; 0 def)
% Number of atoms : 511 ( 58 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 632 ( 283 ~; 276 |; 62 &)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 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 : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 309 ( 0 sgn 289 !; 20 ?; 130 :)
% Comments :
%------------------------------------------------------------------------------
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(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(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(f26,axiom,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
=> ( arboreal(X1)
& arboreal(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_25) ).
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(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,tptp3)
& root_occ(X1,X0)
& occurrence_of(X1,tptp4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).
fof(f43,axiom,
tptp1 != tptp3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_42) ).
fof(f46,axiom,
! [X0,X1] :
( ( ~ leaf_occ(X0,X1)
& arboreal(X0)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,tptp0) )
=> ? [X2] :
( next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_45) ).
fof(f47,conjecture,
~ ? [X0] : occurrence_of(X0,tptp0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f48,negated_conjecture,
~ ~ ? [X0] : occurrence_of(X0,tptp0),
inference(negated_conjecture,[status(cth)],[f47]) ).
fof(f49,plain,
? [X0] : occurrence_of(X0,tptp0),
inference(flattening,[],[f48]) ).
fof(f50,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ? [X2] :
( next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp1) ) ),
inference(ennf_transformation,[],[f46]) ).
fof(f51,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ? [X2] :
( next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp1) ) ),
inference(flattening,[],[f50]) ).
fof(f52,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ? [X1,X2] :
( next_subocc(X1,X2,tptp0)
& leaf_occ(X2,X0)
& occurrence_of(X2,tptp3)
& root_occ(X1,X0)
& occurrence_of(X1,tptp4) ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f55,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,X2] :
( ~ next_subocc(X0,X1,X2)
| ( arboreal(X1)
& arboreal(X0) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f68,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(f69,plain,
! [X0,X1,X2,X3] :
( ~ root_occ(X1,X2)
| ~ root_occ(X0,X2)
| ~ occurrence_of(X2,X3)
| X0 = X1 ),
inference(ennf_transformation,[],[f30]) ).
fof(f70,plain,
! [X0,X1,X2,X3] :
( ~ root_occ(X1,X2)
| ~ root_occ(X0,X2)
| ~ occurrence_of(X2,X3)
| X0 = X1 ),
inference(flattening,[],[f69]) ).
fof(f73,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(f74,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,[],[f73]) ).
fof(f77,plain,
! [X0,X1,X2] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(ennf_transformation,[],[f9]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(flattening,[],[f77]) ).
fof(f79,plain,
occurrence_of(sK0,tptp0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f49]) ).
fof(f80,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ( next_subocc(X0,sK1(X0),tptp0)
& occurrence_of(sK1(X0),tptp1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0))],[f51]) ).
fof(f81,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ( next_subocc(sK2(X0),sK3(X0),tptp0)
& leaf_occ(sK3(X0),X0)
& occurrence_of(sK3(X0),tptp3)
& root_occ(sK2(X0),X0)
& occurrence_of(sK2(X0),tptp4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X1,sK2(X0)),skolemize(X2,sK3(X0))],[f52]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ~ min_precedes(X1,X2,X0)
| ( subactivity_occurrence(X2,sK4(X0,X1,X2))
& subactivity_occurrence(X1,sK4(X0,X1,X2))
& occurrence_of(sK4(X0,X1,X2),X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X3,sK4(X0,X1,X2))],[f55]) ).
fof(f85,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,[],[f68]) ).
fof(f86,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,[],[f85]) ).
fof(f87,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,[],[f86]) ).
fof(f88,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(sK6(X0,X1,X2),X1,X2)
& min_precedes(X0,sK6(X0,X1,X2),X2) )
| ~ min_precedes(X0,X1,X2)
| next_subocc(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X3,sK6(X0,X1,X2))],[f87]) ).
fof(f89,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(f90,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,[],[f89]) ).
fof(f91,plain,
! [X0,X1] :
( ( ~ root_occ(X0,X1)
| ( root(X0,sK7(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK7(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,[sK7]),skolemize(X3,sK7(X0,X1))],[f90]) ).
fof(f93,plain,
occurrence_of(sK0,tptp0),
inference(cnf_transformation,[],[f79]) ).
fof(f94,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| next_subocc(X0,sK1(X0),tptp0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f95,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| occurrence_of(sK1(X0),tptp1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f97,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| next_subocc(sK2(X0),sK3(X0),tptp0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f98,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| leaf_occ(sK3(X0),X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f99,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| occurrence_of(sK3(X0),tptp3) ),
inference(cnf_transformation,[],[f81]) ).
fof(f100,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| root_occ(sK2(X0),X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f103,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| subactivity_occurrence(X2,sK4(X0,X1,X2)) ),
inference(cnf_transformation,[],[f82]) ).
fof(f104,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| subactivity_occurrence(X1,sK4(X0,X1,X2)) ),
inference(cnf_transformation,[],[f82]) ).
fof(f105,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| occurrence_of(sK4(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f109,plain,
tptp3 != tptp1,
inference(cnf_transformation,[],[f43]) ).
fof(f113,plain,
! [X2,X3,X0,X1] :
( ~ leaf_occ(X1,X0)
| ~ occurrence_of(X0,X2)
| ~ min_precedes(X1,X3,X2) ),
inference(cnf_transformation,[],[f61]) ).
fof(f116,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| arboreal(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f120,plain,
! [X2,X0,X1,X4] :
( ~ next_subocc(X0,X1,X2)
| ~ min_precedes(X4,X1,X2)
| ~ min_precedes(X0,X4,X2) ),
inference(cnf_transformation,[],[f88]) ).
fof(f121,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f88]) ).
fof(f129,plain,
! [X2,X3,X0,X1] :
( ~ root_occ(X1,X2)
| ~ root_occ(X0,X2)
| ~ occurrence_of(X2,X3)
| X0 = X1 ),
inference(cnf_transformation,[],[f70]) ).
fof(f130,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| root(X0,sK7(X0,X1)) ),
inference(cnf_transformation,[],[f91]) ).
fof(f131,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f132,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| occurrence_of(X1,sK7(X0,X1)) ),
inference(cnf_transformation,[],[f91]) ).
fof(f133,plain,
! [X2,X0,X1] :
( ~ root(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2)
| root_occ(X0,X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f135,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,[],[f74]) ).
fof(f139,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_49,negated_conjecture,
occurrence_of(sK0,tptp0),
inference(cnf_transformation,[],[f93]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i] :
( leaf_occ(X0,X1)
| occurrence_of(sK1(X0),tptp1)
| ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i] :
( leaf_occ(X0,X1)
| next_subocc(X0,sK1(X0),tptp0)
| ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_54,plain,
! [X0: $i] :
( root_occ(sK2(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_55,plain,
! [X0: $i] :
( occurrence_of(sK3(X0),tptp3)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_56,plain,
! [X0: $i] :
( leaf_occ(sK3(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_57,plain,
! [X0: $i] :
( next_subocc(sK2(X0),sK3(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( occurrence_of(sK4(X2,X0,X1),X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i] :
( subactivity_occurrence(X0,sK4(X2,X0,X1))
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i] :
( subactivity_occurrence(X1,sK4(X2,X0,X1))
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_65,plain,
tptp1 != tptp3,
inference(cnf_transformation,[],[f109]) ).
tcf(c_69,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,[],[f113]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i] :
( arboreal(X0)
| ~ next_subocc(X0,X1,X2) ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i,X2: $i] :
( min_precedes(X0,X1,X2)
| ~ next_subocc(X0,X1,X2) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ min_precedes(X3,X1,X2)
| ~ min_precedes(X0,X3,X2)
| ~ next_subocc(X0,X1,X2) ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_85,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,[],[f129]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i] :
( root_occ(X2,X0)
| ~ root(X2,X1)
| ~ subactivity_occurrence(X2,X0)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f133]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i] :
( occurrence_of(X1,sK7(X0,X1))
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i] :
( subactivity_occurrence(X0,X1)
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i] :
( root(X0,sK7(X0,X1))
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( min_precedes(X1,X4,X2)
| ( X1 = X4 )
| ~ root_occ(X0,X3)
| ~ leaf_occ(X4,X3)
| ~ subactivity_occurrence(X1,X3)
| ~ occurrence_of(X3,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_1065,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( arboreal(X1)
| ~ occurrence_of(X0,tptp0)
| ( X3 != tptp0 )
| ( sK3(X0) != X2 )
| ( sK2(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_57,c_71]) ).
tcf(c_1066,plain,
! [X0: $i] :
( arboreal(sK2(X0))
| ~ occurrence_of(X0,tptp0) ),
inference(unflattening,[status(thm)],[c_1065]) ).
tcf(c_1118,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_1121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( occurrence_of(X0,X2)
| ~ occurrence_of(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_1783,plain,
! [X0: $i] :
( subactivity_occurrence(sK2(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(superposition,[status(thm)],[c_54,c_88]) ).
tcf(c_1882,plain,
! [X0: $i] :
( min_precedes(sK2(X0),sK3(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(superposition,[status(thm)],[c_57,c_78]) ).
tcf(c_1984,plain,
! [X0: $i] :
( ( X0 = tptp0 )
| ~ occurrence_of(sK0,X0) ),
inference(superposition,[status(thm)],[c_49,c_95]) ).
tcf(c_1989,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK7(X2,X0) = X1 )
| ~ root_occ(X2,X0)
| ~ occurrence_of(X0,X1) ),
inference(superposition,[status(thm)],[c_87,c_95]) ).
tcf(c_2019,plain,
! [X0: $i,X1: $i] :
( ~ occurrence_of(X1,tptp0)
| ~ occurrence_of(X0,tptp0)
| ~ leaf_occ(sK2(X0),X1) ),
inference(superposition,[status(thm)],[c_1882,c_69]) ).
tcf(c_2040,plain,
! [X0: $i] :
( ( sK7(X0,sK0) = tptp0 )
| ~ root_occ(X0,sK0) ),
inference(superposition,[status(thm)],[c_87,c_1984]) ).
tcf(c_2048,plain,
( ( sK7(sK2(sK0),sK0) = tptp0 )
| ~ occurrence_of(sK0,tptp0) ),
inference(superposition,[status(thm)],[c_54,c_2040]) ).
tcf(c_2049,plain,
sK7(sK2(sK0),sK0) = tptp0,
inference(forward_subsumption_resolution,[status(thm)],[c_2048,c_49]) ).
tcf(c_2050,plain,
( root(sK2(sK0),tptp0)
| ~ root_occ(sK2(sK0),sK0) ),
inference(superposition,[status(thm)],[c_2049,c_89]) ).
tcf(c_2058,plain,
( root(sK2(sK0),tptp0)
| ~ occurrence_of(sK0,tptp0) ),
inference(superposition,[status(thm)],[c_54,c_2050]) ).
tcf(c_2059,plain,
root(sK2(sK0),tptp0),
inference(forward_subsumption_resolution,[status(thm)],[c_2058,c_49]) ).
tcf(c_2135,plain,
! [X0: $i,X1: $i] :
( ~ occurrence_of(X0,tptp0)
| ~ min_precedes(X1,sK3(X0),tptp0)
| ~ min_precedes(sK2(X0),X1,tptp0) ),
inference(superposition,[status(thm)],[c_57,c_79]) ).
tcf(c_2157,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( root_occ(X0,sK4(X1,X2,X3))
| ~ root(X0,X1)
| ~ min_precedes(X2,X3,X1)
| ~ subactivity_occurrence(X0,sK4(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_59,c_86]) ).
tcf(c_2316,plain,
! [X0: $i,X1: $i] :
( next_subocc(sK2(X0),sK1(sK2(X0)),tptp0)
| ~ arboreal(sK2(X0))
| ~ occurrence_of(X1,tptp0)
| ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK2(X0),X1) ),
inference(superposition,[status(thm)],[c_51,c_2019]) ).
tcf(c_2317,plain,
! [X0: $i,X1: $i] :
( occurrence_of(sK1(sK2(X0)),tptp1)
| ~ arboreal(sK2(X0))
| ~ occurrence_of(X1,tptp0)
| ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK2(X0),X1) ),
inference(superposition,[status(thm)],[c_50,c_2019]) ).
tcf(c_2330,plain,
( next_subocc(sK2(sK0),sK3(sK0),tptp0)
| ~ occurrence_of(sK0,tptp0) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_2381,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X4 )
| ~ min_precedes(X2,X3,X1)
| ~ root_occ(X4,sK4(X1,X2,X3))
| ~ root_occ(X0,sK4(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_59,c_85]) ).
tcf(c_2619,plain,
! [X0: $i] :
( ( tptp1 = tptp3 )
| ~ occurrence_of(X0,tptp3)
| ~ occurrence_of(X0,tptp1) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_3269,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sK7(X0,sK4(X1,X2,X3)) = X1 )
| ~ min_precedes(X2,X3,X1)
| ~ root_occ(X0,sK4(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_59,c_1989]) ).
tcf(c_3827,plain,
( min_precedes(sK2(sK0),sK3(sK0),tptp0)
| ~ next_subocc(sK2(sK0),sK3(sK0),tptp0) ),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_5672,plain,
tptp3 = tptp3,
inference(instantiation,[status(thm)],[c_1118]) ).
tcf(c_6172,plain,
( occurrence_of(sK4(tptp0,sK2(sK0),sK3(sK0)),tptp0)
| ~ min_precedes(sK2(sK0),sK3(sK0),tptp0) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_7519,plain,
! [X0: $i,X1: $i,X2: $i] :
( root_occ(X0,sK4(X2,X0,X1))
| ~ root(X0,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_60,c_2157]) ).
tcf(c_7598,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK7(X0,sK4(X2,X0,X1)) = X2 )
| ~ root(X0,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_7519,c_3269]) ).
tcf(c_7696,plain,
! [X0: $i] :
( ( sK7(sK2(X0),sK4(tptp0,sK2(X0),sK3(X0))) = tptp0 )
| ~ occurrence_of(X0,tptp0)
| ~ root(sK2(X0),tptp0) ),
inference(superposition,[status(thm)],[c_1882,c_7598]) ).
tcf(c_8644,plain,
! [X0: $i,X1: $i] :
( occurrence_of(sK1(sK2(X0)),tptp1)
| ~ subactivity_occurrence(sK2(X0),X1)
| ~ occurrence_of(X0,tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(global_subsumption_just,[status(thm)],[c_2317,c_1066,c_2317]) ).
tcf(c_8645,plain,
! [X0: $i,X1: $i] :
( occurrence_of(sK1(sK2(X0)),tptp1)
| ~ occurrence_of(X1,tptp0)
| ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK2(X0),X1) ),
inference(renaming,[status(thm)],[c_8644]) ).
tcf(c_8657,plain,
! [X0: $i] :
( occurrence_of(sK1(sK2(X0)),tptp1)
| ~ occurrence_of(X0,tptp0) ),
inference(superposition,[status(thm)],[c_1783,c_8645]) ).
tcf(c_9299,plain,
! [X0: $i,X1: $i] :
( next_subocc(sK2(X0),sK1(sK2(X0)),tptp0)
| ~ subactivity_occurrence(sK2(X0),X1)
| ~ occurrence_of(X0,tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(global_subsumption_just,[status(thm)],[c_2316,c_1066,c_2316]) ).
tcf(c_9300,plain,
! [X0: $i,X1: $i] :
( next_subocc(sK2(X0),sK1(sK2(X0)),tptp0)
| ~ occurrence_of(X1,tptp0)
| ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK2(X0),X1) ),
inference(renaming,[status(thm)],[c_9299]) ).
tcf(c_9312,plain,
! [X0: $i] :
( next_subocc(sK2(X0),sK1(sK2(X0)),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(superposition,[status(thm)],[c_1783,c_9300]) ).
tcf(c_9494,plain,
! [X0: $i] :
( min_precedes(sK2(X0),sK1(sK2(X0)),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(superposition,[status(thm)],[c_9312,c_78]) ).
tcf(c_9518,plain,
! [X0: $i] :
( ~ occurrence_of(X0,tptp0)
| ~ min_precedes(sK1(sK2(X0)),sK3(X0),tptp0) ),
inference(superposition,[status(thm)],[c_9494,c_2135]) ).
tcf(c_11524,plain,
( ( sK7(sK2(sK0),sK4(tptp0,sK2(sK0),sK3(sK0))) = tptp0 )
| ~ occurrence_of(sK0,tptp0) ),
inference(superposition,[status(thm)],[c_2059,c_7696]) ).
tcf(c_11525,plain,
sK7(sK2(sK0),sK4(tptp0,sK2(sK0),sK3(sK0))) = tptp0,
inference(forward_subsumption_resolution,[status(thm)],[c_11524,c_49]) ).
tcf(c_11532,plain,
( occurrence_of(sK4(tptp0,sK2(sK0),sK3(sK0)),tptp0)
| ~ root_occ(sK2(sK0),sK4(tptp0,sK2(sK0),sK3(sK0))) ),
inference(superposition,[status(thm)],[c_11525,c_87]) ).
tcf(c_12108,plain,
( ( tptp1 = tptp3 )
| ~ occurrence_of(sK1(sK2(sK0)),tptp3)
| ~ occurrence_of(sK1(sK2(sK0)),tptp1) ),
inference(instantiation,[status(thm)],[c_2619]) ).
tcf(c_12227,plain,
occurrence_of(sK4(tptp0,sK2(sK0),sK3(sK0)),tptp0),
inference(global_subsumption_just,[status(thm)],[c_11532,c_49,c_2330,c_3827,c_6172]) ).
tcf(c_12237,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ root_occ(X1,sK4(tptp0,sK2(sK0),sK3(sK0)))
| ~ root_occ(X0,sK4(tptp0,sK2(sK0),sK3(sK0))) ),
inference(superposition,[status(thm)],[c_12227,c_85]) ).
tcf(c_12239,plain,
! [X0: $i] :
( root_occ(X0,sK4(tptp0,sK2(sK0),sK3(sK0)))
| ~ root(X0,tptp0)
| ~ subactivity_occurrence(X0,sK4(tptp0,sK2(sK0),sK3(sK0))) ),
inference(superposition,[status(thm)],[c_12227,c_86]) ).
tcf(c_13200,plain,
( root_occ(sK2(sK0),sK4(tptp0,sK2(sK0),sK3(sK0)))
| ~ root(sK2(sK0),tptp0)
| ~ min_precedes(sK2(sK0),sK3(sK0),tptp0) ),
inference(superposition,[status(thm)],[c_60,c_12239]) ).
tcf(c_13211,plain,
( root_occ(sK2(sK0),sK4(tptp0,sK2(sK0),sK3(sK0)))
| ~ min_precedes(sK2(sK0),sK3(sK0),tptp0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13200,c_2059]) ).
tcf(c_13293,plain,
root_occ(sK2(sK0),sK4(tptp0,sK2(sK0),sK3(sK0))),
inference(global_subsumption_just,[status(thm)],[c_13211,c_49,c_2330,c_3827,c_13211]) ).
tcf(c_13927,plain,
! [X0: $i] :
( ( sK2(sK0) = X0 )
| ~ root_occ(X0,sK4(tptp0,sK2(sK0),sK3(sK0))) ),
inference(superposition,[status(thm)],[c_13293,c_12237]) ).
tcf(c_13944,plain,
( ( sK2(sK4(tptp0,sK2(sK0),sK3(sK0))) = sK2(sK0) )
| ~ occurrence_of(sK4(tptp0,sK2(sK0),sK3(sK0)),tptp0) ),
inference(superposition,[status(thm)],[c_54,c_13927]) ).
tcf(c_13947,plain,
sK2(sK4(tptp0,sK2(sK0),sK3(sK0))) = sK2(sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_13944,c_12227]) ).
tcf(c_13968,plain,
( min_precedes(sK2(sK0),sK1(sK2(sK0)),tptp0)
| ~ occurrence_of(sK4(tptp0,sK2(sK0),sK3(sK0)),tptp0) ),
inference(superposition,[status(thm)],[c_13947,c_9494]) ).
tcf(c_13973,plain,
( occurrence_of(sK1(sK2(sK0)),tptp1)
| ~ occurrence_of(sK4(tptp0,sK2(sK0),sK3(sK0)),tptp0) ),
inference(superposition,[status(thm)],[c_13947,c_8657]) ).
tcf(c_13996,plain,
occurrence_of(sK1(sK2(sK0)),tptp1),
inference(forward_subsumption_resolution,[status(thm)],[c_13973,c_12227]) ).
tcf(c_13999,plain,
min_precedes(sK2(sK0),sK1(sK2(sK0)),tptp0),
inference(forward_subsumption_resolution,[status(thm)],[c_13968,c_12227]) ).
tcf(c_14992,plain,
( ( sK7(sK2(sK0),sK4(tptp0,sK2(sK0),sK1(sK2(sK0)))) = tptp0 )
| ~ root(sK2(sK0),tptp0) ),
inference(superposition,[status(thm)],[c_13999,c_7598]) ).
tcf(c_15005,plain,
sK7(sK2(sK0),sK4(tptp0,sK2(sK0),sK1(sK2(sK0)))) = tptp0,
inference(forward_subsumption_resolution,[status(thm)],[c_14992,c_2059]) ).
tcf(c_15499,plain,
( occurrence_of(sK4(tptp0,sK2(sK0),sK1(sK2(sK0))),tptp0)
| ~ root_occ(sK2(sK0),sK4(tptp0,sK2(sK0),sK1(sK2(sK0)))) ),
inference(superposition,[status(thm)],[c_15005,c_87]) ).
tcf(c_15546,plain,
( occurrence_of(sK4(tptp0,sK2(sK0),sK1(sK2(sK0))),tptp0)
| ~ root(sK2(sK0),tptp0)
| ~ min_precedes(sK2(sK0),sK1(sK2(sK0)),tptp0) ),
inference(superposition,[status(thm)],[c_7519,c_15499]) ).
tcf(c_15547,plain,
occurrence_of(sK4(tptp0,sK2(sK0),sK1(sK2(sK0))),tptp0),
inference(forward_subsumption_resolution,[status(thm)],[c_15546,c_2059,c_13999]) ).
tcf(c_15628,plain,
! [X0: $i] :
( root_occ(X0,sK4(tptp0,sK2(sK0),sK1(sK2(sK0))))
| ~ root(X0,tptp0)
| ~ subactivity_occurrence(X0,sK4(tptp0,sK2(sK0),sK1(sK2(sK0)))) ),
inference(superposition,[status(thm)],[c_15547,c_86]) ).
tcf(c_17040,plain,
( root_occ(sK2(sK0),sK4(tptp0,sK2(sK0),sK1(sK2(sK0))))
| ~ root(sK2(sK0),tptp0)
| ~ min_precedes(sK2(sK0),sK1(sK2(sK0)),tptp0) ),
inference(superposition,[status(thm)],[c_60,c_15628]) ).
tcf(c_17048,plain,
root_occ(sK2(sK0),sK4(tptp0,sK2(sK0),sK1(sK2(sK0)))),
inference(forward_subsumption_resolution,[status(thm)],[c_17040,c_2059,c_13999]) ).
tcf(c_17165,plain,
! [X0: $i] :
( ( sK2(sK0) = X0 )
| ~ min_precedes(sK2(sK0),sK1(sK2(sK0)),tptp0)
| ~ root_occ(X0,sK4(tptp0,sK2(sK0),sK1(sK2(sK0)))) ),
inference(superposition,[status(thm)],[c_17048,c_2381]) ).
tcf(c_17168,plain,
! [X0: $i] :
( ( sK2(sK0) = X0 )
| ~ root_occ(X0,sK4(tptp0,sK2(sK0),sK1(sK2(sK0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17165,c_13999]) ).
tcf(c_17519,plain,
( subactivity_occurrence(sK1(sK2(sK0)),sK4(tptp0,sK2(sK0),sK1(sK2(sK0))))
| ~ min_precedes(sK2(sK0),sK1(sK2(sK0)),tptp0) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_23839,plain,
( ( sK2(sK4(tptp0,sK2(sK0),sK1(sK2(sK0)))) = sK2(sK0) )
| ~ occurrence_of(sK4(tptp0,sK2(sK0),sK1(sK2(sK0))),tptp0) ),
inference(superposition,[status(thm)],[c_54,c_17168]) ).
tcf(c_23842,plain,
sK2(sK4(tptp0,sK2(sK0),sK1(sK2(sK0)))) = sK2(sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_23839,c_15547]) ).
tcf(c_23869,plain,
( ~ occurrence_of(sK4(tptp0,sK2(sK0),sK1(sK2(sK0))),tptp0)
| ~ min_precedes(sK1(sK2(sK0)),sK3(sK4(tptp0,sK2(sK0),sK1(sK2(sK0)))),tptp0) ),
inference(superposition,[status(thm)],[c_23842,c_9518]) ).
tcf(c_23907,plain,
~ min_precedes(sK1(sK2(sK0)),sK3(sK4(tptp0,sK2(sK0),sK1(sK2(sK0)))),tptp0),
inference(forward_subsumption_resolution,[status(thm)],[c_23869,c_15547]) ).
tcf(c_35406,plain,
( leaf_occ(sK3(sK4(tptp0,sK2(sK0),sK1(sK2(sK0)))),sK4(tptp0,sK2(sK0),sK1(sK2(sK0))))
| ~ occurrence_of(sK4(tptp0,sK2(sK0),sK1(sK2(sK0))),tptp0) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_35408,plain,
( occurrence_of(sK3(sK4(tptp0,sK2(sK0),sK1(sK2(sK0)))),tptp3)
| ~ occurrence_of(sK4(tptp0,sK2(sK0),sK1(sK2(sK0))),tptp0) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_127141,plain,
! [X0: $i,X1: $i,X2: $i] :
( occurrence_of(X0,X2)
| ~ occurrence_of(sK3(X1),tptp3)
| ( X2 != tptp3 )
| ( X0 != sK3(X1) ) ),
inference(instantiation,[status(thm)],[c_1121]) ).
tcf(c_129322,plain,
! [X0: $i,X1: $i] :
( occurrence_of(X0,tptp3)
| ~ occurrence_of(sK3(X1),tptp3)
| ( tptp3 != tptp3 )
| ( X0 != sK3(X1) ) ),
inference(instantiation,[status(thm)],[c_127141]) ).
tcf(c_129683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( min_precedes(X1,sK3(X3),X2)
| ( X1 = sK3(X3) )
| ~ root_occ(X0,X4)
| ~ subactivity_occurrence(X1,X4)
| ~ occurrence_of(X4,X2)
| ~ leaf_occ(sK3(X3),X4)
| ~ min_precedes(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_132926,plain,
! [X0: $i,X1: $i] :
( min_precedes(sK1(sK2(sK0)),sK3(X1),tptp0)
| ( sK1(sK2(sK0)) = sK3(X1) )
| ~ occurrence_of(X0,tptp0)
| ~ root_occ(sK2(sK0),X0)
| ~ leaf_occ(sK3(X1),X0)
| ~ subactivity_occurrence(sK1(sK2(sK0)),X0)
| ~ min_precedes(sK2(sK0),sK1(sK2(sK0)),tptp0) ),
inference(instantiation,[status(thm)],[c_129683]) ).
tcf(c_137960,plain,
! [X0: $i] :
( min_precedes(sK1(sK2(sK0)),sK3(X0),tptp0)
| ( sK1(sK2(sK0)) = sK3(X0) )
| ~ min_precedes(sK2(sK0),sK1(sK2(sK0)),tptp0)
| ~ occurrence_of(sK4(tptp0,sK2(sK0),sK1(sK2(sK0))),tptp0)
| ~ root_occ(sK2(sK0),sK4(tptp0,sK2(sK0),sK1(sK2(sK0))))
| ~ leaf_occ(sK3(X0),sK4(tptp0,sK2(sK0),sK1(sK2(sK0))))
| ~ subactivity_occurrence(sK1(sK2(sK0)),sK4(tptp0,sK2(sK0),sK1(sK2(sK0)))) ),
inference(instantiation,[status(thm)],[c_132926]) ).
tcf(c_158089,plain,
( min_precedes(sK1(sK2(sK0)),sK3(sK4(tptp0,sK2(sK0),sK1(sK2(sK0)))),tptp0)
| ( sK1(sK2(sK0)) = sK3(sK4(tptp0,sK2(sK0),sK1(sK2(sK0)))) )
| ~ min_precedes(sK2(sK0),sK1(sK2(sK0)),tptp0)
| ~ occurrence_of(sK4(tptp0,sK2(sK0),sK1(sK2(sK0))),tptp0)
| ~ root_occ(sK2(sK0),sK4(tptp0,sK2(sK0),sK1(sK2(sK0))))
| ~ subactivity_occurrence(sK1(sK2(sK0)),sK4(tptp0,sK2(sK0),sK1(sK2(sK0))))
| ~ leaf_occ(sK3(sK4(tptp0,sK2(sK0),sK1(sK2(sK0)))),sK4(tptp0,sK2(sK0),sK1(sK2(sK0)))) ),
inference(instantiation,[status(thm)],[c_137960]) ).
tcf(c_197905,plain,
( occurrence_of(sK1(sK2(sK0)),tptp3)
| ~ occurrence_of(sK3(sK4(tptp0,sK2(sK0),sK1(sK2(sK0)))),tptp3)
| ( tptp3 != tptp3 )
| ( sK1(sK2(sK0)) != sK3(sK4(tptp0,sK2(sK0),sK1(sK2(sK0)))) ) ),
inference(instantiation,[status(thm)],[c_129322]) ).
tcf(c_197907,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_197905,c_158089,c_35406,c_35408,c_23907,c_17519,c_17048,c_15547,c_13999,c_13996,c_12108,c_5672,c_65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : PRO006+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.18/0.43 % Computer : n011.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Thu Sep 24 06:26:12 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.18/0.49 Running first-order theorem proving
% 0.18/0.49 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
% 0.26/0.51
% 0.26/0.51 % ======== iProver multi-core TPTP/SMT =========
% 0.26/0.51
% 0.26/0.51 % Detected problem language: tptp
% 0.26/0.53 % Proving...
% 59.87/15.06 % SZS status Started for theBenchmark.p
% 59.87/15.06 % SZS status Theorem for theBenchmark.p
% 59.87/15.06
% 59.87/15.06 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 59.87/15.06
% 59.87/15.06 % ------ iProver source info
% 59.87/15.06
% 59.87/15.06 % git: date: 2026-07-19 20:42:38 +0200
% 59.87/15.06 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 59.87/15.06 % git: non_committed_changes: false
% 59.87/15.06
% 59.87/15.06 % ------ Parsing...
% 59.87/15.06 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 59.87/15.06
% 59.87/15.06 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 59.87/15.06
% 59.87/15.06 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 59.87/15.06
% 59.87/15.06 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 59.87/15.06 % ------ Proving...
% 59.87/15.06 % ------ Problem Properties
% 59.87/15.06
% 59.87/15.06 %
% 59.87/15.06 % clauses 48
% 59.87/15.06 % conjectures 1
% 59.87/15.06 % EPR 30
% 59.87/15.06 % Horn 38
% 59.87/15.06 % unary 12
% 59.87/15.06 % binary 17
% 59.87/15.06 % lits 124
% 59.87/15.06 % lits eq 12
% 59.87/15.06 % fd_pure 0
% 59.87/15.06 % fd_pseudo 0
% 59.87/15.06 % fd_cond 0
% 59.87/15.06 % fd_pseudo_cond 6
% 59.87/15.06 % AC symbols 0
% 59.87/15.06
% 59.87/15.06 % ------ Schedule dynamic 5 is on
% 59.87/15.06
% 59.87/15.06 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 59.87/15.06
% 59.87/15.06
% 59.87/15.06 % ------
% 59.87/15.06 % Current options:
% 59.87/15.06 % ------
% 59.87/15.06
% 59.87/15.06
% 59.87/15.06 %
% 59.87/15.06
% 59.87/15.06 % ------ Proving...
% 59.87/15.06 % Proof_search_loop: time out after: 3645 full_loop iterations
% 59.87/15.06
% 59.87/15.06 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 59.87/15.06
% 59.87/15.06
% 59.87/15.06 % ------
% 59.87/15.06 % Current options:
% 59.87/15.06 % ------
% 59.87/15.06
% 59.87/15.06
% 59.87/15.06 %
% 59.87/15.06
% 59.87/15.06 % ------ Proving...
% 59.87/15.06 %
% 59.87/15.06
% 59.87/15.06 % SZS status Theorem for theBenchmark.p
% 59.87/15.06
% 59.87/15.06 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 59.87/15.06
% 59.87/15.06
%------------------------------------------------------------------------------