%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PRO014+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n013.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 02:31:37 PM UTC 2026
% Result : Theorem 3.12s 1.08s
% Output : CNFRefutation 3.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 80 ( 10 unt; 0 def)
% Number of atoms : 384 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 519 ( 215 ~; 226 |; 72 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 9 usr; 3 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-3 aty)
% Number of variables : 155 ( 0 sgn 134 !; 21 ?; 58 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2,X3] :
( ( min_precedes(X1,X2,X3)
& min_precedes(X0,X1,X3) )
=> min_precedes(X0,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos) ).
fof(f5,axiom,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
<=> ( ~ ? [X3] :
( min_precedes(X3,X1,X2)
& min_precedes(X0,X3,X2) )
& min_precedes(X0,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04) ).
fof(f33,axiom,
! [X0,X1] :
( ( ~ leaf_occ(X0,X1)
& arboreal(X0)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,tptp0) )
=> ? [X2,X3,X4] :
( leaf(X4,tptp0)
& next_subocc(X3,X4,tptp0)
& ( occurrence_of(X4,tptp1)
| occurrence_of(X4,tptp2) )
& next_subocc(X2,X3,tptp0)
& occurrence_of(X3,tptp4)
& next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).
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/sandbox2/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(f50,plain,
! [X0,X1,X2,X3] :
( ~ min_precedes(X1,X2,X3)
| ~ min_precedes(X0,X1,X3)
| min_precedes(X0,X2,X3) ),
inference(ennf_transformation,[],[f1]) ).
fof(f51,plain,
! [X0,X1,X2,X3] :
( ~ min_precedes(X1,X2,X3)
| ~ min_precedes(X0,X1,X3)
| min_precedes(X0,X2,X3) ),
inference(flattening,[],[f50]) ).
fof(f58,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,[],[f5]) ).
fof(f92,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ? [X2,X3,X4] :
( leaf(X4,tptp0)
& next_subocc(X3,X4,tptp0)
& ( occurrence_of(X4,tptp1)
| occurrence_of(X4,tptp2) )
& next_subocc(X2,X3,tptp0)
& occurrence_of(X3,tptp4)
& next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp3) ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f93,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ? [X2,X3,X4] :
( leaf(X4,tptp0)
& next_subocc(X3,X4,tptp0)
& ( occurrence_of(X4,tptp1)
| occurrence_of(X4,tptp2) )
& next_subocc(X2,X3,tptp0)
& occurrence_of(X3,tptp4)
& next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp3) ) ),
inference(flattening,[],[f92]) ).
fof(f94,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(f95,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,[],[f94]) ).
fof(f96,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,[],[f58]) ).
fof(f97,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,[],[f96]) ).
fof(f98,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,[],[f97]) ).
fof(f99,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(sK0(X0,X1,X2),X1,X2)
& min_precedes(X0,sK0(X0,X1,X2),X2) )
| ~ min_precedes(X0,X1,X2)
| next_subocc(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1,X2))],[f98]) ).
fof(f118,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ( leaf(sK15(X0),tptp0)
& next_subocc(sK14(X0),sK15(X0),tptp0)
& ( occurrence_of(sK15(X0),tptp1)
| occurrence_of(sK15(X0),tptp2) )
& next_subocc(sK13(X0),sK14(X0),tptp0)
& occurrence_of(sK14(X0),tptp4)
& next_subocc(X0,sK13(X0),tptp0)
& occurrence_of(sK13(X0),tptp3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14,sK15]),skolemize(X2,sK13(X0)),skolemize(X3,sK14(X0)),skolemize(X4,sK15(X0))],[f93]) ).
fof(f119,plain,
( ~ leaf_occ(sK16,sK17)
& arboreal(sK16)
& subactivity_occurrence(sK16,sK17)
& occurrence_of(sK17,tptp0)
& ! [X2,X3] :
( ~ leaf(X3,tptp0)
| ~ min_precedes(X2,X3,tptp0)
| ( ~ occurrence_of(X3,tptp1)
& ~ occurrence_of(X3,tptp2) )
| ~ next_subocc(sK16,X2,tptp0)
| ~ occurrence_of(X2,tptp3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17]),skolemize(X0,sK16),skolemize(X1,sK17)],[f95]) ).
fof(f120,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X1,X2,X3)
| ~ min_precedes(X0,X1,X3)
| min_precedes(X0,X2,X3) ),
inference(cnf_transformation,[],[f51]) ).
fof(f125,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f179,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| leaf(sK15(X0),tptp0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f180,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| next_subocc(sK14(X0),sK15(X0),tptp0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f181,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| occurrence_of(sK15(X0),tptp1)
| occurrence_of(sK15(X0),tptp2) ),
inference(cnf_transformation,[],[f118]) ).
fof(f182,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| next_subocc(sK13(X0),sK14(X0),tptp0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f184,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| next_subocc(X0,sK13(X0),tptp0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f185,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| occurrence_of(sK13(X0),tptp3) ),
inference(cnf_transformation,[],[f118]) ).
fof(f198,plain,
~ leaf_occ(sK16,sK17),
inference(cnf_transformation,[],[f119]) ).
fof(f199,plain,
arboreal(sK16),
inference(cnf_transformation,[],[f119]) ).
fof(f200,plain,
subactivity_occurrence(sK16,sK17),
inference(cnf_transformation,[],[f119]) ).
fof(f201,plain,
occurrence_of(sK17,tptp0),
inference(cnf_transformation,[],[f119]) ).
fof(f202,plain,
! [X2,X3] :
( ~ leaf(X3,tptp0)
| ~ min_precedes(X2,X3,tptp0)
| ~ occurrence_of(X3,tptp1)
| ~ next_subocc(sK16,X2,tptp0)
| ~ occurrence_of(X2,tptp3) ),
inference(cnf_transformation,[],[f119]) ).
fof(f203,plain,
! [X2,X3] :
( ~ leaf(X3,tptp0)
| ~ min_precedes(X2,X3,tptp0)
| ~ occurrence_of(X3,tptp2)
| ~ next_subocc(sK16,X2,tptp0)
| ~ occurrence_of(X2,tptp3) ),
inference(cnf_transformation,[],[f119]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( min_precedes(X0,X3,X2)
| ~ min_precedes(X1,X3,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] :
( min_precedes(X0,X1,X2)
| ~ next_subocc(X0,X1,X2) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i] :
( leaf_occ(X0,X1)
| occurrence_of(sK13(X0),tptp3)
| ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f185]) ).
tcf(c_109,plain,
! [X0: $i,X1: $i] :
( leaf_occ(X0,X1)
| next_subocc(X0,sK13(X0),tptp0)
| ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f184]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i] :
( leaf_occ(X0,X1)
| next_subocc(sK13(X0),sK14(X0),tptp0)
| ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i] :
( leaf_occ(X0,X1)
| occurrence_of(sK15(X0),tptp1)
| occurrence_of(sK15(X0),tptp2)
| ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i] :
( leaf_occ(X0,X1)
| next_subocc(sK14(X0),sK15(X0),tptp0)
| ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i] :
( leaf_occ(X0,X1)
| leaf(sK15(X0),tptp0)
| ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_127,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ leaf(X1,tptp0)
| ~ occurrence_of(X1,tptp2)
| ~ occurrence_of(X0,tptp3)
| ~ next_subocc(sK16,X0,tptp0)
| ~ min_precedes(X0,X1,tptp0) ),
inference(cnf_transformation,[],[f203]) ).
tcf(c_128,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ leaf(X1,tptp0)
| ~ occurrence_of(X1,tptp1)
| ~ occurrence_of(X0,tptp3)
| ~ next_subocc(sK16,X0,tptp0)
| ~ min_precedes(X0,X1,tptp0) ),
inference(cnf_transformation,[],[f202]) ).
tcf(c_129,negated_conjecture,
occurrence_of(sK17,tptp0),
inference(cnf_transformation,[],[f201]) ).
tcf(c_130,negated_conjecture,
subactivity_occurrence(sK16,sK17),
inference(cnf_transformation,[],[f200]) ).
tcf(c_131,negated_conjecture,
arboreal(sK16),
inference(cnf_transformation,[],[f199]) ).
tcf(c_132,negated_conjecture,
~ leaf_occ(sK16,sK17),
inference(cnf_transformation,[],[f198]) ).
tcf(c_6278,negated_conjecture,
~ leaf_occ(sK16,sK17),
inference(subtyping,[status(esa)],[c_132]) ).
tcf(c_6282,negated_conjecture,
! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2] :
( ~ leaf(X1_iProver_leaf_occ_2,tptp0)
| ~ occurrence_of(X1_iProver_leaf_occ_2,tptp1)
| ~ occurrence_of(X0_iProver_leaf_occ_2,tptp3)
| ~ next_subocc(sK16,X0_iProver_leaf_occ_2,tptp0)
| ~ min_precedes(X0_iProver_leaf_occ_2,X1_iProver_leaf_occ_2,tptp0) ),
inference(subtyping,[status(esa)],[c_128]) ).
tcf(c_6283,negated_conjecture,
! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2] :
( ~ leaf(X1_iProver_leaf_occ_2,tptp0)
| ~ occurrence_of(X1_iProver_leaf_occ_2,tptp2)
| ~ occurrence_of(X0_iProver_leaf_occ_2,tptp3)
| ~ next_subocc(sK16,X0_iProver_leaf_occ_2,tptp0)
| ~ min_precedes(X0_iProver_leaf_occ_2,X1_iProver_leaf_occ_2,tptp0) ),
inference(subtyping,[status(esa)],[c_127]) ).
tcf(c_6296,plain,
! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2] :
( leaf_occ(X0_iProver_leaf_occ_2,X1_iProver_leaf_occ_2)
| leaf(sK15(X0_iProver_leaf_occ_2),tptp0)
| ~ arboreal(X0_iProver_leaf_occ_2)
| ~ occurrence_of(X1_iProver_leaf_occ_2,tptp0)
| ~ subactivity_occurrence(X0_iProver_leaf_occ_2,X1_iProver_leaf_occ_2) ),
inference(subtyping,[status(esa)],[c_114]) ).
tcf(c_6297,plain,
! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2] :
( leaf_occ(X0_iProver_leaf_occ_2,X1_iProver_leaf_occ_2)
| next_subocc(sK14(X0_iProver_leaf_occ_2),sK15(X0_iProver_leaf_occ_2),tptp0)
| ~ arboreal(X0_iProver_leaf_occ_2)
| ~ occurrence_of(X1_iProver_leaf_occ_2,tptp0)
| ~ subactivity_occurrence(X0_iProver_leaf_occ_2,X1_iProver_leaf_occ_2) ),
inference(subtyping,[status(esa)],[c_113]) ).
tcf(c_6298,plain,
! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2] :
( leaf_occ(X0_iProver_leaf_occ_2,X1_iProver_leaf_occ_2)
| occurrence_of(sK15(X0_iProver_leaf_occ_2),tptp1)
| occurrence_of(sK15(X0_iProver_leaf_occ_2),tptp2)
| ~ arboreal(X0_iProver_leaf_occ_2)
| ~ occurrence_of(X1_iProver_leaf_occ_2,tptp0)
| ~ subactivity_occurrence(X0_iProver_leaf_occ_2,X1_iProver_leaf_occ_2) ),
inference(subtyping,[status(esa)],[c_112]) ).
tcf(c_6299,plain,
! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2] :
( leaf_occ(X0_iProver_leaf_occ_2,X1_iProver_leaf_occ_2)
| next_subocc(sK13(X0_iProver_leaf_occ_2),sK14(X0_iProver_leaf_occ_2),tptp0)
| ~ arboreal(X0_iProver_leaf_occ_2)
| ~ occurrence_of(X1_iProver_leaf_occ_2,tptp0)
| ~ subactivity_occurrence(X0_iProver_leaf_occ_2,X1_iProver_leaf_occ_2) ),
inference(subtyping,[status(esa)],[c_111]) ).
tcf(c_6301,plain,
! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2] :
( leaf_occ(X0_iProver_leaf_occ_2,X1_iProver_leaf_occ_2)
| next_subocc(X0_iProver_leaf_occ_2,sK13(X0_iProver_leaf_occ_2),tptp0)
| ~ arboreal(X0_iProver_leaf_occ_2)
| ~ occurrence_of(X1_iProver_leaf_occ_2,tptp0)
| ~ subactivity_occurrence(X0_iProver_leaf_occ_2,X1_iProver_leaf_occ_2) ),
inference(subtyping,[status(esa)],[c_109]) ).
tcf(c_6302,plain,
! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2] :
( leaf_occ(X0_iProver_leaf_occ_2,X1_iProver_leaf_occ_2)
| occurrence_of(sK13(X0_iProver_leaf_occ_2),tptp3)
| ~ arboreal(X0_iProver_leaf_occ_2)
| ~ occurrence_of(X1_iProver_leaf_occ_2,tptp0)
| ~ subactivity_occurrence(X0_iProver_leaf_occ_2,X1_iProver_leaf_occ_2) ),
inference(subtyping,[status(esa)],[c_108]) ).
tcf(c_6352,plain,
! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X0_iProver_occurrence_of_2: iProver_occurrence_of_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2] :
( min_precedes(X0_iProver_leaf_occ_2,X1_iProver_leaf_occ_2,X0_iProver_occurrence_of_2)
| ~ next_subocc(X0_iProver_leaf_occ_2,X1_iProver_leaf_occ_2,X0_iProver_occurrence_of_2) ),
inference(subtyping,[status(esa)],[c_55]) ).
tcf(c_6358,plain,
! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X0_iProver_occurrence_of_2: iProver_occurrence_of_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2,X2_iProver_leaf_occ_2: iProver_leaf_occ_2] :
( min_precedes(X0_iProver_leaf_occ_2,X2_iProver_leaf_occ_2,X0_iProver_occurrence_of_2)
| ~ min_precedes(X1_iProver_leaf_occ_2,X2_iProver_leaf_occ_2,X0_iProver_occurrence_of_2)
| ~ min_precedes(X0_iProver_leaf_occ_2,X1_iProver_leaf_occ_2,X0_iProver_occurrence_of_2) ),
inference(subtyping,[status(esa)],[c_49]) ).
tcf(c_7506,plain,
( leaf_occ(sK16,sK17)
| leaf(sK15(sK16),tptp0)
| ~ arboreal(sK16)
| ~ subactivity_occurrence(sK16,sK17)
| ~ occurrence_of(sK17,tptp0) ),
inference(instantiation,[status(thm)],[c_6296]) ).
tcf(c_7508,plain,
( leaf_occ(sK16,sK17)
| occurrence_of(sK13(sK16),tptp3)
| ~ arboreal(sK16)
| ~ subactivity_occurrence(sK16,sK17)
| ~ occurrence_of(sK17,tptp0) ),
inference(instantiation,[status(thm)],[c_6302]) ).
tcf(c_7522,plain,
! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2] :
( ~ occurrence_of(X0_iProver_leaf_occ_2,tptp3)
| ~ leaf(sK15(sK16),tptp0)
| ~ occurrence_of(sK15(sK16),tptp2)
| ~ next_subocc(sK16,X0_iProver_leaf_occ_2,tptp0)
| ~ min_precedes(X0_iProver_leaf_occ_2,sK15(sK16),tptp0) ),
inference(instantiation,[status(thm)],[c_6283]) ).
tcf(c_7572,plain,
( ~ leaf(sK15(sK16),tptp0)
| ~ occurrence_of(sK15(sK16),tptp2)
| ~ occurrence_of(sK13(sK16),tptp3)
| ~ next_subocc(sK16,sK13(sK16),tptp0)
| ~ min_precedes(sK13(sK16),sK15(sK16),tptp0) ),
inference(instantiation,[status(thm)],[c_7522]) ).
tcf(c_7583,plain,
! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2] :
( ~ occurrence_of(X0_iProver_leaf_occ_2,tptp3)
| ~ leaf(sK15(X1_iProver_leaf_occ_2),tptp0)
| ~ next_subocc(sK16,X0_iProver_leaf_occ_2,tptp0)
| ~ occurrence_of(sK15(X1_iProver_leaf_occ_2),tptp1)
| ~ min_precedes(X0_iProver_leaf_occ_2,sK15(X1_iProver_leaf_occ_2),tptp0) ),
inference(instantiation,[status(thm)],[c_6282]) ).
tcf(c_7619,plain,
! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2] :
( leaf_occ(sK16,X0_iProver_leaf_occ_2)
| next_subocc(sK16,sK13(sK16),tptp0)
| ~ arboreal(sK16)
| ~ subactivity_occurrence(sK16,X0_iProver_leaf_occ_2)
| ~ occurrence_of(X0_iProver_leaf_occ_2,tptp0) ),
inference(instantiation,[status(thm)],[c_6301]) ).
tcf(c_7700,plain,
! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2] :
( ~ occurrence_of(sK13(sK16),tptp3)
| ~ leaf(sK15(X0_iProver_leaf_occ_2),tptp0)
| ~ occurrence_of(sK15(X0_iProver_leaf_occ_2),tptp1)
| ~ next_subocc(sK16,sK13(sK16),tptp0)
| ~ min_precedes(sK13(sK16),sK15(X0_iProver_leaf_occ_2),tptp0) ),
inference(instantiation,[status(thm)],[c_7583]) ).
tcf(c_7701,plain,
( ~ leaf(sK15(sK16),tptp0)
| ~ occurrence_of(sK15(sK16),tptp1)
| ~ occurrence_of(sK13(sK16),tptp3)
| ~ next_subocc(sK16,sK13(sK16),tptp0)
| ~ min_precedes(sK13(sK16),sK15(sK16),tptp0) ),
inference(instantiation,[status(thm)],[c_7700]) ).
tcf(c_7882,plain,
( leaf_occ(sK16,sK17)
| next_subocc(sK16,sK13(sK16),tptp0)
| ~ arboreal(sK16)
| ~ subactivity_occurrence(sK16,sK17)
| ~ occurrence_of(sK17,tptp0) ),
inference(instantiation,[status(thm)],[c_7619]) ).
tcf(c_8095,plain,
! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2] :
( leaf_occ(X0_iProver_leaf_occ_2,sK17)
| next_subocc(sK14(X0_iProver_leaf_occ_2),sK15(X0_iProver_leaf_occ_2),tptp0)
| ~ arboreal(X0_iProver_leaf_occ_2)
| ~ occurrence_of(sK17,tptp0)
| ~ subactivity_occurrence(X0_iProver_leaf_occ_2,sK17) ),
inference(instantiation,[status(thm)],[c_6297]) ).
tcf(c_8096,plain,
( leaf_occ(sK16,sK17)
| next_subocc(sK14(sK16),sK15(sK16),tptp0)
| ~ arboreal(sK16)
| ~ subactivity_occurrence(sK16,sK17)
| ~ occurrence_of(sK17,tptp0) ),
inference(instantiation,[status(thm)],[c_8095]) ).
tcf(c_8097,plain,
! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2] :
( leaf_occ(X0_iProver_leaf_occ_2,sK17)
| next_subocc(sK13(X0_iProver_leaf_occ_2),sK14(X0_iProver_leaf_occ_2),tptp0)
| ~ arboreal(X0_iProver_leaf_occ_2)
| ~ occurrence_of(sK17,tptp0)
| ~ subactivity_occurrence(X0_iProver_leaf_occ_2,sK17) ),
inference(instantiation,[status(thm)],[c_6299]) ).
tcf(c_8098,plain,
( leaf_occ(sK16,sK17)
| next_subocc(sK13(sK16),sK14(sK16),tptp0)
| ~ arboreal(sK16)
| ~ subactivity_occurrence(sK16,sK17)
| ~ occurrence_of(sK17,tptp0) ),
inference(instantiation,[status(thm)],[c_8097]) ).
tcf(c_8570,plain,
! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2] :
( min_precedes(sK14(X0_iProver_leaf_occ_2),sK15(X0_iProver_leaf_occ_2),tptp0)
| ~ next_subocc(sK14(X0_iProver_leaf_occ_2),sK15(X0_iProver_leaf_occ_2),tptp0) ),
inference(instantiation,[status(thm)],[c_6352]) ).
tcf(c_8571,plain,
( min_precedes(sK14(sK16),sK15(sK16),tptp0)
| ~ next_subocc(sK14(sK16),sK15(sK16),tptp0) ),
inference(instantiation,[status(thm)],[c_8570]) ).
tcf(c_8601,plain,
! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2] :
( min_precedes(sK13(X0_iProver_leaf_occ_2),sK14(X0_iProver_leaf_occ_2),tptp0)
| ~ next_subocc(sK13(X0_iProver_leaf_occ_2),sK14(X0_iProver_leaf_occ_2),tptp0) ),
inference(instantiation,[status(thm)],[c_6352]) ).
tcf(c_8602,plain,
( min_precedes(sK13(sK16),sK14(sK16),tptp0)
| ~ next_subocc(sK13(sK16),sK14(sK16),tptp0) ),
inference(instantiation,[status(thm)],[c_8601]) ).
tcf(c_9753,plain,
! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2] :
( min_precedes(X1_iProver_leaf_occ_2,sK15(X0_iProver_leaf_occ_2),tptp0)
| ~ min_precedes(X1_iProver_leaf_occ_2,sK14(X0_iProver_leaf_occ_2),tptp0)
| ~ min_precedes(sK14(X0_iProver_leaf_occ_2),sK15(X0_iProver_leaf_occ_2),tptp0) ),
inference(instantiation,[status(thm)],[c_6358]) ).
tcf(c_12918,plain,
( occurrence_of(sK15(sK16),tptp1)
| occurrence_of(sK15(sK16),tptp2)
| ~ arboreal(sK16)
| ~ subactivity_occurrence(sK16,sK17)
| ~ occurrence_of(sK17,tptp0) ),
inference(superposition,[status(thm)],[c_6298,c_6278]) ).
tcf(c_13711,plain,
( occurrence_of(sK15(sK16),tptp1)
| occurrence_of(sK15(sK16),tptp2) ),
inference(global_subsumption_just,[status(thm)],[c_12918,c_131,c_130,c_129,c_12918]) ).
tcf(c_14088,plain,
! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2] :
( min_precedes(sK13(sK16),sK15(X0_iProver_leaf_occ_2),tptp0)
| ~ min_precedes(sK13(sK16),sK14(X0_iProver_leaf_occ_2),tptp0)
| ~ min_precedes(sK14(X0_iProver_leaf_occ_2),sK15(X0_iProver_leaf_occ_2),tptp0) ),
inference(instantiation,[status(thm)],[c_9753]) ).
tcf(c_14089,plain,
( min_precedes(sK13(sK16),sK15(sK16),tptp0)
| ~ min_precedes(sK14(sK16),sK15(sK16),tptp0)
| ~ min_precedes(sK13(sK16),sK14(sK16),tptp0) ),
inference(instantiation,[status(thm)],[c_14088]) ).
tcf(c_14090,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_14089,c_13711,c_8602,c_8571,c_8098,c_8096,c_7882,c_7701,c_7572,c_7506,c_7508,c_132,c_129,c_130,c_131]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PRO014+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n013.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 06:30:36 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 3.12/1.08 % SZS status Started for theBenchmark.p
% 3.12/1.08 % SZS status Theorem for theBenchmark.p
% 3.12/1.08
% 3.12/1.08 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.12/1.08
% 3.12/1.08 % ------ iProver source info
% 3.12/1.08
% 3.12/1.08 % git: date: 2026-07-19 20:42:38 +0200
% 3.12/1.08 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.12/1.08 % git: non_committed_changes: false
% 3.12/1.08
% 3.12/1.08 % ------ Parsing...
% 3.12/1.08 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.12/1.08
% 3.12/1.08 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 3.12/1.08
% 3.12/1.08 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.12/1.08
% 3.12/1.08 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.12/1.08 % ------ Proving...
% 3.12/1.08 % ------ Problem Properties
% 3.12/1.08
% 3.12/1.08 %
% 3.12/1.08 % clauses 83
% 3.12/1.08 % conjectures 6
% 3.12/1.08 % EPR 49
% 3.12/1.08 % Horn 63
% 3.12/1.08 % unary 16
% 3.12/1.08 % binary 32
% 3.12/1.08 % lits 215
% 3.12/1.08 % lits eq 10
% 3.12/1.08 % fd_pure 0
% 3.12/1.08 % fd_pseudo 0
% 3.12/1.08 % fd_cond 0
% 3.12/1.08 % fd_pseudo_cond 4
% 3.12/1.08 % AC symbols 0
% 3.12/1.08
% 3.12/1.08 % ------ Input Options Time Limit: Unbounded
% 3.12/1.08
% 3.12/1.08
% 3.12/1.08 % ------
% 3.12/1.08 % Current options:
% 3.12/1.08 % ------
% 3.12/1.08
% 3.12/1.08
% 3.12/1.08 %
% 3.12/1.08
% 3.12/1.08 % ------ Proving...
% 3.12/1.08 %
% 3.12/1.08
% 3.12/1.08 % SZS status Theorem for theBenchmark.p
% 3.12/1.08
% 3.12/1.08 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.12/1.08
% 3.12/1.08
%------------------------------------------------------------------------------