%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : PRO009+4 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Jul 25 12:47:07 PM UTC 2025
% Result : Theorem 155.20s 19.85s
% Output : CNFRefutation 155.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 52 ( 9 unt; 0 def)
% Number of atoms : 149 ( 14 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 169 ( 72 ~; 68 |; 22 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-1 aty)
% Number of variables : 44 ( 2 sgn 15 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,plain,
! [X105] :
( occurrence_of(X105,tptp0)
=> ? [X106,X107] :
( occurrence_of(X106,tptp3)
& root_occ(X106,X105)
& ( occurrence_of(X107,tptp2)
| occurrence_of(X107,tptp1) )
& min_precedes(X106,X107,tptp0)
& leaf_occ(X107,X105) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(goals_negated,plain,
~ ! [X105] :
( occurrence_of(X105,tptp0)
=> ? [X106,X107] :
( occurrence_of(X106,tptp3)
& root_occ(X106,X105)
& ( occurrence_of(X107,tptp2)
| occurrence_of(X107,tptp1) )
& min_precedes(X106,X107,tptp0)
& leaf_occ(X107,X105) ) ),
inference(negate_conjecture,[status(cth)],[goals]) ).
cnf(79,plain,
occurrence_of(sK20,tptp0),
inference(cnf,[status(esa)],[goals_negated]) ).
cnf(l0,plain,
occurrence_of(sK20,tptp0),
inference(instantiation,[status(thm)],[79]) ).
fof(sos_32,plain,
! [X101] :
( occurrence_of(X101,tptp0)
=> ? [X102,X103,X104] :
( occurrence_of(X102,tptp3)
& root_occ(X102,X101)
& occurrence_of(X103,tptp4)
& next_subocc(X102,X103,tptp0)
& ( occurrence_of(X104,tptp2)
| occurrence_of(X104,tptp1) )
& next_subocc(X103,X104,tptp0)
& leaf_occ(X104,X101) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).
cnf(64,plain,
( ~ occurrence_of(X0,tptp0)
| occurrence_of(sK19(X0),tptp1)
| occurrence_of(sK19(X0),tptp2) ),
inference(cnf,[status(esa)],[sos_32]) ).
cnf(l1,plain,
( ~ occurrence_of(sK20,tptp0)
| occurrence_of(sK19(sK20),tptp1)
| occurrence_of(sK19(sK20),tptp2) ),
inference(instantiation,[status(thm)],[64]) ).
fof(sos_02,plain,
! [X8,X9,X10,X11] :
( ( occurrence_of(X9,X8)
& subactivity_occurrence(X10,X9)
& leaf_occ(X11,X9)
& arboreal(X10)
& ~ min_precedes(X10,X11,X8) )
=> X11 = X10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
cnf(3,plain,
( ~ occurrence_of(X0,X1)
| ~ leaf_occ(X2,X0)
| ~ subactivity_occurrence(X3,X0)
| ~ arboreal(X3)
| min_precedes(X3,X2,X1)
| X2 = X3 ),
inference(cnf,[status(esa)],[sos_02]) ).
cnf(l151,plain,
( ~ occurrence_of(sK20,tptp0)
| ~ leaf_occ(sK19(sK20),sK20)
| ~ subactivity_occurrence(sK17(sK20),sK20)
| ~ arboreal(sK17(sK20))
| min_precedes(sK17(sK20),sK19(sK20),tptp0)
| sK19(sK20) = sK17(sK20) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(66,plain,
( ~ occurrence_of(X0,tptp0)
| leaf_occ(sK19(X0),X0) ),
inference(cnf,[status(esa)],[sos_32]) ).
cnf(l156,plain,
( ~ occurrence_of(sK20,tptp0)
| leaf_occ(sK19(sK20),sK20) ),
inference(instantiation,[status(thm)],[66]) ).
fof(sos_25,plain,
! [X75,X76,X77] :
( next_subocc(X75,X76,X77)
=> ( arboreal(X75)
& arboreal(X76) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_25) ).
cnf(49,plain,
( ~ next_subocc(X0,X1,X2)
| arboreal(X0) ),
inference(cnf,[status(esa)],[sos_25]) ).
cnf(l987,plain,
( ~ next_subocc(sK17(sK20),sK18(sK20),tptp0)
| arboreal(sK17(sK20)) ),
inference(instantiation,[status(thm)],[49]) ).
fof(sos_08,plain,
! [X28,X29,X30] :
( ( occurrence_of(X28,X29)
& occurrence_of(X28,X30) )
=> X29 = X30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).
cnf(14,plain,
( ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2)
| X1 = X2 ),
inference(cnf,[status(esa)],[sos_08]) ).
cnf(l224,plain,
( ~ occurrence_of(sK17(sK20),tptp3)
| ~ occurrence_of(sK17(sK20),tptp1)
| tptp3 = tptp1 ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l4,plain,
( ~ occurrence_of(sK20,tptp0)
| ~ leaf_occ(sK19(sK20),sK20)
| ~ subactivity_occurrence(sK17(sK20),sK20)
| ~ arboreal(sK17(sK20))
| min_precedes(sK17(sK20),sK19(sK20),tptp0)
| sK19(sK20) = sK17(sK20) ),
inference(instantiation,[status(thm)],[3]) ).
fof(sos_19,plain,
! [X58,X59] :
( root_occ(X58,X59)
<=> ? [X60] :
( occurrence_of(X59,X60)
& subactivity_occurrence(X58,X59)
& root(X58,X60) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_19) ).
cnf(38,plain,
( ~ root_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf,[status(esa)],[sos_19]) ).
cnf(l163,plain,
( ~ root_occ(sK17(sK20),sK20)
| subactivity_occurrence(sK17(sK20),sK20) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(l27,plain,
( ~ occurrence_of(sK20,tptp0)
| leaf_occ(sK19(sK20),sK20) ),
inference(instantiation,[status(thm)],[66]) ).
cnf(61,plain,
( ~ occurrence_of(X0,tptp0)
| root_occ(sK17(X0),X0) ),
inference(cnf,[status(esa)],[sos_32]) ).
cnf(l168,plain,
( ~ occurrence_of(sK20,tptp0)
| root_occ(sK17(sK20),sK20) ),
inference(instantiation,[status(thm)],[61]) ).
cnf(l30,plain,
( ~ next_subocc(sK17(sK20),sK18(sK20),tptp0)
| arboreal(sK17(sK20)) ),
inference(instantiation,[status(thm)],[49]) ).
cnf(63,plain,
( ~ occurrence_of(X0,tptp0)
| next_subocc(sK17(X0),sK18(X0),tptp0) ),
inference(cnf,[status(esa)],[sos_32]) ).
cnf(l50,plain,
( ~ occurrence_of(sK20,tptp0)
| next_subocc(sK17(sK20),sK18(sK20),tptp0) ),
inference(instantiation,[status(thm)],[63]) ).
cnf(80,plain,
( ~ root_occ(X0,sK20)
| ~ occurrence_of(X0,tptp3)
| ~ occurrence_of(X1,tptp2)
| ~ leaf_occ(X1,sK20)
| ~ min_precedes(X0,X1,tptp0) ),
inference(cnf,[status(esa)],[goals_negated]) ).
cnf(l58,plain,
( ~ root_occ(sK17(sK20),sK20)
| ~ occurrence_of(sK17(sK20),tptp3)
| ~ occurrence_of(sK19(sK20),tptp2)
| ~ leaf_occ(sK19(sK20),sK20)
| ~ min_precedes(sK17(sK20),sK19(sK20),tptp0) ),
inference(instantiation,[status(thm)],[80]) ).
cnf(l59,plain,
( ~ occurrence_of(sK20,tptp0)
| root_occ(sK17(sK20),sK20) ),
inference(instantiation,[status(thm)],[61]) ).
cnf(l379,plain,
( ~ occurrence_of(sK20,tptp0)
| leaf_occ(sK19(sK20),sK20) ),
inference(instantiation,[status(thm)],[66]) ).
cnf(l328,plain,
( ~ occurrence_of(sK17(sK20),tptp3)
| ~ occurrence_of(sK17(sK20),tptp2)
| tptp3 = tptp2 ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l1006,plain,
( ~ occurrence_of(sK20,tptp0)
| next_subocc(sK17(sK20),sK18(sK20),tptp0) ),
inference(instantiation,[status(thm)],[63]) ).
fof(sos_43,plain,
tptp3 != tptp1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_43) ).
cnf(77,plain,
tptp3 != tptp1,
inference(cnf,[status(esa)],[sos_43]) ).
cnf(l226,plain,
tptp3 != tptp1,
inference(instantiation,[status(thm)],[77]) ).
cnf(60,plain,
( ~ occurrence_of(X0,tptp0)
| occurrence_of(sK17(X0),tptp3) ),
inference(cnf,[status(esa)],[sos_32]) ).
cnf(l74,plain,
( ~ occurrence_of(sK20,tptp0)
| occurrence_of(sK17(sK20),tptp3) ),
inference(instantiation,[status(thm)],[60]) ).
cnf(l254,plain,
( ~ occurrence_of(sK20,tptp0)
| occurrence_of(sK17(sK20),tptp3) ),
inference(instantiation,[status(thm)],[60]) ).
cnf(l36,plain,
( ~ root_occ(sK17(sK20),sK20)
| subactivity_occurrence(sK17(sK20),sK20) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(l362,plain,
( ~ occurrence_of(sK20,tptp0)
| occurrence_of(sK17(sK20),tptp3) ),
inference(instantiation,[status(thm)],[60]) ).
fof(sos_42,plain,
tptp3 != tptp2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_42) ).
cnf(76,plain,
tptp3 != tptp2,
inference(cnf,[status(esa)],[sos_42]) ).
cnf(l329,plain,
tptp3 != tptp2,
inference(instantiation,[status(thm)],[76]) ).
cnf(l87,plain,
( ~ occurrence_of(sK20,tptp0)
| root_occ(sK17(sK20),sK20) ),
inference(instantiation,[status(thm)],[61]) ).
cnf(81,plain,
( ~ root_occ(X0,sK20)
| ~ occurrence_of(X0,tptp3)
| ~ occurrence_of(X1,tptp1)
| ~ leaf_occ(X1,sK20)
| ~ min_precedes(X0,X1,tptp0) ),
inference(cnf,[status(esa)],[goals_negated]) ).
cnf(l773,plain,
( ~ root_occ(sK17(sK20),sK20)
| ~ occurrence_of(sK17(sK20),tptp3)
| ~ occurrence_of(sK19(sK20),tptp1)
| ~ leaf_occ(sK19(sK20),sK20)
| ~ min_precedes(sK17(sK20),sK19(sK20),tptp0) ),
inference(instantiation,[status(thm)],[81]) ).
cnf(l1004,plain,
( ~ occurrence_of(sK20,tptp0)
| root_occ(sK17(sK20),sK20) ),
inference(instantiation,[status(thm)],[61]) ).
cnf(l774,plain,
( ~ occurrence_of(sK20,tptp0)
| leaf_occ(sK19(sK20),sK20) ),
inference(instantiation,[status(thm)],[66]) ).
cnf(l1010,plain,
( ~ occurrence_of(sK20,tptp0)
| occurrence_of(sK17(sK20),tptp3) ),
inference(instantiation,[status(thm)],[60]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l151,l156,l987,l224,l4,l163,l27,l168,l30,l50,l58,l59,l379,l328,l1006,l226,l74,l254,l36,l362,l329,l87,l773,l1004,l774,l1010]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PRO009+4 : TPTP v9.0.0. Released v4.0.0.
% 0.11/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Jul 21 15:37:19 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.18/0.34 % launching worker at depth: 6
% 0.18/0.34 % launching worker at depth: 1
% 0.18/0.34 % launching worker at depth: 4
% 0.18/0.34 % launching worker at depth: 2
% 0.18/0.34 % launching worker at depth: 3
% 0.18/0.34 % launching worker at depth: 8
% 0.18/0.34 % launching worker at depth: 7
% 0.18/0.34 % launching worker at depth: 5
% 0.18/0.34 % launching worker at depth: 9
% 0.18/0.36 % launching worker at depth: 10
% 2.49/0.65 % launching worker at depth: 11
% 43.78/5.82 % launching worker at depth: 12
% 155.20/19.85 % SZS status Theorem for theBenchmark
% 155.20/19.85 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------