%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : PRO009+2 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n023.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 12:47:06 PM UTC 2025
% Result : Theorem 36.16s 4.88s
% Output : CNFRefutation 36.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 37 ( 3 unt; 0 def)
% Number of atoms : 108 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 121 ( 50 ~; 49 |; 17 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-1 aty)
% Number of variables : 35 ( 0 sgn 10 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,plain,
! [X99] :
( occurrence_of(X99,tptp0)
=> ? [X100,X101] :
( occurrence_of(X100,tptp3)
& root_occ(X100,X99)
& ( occurrence_of(X101,tptp2)
| occurrence_of(X101,tptp1) )
& min_precedes(X100,X101,tptp0)
& leaf_occ(X101,X99) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(goals_negated,plain,
~ ! [X99] :
( occurrence_of(X99,tptp0)
=> ? [X100,X101] :
( occurrence_of(X100,tptp3)
& root_occ(X100,X99)
& ( occurrence_of(X101,tptp2)
| occurrence_of(X101,tptp1) )
& min_precedes(X100,X101,tptp0)
& leaf_occ(X101,X99) ) ),
inference(negate_conjecture,[status(cth)],[goals]) ).
cnf(82,plain,
occurrence_of(sK22,tptp0),
inference(cnf,[status(esa)],[goals_negated]) ).
cnf(l0,plain,
occurrence_of(sK22,tptp0),
inference(instantiation,[status(thm)],[82]) ).
fof(sos_32,plain,
! [X95] :
( occurrence_of(X95,tptp0)
=> ? [X96,X97,X98] :
( occurrence_of(X96,tptp3)
& root_occ(X96,X95)
& occurrence_of(X97,tptp4)
& next_subocc(X96,X97,tptp0)
& ( occurrence_of(X98,tptp2)
| occurrence_of(X98,tptp1) )
& next_subocc(X97,X98,tptp0)
& leaf_occ(X98,X95) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).
cnf(67,plain,
( ~ occurrence_of(X0,tptp0)
| occurrence_of(sK21(X0),tptp2)
| occurrence_of(sK21(X0),tptp1) ),
inference(cnf,[status(esa)],[sos_32]) ).
cnf(l1,plain,
( ~ occurrence_of(sK22,tptp0)
| occurrence_of(sK21(sK22),tptp2)
| occurrence_of(sK21(sK22),tptp1) ),
inference(instantiation,[status(thm)],[67]) ).
cnf(84,plain,
( ~ min_precedes(X0,X1,tptp0)
| ~ root_occ(X0,sK22)
| ~ leaf_occ(X1,sK22)
| ~ occurrence_of(X0,tptp3)
| ~ occurrence_of(X1,tptp1) ),
inference(cnf,[status(esa)],[goals_negated]) ).
cnf(l3,plain,
( ~ min_precedes(sK19(sK22),sK21(sK22),tptp0)
| ~ root_occ(sK19(sK22),sK22)
| ~ leaf_occ(sK21(sK22),sK22)
| ~ occurrence_of(sK19(sK22),tptp3)
| ~ occurrence_of(sK21(sK22),tptp1) ),
inference(instantiation,[status(thm)],[84]) ).
cnf(83,plain,
( ~ min_precedes(X0,X1,tptp0)
| ~ root_occ(X0,sK22)
| ~ leaf_occ(X1,sK22)
| ~ occurrence_of(X0,tptp3)
| ~ occurrence_of(X1,tptp2) ),
inference(cnf,[status(esa)],[goals_negated]) ).
cnf(l2,plain,
( ~ min_precedes(sK19(sK22),sK21(sK22),tptp0)
| ~ root_occ(sK19(sK22),sK22)
| ~ leaf_occ(sK21(sK22),sK22)
| ~ occurrence_of(sK19(sK22),tptp3)
| ~ occurrence_of(sK21(sK22),tptp2) ),
inference(instantiation,[status(thm)],[83]) ).
cnf(64,plain,
( ~ occurrence_of(X0,tptp0)
| root_occ(sK19(X0),X0) ),
inference(cnf,[status(esa)],[sos_32]) ).
cnf(l6,plain,
( ~ occurrence_of(sK22,tptp0)
| root_occ(sK19(sK22),sK22) ),
inference(instantiation,[status(thm)],[64]) ).
cnf(63,plain,
( ~ occurrence_of(X0,tptp0)
| occurrence_of(sK19(X0),tptp3) ),
inference(cnf,[status(esa)],[sos_32]) ).
cnf(l470,plain,
( ~ occurrence_of(sK22,tptp0)
| occurrence_of(sK19(sK22),tptp3) ),
inference(instantiation,[status(thm)],[63]) ).
cnf(l592,plain,
( ~ occurrence_of(sK22,tptp0)
| occurrence_of(sK19(sK22),tptp3) ),
inference(instantiation,[status(thm)],[63]) ).
cnf(69,plain,
( ~ occurrence_of(X0,tptp0)
| leaf_occ(sK21(X0),X0) ),
inference(cnf,[status(esa)],[sos_32]) ).
cnf(l5,plain,
( ~ occurrence_of(sK22,tptp0)
| leaf_occ(sK21(sK22),sK22) ),
inference(instantiation,[status(thm)],[69]) ).
fof(sos,plain,
! [X0,X1,X2,X3] :
( ( min_precedes(X0,X1,X3)
& min_precedes(X1,X2,X3) )
=> min_precedes(X0,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos) ).
cnf(0,plain,
( ~ min_precedes(X0,X1,X2)
| ~ min_precedes(X1,X3,X2)
| min_precedes(X0,X3,X2) ),
inference(cnf,[status(esa)],[sos]) ).
cnf(l165,plain,
( ~ min_precedes(sK19(sK22),sK20(sK22),tptp0)
| ~ min_precedes(sK20(sK22),sK21(sK22),tptp0)
| min_precedes(sK19(sK22),sK21(sK22),tptp0) ),
inference(instantiation,[status(thm)],[0]) ).
fof(sos_04,plain,
! [X15,X16,X17] :
( next_subocc(X15,X16,X17)
<=> ( min_precedes(X15,X16,X17)
& ~ ? [X18] :
( min_precedes(X15,X18,X17)
& min_precedes(X18,X16,X17) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).
cnf(4,plain,
( ~ next_subocc(X0,X1,X2)
| min_precedes(X0,X1,X2) ),
inference(cnf,[status(esa)],[sos_04]) ).
cnf(l171,plain,
( ~ next_subocc(sK19(sK22),sK20(sK22),tptp0)
| min_precedes(sK19(sK22),sK20(sK22),tptp0) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(66,plain,
( ~ occurrence_of(X0,tptp0)
| next_subocc(sK19(X0),sK20(X0),tptp0) ),
inference(cnf,[status(esa)],[sos_32]) ).
cnf(l237,plain,
( ~ occurrence_of(sK22,tptp0)
| next_subocc(sK19(sK22),sK20(sK22),tptp0) ),
inference(instantiation,[status(thm)],[66]) ).
cnf(l4,plain,
( ~ min_precedes(sK19(sK22),sK20(sK22),tptp0)
| ~ min_precedes(sK20(sK22),sK21(sK22),tptp0)
| min_precedes(sK19(sK22),sK21(sK22),tptp0) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l8,plain,
( ~ next_subocc(sK19(sK22),sK20(sK22),tptp0)
| min_precedes(sK19(sK22),sK20(sK22),tptp0) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l92,plain,
( ~ occurrence_of(sK22,tptp0)
| root_occ(sK19(sK22),sK22) ),
inference(instantiation,[status(thm)],[64]) ).
cnf(l10,plain,
( ~ occurrence_of(sK22,tptp0)
| next_subocc(sK19(sK22),sK20(sK22),tptp0) ),
inference(instantiation,[status(thm)],[66]) ).
cnf(l80,plain,
( ~ occurrence_of(sK22,tptp0)
| leaf_occ(sK21(sK22),sK22) ),
inference(instantiation,[status(thm)],[69]) ).
cnf(l178,plain,
( ~ next_subocc(sK20(sK22),sK21(sK22),tptp0)
| min_precedes(sK20(sK22),sK21(sK22),tptp0) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l7,plain,
( ~ next_subocc(sK20(sK22),sK21(sK22),tptp0)
| min_precedes(sK20(sK22),sK21(sK22),tptp0) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(68,plain,
( ~ occurrence_of(X0,tptp0)
| next_subocc(sK20(X0),sK21(X0),tptp0) ),
inference(cnf,[status(esa)],[sos_32]) ).
cnf(l47,plain,
( ~ occurrence_of(sK22,tptp0)
| next_subocc(sK20(sK22),sK21(sK22),tptp0) ),
inference(instantiation,[status(thm)],[68]) ).
cnf(l200,plain,
( ~ occurrence_of(sK22,tptp0)
| next_subocc(sK20(sK22),sK21(sK22),tptp0) ),
inference(instantiation,[status(thm)],[68]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l2,l6,l470,l592,l5,l165,l171,l237,l4,l8,l92,l10,l80,l178,l7,l47,l200]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PRO009+2 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Jul 21 15:37:19 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.36 % launching worker at depth: 10
% 1.77/0.61 % launching worker at depth: 11
% 20.83/2.97 % launching worker at depth: 12
% 36.16/4.88 % SZS status Theorem for theBenchmark
% 36.16/4.88 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------