%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : PRO010+2 : 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 : n021.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 5.32s 0.98s
% Output : CNFRefutation 5.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 3 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 59 ( 21 ~; 15 |; 15 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 27 ( 1 sgn 6 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,plain,
! [X99] :
( occurrence_of(X99,tptp0)
=> ? [X100,X101] :
( leaf_occ(X101,X99)
& ( occurrence_of(X101,tptp1)
=> ~ ? [X102] :
( occurrence_of(X102,tptp2)
& min_precedes(X100,X102,tptp0) ) )
& ( occurrence_of(X101,tptp2)
=> ~ ? [X103] :
( occurrence_of(X103,tptp1)
& min_precedes(X100,X103,tptp0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(goals_negated,plain,
~ ! [X99] :
( occurrence_of(X99,tptp0)
=> ? [X100,X101] :
( leaf_occ(X101,X99)
& ( occurrence_of(X101,tptp1)
=> ~ ? [X102] :
( occurrence_of(X102,tptp2)
& min_precedes(X100,X102,tptp0) ) )
& ( occurrence_of(X101,tptp2)
=> ~ ? [X103] :
( occurrence_of(X103,tptp1)
& min_precedes(X100,X103,tptp0) ) ) ) ),
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,tptp1)
| occurrence_of(X98,tptp2) )
& next_subocc(X97,X98,tptp0)
& leaf_occ(X98,X95) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).
cnf(69,plain,
( ~ occurrence_of(X0,tptp0)
| leaf_occ(sK21(X0),X0) ),
inference(cnf,[status(esa)],[sos_32]) ).
cnf(l1,plain,
( ~ occurrence_of(sK22,tptp0)
| leaf_occ(sK21(sK22),sK22) ),
inference(instantiation,[status(thm)],[69]) ).
cnf(85,plain,
( ~ leaf_occ(X0,sK22)
| min_precedes(X1,sK23(X1,X0),tptp0)
| sP0(X1,X0) ),
inference(cnf,[status(esa)],[goals_negated]) ).
cnf(l2,plain,
( ~ leaf_occ(sK21(sK22),sK22)
| min_precedes(sK21(sK22),sK23(sK21(sK22),sK21(sK22)),tptp0)
| sP0(sK21(sK22),sK21(sK22)) ),
inference(instantiation,[status(thm)],[85]) ).
cnf(86,plain,
( min_precedes(X0,sK24(X0,X1),tptp0)
| ~ sP0(X0,X1) ),
inference(cnf,[status(esa)],[goals_negated]) ).
cnf(l93,plain,
( min_precedes(sK21(sK22),sK24(sK21(sK22),sK21(sK22)),tptp0)
| ~ sP0(sK21(sK22),sK21(sK22)) ),
inference(instantiation,[status(thm)],[86]) ).
fof(sos_21,plain,
! [X60,X61,X62] :
( ( occurrence_of(X60,X62)
& leaf_occ(X61,X60) )
=> ~ ? [X63] : min_precedes(X61,X63,X62) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_21) ).
cnf(42,plain,
( ~ min_precedes(X0,X1,X2)
| ~ leaf_occ(X0,X3)
| ~ occurrence_of(X3,X2) ),
inference(cnf,[status(esa)],[sos_21]) ).
cnf(l105,plain,
( ~ min_precedes(sK21(sK22),sK24(sK21(sK22),sK21(sK22)),tptp0)
| ~ leaf_occ(sK21(sK22),sK22)
| ~ occurrence_of(sK22,tptp0) ),
inference(instantiation,[status(thm)],[42]) ).
cnf(l90,plain,
( ~ min_precedes(sK21(sK22),sK23(sK21(sK22),sK21(sK22)),tptp0)
| ~ leaf_occ(sK21(sK22),sK22)
| ~ occurrence_of(sK22,tptp0) ),
inference(instantiation,[status(thm)],[42]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l93,l105,l90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : PRO010+2 : TPTP v9.0.0. Released v4.0.0.
% 0.06/0.11 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32 % Computer : n021.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Jul 21 15:37:49 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % launching worker at depth: 2
% 0.11/0.33 % launching worker at depth: 3
% 0.11/0.33 % launching worker at depth: 1
% 0.11/0.33 % launching worker at depth: 5
% 0.11/0.33 % launching worker at depth: 4
% 0.11/0.33 % launching worker at depth: 6
% 0.11/0.33 % launching worker at depth: 7
% 0.11/0.33 % launching worker at depth: 8
% 0.11/0.33 % launching worker at depth: 9
% 0.11/0.34 % launching worker at depth: 10
% 0.18/0.52 % launching worker at depth: 11
% 5.32/0.98 % SZS status Theorem for theBenchmark
% 5.32/0.98 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------