%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : PRO010+1 : 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 : n031.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 231.30s 29.49s
% Output : CNFRefutation 231.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 3 unt; 0 def)
% Number of atoms : 80 ( 4 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 83 ( 30 ~; 25 |; 18 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 39 ( 1 sgn 10 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,plain,
! [X109] :
( occurrence_of(X109,tptp0)
=> ? [X110,X111] :
( leaf_occ(X111,X109)
& ( occurrence_of(X111,tptp1)
=> ~ ? [X112] :
( occurrence_of(X112,tptp2)
& min_precedes(X110,X112,tptp0) ) )
& ( occurrence_of(X111,tptp2)
=> ~ ? [X113] :
( occurrence_of(X113,tptp1)
& min_precedes(X110,X113,tptp0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(goals_negated,plain,
~ ! [X109] :
( occurrence_of(X109,tptp0)
=> ? [X110,X111] :
( leaf_occ(X111,X109)
& ( occurrence_of(X111,tptp1)
=> ~ ? [X112] :
( occurrence_of(X112,tptp2)
& min_precedes(X110,X112,tptp0) ) )
& ( occurrence_of(X111,tptp2)
=> ~ ? [X113] :
( occurrence_of(X113,tptp1)
& min_precedes(X110,X113,tptp0) ) ) ) ),
inference(negate_conjecture,[status(cth)],[goals]) ).
cnf(85,plain,
occurrence_of(sK23,tptp0),
inference(cnf,[status(esa)],[goals_negated]) ).
cnf(l0,plain,
occurrence_of(sK23,tptp0),
inference(instantiation,[status(thm)],[85]) ).
fof(sos_35,plain,
! [X105] :
( occurrence_of(X105,tptp0)
=> ? [X106,X107,X108] :
( occurrence_of(X106,tptp3)
& root_occ(X106,X105)
& occurrence_of(X107,tptp4)
& next_subocc(X106,X107,tptp0)
& ( occurrence_of(X108,tptp1)
| occurrence_of(X108,tptp2) )
& next_subocc(X107,X108,tptp0)
& leaf_occ(X108,X105) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_35) ).
cnf(72,plain,
( ~ occurrence_of(X0,tptp0)
| leaf_occ(sK22(X0),X0) ),
inference(cnf,[status(esa)],[sos_35]) ).
cnf(l1,plain,
( ~ occurrence_of(sK23,tptp0)
| leaf_occ(sK22(sK23),sK23) ),
inference(instantiation,[status(thm)],[72]) ).
cnf(88,plain,
( ~ leaf_occ(X0,sK23)
| min_precedes(X1,sK24(X1,X0),tptp0)
| sP0(X1,X0) ),
inference(cnf,[status(esa)],[goals_negated]) ).
cnf(l1025,plain,
( ~ leaf_occ(sK22(sK23),sK23)
| min_precedes(sK22(sK23),sK24(sK22(sK23),sK22(sK23)),tptp0)
| sP0(sK22(sK23),sK22(sK23)) ),
inference(instantiation,[status(thm)],[88]) ).
cnf(89,plain,
( min_precedes(X0,sK25(X0,X1),tptp0)
| ~ sP0(X0,X1) ),
inference(cnf,[status(esa)],[goals_negated]) ).
cnf(l1289,plain,
( min_precedes(sK22(sK23),sK25(sK22(sK23),sK22(sK23)),tptp0)
| ~ sP0(sK22(sK23),sK22(sK23)) ),
inference(instantiation,[status(thm)],[89]) ).
fof(sos_02,plain,
! [X4,X5,X6] :
( ( occurrence_of(X4,X5)
& occurrence_of(X4,X6) )
=> X5 = X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
cnf(4,plain,
( ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2)
| X1 = X2 ),
inference(cnf,[status(esa)],[sos_02]) ).
cnf(l1509,plain,
( ~ occurrence_of(sK23,tptp0)
| ~ occurrence_of(sK23,sK18(sK22(sK23),sK23))
| tptp0 = sK18(sK22(sK23),sK23) ),
inference(instantiation,[status(thm)],[4]) ).
fof(sos_34,plain,
! [X102,X103] :
( leaf_occ(X102,X103)
<=> ? [X104] :
( occurrence_of(X103,X104)
& subactivity_occurrence(X102,X103)
& leaf(X102,X104) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_34) ).
cnf(62,plain,
( ~ leaf_occ(X0,X1)
| occurrence_of(X1,sK18(X0,X1)) ),
inference(cnf,[status(esa)],[sos_34]) ).
cnf(l1544,plain,
( ~ leaf_occ(sK22(sK23),sK23)
| occurrence_of(sK23,sK18(sK22(sK23),sK23)) ),
inference(instantiation,[status(thm)],[62]) ).
fof(sos_21,plain,
! [X56,X57] :
( leaf(X56,X57)
<=> ( ( root(X56,X57)
| ? [X58] : min_precedes(X58,X56,X57) )
& ~ ? [X59] : min_precedes(X56,X59,X57) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_21) ).
cnf(32,plain,
( ~ min_precedes(X0,X1,X2)
| ~ leaf(X0,X2) ),
inference(cnf,[status(esa)],[sos_21]) ).
cnf(l3077,plain,
( ~ min_precedes(sK22(sK23),sK25(sK22(sK23),sK22(sK23)),sK18(sK22(sK23),sK23))
| ~ leaf(sK22(sK23),sK18(sK22(sK23),sK23)) ),
inference(instantiation,[status(thm)],[32]) ).
cnf(l2643,plain,
( ~ occurrence_of(sK23,tptp0)
| ~ occurrence_of(sK23,sK18(sK22(sK23),sK23))
| tptp0 = sK18(sK22(sK23),sK23) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(64,plain,
( ~ leaf_occ(X0,X1)
| leaf(X0,sK18(X0,X1)) ),
inference(cnf,[status(esa)],[sos_34]) ).
cnf(l3098,plain,
( ~ leaf_occ(sK22(sK23),sK23)
| leaf(sK22(sK23),sK18(sK22(sK23),sK23)) ),
inference(instantiation,[status(thm)],[64]) ).
cnf(l3082,plain,
( ~ leaf_occ(sK22(sK23),sK23)
| occurrence_of(sK23,sK18(sK22(sK23),sK23)) ),
inference(instantiation,[status(thm)],[62]) ).
cnf(l2765,plain,
( ~ min_precedes(sK22(sK23),sK24(sK22(sK23),sK22(sK23)),sK18(sK22(sK23),sK23))
| ~ leaf(sK22(sK23),sK18(sK22(sK23),sK23)) ),
inference(instantiation,[status(thm)],[32]) ).
cnf(l2866,plain,
( ~ leaf_occ(sK22(sK23),sK23)
| leaf(sK22(sK23),sK18(sK22(sK23),sK23)) ),
inference(instantiation,[status(thm)],[64]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l1025,l1289,l1509,l1544,l3077,l2643,l3098,l3082,l2765,l2866]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PRO010+1 : TPTP v9.0.0. Released v4.0.0.
% 0.07/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n031.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jul 21 15:37:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 0.19/0.54 % launching worker at depth: 11
% 17.91/2.63 % launching worker at depth: 12
% 231.30/29.49 % SZS status Theorem for theBenchmark
% 231.30/29.49 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------