%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWV169+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 04:46:12 PM UTC 2025
% Result : Theorem 0.13s 0.33s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 69 ( 16 equ)
% Maximal formula atoms : 28 ( 6 avg)
% Number of connectives : 65 ( 7 ~; 4 |; 38 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-3 aty)
% Number of variables : 15 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cl5_nebula_init_0021,plain,
( ( leq(n0,pv10)
& leq(n0,pv11)
& leq(n0,pv65)
& leq(pv10,n135299)
& leq(pv11,n4)
& leq(pv65,n4)
& ! [A,B] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n135299)
& leq(B,n4) )
=> ( ( A = pv10
& gt(pv11,B) )
=> a_select3(q_init,A,B) = init ) )
& ! [C,D] :
( ( leq(n0,C)
& leq(n0,D)
& leq(C,n135299)
& leq(D,n4) )
=> ( gt(pv10,C)
=> a_select3(q_init,C,D) = init ) )
& ! [E] :
( ( leq(n0,E)
& leq(E,pred(pv10)) )
=> ! [F] :
( ( leq(n0,F)
& leq(F,n4) )
=> a_select3(q_init,E,F) = init ) )
& ! [G] :
( ( leq(n0,G)
& leq(G,n4) )
=> a_select3(center_init,G,n0) = init ) )
=> a_select3(center_init,pv65,n0) = init ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_init_0021) ).
fof(cl5_nebula_init_0021_negated,plain,
~ ( ( leq(n0,pv10)
& leq(n0,pv11)
& leq(n0,pv65)
& leq(pv10,n135299)
& leq(pv11,n4)
& leq(pv65,n4)
& ! [A,B] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n135299)
& leq(B,n4) )
=> ( ( A = pv10
& gt(pv11,B) )
=> a_select3(q_init,A,B) = init ) )
& ! [C,D] :
( ( leq(n0,C)
& leq(n0,D)
& leq(C,n135299)
& leq(D,n4) )
=> ( gt(pv10,C)
=> a_select3(q_init,C,D) = init ) )
& ! [E] :
( ( leq(n0,E)
& leq(E,pred(pv10)) )
=> ! [F] :
( ( leq(n0,F)
& leq(F,n4) )
=> a_select3(q_init,E,F) = init ) )
& ! [G] :
( ( leq(n0,G)
& leq(G,n4) )
=> a_select3(center_init,G,n0) = init ) )
=> a_select3(center_init,pv65,n0) = init ),
inference(negate_conjecture,[status(cth)],[cl5_nebula_init_0021]) ).
cnf(124,plain,
( ~ leq(X0,n4)
| ~ leq(n0,X0)
| a_select3(center_init,X0,n0) = init ),
inference(cnf,[status(esa)],[cl5_nebula_init_0021_negated]) ).
cnf(l0,plain,
( ~ leq(pv65,n4)
| ~ leq(n0,pv65)
| a_select3(center_init,pv65,n0) = init ),
inference(instantiation,[status(thm)],[124]) ).
cnf(120,plain,
leq(pv65,n4),
inference(cnf,[status(esa)],[cl5_nebula_init_0021_negated]) ).
cnf(l1,plain,
leq(pv65,n4),
inference(instantiation,[status(thm)],[120]) ).
cnf(117,plain,
leq(n0,pv65),
inference(cnf,[status(esa)],[cl5_nebula_init_0021_negated]) ).
cnf(l7,plain,
leq(n0,pv65),
inference(instantiation,[status(thm)],[117]) ).
cnf(125,plain,
a_select3(center_init,pv65,n0) != init,
inference(cnf,[status(esa)],[cl5_nebula_init_0021_negated]) ).
cnf(l3,plain,
a_select3(center_init,pv65,n0) != init,
inference(instantiation,[status(thm)],[125]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l7,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWV169+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% 0.00/0.10 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.29 % Computer : n020.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Jul 22 08:22:49 EDT 2025
% 0.09/0.29 % CPUTime :
% 0.09/0.30 % launching worker at depth: 3
% 0.09/0.30 % launching worker at depth: 1
% 0.09/0.30 % launching worker at depth: 6
% 0.09/0.30 % launching worker at depth: 7
% 0.09/0.30 % launching worker at depth: 8
% 0.09/0.30 % launching worker at depth: 4
% 0.09/0.30 % launching worker at depth: 5
% 0.09/0.30 % launching worker at depth: 2
% 0.13/0.33 % SZS status Theorem for theBenchmark
% 0.13/0.33 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------