%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWV067+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 04:46:01 PM UTC 2025
% Result : Theorem 33.67s 4.59s
% Output : CNFRefutation 33.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 26 ( 14 unt; 0 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 70 ( 23 ~; 18 |; 21 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-3 aty)
% Number of variables : 10 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cl5_nebula_array_0008,plain,
( ( leq(n0,pv10)
& leq(n1,pv63)
& leq(pv10,minus(n135300,n1))
& leq(pv63,minus(n5,n1)) )
=> ( leq(n0,pv10)
& leq(n0,pv63)
& leq(pv10,minus(n135300,n1))
& leq(pv63,minus(n5,n1))
& ( ~ gt(a_select3(q,pv10,pv63),pv78)
=> ( leq(n0,pv10)
& leq(pv10,minus(n135300,n1)) ) )
& ( gt(a_select3(q,pv10,pv63),pv78)
=> ( leq(n0,pv10)
& leq(pv10,minus(n135300,n1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_array_0008) ).
fof(cl5_nebula_array_0008_negated,plain,
~ ( ( leq(n0,pv10)
& leq(n1,pv63)
& leq(pv10,minus(n135300,n1))
& leq(pv63,minus(n5,n1)) )
=> ( leq(n0,pv10)
& leq(n0,pv63)
& leq(pv10,minus(n135300,n1))
& leq(pv63,minus(n5,n1))
& ( ~ gt(a_select3(q,pv10,pv63),pv78)
=> ( leq(n0,pv10)
& leq(pv10,minus(n135300,n1)) ) )
& ( gt(a_select3(q,pv10,pv63),pv78)
=> ( leq(n0,pv10)
& leq(pv10,minus(n135300,n1)) ) ) ) ),
inference(negate_conjecture,[status(cth)],[cl5_nebula_array_0008]) ).
cnf(116,plain,
leq(n1,pv63),
inference(cnf,[status(esa)],[cl5_nebula_array_0008_negated]) ).
cnf(l0,plain,
leq(n1,pv63),
inference(instantiation,[status(thm)],[116]) ).
fof(transitivity_leq,plain,
! [X,Y,Z] :
( ( leq(X,Y)
& leq(Y,Z) )
=> leq(X,Z) ),
file('Axioms/SWV003+0.ax',transitivity_leq) ).
cnf(4,plain,
( ~ leq(X0,X1)
| ~ leq(X1,X2)
| leq(X0,X2) ),
inference(cnf,[status(esa)],[transitivity_leq]) ).
cnf(l1,plain,
( ~ leq(n0,n1)
| ~ leq(n1,pv63)
| leq(n0,pv63) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(120,plain,
( ~ leq(n0,pv10)
| ~ leq(n0,pv63)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv63,minus(n5,n1))
| sP4 ),
inference(cnf,[status(esa)],[cl5_nebula_array_0008_negated]) ).
cnf(l3,plain,
( ~ leq(n0,pv10)
| ~ leq(n0,pv63)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv63,minus(n5,n1))
| sP4 ),
inference(instantiation,[status(thm)],[120]) ).
cnf(121,plain,
( ~ leq(n0,pv10)
| ~ leq(pv10,minus(n135300,n1))
| ~ sP4 ),
inference(cnf,[status(esa)],[cl5_nebula_array_0008_negated]) ).
cnf(l76,plain,
( ~ leq(n0,pv10)
| ~ leq(pv10,minus(n135300,n1))
| ~ sP4 ),
inference(instantiation,[status(thm)],[121]) ).
cnf(115,plain,
leq(n0,pv10),
inference(cnf,[status(esa)],[cl5_nebula_array_0008_negated]) ).
cnf(l12,plain,
leq(n0,pv10),
inference(instantiation,[status(thm)],[115]) ).
cnf(117,plain,
leq(pv10,minus(n135300,n1)),
inference(cnf,[status(esa)],[cl5_nebula_array_0008_negated]) ).
cnf(l32,plain,
leq(pv10,minus(n135300,n1)),
inference(instantiation,[status(thm)],[117]) ).
cnf(118,plain,
leq(pv63,minus(n5,n1)),
inference(cnf,[status(esa)],[cl5_nebula_array_0008_negated]) ).
cnf(l50,plain,
leq(pv63,minus(n5,n1)),
inference(instantiation,[status(thm)],[118]) ).
cnf(l173,plain,
leq(n0,pv10),
inference(instantiation,[status(thm)],[115]) ).
cnf(l174,plain,
leq(pv10,minus(n135300,n1)),
inference(instantiation,[status(thm)],[117]) ).
fof(leq_gt1,plain,
! [X,Y] :
( gt(Y,X)
=> leq(X,Y) ),
file('Axioms/SWV003+0.ax',leq_gt1) ).
cnf(9,plain,
( ~ gt(X0,X1)
| leq(X1,X0) ),
inference(cnf,[status(esa)],[leq_gt1]) ).
cnf(l33,plain,
( ~ gt(n1,n0)
| leq(n0,n1) ),
inference(instantiation,[status(thm)],[9]) ).
fof(gt_1_0,plain,
gt(n1,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_1_0) ).
cnf(136,plain,
gt(n1,n0),
inference(cnf,[status(esa)],[gt_1_0]) ).
cnf(l34,plain,
gt(n1,n0),
inference(instantiation,[status(thm)],[136]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l76,l12,l32,l50,l173,l174,l33,l34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWV067+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% 0.04/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n019.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 : Tue Jul 22 08:09:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 5
% 0.18/0.37 % launching worker at depth: 9
% 1.83/0.59 % launching worker at depth: 10
% 33.67/4.59 % SZS status Theorem for theBenchmark
% 33.67/4.59 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------