%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWV069+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 : 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 04:46:01 PM UTC 2025
% Result : Theorem 130.07s 16.71s
% Output : CNFRefutation 130.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 17 unt; 0 def)
% Number of atoms : 64 ( 3 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 50 ( 19 ~; 16 |; 9 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cl5_nebula_array_0010,plain,
( ( leq(n0,pv10)
& leq(pv10,minus(n135300,n1)) )
=> ( leq(n0,n0)
& leq(n0,pv10)
& leq(n0,minus(n5,n1))
& leq(pv10,minus(n135300,n1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_array_0010) ).
fof(cl5_nebula_array_0010_negated,plain,
~ ( ( leq(n0,pv10)
& leq(pv10,minus(n135300,n1)) )
=> ( leq(n0,n0)
& leq(n0,pv10)
& leq(n0,minus(n5,n1))
& leq(pv10,minus(n135300,n1)) ) ),
inference(negate_conjecture,[status(cth)],[cl5_nebula_array_0010]) ).
cnf(117,plain,
( ~ leq(n0,n0)
| ~ leq(n0,minus(n5,n1))
| ~ leq(n0,pv10)
| ~ leq(pv10,minus(n135300,n1)) ),
inference(cnf,[status(esa)],[cl5_nebula_array_0010_negated]) ).
cnf(l0,plain,
( ~ leq(n0,n0)
| ~ leq(n0,minus(n5,n1))
| ~ leq(n0,pv10)
| ~ leq(pv10,minus(n135300,n1)) ),
inference(instantiation,[status(thm)],[117]) ).
cnf(115,plain,
leq(n0,pv10),
inference(cnf,[status(esa)],[cl5_nebula_array_0010_negated]) ).
cnf(l117,plain,
leq(n0,pv10),
inference(instantiation,[status(thm)],[115]) ).
fof(leq_succ_succ,plain,
! [X,Y] :
( leq(succ(X),succ(Y))
<=> leq(X,Y) ),
file('Axioms/SWV003+0.ax',leq_succ_succ) ).
cnf(97,plain,
( ~ leq(succ(X0),succ(X1))
| leq(X0,X1) ),
inference(cnf,[status(esa)],[leq_succ_succ]) ).
cnf(l1,plain,
( ~ leq(succ(n0),succ(n0))
| leq(n0,n0) ),
inference(instantiation,[status(thm)],[97]) ).
fof(leq_succ_gt_equiv,plain,
! [X,Y] :
( leq(X,Y)
<=> gt(succ(Y),X) ),
file('Axioms/SWV003+0.ax',leq_succ_gt_equiv) ).
cnf(16,plain,
( ~ gt(succ(X0),X1)
| leq(X1,X0) ),
inference(cnf,[status(esa)],[leq_succ_gt_equiv]) ).
cnf(l4,plain,
( ~ gt(succ(succ(n0)),succ(n0))
| leq(succ(n0),succ(n0)) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(116,plain,
leq(pv10,minus(n135300,n1)),
inference(cnf,[status(esa)],[cl5_nebula_array_0010_negated]) ).
cnf(l115,plain,
leq(pv10,minus(n135300,n1)),
inference(instantiation,[status(thm)],[116]) ).
fof(gt_succ,plain,
! [X] : gt(succ(X),X),
file('Axioms/SWV003+0.ax',gt_succ) ).
cnf(13,plain,
gt(succ(X0),X0),
inference(cnf,[status(esa)],[gt_succ]) ).
cnf(l7,plain,
gt(succ(succ(n0)),succ(n0)),
inference(instantiation,[status(thm)],[13]) ).
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(l113,plain,
( ~ leq(n0,pred(n5))
| ~ leq(pred(n5),minus(n5,n1))
| leq(n0,minus(n5,n1)) ),
inference(instantiation,[status(thm)],[4]) ).
fof(leq_gt_pred,plain,
! [X,Y] :
( leq(X,pred(Y))
<=> gt(Y,X) ),
file('Axioms/SWV003+0.ax',leq_gt_pred) ).
cnf(12,plain,
( ~ gt(X0,X1)
| leq(X1,pred(X0)) ),
inference(cnf,[status(esa)],[leq_gt_pred]) ).
cnf(l114,plain,
( ~ gt(n5,n0)
| leq(n0,pred(n5)) ),
inference(instantiation,[status(thm)],[12]) ).
fof(pred_minus_1,plain,
! [X] : minus(X,n1) = pred(X),
file('Axioms/SWV003+0.ax',pred_minus_1) ).
cnf(94,plain,
minus(X0,n1) = pred(X0),
inference(cnf,[status(esa)],[pred_minus_1]) ).
cnf(l157,plain,
minus(n5,n1) = pred(n5),
inference(instantiation,[status(thm)],[94]) ).
fof(reflexivity_leq,plain,
! [X] : leq(X,X),
file('Axioms/SWV003+0.ax',reflexivity_leq) ).
cnf(3,plain,
leq(X0,X0),
inference(cnf,[status(esa)],[reflexivity_leq]) ).
cnf(l158,plain,
leq(minus(n5,n1),minus(n5,n1)),
inference(instantiation,[status(thm)],[3]) ).
fof(gt_5_0,plain,
gt(n5,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_0) ).
cnf(129,plain,
gt(n5,n0),
inference(cnf,[status(esa)],[gt_5_0]) ).
cnf(l125,plain,
gt(n5,n0),
inference(instantiation,[status(thm)],[129]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l117,l1,l4,l115,l7,l113,l114,l157,l158,l125]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV069+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% 0.03/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n031.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Jul 22 08:09:34 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.20/0.53 % launching worker at depth: 10
% 130.07/16.71 % SZS status Theorem for theBenchmark
% 130.07/16.71 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------