%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWV181+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 : n025.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 04:46:14 PM UTC 2025
% Result : Theorem 20.43s 2.89s
% Output : CNFRefutation 20.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 8 unt; 0 def)
% Number of atoms : 79 ( 12 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 73 ( 12 ~; 8 |; 29 &)
% ( 1 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 14 con; 0-3 aty)
% Number of variables : 28 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cl5_nebula_init_0081,plain,
( ( leq(tptp_float_0_001,pv76)
& leq(n1,loopcounter)
& gt(n1,loopcounter)
& ! [A] :
( ( leq(n0,A)
& leq(A,n135299) )
=> ! [B] :
( ( leq(n0,B)
& leq(B,n4) )
=> a_select3(q_init,A,B) = init ) )
& ! [C] :
( ( leq(n0,C)
& leq(C,n4) )
=> a_select3(center_init,C,n0) = init )
& ( gt(loopcounter,n0)
=> ! [D] :
( ( leq(n0,D)
& leq(D,n4) )
=> a_select2(mu_init,D) = init ) )
& ( gt(loopcounter,n0)
=> ! [E] :
( ( leq(n0,E)
& leq(E,n4) )
=> a_select2(rho_init,E) = init ) )
& ( gt(loopcounter,n0)
=> ! [F] :
( ( leq(n0,F)
& leq(F,n4) )
=> a_select2(sigma_init,F) = init ) ) )
=> ! [G] :
( ( leq(n0,G)
& leq(G,n4) )
=> a_select2(muold_init,G) = init ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_init_0081) ).
fof(cl5_nebula_init_0081_negated,plain,
~ ( ( leq(tptp_float_0_001,pv76)
& leq(n1,loopcounter)
& gt(n1,loopcounter)
& ! [A] :
( ( leq(n0,A)
& leq(A,n135299) )
=> ! [B] :
( ( leq(n0,B)
& leq(B,n4) )
=> a_select3(q_init,A,B) = init ) )
& ! [C] :
( ( leq(n0,C)
& leq(C,n4) )
=> a_select3(center_init,C,n0) = init )
& ( gt(loopcounter,n0)
=> ! [D] :
( ( leq(n0,D)
& leq(D,n4) )
=> a_select2(mu_init,D) = init ) )
& ( gt(loopcounter,n0)
=> ! [E] :
( ( leq(n0,E)
& leq(E,n4) )
=> a_select2(rho_init,E) = init ) )
& ( gt(loopcounter,n0)
=> ! [F] :
( ( leq(n0,F)
& leq(F,n4) )
=> a_select2(sigma_init,F) = init ) ) )
=> ! [G] :
( ( leq(n0,G)
& leq(G,n4) )
=> a_select2(muold_init,G) = init ) ),
inference(negate_conjecture,[status(cth)],[cl5_nebula_init_0081]) ).
cnf(116,plain,
leq(n1,loopcounter),
inference(cnf,[status(esa)],[cl5_nebula_init_0081_negated]) ).
cnf(l0,plain,
leq(n1,loopcounter),
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(n1,loopcounter)
| ~ leq(loopcounter,pred(n1))
| leq(n1,pred(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(l42,plain,
( ~ gt(n1,loopcounter)
| leq(loopcounter,pred(n1)) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(117,plain,
gt(n1,loopcounter),
inference(cnf,[status(esa)],[cl5_nebula_init_0081_negated]) ).
cnf(l47,plain,
gt(n1,loopcounter),
inference(instantiation,[status(thm)],[117]) ).
cnf(11,plain,
( ~ leq(X0,pred(X1))
| gt(X1,X0) ),
inference(cnf,[status(esa)],[leq_gt_pred]) ).
cnf(l13,plain,
( ~ leq(n1,pred(n1))
| gt(n1,n1) ),
inference(instantiation,[status(thm)],[11]) ).
fof(irreflexivity_gt,plain,
! [X] : ~ gt(X,X),
file('Axioms/SWV003+0.ax',irreflexivity_gt) ).
cnf(2,plain,
~ gt(X0,X0),
inference(cnf,[status(esa)],[irreflexivity_gt]) ).
cnf(l16,plain,
~ gt(n1,n1),
inference(instantiation,[status(thm)],[2]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l42,l47,l13,l16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWV181+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% 0.04/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n025.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 08:23:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 8
% 0.19/0.36 % launching worker at depth: 9
% 3.55/0.77 % launching worker at depth: 10
% 20.43/2.89 % SZS status Theorem for theBenchmark
% 20.43/2.89 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------