%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWV383+1 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n024.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 04:46:49 PM UTC 2025
% Result : Theorem 0.09s 0.30s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 14 ( 9 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 35 ( 19 ~; 10 |; 0 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-3 aty)
% Number of variables : 24 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l19_co,plain,
! [U,V,W] :
( ~ check_cpq(triple(U,V,W))
=> ! [X,Y,Z] :
( succ_cpq(triple(U,V,W),triple(X,Y,Z))
=> ( ~ ok(triple(X,Y,Z))
| ~ check_cpq(triple(X,Y,Z)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l19_co) ).
fof(l19_co_negated,plain,
~ ! [U,V,W] :
( ~ check_cpq(triple(U,V,W))
=> ! [X,Y,Z] :
( succ_cpq(triple(U,V,W),triple(X,Y,Z))
=> ( ~ ok(triple(X,Y,Z))
| ~ check_cpq(triple(X,Y,Z)) ) ) ),
inference(negate_conjecture,[status(cth)],[l19_co]) ).
cnf(52,plain,
~ check_cpq(triple(sK1,sK2,sK3)),
inference(cnf,[status(esa)],[l19_co_negated]) ).
cnf(l0,plain,
~ check_cpq(triple(sK1,sK2,sK3)),
inference(instantiation,[status(thm)],[52]) ).
fof(l19_l20,plain,
! [U,V,W] :
( ( ~ check_cpq(triple(U,V,W))
| ~ ok(triple(U,V,W)) )
=> ! [X,Y,Z] :
( succ_cpq(triple(U,V,W),triple(X,Y,Z))
=> ( ~ ok(triple(X,Y,Z))
| ~ check_cpq(triple(X,Y,Z)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l19_l20) ).
cnf(50,plain,
( ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
| ~ ok(triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5))
| check_cpq(triple(X0,X1,X2)) ),
inference(cnf,[status(esa)],[l19_l20]) ).
cnf(l1,plain,
( ~ succ_cpq(triple(sK1,sK2,sK3),triple(sK4,sK5,sK6))
| ~ ok(triple(sK4,sK5,sK6))
| ~ check_cpq(triple(sK4,sK5,sK6))
| check_cpq(triple(sK1,sK2,sK3)) ),
inference(instantiation,[status(thm)],[50]) ).
cnf(54,plain,
ok(triple(sK4,sK5,sK6)),
inference(cnf,[status(esa)],[l19_co_negated]) ).
cnf(l3,plain,
ok(triple(sK4,sK5,sK6)),
inference(instantiation,[status(thm)],[54]) ).
cnf(53,plain,
succ_cpq(triple(sK1,sK2,sK3),triple(sK4,sK5,sK6)),
inference(cnf,[status(esa)],[l19_co_negated]) ).
cnf(l2,plain,
succ_cpq(triple(sK1,sK2,sK3),triple(sK4,sK5,sK6)),
inference(instantiation,[status(thm)],[53]) ).
cnf(55,plain,
check_cpq(triple(sK4,sK5,sK6)),
inference(cnf,[status(esa)],[l19_co_negated]) ).
cnf(l4,plain,
check_cpq(triple(sK4,sK5,sK6)),
inference(instantiation,[status(thm)],[55]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l2,l4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : SWV383+1 : TPTP v9.0.0. Released v3.3.0.
% 0.08/0.09 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.29 % Computer : n024.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 09:07:49 EDT 2025
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % launching worker at depth: 1
% 0.09/0.29 % launching worker at depth: 2
% 0.09/0.29 % launching worker at depth: 3
% 0.09/0.29 % launching worker at depth: 4
% 0.09/0.29 % launching worker at depth: 6
% 0.09/0.29 % launching worker at depth: 7
% 0.09/0.29 % launching worker at depth: 5
% 0.09/0.29 % launching worker at depth: 8
% 0.09/0.30 % launching worker at depth: 9
% 0.09/0.30 % SZS status Theorem for theBenchmark
% 0.09/0.30 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------