%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWV387+1 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/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 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 7 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 13 ~; 6 |; 1 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 16 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l23_co,plain,
! [U,V,W] :
( ~ check_cpq(triple(U,V,W))
=> ! [X] :
( ~ check_cpq(remove_cpq(triple(U,V,W),X))
| ~ ok(remove_cpq(triple(U,V,W),X)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l23_co) ).
fof(l23_co_negated,plain,
~ ! [U,V,W] :
( ~ check_cpq(triple(U,V,W))
=> ! [X] :
( ~ check_cpq(remove_cpq(triple(U,V,W),X))
| ~ ok(remove_cpq(triple(U,V,W),X)) ) ),
inference(negate_conjecture,[status(cth)],[l23_co]) ).
cnf(51,plain,
~ check_cpq(triple(sK1,sK2,sK3)),
inference(cnf,[status(esa)],[l23_co_negated]) ).
cnf(l0,plain,
~ check_cpq(triple(sK1,sK2,sK3)),
inference(instantiation,[status(thm)],[51]) ).
fof(l23_l027,plain,
! [U,V,W,X] :
( ( check_cpq(remove_cpq(triple(U,V,W),X))
& ok(remove_cpq(triple(U,V,W),X)) )
=> check_cpq(triple(U,V,W)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l23_l027) ).
cnf(50,plain,
( ~ ok(remove_cpq(triple(X0,X1,X2),X3))
| ~ check_cpq(remove_cpq(triple(X0,X1,X2),X3))
| check_cpq(triple(X0,X1,X2)) ),
inference(cnf,[status(esa)],[l23_l027]) ).
cnf(l1,plain,
( ~ ok(remove_cpq(triple(sK1,sK2,sK3),sK4))
| ~ check_cpq(remove_cpq(triple(sK1,sK2,sK3),sK4))
| check_cpq(triple(sK1,sK2,sK3)) ),
inference(instantiation,[status(thm)],[50]) ).
cnf(52,plain,
check_cpq(remove_cpq(triple(sK1,sK2,sK3),sK4)),
inference(cnf,[status(esa)],[l23_co_negated]) ).
cnf(l3,plain,
check_cpq(remove_cpq(triple(sK1,sK2,sK3),sK4)),
inference(instantiation,[status(thm)],[52]) ).
cnf(53,plain,
ok(remove_cpq(triple(sK1,sK2,sK3),sK4)),
inference(cnf,[status(esa)],[l23_co_negated]) ).
cnf(l2,plain,
ok(remove_cpq(triple(sK1,sK2,sK3),sK4)),
inference(instantiation,[status(thm)],[53]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV387+1 : TPTP v9.0.0. Released v3.3.0.
% 0.06/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Jul 22 09:08:04 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % SZS status Theorem for theBenchmark
% 0.13/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------