%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU224+2 : 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 : n017.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 03:44:54 PM UTC 2025
% Result : Theorem 0.18s 0.52s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 20 ( 3 unt; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 62 ( 25 ~; 26 |; 5 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 1 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l82_funct_1,plain,
! [A,B,C] :
( ( relation(C)
& function(C) )
=> ( in(B,relation_dom(relation_dom_restriction(C,A)))
<=> ( in(B,relation_dom(C))
& in(B,A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l82_funct_1) ).
fof(l82_funct_1_negated,plain,
~ ! [A,B,C] :
( ( relation(C)
& function(C) )
=> ( in(B,relation_dom(relation_dom_restriction(C,A)))
<=> ( in(B,relation_dom(C))
& in(B,A) ) ) ),
inference(negate_conjecture,[status(cth)],[l82_funct_1]) ).
cnf(272,plain,
relation(sK77),
inference(cnf,[status(esa)],[l82_funct_1_negated]) ).
cnf(l0,plain,
relation(sK77),
inference(instantiation,[status(thm)],[272]) ).
fof(t86_relat_1,plain,
! [A,B,C] :
( relation(C)
=> ( in(A,relation_dom(relation_dom_restriction(C,B)))
<=> ( in(A,B)
& in(A,relation_dom(C)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t86_relat_1) ).
cnf(457,plain,
( ~ in(X0,X1)
| ~ in(X0,relation_dom(X2))
| ~ relation(X2)
| in(X0,relation_dom(relation_dom_restriction(X2,X1))) ),
inference(cnf,[status(esa)],[t86_relat_1]) ).
cnf(l1,plain,
( ~ in(sK76,sK75)
| ~ in(sK76,relation_dom(sK77))
| ~ relation(sK77)
| in(sK76,relation_dom(relation_dom_restriction(sK77,sK75))) ),
inference(instantiation,[status(thm)],[457]) ).
cnf(275,plain,
( in(sK76,relation_dom(relation_dom_restriction(sK77,sK75)))
| in(sK76,sK75) ),
inference(cnf,[status(esa)],[l82_funct_1_negated]) ).
cnf(l4,plain,
( in(sK76,relation_dom(relation_dom_restriction(sK77,sK75)))
| in(sK76,sK75) ),
inference(instantiation,[status(thm)],[275]) ).
cnf(274,plain,
( in(sK76,relation_dom(relation_dom_restriction(sK77,sK75)))
| in(sK76,relation_dom(sK77)) ),
inference(cnf,[status(esa)],[l82_funct_1_negated]) ).
cnf(l7,plain,
( in(sK76,relation_dom(relation_dom_restriction(sK77,sK75)))
| in(sK76,relation_dom(sK77)) ),
inference(instantiation,[status(thm)],[274]) ).
cnf(455,plain,
( ~ in(X0,relation_dom(relation_dom_restriction(X1,X2)))
| ~ relation(X1)
| in(X0,X2) ),
inference(cnf,[status(esa)],[t86_relat_1]) ).
cnf(l8,plain,
( ~ in(sK76,relation_dom(relation_dom_restriction(sK77,sK75)))
| ~ relation(sK77)
| in(sK76,sK75) ),
inference(instantiation,[status(thm)],[455]) ).
cnf(276,plain,
( ~ in(sK76,relation_dom(relation_dom_restriction(sK77,sK75)))
| ~ in(sK76,relation_dom(sK77))
| ~ in(sK76,sK75) ),
inference(cnf,[status(esa)],[l82_funct_1_negated]) ).
cnf(l2,plain,
( ~ in(sK76,relation_dom(relation_dom_restriction(sK77,sK75)))
| ~ in(sK76,relation_dom(sK77))
| ~ in(sK76,sK75) ),
inference(instantiation,[status(thm)],[276]) ).
cnf(l15,plain,
( ~ in(sK76,relation_dom(relation_dom_restriction(sK77,sK75)))
| ~ relation(sK77)
| in(sK76,sK75) ),
inference(instantiation,[status(thm)],[455]) ).
cnf(456,plain,
( ~ in(X0,relation_dom(relation_dom_restriction(X1,X2)))
| ~ relation(X1)
| in(X0,relation_dom(X1)) ),
inference(cnf,[status(esa)],[t86_relat_1]) ).
cnf(l14,plain,
( ~ in(sK76,relation_dom(relation_dom_restriction(sK77,sK75)))
| ~ relation(sK77)
| in(sK76,relation_dom(sK77)) ),
inference(instantiation,[status(thm)],[456]) ).
cnf(l13,plain,
( ~ in(sK76,relation_dom(relation_dom_restriction(sK77,sK75)))
| ~ relation(sK77)
| in(sK76,relation_dom(sK77)) ),
inference(instantiation,[status(thm)],[456]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l7,l8,l2,l15,l14,l13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU224+2 : TPTP v9.0.0. Released v3.3.0.
% 0.07/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n017.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 00:04:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.35 % launching worker at depth: 3
% 0.12/0.35 % launching worker at depth: 4
% 0.12/0.35 % launching worker at depth: 8
% 0.12/0.35 % launching worker at depth: 5
% 0.12/0.35 % launching worker at depth: 6
% 0.12/0.35 % launching worker at depth: 1
% 0.12/0.35 % launching worker at depth: 7
% 0.12/0.35 % launching worker at depth: 2
% 0.12/0.38 % launching worker at depth: 9
% 0.18/0.52 % SZS status Theorem for theBenchmark
% 0.18/0.52 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------