%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU223+3 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 0.12s 0.36s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 11 unt; 0 def)
% Number of atoms : 57 ( 11 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 59 ( 23 ~; 20 |; 7 &)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 3 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t70_funct_1,plain,
! [A,B,C] :
( ( relation(C)
& function(C) )
=> ( in(B,relation_dom(relation_dom_restriction(C,A)))
=> apply(relation_dom_restriction(C,A),B) = apply(C,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t70_funct_1) ).
fof(t70_funct_1_negated,plain,
~ ! [A,B,C] :
( ( relation(C)
& function(C) )
=> ( in(B,relation_dom(relation_dom_restriction(C,A)))
=> apply(relation_dom_restriction(C,A),B) = apply(C,B) ) ),
inference(negate_conjecture,[status(cth)],[t70_funct_1]) ).
cnf(54,plain,
relation(sK14),
inference(cnf,[status(esa)],[t70_funct_1_negated]) ).
cnf(l0,plain,
relation(sK14),
inference(instantiation,[status(thm)],[54]) ).
fof(t68_funct_1,plain,
! [A,B] :
( ( relation(B)
& function(B) )
=> ! [C] :
( ( relation(C)
& function(C) )
=> ( B = relation_dom_restriction(C,A)
<=> ( relation_dom(B) = set_intersection2(relation_dom(C),A)
& ! [D] :
( in(D,relation_dom(B))
=> apply(B,D) = apply(C,D) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t68_funct_1) ).
cnf(59,plain,
( ~ relation(X0)
| ~ relation(X1)
| ~ function(X0)
| ~ function(X1)
| X0 != relation_dom_restriction(X1,X2)
| ~ in(X3,relation_dom(X0))
| apply(X0,X3) = apply(X1,X3) ),
inference(cnf,[status(esa)],[t68_funct_1]) ).
cnf(l1,plain,
( ~ relation(relation_dom_restriction(sK14,sK12))
| ~ relation(sK14)
| ~ function(relation_dom_restriction(sK14,sK12))
| ~ function(sK14)
| relation_dom_restriction(sK14,sK12) != relation_dom_restriction(sK14,sK12)
| ~ in(sK13,relation_dom(relation_dom_restriction(sK14,sK12)))
| apply(relation_dom_restriction(sK14,sK12),sK13) = apply(sK14,sK13) ),
inference(instantiation,[status(thm)],[59]) ).
cnf(56,plain,
in(sK13,relation_dom(relation_dom_restriction(sK14,sK12))),
inference(cnf,[status(esa)],[t70_funct_1_negated]) ).
cnf(l6,plain,
in(sK13,relation_dom(relation_dom_restriction(sK14,sK12))),
inference(instantiation,[status(thm)],[56]) ).
fof(fc4_funct_1,plain,
! [A,B] :
( ( relation(A)
& function(A) )
=> ( relation(relation_dom_restriction(A,B))
& function(relation_dom_restriction(A,B)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_funct_1) ).
cnf(29,plain,
( ~ relation(X0)
| ~ function(X0)
| relation(relation_dom_restriction(X0,X1)) ),
inference(cnf,[status(esa)],[fc4_funct_1]) ).
cnf(l3,plain,
( ~ relation(sK14)
| ~ function(sK14)
| relation(relation_dom_restriction(sK14,sK12)) ),
inference(instantiation,[status(thm)],[29]) ).
cnf(55,plain,
function(sK14),
inference(cnf,[status(esa)],[t70_funct_1_negated]) ).
cnf(l26,plain,
function(sK14),
inference(instantiation,[status(thm)],[55]) ).
cnf(30,plain,
( ~ relation(X0)
| ~ function(X0)
| function(relation_dom_restriction(X0,X1)) ),
inference(cnf,[status(esa)],[fc4_funct_1]) ).
cnf(l20,plain,
( ~ relation(sK14)
| ~ function(sK14)
| function(relation_dom_restriction(sK14,sK12)) ),
inference(instantiation,[status(thm)],[30]) ).
cnf(l21,plain,
function(sK14),
inference(instantiation,[status(thm)],[55]) ).
cnf(l5,plain,
function(sK14),
inference(instantiation,[status(thm)],[55]) ).
cnf(57,plain,
apply(relation_dom_restriction(sK14,sK12),sK13) != apply(sK14,sK13),
inference(cnf,[status(esa)],[t70_funct_1_negated]) ).
cnf(l2,plain,
apply(relation_dom_restriction(sK14,sK12),sK13) != apply(sK14,sK13),
inference(instantiation,[status(thm)],[57]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l6,l3,l26,l20,l21,l5,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU223+3 : TPTP v9.0.0. Released v3.2.0.
% 0.10/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n019.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 00:04:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.36 % launching worker at depth: 10
% 0.12/0.36 % SZS status Theorem for theBenchmark
% 0.12/0.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------