%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU224+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 : n028.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 0.46s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 32 ( 7 unt; 0 def)
% Number of atoms : 97 ( 16 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 108 ( 43 ~; 44 |; 10 &)
% ( 5 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 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 : 35 ( 4 sgn 16 !; 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(30,plain,
relation(sK5),
inference(cnf,[status(esa)],[l82_funct_1_negated]) ).
cnf(l0,plain,
relation(sK5),
inference(instantiation,[status(thm)],[30]) ).
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/sandbox/benchmark/theBenchmark.p',t68_funct_1) ).
cnf(54,plain,
( ~ function(X0)
| ~ function(X1)
| ~ relation(X0)
| ~ relation(X1)
| X0 != relation_dom_restriction(X1,X2)
| relation_dom(X0) = set_intersection2(relation_dom(X1),X2) ),
inference(cnf,[status(esa)],[t68_funct_1]) ).
cnf(l1,plain,
( ~ function(relation_dom_restriction(sK5,sK3))
| ~ function(sK5)
| ~ relation(relation_dom_restriction(sK5,sK3))
| ~ relation(sK5)
| relation_dom_restriction(sK5,sK3) != relation_dom_restriction(sK5,sK3)
| relation_dom(relation_dom_restriction(sK5,sK3)) = set_intersection2(relation_dom(sK5),sK3) ),
inference(instantiation,[status(thm)],[54]) ).
cnf(31,plain,
function(sK5),
inference(cnf,[status(esa)],[l82_funct_1_negated]) ).
cnf(l6,plain,
function(sK5),
inference(instantiation,[status(thm)],[31]) ).
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/sandbox/benchmark/theBenchmark.p',fc4_funct_1) ).
cnf(22,plain,
( ~ function(X0)
| ~ relation(X0)
| relation(relation_dom_restriction(X0,X1)) ),
inference(cnf,[status(esa)],[fc4_funct_1]) ).
cnf(l9,plain,
( ~ function(sK5)
| ~ relation(sK5)
| relation(relation_dom_restriction(sK5,sK3)) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(23,plain,
( ~ function(X0)
| ~ relation(X0)
| function(relation_dom_restriction(X0,X1)) ),
inference(cnf,[status(esa)],[fc4_funct_1]) ).
cnf(l3,plain,
( ~ function(sK5)
| ~ relation(sK5)
| function(relation_dom_restriction(sK5,sK3)) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(l18,plain,
function(sK5),
inference(instantiation,[status(thm)],[31]) ).
cnf(l8,plain,
function(sK5),
inference(instantiation,[status(thm)],[31]) ).
fof(d3_xboole_0,plain,
! [A,B,C] :
( C = set_intersection2(A,B)
<=> ! [D] :
( in(D,C)
<=> ( in(D,A)
& in(D,B) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).
cnf(7,plain,
( ~ in(X0,X1)
| ~ in(X0,X2)
| X3 != set_intersection2(X1,X2)
| in(X0,X3) ),
inference(cnf,[status(esa)],[d3_xboole_0]) ).
cnf(l11,plain,
( ~ in(sK4,relation_dom(sK5))
| ~ in(sK4,sK3)
| relation_dom(relation_dom_restriction(sK5,sK3)) != set_intersection2(relation_dom(sK5),sK3)
| in(sK4,relation_dom(relation_dom_restriction(sK5,sK3))) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(32,plain,
( in(sK4,relation_dom(relation_dom_restriction(sK5,sK3)))
| in(sK4,relation_dom(sK5)) ),
inference(cnf,[status(esa)],[l82_funct_1_negated]) ).
cnf(l12,plain,
( in(sK4,relation_dom(relation_dom_restriction(sK5,sK3)))
| in(sK4,relation_dom(sK5)) ),
inference(instantiation,[status(thm)],[32]) ).
cnf(34,plain,
( ~ in(sK4,relation_dom(relation_dom_restriction(sK5,sK3)))
| ~ in(sK4,relation_dom(sK5))
| ~ in(sK4,sK3) ),
inference(cnf,[status(esa)],[l82_funct_1_negated]) ).
cnf(l52,plain,
( ~ in(sK4,relation_dom(relation_dom_restriction(sK5,sK3)))
| ~ in(sK4,relation_dom(sK5))
| ~ in(sK4,sK3) ),
inference(instantiation,[status(thm)],[34]) ).
cnf(5,plain,
( ~ in(X0,X1)
| X1 != set_intersection2(X2,X3)
| in(X0,X2) ),
inference(cnf,[status(esa)],[d3_xboole_0]) ).
cnf(l66,plain,
( ~ in(sK4,relation_dom(relation_dom_restriction(sK5,sK3)))
| relation_dom(relation_dom_restriction(sK5,sK3)) != set_intersection2(relation_dom(sK5),sK3)
| in(sK4,relation_dom(sK5)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l58,plain,
( ~ in(sK4,relation_dom(relation_dom_restriction(sK5,sK3)))
| relation_dom(relation_dom_restriction(sK5,sK3)) != set_intersection2(relation_dom(sK5),sK3)
| in(sK4,relation_dom(sK5)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(33,plain,
( in(sK4,relation_dom(relation_dom_restriction(sK5,sK3)))
| in(sK4,sK3) ),
inference(cnf,[status(esa)],[l82_funct_1_negated]) ).
cnf(l14,plain,
( in(sK4,relation_dom(relation_dom_restriction(sK5,sK3)))
| in(sK4,sK3) ),
inference(instantiation,[status(thm)],[33]) ).
cnf(6,plain,
( ~ in(X0,X1)
| X1 != set_intersection2(X2,X3)
| in(X0,X3) ),
inference(cnf,[status(esa)],[d3_xboole_0]) ).
cnf(l67,plain,
( ~ in(sK4,relation_dom(relation_dom_restriction(sK5,sK3)))
| relation_dom(relation_dom_restriction(sK5,sK3)) != set_intersection2(relation_dom(sK5),sK3)
| in(sK4,sK3) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l61,plain,
( ~ in(sK4,relation_dom(relation_dom_restriction(sK5,sK3)))
| relation_dom(relation_dom_restriction(sK5,sK3)) != set_intersection2(relation_dom(sK5),sK3)
| in(sK4,sK3) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l6,l9,l3,l18,l8,l11,l12,l52,l66,l58,l14,l67,l61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU224+1 : TPTP v9.0.0. Released v3.3.0.
% 0.03/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n028.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 00:04:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 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: 2
% 0.12/0.34 % launching worker at depth: 4
% 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: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.18/0.38 % launching worker at depth: 10
% 0.18/0.46 % SZS status Theorem for theBenchmark
% 0.18/0.46 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------