%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU245+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 : n025.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 03:44:58 PM UTC 2025
% Result : Theorem 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 3 unt; 0 def)
% Number of atoms : 61 ( 12 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 65 ( 27 ~; 28 |; 3 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 26 ( 2 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t16_wellord1,plain,
! [A,B,C] :
( relation(C)
=> ( in(A,relation_restriction(C,B))
<=> ( in(A,C)
& in(A,cartesian_product2(B,B)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_wellord1) ).
fof(t16_wellord1_negated,plain,
~ ! [A,B,C] :
( relation(C)
=> ( in(A,relation_restriction(C,B))
<=> ( in(A,C)
& in(A,cartesian_product2(B,B)) ) ) ),
inference(negate_conjecture,[status(cth)],[t16_wellord1]) ).
cnf(25,plain,
relation(sK9),
inference(cnf,[status(esa)],[t16_wellord1_negated]) ).
cnf(l0,plain,
relation(sK9),
inference(instantiation,[status(thm)],[25]) ).
fof(d6_wellord1,plain,
! [A] :
( relation(A)
=> ! [B] : relation_restriction(A,B) = set_intersection2(A,cartesian_product2(B,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_wellord1) ).
cnf(24,plain,
( ~ relation(X0)
| relation_restriction(X0,X1) = set_intersection2(X0,cartesian_product2(X1,X1)) ),
inference(cnf,[status(esa)],[d6_wellord1]) ).
cnf(l1,plain,
( ~ relation(sK9)
| relation_restriction(sK9,sK8) = set_intersection2(sK9,cartesian_product2(sK8,sK8)) ),
inference(instantiation,[status(thm)],[24]) ).
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(31,plain,
( X0 != set_intersection2(X1,X2)
| ~ in(X3,X1)
| ~ in(X3,X2)
| in(X3,X0) ),
inference(cnf,[status(esa)],[d3_xboole_0]) ).
cnf(l2,plain,
( relation_restriction(sK9,sK8) != set_intersection2(sK9,cartesian_product2(sK8,sK8))
| ~ in(sK7,sK9)
| ~ in(sK7,cartesian_product2(sK8,sK8))
| in(sK7,relation_restriction(sK9,sK8)) ),
inference(instantiation,[status(thm)],[31]) ).
cnf(27,plain,
( in(sK7,relation_restriction(sK9,sK8))
| in(sK7,cartesian_product2(sK8,sK8)) ),
inference(cnf,[status(esa)],[t16_wellord1_negated]) ).
cnf(l4,plain,
( in(sK7,relation_restriction(sK9,sK8))
| in(sK7,cartesian_product2(sK8,sK8)) ),
inference(instantiation,[status(thm)],[27]) ).
cnf(28,plain,
( ~ in(sK7,relation_restriction(sK9,sK8))
| ~ in(sK7,cartesian_product2(sK8,sK8))
| ~ in(sK7,sK9) ),
inference(cnf,[status(esa)],[t16_wellord1_negated]) ).
cnf(l6,plain,
( ~ in(sK7,relation_restriction(sK9,sK8))
| ~ in(sK7,cartesian_product2(sK8,sK8))
| ~ in(sK7,sK9) ),
inference(instantiation,[status(thm)],[28]) ).
cnf(26,plain,
( in(sK7,relation_restriction(sK9,sK8))
| in(sK7,sK9) ),
inference(cnf,[status(esa)],[t16_wellord1_negated]) ).
cnf(l3,plain,
( in(sK7,relation_restriction(sK9,sK8))
| in(sK7,sK9) ),
inference(instantiation,[status(thm)],[26]) ).
cnf(29,plain,
( X0 != set_intersection2(X1,X2)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf,[status(esa)],[d3_xboole_0]) ).
cnf(l15,plain,
( relation_restriction(sK9,sK8) != set_intersection2(sK9,cartesian_product2(sK8,sK8))
| ~ in(sK7,relation_restriction(sK9,sK8))
| in(sK7,sK9) ),
inference(instantiation,[status(thm)],[29]) ).
cnf(30,plain,
( X0 != set_intersection2(X1,X2)
| ~ in(X3,X0)
| in(X3,X2) ),
inference(cnf,[status(esa)],[d3_xboole_0]) ).
cnf(l13,plain,
( relation_restriction(sK9,sK8) != set_intersection2(sK9,cartesian_product2(sK8,sK8))
| ~ in(sK7,relation_restriction(sK9,sK8))
| in(sK7,cartesian_product2(sK8,sK8)) ),
inference(instantiation,[status(thm)],[30]) ).
cnf(l14,plain,
( relation_restriction(sK9,sK8) != set_intersection2(sK9,cartesian_product2(sK8,sK8))
| ~ in(sK7,relation_restriction(sK9,sK8))
| in(sK7,cartesian_product2(sK8,sK8)) ),
inference(instantiation,[status(thm)],[30]) ).
cnf(l16,plain,
( relation_restriction(sK9,sK8) != set_intersection2(sK9,cartesian_product2(sK8,sK8))
| ~ in(sK7,relation_restriction(sK9,sK8))
| in(sK7,sK9) ),
inference(instantiation,[status(thm)],[29]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l4,l6,l3,l15,l13,l14,l16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU245+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 : n025.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 00:15:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 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: 3
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.35 % SZS status Theorem for theBenchmark
% 0.12/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------