%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU239+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 : n021.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 03:44:57 PM UTC 2025
% Result : Theorem 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 26 ( 3 unt; 0 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 82 ( 35 ~; 36 |; 0 &)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l1_wellord1,plain,
! [A] :
( relation(A)
=> ( reflexive(A)
<=> ! [B] :
( in(B,relation_field(A))
=> in(ordered_pair(B,B),A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_wellord1) ).
fof(l1_wellord1_negated,plain,
~ ! [A] :
( relation(A)
=> ( reflexive(A)
<=> ! [B] :
( in(B,relation_field(A))
=> in(ordered_pair(B,B),A) ) ) ),
inference(negate_conjecture,[status(cth)],[l1_wellord1]) ).
cnf(18,plain,
relation(sK3),
inference(cnf,[status(esa)],[l1_wellord1_negated]) ).
cnf(l0,plain,
relation(sK3),
inference(instantiation,[status(thm)],[18]) ).
fof(d9_relat_2,plain,
! [A] :
( relation(A)
=> ( reflexive(A)
<=> is_reflexive_in(A,relation_field(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_relat_2) ).
cnf(10,plain,
( ~ relation(X0)
| ~ reflexive(X0)
| is_reflexive_in(X0,relation_field(X0)) ),
inference(cnf,[status(esa)],[d9_relat_2]) ).
cnf(l1,plain,
( ~ relation(sK3)
| ~ reflexive(sK3)
| is_reflexive_in(sK3,relation_field(sK3)) ),
inference(instantiation,[status(thm)],[10]) ).
fof(d1_relat_2,plain,
! [A] :
( relation(A)
=> ! [B] :
( is_reflexive_in(A,B)
<=> ! [C] :
( in(C,B)
=> in(ordered_pair(C,C),A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_relat_2) ).
cnf(5,plain,
( ~ in(X0,X1)
| ~ relation(X2)
| ~ is_reflexive_in(X2,X1)
| in(ordered_pair(X0,X0),X2) ),
inference(cnf,[status(esa)],[d1_relat_2]) ).
cnf(l3,plain,
( ~ in(sK4,relation_field(sK3))
| ~ relation(sK3)
| ~ is_reflexive_in(sK3,relation_field(sK3))
| in(ordered_pair(sK4,sK4),sK3) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(21,plain,
( ~ in(ordered_pair(sK4,sK4),sK3)
| ~ reflexive(sK3) ),
inference(cnf,[status(esa)],[l1_wellord1_negated]) ).
cnf(l5,plain,
( ~ in(ordered_pair(sK4,sK4),sK3)
| ~ reflexive(sK3) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(19,plain,
( ~ in(X0,relation_field(sK3))
| in(ordered_pair(X0,X0),sK3)
| reflexive(sK3) ),
inference(cnf,[status(esa)],[l1_wellord1_negated]) ).
cnf(l2,plain,
( ~ in(sK1(sK3,relation_field(sK3)),relation_field(sK3))
| in(ordered_pair(sK1(sK3,relation_field(sK3)),sK1(sK3,relation_field(sK3))),sK3)
| reflexive(sK3) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(20,plain,
( ~ reflexive(sK3)
| in(sK4,relation_field(sK3)) ),
inference(cnf,[status(esa)],[l1_wellord1_negated]) ).
cnf(l7,plain,
( ~ reflexive(sK3)
| in(sK4,relation_field(sK3)) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(11,plain,
( ~ relation(X0)
| ~ is_reflexive_in(X0,relation_field(X0))
| reflexive(X0) ),
inference(cnf,[status(esa)],[d9_relat_2]) ).
cnf(l12,plain,
( ~ relation(sK3)
| ~ is_reflexive_in(sK3,relation_field(sK3))
| reflexive(sK3) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(6,plain,
( ~ relation(X0)
| in(sK1(X0,X1),X1)
| is_reflexive_in(X0,X1) ),
inference(cnf,[status(esa)],[d1_relat_2]) ).
cnf(l16,plain,
( ~ relation(sK3)
| in(sK1(sK3,relation_field(sK3)),relation_field(sK3))
| is_reflexive_in(sK3,relation_field(sK3)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(7,plain,
( ~ in(ordered_pair(sK1(X0,X1),sK1(X0,X1)),X0)
| ~ relation(X0)
| is_reflexive_in(X0,X1) ),
inference(cnf,[status(esa)],[d1_relat_2]) ).
cnf(l4,plain,
( ~ in(ordered_pair(sK1(sK3,relation_field(sK3)),sK1(sK3,relation_field(sK3))),sK3)
| ~ relation(sK3)
| is_reflexive_in(sK3,relation_field(sK3)) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l22,plain,
( ~ relation(sK3)
| ~ is_reflexive_in(sK3,relation_field(sK3))
| reflexive(sK3) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l10,plain,
( ~ relation(sK3)
| ~ is_reflexive_in(sK3,relation_field(sK3))
| reflexive(sK3) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l24,plain,
( ~ relation(sK3)
| ~ is_reflexive_in(sK3,relation_field(sK3))
| reflexive(sK3) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l5,l2,l7,l12,l16,l4,l22,l10,l24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU239+1 : TPTP v9.0.0. Released v3.3.0.
% 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n021.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 00:13:49 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.36 % launching worker at depth: 10
% 0.13/0.37 % SZS status Theorem for theBenchmark
% 0.13/0.37 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------