%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU242+1 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n027.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 13.92s 2.08s
% Output : CNFRefutation 13.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 36 ( 3 unt; 0 def)
% Number of atoms : 118 ( 11 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 149 ( 67 ~; 62 |; 12 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 29 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l4_wellord1,plain,
! [A] :
( relation(A)
=> ( connected(A)
<=> ! [B,C] :
~ ( in(B,relation_field(A))
& in(C,relation_field(A))
& B != C
& ~ in(ordered_pair(B,C),A)
& ~ in(ordered_pair(C,B),A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l4_wellord1) ).
fof(l4_wellord1_negated,plain,
~ ! [A] :
( relation(A)
=> ( connected(A)
<=> ! [B,C] :
~ ( in(B,relation_field(A))
& in(C,relation_field(A))
& B != C
& ~ in(ordered_pair(B,C),A)
& ~ in(ordered_pair(C,B),A) ) ) ),
inference(negate_conjecture,[status(cth)],[l4_wellord1]) ).
cnf(21,plain,
relation(sK4),
inference(cnf,[status(esa)],[l4_wellord1_negated]) ).
cnf(l0,plain,
relation(sK4),
inference(instantiation,[status(thm)],[21]) ).
fof(d14_relat_2,plain,
! [A] :
( relation(A)
=> ( connected(A)
<=> is_connected_in(A,relation_field(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d14_relat_2) ).
cnf(6,plain,
( ~ is_connected_in(X0,relation_field(X0))
| ~ relation(X0)
| connected(X0) ),
inference(cnf,[status(esa)],[d14_relat_2]) ).
cnf(l1,plain,
( ~ is_connected_in(sK4,relation_field(sK4))
| ~ relation(sK4)
| connected(sK4) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(23,plain,
( ~ connected(sK4)
| in(sK5,relation_field(sK4)) ),
inference(cnf,[status(esa)],[l4_wellord1_negated]) ).
cnf(l4,plain,
( ~ connected(sK4)
| in(sK5,relation_field(sK4)) ),
inference(instantiation,[status(thm)],[23]) ).
fof(d6_relat_2,plain,
! [A] :
( relation(A)
=> ! [B] :
( is_connected_in(A,B)
<=> ! [C,D] :
~ ( in(C,B)
& in(D,B)
& C != D
& ~ in(ordered_pair(C,D),A)
& ~ in(ordered_pair(D,C),A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_relat_2) ).
cnf(10,plain,
( ~ relation(X0)
| in(sK1(X0,X1),X1)
| is_connected_in(X0,X1) ),
inference(cnf,[status(esa)],[d6_relat_2]) ).
cnf(l2,plain,
( ~ relation(sK4)
| in(sK1(sK4,relation_field(sK4)),relation_field(sK4))
| is_connected_in(sK4,relation_field(sK4)) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(22,plain,
( ~ in(X0,relation_field(sK4))
| ~ in(X1,relation_field(sK4))
| in(ordered_pair(X0,X1),sK4)
| in(ordered_pair(X1,X0),sK4)
| X0 = X1
| connected(sK4) ),
inference(cnf,[status(esa)],[l4_wellord1_negated]) ).
cnf(l7,plain,
( ~ in(sK1(sK4,relation_field(sK4)),relation_field(sK4))
| ~ in(sK2(sK4,relation_field(sK4)),relation_field(sK4))
| in(ordered_pair(sK1(sK4,relation_field(sK4)),sK2(sK4,relation_field(sK4))),sK4)
| in(ordered_pair(sK2(sK4,relation_field(sK4)),sK1(sK4,relation_field(sK4))),sK4)
| sK1(sK4,relation_field(sK4)) = sK2(sK4,relation_field(sK4))
| connected(sK4) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(9,plain,
( ~ in(X0,X1)
| ~ in(X2,X1)
| ~ is_connected_in(X3,X1)
| ~ relation(X3)
| in(ordered_pair(X0,X2),X3)
| in(ordered_pair(X2,X0),X3)
| X0 = X2 ),
inference(cnf,[status(esa)],[d6_relat_2]) ).
cnf(l30,plain,
( ~ in(sK5,relation_field(sK4))
| ~ in(sK6,relation_field(sK4))
| ~ is_connected_in(sK4,relation_field(sK4))
| ~ relation(sK4)
| in(ordered_pair(sK5,sK6),sK4)
| in(ordered_pair(sK6,sK5),sK4)
| sK5 = sK6 ),
inference(instantiation,[status(thm)],[9]) ).
cnf(11,plain,
( ~ relation(X0)
| in(sK2(X0,X1),X1)
| is_connected_in(X0,X1) ),
inference(cnf,[status(esa)],[d6_relat_2]) ).
cnf(l10,plain,
( ~ relation(sK4)
| in(sK2(sK4,relation_field(sK4)),relation_field(sK4))
| is_connected_in(sK4,relation_field(sK4)) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(13,plain,
( ~ in(ordered_pair(sK1(X0,X1),sK2(X0,X1)),X0)
| ~ relation(X0)
| is_connected_in(X0,X1) ),
inference(cnf,[status(esa)],[d6_relat_2]) ).
cnf(l23,plain,
( ~ in(ordered_pair(sK1(sK4,relation_field(sK4)),sK2(sK4,relation_field(sK4))),sK4)
| ~ relation(sK4)
| is_connected_in(sK4,relation_field(sK4)) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(24,plain,
( ~ connected(sK4)
| in(sK6,relation_field(sK4)) ),
inference(cnf,[status(esa)],[l4_wellord1_negated]) ).
cnf(l51,plain,
( ~ connected(sK4)
| in(sK6,relation_field(sK4)) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(26,plain,
( ~ in(ordered_pair(sK5,sK6),sK4)
| ~ connected(sK4) ),
inference(cnf,[status(esa)],[l4_wellord1_negated]) ).
cnf(l89,plain,
( ~ in(ordered_pair(sK5,sK6),sK4)
| ~ connected(sK4) ),
inference(instantiation,[status(thm)],[26]) ).
cnf(14,plain,
( ~ in(ordered_pair(sK2(X0,X1),sK1(X0,X1)),X0)
| ~ relation(X0)
| is_connected_in(X0,X1) ),
inference(cnf,[status(esa)],[d6_relat_2]) ).
cnf(l83,plain,
( ~ in(ordered_pair(sK2(sK4,relation_field(sK4)),sK1(sK4,relation_field(sK4))),sK4)
| ~ relation(sK4)
| is_connected_in(sK4,relation_field(sK4)) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(27,plain,
( ~ in(ordered_pair(sK6,sK5),sK4)
| ~ connected(sK4) ),
inference(cnf,[status(esa)],[l4_wellord1_negated]) ).
cnf(l90,plain,
( ~ in(ordered_pair(sK6,sK5),sK4)
| ~ connected(sK4) ),
inference(instantiation,[status(thm)],[27]) ).
cnf(5,plain,
( ~ connected(X0)
| ~ relation(X0)
| is_connected_in(X0,relation_field(X0)) ),
inference(cnf,[status(esa)],[d14_relat_2]) ).
cnf(l62,plain,
( ~ connected(sK4)
| ~ relation(sK4)
| is_connected_in(sK4,relation_field(sK4)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l78,plain,
( ~ connected(sK4)
| ~ relation(sK4)
| is_connected_in(sK4,relation_field(sK4)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(25,plain,
( sK5 != sK6
| ~ connected(sK4) ),
inference(cnf,[status(esa)],[l4_wellord1_negated]) ).
cnf(l193,plain,
( sK5 != sK6
| ~ connected(sK4) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(12,plain,
( sK1(X0,X1) != sK2(X0,X1)
| ~ relation(X0)
| is_connected_in(X0,X1) ),
inference(cnf,[status(esa)],[d6_relat_2]) ).
cnf(l218,plain,
( sK1(sK4,relation_field(sK4)) != sK2(sK4,relation_field(sK4))
| ~ relation(sK4)
| is_connected_in(sK4,relation_field(sK4)) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l2,l7,l30,l10,l23,l51,l89,l83,l90,l62,l78,l193,l218]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU242+1 : TPTP v9.0.0. Released v3.3.0.
% 0.11/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n027.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 00:14:49 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % launching worker at depth: 6
% 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: 7
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 4
% 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
% 2.40/0.64 % launching worker at depth: 11
% 13.92/2.08 % SZS status Theorem for theBenchmark
% 13.92/2.08 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------