%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU240+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 : n020.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 54.72s 7.23s
% Output : CNFRefutation 54.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 37 ( 3 unt; 0 def)
% Number of atoms : 118 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 139 ( 58 ~; 61 |; 7 &)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 39 ( 2 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l2_wellord1,plain,
! [A] :
( relation(A)
=> ( transitive(A)
<=> ! [B,C,D] :
( ( in(ordered_pair(B,C),A)
& in(ordered_pair(C,D),A) )
=> in(ordered_pair(B,D),A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_wellord1) ).
fof(l2_wellord1_negated,plain,
~ ! [A] :
( relation(A)
=> ( transitive(A)
<=> ! [B,C,D] :
( ( in(ordered_pair(B,C),A)
& in(ordered_pair(C,D),A) )
=> in(ordered_pair(B,D),A) ) ) ),
inference(negate_conjecture,[status(cth)],[l2_wellord1]) ).
cnf(22,plain,
relation(sK5),
inference(cnf,[status(esa)],[l2_wellord1_negated]) ).
cnf(l0,plain,
relation(sK5),
inference(instantiation,[status(thm)],[22]) ).
fof(d16_relat_2,plain,
! [A] :
( relation(A)
=> ( transitive(A)
<=> is_transitive_in(A,relation_field(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d16_relat_2) ).
cnf(6,plain,
( ~ is_transitive_in(X0,relation_field(X0))
| ~ relation(X0)
| transitive(X0) ),
inference(cnf,[status(esa)],[d16_relat_2]) ).
cnf(l1,plain,
( ~ is_transitive_in(sK5,relation_field(sK5))
| ~ relation(sK5)
| transitive(sK5) ),
inference(instantiation,[status(thm)],[6]) ).
fof(d8_relat_2,plain,
! [A] :
( relation(A)
=> ! [B] :
( is_transitive_in(A,B)
<=> ! [C,D,E] :
( ( in(C,B)
& in(D,B)
& in(E,B)
& in(ordered_pair(C,D),A)
& in(ordered_pair(D,E),A) )
=> in(ordered_pair(C,E),A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_relat_2) ).
cnf(14,plain,
( ~ relation(X0)
| in(ordered_pair(sK2(X0,X1),sK3(X0,X1)),X0)
| is_transitive_in(X0,X1) ),
inference(cnf,[status(esa)],[d8_relat_2]) ).
cnf(l3,plain,
( ~ relation(sK5)
| in(ordered_pair(sK2(sK5,relation_field(sK5)),sK3(sK5,relation_field(sK5))),sK5)
| is_transitive_in(sK5,relation_field(sK5)) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(5,plain,
( ~ transitive(X0)
| ~ relation(X0)
| is_transitive_in(X0,relation_field(X0)) ),
inference(cnf,[status(esa)],[d16_relat_2]) ).
cnf(l2,plain,
( ~ transitive(sK5)
| ~ relation(sK5)
| is_transitive_in(sK5,relation_field(sK5)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(9,plain,
( ~ in(X0,X1)
| ~ in(X2,X1)
| ~ in(X3,X1)
| ~ in(ordered_pair(X0,X2),X4)
| ~ in(ordered_pair(X2,X3),X4)
| ~ is_transitive_in(X4,X1)
| ~ relation(X4)
| in(ordered_pair(X0,X3),X4) ),
inference(cnf,[status(esa)],[d8_relat_2]) ).
cnf(l104,plain,
( ~ in(sK6,relation_field(sK5))
| ~ in(sK7,relation_field(sK5))
| ~ in(sK8,relation_field(sK5))
| ~ in(ordered_pair(sK6,sK7),sK5)
| ~ in(ordered_pair(sK7,sK8),sK5)
| ~ is_transitive_in(sK5,relation_field(sK5))
| ~ relation(sK5)
| in(ordered_pair(sK6,sK8),sK5) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(24,plain,
( ~ transitive(sK5)
| in(ordered_pair(sK6,sK7),sK5) ),
inference(cnf,[status(esa)],[l2_wellord1_negated]) ).
cnf(l363,plain,
( ~ transitive(sK5)
| in(ordered_pair(sK6,sK7),sK5) ),
inference(instantiation,[status(thm)],[24]) ).
fof(t30_relat_1,plain,
! [A,B,C] :
( relation(C)
=> ( in(ordered_pair(A,B),C)
=> ( in(A,relation_field(C))
& in(B,relation_field(C)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_relat_1) ).
cnf(40,plain,
( ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2)
| in(X0,relation_field(X2)) ),
inference(cnf,[status(esa)],[t30_relat_1]) ).
cnf(l114,plain,
( ~ in(ordered_pair(sK6,sK7),sK5)
| ~ relation(sK5)
| in(sK6,relation_field(sK5)) ),
inference(instantiation,[status(thm)],[40]) ).
cnf(25,plain,
( ~ transitive(sK5)
| in(ordered_pair(sK7,sK8),sK5) ),
inference(cnf,[status(esa)],[l2_wellord1_negated]) ).
cnf(l379,plain,
( ~ transitive(sK5)
| in(ordered_pair(sK7,sK8),sK5) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(41,plain,
( ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2)
| in(X1,relation_field(X2)) ),
inference(cnf,[status(esa)],[t30_relat_1]) ).
cnf(l105,plain,
( ~ in(ordered_pair(sK7,sK8),sK5)
| ~ relation(sK5)
| in(sK8,relation_field(sK5)) ),
inference(instantiation,[status(thm)],[41]) ).
cnf(l106,plain,
( ~ transitive(sK5)
| in(ordered_pair(sK7,sK8),sK5) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(l187,plain,
( ~ in(ordered_pair(sK7,sK8),sK5)
| ~ relation(sK5)
| in(sK7,relation_field(sK5)) ),
inference(instantiation,[status(thm)],[40]) ).
cnf(l195,plain,
( ~ transitive(sK5)
| in(ordered_pair(sK7,sK8),sK5) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(23,plain,
( ~ in(ordered_pair(X0,X1),sK5)
| ~ in(ordered_pair(X1,X2),sK5)
| in(ordered_pair(X0,X2),sK5)
| transitive(sK5) ),
inference(cnf,[status(esa)],[l2_wellord1_negated]) ).
cnf(l5,plain,
( ~ in(ordered_pair(sK1(sK5,relation_field(sK5)),sK2(sK5,relation_field(sK5))),sK5)
| ~ in(ordered_pair(sK2(sK5,relation_field(sK5)),sK3(sK5,relation_field(sK5))),sK5)
| in(ordered_pair(sK1(sK5,relation_field(sK5)),sK3(sK5,relation_field(sK5))),sK5)
| transitive(sK5) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(l146,plain,
( ~ transitive(sK5)
| in(ordered_pair(sK6,sK7),sK5) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(l977,plain,
( ~ transitive(sK5)
| ~ relation(sK5)
| is_transitive_in(sK5,relation_field(sK5)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(26,plain,
( ~ in(ordered_pair(sK6,sK8),sK5)
| ~ transitive(sK5) ),
inference(cnf,[status(esa)],[l2_wellord1_negated]) ).
cnf(l373,plain,
( ~ in(ordered_pair(sK6,sK8),sK5)
| ~ transitive(sK5) ),
inference(instantiation,[status(thm)],[26]) ).
cnf(13,plain,
( ~ relation(X0)
| in(ordered_pair(sK1(X0,X1),sK2(X0,X1)),X0)
| is_transitive_in(X0,X1) ),
inference(cnf,[status(esa)],[d8_relat_2]) ).
cnf(l27,plain,
( ~ relation(sK5)
| in(ordered_pair(sK1(sK5,relation_field(sK5)),sK2(sK5,relation_field(sK5))),sK5)
| is_transitive_in(sK5,relation_field(sK5)) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(15,plain,
( ~ in(ordered_pair(sK1(X0,X1),sK3(X0,X1)),X0)
| ~ relation(X0)
| is_transitive_in(X0,X1) ),
inference(cnf,[status(esa)],[d8_relat_2]) ).
cnf(l907,plain,
( ~ in(ordered_pair(sK1(sK5,relation_field(sK5)),sK3(sK5,relation_field(sK5))),sK5)
| ~ relation(sK5)
| is_transitive_in(sK5,relation_field(sK5)) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l2,l104,l363,l114,l379,l105,l106,l187,l195,l5,l146,l977,l373,l27,l907]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU240+1 : TPTP v9.0.0. Released v3.3.0.
% 0.07/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n020.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 00:14:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 8
% 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: 2
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.36 % launching worker at depth: 10
% 1.61/0.54 % launching worker at depth: 11
% 54.72/7.23 % SZS status Theorem for theBenchmark
% 54.72/7.23 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------