%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU189+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 : n026.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 03:44:47 PM UTC 2025
% Result : Theorem 0.13s 0.55s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of formulae : 43 ( 10 unt; 0 def)
% Number of atoms : 94 ( 32 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 91 ( 40 ~; 36 |; 5 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 19 ( 0 sgn 9 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t65_relat_1,plain,
! [A] :
( relation(A)
=> ( relation_dom(A) = empty_set
<=> relation_rng(A) = empty_set ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t65_relat_1) ).
fof(t65_relat_1_negated,plain,
~ ! [A] :
( relation(A)
=> ( relation_dom(A) = empty_set
<=> relation_rng(A) = empty_set ) ),
inference(negate_conjecture,[status(cth)],[t65_relat_1]) ).
cnf(23,plain,
relation(sK6),
inference(cnf,[status(esa)],[t65_relat_1_negated]) ).
cnf(l0,plain,
relation(sK6),
inference(instantiation,[status(thm)],[23]) ).
fof(fc5_relat_1,plain,
! [A] :
( ( ~ empty(A)
& relation(A) )
=> ~ empty(relation_dom(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_relat_1) ).
cnf(9,plain,
( ~ relation(X0)
| ~ empty(relation_dom(X0))
| empty(X0) ),
inference(cnf,[status(esa)],[fc5_relat_1]) ).
cnf(l1,plain,
( ~ relation(sK6)
| ~ empty(relation_dom(sK6))
| empty(sK6) ),
inference(instantiation,[status(thm)],[9]) ).
fof(fc7_relat_1,plain,
! [A] :
( empty(A)
=> ( empty(relation_dom(A))
& relation(relation_dom(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc7_relat_1) ).
cnf(11,plain,
( ~ empty(X0)
| empty(relation_dom(X0)) ),
inference(cnf,[status(esa)],[fc7_relat_1]) ).
cnf(l2,plain,
( ~ empty(sK6)
| empty(relation_dom(sK6)) ),
inference(instantiation,[status(thm)],[11]) ).
fof(fc8_relat_1,plain,
! [A] :
( empty(A)
=> ( empty(relation_rng(A))
& relation(relation_rng(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc8_relat_1) ).
cnf(14,plain,
( ~ empty(X0)
| relation(relation_rng(X0)) ),
inference(cnf,[status(esa)],[fc8_relat_1]) ).
cnf(l3,plain,
( ~ empty(sK6)
| relation(relation_rng(sK6)) ),
inference(instantiation,[status(thm)],[14]) ).
fof(t64_relat_1,plain,
! [A] :
( relation(A)
=> ( ( relation_dom(A) = empty_set
| relation_rng(A) = empty_set )
=> A = empty_set ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t64_relat_1) ).
cnf(28,plain,
( ~ relation(X0)
| relation_dom(X0) != empty_set
| X0 = empty_set ),
inference(cnf,[status(esa)],[t64_relat_1]) ).
cnf(l10,plain,
( ~ relation(relation_rng(sK6))
| relation_dom(relation_rng(sK6)) != empty_set
| relation_rng(sK6) = empty_set ),
inference(instantiation,[status(thm)],[28]) ).
cnf(29,plain,
( ~ relation(X0)
| relation_rng(X0) != empty_set
| X0 = empty_set ),
inference(cnf,[status(esa)],[t64_relat_1]) ).
cnf(l12,plain,
( ~ relation(sK6)
| relation_rng(sK6) != empty_set
| sK6 = empty_set ),
inference(instantiation,[status(thm)],[29]) ).
cnf(24,plain,
( relation_dom(sK6) = empty_set
| relation_rng(sK6) = empty_set ),
inference(cnf,[status(esa)],[t65_relat_1_negated]) ).
cnf(l16,plain,
( relation_dom(sK6) = empty_set
| relation_rng(sK6) = empty_set ),
inference(instantiation,[status(thm)],[24]) ).
fof(t6_boole,plain,
! [A] :
( empty(A)
=> A = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
cnf(22,plain,
( ~ empty(X0)
| X0 = empty_set ),
inference(cnf,[status(esa)],[t6_boole]) ).
cnf(l13,plain,
( ~ empty(sK4)
| sK4 = empty_set ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l98,plain,
( ~ relation(sK6)
| relation_dom(sK6) != empty_set
| sK6 = empty_set ),
inference(instantiation,[status(thm)],[28]) ).
fof(rc1_xboole_0,plain,
? [A] : empty(A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
cnf(15,plain,
empty(sK4),
inference(cnf,[status(esa)],[rc1_xboole_0]) ).
cnf(l17,plain,
empty(sK4),
inference(instantiation,[status(thm)],[15]) ).
cnf(l8,plain,
empty(sK4),
inference(instantiation,[status(thm)],[15]) ).
fof(t8_boole,plain,
! [A,B] :
~ ( empty(A)
& A != B
& empty(B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
cnf(18,plain,
( ~ empty(X0)
| ~ empty(X1)
| X0 = X1 ),
inference(cnf,[status(esa)],[t8_boole]) ).
cnf(l23,plain,
( ~ empty(relation_dom(relation_rng(sK6)))
| ~ empty(empty_set)
| relation_dom(relation_rng(sK6)) = empty_set ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l27,plain,
( ~ empty(relation_rng(sK6))
| empty(relation_dom(relation_rng(sK6))) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(13,plain,
( ~ empty(X0)
| empty(relation_rng(X0)) ),
inference(cnf,[status(esa)],[fc8_relat_1]) ).
cnf(l29,plain,
( ~ empty(sK6)
| empty(relation_rng(sK6)) ),
inference(instantiation,[status(thm)],[13]) ).
fof(fc1_xboole_0,plain,
empty(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
cnf(21,plain,
empty(empty_set),
inference(cnf,[status(esa)],[fc1_xboole_0]) ).
cnf(l25,plain,
empty(empty_set),
inference(instantiation,[status(thm)],[21]) ).
cnf(l51,plain,
( ~ empty(relation_dom(sK6))
| ~ empty(relation_rng(sK6))
| relation_dom(sK6) = relation_rng(sK6) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l66,plain,
( ~ empty(sK6)
| empty(relation_rng(sK6)) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(25,plain,
( relation_dom(sK6) != empty_set
| relation_rng(sK6) != empty_set ),
inference(cnf,[status(esa)],[t65_relat_1_negated]) ).
cnf(l41,plain,
( relation_dom(sK6) != empty_set
| relation_rng(sK6) != empty_set ),
inference(instantiation,[status(thm)],[25]) ).
cnf(l52,plain,
( ~ empty(sK6)
| empty(relation_dom(sK6)) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l10,l12,l16,l13,l98,l17,l8,l23,l27,l29,l25,l51,l66,l41,l52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : SEU189+1 : TPTP v9.0.0. Released v3.3.0.
% 0.02/0.09 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.29 % Computer : n026.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Mon Jul 21 23:50:04 EDT 2025
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % launching worker at depth: 5
% 0.09/0.29 % launching worker at depth: 1
% 0.09/0.29 % launching worker at depth: 4
% 0.09/0.29 % launching worker at depth: 3
% 0.09/0.29 % launching worker at depth: 2
% 0.09/0.29 % launching worker at depth: 6
% 0.09/0.29 % launching worker at depth: 7
% 0.09/0.29 % launching worker at depth: 8
% 0.09/0.29 % launching worker at depth: 9
% 0.13/0.31 % launching worker at depth: 10
% 0.13/0.35 % launching worker at depth: 11
% 0.13/0.55 % SZS status Theorem for theBenchmark
% 0.13/0.55 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------