%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU186+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 : n029.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 03:44:46 PM UTC 2025
% Result : Theorem 4.64s 0.91s
% Output : CNFRefutation 4.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 31 ( 16 unt; 0 def)
% Number of atoms : 61 ( 14 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 59 ( 29 ~; 21 |; 3 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 25 ( 2 sgn 15 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t56_relat_1,plain,
! [A] :
( relation(A)
=> ( ! [B,C] : ~ in(ordered_pair(B,C),A)
=> A = empty_set ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t56_relat_1) ).
fof(t56_relat_1_negated,plain,
~ ! [A] :
( relation(A)
=> ( ! [B,C] : ~ in(ordered_pair(B,C),A)
=> A = empty_set ) ),
inference(negate_conjecture,[status(cth)],[t56_relat_1]) ).
cnf(22,plain,
relation(sK11),
inference(cnf,[status(esa)],[t56_relat_1_negated]) ).
cnf(l0,plain,
relation(sK11),
inference(instantiation,[status(thm)],[22]) ).
fof(d1_relat_1,plain,
! [A] :
( relation(A)
<=> ! [B] :
~ ( in(B,A)
& ! [C,D] : B != ordered_pair(C,D) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_relat_1) ).
cnf(3,plain,
( ~ in(X0,X1)
| ~ relation(X1)
| X0 = ordered_pair(sK1(X1,X0),sK2(X1,X0)) ),
inference(cnf,[status(esa)],[d1_relat_1]) ).
cnf(l1,plain,
( ~ in(sK6(sK11),sK11)
| ~ relation(sK11)
| sK6(sK11) = ordered_pair(sK1(sK11,sK6(sK11)),sK2(sK11,sK6(sK11))) ),
inference(instantiation,[status(thm)],[3]) ).
fof(t2_subset,plain,
! [A,B] :
( element(A,B)
=> ( empty(B)
| in(A,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
cnf(21,plain,
( ~ element(X0,X1)
| empty(X1)
| in(X0,X1) ),
inference(cnf,[status(esa)],[t2_subset]) ).
cnf(l2,plain,
( ~ element(sK6(sK11),sK11)
| empty(sK11)
| in(sK6(sK11),sK11) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(l5,plain,
( ~ element(sK6(sK11),sK11)
| empty(sK11)
| in(sK6(sK11),sK11) ),
inference(instantiation,[status(thm)],[21]) ).
fof(t8_boole,plain,
! [A,B] :
~ ( empty(A)
& A != B
& empty(B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
cnf(27,plain,
( ~ empty(X0)
| ~ empty(X1)
| X0 = X1 ),
inference(cnf,[status(esa)],[t8_boole]) ).
cnf(l8,plain,
( ~ empty(sK11)
| ~ empty(empty_set)
| sK11 = empty_set ),
inference(instantiation,[status(thm)],[27]) ).
fof(existence_m1_subset_1,plain,
! [A] :
? [B] : element(B,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
cnf(7,plain,
element(sK6(X0),X0),
inference(cnf,[status(esa)],[existence_m1_subset_1]) ).
cnf(l6,plain,
element(sK6(sK11),sK11),
inference(instantiation,[status(thm)],[7]) ).
cnf(l10,plain,
element(sK6(sK11),sK11),
inference(instantiation,[status(thm)],[7]) ).
cnf(l7,plain,
( ~ empty(sK11)
| ~ empty(empty_set)
| sK11 = empty_set ),
inference(instantiation,[status(thm)],[27]) ).
cnf(l69,plain,
( ~ in(ordered_pair(sK1(sK11,sK6(sK11)),sK2(sK11,sK6(sK11))),sK11)
| ~ relation(sK11)
| ordered_pair(sK1(sK11,sK6(sK11)),sK2(sK11,sK6(sK11))) = ordered_pair(sK1(sK11,ordered_pair(sK1(sK11,sK6(sK11)),sK2(sK11,sK6(sK11)))),sK2(sK11,ordered_pair(sK1(sK11,sK6(sK11)),sK2(sK11,sK6(sK11))))) ),
inference(instantiation,[status(thm)],[3]) ).
fof(fc1_xboole_0,plain,
empty(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
cnf(8,plain,
empty(empty_set),
inference(cnf,[status(esa)],[fc1_xboole_0]) ).
cnf(l36,plain,
empty(empty_set),
inference(instantiation,[status(thm)],[8]) ).
cnf(l47,plain,
( ~ empty(sK11)
| ~ empty(empty_set)
| sK11 = empty_set ),
inference(instantiation,[status(thm)],[27]) ).
cnf(24,plain,
sK11 != empty_set,
inference(cnf,[status(esa)],[t56_relat_1_negated]) ).
cnf(l46,plain,
sK11 != empty_set,
inference(instantiation,[status(thm)],[24]) ).
cnf(l57,plain,
empty(empty_set),
inference(instantiation,[status(thm)],[8]) ).
cnf(l49,plain,
sK11 != empty_set,
inference(instantiation,[status(thm)],[24]) ).
cnf(23,plain,
~ in(ordered_pair(X0,X1),sK11),
inference(cnf,[status(esa)],[t56_relat_1_negated]) ).
cnf(l107,plain,
~ in(ordered_pair(sK1(sK11,ordered_pair(sK1(sK11,sK6(sK11)),sK2(sK11,sK6(sK11)))),sK2(sK11,ordered_pair(sK1(sK11,sK6(sK11)),sK2(sK11,sK6(sK11))))),sK11),
inference(instantiation,[status(thm)],[23]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l5,l8,l6,l10,l7,l69,l36,l47,l46,l57,l49,l107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU186+1 : TPTP v9.0.0. Released v3.3.0.
% 0.10/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n029.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 : Mon Jul 21 23:48:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 6
% 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: 7
% 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: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.35 % launching worker at depth: 11
% 0.19/0.49 % launching worker at depth: 12
% 4.64/0.91 % SZS status Theorem for theBenchmark
% 4.64/0.91 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------