%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU188+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 : 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 03:44:46 PM UTC 2025
% Result : Theorem 194.51s 24.76s
% Output : CNFRefutation 194.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of formulae : 37 ( 16 unt; 0 def)
% Number of atoms : 75 ( 17 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 69 ( 31 ~; 25 |; 6 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 21 ( 1 sgn 11 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t64_relat_1,plain,
! [A] :
( relation(A)
=> ( ( relation_dom(A) = empty_set
| relation_rng(A) = empty_set )
=> A = empty_set ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_relat_1) ).
fof(t64_relat_1_negated,plain,
~ ! [A] :
( relation(A)
=> ( ( relation_dom(A) = empty_set
| relation_rng(A) = empty_set )
=> A = empty_set ) ),
inference(negate_conjecture,[status(cth)],[t64_relat_1]) ).
cnf(39,plain,
( relation_rng(sK18) = empty_set
| relation_dom(sK18) = empty_set ),
inference(cnf,[status(esa)],[t64_relat_1_negated]) ).
cnf(l0,plain,
( relation_rng(sK18) = empty_set
| relation_dom(sK18) = empty_set ),
inference(instantiation,[status(thm)],[39]) ).
fof(t2_subset,plain,
! [A,B] :
( element(A,B)
=> ( empty(B)
| in(A,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
cnf(36,plain,
( ~ element(X0,X1)
| empty(X1)
| in(X0,X1) ),
inference(cnf,[status(esa)],[t2_subset]) ).
cnf(l501,plain,
( ~ element(sK11(empty_set),relation_dom(sK18))
| empty(relation_dom(sK18))
| in(sK11(empty_set),relation_dom(sK18)) ),
inference(instantiation,[status(thm)],[36]) ).
fof(existence_m1_subset_1,plain,
! [A] :
? [B] : element(B,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
cnf(16,plain,
element(sK11(X0),X0),
inference(cnf,[status(esa)],[existence_m1_subset_1]) ).
cnf(l527,plain,
element(sK11(empty_set),empty_set),
inference(instantiation,[status(thm)],[16]) ).
fof(t8_boole,plain,
! [A,B] :
~ ( empty(A)
& A != B
& empty(B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
cnf(43,plain,
( ~ empty(X0)
| ~ empty(X1)
| X0 = X1 ),
inference(cnf,[status(esa)],[t8_boole]) ).
cnf(l429,plain,
( ~ empty(sK18)
| ~ empty(relation_dom(sK18))
| sK18 = relation_dom(sK18) ),
inference(instantiation,[status(thm)],[43]) ).
fof(t7_boole,plain,
! [A,B] :
~ ( in(A,B)
& empty(B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
cnf(42,plain,
( ~ empty(X0)
| ~ in(X1,X0) ),
inference(cnf,[status(esa)],[t7_boole]) ).
cnf(l541,plain,
( ~ empty(empty_set)
| ~ in(sK11(empty_set),empty_set) ),
inference(instantiation,[status(thm)],[42]) ).
cnf(40,plain,
sK18 != empty_set,
inference(cnf,[status(esa)],[t64_relat_1_negated]) ).
cnf(l435,plain,
sK18 != empty_set,
inference(instantiation,[status(thm)],[40]) ).
fof(fc4_relat_1,plain,
( empty(empty_set)
& relation(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_relat_1) ).
cnf(21,plain,
empty(empty_set),
inference(cnf,[status(esa)],[fc4_relat_1]) ).
cnf(l553,plain,
empty(empty_set),
inference(instantiation,[status(thm)],[21]) ).
fof(fc6_relat_1,plain,
! [A] :
( ( ~ empty(A)
& relation(A) )
=> ~ empty(relation_rng(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_relat_1) ).
cnf(24,plain,
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(cnf,[status(esa)],[fc6_relat_1]) ).
cnf(l207,plain,
( ~ empty(relation_rng(sK18))
| ~ relation(sK18)
| empty(sK18) ),
inference(instantiation,[status(thm)],[24]) ).
fof(fc1_xboole_0,plain,
empty(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
cnf(17,plain,
empty(empty_set),
inference(cnf,[status(esa)],[fc1_xboole_0]) ).
cnf(l185,plain,
empty(empty_set),
inference(instantiation,[status(thm)],[17]) ).
cnf(l243,plain,
( ~ empty(sK18)
| ~ empty(empty_set)
| sK18 = empty_set ),
inference(instantiation,[status(thm)],[43]) ).
cnf(l267,plain,
sK18 != empty_set,
inference(instantiation,[status(thm)],[40]) ).
fof(fc5_relat_1,plain,
! [A] :
( ( ~ empty(A)
& relation(A) )
=> ~ empty(relation_dom(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_relat_1) ).
cnf(23,plain,
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(cnf,[status(esa)],[fc5_relat_1]) ).
cnf(l451,plain,
( ~ empty(relation_dom(sK18))
| ~ relation(sK18)
| empty(sK18) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(l249,plain,
empty(empty_set),
inference(instantiation,[status(thm)],[17]) ).
cnf(38,plain,
relation(sK18),
inference(cnf,[status(esa)],[t64_relat_1_negated]) ).
cnf(l457,plain,
relation(sK18),
inference(instantiation,[status(thm)],[38]) ).
cnf(l238,plain,
relation(sK18),
inference(instantiation,[status(thm)],[38]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l501,l527,l429,l541,l435,l553,l207,l185,l243,l267,l451,l249,l457,l238]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU188+1 : TPTP v9.0.0. Released v3.3.0.
% 0.03/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Jul 21 23:49:34 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 5
% 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: 2
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.36 % launching worker at depth: 10
% 0.20/0.46 % launching worker at depth: 11
% 16.11/2.39 % launching worker at depth: 12
% 194.51/24.76 % SZS status Theorem for theBenchmark
% 194.51/24.76 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------