%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU187+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 : n017.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 2.33s 0.64s
% Output : CNFRefutation 2.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 35 ( 11 unt; 0 def)
% Number of atoms : 75 ( 18 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 70 ( 30 ~; 27 |; 4 &)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-3 aty)
% Number of variables : 25 ( 1 sgn 12 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t60_relat_1,plain,
( relation_dom(empty_set) = empty_set
& relation_rng(empty_set) = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t60_relat_1) ).
fof(t60_relat_1_negated,plain,
~ ( relation_dom(empty_set) = empty_set
& relation_rng(empty_set) = empty_set ),
inference(negate_conjecture,[status(cth)],[t60_relat_1]) ).
cnf(35,plain,
( relation_rng(empty_set) != empty_set
| relation_dom(empty_set) != empty_set ),
inference(cnf,[status(esa)],[t60_relat_1_negated]) ).
cnf(l0,plain,
( relation_rng(empty_set) != empty_set
| relation_dom(empty_set) != empty_set ),
inference(instantiation,[status(thm)],[35]) ).
fof(t2_tarski,plain,
! [A,B] :
( ! [C] :
( in(C,A)
<=> in(C,B) )
=> A = B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tarski) ).
cnf(33,plain,
( X0 = X1
| in(sK16(X0,X1),X0)
| in(sK16(X0,X1),X1) ),
inference(cnf,[status(esa)],[t2_tarski]) ).
cnf(l3,plain,
( relation_dom(empty_set) = empty_set
| in(sK16(relation_dom(empty_set),empty_set),relation_dom(empty_set))
| in(sK16(relation_dom(empty_set),empty_set),empty_set) ),
inference(instantiation,[status(thm)],[33]) ).
fof(t7_boole,plain,
! [A,B] :
~ ( in(A,B)
& empty(B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
cnf(37,plain,
( ~ empty(X0)
| ~ in(X1,X0) ),
inference(cnf,[status(esa)],[t7_boole]) ).
cnf(l69,plain,
( ~ empty(empty_set)
| ~ in(sK16(relation_dom(empty_set),empty_set),empty_set) ),
inference(instantiation,[status(thm)],[37]) ).
cnf(l1,plain,
( relation_rng(empty_set) = empty_set
| in(sK16(relation_rng(empty_set),empty_set),relation_rng(empty_set))
| in(sK16(relation_rng(empty_set),empty_set),empty_set) ),
inference(instantiation,[status(thm)],[33]) ).
fof(fc1_xboole_0,plain,
empty(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
cnf(17,plain,
empty(empty_set),
inference(cnf,[status(esa)],[fc1_xboole_0]) ).
cnf(l83,plain,
empty(empty_set),
inference(instantiation,[status(thm)],[17]) ).
fof(d5_relat_1,plain,
! [A] :
( relation(A)
=> ! [B] :
( B = relation_rng(A)
<=> ! [C] :
( in(C,B)
<=> ? [D] : in(ordered_pair(D,C),A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_relat_1) ).
cnf(9,plain,
( X0 != relation_rng(X1)
| ~ in(X2,X0)
| ~ relation(X1)
| in(ordered_pair(sK6(X1,X0,X2),X2),X1) ),
inference(cnf,[status(esa)],[d5_relat_1]) ).
cnf(l2,plain,
( relation_rng(empty_set) != relation_rng(empty_set)
| ~ in(sK16(relation_rng(empty_set),empty_set),relation_rng(empty_set))
| ~ relation(empty_set)
| in(ordered_pair(sK6(empty_set,relation_rng(empty_set),sK16(relation_rng(empty_set),empty_set)),sK16(relation_rng(empty_set),empty_set)),empty_set) ),
inference(instantiation,[status(thm)],[9]) ).
fof(d4_relat_1,plain,
! [A] :
( relation(A)
=> ! [B] :
( B = relation_dom(A)
<=> ! [C] :
( in(C,B)
<=> ? [D] : in(ordered_pair(C,D),A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relat_1) ).
cnf(3,plain,
( X0 != relation_dom(X1)
| ~ in(X2,X0)
| ~ relation(X1)
| in(ordered_pair(X2,sK1(X1,X0,X2)),X1) ),
inference(cnf,[status(esa)],[d4_relat_1]) ).
cnf(l8,plain,
( relation_dom(empty_set) != relation_dom(empty_set)
| ~ in(sK16(relation_dom(empty_set),empty_set),relation_dom(empty_set))
| ~ relation(empty_set)
| in(ordered_pair(sK16(relation_dom(empty_set),empty_set),sK1(empty_set,relation_dom(empty_set),sK16(relation_dom(empty_set),empty_set))),empty_set) ),
inference(instantiation,[status(thm)],[3]) ).
fof(cc1_relat_1,plain,
! [A] :
( empty(A)
=> relation(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relat_1) ).
cnf(1,plain,
( ~ empty(X0)
| relation(X0) ),
inference(cnf,[status(esa)],[cc1_relat_1]) ).
cnf(l53,plain,
( ~ empty(empty_set)
| relation(empty_set) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l93,plain,
( ~ empty(empty_set)
| ~ in(sK16(relation_rng(empty_set),empty_set),empty_set) ),
inference(instantiation,[status(thm)],[37]) ).
fof(fc4_relat_1,plain,
( empty(empty_set)
& relation(empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_relat_1) ).
cnf(22,plain,
relation(empty_set),
inference(cnf,[status(esa)],[fc4_relat_1]) ).
cnf(l4,plain,
relation(empty_set),
inference(instantiation,[status(thm)],[22]) ).
cnf(21,plain,
empty(empty_set),
inference(cnf,[status(esa)],[fc4_relat_1]) ).
cnf(l61,plain,
empty(empty_set),
inference(instantiation,[status(thm)],[21]) ).
cnf(l73,plain,
( ~ empty(empty_set)
| ~ in(ordered_pair(sK16(relation_dom(empty_set),empty_set),sK1(empty_set,relation_dom(empty_set),sK16(relation_dom(empty_set),empty_set))),empty_set) ),
inference(instantiation,[status(thm)],[37]) ).
cnf(l81,plain,
empty(empty_set),
inference(instantiation,[status(thm)],[17]) ).
cnf(l94,plain,
empty(empty_set),
inference(instantiation,[status(thm)],[21]) ).
cnf(l98,plain,
( ~ empty(empty_set)
| ~ in(ordered_pair(sK6(empty_set,relation_rng(empty_set),sK16(relation_rng(empty_set),empty_set)),sK16(relation_rng(empty_set),empty_set)),empty_set) ),
inference(instantiation,[status(thm)],[37]) ).
cnf(l105,plain,
empty(empty_set),
inference(instantiation,[status(thm)],[17]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l3,l69,l1,l83,l2,l8,l53,l93,l4,l61,l73,l81,l94,l98,l105]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU187+1 : TPTP v9.0.0. Released v3.3.0.
% 0.03/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Jul 21 23:49:19 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 1
% 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: 4
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.20/0.35 % launching worker at depth: 10
% 0.20/0.40 % launching worker at depth: 11
% 2.33/0.64 % SZS status Theorem for theBenchmark
% 2.33/0.64 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------