%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU062+1 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n021.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 03:44:26 PM UTC 2025
% Result : Theorem 0.15s 0.34s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 6 unt; 0 def)
% Number of atoms : 38 ( 7 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 35 ( 15 ~; 10 |; 2 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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; 3 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t143_funct_1,plain,
! [A,B] :
( relation(B)
=> ( ! [C] :
~ ( in(C,A)
& relation_inverse_image(B,singleton(C)) = empty_set )
=> subset(A,relation_rng(B)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t143_funct_1) ).
fof(t143_funct_1_negated,plain,
~ ! [A,B] :
( relation(B)
=> ( ! [C] :
~ ( in(C,A)
& relation_inverse_image(B,singleton(C)) = empty_set )
=> subset(A,relation_rng(B)) ) ),
inference(negate_conjecture,[status(cth)],[t143_funct_1]) ).
cnf(43,plain,
( ~ in(X0,sK13)
| relation_inverse_image(sK14,singleton(X0)) != empty_set ),
inference(cnf,[status(esa)],[t143_funct_1_negated]) ).
cnf(l0,plain,
( ~ in(sK1(sK13,relation_rng(sK14)),sK13)
| relation_inverse_image(sK14,singleton(sK1(sK13,relation_rng(sK14)))) != empty_set ),
inference(instantiation,[status(thm)],[43]) ).
fof(t142_funct_1,plain,
! [A,B] :
( relation(B)
=> ( in(A,relation_rng(B))
<=> relation_inverse_image(B,singleton(A)) != empty_set ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t142_funct_1) ).
cnf(41,plain,
( ~ relation(X0)
| in(X1,relation_rng(X0))
| relation_inverse_image(X0,singleton(X1)) = empty_set ),
inference(cnf,[status(esa)],[t142_funct_1]) ).
cnf(l19,plain,
( ~ relation(sK14)
| in(sK1(sK13,relation_rng(sK14)),relation_rng(sK14))
| relation_inverse_image(sK14,singleton(sK1(sK13,relation_rng(sK14)))) = empty_set ),
inference(instantiation,[status(thm)],[41]) ).
cnf(42,plain,
relation(sK14),
inference(cnf,[status(esa)],[t143_funct_1_negated]) ).
cnf(l20,plain,
relation(sK14),
inference(instantiation,[status(thm)],[42]) ).
fof(d3_tarski,plain,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( in(C,A)
=> in(C,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
cnf(5,plain,
( in(sK1(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
cnf(l1,plain,
( in(sK1(sK13,relation_rng(sK14)),sK13)
| subset(sK13,relation_rng(sK14)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(6,plain,
( ~ in(sK1(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
cnf(l21,plain,
( ~ in(sK1(sK13,relation_rng(sK14)),relation_rng(sK14))
| subset(sK13,relation_rng(sK14)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(44,plain,
~ subset(sK13,relation_rng(sK14)),
inference(cnf,[status(esa)],[t143_funct_1_negated]) ).
cnf(l12,plain,
~ subset(sK13,relation_rng(sK14)),
inference(instantiation,[status(thm)],[44]) ).
cnf(l23,plain,
~ subset(sK13,relation_rng(sK14)),
inference(instantiation,[status(thm)],[44]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l19,l20,l1,l21,l12,l23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SEU062+1 : TPTP v9.0.0. Released v3.2.0.
% 0.02/0.10 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.30 % Computer : n021.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon Jul 21 23:21:19 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % launching worker at depth: 5
% 0.10/0.31 % launching worker at depth: 4
% 0.10/0.31 % launching worker at depth: 1
% 0.10/0.31 % launching worker at depth: 2
% 0.10/0.31 % launching worker at depth: 3
% 0.10/0.31 % launching worker at depth: 6
% 0.10/0.31 % launching worker at depth: 7
% 0.10/0.31 % launching worker at depth: 8
% 0.15/0.31 % launching worker at depth: 9
% 0.15/0.32 % launching worker at depth: 10
% 0.15/0.34 % SZS status Theorem for theBenchmark
% 0.15/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------