%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU247+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 : n020.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 03:44:59 PM UTC 2025
% Result : Theorem 0.08s 0.27s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 21 ( 10 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 7 ~; 4 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t18_wellord1,plain,
! [A,B] :
( relation(B)
=> relation_restriction(B,A) = relation_rng_restriction(A,relation_dom_restriction(B,A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_wellord1) ).
fof(t18_wellord1_negated,plain,
~ ! [A,B] :
( relation(B)
=> relation_restriction(B,A) = relation_rng_restriction(A,relation_dom_restriction(B,A)) ),
inference(negate_conjecture,[status(cth)],[t18_wellord1]) ).
cnf(8,plain,
relation(sK2),
inference(cnf,[status(esa)],[t18_wellord1_negated]) ).
cnf(l0,plain,
relation(sK2),
inference(instantiation,[status(thm)],[8]) ).
fof(t140_relat_1,plain,
! [A,B,C] :
( relation(C)
=> relation_dom_restriction(relation_rng_restriction(A,C),B) = relation_rng_restriction(A,relation_dom_restriction(C,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t140_relat_1) ).
cnf(6,plain,
( ~ relation(X0)
| relation_dom_restriction(relation_rng_restriction(X1,X0),X2) = relation_rng_restriction(X1,relation_dom_restriction(X0,X2)) ),
inference(cnf,[status(esa)],[t140_relat_1]) ).
cnf(l1,plain,
( ~ relation(sK2)
| relation_dom_restriction(relation_rng_restriction(sK1,sK2),sK1) = relation_rng_restriction(sK1,relation_dom_restriction(sK2,sK1)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(9,plain,
relation_restriction(sK2,sK1) != relation_rng_restriction(sK1,relation_dom_restriction(sK2,sK1)),
inference(cnf,[status(esa)],[t18_wellord1_negated]) ).
cnf(l3,plain,
relation_restriction(sK2,sK1) != relation_rng_restriction(sK1,relation_dom_restriction(sK2,sK1)),
inference(instantiation,[status(thm)],[9]) ).
fof(t17_wellord1,plain,
! [A,B] :
( relation(B)
=> relation_restriction(B,A) = relation_dom_restriction(relation_rng_restriction(A,B),A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_wellord1) ).
cnf(7,plain,
( ~ relation(X0)
| relation_restriction(X0,X1) = relation_dom_restriction(relation_rng_restriction(X1,X0),X1) ),
inference(cnf,[status(esa)],[t17_wellord1]) ).
cnf(l4,plain,
( ~ relation(sK2)
| relation_restriction(sK2,sK1) = relation_dom_restriction(relation_rng_restriction(sK1,sK2),sK1) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.07 % Problem : SEU247+1 : TPTP v9.0.0. Released v3.3.0.
% 0.01/0.07 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.26 % Computer : n020.cluster.edu
% 0.08/0.26 % Model : x86_64 x86_64
% 0.08/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.26 % Memory : 8042.1875MB
% 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.26 % CPULimit : 300
% 0.08/0.26 % WCLimit : 300
% 0.08/0.26 % DateTime : Tue Jul 22 00:16:03 EDT 2025
% 0.08/0.26 % CPUTime :
% 0.08/0.26 % launching worker at depth: 5
% 0.08/0.26 % launching worker at depth: 6
% 0.08/0.26 % launching worker at depth: 2
% 0.08/0.26 % launching worker at depth: 1
% 0.08/0.26 % launching worker at depth: 3
% 0.08/0.26 % launching worker at depth: 4
% 0.08/0.26 % launching worker at depth: 7
% 0.08/0.26 % launching worker at depth: 8
% 0.08/0.26 % launching worker at depth: 9
% 0.08/0.26 % launching worker at depth: 10
% 0.08/0.27 % SZS status Theorem for theBenchmark
% 0.08/0.27 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------