%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET658+3 : TPTP v9.0.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n022.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 03:32:28 PM UTC 2025
% Result : Theorem 0.17s 0.38s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 5 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 32 ( 14 ~; 11 |; 0 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_relset_1_20,plain,
! [B] :
( ilf_type(B,binary_relation_type)
=> ilf_type(B,relation_type(domain_of(B),range_of(B))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_20) ).
fof(prove_relset_1_20_negated,plain,
~ ! [B] :
( ilf_type(B,binary_relation_type)
=> ilf_type(B,relation_type(domain_of(B),range_of(B))) ),
inference(negate_conjecture,[status(cth)],[prove_relset_1_20]) ).
cnf(50,plain,
ilf_type(sK17,binary_relation_type),
inference(cnf,[status(esa)],[prove_relset_1_20_negated]) ).
cnf(l0,plain,
ilf_type(sK17,binary_relation_type),
inference(instantiation,[status(thm)],[50]) ).
fof(p1,plain,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,binary_relation_type)
=> ( subset(domain_of(C),B)
=> ilf_type(C,relation_type(B,range_of(C))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
cnf(0,plain,
( ~ subset(domain_of(X0),X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,binary_relation_type)
| ilf_type(X0,relation_type(X1,range_of(X0))) ),
inference(cnf,[status(esa)],[p1]) ).
cnf(l1,plain,
( ~ subset(domain_of(sK17),domain_of(sK17))
| ~ ilf_type(domain_of(sK17),set_type)
| ~ ilf_type(sK17,binary_relation_type)
| ilf_type(sK17,relation_type(domain_of(sK17),range_of(sK17))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(51,plain,
~ ilf_type(sK17,relation_type(domain_of(sK17),range_of(sK17))),
inference(cnf,[status(esa)],[prove_relset_1_20_negated]) ).
cnf(l2,plain,
~ ilf_type(sK17,relation_type(domain_of(sK17),range_of(sK17))),
inference(instantiation,[status(thm)],[51]) ).
fof(p3,plain,
! [B] :
( ilf_type(B,binary_relation_type)
=> ilf_type(domain_of(B),set_type) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).
cnf(4,plain,
( ~ ilf_type(X0,binary_relation_type)
| ilf_type(domain_of(X0),set_type) ),
inference(cnf,[status(esa)],[p3]) ).
cnf(l5,plain,
( ~ ilf_type(sK17,binary_relation_type)
| ilf_type(domain_of(sK17),set_type) ),
inference(instantiation,[status(thm)],[4]) ).
fof(p15,plain,
! [B] :
( ilf_type(B,set_type)
=> subset(B,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15) ).
cnf(24,plain,
( ~ ilf_type(X0,set_type)
| subset(X0,X0) ),
inference(cnf,[status(esa)],[p15]) ).
cnf(l6,plain,
( ~ ilf_type(domain_of(sK17),set_type)
| subset(domain_of(sK17),domain_of(sK17)) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(l13,plain,
( ~ ilf_type(sK17,binary_relation_type)
| ilf_type(domain_of(sK17),set_type) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l5,l6,l13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET658+3 : TPTP v9.0.0. Released v2.2.0.
% 0.03/0.11 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32 % Computer : n022.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Jul 21 22:13:04 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % launching worker at depth: 1
% 0.11/0.33 % launching worker at depth: 8
% 0.11/0.33 % launching worker at depth: 3
% 0.11/0.33 % launching worker at depth: 4
% 0.11/0.33 % launching worker at depth: 5
% 0.11/0.33 % launching worker at depth: 6
% 0.11/0.33 % launching worker at depth: 7
% 0.11/0.33 % launching worker at depth: 2
% 0.11/0.33 % launching worker at depth: 9
% 0.11/0.33 % launching worker at depth: 10
% 0.17/0.38 % SZS status Theorem for theBenchmark
% 0.17/0.38 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------