%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET676+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 : n029.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 03:32:30 PM UTC 2025
% Result : Theorem 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 30 ( 13 ~; 10 |; 0 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 1 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_relset_1_41,plain,
! [B] :
( ilf_type(B,set_type)
=> ilf_type(cross_product(B,B),identity_relation_of_type(B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_41) ).
fof(prove_relset_1_41_negated,plain,
~ ! [B] :
( ilf_type(B,set_type)
=> ilf_type(cross_product(B,B),identity_relation_of_type(B)) ),
inference(negate_conjecture,[status(cth)],[prove_relset_1_41]) ).
cnf(39,plain,
ilf_type(sK16,set_type),
inference(cnf,[status(esa)],[prove_relset_1_41_negated]) ).
cnf(l0,plain,
ilf_type(sK16,set_type),
inference(instantiation,[status(thm)],[39]) ).
fof(p4,plain,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ( ilf_type(C,identity_relation_of_type(B))
<=> ilf_type(C,relation_type(B,B)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4) ).
cnf(9,plain,
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,relation_type(X0,X0))
| ~ ilf_type(X1,set_type)
| ilf_type(X1,identity_relation_of_type(X0)) ),
inference(cnf,[status(esa)],[p4]) ).
cnf(l1,plain,
( ~ ilf_type(sK16,set_type)
| ~ ilf_type(cross_product(sK16,sK16),relation_type(sK16,sK16))
| ~ ilf_type(cross_product(sK16,sK16),set_type)
| ilf_type(cross_product(sK16,sK16),identity_relation_of_type(sK16)) ),
inference(instantiation,[status(thm)],[9]) ).
fof(p1,plain,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ilf_type(cross_product(B,C),relation_type(B,C)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
cnf(0,plain,
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ilf_type(cross_product(X0,X1),relation_type(X0,X1)) ),
inference(cnf,[status(esa)],[p1]) ).
cnf(l5,plain,
( ~ ilf_type(sK16,set_type)
| ~ ilf_type(sK16,set_type)
| ilf_type(cross_product(sK16,sK16),relation_type(sK16,sK16)) ),
inference(instantiation,[status(thm)],[0]) ).
fof(p19,plain,
! [B] : ilf_type(B,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19) ).
cnf(38,plain,
ilf_type(X0,set_type),
inference(cnf,[status(esa)],[p19]) ).
cnf(l4,plain,
ilf_type(cross_product(sK16,sK16),set_type),
inference(instantiation,[status(thm)],[38]) ).
cnf(40,plain,
~ ilf_type(cross_product(sK16,sK16),identity_relation_of_type(sK16)),
inference(cnf,[status(esa)],[prove_relset_1_41_negated]) ).
cnf(l3,plain,
~ ilf_type(cross_product(sK16,sK16),identity_relation_of_type(sK16)),
inference(instantiation,[status(thm)],[40]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l5,l4,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET676+3 : TPTP v9.0.0. Released v2.2.0.
% 0.03/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jul 21 22:17:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.35 % SZS status Theorem for theBenchmark
% 0.12/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------