%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET642+3 : TPTP v9.0.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n024.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 03:32:27 PM UTC 2025
% Result : Theorem 0.20s 0.42s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 15 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 58 ( 21 ~; 18 |; 0 &)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_relset_1_4,plain,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,set_type)
=> ! [E] :
( ilf_type(E,relation_type(C,D))
=> ( subset(B,E)
=> ilf_type(B,relation_type(C,D)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_4) ).
fof(prove_relset_1_4_negated,plain,
~ ! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,set_type)
=> ! [E] :
( ilf_type(E,relation_type(C,D))
=> ( subset(B,E)
=> ilf_type(B,relation_type(C,D)) ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[prove_relset_1_4]) ).
cnf(36,plain,
ilf_type(sK12,set_type),
inference(cnf,[status(esa)],[prove_relset_1_4_negated]) ).
cnf(l0,plain,
ilf_type(sK12,set_type),
inference(instantiation,[status(thm)],[36]) ).
fof(p2,plain,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,set_type)
=> ( subset(B,cross_product(C,D))
=> ilf_type(B,relation_type(C,D)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).
cnf(1,plain,
( ~ subset(X0,cross_product(X1,X2))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ilf_type(X0,relation_type(X1,X2)) ),
inference(cnf,[status(esa)],[p2]) ).
cnf(l1,plain,
( ~ subset(sK12,cross_product(sK13,sK14))
| ~ ilf_type(sK12,set_type)
| ~ ilf_type(sK13,set_type)
| ~ ilf_type(sK14,set_type)
| ilf_type(sK12,relation_type(sK13,sK14)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(41,plain,
~ ilf_type(sK12,relation_type(sK13,sK14)),
inference(cnf,[status(esa)],[prove_relset_1_4_negated]) ).
cnf(l16,plain,
~ ilf_type(sK12,relation_type(sK13,sK14)),
inference(instantiation,[status(thm)],[41]) ).
cnf(37,plain,
ilf_type(sK13,set_type),
inference(cnf,[status(esa)],[prove_relset_1_4_negated]) ).
cnf(l4,plain,
ilf_type(sK13,set_type),
inference(instantiation,[status(thm)],[37]) ).
cnf(38,plain,
ilf_type(sK14,set_type),
inference(cnf,[status(esa)],[prove_relset_1_4_negated]) ).
cnf(l3,plain,
ilf_type(sK14,set_type),
inference(instantiation,[status(thm)],[38]) ).
fof(p1,plain,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,set_type)
=> ! [E] :
( ilf_type(E,relation_type(C,D))
=> ( subset(B,E)
=> subset(B,cross_product(C,D)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
cnf(0,plain,
( ~ subset(X0,X1)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,relation_type(X2,X3))
| subset(X0,cross_product(X2,X3)) ),
inference(cnf,[status(esa)],[p1]) ).
cnf(l2,plain,
( ~ subset(sK12,sK15)
| ~ ilf_type(sK12,set_type)
| ~ ilf_type(sK13,set_type)
| ~ ilf_type(sK14,set_type)
| ~ ilf_type(sK15,relation_type(sK13,sK14))
| subset(sK12,cross_product(sK13,sK14)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(39,plain,
ilf_type(sK15,relation_type(sK13,sK14)),
inference(cnf,[status(esa)],[prove_relset_1_4_negated]) ).
cnf(l14,plain,
ilf_type(sK15,relation_type(sK13,sK14)),
inference(instantiation,[status(thm)],[39]) ).
cnf(l7,plain,
ilf_type(sK14,set_type),
inference(instantiation,[status(thm)],[38]) ).
cnf(40,plain,
subset(sK12,sK15),
inference(cnf,[status(esa)],[prove_relset_1_4_negated]) ).
cnf(l13,plain,
subset(sK12,sK15),
inference(instantiation,[status(thm)],[40]) ).
cnf(l12,plain,
ilf_type(sK13,set_type),
inference(instantiation,[status(thm)],[37]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l16,l4,l3,l2,l14,l7,l13,l12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET642+3 : TPTP v9.0.0. Released v2.2.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n024.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 22:11:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.37 % launching worker at depth: 10
% 0.20/0.42 % SZS status Theorem for theBenchmark
% 0.20/0.42 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------