%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET653+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 : n028.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 0.19s 0.52s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 28 ( 17 unt; 0 def)
% Number of atoms : 78 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 79 ( 29 ~; 26 |; 2 &)
% ( 0 <=>; 22 =>; 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 : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 30 ( 1 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_relset_1_15,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(B,D))
=> ( subset(B,C)
=> ilf_type(E,relation_type(C,D)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_15) ).
fof(prove_relset_1_15_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(B,D))
=> ( subset(B,C)
=> ilf_type(E,relation_type(C,D)) ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[prove_relset_1_15]) ).
cnf(40,plain,
ilf_type(sK12,set_type),
inference(cnf,[status(esa)],[prove_relset_1_15_negated]) ).
cnf(l0,plain,
ilf_type(sK12,set_type),
inference(instantiation,[status(thm)],[40]) ).
fof(p1,plain,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,set_type)
=> ( ( subset(B,C)
& subset(C,D) )
=> subset(B,D) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
cnf(0,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X2)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| subset(X0,X2) ),
inference(cnf,[status(esa)],[p1]) ).
cnf(l1,plain,
( ~ subset(domain_of(sK15),sK12)
| ~ subset(sK12,sK13)
| ~ ilf_type(domain_of(sK15),set_type)
| ~ ilf_type(sK12,set_type)
| ~ ilf_type(sK13,set_type)
| subset(domain_of(sK15),sK13) ),
inference(instantiation,[status(thm)],[0]) ).
fof(p3,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(B,D))
=> ( subset(domain_of(E),C)
=> ilf_type(E,relation_type(C,D)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3) ).
cnf(3,plain,
( ~ subset(domain_of(X0),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X0,relation_type(X2,X3))
| ilf_type(X0,relation_type(X1,X3)) ),
inference(cnf,[status(esa)],[p3]) ).
cnf(l28,plain,
( ~ subset(domain_of(sK15),sK13)
| ~ ilf_type(sK12,set_type)
| ~ ilf_type(sK13,set_type)
| ~ ilf_type(sK14,set_type)
| ~ ilf_type(sK15,relation_type(sK12,sK14))
| ilf_type(sK15,relation_type(sK13,sK14)) ),
inference(instantiation,[status(thm)],[3]) ).
fof(p22,plain,
! [B] : ilf_type(B,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22) ).
cnf(39,plain,
ilf_type(X0,set_type),
inference(cnf,[status(esa)],[p22]) ).
cnf(l25,plain,
ilf_type(sK13,set_type),
inference(instantiation,[status(thm)],[39]) ).
cnf(44,plain,
subset(sK12,sK13),
inference(cnf,[status(esa)],[prove_relset_1_15_negated]) ).
cnf(l6,plain,
subset(sK12,sK13),
inference(instantiation,[status(thm)],[44]) ).
cnf(45,plain,
~ ilf_type(sK15,relation_type(sK13,sK14)),
inference(cnf,[status(esa)],[prove_relset_1_15_negated]) ).
cnf(l32,plain,
~ ilf_type(sK15,relation_type(sK13,sK14)),
inference(instantiation,[status(thm)],[45]) ).
cnf(l30,plain,
ilf_type(sK14,set_type),
inference(instantiation,[status(thm)],[39]) ).
cnf(43,plain,
ilf_type(sK15,relation_type(sK12,sK14)),
inference(cnf,[status(esa)],[prove_relset_1_15_negated]) ).
cnf(l41,plain,
ilf_type(sK15,relation_type(sK12,sK14)),
inference(instantiation,[status(thm)],[43]) ).
fof(p2,plain,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,relation_type(B,C))
=> ( subset(domain_of(D),B)
& subset(range_of(D),C) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).
cnf(1,plain,
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| subset(domain_of(X2),X0) ),
inference(cnf,[status(esa)],[p2]) ).
cnf(l2,plain,
( ~ ilf_type(sK12,set_type)
| ~ ilf_type(sK14,set_type)
| ~ ilf_type(sK15,relation_type(sK12,sK14))
| subset(domain_of(sK15),sK12) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l36,plain,
ilf_type(sK15,relation_type(sK12,sK14)),
inference(instantiation,[status(thm)],[43]) ).
cnf(l33,plain,
ilf_type(sK13,set_type),
inference(instantiation,[status(thm)],[39]) ).
cnf(l18,plain,
ilf_type(domain_of(sK15),set_type),
inference(instantiation,[status(thm)],[39]) ).
cnf(l4,plain,
ilf_type(sK14,set_type),
inference(instantiation,[status(thm)],[39]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l28,l25,l6,l32,l30,l41,l2,l36,l33,l18,l4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET653+3 : TPTP v9.0.0. Released v2.2.0.
% 0.03/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Jul 21 22:13:04 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 2
% 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
% 0.19/0.37 % launching worker at depth: 10
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------