%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET146+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 : n027.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 03:31:39 PM UTC 2025
% Result : Theorem 0.10s 0.33s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 29 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 11 ~; 8 |; 1 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 17 ( 2 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_th61,plain,
! [B] : intersection(B,empty_set) = empty_set,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th61) ).
fof(prove_th61_negated,plain,
~ ! [B] : intersection(B,empty_set) = empty_set,
inference(negate_conjecture,[status(cth)],[prove_th61]) ).
cnf(20,plain,
intersection(sK4,empty_set) != empty_set,
inference(cnf,[status(esa)],[prove_th61_negated]) ).
cnf(l0,plain,
intersection(sK4,empty_set) != empty_set,
inference(instantiation,[status(thm)],[20]) ).
fof(equal_member_defn,plain,
! [B,C] :
( B = C
<=> ! [D] :
( member(D,B)
<=> member(D,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_member_defn) ).
cnf(16,plain,
( member(sK3(X0,X1),X0)
| X0 = X1
| sP0(X1,X0) ),
inference(cnf,[status(esa)],[equal_member_defn]) ).
cnf(l1,plain,
( member(sK3(intersection(sK4,empty_set),empty_set),intersection(sK4,empty_set))
| intersection(sK4,empty_set) = empty_set
| sP0(empty_set,intersection(sK4,empty_set)) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(19,plain,
( member(sK3(X0,X1),X1)
| ~ sP0(X1,X0) ),
inference(cnf,[status(esa)],[equal_member_defn]) ).
cnf(l10,plain,
( member(sK3(intersection(sK4,empty_set),empty_set),empty_set)
| ~ sP0(empty_set,intersection(sK4,empty_set)) ),
inference(instantiation,[status(thm)],[19]) ).
fof(empty_set_defn,plain,
! [B] : ~ member(B,empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty_set_defn) ).
cnf(3,plain,
~ member(X0,empty_set),
inference(cnf,[status(esa)],[empty_set_defn]) ).
cnf(l11,plain,
~ member(sK3(intersection(sK4,empty_set),empty_set),empty_set),
inference(instantiation,[status(thm)],[3]) ).
fof(intersection_defn,plain,
! [B,C,D] :
( member(D,intersection(B,C))
<=> ( member(D,B)
& member(D,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_defn) ).
cnf(1,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
inference(cnf,[status(esa)],[intersection_defn]) ).
cnf(l2,plain,
( ~ member(sK3(intersection(sK4,empty_set),empty_set),intersection(sK4,empty_set))
| member(sK3(intersection(sK4,empty_set),empty_set),empty_set) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l6,plain,
~ member(sK3(intersection(sK4,empty_set),empty_set),empty_set),
inference(instantiation,[status(thm)],[3]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l10,l11,l2,l6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11 % Problem : SET146+3 : TPTP v9.0.0. Released v2.2.0.
% 0.08/0.11 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.32 % Computer : n027.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Mon Jul 21 20:11:19 EDT 2025
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % launching worker at depth: 5
% 0.10/0.32 % launching worker at depth: 6
% 0.10/0.32 % launching worker at depth: 1
% 0.10/0.32 % launching worker at depth: 3
% 0.10/0.32 % launching worker at depth: 2
% 0.10/0.32 % launching worker at depth: 4
% 0.10/0.32 % launching worker at depth: 7
% 0.10/0.32 % launching worker at depth: 8
% 0.10/0.32 % launching worker at depth: 9
% 0.10/0.32 % launching worker at depth: 10
% 0.10/0.33 % SZS status Theorem for theBenchmark
% 0.10/0.33 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------