%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET627+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 : 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 03:32:24 PM UTC 2025
% Result : Theorem 0.12s 0.33s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 8 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 8 |; 1 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 18 ( 2 sgn 9 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_th104,plain,
! [B] : disjoint(B,empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th104) ).
fof(prove_th104_negated,plain,
~ ! [B] : disjoint(B,empty_set),
inference(negate_conjecture,[status(cth)],[prove_th104]) ).
cnf(9,plain,
~ disjoint(sK4,empty_set),
inference(cnf,[status(esa)],[prove_th104_negated]) ).
cnf(l0,plain,
~ disjoint(sK4,empty_set),
inference(instantiation,[status(thm)],[9]) ).
fof(disjoint_defn,plain,
! [B,C] :
( disjoint(B,C)
<=> ~ intersect(B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',disjoint_defn) ).
cnf(5,plain,
( intersect(X0,X1)
| disjoint(X0,X1) ),
inference(cnf,[status(esa)],[disjoint_defn]) ).
cnf(l1,plain,
( intersect(sK4,empty_set)
| disjoint(sK4,empty_set) ),
inference(instantiation,[status(thm)],[5]) ).
fof(intersect_defn,plain,
! [B,C] :
( intersect(B,C)
<=> ? [D] :
( member(D,B)
& member(D,C) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersect_defn) ).
cnf(2,plain,
( ~ intersect(X0,X1)
| member(sK1(X0,X1),X1) ),
inference(cnf,[status(esa)],[intersect_defn]) ).
cnf(l2,plain,
( ~ intersect(sK4,empty_set)
| member(sK1(sK4,empty_set),empty_set) ),
inference(instantiation,[status(thm)],[2]) ).
fof(empty_defn,plain,
! [B] :
( empty(B)
<=> ! [C] : ~ member(C,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_defn) ).
cnf(7,plain,
( ~ member(X0,X1)
| ~ empty(X1) ),
inference(cnf,[status(esa)],[empty_defn]) ).
cnf(l3,plain,
( ~ member(sK1(sK4,empty_set),empty_set)
| ~ empty(empty_set) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(8,plain,
( member(sK3(X0),X0)
| empty(X0) ),
inference(cnf,[status(esa)],[empty_defn]) ).
cnf(l4,plain,
( member(sK3(empty_set),empty_set)
| empty(empty_set) ),
inference(instantiation,[status(thm)],[8]) ).
fof(empty_set_defn,plain,
! [B] : ~ member(B,empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_set_defn) ).
cnf(0,plain,
~ member(X0,empty_set),
inference(cnf,[status(esa)],[empty_set_defn]) ).
cnf(l5,plain,
~ member(sK3(empty_set),empty_set),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET627+3 : TPTP v9.0.0. Released v2.2.0.
% 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n028.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 22:09:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 9
% 0.12/0.33 % launching worker at depth: 10
% 0.12/0.33 % SZS status Theorem for theBenchmark
% 0.12/0.33 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------