%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET947+1 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n025.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 03:33:02 PM UTC 2025
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 5 unt; 0 def)
% Number of atoms : 31 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 11 ~; 10 |; 0 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t100_zfmisc_1,plain,
! [A] : subset(A,powerset(union(A))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t100_zfmisc_1) ).
fof(t100_zfmisc_1_negated,plain,
~ ! [A] : subset(A,powerset(union(A))),
inference(negate_conjecture,[status(cth)],[t100_zfmisc_1]) ).
cnf(14,plain,
~ subset(sK5,powerset(union(sK5))),
inference(cnf,[status(esa)],[t100_zfmisc_1_negated]) ).
cnf(l0,plain,
~ subset(sK5,powerset(union(sK5))),
inference(instantiation,[status(thm)],[14]) ).
fof(d3_tarski,plain,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( in(C,A)
=> in(C,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
cnf(9,plain,
( ~ in(sK2(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
cnf(l1,plain,
( ~ in(sK2(sK5,powerset(union(sK5))),powerset(union(sK5)))
| subset(sK5,powerset(union(sK5))) ),
inference(instantiation,[status(thm)],[9]) ).
fof(d1_zfmisc_1,plain,
! [A,B] :
( B = powerset(A)
<=> ! [C] :
( in(C,B)
<=> subset(C,A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_zfmisc_1) ).
cnf(2,plain,
( X0 != powerset(X1)
| ~ subset(X2,X1)
| in(X2,X0) ),
inference(cnf,[status(esa)],[d1_zfmisc_1]) ).
cnf(l2,plain,
( powerset(union(sK5)) != powerset(union(sK5))
| ~ subset(sK2(sK5,powerset(union(sK5))),union(sK5))
| in(sK2(sK5,powerset(union(sK5))),powerset(union(sK5))) ),
inference(instantiation,[status(thm)],[2]) ).
fof(l50_zfmisc_1,plain,
! [A,B] :
( in(A,B)
=> subset(A,union(B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l50_zfmisc_1) ).
cnf(10,plain,
( ~ in(X0,X1)
| subset(X0,union(X1)) ),
inference(cnf,[status(esa)],[l50_zfmisc_1]) ).
cnf(l4,plain,
( ~ in(sK2(sK5,powerset(union(sK5))),sK5)
| subset(sK2(sK5,powerset(union(sK5))),union(sK5)) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(8,plain,
( in(sK2(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
cnf(l6,plain,
( in(sK2(sK5,powerset(union(sK5))),sK5)
| subset(sK5,powerset(union(sK5))) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l4,l6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET947+1 : TPTP v9.0.0. Released v3.2.0.
% 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n025.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 23:03:49 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 3
% 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: 4
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.34 % launching worker at depth: 10
% 0.13/0.35 % launching worker at depth: 11
% 0.13/0.36 % SZS status Theorem for theBenchmark
% 0.13/0.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------