%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET933+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 : 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 03:33:01 PM UTC 2025
% Result : Theorem 0.20s 0.36s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 8 unt; 0 def)
% Number of atoms : 23 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 9 ~; 6 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 15 ( 1 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t80_zfmisc_1,plain,
! [A] : subset(singleton(A),powerset(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t80_zfmisc_1) ).
fof(t80_zfmisc_1_negated,plain,
~ ! [A] : subset(singleton(A),powerset(A)),
inference(negate_conjecture,[status(cth)],[t80_zfmisc_1]) ).
cnf(12,plain,
~ subset(singleton(sK4),powerset(sK4)),
inference(cnf,[status(esa)],[t80_zfmisc_1_negated]) ).
cnf(l0,plain,
~ subset(singleton(sK4),powerset(sK4)),
inference(instantiation,[status(thm)],[12]) ).
fof(l2_zfmisc_1,plain,
! [A,B] :
( subset(singleton(A),B)
<=> in(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_zfmisc_1) ).
cnf(8,plain,
( ~ in(X0,X1)
| subset(singleton(X0),X1) ),
inference(cnf,[status(esa)],[l2_zfmisc_1]) ).
cnf(l1,plain,
( ~ in(sK4,powerset(sK4))
| subset(singleton(sK4),powerset(sK4)) ),
inference(instantiation,[status(thm)],[8]) ).
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(sK4) != powerset(sK4)
| ~ subset(sK4,sK4)
| in(sK4,powerset(sK4)) ),
inference(instantiation,[status(thm)],[2]) ).
fof(reflexivity_r1_tarski,plain,
! [A,B] : subset(A,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
cnf(11,plain,
subset(X0,X0),
inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).
cnf(l7,plain,
subset(sK4,sK4),
inference(instantiation,[status(thm)],[11]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET933+1 : TPTP v9.0.0. Released v3.2.0.
% 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Jul 21 23:03:04 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.20/0.36 % launching worker at depth: 1
% 0.20/0.36 % launching worker at depth: 4
% 0.20/0.36 % launching worker at depth: 3
% 0.20/0.36 % launching worker at depth: 6
% 0.20/0.36 % launching worker at depth: 2
% 0.20/0.36 % launching worker at depth: 5
% 0.20/0.36 % launching worker at depth: 7
% 0.20/0.36 % launching worker at depth: 8
% 0.20/0.36 % launching worker at depth: 9
% 0.20/0.36 % launching worker at depth: 10
% 0.20/0.36 % SZS status Theorem for theBenchmark
% 0.20/0.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------