%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU169+1 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 03:44:43 PM UTC 2025
% Result : Theorem 0.15s 0.34s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 8 unt; 0 def)
% Number of atoms : 56 ( 3 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 55 ( 23 ~; 18 |; 2 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 28 ( 1 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l3_subset_1,plain,
! [A,B] :
( element(B,powerset(A))
=> ! [C] :
( in(C,B)
=> in(C,A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3_subset_1) ).
fof(l3_subset_1_negated,plain,
~ ! [A,B] :
( element(B,powerset(A))
=> ! [C] :
( in(C,B)
=> in(C,A) ) ),
inference(negate_conjecture,[status(cth)],[l3_subset_1]) ).
cnf(17,plain,
element(sK5,powerset(sK4)),
inference(cnf,[status(esa)],[l3_subset_1_negated]) ).
cnf(l0,plain,
element(sK5,powerset(sK4)),
inference(instantiation,[status(thm)],[17]) ).
fof(d2_subset_1,plain,
! [A,B] :
( ( ~ empty(A)
=> ( element(B,A)
<=> in(B,A) ) )
& ( empty(A)
=> ( element(B,A)
<=> empty(B) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_subset_1) ).
cnf(7,plain,
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(cnf,[status(esa)],[d2_subset_1]) ).
cnf(l1,plain,
( ~ element(sK5,powerset(sK4))
| in(sK5,powerset(sK4))
| empty(powerset(sK4)) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(9,plain,
( ~ empty(X0)
| ~ element(X1,X0)
| empty(X1) ),
inference(cnf,[status(esa)],[d2_subset_1]) ).
cnf(l3,plain,
( ~ empty(powerset(sK4))
| ~ element(sK5,powerset(sK4))
| empty(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/sandbox2/benchmark/theBenchmark.p',d1_zfmisc_1) ).
cnf(1,plain,
( ~ in(X0,X1)
| X1 != powerset(X2)
| subset(X0,X2) ),
inference(cnf,[status(esa)],[d1_zfmisc_1]) ).
cnf(l28,plain,
( ~ in(sK5,powerset(sK4))
| powerset(sK4) != powerset(sK4)
| subset(sK5,sK4) ),
inference(instantiation,[status(thm)],[1]) ).
fof(t7_boole,plain,
! [A,B] :
~ ( in(A,B)
& empty(B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
cnf(26,plain,
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf,[status(esa)],[t7_boole]) ).
cnf(l14,plain,
( ~ in(sK6,sK5)
| ~ empty(sK5) ),
inference(instantiation,[status(thm)],[26]) ).
fof(d3_tarski,plain,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( in(C,A)
=> in(C,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
cnf(11,plain,
( ~ in(X0,X1)
| ~ subset(X1,X2)
| in(X0,X2) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
cnf(l33,plain,
( ~ in(sK6,sK5)
| ~ subset(sK5,sK4)
| in(sK6,sK4) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(18,plain,
in(sK6,sK5),
inference(cnf,[status(esa)],[l3_subset_1_negated]) ).
cnf(l34,plain,
in(sK6,sK5),
inference(instantiation,[status(thm)],[18]) ).
cnf(l20,plain,
in(sK6,sK5),
inference(instantiation,[status(thm)],[18]) ).
cnf(19,plain,
~ in(sK6,sK4),
inference(cnf,[status(esa)],[l3_subset_1_negated]) ).
cnf(l35,plain,
~ in(sK6,sK4),
inference(instantiation,[status(thm)],[19]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l28,l14,l33,l34,l20,l35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SEU169+1 : TPTP v9.0.0. Released v3.3.0.
% 0.00/0.10 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.30 % Computer : n026.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Jul 21 23:43:04 EDT 2025
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % launching worker at depth: 1
% 0.09/0.30 % launching worker at depth: 4
% 0.09/0.30 % launching worker at depth: 5
% 0.09/0.30 % launching worker at depth: 6
% 0.09/0.30 % launching worker at depth: 3
% 0.09/0.30 % launching worker at depth: 2
% 0.09/0.30 % launching worker at depth: 7
% 0.09/0.30 % launching worker at depth: 8
% 0.09/0.30 % launching worker at depth: 9
% 0.15/0.31 % launching worker at depth: 10
% 0.15/0.32 % launching worker at depth: 11
% 0.15/0.34 % SZS status Theorem for theBenchmark
% 0.15/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------