%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU171+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 : 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 03:44:44 PM UTC 2025
% Result : Theorem 9.00s 1.39s
% Output : CNFRefutation 9.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 11 unt; 0 def)
% Number of atoms : 57 ( 13 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 55 ( 23 ~; 14 |; 2 &)
% ( 4 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t50_subset_1,plain,
! [A] :
( A != empty_set
=> ! [B] :
( element(B,powerset(A))
=> ! [C] :
( element(C,A)
=> ( ~ in(C,B)
=> in(C,subset_complement(A,B)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t50_subset_1) ).
fof(t50_subset_1_negated,plain,
~ ! [A] :
( A != empty_set
=> ! [B] :
( element(B,powerset(A))
=> ! [C] :
( element(C,A)
=> ( ~ in(C,B)
=> in(C,subset_complement(A,B)) ) ) ) ),
inference(negate_conjecture,[status(cth)],[t50_subset_1]) ).
cnf(29,plain,
element(sK9,sK7),
inference(cnf,[status(esa)],[t50_subset_1_negated]) ).
cnf(l0,plain,
element(sK9,sK7),
inference(instantiation,[status(thm)],[29]) ).
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(1,plain,
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(cnf,[status(esa)],[d2_subset_1]) ).
cnf(l1,plain,
( ~ element(sK9,sK7)
| in(sK9,sK7)
| empty(sK7) ),
inference(instantiation,[status(thm)],[1]) ).
fof(t6_boole,plain,
! [A] :
( empty(A)
=> A = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
cnf(32,plain,
( ~ empty(X0)
| X0 = empty_set ),
inference(cnf,[status(esa)],[t6_boole]) ).
cnf(l28,plain,
( ~ empty(sK7)
| sK7 = empty_set ),
inference(instantiation,[status(thm)],[32]) ).
cnf(27,plain,
sK7 != empty_set,
inference(cnf,[status(esa)],[t50_subset_1_negated]) ).
cnf(l34,plain,
sK7 != empty_set,
inference(instantiation,[status(thm)],[27]) ).
fof(d4_xboole_0,plain,
! [A,B,C] :
( C = set_difference(A,B)
<=> ! [D] :
( in(D,C)
<=> ( in(D,A)
& ~ in(D,B) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).
cnf(7,plain,
( ~ in(X0,X1)
| X2 != set_difference(X1,X3)
| in(X0,X3)
| in(X0,X2) ),
inference(cnf,[status(esa)],[d4_xboole_0]) ).
cnf(l2,plain,
( ~ in(sK9,sK7)
| subset_complement(sK7,sK8) != set_difference(sK7,sK8)
| in(sK9,sK8)
| in(sK9,subset_complement(sK7,sK8)) ),
inference(instantiation,[status(thm)],[7]) ).
fof(d5_subset_1,plain,
! [A,B] :
( element(B,powerset(A))
=> subset_complement(A,B) = set_difference(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_subset_1) ).
cnf(13,plain,
( ~ element(X0,powerset(X1))
| subset_complement(X1,X0) = set_difference(X1,X0) ),
inference(cnf,[status(esa)],[d5_subset_1]) ).
cnf(l22,plain,
( ~ element(sK8,powerset(sK7))
| subset_complement(sK7,sK8) = set_difference(sK7,sK8) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(31,plain,
~ in(sK9,subset_complement(sK7,sK8)),
inference(cnf,[status(esa)],[t50_subset_1_negated]) ).
cnf(l44,plain,
~ in(sK9,subset_complement(sK7,sK8)),
inference(instantiation,[status(thm)],[31]) ).
cnf(28,plain,
element(sK8,powerset(sK7)),
inference(cnf,[status(esa)],[t50_subset_1_negated]) ).
cnf(l23,plain,
element(sK8,powerset(sK7)),
inference(instantiation,[status(thm)],[28]) ).
cnf(30,plain,
~ in(sK9,sK8),
inference(cnf,[status(esa)],[t50_subset_1_negated]) ).
cnf(l47,plain,
~ in(sK9,sK8),
inference(instantiation,[status(thm)],[30]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l28,l34,l2,l22,l44,l23,l47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : SEU171+1 : TPTP v9.0.0. Released v3.3.0.
% 0.06/0.07 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.25 % Computer : n025.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Mon Jul 21 23:43:19 EDT 2025
% 0.06/0.25 % CPUTime :
% 0.06/0.26 % launching worker at depth: 1
% 0.06/0.26 % launching worker at depth: 5
% 0.06/0.26 % launching worker at depth: 6
% 0.06/0.26 % launching worker at depth: 3
% 0.06/0.26 % launching worker at depth: 4
% 0.06/0.26 % launching worker at depth: 7
% 0.06/0.26 % launching worker at depth: 2
% 0.06/0.26 % launching worker at depth: 8
% 0.06/0.26 % launching worker at depth: 9
% 0.06/0.26 % launching worker at depth: 10
% 0.06/0.29 % launching worker at depth: 11
% 9.00/1.39 % SZS status Theorem for theBenchmark
% 9.00/1.39 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------