%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU173+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 3.72s 0.87s
% Output : CNFRefutation 3.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 8 unt; 0 def)
% Number of atoms : 56 ( 4 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 53 ( 22 ~; 18 |; 1 &)
% ( 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; 2 con; 0-2 aty)
% Number of variables : 26 ( 1 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l71_subset_1,plain,
! [A,B] :
( ! [C] :
( in(C,A)
=> in(C,B) )
=> element(A,powerset(B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l71_subset_1) ).
fof(l71_subset_1_negated,plain,
~ ! [A,B] :
( ! [C] :
( in(C,A)
=> in(C,B) )
=> element(A,powerset(B)) ),
inference(negate_conjecture,[status(cth)],[l71_subset_1]) ).
cnf(17,plain,
( ~ in(X0,sK4)
| in(X0,sK5) ),
inference(cnf,[status(esa)],[l71_subset_1_negated]) ).
cnf(l0,plain,
( ~ in(sK2(sK4,sK5),sK4)
| in(sK2(sK4,sK5),sK5) ),
inference(instantiation,[status(thm)],[17]) ).
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(13,plain,
( ~ in(sK2(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
cnf(l2,plain,
( ~ in(sK2(sK4,sK5),sK5)
| subset(sK4,sK5) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(12,plain,
( in(sK2(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
cnf(l1,plain,
( in(sK2(sK4,sK5),sK4)
| subset(sK4,sK5) ),
inference(instantiation,[status(thm)],[12]) ).
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(2,plain,
( X0 != powerset(X1)
| ~ subset(X2,X1)
| in(X2,X0) ),
inference(cnf,[status(esa)],[d1_zfmisc_1]) ).
cnf(l4,plain,
( powerset(sK5) != powerset(sK5)
| ~ subset(sK4,sK5)
| in(sK4,powerset(sK5)) ),
inference(instantiation,[status(thm)],[2]) ).
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(8,plain,
( ~ in(X0,X1)
| empty(X1)
| element(X0,X1) ),
inference(cnf,[status(esa)],[d2_subset_1]) ).
cnf(l45,plain,
( ~ in(sK4,powerset(sK5))
| empty(powerset(sK5))
| element(sK4,powerset(sK5)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(18,plain,
~ element(sK4,powerset(sK5)),
inference(cnf,[status(esa)],[l71_subset_1_negated]) ).
cnf(l64,plain,
~ element(sK4,powerset(sK5)),
inference(instantiation,[status(thm)],[18]) ).
cnf(l10,plain,
( powerset(sK5) != powerset(sK5)
| ~ subset(sK4,sK5)
| in(sK4,powerset(sK5)) ),
inference(instantiation,[status(thm)],[2]) ).
fof(fc1_subset_1,plain,
! [A] : ~ empty(powerset(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
cnf(15,plain,
~ empty(powerset(X0)),
inference(cnf,[status(esa)],[fc1_subset_1]) ).
cnf(l47,plain,
~ empty(powerset(sK5)),
inference(instantiation,[status(thm)],[15]) ).
cnf(l20,plain,
( ~ in(sK4,powerset(sK5))
| empty(powerset(sK5))
| element(sK4,powerset(sK5)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l24,plain,
~ empty(powerset(sK5)),
inference(instantiation,[status(thm)],[15]) ).
cnf(l32,plain,
~ element(sK4,powerset(sK5)),
inference(instantiation,[status(thm)],[18]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l1,l4,l45,l64,l10,l47,l20,l24,l32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU173+1 : TPTP v9.0.0. Released v3.3.0.
% 0.07/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Jul 21 23:43:34 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 0.12/0.38 % launching worker at depth: 11
% 3.72/0.87 % SZS status Theorem for theBenchmark
% 3.72/0.87 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------