%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU145+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 03:44:36 PM UTC 2025
% Result : Theorem 96.28s 12.49s
% Output : CNFRefutation 96.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 7 unt; 0 def)
% Number of atoms : 53 ( 9 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 50 ( 20 ~; 21 |; 1 &)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 30 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l3_zfmisc_1,plain,
! [A,B,C] :
( subset(A,B)
=> ( in(C,A)
| subset(A,set_difference(B,singleton(C))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3_zfmisc_1) ).
fof(l3_zfmisc_1_negated,plain,
~ ! [A,B,C] :
( subset(A,B)
=> ( in(C,A)
| subset(A,set_difference(B,singleton(C))) ) ),
inference(negate_conjecture,[status(cth)],[l3_zfmisc_1]) ).
cnf(20,plain,
~ subset(sK4,set_difference(sK5,singleton(sK6))),
inference(cnf,[status(esa)],[l3_zfmisc_1_negated]) ).
cnf(l0,plain,
~ subset(sK4,set_difference(sK5,singleton(sK6))),
inference(instantiation,[status(thm)],[20]) ).
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(9,plain,
( ~ in(sK2(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
cnf(l1,plain,
( ~ in(sK2(sK4,set_difference(sK5,singleton(sK6))),set_difference(sK5,singleton(sK6)))
| subset(sK4,set_difference(sK5,singleton(sK6))) ),
inference(instantiation,[status(thm)],[9]) ).
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(12,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(sK2(sK4,set_difference(sK5,singleton(sK6))),sK5)
| set_difference(sK5,singleton(sK6)) != set_difference(sK5,singleton(sK6))
| in(sK2(sK4,set_difference(sK5,singleton(sK6))),singleton(sK6))
| in(sK2(sK4,set_difference(sK5,singleton(sK6))),set_difference(sK5,singleton(sK6))) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(7,plain,
( ~ in(X0,X1)
| ~ subset(X1,X2)
| in(X0,X2) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
cnf(l14,plain,
( ~ in(sK2(sK4,set_difference(sK5,singleton(sK6))),sK4)
| ~ subset(sK4,sK5)
| in(sK2(sK4,set_difference(sK5,singleton(sK6))),sK5) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(8,plain,
( in(sK2(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
cnf(l18,plain,
( in(sK2(sK4,set_difference(sK5,singleton(sK6))),sK4)
| subset(sK4,set_difference(sK5,singleton(sK6))) ),
inference(instantiation,[status(thm)],[8]) ).
fof(d1_tarski,plain,
! [A,B] :
( B = singleton(A)
<=> ! [C] :
( in(C,B)
<=> C = A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
cnf(1,plain,
( ~ in(X0,X1)
| X1 != singleton(X2)
| X0 = X2 ),
inference(cnf,[status(esa)],[d1_tarski]) ).
cnf(l121,plain,
( ~ in(sK2(sK4,set_difference(sK5,singleton(sK6))),singleton(sK6))
| singleton(sK6) != singleton(sK6)
| sK2(sK4,set_difference(sK5,singleton(sK6))) = sK6 ),
inference(instantiation,[status(thm)],[1]) ).
cnf(18,plain,
subset(sK4,sK5),
inference(cnf,[status(esa)],[l3_zfmisc_1_negated]) ).
cnf(l16,plain,
subset(sK4,sK5),
inference(instantiation,[status(thm)],[18]) ).
cnf(l268,plain,
( in(sK2(sK4,set_difference(sK5,singleton(sK6))),sK4)
| subset(sK4,set_difference(sK5,singleton(sK6))) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(19,plain,
~ in(sK6,sK4),
inference(cnf,[status(esa)],[l3_zfmisc_1_negated]) ).
cnf(l267,plain,
~ in(sK6,sK4),
inference(instantiation,[status(thm)],[19]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l14,l18,l121,l16,l268,l267]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU145+1 : TPTP v9.0.0. Released v3.3.0.
% 0.03/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Jul 21 23:35:49 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % launching worker at depth: 5
% 0.14/0.35 % launching worker at depth: 3
% 0.14/0.35 % launching worker at depth: 6
% 0.14/0.35 % launching worker at depth: 4
% 0.14/0.35 % launching worker at depth: 1
% 0.14/0.35 % launching worker at depth: 2
% 0.14/0.35 % launching worker at depth: 7
% 0.14/0.35 % launching worker at depth: 8
% 0.14/0.35 % launching worker at depth: 9
% 0.14/0.35 % launching worker at depth: 10
% 0.20/0.39 % launching worker at depth: 11
% 3.54/0.78 % launching worker at depth: 12
% 96.28/12.49 % SZS status Theorem for theBenchmark
% 96.28/12.49 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------