%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET921+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 : n017.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 03:32:59 PM UTC 2025
% Result : Theorem 2.32s 0.65s
% Output : CNFRefutation 2.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 1 unt; 0 def)
% Number of atoms : 64 ( 24 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 74 ( 33 ~; 32 |; 3 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 31 ( 2 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t64_zfmisc_1,plain,
! [A,B,C] :
( in(A,set_difference(B,singleton(C)))
<=> ( in(A,B)
& A != C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_zfmisc_1) ).
fof(t64_zfmisc_1_negated,plain,
~ ! [A,B,C] :
( in(A,set_difference(B,singleton(C)))
<=> ( in(A,B)
& A != C ) ),
inference(negate_conjecture,[status(cth)],[t64_zfmisc_1]) ).
cnf(19,plain,
( ~ in(sK5,set_difference(sK6,singleton(sK7)))
| ~ in(sK5,sK6)
| sK5 = sK7 ),
inference(cnf,[status(esa)],[t64_zfmisc_1_negated]) ).
cnf(l0,plain,
( ~ in(sK5,set_difference(sK6,singleton(sK7)))
| ~ in(sK5,sK6)
| sK5 = sK7 ),
inference(instantiation,[status(thm)],[19]) ).
cnf(17,plain,
( in(sK5,set_difference(sK6,singleton(sK7)))
| in(sK5,sK6) ),
inference(cnf,[status(esa)],[t64_zfmisc_1_negated]) ).
cnf(l4,plain,
( in(sK5,set_difference(sK6,singleton(sK7)))
| in(sK5,sK6) ),
inference(instantiation,[status(thm)],[17]) ).
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/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).
cnf(9,plain,
( ~ in(X0,X1)
| X2 != set_difference(X1,X3)
| in(X0,X3)
| in(X0,X2) ),
inference(cnf,[status(esa)],[d4_xboole_0]) ).
cnf(l1,plain,
( ~ in(sK5,sK6)
| set_difference(sK6,singleton(sK7)) != set_difference(sK6,singleton(sK7))
| in(sK5,singleton(sK7))
| in(sK5,set_difference(sK6,singleton(sK7))) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(7,plain,
( ~ in(X0,X1)
| X1 != set_difference(X2,X3)
| in(X0,X2) ),
inference(cnf,[status(esa)],[d4_xboole_0]) ).
cnf(l6,plain,
( ~ in(sK5,set_difference(sK6,singleton(sK7)))
| set_difference(sK6,singleton(sK7)) != set_difference(sK6,singleton(sK7))
| in(sK5,sK6) ),
inference(instantiation,[status(thm)],[7]) ).
fof(d1_tarski,plain,
! [A,B] :
( B = singleton(A)
<=> ! [C] :
( in(C,B)
<=> C = A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
cnf(1,plain,
( ~ in(X0,X1)
| X1 != singleton(X2)
| X0 = X2 ),
inference(cnf,[status(esa)],[d1_tarski]) ).
cnf(l2,plain,
( ~ in(sK5,singleton(sK7))
| singleton(sK7) != singleton(sK7)
| sK5 = sK7 ),
inference(instantiation,[status(thm)],[1]) ).
cnf(18,plain,
( sK5 != sK7
| in(sK5,set_difference(sK6,singleton(sK7))) ),
inference(cnf,[status(esa)],[t64_zfmisc_1_negated]) ).
cnf(l8,plain,
( sK5 != sK7
| in(sK5,set_difference(sK6,singleton(sK7))) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l36,plain,
( in(sK5,set_difference(sK6,singleton(sK7)))
| in(sK5,sK6) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(2,plain,
( X0 != singleton(X1)
| X2 != X1
| in(X2,X0) ),
inference(cnf,[status(esa)],[d1_tarski]) ).
cnf(l62,plain,
( singleton(sK7) != singleton(sK7)
| sK5 != sK7
| in(sK5,singleton(sK7)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(8,plain,
( ~ in(X0,X1)
| ~ in(X0,X2)
| X2 != set_difference(X3,X1) ),
inference(cnf,[status(esa)],[d4_xboole_0]) ).
cnf(l63,plain,
( ~ in(sK5,singleton(sK7))
| ~ in(sK5,set_difference(sK6,singleton(sK7)))
| set_difference(sK6,singleton(sK7)) != set_difference(sK6,singleton(sK7)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l66,plain,
( sK5 != sK7
| in(sK5,set_difference(sK6,singleton(sK7))) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l4,l1,l6,l2,l8,l36,l62,l63,l66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET921+1 : TPTP v9.0.0. Released v3.2.0.
% 0.06/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jul 21 23:02:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.37 % launching worker at depth: 10
% 2.32/0.65 % SZS status Theorem for theBenchmark
% 2.32/0.65 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------