%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET901+1 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n024.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 03:32:56 PM UTC 2025
% Result : Theorem 0.09s 0.31s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 28 ( 1 unt; 0 def)
% Number of atoms : 76 ( 48 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 98 ( 50 ~; 36 |; 9 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 24 ( 4 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t42_zfmisc_1,plain,
! [A,B,C] :
( subset(A,unordered_pair(B,C))
<=> ~ ( A != empty_set
& A != singleton(B)
& A != singleton(C)
& A != unordered_pair(B,C) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t42_zfmisc_1) ).
fof(t42_zfmisc_1_negated,plain,
~ ! [A,B,C] :
( subset(A,unordered_pair(B,C))
<=> ~ ( A != empty_set
& A != singleton(B)
& A != singleton(C)
& A != unordered_pair(B,C) ) ),
inference(negate_conjecture,[status(cth)],[t42_zfmisc_1]) ).
cnf(5,plain,
( sK3 = unordered_pair(sK4,sK5)
| sK3 = empty_set
| sK3 = singleton(sK4)
| sK3 = singleton(sK5)
| subset(sK3,unordered_pair(sK4,sK5)) ),
inference(cnf,[status(esa)],[t42_zfmisc_1_negated]) ).
cnf(l0,plain,
( sK3 = unordered_pair(sK4,sK5)
| sK3 = empty_set
| sK3 = singleton(sK4)
| sK3 = singleton(sK5)
| subset(sK3,unordered_pair(sK4,sK5)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(6,plain,
( sK3 != empty_set
| ~ subset(sK3,unordered_pair(sK4,sK5)) ),
inference(cnf,[status(esa)],[t42_zfmisc_1_negated]) ).
cnf(l1,plain,
( sK3 != empty_set
| ~ subset(sK3,unordered_pair(sK4,sK5)) ),
inference(instantiation,[status(thm)],[6]) ).
fof(l46_zfmisc_1,plain,
! [A,B,C] :
( subset(A,unordered_pair(B,C))
<=> ~ ( A != empty_set
& A != singleton(B)
& A != singleton(C)
& A != unordered_pair(B,C) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l46_zfmisc_1) ).
cnf(12,plain,
( X0 != singleton(X1)
| subset(X0,unordered_pair(X1,X2)) ),
inference(cnf,[status(esa)],[l46_zfmisc_1]) ).
cnf(l8,plain,
( sK3 != singleton(sK4)
| subset(sK3,unordered_pair(sK4,sK5)) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(8,plain,
( sK3 != singleton(sK5)
| ~ subset(sK3,unordered_pair(sK4,sK5)) ),
inference(cnf,[status(esa)],[t42_zfmisc_1_negated]) ).
cnf(l10,plain,
( sK3 != singleton(sK5)
| ~ subset(sK3,unordered_pair(sK4,sK5)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(11,plain,
( X0 != empty_set
| subset(X0,unordered_pair(X1,X2)) ),
inference(cnf,[status(esa)],[l46_zfmisc_1]) ).
cnf(l2,plain,
( sK3 != empty_set
| subset(sK3,unordered_pair(sK4,sK5)) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(9,plain,
( sK3 != unordered_pair(sK4,sK5)
| ~ subset(sK3,unordered_pair(sK4,sK5)) ),
inference(cnf,[status(esa)],[t42_zfmisc_1_negated]) ).
cnf(l3,plain,
( sK3 != unordered_pair(sK4,sK5)
| ~ subset(sK3,unordered_pair(sK4,sK5)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(7,plain,
( sK3 != singleton(sK4)
| ~ subset(sK3,unordered_pair(sK4,sK5)) ),
inference(cnf,[status(esa)],[t42_zfmisc_1_negated]) ).
cnf(l15,plain,
( sK3 != singleton(sK4)
| ~ subset(sK3,unordered_pair(sK4,sK5)) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(14,plain,
( X0 != unordered_pair(X1,X2)
| subset(X0,unordered_pair(X1,X2)) ),
inference(cnf,[status(esa)],[l46_zfmisc_1]) ).
cnf(l5,plain,
( sK3 != unordered_pair(sK4,sK5)
| subset(sK3,unordered_pair(sK4,sK5)) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(10,plain,
( ~ subset(X0,unordered_pair(X1,X2))
| X0 = unordered_pair(X1,X2)
| X0 = empty_set
| X0 = singleton(X1)
| X0 = singleton(X2) ),
inference(cnf,[status(esa)],[l46_zfmisc_1]) ).
cnf(l6,plain,
( ~ subset(sK3,unordered_pair(sK4,sK5))
| sK3 = unordered_pair(sK4,sK5)
| sK3 = empty_set
| sK3 = singleton(sK4)
| sK3 = singleton(sK5) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l13,plain,
( sK3 != singleton(sK4)
| ~ subset(sK3,unordered_pair(sK4,sK5)) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l16,plain,
( sK3 != unordered_pair(sK4,sK5)
| ~ subset(sK3,unordered_pair(sK4,sK5)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l12,plain,
( sK3 != singleton(sK5)
| ~ subset(sK3,unordered_pair(sK4,sK5)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(13,plain,
( X0 != singleton(X1)
| subset(X0,unordered_pair(X2,X1)) ),
inference(cnf,[status(esa)],[l46_zfmisc_1]) ).
cnf(l11,plain,
( sK3 != singleton(sK5)
| subset(sK3,unordered_pair(sK4,sK5)) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l14,plain,
( sK3 != empty_set
| ~ subset(sK3,unordered_pair(sK4,sK5)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l8,l10,l2,l3,l15,l5,l6,l13,l16,l12,l11,l14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SET901+1 : TPTP v9.0.0. Released v3.2.0.
% 0.02/0.10 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.30 % Computer : n024.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 23:00:04 EDT 2025
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % launching worker at depth: 2
% 0.09/0.30 % launching worker at depth: 3
% 0.09/0.30 % launching worker at depth: 7
% 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: 1
% 0.09/0.30 % launching worker at depth: 8
% 0.09/0.31 % SZS status Theorem for theBenchmark
% 0.09/0.31 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------