%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET927+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 : n020.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 03:33:00 PM UTC 2025
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 27 ( 1 unt; 0 def)
% Number of atoms : 77 ( 42 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 84 ( 34 ~; 44 |; 3 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 1 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t70_zfmisc_1,plain,
! [A,B,C] :
( set_difference(unordered_pair(A,B),C) = singleton(A)
<=> ( ~ in(A,C)
& ( in(B,C)
| A = B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t70_zfmisc_1) ).
fof(t70_zfmisc_1_negated,plain,
~ ! [A,B,C] :
( set_difference(unordered_pair(A,B),C) = singleton(A)
<=> ( ~ in(A,C)
& ( in(B,C)
| A = B ) ) ),
inference(negate_conjecture,[status(cth)],[t70_zfmisc_1]) ).
cnf(4,plain,
( ~ in(sK3,sK5)
| set_difference(unordered_pair(sK3,sK4),sK5) = singleton(sK3) ),
inference(cnf,[status(esa)],[t70_zfmisc_1_negated]) ).
cnf(l0,plain,
( ~ in(sK3,sK5)
| set_difference(unordered_pair(sK3,sK4),sK5) = singleton(sK3) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(6,plain,
( set_difference(unordered_pair(sK3,sK4),sK5) != singleton(sK3)
| ~ in(sK4,sK5)
| in(sK3,sK5) ),
inference(cnf,[status(esa)],[t70_zfmisc_1_negated]) ).
cnf(l1,plain,
( set_difference(unordered_pair(sK3,sK4),sK5) != singleton(sK3)
| ~ in(sK4,sK5)
| in(sK3,sK5) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(5,plain,
( set_difference(unordered_pair(sK3,sK4),sK5) = singleton(sK3)
| sK3 = sK4
| in(sK4,sK5) ),
inference(cnf,[status(esa)],[t70_zfmisc_1_negated]) ).
cnf(l3,plain,
( set_difference(unordered_pair(sK3,sK4),sK5) = singleton(sK3)
| sK3 = sK4
| in(sK4,sK5) ),
inference(instantiation,[status(thm)],[5]) ).
fof(l39_zfmisc_1,plain,
! [A,B,C] :
( set_difference(unordered_pair(A,B),C) = singleton(A)
<=> ( ~ in(A,C)
& ( in(B,C)
| A = B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l39_zfmisc_1) ).
cnf(10,plain,
( ~ in(X0,X1)
| set_difference(unordered_pair(X2,X0),X1) = singleton(X2)
| in(X2,X1) ),
inference(cnf,[status(esa)],[l39_zfmisc_1]) ).
cnf(l13,plain,
( ~ in(sK4,sK5)
| set_difference(unordered_pair(sK3,sK4),sK5) = singleton(sK3)
| in(sK3,sK5) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l6,plain,
( set_difference(unordered_pair(sK3,sK4),sK5) = singleton(sK3)
| sK3 = sK4
| in(sK4,sK5) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(7,plain,
( set_difference(unordered_pair(sK3,sK4),sK5) != singleton(sK3)
| sK3 != sK4
| in(sK3,sK5) ),
inference(cnf,[status(esa)],[t70_zfmisc_1_negated]) ).
cnf(l14,plain,
( set_difference(unordered_pair(sK3,sK4),sK5) != singleton(sK3)
| sK3 != sK4
| in(sK3,sK5) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(9,plain,
( set_difference(unordered_pair(X0,X1),X2) != singleton(X0)
| X0 = X1
| in(X1,X2) ),
inference(cnf,[status(esa)],[l39_zfmisc_1]) ).
cnf(l2,plain,
( set_difference(unordered_pair(sK3,sK4),sK5) != singleton(sK3)
| sK3 = sK4
| in(sK4,sK5) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l12,plain,
( set_difference(unordered_pair(sK3,sK4),sK5) != singleton(sK3)
| sK3 != sK4
| in(sK3,sK5) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(11,plain,
( X0 != X1
| set_difference(unordered_pair(X0,X1),X2) = singleton(X0)
| in(X0,X2) ),
inference(cnf,[status(esa)],[l39_zfmisc_1]) ).
cnf(l10,plain,
( sK3 != sK4
| set_difference(unordered_pair(sK3,sK4),sK5) = singleton(sK3)
| in(sK3,sK5) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l16,plain,
( sK3 != sK4
| set_difference(unordered_pair(sK3,sK4),sK5) = singleton(sK3)
| in(sK3,sK5) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l5,plain,
( set_difference(unordered_pair(sK3,sK4),sK5) != singleton(sK3)
| ~ in(sK4,sK5)
| in(sK3,sK5) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l15,plain,
( set_difference(unordered_pair(sK3,sK4),sK5) != singleton(sK3)
| sK3 != sK4
| in(sK3,sK5) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(8,plain,
( set_difference(unordered_pair(X0,X1),X2) != singleton(X0)
| ~ in(X0,X2) ),
inference(cnf,[status(esa)],[l39_zfmisc_1]) ).
cnf(l19,plain,
( set_difference(unordered_pair(sK3,sK4),sK5) != singleton(sK3)
| ~ in(sK3,sK5) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l17,plain,
( set_difference(unordered_pair(sK3,sK4),sK5) != singleton(sK3)
| sK3 = sK4
| in(sK4,sK5) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l18,plain,
( set_difference(unordered_pair(sK3,sK4),sK5) != singleton(sK3)
| ~ in(sK3,sK5) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l13,l6,l14,l2,l12,l10,l16,l5,l15,l19,l17,l18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET927+1 : TPTP v9.0.0. Released v3.2.0.
% 0.06/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Jul 21 23:02:49 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.35 % SZS status Theorem for theBenchmark
% 0.13/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------