%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET912+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 03:32:58 PM UTC 2025
% Result : Theorem 0.10s 0.27s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 7 unt; 0 def)
% Number of atoms : 28 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 9 ~; 6 |; 3 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t53_zfmisc_1,plain,
! [A,B,C] :
( ( in(A,B)
& in(C,B) )
=> set_intersection2(unordered_pair(A,C),B) = unordered_pair(A,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t53_zfmisc_1) ).
fof(t53_zfmisc_1_negated,plain,
~ ! [A,B,C] :
( ( in(A,B)
& in(C,B) )
=> set_intersection2(unordered_pair(A,C),B) = unordered_pair(A,C) ),
inference(negate_conjecture,[status(cth)],[t53_zfmisc_1]) ).
cnf(11,plain,
in(sK3,sK4),
inference(cnf,[status(esa)],[t53_zfmisc_1_negated]) ).
cnf(l0,plain,
in(sK3,sK4),
inference(instantiation,[status(thm)],[11]) ).
fof(t38_zfmisc_1,plain,
! [A,B,C] :
( subset(unordered_pair(A,B),C)
<=> ( in(A,C)
& in(B,C) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t38_zfmisc_1) ).
cnf(10,plain,
( ~ in(X0,X1)
| ~ in(X2,X1)
| subset(unordered_pair(X0,X2),X1) ),
inference(cnf,[status(esa)],[t38_zfmisc_1]) ).
cnf(l1,plain,
( ~ in(sK3,sK4)
| ~ in(sK5,sK4)
| subset(unordered_pair(sK3,sK5),sK4) ),
inference(instantiation,[status(thm)],[10]) ).
fof(t28_xboole_1,plain,
! [A,B] :
( subset(A,B)
=> set_intersection2(A,B) = A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_xboole_1) ).
cnf(7,plain,
( ~ subset(X0,X1)
| set_intersection2(X0,X1) = X0 ),
inference(cnf,[status(esa)],[t28_xboole_1]) ).
cnf(l6,plain,
( ~ subset(unordered_pair(sK3,sK5),sK4)
| set_intersection2(unordered_pair(sK3,sK5),sK4) = unordered_pair(sK3,sK5) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(12,plain,
in(sK5,sK4),
inference(cnf,[status(esa)],[t53_zfmisc_1_negated]) ).
cnf(l10,plain,
in(sK5,sK4),
inference(instantiation,[status(thm)],[12]) ).
cnf(13,plain,
set_intersection2(unordered_pair(sK3,sK5),sK4) != unordered_pair(sK3,sK5),
inference(cnf,[status(esa)],[t53_zfmisc_1_negated]) ).
cnf(l7,plain,
set_intersection2(unordered_pair(sK3,sK5),sK4) != unordered_pair(sK3,sK5),
inference(instantiation,[status(thm)],[13]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l6,l10,l7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.07 % Problem : SET912+1 : TPTP v9.0.0. Released v3.2.0.
% 0.01/0.07 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.26 % Computer : n020.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Mon Jul 21 23:01:04 EDT 2025
% 0.06/0.26 % CPUTime :
% 0.06/0.26 % launching worker at depth: 1
% 0.06/0.26 % launching worker at depth: 5
% 0.06/0.26 % launching worker at depth: 3
% 0.06/0.26 % launching worker at depth: 6
% 0.06/0.26 % launching worker at depth: 7
% 0.06/0.26 % launching worker at depth: 2
% 0.06/0.26 % launching worker at depth: 4
% 0.06/0.26 % launching worker at depth: 8
% 0.06/0.26 % launching worker at depth: 9
% 0.06/0.26 % launching worker at depth: 10
% 0.10/0.27 % SZS status Theorem for theBenchmark
% 0.10/0.27 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------