%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU144+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 : n023.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 9.91s 1.60s
% Output : CNFRefutation 9.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 1 unt; 0 def)
% Number of atoms : 49 ( 10 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 51 ( 23 ~; 22 |; 0 &)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 23 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l2_zfmisc_1,plain,
! [A,B] :
( subset(singleton(A),B)
<=> in(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2_zfmisc_1) ).
fof(l2_zfmisc_1_negated,plain,
~ ! [A,B] :
( subset(singleton(A),B)
<=> in(A,B) ),
inference(negate_conjecture,[status(cth)],[l2_zfmisc_1]) ).
cnf(10,plain,
( in(sK3,sK4)
| subset(singleton(sK3),sK4) ),
inference(cnf,[status(esa)],[l2_zfmisc_1_negated]) ).
cnf(l0,plain,
( in(sK3,sK4)
| subset(singleton(sK3),sK4) ),
inference(instantiation,[status(thm)],[10]) ).
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(7,plain,
( ~ in(X0,X1)
| ~ subset(X1,X2)
| in(X0,X2) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
cnf(l2,plain,
( ~ in(sK3,singleton(sK3))
| ~ subset(singleton(sK3),sK4)
| in(sK3,sK4) ),
inference(instantiation,[status(thm)],[7]) ).
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(2,plain,
( X0 != singleton(X1)
| X2 != X1
| in(X2,X0) ),
inference(cnf,[status(esa)],[d1_tarski]) ).
cnf(l3,plain,
( singleton(sK3) != singleton(sK3)
| sK3 != sK3
| in(sK3,singleton(sK3)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(11,plain,
( ~ in(sK3,sK4)
| ~ subset(singleton(sK3),sK4) ),
inference(cnf,[status(esa)],[l2_zfmisc_1_negated]) ).
cnf(l276,plain,
( ~ in(sK3,sK4)
| ~ subset(singleton(sK3),sK4) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(1,plain,
( ~ in(X0,X1)
| X1 != singleton(X2)
| X0 = X2 ),
inference(cnf,[status(esa)],[d1_tarski]) ).
cnf(l217,plain,
( ~ in(sK2(singleton(sK3),sK4),singleton(sK3))
| singleton(sK3) != singleton(sK3)
| sK2(singleton(sK3),sK4) = sK3 ),
inference(instantiation,[status(thm)],[1]) ).
cnf(8,plain,
( in(sK2(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
cnf(l222,plain,
( in(sK2(singleton(sK3),sK4),singleton(sK3))
| subset(singleton(sK3),sK4) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l228,plain,
( ~ in(sK3,sK4)
| ~ subset(singleton(sK3),sK4) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(9,plain,
( ~ in(sK2(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
cnf(l268,plain,
( ~ in(sK2(singleton(sK3),sK4),sK4)
| subset(singleton(sK3),sK4) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l384,plain,
( ~ in(sK3,sK4)
| ~ subset(singleton(sK3),sK4) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l3,l276,l217,l222,l228,l268,l384]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU144+1 : TPTP v9.0.0. Released v3.3.0.
% 0.03/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n023.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 23:35:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.36 % launching worker at depth: 10
% 0.19/0.37 % launching worker at depth: 11
% 1.81/0.57 % launching worker at depth: 12
% 9.91/1.60 % SZS status Theorem for theBenchmark
% 9.91/1.60 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------