%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU149+3 : 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 : n029.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 03:44:38 PM UTC 2025
% Result : Theorem 55.31s 7.26s
% Output : CNFRefutation 55.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 28 ( 21 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 26 ( 11 ~; 9 |; 0 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 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 : 20 ( 1 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t8_zfmisc_1,plain,
! [A,B,C] :
( singleton(A) = unordered_pair(B,C)
=> A = B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_zfmisc_1) ).
fof(t8_zfmisc_1_negated,plain,
~ ! [A,B,C] :
( singleton(A) = unordered_pair(B,C)
=> A = B ),
inference(negate_conjecture,[status(cth)],[t8_zfmisc_1]) ).
cnf(18,plain,
singleton(sK5) = unordered_pair(sK6,sK7),
inference(cnf,[status(esa)],[t8_zfmisc_1_negated]) ).
cnf(l0,plain,
singleton(sK5) = unordered_pair(sK6,sK7),
inference(instantiation,[status(thm)],[18]) ).
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)
| ~ in(X2,X0)
| X2 = X1 ),
inference(cnf,[status(esa)],[d1_tarski]) ).
cnf(l65,plain,
( unordered_pair(sK6,sK7) != singleton(sK5)
| ~ in(sK6,unordered_pair(sK6,sK7))
| sK6 = sK5 ),
inference(instantiation,[status(thm)],[2]) ).
fof(d2_tarski,plain,
! [A,B,C] :
( C = unordered_pair(A,B)
<=> ! [D] :
( in(D,C)
<=> ( D = A
| D = B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_tarski) ).
cnf(9,plain,
( X0 != unordered_pair(X1,X2)
| X3 != X1
| in(X3,X0) ),
inference(cnf,[status(esa)],[d2_tarski]) ).
cnf(l70,plain,
( unordered_pair(sK6,sK7) != unordered_pair(sK6,sK7)
| sK6 != sK6
| in(sK6,unordered_pair(sK6,sK7)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(19,plain,
sK5 != sK6,
inference(cnf,[status(esa)],[t8_zfmisc_1_negated]) ).
cnf(l77,plain,
sK5 != sK6,
inference(instantiation,[status(thm)],[19]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l65,l70,l77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.08 % Problem : SEU149+3 : TPTP v9.0.0. Released v3.2.0.
% 0.08/0.09 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.29 % Computer : n029.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Mon Jul 21 23:37:04 EDT 2025
% 0.08/0.29 % CPUTime :
% 0.08/0.29 % launching worker at depth: 3
% 0.08/0.29 % launching worker at depth: 5
% 0.08/0.29 % launching worker at depth: 4
% 0.08/0.29 % launching worker at depth: 1
% 0.08/0.29 % launching worker at depth: 6
% 0.08/0.29 % launching worker at depth: 8
% 0.08/0.29 % launching worker at depth: 7
% 0.08/0.29 % launching worker at depth: 2
% 0.08/0.30 % launching worker at depth: 9
% 0.14/0.31 % launching worker at depth: 10
% 7.51/1.24 % launching worker at depth: 11
% 55.31/7.26 % SZS status Theorem for theBenchmark
% 55.31/7.26 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------