%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU267+2 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n022.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 03:45:02 PM UTC 2025
% Result : Theorem 0.13s 0.48s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 1 unt; 0 def)
% Number of atoms : 33 ( 32 equ)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 39 ( 17 ~; 14 |; 2 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 28 ( 6 sgn 12 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t7_mcart_1,plain,
! [A,B] :
( pair_first(ordered_pair(A,B)) = A
& pair_second(ordered_pair(A,B)) = B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_mcart_1) ).
fof(t7_mcart_1_negated,plain,
~ ! [A,B] :
( pair_first(ordered_pair(A,B)) = A
& pair_second(ordered_pair(A,B)) = B ),
inference(negate_conjecture,[status(cth)],[t7_mcart_1]) ).
cnf(717,plain,
( pair_first(ordered_pair(sK159,sK160)) != sK159
| pair_second(ordered_pair(sK159,sK160)) != sK160 ),
inference(cnf,[status(esa)],[t7_mcart_1_negated]) ).
cnf(l0,plain,
( pair_first(ordered_pair(sK159,sK160)) != sK159
| pair_second(ordered_pair(sK159,sK160)) != sK160 ),
inference(instantiation,[status(thm)],[717]) ).
fof(d2_mcart_1,plain,
! [A] :
( ? [B,C] : A = ordered_pair(B,C)
=> ! [B] :
( B = pair_second(A)
<=> ! [C,D] :
( A = ordered_pair(C,D)
=> B = D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_mcart_1) ).
cnf(137,plain,
( X0 != ordered_pair(X1,X2)
| X0 != ordered_pair(X3,X4)
| X5 != pair_second(X0)
| X5 = X4 ),
inference(cnf,[status(esa)],[d2_mcart_1]) ).
cnf(l4,plain,
( ordered_pair(sK159,sK160) != ordered_pair(sK159,sK160)
| ordered_pair(sK159,sK160) != ordered_pair(sK159,sK160)
| pair_second(ordered_pair(sK159,sK160)) != pair_second(ordered_pair(sK159,sK160))
| pair_second(ordered_pair(sK159,sK160)) = sK160 ),
inference(instantiation,[status(thm)],[137]) ).
fof(d1_mcart_1,plain,
! [A] :
( ? [B,C] : A = ordered_pair(B,C)
=> ! [B] :
( B = pair_first(A)
<=> ! [C,D] :
( A = ordered_pair(C,D)
=> B = C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_mcart_1) ).
cnf(93,plain,
( X0 != ordered_pair(X1,X2)
| X0 != ordered_pair(X3,X4)
| X5 != pair_first(X0)
| X5 = X3 ),
inference(cnf,[status(esa)],[d1_mcart_1]) ).
cnf(l1,plain,
( ordered_pair(sK159,sK160) != ordered_pair(sK159,sK160)
| ordered_pair(sK159,sK160) != ordered_pair(sK159,sK160)
| pair_first(ordered_pair(sK159,sK160)) != pair_first(ordered_pair(sK159,sK160))
| pair_first(ordered_pair(sK159,sK160)) = sK159 ),
inference(instantiation,[status(thm)],[93]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l4,l1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SEU267+2 : TPTP v9.0.0. Released v3.3.0.
% 0.00/0.09 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.29 % Computer : n022.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Jul 22 00:24:04 EDT 2025
% 0.09/0.29 % CPUTime :
% 0.09/0.31 % launching worker at depth: 1
% 0.09/0.31 % launching worker at depth: 3
% 0.09/0.31 % launching worker at depth: 4
% 0.09/0.31 % launching worker at depth: 5
% 0.09/0.31 % launching worker at depth: 6
% 0.09/0.31 % launching worker at depth: 2
% 0.13/0.31 % launching worker at depth: 7
% 0.13/0.31 % launching worker at depth: 8
% 0.13/0.31 % launching worker at depth: 9
% 0.13/0.48 % SZS status Theorem for theBenchmark
% 0.13/0.48 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------