%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU230+2 : 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 : n024.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 03:44:55 PM UTC 2025
% Result : Theorem 76.63s 9.98s
% Output : CNFRefutation 76.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 14 unt; 0 def)
% Number of atoms : 38 ( 11 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 29 ( 13 ~; 13 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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; 1 con; 0-2 aty)
% Number of variables : 28 ( 2 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t10_ordinal1,plain,
! [A] : in(A,succ(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_ordinal1) ).
fof(t10_ordinal1_negated,plain,
~ ! [A] : in(A,succ(A)),
inference(negate_conjecture,[status(cth)],[t10_ordinal1]) ).
cnf(344,plain,
~ in(sK98,succ(sK98)),
inference(cnf,[status(esa)],[t10_ordinal1_negated]) ).
cnf(l0,plain,
~ in(sK98,succ(sK98)),
inference(instantiation,[status(thm)],[344]) ).
fof(d2_xboole_0,plain,
! [A,B,C] :
( C = set_union2(A,B)
<=> ! [D] :
( in(D,C)
<=> ( in(D,A)
| in(D,B) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0) ).
cnf(125,plain,
( ~ in(X0,X1)
| X1 != set_union2(X2,X3)
| in(X0,X2)
| in(X0,X3) ),
inference(cnf,[status(esa)],[d2_xboole_0]) ).
cnf(l1,plain,
( ~ in(sK98,set_union2(singleton(sK98),succ(sK98)))
| set_union2(singleton(sK98),succ(sK98)) != set_union2(succ(sK98),singleton(sK98))
| in(sK98,succ(sK98))
| in(sK98,singleton(sK98)) ),
inference(instantiation,[status(thm)],[125]) ).
fof(l2_zfmisc_1,plain,
! [A,B] :
( subset(singleton(A),B)
<=> in(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2_zfmisc_1) ).
cnf(295,plain,
( ~ subset(singleton(X0),X1)
| in(X0,X1) ),
inference(cnf,[status(esa)],[l2_zfmisc_1]) ).
cnf(l2,plain,
( ~ subset(singleton(sK98),set_union2(singleton(sK98),succ(sK98)))
| in(sK98,set_union2(singleton(sK98),succ(sK98))) ),
inference(instantiation,[status(thm)],[295]) ).
fof(commutativity_k2_xboole_0,plain,
! [A,B] : set_union2(A,B) = set_union2(B,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
cnf(6,plain,
set_union2(X0,X1) = set_union2(X1,X0),
inference(cnf,[status(esa)],[commutativity_k2_xboole_0]) ).
cnf(l12,plain,
set_union2(succ(sK98),singleton(sK98)) = set_union2(singleton(sK98),succ(sK98)),
inference(instantiation,[status(thm)],[6]) ).
fof(t7_xboole_1,plain,
! [A,B] : subset(A,set_union2(A,B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_xboole_1) ).
cnf(499,plain,
subset(X0,set_union2(X0,X1)),
inference(cnf,[status(esa)],[t7_xboole_1]) ).
cnf(l3,plain,
subset(singleton(sK98),set_union2(singleton(sK98),succ(sK98))),
inference(instantiation,[status(thm)],[499]) ).
cnf(127,plain,
( ~ in(X0,X1)
| X2 != set_union2(X3,X1)
| in(X0,X2) ),
inference(cnf,[status(esa)],[d2_xboole_0]) ).
cnf(l24,plain,
( ~ in(sK98,singleton(sK98))
| succ(sK98) != set_union2(sK98,singleton(sK98))
| in(sK98,succ(sK98)) ),
inference(instantiation,[status(thm)],[127]) ).
fof(d1_ordinal1,plain,
! [A] : succ(A) = set_union2(A,singleton(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_ordinal1) ).
cnf(79,plain,
succ(X0) = set_union2(X0,singleton(X0)),
inference(cnf,[status(esa)],[d1_ordinal1]) ).
cnf(l27,plain,
succ(sK98) = set_union2(sK98,singleton(sK98)),
inference(instantiation,[status(thm)],[79]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l12,l3,l24,l27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU230+2 : 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
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Jul 22 00:08:04 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.19/0.35 % launching worker at depth: 4
% 0.19/0.35 % launching worker at depth: 1
% 0.19/0.35 % launching worker at depth: 6
% 0.19/0.35 % launching worker at depth: 3
% 0.19/0.35 % launching worker at depth: 5
% 0.19/0.35 % launching worker at depth: 2
% 0.19/0.35 % launching worker at depth: 7
% 0.19/0.35 % launching worker at depth: 8
% 0.19/0.35 % launching worker at depth: 9
% 0.19/0.50 % launching worker at depth: 10
% 76.63/9.98 % SZS status Theorem for theBenchmark
% 76.63/9.98 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------