%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYO629-1 : TPTP v9.0.0. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/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 09:59:06 PM UTC 2025
% Result : Unsatisfiable 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named clause_0_02)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
iLEQ(X0,X0),
inference(cnf,[status(esa)],[clause_0_02]) ).
cnf(l0,plain,
iLEQ(g(g(X0_14)),g(g(X0_14))),
inference(instantiation,[status(thm)],[1]) ).
cnf(5,plain,
( ~ iLEQ(X0,X1)
| ~ 'LE'(f(X0),s('0'))
| 'LE'(f(X1),'0')
| 'E'('0',f(X1)) ),
inference(cnf,[status(esa)],[clause_10_06]) ).
cnf(l1,plain,
( ~ iLEQ(g(g(X0_14)),g(g(X0_14)))
| ~ 'LE'(f(g(g(X0_14))),s('0'))
| 'LE'(f(g(g(X0_14))),'0')
| 'E'('0',f(g(g(X0_14)))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(4,plain,
~ 'LE'(f(X0),'0'),
inference(cnf,[status(esa)],[clause_7_05]) ).
cnf(l2,plain,
~ 'LE'(f(g(g(X0_14))),'0'),
inference(instantiation,[status(thm)],[4]) ).
cnf(2,plain,
( ~ 'E'('0',f(X0))
| ~ 'E'('0',f(g(X0)))
| 'E'(f(X0),f(g(X0))) ),
inference(cnf,[status(esa)],[clause_11_03]) ).
cnf(l3,plain,
( ~ 'E'('0',f(g(g(X0_14))))
| ~ 'E'('0',f(g(g(g(X0_14)))))
| 'E'(f(g(g(X0_14))),f(g(g(g(X0_14))))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(3,plain,
( 'LE'(f(X0),s('0'))
| 'E'(s('0'),f(X0)) ),
inference(cnf,[status(esa)],[clause_6_04]) ).
cnf(l4,plain,
( 'LE'(f(g(g(X0_14))),s('0'))
| 'E'(s('0'),f(g(g(X0_14)))) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(0,plain,
~ 'E'(f(X0),f(g(X0))),
inference(cnf,[status(esa)],[clause_8_01]) ).
cnf(l5,plain,
~ 'E'(f(g(g(X0_14))),f(g(g(g(X0_14))))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l6,plain,
( ~ iLEQ(g(g(X0_14)),g(g(g(X0_14))))
| ~ 'LE'(f(g(g(X0_14))),s('0'))
| 'LE'(f(g(g(g(X0_14)))),'0')
| 'E'('0',f(g(g(g(X0_14))))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(9,plain,
iLEQ(X0,g(X0)),
inference(cnf,[status(esa)],[clause_5_10]) ).
cnf(l7,plain,
iLEQ(g(g(X0_14)),g(g(g(X0_14)))),
inference(instantiation,[status(thm)],[9]) ).
cnf(6,plain,
( ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(g(X0)))
| 'E'(f(X0),f(g(X0))) ),
inference(cnf,[status(esa)],[clause_1_07]) ).
cnf(l8,plain,
( ~ 'E'(s('0'),f(g(X0_14)))
| ~ 'E'(s('0'),f(g(g(X0_14))))
| 'E'(f(g(X0_14)),f(g(g(X0_14)))) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(7,plain,
~ 'LE'(f(g(X0)),'0'),
inference(cnf,[status(esa)],[clause_2_08]) ).
cnf(l9,plain,
~ 'LE'(f(g(g(g(X0_14)))),'0'),
inference(instantiation,[status(thm)],[7]) ).
cnf(l10,plain,
( 'LE'(f(g(X0_14)),s('0'))
| 'E'(s('0'),f(g(X0_14))) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l11,plain,
~ 'E'(f(g(X0_14)),f(g(g(X0_14)))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l12,plain,
( ~ iLEQ(g(X0_14),g(X0_14))
| ~ 'LE'(f(g(X0_14)),s('0'))
| 'LE'(f(g(X0_14)),'0')
| 'E'('0',f(g(X0_14))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l13,plain,
( 'LE'(f(g(g(X0_14))),s('0'))
| 'E'(s('0'),f(g(g(X0_14)))) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l14,plain,
~ 'LE'(f(g(X0_14)),'0'),
inference(instantiation,[status(thm)],[7]) ).
cnf(l15,plain,
( ~ 'E'('0',f(g(X0_14)))
| ~ 'E'('0',f(g(g(X0_14))))
| 'E'(f(g(X0_14)),f(g(g(X0_14)))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l16,plain,
( ~ 'E'(s('0'),f(g(g(X0_14))))
| ~ 'E'(s('0'),f(g(g(g(X0_14)))))
| 'E'(f(g(g(X0_14))),f(g(g(g(X0_14))))) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l17,plain,
( ~ iLEQ(g(X0_14),g(g(X0_14)))
| ~ 'LE'(f(g(X0_14)),s('0'))
| 'LE'(f(g(g(X0_14))),'0')
| 'E'('0',f(g(g(X0_14)))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l18,plain,
~ 'E'(f(g(X0_14)),f(g(g(X0_14)))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l19,plain,
~ 'E'(f(g(g(X0_14))),f(g(g(g(X0_14))))),
inference(instantiation,[status(thm)],[0]) ).
cnf(8,plain,
iLEQ(X0,g(X0)),
inference(cnf,[status(esa)],[clause_3_09]) ).
cnf(l20,plain,
iLEQ(g(X0_14),g(g(X0_14))),
inference(instantiation,[status(thm)],[8]) ).
cnf(l21,plain,
iLEQ(g(X0_14),g(X0_14)),
inference(instantiation,[status(thm)],[1]) ).
% launching worker at depth: 12cnf(l22, plain, ~'LE'(f(g(g(X0_14))),'0'), inference(instantiation, [status(thm)], [4])).
cnf(l23,plain,
( 'LE'(f(g(g(g(X0_14)))),s('0'))
| 'E'(s('0'),f(g(g(g(X0_14))))) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l24,plain,
( ~ iLEQ(g(g(g(X0_14))),g(g(g(X0_14))))
| ~ 'LE'(f(g(g(g(X0_14)))),s('0'))
| 'LE'(f(g(g(g(X0_14)))),'0')
| 'E'('0',f(g(g(g(X0_14))))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l25,plain,
~ 'LE'(f(g(g(g(X0_14)))),'0'),
inference(instantiation,[status(thm)],[7]) ).
cnf(l26,plain,
iLEQ(g(g(g(X0_14))),g(g(g(X0_14)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5,l6,l7,l8,l9,l10,l11,l12,l13,l14,l15,l16,l17,l18,l19,l20,l21,l22,l23,l24,l25,l26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYO629-1 : TPTP v9.0.0. Released v7.1.0.
% 0.06/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n029.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 : Tue Jul 22 20:01:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.34 % launching worker at depth: 11
% 0.12/0.34 % SZS status Theorem for theBenchmark
% 0.12/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------