%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYO633-1 : 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 : 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 09:59:06 PM UTC 2025
% Result : Unsatisfiable 0.19s 0.34s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named clause_6_04)
% Comments :
%------------------------------------------------------------------------------
cnf(3,plain,
'E'(f(X0),s(s(s(s('0'))))),
inference(cnf,[status(esa)],[clause_6_04]) ).
cnf(l0,plain,
'E'(f(X0_31),s(s(s(s('0'))))),
inference(instantiation,[status(thm)],[3]) ).
cnf(6,plain,
( ~ 'E'(f(X0),s(s('0')))
| ~ 'E'(f(X1),s(s(s(s('0')))))
| ~ 'E'(f(X2),s(s(s('0'))))
| ~ 'E'(f(X3),s('0'))
| ~ 'E'(f(X4),s(s(s(s(s('0'))))))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X5)),'0') ),
inference(cnf,[status(esa)],[clause_2_07]) ).
cnf(l1,plain,
( ~ 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3_2)),s(s('0')))
| ~ 'E'(f(X0_31),s(s(s(s('0')))))
| ~ 'E'(f(X0_10),s(s(s('0'))))
| ~ 'E'(f('AP'(s(s(s(s(s(s('0')))))),X4_9)),s('0'))
| ~ 'E'(f(X0_6),s(s(s(s(s('0'))))))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X5_1)),'0') ),
inference(instantiation,[status(thm)],[6]) ).
cnf(11,plain,
( ~ 'E'(f(X0),s(s(s(s('0')))))
| ~ 'E'(f(X1),s(s(s(s(s('0'))))))
| ~ 'E'(f(X2),s(s(s('0'))))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),s(s('0'))) ),
inference(cnf,[status(esa)],[clause_4_12]) ).
cnf(l2,plain,
( ~ 'E'(f(X0_31),s(s(s(s('0')))))
| ~ 'E'(f(X0_15),s(s(s(s(s('0'))))))
| ~ 'E'(f(X0_7),s(s(s('0'))))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3_2)),s(s('0'))) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(2,plain,
( ~ 'E'(f(X0),s(s('0')))
| ~ 'E'(f(X1),s(s(s(s('0')))))
| ~ 'E'(f(X2),s(s(s('0'))))
| ~ 'E'(f(X3),s('0'))
| ~ 'E'(f(X4),'0')
| ~ 'E'(f(X5),s(s(s(s(s('0')))))) ),
inference(cnf,[status(esa)],[clause_5_03]) ).
cnf(l3,plain,
( ~ 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3_12)),s(s('0')))
| ~ 'E'(f(X0_31),s(s(s(s('0')))))
| ~ 'E'(f(X0_17),s(s(s('0'))))
| ~ 'E'(f('AP'(s(s(s(s(s(s('0')))))),X4_22)),s('0'))
| ~ 'E'(f('AP'(s(s(s(s(s(s('0')))))),X5_1)),'0')
| ~ 'E'(f(X0_5),s(s(s(s(s('0')))))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(9,plain,
( ~ 'E'(f(X0),s(s(s(s('0')))))
| ~ 'E'(f(X1),s(s(s(s(s('0'))))))
| 'E'(f(X1),s(s(s('0')))) ),
inference(cnf,[status(esa)],[clause_1_10]) ).
cnf(l4,plain,
( ~ 'E'(f(X0_31),s(s(s(s('0')))))
| ~ 'E'(f(X0_7),s(s(s(s(s('0'))))))
| 'E'(f(X0_7),s(s(s('0')))) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(4,plain,
'E'(f(X0),s(s(s(s(s('0')))))),
inference(cnf,[status(esa)],[clause_8_05]) ).
cnf(l5,plain,
'E'(f(X0_5),s(s(s(s(s('0')))))),
inference(instantiation,[status(thm)],[4]) ).
cnf(l6,plain,
'E'(f(X0_6),s(s(s(s(s('0')))))),
inference(instantiation,[status(thm)],[4]) ).
cnf(l7,plain,
'E'(f(X0_7),s(s(s(s(s('0')))))),
inference(instantiation,[status(thm)],[4]) ).
cnf(l8,plain,
( ~ 'E'(f(X0_31),s(s(s(s('0')))))
| ~ 'E'(f(X0_10),s(s(s(s(s('0'))))))
| 'E'(f(X0_10),s(s(s('0')))) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(8,plain,
( ~ 'E'(f(X0),s(s(s(s('0')))))
| ~ 'E'(f(X1),s(s(s(s(s('0'))))))
| ~ 'E'(f(X2),s(s(s('0'))))
| ~ 'E'(f(X3),s(s('0')))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X4)),s('0')) ),
inference(cnf,[status(esa)],[clause_12_09]) ).
cnf(l9,plain,
( ~ 'E'(f(X0_31),s(s(s(s('0')))))
| ~ 'E'(f(X0_18),s(s(s(s(s('0'))))))
| ~ 'E'(f(X0_21),s(s(s('0'))))
| ~ 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3_11)),s(s('0')))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X4_9)),s('0')) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l10,plain,
'E'(f(X0_10),s(s(s(s(s('0')))))),
inference(instantiation,[status(thm)],[4]) ).
cnf(l11,plain,
( ~ 'E'(f(X0_31),s(s(s(s('0')))))
| ~ 'E'(f(X0_20),s(s(s(s(s('0'))))))
| ~ 'E'(f(X0_25),s(s(s('0'))))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3_11)),s(s('0'))) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l12,plain,
( ~ 'E'(f(X0_31),s(s(s(s('0')))))
| ~ 'E'(f(X0_26),s(s(s(s(s('0'))))))
| ~ 'E'(f(X0_27),s(s(s('0'))))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3_12)),s(s('0'))) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l13,plain,
( ~ 'E'(f(X0_31),s(s(s(s('0')))))
| ~ 'E'(f(X0_17),s(s(s(s(s('0'))))))
| 'E'(f(X0_17),s(s(s('0')))) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l14,plain,
( ~ 'E'(f(X0_31),s(s(s(s('0')))))
| ~ 'E'(f(X0_27),s(s(s(s(s('0'))))))
| 'E'(f(X0_27),s(s(s('0')))) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l15,plain,
'E'(f(X0_15),s(s(s(s(s('0')))))),
inference(instantiation,[status(thm)],[4]) ).
cnf(l16,plain,
( ~ 'E'(f(X0_31),s(s(s(s('0')))))
| ~ 'E'(f(X0_21),s(s(s(s(s('0'))))))
| 'E'(f(X0_21),s(s(s('0')))) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l17,plain,
'E'(f(X0_17),s(s(s(s(s('0')))))),
inference(instantiation,[status(thm)],[4]) ).
cnf(l18,plain,
'E'(f(X0_18),s(s(s(s(s('0')))))),
inference(instantiation,[status(thm)],[4]) ).
cnf(l19,plain,
( ~ 'E'(f(X0_31),s(s(s(s('0')))))
| ~ 'E'(f(X0_25),s(s(s(s(s('0'))))))
| 'E'(f(X0_25),s(s(s('0')))) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l20,plain,
'E'(f(X0_20),s(s(s(s(s('0')))))),
inference(instantiation,[status(thm)],[4]) ).
cnf(l21,plain,
'E'(f(X0_21),s(s(s(s(s('0')))))),
inference(instantiation,[status(thm)],[4]) ).
cnf(l22,plain,
( ~ 'E'(f(X0_31),s(s(s(s('0')))))
| ~ 'E'(f(X0_24),s(s(s(s(s('0'))))))
| ~ 'E'(f(X0_28),s(s(s('0'))))
| ~ 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3_29)),s(s('0')))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X4_22)),s('0')) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l23,plain,
( ~ 'E'(f(X0_31),s(s(s(s('0')))))
| ~ 'E'(f(X0_28),s(s(s(s(s('0'))))))
| 'E'(f(X0_28),s(s(s('0')))) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l24,plain,
'E'(f(X0_24),s(s(s(s(s('0')))))),
inference(instantiation,[status(thm)],[4]) ).
cnf(l25,plain,
'E'(f(X0_25),s(s(s(s(s('0')))))),
inference(instantiation,[status(thm)],[4]) ).
cnf(l26,plain,
'E'(f(X0_26),s(s(s(s(s('0')))))),
inference(instantiation,[status(thm)],[4]) ).
cnf(l27,plain,
'E'(f(X0_27),s(s(s(s(s('0')))))),
inference(instantiation,[status(thm)],[4]) ).
cnf(l28,plain,
'E'(f(X0_28),s(s(s(s(s('0')))))),
inference(instantiation,[status(thm)],[4]) ).
cnf(l29,plain,
( ~ 'E'(f(X0_31),s(s(s(s('0')))))
| ~ 'E'(f(X0_30),s(s(s(s(s('0'))))))
| ~ 'E'(f(X0_32),s(s(s('0'))))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3_29)),s(s('0'))) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l30,plain,
'E'(f(X0_30),s(s(s(s(s('0')))))),
inference(instantiation,[status(thm)],[4]) ).
cnf(l31,plain,
( ~ 'E'(f(X0_31),s(s(s(s('0')))))
| ~ 'E'(f(X0_32),s(s(s(s(s('0'))))))
| 'E'(f(X0_32),s(s(s('0')))) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l32,plain,
'E'(f(X0_32),s(s(s(s(s('0')))))),
inference(instantiation,[status(thm)],[4]) ).
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,l27,l28,l29,l30,l31,l32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : SYO633-1 : TPTP v9.0.0. Released v7.1.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Jul 22 20:02:19 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 2
% 0.19/0.34 % launching worker at depth: 4
% 0.19/0.34 % launching worker at depth: 7
% 0.19/0.34 % launching worker at depth: 6
% 0.19/0.34 % launching worker at depth: 8
% 0.19/0.34 % launching worker at depth: 9
% 0.19/0.34 % launching worker at depth: 10
% 0.19/0.34 % SZS status Theorem for theBenchmark
% 0.19/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------