0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.03 % Command : /export/starexec/sandbox2/solver/bin/CSI %d %s 0.07/0.34 % Computer : n005.cluster.edu 0.07/0.34 % Model : x86_64 x86_64 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.07/0.34 % Memory : 8046.5625MB 0.07/0.34 % OS : Linux 6.8.0-71-generic 0.07/0.34 % CPULimit : 1440 0.07/0.34 % WCLimit : 180 0.07/0.34 % DateTime : Mon Jul 27 09:52:19 UTC 2026 0.07/0.34 % CPUTime : 0.13/0.45 start to proof:theBenchmark.p 489.19/117.11 % Problem : theBenchmark.p 489.19/117.11 % Proof found! 489.19/117.11 % SZS status Theorem for theBenchmark.p 489.19/117.11 % SZS output start Proof 489.19/117.11 fof(condensed_detachment, axiom, ![X1, X2]:((is_a_theorem(X2)<=(is_a_theorem(X1)&is_a_theorem(implies(X1,X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', condensed_detachment)). 489.19/117.11 fof(f2, axiom, ![X3, X4, X5, X6, X7, X8, X9, X10, X11, X12, X13, X14, X15, X16, X17]:(is_a_theorem(implies(implies(implies(implies(implies(X3,implies(X4,X3)),implies(implies(X5,implies(X6,implies(X7,X6))),X8)),X8),implies(implies(implies(implies(implies(implies(implies(X9,X10),implies(implies(X10,X11),implies(X9,X11))),implies(implies(implies(n(X12),X12),X12),X13)),X13),implies(implies(X14,implies(n(X14),X15)),X16)),X16),X17)),X17))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', f2)). 489.19/117.11 fof(f3, conjecture, is_a_theorem(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', f3)). 489.19/117.11 fof(c_0_3, plain, ![X1, X2]:(((is_a_theorem(X1)&is_a_theorem(implies(X1,X2)))=>is_a_theorem(X2))), inference(fof_simplification,[status(thm)],[condensed_detachment])). 489.19/117.11 fof(c_0_4, plain, ![X18, X19]:((~is_a_theorem(X18)|~is_a_theorem(implies(X18,X19))|is_a_theorem(X19))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])). 489.19/117.11 fof(c_0_5, plain, ![X20, X21, X22, X23, X24, X25, X26, X27, X28, X29, X30, X31, X32, X33, X34]:(is_a_theorem(implies(implies(implies(implies(implies(X20,implies(X21,X20)),implies(implies(X22,implies(X23,implies(X24,X23))),X25)),X25),implies(implies(implies(implies(implies(implies(implies(X26,X27),implies(implies(X27,X28),implies(X26,X28))),implies(implies(implies(n(X29),X29),X29),X30)),X30),implies(implies(X31,implies(n(X31),X32)),X33)),X33),X34)),X34))), inference(variable_rename,[status(thm)],[f2])). 489.19/117.11 cnf(c_0_6, plain, (is_a_theorem(X2)|~is_a_theorem(X1)|~is_a_theorem(implies(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_4])). 489.19/117.11 cnf(c_0_7, plain, (is_a_theorem(implies(implies(implies(implies(implies(X1,implies(X2,X1)),implies(implies(X3,implies(X4,implies(X5,X4))),X6)),X6),implies(implies(implies(implies(implies(implies(implies(X7,X8),implies(implies(X8,X9),implies(X7,X9))),implies(implies(implies(n(X10),X10),X10),X11)),X11),implies(implies(X12,implies(n(X12),X13)),X14)),X14),X15)),X15))), inference(split_conjunct,[status(thm)],[c_0_5])). 489.19/117.11 cnf(c_0_8, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(implies(implies(X2,implies(X3,X2)),implies(implies(X4,implies(X5,implies(X6,X5))),X7)),X7),implies(implies(implies(implies(implies(implies(implies(X8,X9),implies(implies(X9,X10),implies(X8,X10))),implies(implies(implies(n(X11),X11),X11),X12)),X12),implies(implies(X13,implies(n(X13),X14)),X15)),X15),X1)))), inference(spm,[status(thm)],[c_0_6, c_0_7])). 489.19/117.11 cnf(c_0_9, plain, (is_a_theorem(implies(X1,implies(X2,X1)))), inference(spm,[status(thm)],[c_0_8, c_0_7])). 489.19/117.11 cnf(c_0_10, plain, (is_a_theorem(implies(implies(implies(X1,implies(X2,X1)),implies(implies(X3,implies(X4,implies(X5,X4))),X6)),X6))), inference(spm,[status(thm)],[c_0_8, c_0_9])). 489.19/117.11 cnf(c_0_11, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_6, c_0_9])). 489.19/117.11 cnf(c_0_12, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(X2,implies(X3,X2)),implies(implies(X4,implies(X5,implies(X6,X5))),X1)))), inference(spm,[status(thm)],[c_0_6, c_0_10])). 489.19/117.11 cnf(c_0_13, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4))),implies(implies(implies(n(X5),X5),X5),X6)),X6),implies(implies(X7,implies(n(X7),X8)),X9)),X9),X1))), inference(spm,[status(thm)],[c_0_8, c_0_11])). 489.19/117.11 cnf(c_0_14, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(X2,implies(X3,implies(X4,X3))),X1))), inference(spm,[status(thm)],[c_0_12, c_0_11])). 489.19/117.11 cnf(c_0_15, plain, (is_a_theorem(implies(X1,implies(implies(n(X2),X2),X2)))), inference(spm,[status(thm)],[c_0_13, c_0_10])). 489.19/117.11 cnf(c_0_16, plain, (is_a_theorem(implies(implies(n(X1),X1),X1))), inference(spm,[status(thm)],[c_0_14, c_0_15])). 489.19/117.11 cnf(c_0_17, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,X2))))), inference(spm,[status(thm)],[c_0_8, c_0_10])). 489.19/117.11 cnf(c_0_18, plain, (is_a_theorem(X1)|~is_a_theorem(implies(n(X1),X1))), inference(spm,[status(thm)],[c_0_6, c_0_16])). 489.19/117.11 cnf(c_0_19, plain, (is_a_theorem(implies(X1,implies(implies(implies(implies(implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4))),implies(implies(implies(n(X5),X5),X5),X6)),X6),implies(implies(X7,implies(n(X7),X8)),X9)),X9)))), inference(spm,[status(thm)],[c_0_8, c_0_17])). 489.19/117.11 cnf(c_0_20, plain, (is_a_theorem(implies(implies(implies(implies(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))),implies(implies(implies(n(X4),X4),X4),X5)),X5),implies(implies(X6,implies(n(X6),X7)),X8)),X8))), inference(spm,[status(thm)],[c_0_18, c_0_19])). 489.19/117.11 cnf(c_0_21, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(implies(implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4))),implies(implies(implies(n(X5),X5),X5),X6)),X6),implies(implies(X7,implies(n(X7),X8)),X1)))), inference(spm,[status(thm)],[c_0_6, c_0_20])). 489.19/117.11 cnf(c_0_22, plain, (is_a_theorem(implies(implies(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))),implies(implies(implies(n(X4),X4),X4),X5)),X5))), inference(spm,[status(thm)],[c_0_21, c_0_9])). 489.19/117.11 cnf(c_0_23, plain, (is_a_theorem(implies(implies(implies(X1,implies(X2,X1)),X3),implies(X4,X3)))), inference(spm,[status(thm)],[c_0_12, c_0_22])). 489.19/117.11 cnf(c_0_24, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))), inference(spm,[status(thm)],[c_0_21, c_0_23])). 489.19/117.11 cnf(c_0_25, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))|~is_a_theorem(implies(X3,X1))), inference(spm,[status(thm)],[c_0_6, c_0_24])). 489.19/117.11 cnf(c_0_26, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X3,X2))|~is_a_theorem(implies(X1,X3))), inference(spm,[status(thm)],[c_0_6, c_0_25])). 489.19/117.11 cnf(c_0_27, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X1,X3))), inference(spm,[status(thm)],[c_0_26, c_0_9])). 489.19/117.11 cnf(c_0_28, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(X2,implies(X3,X2)),X1))), inference(spm,[status(thm)],[c_0_12, c_0_27])). 489.19/117.11 cnf(c_0_29, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(X2,implies(n(X2),X3)),X1))), inference(spm,[status(thm)],[c_0_21, c_0_11])). 489.19/117.11 cnf(c_0_30, plain, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3)))), inference(spm,[status(thm)],[c_0_28, c_0_24])). 489.19/117.11 cnf(c_0_31, plain, (is_a_theorem(implies(implies(implies(n(X1),X2),X3),implies(X1,X3)))), inference(spm,[status(thm)],[c_0_29, c_0_24])). 489.19/117.11 cnf(c_0_32, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(X3,X1),X2))), inference(spm,[status(thm)],[c_0_6, c_0_30])). 489.19/117.11 cnf(c_0_33, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(n(X2),X2)))), inference(spm,[status(thm)],[c_0_26, c_0_16])). 489.19/117.11 cnf(c_0_34, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X1,implies(implies(n(X2),X4),X3)))), inference(spm,[status(thm)],[c_0_26, c_0_31])). 489.19/117.11 cnf(c_0_35, plain, (is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,X2))))), inference(spm,[status(thm)],[c_0_32, c_0_24])). 489.19/117.11 cnf(c_0_36, plain, (is_a_theorem(implies(implies(implies(X1,implies(X2,X1)),X3),X3))), inference(spm,[status(thm)],[c_0_33, c_0_23])). 489.19/117.11 cnf(c_0_37, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(implies(n(X2),X1))), inference(spm,[status(thm)],[c_0_33, c_0_25])). 489.19/117.11 cnf(c_0_38, plain, (is_a_theorem(implies(n(X1),implies(X1,implies(X2,X3))))), inference(spm,[status(thm)],[c_0_34, c_0_35])). 489.19/117.11 cnf(c_0_39, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4))),implies(implies(implies(n(X5),X5),X5),X1)))), inference(spm,[status(thm)],[c_0_6, c_0_22])). 489.19/117.11 cnf(c_0_40, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(implies(X3,implies(X4,X3)),X2)))), inference(spm,[status(thm)],[c_0_26, c_0_36])). 489.19/117.11 cnf(c_0_41, plain, (is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X1),X1))), inference(spm,[status(thm)],[c_0_37, c_0_38])). 489.19/117.11 cnf(c_0_42, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X1,X4))|~is_a_theorem(implies(X4,X3))), inference(spm,[status(thm)],[c_0_26, c_0_27])). 489.19/117.11 cnf(c_0_43, plain, (is_a_theorem(implies(implies(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))),implies(implies(implies(n(X4),X4),X4),implies(n(X5),X5))),X5))), inference(spm,[status(thm)],[c_0_33, c_0_22])). 489.19/117.11 cnf(c_0_44, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4))),X1))), inference(spm,[status(thm)],[c_0_39, c_0_27])). 489.19/117.11 cnf(c_0_45, plain, (is_a_theorem(implies(implies(X1,X2),implies(X1,implies(X3,X2))))), inference(spm,[status(thm)],[c_0_40, c_0_24])). 489.19/117.11 cnf(c_0_46, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(X1,implies(X2,X3)),X1))), inference(spm,[status(thm)],[c_0_6, c_0_41])). 489.19/117.11 cnf(c_0_47, plain, (is_a_theorem(implies(implies(implies(n(X1),X2),X3),implies(X4,X5)))|~is_a_theorem(implies(implies(X1,X3),X5))), inference(spm,[status(thm)],[c_0_42, c_0_31])). 489.19/117.11 cnf(c_0_48, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(implies(implies(X3,X4),implies(implies(X4,X5),implies(X3,X5))),implies(implies(implies(n(X6),X6),X6),implies(n(X2),X2)))))), inference(spm,[status(thm)],[c_0_26, c_0_43])). 489.19/117.11 cnf(c_0_49, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,implies(implies(X2,X4),implies(X1,X4)))))), inference(spm,[status(thm)],[c_0_44, c_0_45])). 489.19/117.11 cnf(c_0_50, plain, (is_a_theorem(implies(n(X1),X2))|~is_a_theorem(implies(implies(X1,implies(X3,X4)),X2))), inference(spm,[status(thm)],[c_0_46, c_0_47])). 489.19/117.11 cnf(c_0_51, plain, (is_a_theorem(implies(implies(n(X1),implies(n(X1),X1)),X1))), inference(spm,[status(thm)],[c_0_48, c_0_49])). 489.19/117.11 cnf(c_0_52, plain, (is_a_theorem(implies(n(n(X1)),X1))), inference(spm,[status(thm)],[c_0_50, c_0_51])). 489.19/117.11 cnf(c_0_53, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(n(X1),X3),X2))), inference(spm,[status(thm)],[c_0_6, c_0_31])). 489.19/117.11 cnf(c_0_54, plain, (is_a_theorem(implies(implies(X1,n(X1)),n(X1)))), inference(spm,[status(thm)],[c_0_37, c_0_52])). 489.19/117.11 cnf(c_0_55, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X2,n(X1)))), inference(spm,[status(thm)],[c_0_53, c_0_25])). 489.19/117.11 cnf(c_0_56, plain, (is_a_theorem(implies(X1,n(n(X1))))), inference(spm,[status(thm)],[c_0_53, c_0_54])). 489.19/117.11 cnf(c_0_57, plain, (is_a_theorem(implies(n(X1),implies(X1,X2)))), inference(spm,[status(thm)],[c_0_55, c_0_56])). 489.19/117.11 fof(c_0_58, negated_conjecture, ~is_a_theorem(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[f3])])). 489.19/117.11 cnf(c_0_59, plain, (is_a_theorem(implies(implies(implies(X1,X2),X1),X1))), inference(spm,[status(thm)],[c_0_37, c_0_57])). 489.19/117.11 fof(c_0_60, negated_conjecture, ~is_a_theorem(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u))), inference(fof_nnf,[status(thm)],[c_0_58])). 489.19/117.11 cnf(c_0_61, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(implies(X2,X3),X2)))), inference(spm,[status(thm)],[c_0_26, c_0_59])). 489.19/117.11 cnf(c_0_62, negated_conjecture, (~is_a_theorem(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u)))), inference(split_conjunct,[status(thm)],[c_0_60])). 489.19/117.11 cnf(c_0_63, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X1,implies(X4,X3)))|~is_a_theorem(implies(X2,X4))), inference(spm,[status(thm)],[c_0_26, c_0_25])). 489.19/117.11 cnf(c_0_64, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(implies(implies(X1,X4),implies(X5,X4)),X3))), inference(spm,[status(thm)],[c_0_42, c_0_35])). 489.19/117.11 cnf(c_0_65, plain, (is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X1,X2)))), inference(spm,[status(thm)],[c_0_61, c_0_24])). 489.19/117.11 cnf(c_0_66, negated_conjecture, (~is_a_theorem(implies(implies(y,implies(x,z)),implies(x,implies(y,z))))), inference(spm,[status(thm)],[c_0_62, c_0_25])). 489.19/117.11 cnf(c_0_67, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X1,X4))))|~is_a_theorem(implies(X3,implies(X2,X4)))), inference(spm,[status(thm)],[c_0_63, c_0_24])). 489.19/117.11 cnf(c_0_68, plain, (is_a_theorem(implies(X1,implies(X2,implies(implies(X1,X3),X3))))), inference(spm,[status(thm)],[c_0_64, c_0_65])). 489.19/117.11 cnf(c_0_69, negated_conjecture, (~is_a_theorem(implies(x,implies(implies(x,z),z)))), inference(spm,[status(thm)],[c_0_66, c_0_67])). 489.19/117.11 cnf(c_0_70, plain, (is_a_theorem(implies(X1,implies(implies(X1,X2),X2)))), inference(spm,[status(thm)],[c_0_33, c_0_68])). 489.19/117.11 cnf(c_0_71, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69, c_0_70])]), ['proof']). 489.19/117.11 % SZS output end Proof 489.19/117.11 % User time : 363.966 s 489.19/117.11 % System time : 8.160 s 489.19/117.11 % Total time : 372.126 s 489.19/117.11 % User time : 479.470 s 489.19/117.11 % System time : 9.397 s 489.19/117.11 % Total time : 488.867 s 489.19/117.11 489.19/117.12 EOF