0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.12/0.37 % Computer : n015.cluster.edu 0.12/0.37 % Model : x86_64 x86_64 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.37 % Memory : 8046.5625MB 0.12/0.37 % OS : Linux 6.8.0-71-generic 0.12/0.37 % CPULimit : 1440 0.12/0.37 % WCLimit : 180 0.12/0.37 % DateTime : Mon Jul 27 10:11:53 UTC 2026 0.12/0.37 % CPUTime : 0.12/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.12/0.42 Running first-order theorem proving 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox/benchmark/theBenchmark.p 402.94/59.29 % Version: 3.5.1 402.94/59.29 % Preprocessing class: FSSSSMSSSSSNFFN. 402.94/59.29 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 402.94/59.29 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 900s (5) cores 402.94/59.29 % Starting new_bool_3 with 180s (1) cores 402.94/59.29 % Starting new_bool_1 with 180s (1) cores 402.94/59.29 % Starting sh5l with 180s (1) cores 402.94/59.29 % sh5l with pid 867491 completed with status 0 402.94/59.29 % Result found by sh5l 402.94/59.29 % Preprocessing class: FSSSSMSSSSSNFFN. 402.94/59.29 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 402.94/59.29 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 900s (5) cores 402.94/59.29 % Starting new_bool_3 with 180s (1) cores 402.94/59.29 % Starting new_bool_1 with 180s (1) cores 402.94/59.29 % Starting sh5l with 180s (1) cores 402.94/59.29 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000) 402.94/59.29 % SinE strategy is gf500_gu_R04_F100_L20000 402.94/59.29 % Search class: FHUNF-FFSF21-DFFFFFNN 402.94/59.29 % Scheduled 5 strats onto 1 cores with 180 seconds (180 total) 402.94/59.29 % Starting SubtermCWHack with 19s (1) cores 402.94/59.29 % SubtermCWHack with pid 867499 completed with status 8 402.94/59.29 % Starting G----_0019_C18_F1_PI_SE_CS_SP_S0Y with 109s (1) cores 402.94/59.29 % G----_0019_C18_F1_PI_SE_CS_SP_S0Y with pid 867500 completed with status 0 402.94/59.29 % Result found by G----_0019_C18_F1_PI_SE_CS_SP_S0Y 402.94/59.29 % Preprocessing class: FSSSSMSSSSSNFFN. 402.94/59.29 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 402.94/59.29 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 900s (5) cores 402.94/59.29 % Starting new_bool_3 with 180s (1) cores 402.94/59.29 % Starting new_bool_1 with 180s (1) cores 402.94/59.29 % Starting sh5l with 180s (1) cores 402.94/59.29 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000) 402.94/59.29 % SinE strategy is gf500_gu_R04_F100_L20000 402.94/59.29 % Search class: FHUNF-FFSF21-DFFFFFNN 402.94/59.29 % Scheduled 5 strats onto 1 cores with 180 seconds (180 total) 402.94/59.29 % Starting SubtermCWHack with 19s (1) cores 402.94/59.29 % SubtermCWHack with pid 867499 completed with status 8 402.94/59.29 % Starting G----_0019_C18_F1_PI_SE_CS_SP_S0Y with 109s (1) cores 402.94/59.29 % Preprocessing time : 0.001 s 402.94/59.29 402.94/59.29 % Proof found! 402.94/59.29 % SZS status Theorem 402.94/59.29 % SZS output start CNFRefutation 402.94/59.29 fof(condensed_detachment, axiom, ![X16, X17]:((is_a_theorem(X17)<=(is_a_theorem(implies(X16,X17))&is_a_theorem(X16)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', condensed_detachment)). 402.94/59.29 fof(f2, axiom, ![X1, X2, X3, X4, X5, X6, X7, X8, X9, X10, X11, X12, X13, X14, X15]:(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))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', f2)). 402.94/59.29 fof(f3, conjecture, is_a_theorem(implies(implies(x,y),implies(implies(y,n(x)),n(x)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', f3)). 402.94/59.29 fof(c_0_3, plain, ![X16, X17]:(((is_a_theorem(implies(X16,X17))&is_a_theorem(X16))=>is_a_theorem(X17))), inference(fof_simplification,[status(thm)],[condensed_detachment])). 402.94/59.29 fof(c_0_4, plain, ![X33, X34]:((~is_a_theorem(implies(X33,X34))|~is_a_theorem(X33)|is_a_theorem(X34))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])). 402.94/59.29 fof(c_0_5, plain, ![X18, X19, X20, X21, X22, X23, X24, X25, X26, X27, X28, X29, X30, X31, X32]:(is_a_theorem(implies(implies(implies(implies(implies(X18,implies(X19,X18)),implies(implies(X20,implies(X21,implies(X22,X21))),X23)),X23),implies(implies(implies(implies(implies(implies(implies(X24,X25),implies(implies(X25,X26),implies(X24,X26))),implies(implies(implies(n(X27),X27),X27),X28)),X28),implies(implies(X29,implies(n(X29),X30)),X31)),X31),X32)),X32))), inference(variable_rename,[status(thm)],[f2])). 402.94/59.29 cnf(c_0_6, plain, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), inference(split_conjunct,[status(thm)],[c_0_4])). 402.94/59.29 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])). 402.94/59.29 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])). 402.94/59.29 cnf(c_0_9, plain, (is_a_theorem(implies(X1,implies(X2,X1)))), inference(spm,[status(thm)],[c_0_8, c_0_7])). 402.94/59.29 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])). 402.94/59.29 cnf(c_0_11, 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])). 402.94/59.29 cnf(c_0_12, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_6, c_0_9])). 402.94/59.29 cnf(c_0_13, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,X2))))), inference(spm,[status(thm)],[c_0_8, c_0_10])). 402.94/59.29 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_11, c_0_12])). 402.94/59.29 cnf(c_0_15, 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_13])). 402.94/59.29 cnf(c_0_16, 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_14, c_0_15])). 402.94/59.29 cnf(c_0_17, 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_16])). 402.94/59.29 cnf(c_0_18, 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_17, c_0_9])). 402.94/59.29 cnf(c_0_19, plain, (is_a_theorem(implies(X1,implies(implies(n(X2),X2),X2)))), inference(spm,[status(thm)],[c_0_11, c_0_16])). 402.94/59.29 cnf(c_0_20, plain, (is_a_theorem(implies(implies(implies(X1,implies(X2,X1)),X3),implies(X4,X3)))), inference(spm,[status(thm)],[c_0_11, c_0_18])). 402.94/59.29 cnf(c_0_21, plain, (is_a_theorem(implies(implies(n(X1),X1),X1))), inference(spm,[status(thm)],[c_0_14, c_0_19])). 402.94/59.29 cnf(c_0_22, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(X3,implies(X4,X3)),X2))), inference(spm,[status(thm)],[c_0_6, c_0_20])). 402.94/59.29 cnf(c_0_23, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))), inference(spm,[status(thm)],[c_0_17, c_0_20])). 402.94/59.29 cnf(c_0_24, plain, (is_a_theorem(X1)|~is_a_theorem(implies(n(X1),X1))), inference(spm,[status(thm)],[c_0_6, c_0_21])). 402.94/59.29 cnf(c_0_25, plain, (is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X4),implies(X3,X4))))), inference(spm,[status(thm)],[c_0_22, c_0_23])). 402.94/59.29 cnf(c_0_26, plain, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3)))), inference(spm,[status(thm)],[c_0_24, c_0_25])). 402.94/59.29 cnf(c_0_27, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(X3,X1),X2))), inference(spm,[status(thm)],[c_0_6, c_0_26])). 402.94/59.29 cnf(c_0_28, plain, (is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,X2))))), inference(spm,[status(thm)],[c_0_27, c_0_23])). 402.94/59.29 cnf(c_0_29, plain, (is_a_theorem(implies(implies(implies(implies(n(X1),X1),X1),X2),X2))), inference(spm,[status(thm)],[c_0_27, c_0_18])). 402.94/59.29 cnf(c_0_30, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_6, c_0_28])). 402.94/59.29 cnf(c_0_31, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(implies(n(X2),X2),X2),X1))), inference(spm,[status(thm)],[c_0_6, c_0_29])). 402.94/59.29 cnf(c_0_32, 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_23])). 402.94/59.29 cnf(c_0_33, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X3,X2))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_6, c_0_30])). 402.94/59.29 cnf(c_0_34, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(n(X2),X2)))), inference(spm,[status(thm)],[c_0_31, c_0_32])). 402.94/59.29 cnf(c_0_35, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(implies(X4,X2),X3))), inference(spm,[status(thm)],[c_0_33, c_0_26])). 402.94/59.29 cnf(c_0_36, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(implies(n(X2),X1))), inference(spm,[status(thm)],[c_0_34, c_0_32])). 402.94/59.29 cnf(c_0_37, plain, (is_a_theorem(implies(X1,implies(X2,X2)))), inference(spm,[status(thm)],[c_0_35, c_0_21])). 402.94/59.29 cnf(c_0_38, 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_32])). 402.94/59.29 cnf(c_0_39, plain, (is_a_theorem(implies(implies(implies(X1,X1),X2),X2))), inference(spm,[status(thm)],[c_0_36, c_0_37])). 402.94/59.29 cnf(c_0_40, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(implies(X3,X3),X2)))), inference(spm,[status(thm)],[c_0_38, c_0_39])). 402.94/59.29 cnf(c_0_41, plain, (is_a_theorem(implies(X1,implies(X2,implies(implies(X2,X3),implies(X4,X3)))))), inference(spm,[status(thm)],[c_0_35, c_0_23])). 402.94/59.29 cnf(c_0_42, plain, (is_a_theorem(implies(implies(implies(X1,X1),implies(implies(X2,X2),X3)),X3))), inference(spm,[status(thm)],[c_0_40, c_0_39])). 402.94/59.29 cnf(c_0_43, plain, (is_a_theorem(implies(implies(implies(X1,implies(implies(X1,X2),implies(X3,X2))),X4),X4))), inference(spm,[status(thm)],[c_0_36, c_0_41])). 402.94/59.29 cnf(c_0_44, plain, (is_a_theorem(implies(X1,implies(implies(implies(X2,X2),X3),X3)))), inference(spm,[status(thm)],[c_0_35, c_0_42])). 402.94/59.29 cnf(c_0_45, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(X2,implies(implies(X2,X3),implies(X4,X3))),X1))), inference(spm,[status(thm)],[c_0_6, c_0_43])). 402.94/59.29 cnf(c_0_46, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(X2,implies(n(X2),X3)),X1))), inference(spm,[status(thm)],[c_0_17, c_0_12])). 402.94/59.29 cnf(c_0_47, plain, (is_a_theorem(implies(implies(implies(implies(implies(X1,X1),X2),X2),X3),X3))), inference(spm,[status(thm)],[c_0_36, c_0_44])). 402.94/59.29 cnf(c_0_48, plain, (is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),implies(X1,X4)))), inference(spm,[status(thm)],[c_0_45, c_0_23])). 402.94/59.29 cnf(c_0_49, plain, (is_a_theorem(implies(implies(implies(n(X1),X2),X3),implies(X1,X3)))), inference(spm,[status(thm)],[c_0_46, c_0_23])). 402.94/59.29 cnf(c_0_50, plain, (is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X3),implies(X2,X3)),X4),X4))), inference(spm,[status(thm)],[c_0_36, c_0_25])). 402.94/59.29 cnf(c_0_51, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(implies(implies(X2,X2),X3),X3),X1))), inference(spm,[status(thm)],[c_0_6, c_0_47])). 402.94/59.29 cnf(c_0_52, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(implies(X1,X3),implies(X4,X3)),X2))), inference(spm,[status(thm)],[c_0_6, c_0_48])). 402.94/59.29 cnf(c_0_53, plain, (is_a_theorem(implies(implies(implies(n(n(X1)),X2),X1),X1))), inference(spm,[status(thm)],[c_0_34, c_0_49])). 402.94/59.29 cnf(c_0_54, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(implies(implies(X2,X3),X4),implies(X3,X4)),X1))), inference(spm,[status(thm)],[c_0_6, c_0_50])). 402.94/59.29 cnf(c_0_55, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X3,X3),X1),X2)))), inference(spm,[status(thm)],[c_0_51, c_0_23])). 402.94/59.29 cnf(c_0_56, 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_49])). 402.94/59.29 cnf(c_0_57, plain, (is_a_theorem(implies(n(n(implies(X1,X2))),implies(X1,X2)))), inference(spm,[status(thm)],[c_0_52, c_0_53])). 402.94/59.29 cnf(c_0_58, plain, (is_a_theorem(implies(implies(implies(X1,X1),implies(implies(X2,X3),X4)),implies(X3,X4)))), inference(spm,[status(thm)],[c_0_54, c_0_55])). 402.94/59.29 cnf(c_0_59, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(implies(n(X2),X4),X3))), inference(spm,[status(thm)],[c_0_33, c_0_49])). 402.94/59.29 cnf(c_0_60, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X2,n(X1)))), inference(spm,[status(thm)],[c_0_56, c_0_32])). 402.94/59.29 cnf(c_0_61, plain, (is_a_theorem(implies(n(n(implies(implies(X1,X1),X2))),X2))), inference(spm,[status(thm)],[c_0_40, c_0_57])). 402.94/59.29 cnf(c_0_62, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(X3,X3),implies(implies(X4,X1),X2)))), inference(spm,[status(thm)],[c_0_6, c_0_58])). 402.94/59.29 cnf(c_0_63, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,X4))))|~is_a_theorem(implies(X3,n(X2)))), inference(spm,[status(thm)],[c_0_59, c_0_32])). 402.94/59.29 cnf(c_0_64, plain, (is_a_theorem(implies(X1,implies(n(n(implies(implies(X2,X2),n(X1)))),X3)))), inference(spm,[status(thm)],[c_0_60, c_0_61])). 402.94/59.29 cnf(c_0_65, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X2,n(implies(X4,X1))))), inference(spm,[status(thm)],[c_0_62, c_0_63])). 402.94/59.29 cnf(c_0_66, plain, (is_a_theorem(implies(X1,n(implies(implies(X2,X2),n(X1)))))), inference(spm,[status(thm)],[c_0_34, c_0_64])). 402.94/59.29 cnf(c_0_67, plain, (is_a_theorem(implies(n(X1),implies(X1,X2)))), inference(spm,[status(thm)],[c_0_65, c_0_66])). 402.94/59.29 cnf(c_0_68, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(n(X1),X1),X2)))), inference(spm,[status(thm)],[c_0_31, c_0_23])). 402.94/59.29 cnf(c_0_69, plain, (is_a_theorem(implies(implies(implies(X1,X2),X1),X1))), inference(spm,[status(thm)],[c_0_36, c_0_67])). 402.94/59.29 cnf(c_0_70, plain, (is_a_theorem(implies(X1,implies(implies(n(X2),X2),implies(X3,X2))))), inference(spm,[status(thm)],[c_0_22, c_0_68])). 402.94/59.29 cnf(c_0_71, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X1,implies(implies(X4,X2),X3)))), inference(spm,[status(thm)],[c_0_38, c_0_26])). 402.94/59.29 cnf(c_0_72, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(implies(X2,X3),X2)))), inference(spm,[status(thm)],[c_0_38, c_0_69])). 402.94/59.29 cnf(c_0_73, plain, (is_a_theorem(implies(implies(implies(X1,X1),n(X2)),implies(X2,X3)))), inference(spm,[status(thm)],[c_0_60, c_0_66])). 402.94/59.29 cnf(c_0_74, plain, (is_a_theorem(implies(implies(n(X1),X1),implies(X2,X1)))), inference(spm,[status(thm)],[c_0_24, c_0_70])). 402.94/59.29 cnf(c_0_75, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))|~is_a_theorem(implies(implies(X4,X3),X1))), inference(spm,[status(thm)],[c_0_71, c_0_32])). 402.94/59.29 cnf(c_0_76, plain, (is_a_theorem(implies(implies(implies(X1,X1),n(implies(X2,X3))),X2))), inference(spm,[status(thm)],[c_0_72, c_0_73])). 402.94/59.29 cnf(c_0_77, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_34, c_0_30])). 402.94/59.29 cnf(c_0_78, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X1,implies(n(X3),X3)))), inference(spm,[status(thm)],[c_0_38, c_0_74])). 402.94/59.29 cnf(c_0_79, plain, (is_a_theorem(implies(implies(X1,X2),implies(n(implies(X1,X3)),X2)))), inference(spm,[status(thm)],[c_0_75, c_0_76])). 402.94/59.29 cnf(c_0_80, plain, (is_a_theorem(implies(implies(X1,implies(n(X2),X2)),X2))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_34, c_0_77])). 402.94/59.29 cnf(c_0_81, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(implies(n(X3),X3),X3),X2))), inference(spm,[status(thm)],[c_0_33, c_0_29])). 402.94/59.29 cnf(c_0_82, plain, (is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2))))), inference(spm,[status(thm)],[c_0_78, c_0_79])). 402.94/59.29 cnf(c_0_83, plain, (is_a_theorem(X1)|~is_a_theorem(implies(X2,implies(n(X1),X1)))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_6, c_0_80])). 402.94/59.29 cnf(c_0_84, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X2,implies(n(X3),X3)))), inference(spm,[status(thm)],[c_0_81, c_0_32])). 402.94/59.29 cnf(c_0_85, plain, (is_a_theorem(implies(X1,implies(X2,implies(implies(X1,X3),X3))))), inference(spm,[status(thm)],[c_0_52, c_0_82])). 402.94/59.29 cnf(c_0_86, plain, (is_a_theorem(X1)|~is_a_theorem(implies(n(X1),X2))|~is_a_theorem(implies(X2,X1))), inference(spm,[status(thm)],[c_0_83, c_0_32])). 402.94/59.29 cnf(c_0_87, plain, (is_a_theorem(implies(X1,implies(X2,implies(implies(X2,X3),X3))))), inference(spm,[status(thm)],[c_0_84, c_0_85])). 402.94/59.29 cnf(c_0_88, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(X3,X2)))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_38, c_0_77])). 402.94/59.29 cnf(c_0_89, plain, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(implies(X4,X1),X2),X3)))), inference(spm,[status(thm)],[c_0_54, c_0_23])). 402.94/59.29 cnf(c_0_90, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(X2,implies(implies(X2,X3),X3)),X1))), inference(spm,[status(thm)],[c_0_86, c_0_87])). 402.94/59.29 cnf(c_0_91, plain, (is_a_theorem(implies(implies(X1,X2),implies(X1,X3)))|~is_a_theorem(implies(X2,X3))), inference(spm,[status(thm)],[c_0_88, c_0_23])). 402.94/59.29 cnf(c_0_92, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(X1,X2),X1))), inference(spm,[status(thm)],[c_0_86, c_0_67])). 402.94/59.29 cnf(c_0_93, plain, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(n(implies(X2,X3)),X4)))), inference(spm,[status(thm)],[c_0_46, c_0_89])). 402.94/59.29 cnf(c_0_94, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(implies(X1,X3),X3),X2))), inference(spm,[status(thm)],[c_0_90, c_0_91])). 402.94/59.29 cnf(c_0_95, plain, (is_a_theorem(implies(n(implies(X1,X2)),X1))), inference(spm,[status(thm)],[c_0_92, c_0_93])). 402.94/59.29 cnf(c_0_96, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X2,implies(X1,X3)))), inference(spm,[status(thm)],[c_0_94, c_0_32])). 402.94/59.29 cnf(c_0_97, plain, (is_a_theorem(implies(X1,implies(implies(X2,X3),implies(implies(X1,X2),X3))))), inference(spm,[status(thm)],[c_0_94, c_0_23])). 402.94/59.29 cnf(c_0_98, plain, (is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X1,X2)))), inference(spm,[status(thm)],[c_0_36, c_0_95])). 402.94/59.29 cnf(c_0_99, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,implies(implies(X3,X1),X2))))), inference(spm,[status(thm)],[c_0_96, c_0_97])). 402.94/59.29 cnf(c_0_100, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X2,implies(X2,X3)))), inference(spm,[status(thm)],[c_0_33, c_0_98])). 402.94/59.29 cnf(c_0_101, plain, (is_a_theorem(implies(X1,implies(X2,implies(implies(X2,implies(X1,X3)),X3))))), inference(spm,[status(thm)],[c_0_94, c_0_99])). 402.94/59.29 cnf(c_0_102, plain, (is_a_theorem(implies(X1,implies(X2,implies(implies(X2,implies(X2,X3)),X3))))), inference(spm,[status(thm)],[c_0_100, c_0_101])). 402.94/59.29 cnf(c_0_103, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(implies(implies(X3,X3),X1))), inference(spm,[status(thm)],[c_0_40, c_0_32])). 402.94/59.29 cnf(c_0_104, plain, (is_a_theorem(implies(n(implies(X1,X2)),implies(X2,X3)))), inference(spm,[status(thm)],[c_0_71, c_0_67])). 402.94/59.29 cnf(c_0_105, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(X2,implies(implies(X2,implies(X2,X3)),X3)),X1))), inference(spm,[status(thm)],[c_0_86, c_0_102])). 402.94/59.29 cnf(c_0_106, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(implies(n(X1),X1))), inference(spm,[status(thm)],[c_0_103, c_0_80])). 402.94/59.29 cnf(c_0_107, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,X4))))|~is_a_theorem(implies(X2,X4))), inference(spm,[status(thm)],[c_0_22, c_0_32])). 402.94/59.29 cnf(c_0_108, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(X2,X3),implies(X1,X2)))), inference(spm,[status(thm)],[c_0_86, c_0_104])). 402.94/59.29 cnf(c_0_109, plain, (is_a_theorem(implies(X1,implies(n(X2),X3)))|~is_a_theorem(implies(X1,X2))), inference(spm,[status(thm)],[c_0_46, c_0_32])). 402.94/59.29 cnf(c_0_110, plain, (is_a_theorem(implies(implies(n(X1),X1),implies(implies(X1,implies(X1,X2)),X2)))), inference(spm,[status(thm)],[c_0_105, c_0_68])). 402.94/59.29 cnf(c_0_111, plain, (is_a_theorem(implies(implies(implies(X1,implies(implies(X1,X2),X2)),X3),X3))), inference(spm,[status(thm)],[c_0_106, c_0_87])). 402.94/59.29 fof(c_0_112, negated_conjecture, ~(is_a_theorem(implies(implies(x,y),implies(implies(y,n(x)),n(x))))), inference(assume_negation,[status(cth)],[f3])). 402.94/59.29 cnf(c_0_113, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X1,X3))), inference(spm,[status(thm)],[c_0_24, c_0_107])). 402.94/59.29 cnf(c_0_114, plain, (is_a_theorem(implies(n(X1),X2))|~is_a_theorem(implies(implies(X2,X3),X1))), inference(spm,[status(thm)],[c_0_108, c_0_109])). 402.94/59.29 cnf(c_0_115, plain, (is_a_theorem(implies(implies(n(X1),X1),X2))|~is_a_theorem(implies(X1,implies(X1,X2)))), inference(spm,[status(thm)],[c_0_88, c_0_110])). 402.94/59.29 cnf(c_0_116, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(X3,implies(implies(X3,X4),X4)),X2))), inference(spm,[status(thm)],[c_0_33, c_0_111])). 402.94/59.29 fof(c_0_117, negated_conjecture, ~is_a_theorem(implies(implies(x,y),implies(implies(y,n(x)),n(x)))), inference(fof_simplification,[status(thm)],[c_0_112])). 402.94/59.29 cnf(c_0_118, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(n(implies(X1,X2)),X2))), inference(spm,[status(thm)],[c_0_24, c_0_113])). 402.94/59.29 cnf(c_0_119, plain, (is_a_theorem(implies(n(X1),n(X2)))|~is_a_theorem(implies(X2,implies(X2,X1)))), inference(spm,[status(thm)],[c_0_114, c_0_115])). 402.94/59.29 cnf(c_0_120, plain, (is_a_theorem(implies(X1,implies(X2,implies(implies(X2,X3),implies(implies(X3,X4),X4)))))), inference(spm,[status(thm)],[c_0_116, c_0_99])). 402.94/59.29 fof(c_0_121, negated_conjecture, ~is_a_theorem(implies(implies(x,y),implies(implies(y,n(x)),n(x)))), inference(fof_nnf,[status(thm)],[c_0_117])). 402.94/59.29 cnf(c_0_122, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(n(implies(X1,implies(X2,X3))),X3))), inference(spm,[status(thm)],[c_0_118, c_0_113])). 402.94/59.29 cnf(c_0_123, plain, (is_a_theorem(implies(n(implies(implies(X1,X2),implies(implies(X2,X3),X3))),n(X1)))), inference(spm,[status(thm)],[c_0_119, c_0_120])). 402.94/59.29 cnf(c_0_124, negated_conjecture, (~is_a_theorem(implies(implies(x,y),implies(implies(y,n(x)),n(x))))), inference(split_conjunct,[status(thm)],[c_0_121])). 402.94/59.29 cnf(c_0_125, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,n(X1)),n(X1))))), inference(spm,[status(thm)],[c_0_122, c_0_123])). 402.94/59.29 cnf(c_0_126, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_124, c_0_125])]), ['proof']). 402.94/59.29 % SZS output end CNFRefutation 402.94/59.29 % Parsed axioms : 3 402.94/59.29 % Removed by relevancy pruning/SinE : 0 402.94/59.29 % Initial clauses : 3 402.94/59.29 % Removed in clause preprocessing : 0 402.94/59.29 % Initial clauses in saturation : 3 402.94/59.29 % Processed clauses : 214396 402.94/59.29 % ...of these trivial : 50850 402.94/59.29 % ...subsumed : 151996 402.94/59.29 % ...remaining for further processing : 11550 402.94/59.29 % Other redundant clauses eliminated : 0 402.94/59.29 % Clauses deleted for lack of memory : 0 402.94/59.29 % Backward-subsumed : 32 402.94/59.29 % Backward-rewritten : 205 402.94/59.29 % Generated clauses : 2637384 402.94/59.29 % ...of the previous two non-redundant : 1414035 402.94/59.29 % ...aggressively subsumed : 0 402.94/59.29 % Contextual simplify-reflections : 0 402.94/59.29 % Paramodulations : 2637384 402.94/59.29 % Factorizations : 0 402.94/59.29 % NegExts : 0 402.94/59.29 % Equation resolutions : 0 402.94/59.29 % Disequality decompositions : 0 402.94/59.29 % Total rewrite steps : 1270730 402.94/59.29 % ...of those cached : 1192492 402.94/59.29 % Propositional unsat checks : 0 402.94/59.29 % Propositional check models : 0 402.94/59.29 % Propositional check unsatisfiable : 0 402.94/59.29 % Propositional clauses : 0 402.94/59.29 % Propositional clauses after purity: 0 402.94/59.29 % Propositional unsat core size : 0 402.94/59.29 % Propositional preprocessing time : 0.000 402.94/59.29 % Propositional encoding time : 0.000 402.94/59.29 % Propositional solver time : 0.000 402.94/59.29 % Success case prop preproc time : 0.000 402.94/59.29 % Success case prop encoding time : 0.000 402.94/59.29 % Success case prop solver time : 0.000 402.94/59.29 % Current number of processed clauses : 11313 402.94/59.29 % Positive orientable unit clauses : 9692 402.94/59.29 % Positive unorientable unit clauses: 0 402.94/59.29 % Negative unit clauses : 16 402.94/59.29 % Non-unit-clauses : 1605 402.94/59.29 % Current number of unprocessed clauses: 1198009 402.94/59.29 % ...number of literals in the above : 1522006 402.94/59.29 % Current number of archived formulas : 0 402.94/59.29 % Current number of archived clauses : 237 402.94/59.29 % Clause-clause subsumption calls (NU) : 4772327 402.94/59.29 % Rec. Clause-clause subsumption calls : 4772327 402.94/59.29 % Non-unit clause-clause subsumptions : 151995 402.94/59.29 % Unit Clause-clause subsumption calls : 9728 402.94/59.29 % Rewrite failures with RHS unbound : 0 402.94/59.29 % BW rewrite match attempts : 17690179 402.94/59.29 % BW rewrite match successes : 205 402.94/59.29 % Condensation attempts : 0 402.94/59.29 % Condensation successes : 0 402.94/59.29 % Termbank termtop insertions : 30905340 402.94/59.29 % Search garbage collected termcells : 19 402.94/59.29 402.94/59.29 % ------------------------------------------------- 402.94/59.29 % User time : 56.251 s 402.94/59.29 % System time : 1.408 s 402.94/59.29 % Total time : 57.659 s 402.94/59.29 % Maximum resident set size: 3652 pages 402.94/59.29 402.94/59.29 % ------------------------------------------------- 402.94/59.29 % User time : 56.256 s 402.94/59.29 % System time : 1.411 s 402.94/59.29 % Total time : 57.667 s 402.94/59.29 % Maximum resident set size: 4608 pages 402.94/59.29 % E exiting 402.94/59.29 EOF