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 0.13/0.37 % Computer : n014.cluster.edu 0.13/0.37 % Model : x86_64 x86_64 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.37 % Memory : 8046.5625MB 0.13/0.37 % OS : Linux 6.8.0-71-generic 0.13/0.37 % CPULimit : 1440 0.13/0.37 % WCLimit : 180 0.13/0.38 % DateTime : Mon Jul 27 10:26:09 UTC 2026 0.13/0.38 % CPUTime : 0.13/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.13/0.43 Running first-order theorem proving 0.13/0.43 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 233.47/34.55 % Version: 3.5.1 233.47/34.55 % Preprocessing class: FSSSSMSSSSSNFFN. 233.47/34.55 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 233.47/34.55 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 900s (5) cores 233.47/34.55 % Starting new_bool_3 with 180s (1) cores 233.47/34.55 % Starting new_bool_1 with 180s (1) cores 233.47/34.55 % Starting sh5l with 180s (1) cores 233.47/34.55 % new_bool_1 with pid 3529271 completed with status 0 233.47/34.55 % Result found by new_bool_1 233.47/34.55 % Preprocessing class: FSSSSMSSSSSNFFN. 233.47/34.55 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 233.47/34.55 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 900s (5) cores 233.47/34.55 % Starting new_bool_3 with 180s (1) cores 233.47/34.55 % Starting new_bool_1 with 180s (1) cores 233.47/34.55 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)) 233.47/34.55 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 233.47/34.55 % Search class: FHUNF-FFSF21-DFFFFFNN 233.47/34.55 % Scheduled 5 strats onto 1 cores with 180 seconds (180 total) 233.47/34.55 % Starting SubtermCWHack with 19s (1) cores 233.47/34.55 % SubtermCWHack with pid 3529275 completed with status 8 233.47/34.55 % Starting G----_0019_C18_F1_PI_SE_CS_SP_S0Y with 109s (1) cores 233.47/34.55 % G----_0019_C18_F1_PI_SE_CS_SP_S0Y with pid 3529283 completed with status 0 233.47/34.55 % Result found by G----_0019_C18_F1_PI_SE_CS_SP_S0Y 233.47/34.55 % Preprocessing class: FSSSSMSSSSSNFFN. 233.47/34.55 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 233.47/34.55 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 900s (5) cores 233.47/34.55 % Starting new_bool_3 with 180s (1) cores 233.47/34.55 % Starting new_bool_1 with 180s (1) cores 233.47/34.55 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)) 233.47/34.55 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 233.47/34.55 % Search class: FHUNF-FFSF21-DFFFFFNN 233.47/34.55 % Scheduled 5 strats onto 1 cores with 180 seconds (180 total) 233.47/34.55 % Starting SubtermCWHack with 19s (1) cores 233.47/34.55 % SubtermCWHack with pid 3529275 completed with status 8 233.47/34.55 % Starting G----_0019_C18_F1_PI_SE_CS_SP_S0Y with 109s (1) cores 233.47/34.55 % Preprocessing time : 0.001 s 233.47/34.55 233.47/34.55 % Proof found! 233.47/34.55 % SZS status Theorem 233.47/34.55 % SZS output start CNFRefutation 233.47/34.55 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)). 233.47/34.55 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)). 233.47/34.55 fof(f3, conjecture, is_a_theorem(implies(implies(n(x),y),implies(implies(x,y),y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', f3)). 233.47/34.55 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])). 233.47/34.55 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])])])). 233.47/34.55 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])). 233.47/34.55 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])). 233.47/34.55 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])). 233.47/34.55 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])). 233.47/34.55 cnf(c_0_9, plain, (is_a_theorem(implies(X1,implies(X2,X1)))), inference(spm,[status(thm)],[c_0_8, c_0_7])). 233.47/34.55 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])). 233.47/34.55 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])). 233.47/34.55 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])). 233.47/34.55 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])). 233.47/34.55 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])). 233.47/34.55 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])). 233.47/34.55 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])). 233.47/34.55 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])). 233.47/34.55 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])). 233.47/34.55 cnf(c_0_19, 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])). 233.47/34.55 cnf(c_0_20, 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_19])). 233.47/34.55 cnf(c_0_21, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))), inference(spm,[status(thm)],[c_0_17, c_0_19])). 233.47/34.55 cnf(c_0_22, plain, (is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X4),implies(X3,X4))))), inference(spm,[status(thm)],[c_0_20, c_0_21])). 233.47/34.55 cnf(c_0_23, plain, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3)))), inference(spm,[status(thm)],[c_0_14, c_0_22])). 233.47/34.55 cnf(c_0_24, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(X3,X1),X2))), inference(spm,[status(thm)],[c_0_6, c_0_23])). 233.47/34.55 cnf(c_0_25, plain, (is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,X2))))), inference(spm,[status(thm)],[c_0_24, c_0_21])). 233.47/34.55 cnf(c_0_26, plain, (is_a_theorem(implies(implies(implies(implies(n(X1),X1),X1),X2),X2))), inference(spm,[status(thm)],[c_0_24, c_0_18])). 233.47/34.55 cnf(c_0_27, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_6, c_0_25])). 233.47/34.55 cnf(c_0_28, 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_26])). 233.47/34.55 cnf(c_0_29, 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_21])). 233.47/34.55 cnf(c_0_30, 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_27])). 233.47/34.55 cnf(c_0_31, plain, (is_a_theorem(implies(X1,implies(implies(n(X2),X2),X2)))), inference(spm,[status(thm)],[c_0_11, c_0_16])). 233.47/34.55 cnf(c_0_32, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(n(X2),X2)))), inference(spm,[status(thm)],[c_0_28, c_0_29])). 233.47/34.55 cnf(c_0_33, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(implies(X4,X2),X3))), inference(spm,[status(thm)],[c_0_30, c_0_23])). 233.47/34.55 cnf(c_0_34, plain, (is_a_theorem(implies(implies(n(X1),X1),X1))), inference(spm,[status(thm)],[c_0_14, c_0_31])). 233.47/34.55 cnf(c_0_35, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(implies(n(X2),X1))), inference(spm,[status(thm)],[c_0_32, c_0_29])). 233.47/34.55 cnf(c_0_36, plain, (is_a_theorem(implies(X1,implies(X2,X2)))), inference(spm,[status(thm)],[c_0_33, c_0_34])). 233.47/34.55 cnf(c_0_37, 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_29])). 233.47/34.55 cnf(c_0_38, plain, (is_a_theorem(implies(implies(implies(X1,X1),X2),X2))), inference(spm,[status(thm)],[c_0_35, c_0_36])). 233.47/34.55 cnf(c_0_39, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(implies(X3,X3),X2)))), inference(spm,[status(thm)],[c_0_37, c_0_38])). 233.47/34.55 cnf(c_0_40, plain, (is_a_theorem(implies(X1,implies(X2,implies(implies(X2,X3),implies(X4,X3)))))), inference(spm,[status(thm)],[c_0_33, c_0_21])). 233.47/34.55 cnf(c_0_41, plain, (is_a_theorem(implies(implies(implies(X1,X1),implies(implies(X2,X2),X3)),X3))), inference(spm,[status(thm)],[c_0_39, c_0_38])). 233.47/34.55 cnf(c_0_42, plain, (is_a_theorem(implies(implies(implies(X1,implies(implies(X1,X2),implies(X3,X2))),X4),X4))), inference(spm,[status(thm)],[c_0_35, c_0_40])). 233.47/34.55 cnf(c_0_43, plain, (is_a_theorem(implies(X1,implies(implies(implies(X2,X2),X3),X3)))), inference(spm,[status(thm)],[c_0_33, c_0_41])). 233.47/34.55 cnf(c_0_44, 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_42])). 233.47/34.55 cnf(c_0_45, 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])). 233.47/34.55 cnf(c_0_46, plain, (is_a_theorem(implies(implies(implies(implies(implies(X1,X1),X2),X2),X3),X3))), inference(spm,[status(thm)],[c_0_35, c_0_43])). 233.47/34.55 cnf(c_0_47, plain, (is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),implies(X1,X4)))), inference(spm,[status(thm)],[c_0_44, c_0_21])). 233.47/34.55 cnf(c_0_48, plain, (is_a_theorem(implies(implies(implies(n(X1),X2),X3),implies(X1,X3)))), inference(spm,[status(thm)],[c_0_45, c_0_21])). 233.47/34.55 cnf(c_0_49, plain, (is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X3),implies(X2,X3)),X4),X4))), inference(spm,[status(thm)],[c_0_35, c_0_22])). 233.47/34.55 cnf(c_0_50, 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_46])). 233.47/34.55 cnf(c_0_51, 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_47])). 233.47/34.55 cnf(c_0_52, plain, (is_a_theorem(implies(implies(implies(n(n(X1)),X2),X1),X1))), inference(spm,[status(thm)],[c_0_32, c_0_48])). 233.47/34.55 cnf(c_0_53, 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_49])). 233.47/34.55 cnf(c_0_54, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X3,X3),X1),X2)))), inference(spm,[status(thm)],[c_0_50, c_0_21])). 233.47/34.55 cnf(c_0_55, 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_48])). 233.47/34.55 cnf(c_0_56, plain, (is_a_theorem(implies(n(n(implies(X1,X2))),implies(X1,X2)))), inference(spm,[status(thm)],[c_0_51, c_0_52])). 233.47/34.55 cnf(c_0_57, plain, (is_a_theorem(implies(implies(implies(X1,X1),implies(implies(X2,X3),X4)),implies(X3,X4)))), inference(spm,[status(thm)],[c_0_53, c_0_54])). 233.47/34.55 cnf(c_0_58, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(implies(n(X2),X4),X3))), inference(spm,[status(thm)],[c_0_30, c_0_48])). 233.47/34.55 cnf(c_0_59, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X2,n(X1)))), inference(spm,[status(thm)],[c_0_55, c_0_29])). 233.47/34.55 cnf(c_0_60, plain, (is_a_theorem(implies(n(n(implies(implies(X1,X1),X2))),X2))), inference(spm,[status(thm)],[c_0_39, c_0_56])). 233.47/34.55 cnf(c_0_61, 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_57])). 233.47/34.55 cnf(c_0_62, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,X4))))|~is_a_theorem(implies(X3,n(X2)))), inference(spm,[status(thm)],[c_0_58, c_0_29])). 233.47/34.55 cnf(c_0_63, plain, (is_a_theorem(implies(X1,implies(n(n(implies(implies(X2,X2),n(X1)))),X3)))), inference(spm,[status(thm)],[c_0_59, c_0_60])). 233.47/34.55 cnf(c_0_64, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X2,n(implies(X4,X1))))), inference(spm,[status(thm)],[c_0_61, c_0_62])). 233.47/34.55 cnf(c_0_65, plain, (is_a_theorem(implies(X1,n(implies(implies(X2,X2),n(X1)))))), inference(spm,[status(thm)],[c_0_32, c_0_63])). 233.47/34.55 cnf(c_0_66, plain, (is_a_theorem(implies(n(X1),implies(X1,X2)))), inference(spm,[status(thm)],[c_0_64, c_0_65])). 233.47/34.55 cnf(c_0_67, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(n(X1),X1),X2)))), inference(spm,[status(thm)],[c_0_28, c_0_21])). 233.47/34.55 cnf(c_0_68, plain, (is_a_theorem(implies(implies(implies(X1,X2),X1),X1))), inference(spm,[status(thm)],[c_0_35, c_0_66])). 233.47/34.55 cnf(c_0_69, plain, (is_a_theorem(implies(X1,implies(implies(n(X2),X2),implies(X3,X2))))), inference(spm,[status(thm)],[c_0_20, c_0_67])). 233.47/34.55 cnf(c_0_70, 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_37, c_0_23])). 233.47/34.55 cnf(c_0_71, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(implies(X2,X3),X2)))), inference(spm,[status(thm)],[c_0_37, c_0_68])). 233.47/34.55 cnf(c_0_72, plain, (is_a_theorem(implies(implies(implies(X1,X1),n(X2)),implies(X2,X3)))), inference(spm,[status(thm)],[c_0_59, c_0_65])). 233.47/34.55 cnf(c_0_73, plain, (is_a_theorem(implies(implies(n(X1),X1),implies(X2,X1)))), inference(spm,[status(thm)],[c_0_14, c_0_69])). 233.47/34.55 cnf(c_0_74, 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_70, c_0_29])). 233.47/34.55 cnf(c_0_75, plain, (is_a_theorem(implies(implies(implies(X1,X1),n(implies(X2,X3))),X2))), inference(spm,[status(thm)],[c_0_71, c_0_72])). 233.47/34.55 cnf(c_0_76, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X1,implies(n(X3),X3)))), inference(spm,[status(thm)],[c_0_37, c_0_73])). 233.47/34.55 cnf(c_0_77, plain, (is_a_theorem(implies(implies(X1,X2),implies(n(implies(X1,X3)),X2)))), inference(spm,[status(thm)],[c_0_74, c_0_75])). 233.47/34.55 cnf(c_0_78, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(implies(n(X3),X3),X3),X2))), inference(spm,[status(thm)],[c_0_30, c_0_26])). 233.47/34.55 cnf(c_0_79, plain, (is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2))))), inference(spm,[status(thm)],[c_0_76, c_0_77])). 233.47/34.55 cnf(c_0_80, plain, (is_a_theorem(implies(implies(implies(X1,X1),X2),X3))|~is_a_theorem(implies(X2,X3))), inference(spm,[status(thm)],[c_0_6, c_0_54])). 233.47/34.55 cnf(c_0_81, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X2,implies(n(X3),X3)))), inference(spm,[status(thm)],[c_0_78, c_0_29])). 233.47/34.55 cnf(c_0_82, plain, (is_a_theorem(implies(X1,implies(X2,implies(implies(X1,X3),X3))))), inference(spm,[status(thm)],[c_0_51, c_0_79])). 233.47/34.55 cnf(c_0_83, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_32, c_0_27])). 233.47/34.55 cnf(c_0_84, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(X2,X2),X3))|~is_a_theorem(implies(X3,X1))), inference(spm,[status(thm)],[c_0_6, c_0_80])). 233.47/34.55 cnf(c_0_85, plain, (is_a_theorem(implies(X1,implies(X2,implies(implies(X2,X3),X3))))), inference(spm,[status(thm)],[c_0_81, c_0_82])). 233.47/34.55 cnf(c_0_86, 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_37, c_0_83])). 233.47/34.55 cnf(c_0_87, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(X2,implies(implies(X2,X3),X3)),X1))), inference(spm,[status(thm)],[c_0_84, c_0_85])). 233.47/34.55 cnf(c_0_88, plain, (is_a_theorem(implies(implies(X1,X2),implies(X1,X3)))|~is_a_theorem(implies(X2,X3))), inference(spm,[status(thm)],[c_0_86, c_0_21])). 233.47/34.55 cnf(c_0_89, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(implies(X1,X3),X3),X2))), inference(spm,[status(thm)],[c_0_87, c_0_88])). 233.47/34.55 cnf(c_0_90, plain, (is_a_theorem(implies(implies(X1,implies(n(X2),X2)),X2))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_32, c_0_83])). 233.47/34.55 cnf(c_0_91, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X2,implies(X1,X3)))), inference(spm,[status(thm)],[c_0_89, c_0_29])). 233.47/34.55 cnf(c_0_92, 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_90])). 233.47/34.55 cnf(c_0_93, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2))))), inference(spm,[status(thm)],[c_0_91, c_0_21])). 233.47/34.55 cnf(c_0_94, plain, (is_a_theorem(X1)|~is_a_theorem(implies(n(X1),X2))|~is_a_theorem(implies(X2,X1))), inference(spm,[status(thm)],[c_0_92, c_0_29])). 233.47/34.55 cnf(c_0_95, plain, (is_a_theorem(implies(n(implies(X1,X2)),implies(X2,X3)))), inference(spm,[status(thm)],[c_0_70, c_0_66])). 233.47/34.55 cnf(c_0_96, plain, (is_a_theorem(implies(X1,implies(implies(X2,implies(X1,X3)),implies(X2,X3))))), inference(spm,[status(thm)],[c_0_89, c_0_93])). 233.47/34.55 cnf(c_0_97, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(X2,X3),implies(X1,X2)))), inference(spm,[status(thm)],[c_0_94, c_0_95])). 233.47/34.55 cnf(c_0_98, plain, (is_a_theorem(implies(X1,implies(n(X2),X3)))|~is_a_theorem(implies(X1,X2))), inference(spm,[status(thm)],[c_0_45, c_0_29])). 233.47/34.55 fof(c_0_99, negated_conjecture, ~(is_a_theorem(implies(implies(n(x),y),implies(implies(x,y),y)))), inference(assume_negation,[status(cth)],[f3])). 233.47/34.55 cnf(c_0_100, plain, (is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(X2,implies(X1,X3))))), inference(spm,[status(thm)],[c_0_91, c_0_96])). 233.47/34.55 cnf(c_0_101, plain, (is_a_theorem(implies(n(X1),X2))|~is_a_theorem(implies(implies(X2,X3),X1))), inference(spm,[status(thm)],[c_0_97, c_0_98])). 233.47/34.55 cnf(c_0_102, plain, (is_a_theorem(implies(implies(n(X1),X1),implies(implies(X1,X2),X2)))), inference(spm,[status(thm)],[c_0_87, c_0_67])). 233.47/34.55 fof(c_0_103, negated_conjecture, ~is_a_theorem(implies(implies(n(x),y),implies(implies(x,y),y))), inference(fof_simplification,[status(thm)],[c_0_99])). 233.47/34.55 cnf(c_0_104, plain, (is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X4),implies(implies(X1,X3),X4)))), inference(spm,[status(thm)],[c_0_74, c_0_100])). 233.47/34.55 cnf(c_0_105, plain, (is_a_theorem(implies(n(implies(implies(X1,X2),X2)),n(X1)))), inference(spm,[status(thm)],[c_0_101, c_0_102])). 233.47/34.55 fof(c_0_106, negated_conjecture, ~is_a_theorem(implies(implies(n(x),y),implies(implies(x,y),y))), inference(fof_nnf,[status(thm)],[c_0_103])). 233.47/34.55 cnf(c_0_107, plain, (is_a_theorem(implies(implies(X1,X2),X3))|~is_a_theorem(implies(implies(X1,implies(X4,X2)),X3))), inference(spm,[status(thm)],[c_0_6, c_0_104])). 233.47/34.55 cnf(c_0_108, plain, (is_a_theorem(implies(implies(n(X1),implies(implies(X1,X2),X2)),implies(implies(X1,X2),X2)))), inference(spm,[status(thm)],[c_0_35, c_0_105])). 233.47/34.55 cnf(c_0_109, negated_conjecture, (~is_a_theorem(implies(implies(n(x),y),implies(implies(x,y),y)))), inference(split_conjunct,[status(thm)],[c_0_106])). 233.47/34.55 cnf(c_0_110, plain, (is_a_theorem(implies(implies(n(X1),X2),implies(implies(X1,X2),X2)))), inference(spm,[status(thm)],[c_0_107, c_0_108])). 233.47/34.55 cnf(c_0_111, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_109, c_0_110])]), ['proof']). 233.47/34.55 % SZS output end CNFRefutation 233.47/34.55 % Parsed axioms : 3 233.47/34.55 % Removed by relevancy pruning/SinE : 0 233.47/34.55 % Initial clauses : 3 233.47/34.55 % Removed in clause preprocessing : 0 233.47/34.55 % Initial clauses in saturation : 3 233.47/34.55 % Processed clauses : 86811 233.47/34.55 % ...of these trivial : 14047 233.47/34.55 % ...subsumed : 66772 233.47/34.55 % ...remaining for further processing : 5992 233.47/34.55 % Other redundant clauses eliminated : 0 233.47/34.55 % Clauses deleted for lack of memory : 0 233.47/34.55 % Backward-subsumed : 26 233.47/34.55 % Backward-rewritten : 90 233.47/34.55 % Generated clauses : 1082381 233.47/34.55 % ...of the previous two non-redundant : 535333 233.47/34.55 % ...aggressively subsumed : 0 233.47/34.55 % Contextual simplify-reflections : 0 233.47/34.55 % Paramodulations : 1082381 233.47/34.55 % Factorizations : 0 233.47/34.55 % NegExts : 0 233.47/34.55 % Equation resolutions : 0 233.47/34.55 % Disequality decompositions : 0 233.47/34.55 % Total rewrite steps : 559631 233.47/34.55 % ...of those cached : 536503 233.47/34.55 % Propositional unsat checks : 0 233.47/34.55 % Propositional check models : 0 233.47/34.55 % Propositional check unsatisfiable : 0 233.47/34.55 % Propositional clauses : 0 233.47/34.55 % Propositional clauses after purity: 0 233.47/34.55 % Propositional unsat core size : 0 233.47/34.55 % Propositional preprocessing time : 0.000 233.47/34.55 % Propositional encoding time : 0.000 233.47/34.55 % Propositional solver time : 0.000 233.47/34.55 % Success case prop preproc time : 0.000 233.47/34.55 % Success case prop encoding time : 0.000 233.47/34.55 % Success case prop solver time : 0.000 233.47/34.55 % Current number of processed clauses : 5876 233.47/34.55 % Positive orientable unit clauses : 4654 233.47/34.55 % Positive unorientable unit clauses: 0 233.47/34.55 % Negative unit clauses : 14 233.47/34.55 % Non-unit-clauses : 1208 233.47/34.55 % Current number of unprocessed clauses: 447562 233.47/34.55 % ...number of literals in the above : 605870 233.47/34.55 % Current number of archived formulas : 0 233.47/34.55 % Current number of archived clauses : 116 233.47/34.55 % Clause-clause subsumption calls (NU) : 1100662 233.47/34.55 % Rec. Clause-clause subsumption calls : 1100662 233.47/34.55 % Non-unit clause-clause subsumptions : 66772 233.47/34.55 % Unit Clause-clause subsumption calls : 6227 233.47/34.55 % Rewrite failures with RHS unbound : 0 233.47/34.55 % BW rewrite match attempts : 4081510 233.47/34.55 % BW rewrite match successes : 90 233.47/34.55 % Condensation attempts : 0 233.47/34.55 % Condensation successes : 0 233.47/34.55 % Termbank termtop insertions : 11829943 233.47/34.55 % Search garbage collected termcells : 19 233.47/34.55 233.47/34.55 % ------------------------------------------------- 233.47/34.55 % User time : 31.129 s 233.47/34.55 % System time : 0.949 s 233.47/34.55 % Total time : 32.078 s 233.47/34.55 % Maximum resident set size: 3652 pages 233.47/34.55 233.47/34.55 % ------------------------------------------------- 233.47/34.55 % User time : 31.132 s 233.47/34.55 % System time : 0.955 s 233.47/34.55 % Total time : 32.087 s 233.47/34.55 % Maximum resident set size: 4608 pages 233.47/34.55 % E exiting 233.47/34.55 EOF