0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.15/0.41 % Computer : n017.cluster.edu 0.15/0.41 % Model : x86_64 x86_64 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.41 % Memory : 8046.5625MB 0.15/0.41 % OS : Linux 6.8.0-71-generic 0.15/0.41 % CPULimit : 1440 0.15/0.41 % WCLimit : 180 0.15/0.41 % DateTime : Mon Jul 27 10:21:37 UTC 2026 0.15/0.41 % CPUTime : 0.15/0.42 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.15/0.48 Running first-order theorem proving 0.15/0.49 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 81.38/10.90 % Version: 3.5.1 81.38/10.90 % Preprocessing class: FSSSSMSSSSSNFFN. 81.38/10.90 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 81.38/10.90 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 900s (5) cores 81.38/10.90 % Starting new_bool_3 with 180s (1) cores 81.38/10.90 % Starting new_bool_1 with 180s (1) cores 81.38/10.90 % Starting sh5l with 180s (1) cores 81.38/10.90 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 1249467 completed with status 0 81.38/10.90 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN 81.38/10.90 % Preprocessing class: FSSSSMSSSSSNFFN. 81.38/10.90 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 81.38/10.90 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 900s (5) cores 81.38/10.90 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 81.38/10.90 % No SInE strategy applied 81.38/10.90 % Search class: FHUNS-FFSF21-MFFFFFNN 81.38/10.90 % Scheduled 7 strats onto 5 cores with 900 seconds (900 total) 81.38/10.90 % Starting SubtermCWHack with 82s (1) cores 81.38/10.90 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 91s (1) cores 81.38/10.90 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 82s (1) cores 81.38/10.90 % Starting H----_011_C07_F1_PI_SE_SP_S0V with 82s (1) cores 81.38/10.90 % Starting new_bool_3 with 82s (1) cores 81.38/10.90 % H----_011_C07_F1_PI_SE_SP_S0V with pid 1249476 completed with status 0 81.38/10.90 % Result found by H----_011_C07_F1_PI_SE_SP_S0V 81.38/10.90 % Preprocessing class: FSSSSMSSSSSNFFN. 81.38/10.90 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 81.38/10.90 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 900s (5) cores 81.38/10.90 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 81.38/10.90 % No SInE strategy applied 81.38/10.90 % Search class: FHUNS-FFSF21-MFFFFFNN 81.38/10.90 % Scheduled 7 strats onto 5 cores with 900 seconds (900 total) 81.38/10.90 % Starting SubtermCWHack with 82s (1) cores 81.38/10.90 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 91s (1) cores 81.38/10.90 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 82s (1) cores 81.38/10.90 % Starting H----_011_C07_F1_PI_SE_SP_S0V with 82s (1) cores 81.38/10.90 % Preprocessing time : 0.002 s 81.38/10.90 81.38/10.90 % Proof found! 81.38/10.90 % SZS status Theorem 81.38/10.90 % SZS output start CNFRefutation 81.38/10.90 fof(condensed_detachment, axiom, ![X1, X2]:((is_a_theorem(X2)<=(is_a_theorem(implies(X1,X2))&is_a_theorem(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', condensed_detachment)). 81.38/10.90 fof(cn_1, axiom, ![X1, X2, X3]:(is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cn_1)). 81.38/10.90 fof(cn_2, axiom, ![X1]:(is_a_theorem(implies(implies(not(X1),X1),X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cn_2)). 81.38/10.90 fof(cn_3, axiom, ![X1, X2]:(is_a_theorem(implies(X1,implies(not(X1),X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cn_3)). 81.38/10.90 fof(prove_cn_32, conjecture, is_a_theorem(implies(implies(implies(x,y),z),implies(implies(x,u),implies(implies(u,z),z)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_cn_32)). 81.38/10.90 fof(c_0_5, plain, ![X1, X2]:(((is_a_theorem(implies(X1,X2))&is_a_theorem(X1))=>is_a_theorem(X2))), inference(fof_simplification,[status(thm)],[condensed_detachment])). 81.38/10.90 fof(c_0_6, plain, ![X7, X8]:((~is_a_theorem(implies(X7,X8))|~is_a_theorem(X7)|is_a_theorem(X8))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])). 81.38/10.90 fof(c_0_7, plain, ![X4, X5, X6]:(is_a_theorem(implies(implies(X4,X5),implies(implies(X5,X6),implies(X4,X6))))), inference(variable_rename,[status(thm)],[cn_1])). 81.38/10.90 cnf(c_0_8, plain, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), inference(split_conjunct,[status(thm)],[c_0_6])). 81.38/10.90 cnf(c_0_9, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))), inference(split_conjunct,[status(thm)],[c_0_7])). 81.38/10.90 cnf(c_0_10, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))|~is_a_theorem(implies(X3,X1))), inference(spm,[status(thm)],[c_0_8, c_0_9])). 81.38/10.90 fof(c_0_11, plain, ![X11]:(is_a_theorem(implies(implies(not(X11),X11),X11))), inference(variable_rename,[status(thm)],[cn_2])). 81.38/10.90 cnf(c_0_12, 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_8, c_0_10])). 81.38/10.90 fof(c_0_13, plain, ![X9, X10]:(is_a_theorem(implies(X9,implies(not(X9),X10)))), inference(variable_rename,[status(thm)],[cn_3])). 81.38/10.90 cnf(c_0_14, plain, (is_a_theorem(implies(implies(not(X1),X1),X1))), inference(split_conjunct,[status(thm)],[c_0_11])). 81.38/10.90 cnf(c_0_15, 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_12, c_0_10])). 81.38/10.90 cnf(c_0_16, plain, (is_a_theorem(implies(X1,implies(not(X1),X2)))), inference(split_conjunct,[status(thm)],[c_0_13])). 81.38/10.90 cnf(c_0_17, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(not(X2),X2)))), inference(spm,[status(thm)],[c_0_12, c_0_14])). 81.38/10.90 cnf(c_0_18, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X2,not(X1)))), inference(spm,[status(thm)],[c_0_15, c_0_16])). 81.38/10.90 cnf(c_0_19, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(not(X2),not(X1)))), inference(spm,[status(thm)],[c_0_17, c_0_18])). 81.38/10.90 cnf(c_0_20, plain, (is_a_theorem(implies(not(X1),X2))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_8, c_0_16])). 81.38/10.90 cnf(c_0_21, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_19, c_0_20])). 81.38/10.90 cnf(c_0_22, plain, (is_a_theorem(implies(X1,implies(not(X2),X3)))|~is_a_theorem(implies(X1,X2))), inference(spm,[status(thm)],[c_0_12, c_0_16])). 81.38/10.90 cnf(c_0_23, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(implies(not(X2),X1))), inference(spm,[status(thm)],[c_0_17, c_0_10])). 81.38/10.90 cnf(c_0_24, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X2,X4))|~is_a_theorem(implies(X4,X3))), inference(spm,[status(thm)],[c_0_15, c_0_21])). 81.38/10.90 cnf(c_0_25, plain, (is_a_theorem(implies(X1,implies(not(X2),X3)))|~is_a_theorem(implies(X1,X4))|~is_a_theorem(implies(X4,X2))), inference(spm,[status(thm)],[c_0_12, c_0_22])). 81.38/10.90 cnf(c_0_26, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(X3,X2)))|~is_a_theorem(implies(not(X2),X3))), inference(spm,[status(thm)],[c_0_12, c_0_23])). 81.38/10.90 cnf(c_0_27, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(implies(not(X2),X4),X3))), inference(spm,[status(thm)],[c_0_24, c_0_16])). 81.38/10.90 cnf(c_0_28, plain, (is_a_theorem(implies(implies(not(implies(not(X1),X1)),implies(not(X1),X1)),X1))), inference(spm,[status(thm)],[c_0_17, c_0_14])). 81.38/10.90 cnf(c_0_29, plain, (is_a_theorem(implies(implies(not(X1),X1),implies(not(X2),X3)))|~is_a_theorem(implies(X1,X2))), inference(spm,[status(thm)],[c_0_25, c_0_14])). 81.38/10.90 cnf(c_0_30, plain, (is_a_theorem(implies(implies(X1,X2),implies(X1,X3)))|~is_a_theorem(implies(not(implies(X1,X3)),implies(X2,X3)))), inference(spm,[status(thm)],[c_0_26, c_0_9])). 81.38/10.90 cnf(c_0_31, plain, (is_a_theorem(implies(X1,implies(implies(not(X2),X2),X2)))), inference(spm,[status(thm)],[c_0_27, c_0_28])). 81.38/10.90 cnf(c_0_32, plain, (is_a_theorem(X1)|~is_a_theorem(implies(not(X1),X1))), inference(spm,[status(thm)],[c_0_8, c_0_14])). 81.38/10.90 cnf(c_0_33, plain, (is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,X3))))|~is_a_theorem(implies(X1,implies(X4,X2)))), inference(spm,[status(thm)],[c_0_12, c_0_9])). 81.38/10.90 cnf(c_0_34, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X4,X3))|~is_a_theorem(X4)), inference(spm,[status(thm)],[c_0_24, c_0_21])). 81.38/10.90 cnf(c_0_35, plain, (is_a_theorem(implies(implies(not(X1),X1),X2))|~is_a_theorem(implies(X1,X2))), inference(spm,[status(thm)],[c_0_17, c_0_29])). 81.38/10.90 cnf(c_0_36, plain, (is_a_theorem(implies(implies(X1,X2),implies(not(X3),X4)))|~is_a_theorem(implies(implies(implies(X2,X5),implies(X1,X5)),X3))), inference(spm,[status(thm)],[c_0_25, c_0_9])). 81.38/10.90 cnf(c_0_37, plain, (is_a_theorem(implies(implies(X1,implies(not(X2),X2)),implies(X1,X2)))), inference(spm,[status(thm)],[c_0_30, c_0_31])). 81.38/10.90 cnf(c_0_38, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))|~is_a_theorem(implies(not(implies(implies(X1,X2),implies(X3,X2))),implies(X3,X1)))), inference(spm,[status(thm)],[c_0_32, c_0_33])). 81.38/10.90 cnf(c_0_39, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(not(X3),X3))), inference(spm,[status(thm)],[c_0_34, c_0_14])). 81.38/10.90 cnf(c_0_40, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(not(X3),X3)))|~is_a_theorem(implies(X3,X2))), inference(spm,[status(thm)],[c_0_12, c_0_35])). 81.38/10.90 cnf(c_0_41, plain, (is_a_theorem(implies(implies(not(X1),X2),implies(not(implies(implies(X2,X1),X1)),X3)))), inference(spm,[status(thm)],[c_0_36, c_0_37])). 81.38/10.90 cnf(c_0_42, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))|~is_a_theorem(implies(not(X1),X1))), inference(spm,[status(thm)],[c_0_38, c_0_39])). 81.38/10.90 cnf(c_0_43, plain, (is_a_theorem(implies(X1,implies(X2,X2)))), inference(spm,[status(thm)],[c_0_27, c_0_14])). 81.38/10.90 cnf(c_0_44, plain, (is_a_theorem(implies(X1,X1))), inference(spm,[status(thm)],[c_0_17, c_0_16])). 81.38/10.90 cnf(c_0_45, plain, (is_a_theorem(implies(implies(not(X1),X2),X3))|~is_a_theorem(implies(implies(implies(X2,X1),X1),X3))), inference(spm,[status(thm)],[c_0_40, c_0_41])). 81.38/10.90 cnf(c_0_46, plain, (is_a_theorem(implies(implies(implies(X1,X1),X2),implies(X3,X2)))), inference(spm,[status(thm)],[c_0_42, c_0_43])). 81.38/10.90 cnf(c_0_47, plain, (is_a_theorem(implies(X1,implies(X2,implies(not(X2),X3))))), inference(spm,[status(thm)],[c_0_27, c_0_44])). 81.38/10.90 cnf(c_0_48, plain, (is_a_theorem(implies(X1,implies(not(X2),X3)))|~is_a_theorem(implies(implies(not(X1),X4),X2))), inference(spm,[status(thm)],[c_0_25, c_0_16])). 81.38/10.90 cnf(c_0_49, plain, (is_a_theorem(implies(implies(not(X1),X1),implies(X2,X1)))), inference(spm,[status(thm)],[c_0_45, c_0_46])). 81.38/10.90 cnf(c_0_50, plain, (is_a_theorem(implies(implies(implies(not(X1),X2),X3),implies(X1,X3)))), inference(spm,[status(thm)],[c_0_38, c_0_47])). 81.38/10.90 cnf(c_0_51, plain, (is_a_theorem(X1)|~is_a_theorem(implies(not(X1),X2))|~is_a_theorem(implies(X2,X1))), inference(spm,[status(thm)],[c_0_8, c_0_23])). 81.38/10.90 cnf(c_0_52, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_34, c_0_44])). 81.38/10.90 cnf(c_0_53, plain, (is_a_theorem(implies(X1,implies(not(implies(X2,X1)),X3)))), inference(spm,[status(thm)],[c_0_48, c_0_49])). 81.38/10.90 cnf(c_0_54, plain, (is_a_theorem(implies(implies(implies(not(not(X1)),X2),X1),X1))), inference(spm,[status(thm)],[c_0_17, c_0_50])). 81.38/10.90 cnf(c_0_55, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(X2,X3),X1))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_51, c_0_52])). 81.38/10.90 cnf(c_0_56, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(X3,X1),X2))), inference(spm,[status(thm)],[c_0_40, c_0_53])). 81.38/10.90 cnf(c_0_57, plain, (is_a_theorem(implies(implies(not(X1),not(not(X1))),X1))), inference(spm,[status(thm)],[c_0_45, c_0_54])). 81.38/10.90 cnf(c_0_58, plain, (is_a_theorem(implies(not(X1),X2))|~is_a_theorem(implies(X3,X1))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_8, c_0_22])). 81.38/10.90 cnf(c_0_59, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_55, c_0_9])). 81.38/10.90 cnf(c_0_60, plain, (is_a_theorem(implies(not(not(X1)),X1))), inference(spm,[status(thm)],[c_0_56, c_0_57])). 81.38/10.90 cnf(c_0_61, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(not(X1))), inference(spm,[status(thm)],[c_0_19, c_0_21])). 81.38/10.90 cnf(c_0_62, plain, (is_a_theorem(implies(not(X1),X2))|~is_a_theorem(implies(not(X1),X1))), inference(spm,[status(thm)],[c_0_58, c_0_14])). 81.38/10.90 fof(c_0_63, negated_conjecture, ~(is_a_theorem(implies(implies(implies(x,y),z),implies(implies(x,u),implies(implies(u,z),z))))), inference(assume_negation,[status(cth)],[prove_cn_32])). 81.38/10.90 cnf(c_0_64, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_17, c_0_59])). 81.38/10.90 cnf(c_0_65, plain, (is_a_theorem(implies(implies(X1,implies(not(X2),X2)),X2))|~is_a_theorem(implies(not(implies(not(X2),X2)),X1))), inference(spm,[status(thm)],[c_0_17, c_0_23])). 81.38/10.90 cnf(c_0_66, plain, (is_a_theorem(implies(X1,not(not(X1))))), inference(spm,[status(thm)],[c_0_19, c_0_60])). 81.38/10.90 cnf(c_0_67, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(not(X2),X3),X1))|~is_a_theorem(implies(not(X1),X2))), inference(spm,[status(thm)],[c_0_51, c_0_22])). 81.38/10.90 cnf(c_0_68, plain, (is_a_theorem(implies(implies(not(X1),X1),X2))|~is_a_theorem(implies(X1,implies(not(X2),X2)))), inference(spm,[status(thm)],[c_0_17, c_0_35])). 81.38/10.90 cnf(c_0_69, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(not(not(X3)))), inference(spm,[status(thm)],[c_0_39, c_0_61])). 81.38/10.90 cnf(c_0_70, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(not(X2),X2))), inference(spm,[status(thm)],[c_0_19, c_0_62])). 81.38/10.90 cnf(c_0_71, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(not(X2),X3))|~is_a_theorem(implies(X3,X2))), inference(spm,[status(thm)],[c_0_26, c_0_21])). 81.38/10.90 fof(c_0_72, negated_conjecture, ~is_a_theorem(implies(implies(implies(x,y),z),implies(implies(x,u),implies(implies(u,z),z)))), inference(fof_simplification,[status(thm)],[c_0_63])). 81.38/10.90 cnf(c_0_73, 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_12, c_0_64])). 81.38/10.90 cnf(c_0_74, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(X3,implies(not(X2),X2))))|~is_a_theorem(implies(not(implies(not(X2),X2)),X3))), inference(spm,[status(thm)],[c_0_12, c_0_65])). 81.38/10.90 cnf(c_0_75, plain, (is_a_theorem(implies(implies(X1,X2),implies(X1,implies(not(X2),X3))))), inference(spm,[status(thm)],[c_0_30, c_0_47])). 81.38/10.90 cnf(c_0_76, plain, (is_a_theorem(implies(X1,not(not(implies(X2,X1)))))), inference(spm,[status(thm)],[c_0_56, c_0_66])). 81.38/10.90 cnf(c_0_77, plain, (is_a_theorem(X1)|~is_a_theorem(implies(X2,implies(not(X1),X1)))|~is_a_theorem(implies(not(X1),X2))), inference(spm,[status(thm)],[c_0_67, c_0_68])). 81.38/10.90 cnf(c_0_78, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))|~is_a_theorem(not(not(X1)))), inference(spm,[status(thm)],[c_0_38, c_0_69])). 81.38/10.90 cnf(c_0_79, plain, (is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,X3))))|~is_a_theorem(implies(not(implies(implies(X2,X3),implies(X4,X3))),implies(X4,X2)))), inference(spm,[status(thm)],[c_0_70, c_0_33])). 81.38/10.90 cnf(c_0_80, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,not(X3)))|~is_a_theorem(implies(not(X3),X3))), inference(spm,[status(thm)],[c_0_12, c_0_62])). 81.38/10.90 cnf(c_0_81, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X3,X2))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_71, c_0_21])). 81.38/10.90 fof(c_0_82, negated_conjecture, ~is_a_theorem(implies(implies(implies(x,y),z),implies(implies(x,u),implies(implies(u,z),z)))), inference(fof_nnf,[status(thm)],[c_0_72])). 81.38/10.90 cnf(c_0_83, plain, (is_a_theorem(implies(implies(X1,X2),implies(X1,X3)))|~is_a_theorem(implies(X2,X3))), inference(spm,[status(thm)],[c_0_73, c_0_9])). 81.38/10.90 cnf(c_0_84, plain, (is_a_theorem(implies(X1,implies(not(implies(not(X1),X2)),X3)))), inference(spm,[status(thm)],[c_0_48, c_0_44])). 81.38/10.90 cnf(c_0_85, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(implies(not(implies(not(X2),X2)),X1))), inference(spm,[status(thm)],[c_0_74, c_0_75])). 81.38/10.90 cnf(c_0_86, plain, (is_a_theorem(implies(not(implies(X1,not(X2))),X2))), inference(spm,[status(thm)],[c_0_19, c_0_76])). 81.38/10.90 cnf(c_0_87, plain, (is_a_theorem(X1)|~is_a_theorem(implies(not(X1),implies(X2,X1)))|~is_a_theorem(not(not(X2)))), inference(spm,[status(thm)],[c_0_77, c_0_78])). 81.38/10.90 cnf(c_0_88, plain, (is_a_theorem(implies(X1,implies(implies(X2,X3),implies(implies(not(X2),X2),X3))))), inference(spm,[status(thm)],[c_0_79, c_0_31])). 81.38/10.90 cnf(c_0_89, plain, (is_a_theorem(implies(implies(not(not(X1)),not(X1)),X2))|~is_a_theorem(implies(not(X1),X1))), inference(spm,[status(thm)],[c_0_80, c_0_14])). 81.38/10.90 cnf(c_0_90, plain, (is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,X3))))|~is_a_theorem(implies(X4,X2))), inference(spm,[status(thm)],[c_0_81, c_0_9])). 81.38/10.90 cnf(c_0_91, plain, (is_a_theorem(implies(implies(not(X1),X2),implies(implies(X2,X1),X1)))), inference(spm,[status(thm)],[c_0_17, c_0_41])). 81.38/10.90 cnf(c_0_92, negated_conjecture, (~is_a_theorem(implies(implies(implies(x,y),z),implies(implies(x,u),implies(implies(u,z),z))))), inference(split_conjunct,[status(thm)],[c_0_82])). 81.38/10.90 cnf(c_0_93, plain, (is_a_theorem(implies(implies(X1,X2),X3))|~is_a_theorem(implies(not(X3),X1))|~is_a_theorem(implies(X2,X3))), inference(spm,[status(thm)],[c_0_26, c_0_83])). 81.38/10.90 cnf(c_0_94, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(not(X1),X3),X2))), inference(spm,[status(thm)],[c_0_40, c_0_84])). 81.38/10.90 cnf(c_0_95, plain, (is_a_theorem(implies(implies(X1,not(X1)),not(X1)))), inference(spm,[status(thm)],[c_0_85, c_0_86])). 81.38/10.90 cnf(c_0_96, plain, (is_a_theorem(implies(implies(not(X1),X1),X2))|~is_a_theorem(not(not(implies(X1,X2))))), inference(spm,[status(thm)],[c_0_87, c_0_88])). 81.38/10.90 cnf(c_0_97, plain, (is_a_theorem(X1)|~is_a_theorem(implies(not(X1),not(X2)))|~is_a_theorem(implies(not(X2),X2))), inference(spm,[status(thm)],[c_0_67, c_0_89])). 81.38/10.90 cnf(c_0_98, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,X4))))|~is_a_theorem(implies(X2,implies(X5,X4)))|~is_a_theorem(implies(X3,X5))), inference(spm,[status(thm)],[c_0_15, c_0_90])). 81.38/10.90 cnf(c_0_99, plain, (is_a_theorem(implies(X1,implies(implies(X1,X2),X2)))), inference(spm,[status(thm)],[c_0_56, c_0_91])). 81.38/10.90 cnf(c_0_100, negated_conjecture, (~is_a_theorem(implies(not(implies(implies(x,u),implies(implies(u,z),z))),implies(x,y)))|~is_a_theorem(implies(z,implies(implies(x,u),implies(implies(u,z),z))))), inference(spm,[status(thm)],[c_0_92, c_0_93])). 81.38/10.90 cnf(c_0_101, plain, (is_a_theorem(implies(X1,implies(X2,X1)))), inference(spm,[status(thm)],[c_0_94, c_0_49])). 81.38/10.90 cnf(c_0_102, plain, (is_a_theorem(implies(X1,not(X2)))|~is_a_theorem(implies(X1,implies(X2,not(X2))))), inference(spm,[status(thm)],[c_0_12, c_0_95])). 81.38/10.90 cnf(c_0_103, plain, (is_a_theorem(implies(X1,implies(not(X2),X3)))|~is_a_theorem(not(not(implies(X1,X2))))), inference(spm,[status(thm)],[c_0_48, c_0_96])). 81.38/10.90 cnf(c_0_104, plain, (is_a_theorem(not(not(X1)))|~is_a_theorem(implies(not(X1),X1))), inference(spm,[status(thm)],[c_0_97, c_0_60])). 81.38/10.90 cnf(c_0_105, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,X4))))|~is_a_theorem(implies(X3,implies(X2,X4)))), inference(spm,[status(thm)],[c_0_98, c_0_99])). 81.38/10.90 cnf(c_0_106, negated_conjecture, (~is_a_theorem(implies(x,not(not(implies(implies(x,u),implies(implies(u,z),z))))))|~is_a_theorem(implies(z,implies(implies(x,u),implies(implies(u,z),z))))), inference(spm,[status(thm)],[c_0_100, c_0_18])). 81.38/10.90 cnf(c_0_107, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,X1))))), inference(spm,[status(thm)],[c_0_56, c_0_101])). 81.38/10.90 cnf(c_0_108, plain, (is_a_theorem(implies(X1,not(not(X2))))|~is_a_theorem(not(not(implies(X1,X2))))), inference(spm,[status(thm)],[c_0_102, c_0_103])). 81.38/10.90 cnf(c_0_109, plain, (is_a_theorem(not(not(implies(X1,implies(X2,X3)))))|~is_a_theorem(implies(X2,implies(X1,X3)))), inference(spm,[status(thm)],[c_0_104, c_0_105])). 81.38/10.90 cnf(c_0_110, negated_conjecture, (~is_a_theorem(implies(x,not(not(implies(implies(x,u),implies(implies(u,z),z))))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106, c_0_107])])). 81.38/10.90 cnf(c_0_111, plain, (is_a_theorem(implies(X1,not(not(implies(X2,X3)))))|~is_a_theorem(implies(X2,implies(X1,X3)))), inference(spm,[status(thm)],[c_0_108, c_0_109])). 81.38/10.90 cnf(c_0_112, negated_conjecture, (~is_a_theorem(implies(implies(x,u),implies(x,implies(implies(u,z),z))))), inference(spm,[status(thm)],[c_0_110, c_0_111])). 81.38/10.90 cnf(c_0_113, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,X4)))|~is_a_theorem(implies(X3,X1))|~is_a_theorem(implies(X2,X4))), inference(spm,[status(thm)],[c_0_15, c_0_83])). 81.38/10.90 cnf(c_0_114, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112, c_0_113]), c_0_44]), c_0_99])]), ['proof']). 81.38/10.90 % SZS output end CNFRefutation 81.38/10.90 % Parsed axioms : 5 81.38/10.90 % Removed by relevancy pruning/SinE : 0 81.38/10.90 % Initial clauses : 5 81.38/10.90 % Removed in clause preprocessing : 0 81.38/10.90 % Initial clauses in saturation : 5 81.38/10.90 % Processed clauses : 76950 81.38/10.90 % ...of these trivial : 772 81.38/10.90 % ...subsumed : 71391 81.38/10.90 % ...remaining for further processing : 4787 81.38/10.90 % Other redundant clauses eliminated : 0 81.38/10.90 % Clauses deleted for lack of memory : 0 81.38/10.90 % Backward-subsumed : 1766 81.38/10.90 % Backward-rewritten : 114 81.38/10.90 % Generated clauses : 397956 81.38/10.90 % ...of the previous two non-redundant : 381039 81.38/10.90 % ...aggressively subsumed : 0 81.38/10.90 % Contextual simplify-reflections : 0 81.38/10.90 % Paramodulations : 397956 81.38/10.90 % Factorizations : 0 81.38/10.90 % NegExts : 0 81.38/10.90 % Equation resolutions : 0 81.38/10.90 % Disequality decompositions : 0 81.38/10.90 % Total rewrite steps : 19375 81.38/10.90 % ...of those cached : 17519 81.38/10.90 % Propositional unsat checks : 0 81.38/10.90 % Propositional check models : 0 81.38/10.90 % Propositional check unsatisfiable : 0 81.38/10.90 % Propositional clauses : 0 81.38/10.90 % Propositional clauses after purity: 0 81.38/10.90 % Propositional unsat core size : 0 81.38/10.90 % Propositional preprocessing time : 0.000 81.38/10.90 % Propositional encoding time : 0.000 81.38/10.90 % Propositional solver time : 0.000 81.38/10.90 % Success case prop preproc time : 0.000 81.38/10.90 % Success case prop encoding time : 0.000 81.38/10.90 % Success case prop solver time : 0.000 81.38/10.90 % Current number of processed clauses : 2907 81.38/10.90 % Positive orientable unit clauses : 407 81.38/10.90 % Positive unorientable unit clauses: 0 81.38/10.90 % Negative unit clauses : 720 81.38/10.90 % Non-unit-clauses : 1780 81.38/10.90 % Current number of unprocessed clauses: 303501 81.38/10.90 % ...number of literals in the above : 1041768 81.38/10.90 % Current number of archived formulas : 0 81.38/10.90 % Current number of archived clauses : 1880 81.38/10.90 % Clause-clause subsumption calls (NU) : 4036025 81.38/10.90 % Rec. Clause-clause subsumption calls : 1974723 81.38/10.90 % Non-unit clause-clause subsumptions : 47533 81.38/10.90 % Unit Clause-clause subsumption calls : 127053 81.38/10.90 % Rewrite failures with RHS unbound : 0 81.38/10.90 % BW rewrite match attempts : 107445 81.38/10.90 % BW rewrite match successes : 26 81.38/10.90 % Condensation attempts : 0 81.38/10.90 % Condensation successes : 0 81.38/10.90 % Termbank termtop insertions : 5956861 81.38/10.90 % Search garbage collected termcells : 19 81.38/10.90 81.38/10.90 % ------------------------------------------------- 81.38/10.90 % User time : 9.788 s 81.38/10.90 % System time : 0.288 s 81.38/10.90 % Total time : 10.077 s 81.38/10.90 % Maximum resident set size: 3636 pages 81.38/10.90 81.38/10.90 % ------------------------------------------------- 81.38/10.90 % User time : 49.162 s 81.38/10.90 % System time : 1.650 s 81.38/10.90 % Total time : 50.812 s 81.38/10.90 % Maximum resident set size: 4864 pages 81.38/10.90 % E exiting 81.38/10.90 EOF