0.00/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.09/0.10 % Command : run_E %s %d THM 0.09/0.31 % Computer : n016.cluster.edu 0.09/0.31 % Model : x86_64 x86_64 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.31 % Memory : 8042.1875MB 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.31 % CPULimit : 960 0.09/0.31 % WCLimit : 120 0.09/0.31 % DateTime : Tue Aug 9 06:36:42 EDT 2022 0.09/0.31 % CPUTime : 0.15/0.42 Running first-order on 8 cores theorem proving 0.15/0.42 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=120 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.15/0.42 # Version: 3.0pre003 631.74/81.74 # Preprocessing class: FSMSSMSSSSSNFFN. 631.74/81.74 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 631.74/81.74 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 600s (5) cores 631.74/81.74 # Starting new_bool_3 with 120s (1) cores 631.74/81.74 # Starting new_bool_1 with 120s (1) cores 631.74/81.74 # Starting sh5l with 120s (1) cores 631.74/81.74 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 23587 completed with status 0 631.74/81.74 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN 631.74/81.74 # Preprocessing class: FSMSSMSSSSSNFFN. 631.74/81.74 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 631.74/81.74 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 600s (5) cores 631.74/81.74 # No SInE strategy applied 631.74/81.74 # Search class: FHUSM-FFSF21-MFFFFFNN 631.74/81.74 # Scheduled 11 strats onto 5 cores with 600 seconds (600 total) 631.74/81.74 # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 55s (1) cores 631.74/81.74 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 61s (1) cores 631.74/81.74 # Starting G-E--_092_C01_F1_AE_CS_SP_PS_CO_S0Y with 55s (1) cores 631.74/81.74 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 55s (1) cores 631.74/81.74 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2U with 55s (1) cores 631.74/81.74 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 23597 completed with status 7 631.74/81.74 # Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S5PRR_S04AN with 55s (1) cores 631.74/81.74 # G-E--_092_C01_F1_AE_CS_SP_PS_CO_S0Y with pid 23596 completed with status 7 631.74/81.74 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_RG_S04AN with 55s (1) cores 631.74/81.74 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 23595 completed with status 7 631.74/81.74 # Starting G-E--_201_C45_F1_AE_CS_SP_PI_S0Y with 55s (1) cores 631.74/81.74 # G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 23594 completed with status 7 631.74/81.74 # Starting G----_0017_C18_F1_SE_CS_SP_S4Y with 55s (1) cores 631.74/81.74 # G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2U with pid 23598 completed with status 7 631.74/81.74 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 55s (1) cores 631.74/81.74 # G----_0017_C18_F1_SE_CS_SP_S4Y with pid 24219 completed with status 0 631.74/81.74 # Result found by G----_0017_C18_F1_SE_CS_SP_S4Y 631.74/81.74 # Preprocessing class: FSMSSMSSSSSNFFN. 631.74/81.74 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 631.74/81.74 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 600s (5) cores 631.74/81.74 # No SInE strategy applied 631.74/81.74 # Search class: FHUSM-FFSF21-MFFFFFNN 631.74/81.74 # Scheduled 11 strats onto 5 cores with 600 seconds (600 total) 631.74/81.74 # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 55s (1) cores 631.74/81.74 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 61s (1) cores 631.74/81.74 # Starting G-E--_092_C01_F1_AE_CS_SP_PS_CO_S0Y with 55s (1) cores 631.74/81.74 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 55s (1) cores 631.74/81.74 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2U with 55s (1) cores 631.74/81.74 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 23597 completed with status 7 631.74/81.74 # Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S5PRR_S04AN with 55s (1) cores 631.74/81.74 # G-E--_092_C01_F1_AE_CS_SP_PS_CO_S0Y with pid 23596 completed with status 7 631.74/81.74 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_RG_S04AN with 55s (1) cores 631.74/81.74 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 23595 completed with status 7 631.74/81.74 # Starting G-E--_201_C45_F1_AE_CS_SP_PI_S0Y with 55s (1) cores 631.74/81.74 # G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 23594 completed with status 7 631.74/81.74 # Starting G----_0017_C18_F1_SE_CS_SP_S4Y with 55s (1) cores 631.74/81.74 # Preprocessing time : 0.001 s 631.74/81.74 631.74/81.74 # Proof found! 631.74/81.74 # SZS status Theorem 631.74/81.74 # SZS output start CNFRefutation 631.74/81.74 tff(decl_22, type, leq: ($i * $i) > $o). 631.74/81.74 tff(decl_23, type, addition: ($i * $i) > $i). 631.74/81.74 tff(decl_24, type, one: $i). 631.74/81.74 tff(decl_25, type, star: $i > $i). 631.74/81.74 tff(decl_26, type, multiplication: ($i * $i) > $i). 631.74/81.74 tff(decl_27, type, zero: $i). 631.74/81.74 tff(decl_28, type, a: $i). 631.74/81.74 tff(decl_29, type, b: $i). 631.74/81.74 tff(decl_30, type, sigma: $i). 631.74/81.74 fof(star_induction_right, axiom, ![X1, X2, X3]:((leq(addition(multiplication(X1,X2),X3),X1)=>leq(multiplication(X3,star(X2)),X1))), file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax', star_induction_right)). 631.74/81.74 fof(multiplicative_right_identity, axiom, ![X1]:(multiplication(X1,one)=X1), file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax', multiplicative_right_identity)). 631.74/81.74 fof(additive_associativity, axiom, ![X3, X2, X1]:(addition(addition(X1,X2),X3)=addition(X1,addition(X2,X3))), file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax', additive_associativity)). 631.74/81.74 fof(additive_idempotence, axiom, ![X1]:(addition(X1,X1)=X1), file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax', additive_idempotence)). 631.74/81.74 fof(order, axiom, ![X1, X2]:((leq(X1,X2)<=>X2=addition(X1,X2))), file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax', order)). 631.74/81.74 fof(star_unfold_right, axiom, ![X1]:(leq(addition(one,multiplication(X1,star(X1))),star(X1))), file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax', star_unfold_right)). 631.74/81.74 fof(additive_commutativity, axiom, ![X1, X2]:(addition(X1,X2)=addition(X2,X1)), file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax', additive_commutativity)). 631.74/81.74 fof(right_distributivity, axiom, ![X1, X2, X3]:(multiplication(X1,addition(X2,X3))=addition(multiplication(X1,X2),multiplication(X1,X3))), file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax', right_distributivity)). 631.74/81.74 fof(additive_identity, axiom, ![X1]:(addition(X1,zero)=X1), file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax', additive_identity)). 631.74/81.74 fof(right_annihilation, axiom, ![X1]:(multiplication(X1,zero)=zero), file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax', right_annihilation)). 631.74/81.74 fof(multiplicative_left_identity, axiom, ![X1]:(X1=multiplication(one,X1)), file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax', multiplicative_left_identity)). 631.74/81.74 fof(left_annihilation, axiom, ![X1]:(multiplication(zero,X1)=zero), file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax', left_annihilation)). 631.74/81.74 fof(star_induction_left, axiom, ![X1, X2, X3]:((leq(addition(multiplication(X1,X2),X3),X2)=>leq(multiplication(star(X1),X3),X2))), file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax', star_induction_left)). 631.74/81.74 fof(left_distributivity, axiom, ![X1, X2, X3]:(addition(multiplication(X1,X3),multiplication(X2,X3))=multiplication(addition(X1,X2),X3)), file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax', left_distributivity)). 631.74/81.74 fof(a, conjecture, leq(multiplication(a,multiplication(b,a)),multiplication(star(sigma),multiplication(a,multiplication(sigma,a)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', a)). 631.74/81.74 fof(an, axiom, sigma=addition(a,b), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', an)). 631.74/81.74 fof(c_0_16, plain, ![X24, X25, X26]:((~leq(addition(multiplication(X24,X25),X26),X24)|leq(multiplication(X26,star(X25)),X24))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[star_induction_right])])). 631.74/81.74 fof(c_0_17, plain, ![X31]:(multiplication(X31,one)=X31), inference(variable_rename,[status(thm)],[multiplicative_right_identity])). 631.74/81.74 fof(c_0_18, plain, ![X13, X14, X15]:(addition(addition(X15,X14),X13)=addition(X15,addition(X14,X13))), inference(variable_rename,[status(thm)],[additive_associativity])). 631.74/81.74 fof(c_0_19, plain, ![X22]:(addition(X22,X22)=X22), inference(variable_rename,[status(thm)],[additive_idempotence])). 631.74/81.74 fof(c_0_20, plain, ![X4, X5]:(((~leq(X4,X5)|X5=addition(X4,X5))&(X5!=addition(X4,X5)|leq(X4,X5)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[order])])). 631.74/81.74 fof(c_0_21, plain, ![X6]:(leq(addition(one,multiplication(X6,star(X6))),star(X6))), inference(variable_rename,[status(thm)],[star_unfold_right])). 631.74/81.74 fof(c_0_22, plain, ![X16, X17]:(addition(X16,X17)=addition(X17,X16)), inference(variable_rename,[status(thm)],[additive_commutativity])). 631.74/81.74 cnf(c_0_23, plain, (leq(multiplication(X3,star(X2)),X1)|~leq(addition(multiplication(X1,X2),X3),X1)), inference(split_conjunct,[status(thm)],[c_0_16])). 631.74/81.74 cnf(c_0_24, plain, (multiplication(X1,one)=X1), inference(split_conjunct,[status(thm)],[c_0_17])). 631.74/81.74 fof(c_0_25, plain, ![X19, X20, X21]:(multiplication(X19,addition(X20,X21))=addition(multiplication(X19,X20),multiplication(X19,X21))), inference(variable_rename,[status(thm)],[right_distributivity])). 631.74/81.74 cnf(c_0_26, plain, (addition(addition(X1,X2),X3)=addition(X1,addition(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_18])). 631.74/81.74 cnf(c_0_27, plain, (addition(X1,X1)=X1), inference(split_conjunct,[status(thm)],[c_0_19])). 631.74/81.74 cnf(c_0_28, plain, (X2=addition(X1,X2)|~leq(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_20])). 631.74/81.74 cnf(c_0_29, plain, (leq(addition(one,multiplication(X1,star(X1))),star(X1))), inference(split_conjunct,[status(thm)],[c_0_21])). 631.74/81.74 cnf(c_0_30, plain, (addition(X1,X2)=addition(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_22])). 631.74/81.74 cnf(c_0_31, plain, (leq(multiplication(X1,star(one)),X2)|~leq(addition(X2,X1),X2)), inference(spm,[status(thm)],[c_0_23, c_0_24])). 631.74/81.74 cnf(c_0_32, plain, (multiplication(X1,addition(X2,X3))=addition(multiplication(X1,X2),multiplication(X1,X3))), inference(split_conjunct,[status(thm)],[c_0_25])). 631.74/81.74 cnf(c_0_33, plain, (addition(X1,addition(X1,X2))=addition(X1,X2)), inference(spm,[status(thm)],[c_0_26, c_0_27])). 631.74/81.74 cnf(c_0_34, plain, (addition(one,addition(star(X1),multiplication(X1,star(X1))))=star(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_26]), c_0_30])). 631.74/81.74 cnf(c_0_35, plain, (leq(multiplication(X1,star(one)),X1)|~leq(X1,X1)), inference(spm,[status(thm)],[c_0_31, c_0_27])). 631.74/81.74 cnf(c_0_36, plain, (addition(X1,multiplication(X1,X2))=multiplication(X1,addition(X2,one))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_24]), c_0_30])). 631.74/81.74 cnf(c_0_37, plain, (addition(one,star(X1))=star(X1)), inference(spm,[status(thm)],[c_0_33, c_0_34])). 631.74/81.74 cnf(c_0_38, plain, (multiplication(X1,star(one))=X1|~leq(X1,X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_35]), c_0_30]), c_0_36]), c_0_30]), c_0_37])). 631.74/81.74 cnf(c_0_39, plain, (leq(X2,X1)|X1!=addition(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_20])). 631.74/81.74 fof(c_0_40, plain, ![X27]:(addition(X27,zero)=X27), inference(variable_rename,[status(thm)],[additive_identity])). 631.74/81.74 cnf(c_0_41, plain, (leq(multiplication(X1,star(one)),X2)|~leq(addition(X1,X2),X2)), inference(spm,[status(thm)],[c_0_31, c_0_30])). 631.74/81.74 cnf(c_0_42, plain, (multiplication(X1,star(one))=X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_39]), c_0_27])])). 631.74/81.74 fof(c_0_43, plain, ![X18]:(multiplication(X18,zero)=zero), inference(variable_rename,[status(thm)],[right_annihilation])). 631.74/81.74 cnf(c_0_44, plain, (addition(X1,zero)=X1), inference(split_conjunct,[status(thm)],[c_0_40])). 631.74/81.74 cnf(c_0_45, plain, (leq(X1,X2)|~leq(addition(X1,X2),X2)), inference(rw,[status(thm)],[c_0_41, c_0_42])). 631.74/81.74 cnf(c_0_46, plain, (multiplication(X1,zero)=zero), inference(split_conjunct,[status(thm)],[c_0_43])). 631.74/81.74 cnf(c_0_47, plain, (addition(zero,X1)=X1), inference(spm,[status(thm)],[c_0_44, c_0_30])). 631.74/81.74 fof(c_0_48, plain, ![X23]:(X23=multiplication(one,X23)), inference(variable_rename,[status(thm)],[multiplicative_left_identity])). 631.74/81.74 cnf(c_0_49, plain, (leq(addition(X1,X2),X3)|~leq(addition(X1,addition(X2,X3)),X3)), inference(spm,[status(thm)],[c_0_45, c_0_26])). 631.74/81.74 cnf(c_0_50, plain, (addition(X1,addition(X2,X1))=addition(X2,X1)), inference(spm,[status(thm)],[c_0_33, c_0_30])). 631.74/81.74 fof(c_0_51, plain, ![X33]:(multiplication(zero,X33)=zero), inference(variable_rename,[status(thm)],[left_annihilation])). 631.74/81.74 cnf(c_0_52, plain, (leq(multiplication(X1,star(zero)),X2)|~leq(X1,X2)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_46]), c_0_47])). 631.74/81.74 cnf(c_0_53, plain, (X1=multiplication(one,X1)), inference(split_conjunct,[status(thm)],[c_0_48])). 631.74/81.74 cnf(c_0_54, plain, (leq(addition(X1,X2),X1)|~leq(addition(X2,X1),X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_27]), c_0_26]), c_0_50])). 631.74/81.74 cnf(c_0_55, plain, (multiplication(zero,X1)=zero), inference(split_conjunct,[status(thm)],[c_0_51])). 631.74/81.74 cnf(c_0_56, plain, (leq(star(zero),X1)|~leq(one,X1)), inference(spm,[status(thm)],[c_0_52, c_0_53])). 631.74/81.74 cnf(c_0_57, plain, (leq(addition(X1,X2),X1)|addition(X2,X1)!=X1), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_39]), c_0_26]), c_0_27])). 631.74/81.74 fof(c_0_58, plain, ![X7, X8, X9]:((~leq(addition(multiplication(X7,X8),X9),X8)|leq(multiplication(star(X7),X9),X8))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[star_induction_left])])). 631.74/81.74 cnf(c_0_59, plain, (leq(one,star(zero))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_55]), c_0_44])). 631.74/81.74 cnf(c_0_60, plain, (addition(star(zero),X1)=X1|~leq(one,X1)), inference(spm,[status(thm)],[c_0_28, c_0_56])). 631.74/81.74 cnf(c_0_61, plain, (leq(addition(one,star(one)),star(one))), inference(spm,[status(thm)],[c_0_29, c_0_53])). 631.74/81.74 cnf(c_0_62, plain, (leq(X1,X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_57]), c_0_27])])). 631.74/81.74 cnf(c_0_63, plain, (leq(multiplication(star(X1),X3),X2)|~leq(addition(multiplication(X1,X2),X3),X2)), inference(split_conjunct,[status(thm)],[c_0_58])). 631.74/81.74 cnf(c_0_64, plain, (addition(one,star(zero))=star(zero)), inference(spm,[status(thm)],[c_0_28, c_0_59])). 631.74/81.74 cnf(c_0_65, plain, (addition(X1,star(zero))=X1|~leq(one,X1)), inference(spm,[status(thm)],[c_0_30, c_0_60])). 631.74/81.74 cnf(c_0_66, plain, (leq(star(one),star(one))), inference(rw,[status(thm)],[c_0_61, c_0_37])). 631.74/81.74 cnf(c_0_67, plain, (star(one)=one), inference(spm,[status(thm)],[c_0_53, c_0_42])). 631.74/81.74 cnf(c_0_68, plain, (leq(X1,addition(X1,X2))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_33]), c_0_62])])). 631.74/81.74 cnf(c_0_69, plain, (addition(X1,addition(X2,addition(X1,X3)))=addition(X2,addition(X1,X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_50]), c_0_26]), c_0_26])). 631.74/81.74 cnf(c_0_70, plain, (leq(multiplication(star(zero),X1),X2)|~leq(X1,X2)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_55]), c_0_47])). 631.74/81.74 cnf(c_0_71, plain, (star(zero)=one|~leq(one,one)), inference(spm,[status(thm)],[c_0_64, c_0_65])). 631.74/81.74 cnf(c_0_72, plain, (leq(one,one)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_66, c_0_67]), c_0_67])). 631.74/81.74 fof(c_0_73, plain, ![X10, X11, X12]:(addition(multiplication(X10,X12),multiplication(X11,X12))=multiplication(addition(X10,X11),X12)), inference(variable_rename,[status(thm)],[left_distributivity])). 631.74/81.74 cnf(c_0_74, plain, (leq(X1,addition(X2,addition(X1,X3)))), inference(spm,[status(thm)],[c_0_68, c_0_69])). 631.74/81.74 cnf(c_0_75, plain, (addition(multiplication(star(zero),X1),X2)=X2|~leq(X1,X2)), inference(spm,[status(thm)],[c_0_28, c_0_70])). 631.74/81.74 cnf(c_0_76, plain, (star(zero)=one), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71, c_0_72])])). 631.74/81.74 cnf(c_0_77, plain, (addition(multiplication(X1,X2),multiplication(X3,X2))=multiplication(addition(X1,X3),X2)), inference(split_conjunct,[status(thm)],[c_0_73])). 631.74/81.74 cnf(c_0_78, plain, (leq(X1,addition(X2,X3))|~leq(X1,X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74, c_0_75]), c_0_76]), c_0_53])). 631.74/81.74 cnf(c_0_79, plain, (addition(X1,multiplication(X2,X1))=multiplication(addition(X2,one),X1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77, c_0_53]), c_0_30])). 631.74/81.74 cnf(c_0_80, plain, (leq(X1,addition(X2,X3))|~leq(X1,X2)), inference(spm,[status(thm)],[c_0_78, c_0_30])). 631.74/81.74 cnf(c_0_81, plain, (leq(X1,multiplication(addition(X2,one),X1))), inference(spm,[status(thm)],[c_0_68, c_0_79])). 631.74/81.74 cnf(c_0_82, plain, (leq(X1,X2)|~leq(X1,X3)|~leq(X3,X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_75]), c_0_76]), c_0_53])). 631.74/81.74 cnf(c_0_83, plain, (leq(X1,multiplication(addition(one,X2),X1))), inference(spm,[status(thm)],[c_0_81, c_0_30])). 631.74/81.74 cnf(c_0_84, plain, (leq(X1,X2)|~leq(addition(X1,X3),X2)), inference(spm,[status(thm)],[c_0_82, c_0_68])). 631.74/81.74 cnf(c_0_85, plain, (leq(X1,multiplication(star(X2),X1))), inference(spm,[status(thm)],[c_0_83, c_0_37])). 631.74/81.74 fof(c_0_86, negated_conjecture, ~leq(multiplication(a,multiplication(b,a)),multiplication(star(sigma),multiplication(a,multiplication(sigma,a)))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[a])])). 631.74/81.74 cnf(c_0_87, plain, (leq(X1,multiplication(star(X2),addition(X1,X3)))), inference(spm,[status(thm)],[c_0_84, c_0_85])). 631.74/81.74 cnf(c_0_88, negated_conjecture, (~leq(multiplication(a,multiplication(b,a)),multiplication(star(sigma),multiplication(a,multiplication(sigma,a))))), inference(split_conjunct,[status(thm)],[c_0_86])). 631.74/81.74 cnf(c_0_89, plain, (leq(X1,multiplication(star(X2),X3))|~leq(X1,X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87, c_0_75]), c_0_76]), c_0_53])). 631.74/81.74 cnf(c_0_90, plain, (sigma=addition(a,b)), inference(split_conjunct,[status(thm)],[an])). 631.74/81.74 cnf(c_0_91, negated_conjecture, (~leq(multiplication(a,multiplication(b,a)),multiplication(a,multiplication(sigma,a)))), inference(spm,[status(thm)],[c_0_88, c_0_89])). 631.74/81.74 cnf(c_0_92, plain, (addition(sigma,b)=sigma), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_90]), c_0_30])). 631.74/81.74 cnf(c_0_93, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91, c_0_39]), c_0_32]), c_0_77]), c_0_30]), c_0_92])]), ['proof']). 631.74/81.74 # SZS output end CNFRefutation 631.74/81.74 # Parsed axioms : 18 631.74/81.74 # Removed by relevancy pruning/SinE : 0 631.74/81.74 # Initial clauses : 19 631.74/81.74 # Removed in clause preprocessing : 0 631.74/81.74 # Initial clauses in saturation : 19 631.74/81.74 # Processed clauses : 60832 631.74/81.74 # ...of these trivial : 6003 631.74/81.74 # ...subsumed : 50286 631.74/81.74 # ...remaining for further processing : 4543 631.74/81.74 # Other redundant clauses eliminated : 1373 631.74/81.74 # Clauses deleted for lack of memory : 0 631.74/81.74 # Backward-subsumed : 139 631.74/81.74 # Backward-rewritten : 134 631.74/81.74 # Generated clauses : 1556139 631.74/81.74 # ...of the previous two non-redundant : 1214951 631.74/81.74 # ...aggressively subsumed : 0 631.74/81.74 # Contextual simplify-reflections : 0 631.74/81.74 # Paramodulations : 1554766 631.74/81.74 # Factorizations : 0 631.74/81.74 # NegExts : 0 631.74/81.74 # Equation resolutions : 1373 631.74/81.74 # Propositional unsat checks : 0 631.74/81.74 # Propositional check models : 0 631.74/81.74 # Propositional check unsatisfiable : 0 631.74/81.74 # Propositional clauses : 0 631.74/81.74 # Propositional clauses after purity: 0 631.74/81.74 # Propositional unsat core size : 0 631.74/81.74 # Propositional preprocessing time : 0.000 631.74/81.74 # Propositional encoding time : 0.000 631.74/81.74 # Propositional solver time : 0.000 631.74/81.74 # Success case prop preproc time : 0.000 631.74/81.74 # Success case prop encoding time : 0.000 631.74/81.74 # Success case prop solver time : 0.000 631.74/81.74 # Current number of processed clauses : 4270 631.74/81.74 # Positive orientable unit clauses : 2048 631.74/81.74 # Positive unorientable unit clauses: 39 631.74/81.74 # Negative unit clauses : 315 631.74/81.74 # Non-unit-clauses : 1868 631.74/81.74 # Current number of unprocessed clauses: 1152263 631.74/81.74 # ...number of literals in the above : 1810853 631.74/81.74 # Current number of archived formulas : 0 631.74/81.74 # Current number of archived clauses : 273 631.74/81.74 # Clause-clause subsumption calls (NU) : 960724 631.74/81.74 # Rec. Clause-clause subsumption calls : 898727 631.74/81.74 # Non-unit clause-clause subsumptions : 22479 631.74/81.74 # Unit Clause-clause subsumption calls : 14540 631.74/81.74 # Rewrite failures with RHS unbound : 0 631.74/81.74 # BW rewrite match attempts : 58280 631.74/81.74 # BW rewrite match successes : 183 631.74/81.74 # Condensation attempts : 0 631.74/81.74 # Condensation successes : 0 631.74/81.74 # Termbank termtop insertions : 19276165 631.74/81.74 631.74/81.74 # ------------------------------------------------- 631.74/81.74 # User time : 291.962 s 631.74/81.74 # System time : 8.172 s 631.74/81.74 # Total time : 300.134 s 631.74/81.74 # Maximum resident set size: 1740 pages 631.74/81.74 631.74/81.74 # ------------------------------------------------- 631.74/81.74 # User time : 377.472 s 631.74/81.74 # System time : 11.121 s 631.74/81.74 # Total time : 388.593 s 631.74/81.74 # Maximum resident set size: 1732 pages 631.74/81.75 EOF