0.10/0.12 % Problem : SLH128^1 : TPTP v7.5.0. Released v7.5.0. 0.10/0.13 % Command : run_E %s %d THM 0.13/0.34 % Computer : n012.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 30 0.13/0.34 % WCLimit : 30 0.13/0.34 % DateTime : Tue Aug 9 02:29:29 EDT 2022 0.13/0.35 % CPUTime : 0.19/0.47 The problem SPC is TH0_THM_EQU_NAR 0.19/0.47 Running higher-order on 1 cores theorem proving 0.19/0.47 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=1 --cpu-limit=30 /export/starexec/sandbox/benchmark/theBenchmark.p 0.19/0.47 # Version: 3.0pre003-ho 0.19/0.55 # Preprocessing class: HSLSSMSMSSMNSFA. 0.19/0.55 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.19/0.55 # Starting new_ho_3 with 30s (1) cores 0.19/0.55 # new_ho_3 with pid 13138 completed with status 0 0.19/0.55 # Result found by new_ho_3 0.19/0.55 # Preprocessing class: HSLSSMSMSSMNSFA. 0.19/0.55 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.19/0.55 # Starting new_ho_3 with 30s (1) cores 0.19/0.55 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 0.19/0.55 # ...ProofStateSinE()=289/347 0.19/0.55 # Search class: HGHSM-FSLM31-DSFFFFBN 0.19/0.55 # Scheduled 6 strats onto 1 cores with 30 seconds (30 total) 0.19/0.55 # Starting lpo8_lambda_fix with 11s (1) cores 0.19/0.55 # lpo8_lambda_fix with pid 13156 completed with status 0 0.19/0.55 # Result found by lpo8_lambda_fix 0.19/0.55 # Preprocessing class: HSLSSMSMSSMNSFA. 0.19/0.55 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.19/0.55 # Starting new_ho_3 with 30s (1) cores 0.19/0.55 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 0.19/0.55 # ...ProofStateSinE()=289/347 0.19/0.55 # Search class: HGHSM-FSLM31-DSFFFFBN 0.19/0.55 # Scheduled 6 strats onto 1 cores with 30 seconds (30 total) 0.19/0.55 # Starting lpo8_lambda_fix with 11s (1) cores 0.19/0.55 # Preprocessing time : 0.007 s 0.19/0.55 # Presaturation interreduction done 0.19/0.55 0.19/0.55 # Proof found! 0.19/0.55 # SZS status Theorem 0.19/0.55 # SZS output start CNFRefutation 0.19/0.55 thf(decl_22, type, a_RCOSETS_a_b: partia1833973666xt_a_b > set_a > set_set_a). 0.19/0.55 thf(decl_23, type, a_l_coset_a_b: partia1833973666xt_a_b > a > set_a > set_a). 0.19/0.55 thf(decl_24, type, a_r_coset_a_b: partia1833973666xt_a_b > set_a > a > set_a). 0.19/0.55 thf(decl_25, type, additi2104487374up_a_b: set_a > partia1833973666xt_a_b > $o). 0.19/0.55 thf(decl_26, type, set_add_a_b: partia1833973666xt_a_b > set_a > set_a > set_a). 0.19/0.55 thf(decl_27, type, partia1066395285xt_a_b: partia1833973666xt_a_b > set_a). 0.19/0.55 thf(decl_28, type, mult_a_ring_ext_a_b: partia1833973666xt_a_b > a > a > a). 0.19/0.55 thf(decl_29, type, minus_minus_int: int > int > int). 0.19/0.55 thf(decl_30, type, minus_minus_nat: nat > nat > nat). 0.19/0.55 thf(decl_31, type, plus_plus_int: int > int > int). 0.19/0.55 thf(decl_32, type, plus_plus_nat: nat > nat > nat). 0.19/0.55 thf(decl_33, type, locali1648887798ac_a_b: partia1833973666xt_a_b > set_a > $o). 0.19/0.55 thf(decl_34, type, locali807230110ng_a_b: partia1833973666xt_a_b > set_a > $o). 0.19/0.55 thf(decl_35, type, locali880295127ng_a_b: partia1833973666xt_a_b > set_a > $o). 0.19/0.55 thf(decl_36, type, locali425460998xt_a_b: partia1833973666xt_a_b > set_a > $o). 0.19/0.55 thf(decl_37, type, suc: nat > nat). 0.19/0.55 thf(decl_38, type, ord_less_eq_int: int > int > $o). 0.19/0.55 thf(decl_39, type, ord_less_eq_nat: nat > nat > $o). 0.19/0.55 thf(decl_40, type, ord_le318720350_set_a: set_set_a > set_set_a > $o). 0.19/0.55 thf(decl_41, type, ord_less_eq_set_a: set_a > set_a > $o). 0.19/0.55 thf(decl_42, type, product_fst_a_a: product_prod_a_a > a). 0.19/0.55 thf(decl_43, type, product_snd_a_a: product_prod_a_a > a). 0.19/0.55 thf(decl_44, type, a_inv_a_b: partia1833973666xt_a_b > a > a). 0.19/0.55 thf(decl_45, type, a_minus_a_b: partia1833973666xt_a_b > a > a > a). 0.19/0.55 thf(decl_46, type, add_pow_a_b_int: partia1833973666xt_a_b > int > a > a). 0.19/0.55 thf(decl_47, type, add_pow_a_b_nat: partia1833973666xt_a_b > nat > a > a). 0.19/0.55 thf(decl_48, type, add_a_b: partia1833973666xt_a_b > a > a > a). 0.19/0.55 thf(decl_49, type, zero_a_b: partia1833973666xt_a_b > a). 0.19/0.55 thf(decl_50, type, collect_set_a: (set_a > $o) > set_set_a). 0.19/0.55 thf(decl_51, type, collect_a: (a > $o) > set_a). 0.19/0.55 thf(decl_52, type, pow_a: set_a > set_set_a). 0.19/0.55 thf(decl_53, type, member_set_a: set_a > set_set_a > $o). 0.19/0.55 thf(decl_54, type, member_a: a > set_a > $o). 0.19/0.55 thf(decl_55, type, r: partia1833973666xt_a_b). 0.19/0.55 thf(decl_56, type, s: set_a). 0.19/0.55 thf(decl_57, type, r2: a). 0.19/0.55 thf(decl_58, type, r3: a). 0.19/0.55 thf(decl_59, type, s2: a). 0.19/0.55 thf(decl_60, type, s3: a). 0.19/0.55 thf(decl_61, type, t: a). 0.19/0.55 thf(decl_62, type, t2: a). 0.19/0.55 thf(decl_63, type, x: product_prod_a_a). 0.19/0.55 thf(decl_64, type, y: product_prod_a_a). 0.19/0.55 thf(decl_65, type, esk1_1: a > a). 0.19/0.55 thf(decl_66, type, esk2_1: a > a). 0.19/0.55 thf(decl_67, type, esk3_1: a > a). 0.19/0.55 thf(decl_68, type, esk4_0: a). 0.19/0.55 thf(decl_69, type, esk5_0: a). 0.19/0.55 thf(decl_70, type, esk6_2: nat > nat > nat). 0.19/0.55 thf(decl_71, type, esk7_2: nat > nat > nat). 0.19/0.55 thf(decl_72, type, esk8_2: nat > nat > nat). 0.19/0.55 thf(decl_73, type, esk9_2: nat > nat > nat). 0.19/0.55 thf(decl_74, type, esk10_2: nat > nat > nat). 0.19/0.55 thf(decl_75, type, esk11_1: (nat > $o) > nat). 0.19/0.55 thf(decl_76, type, esk12_3: nat > nat > (nat > $o) > nat). 0.19/0.55 thf(decl_77, type, esk13_3: nat > nat > (nat > nat > $o) > nat). 0.19/0.55 thf(decl_78, type, esk14_3: nat > nat > (nat > nat > $o) > nat). 0.19/0.55 thf(decl_79, type, esk15_3: nat > nat > (nat > nat > $o) > nat). 0.19/0.55 thf(decl_80, type, esk16_3: nat > nat > (nat > nat > $o) > nat). 0.19/0.55 thf(decl_81, type, esk17_3: nat > nat > (nat > nat > $o) > nat). 0.19/0.55 thf(decl_82, type, esk18_1: (nat > int) > nat). 0.19/0.55 thf(decl_83, type, esk19_1: (nat > set_a) > nat). 0.19/0.55 thf(decl_84, type, esk20_1: (nat > nat) > nat). 0.19/0.55 thf(decl_85, type, esk21_1: (nat > int) > nat). 0.19/0.55 thf(decl_86, type, esk22_1: (nat > set_a) > nat). 0.19/0.55 thf(decl_87, type, esk23_1: (nat > nat) > nat). 0.19/0.55 thf(decl_88, type, esk24_2: (nat > $o) > nat > nat). 0.19/0.55 thf(decl_89, type, esk25_2: (nat > $o) > nat > nat). 0.19/0.55 thf(decl_90, type, esk26_1: (nat > $o) > nat). 0.19/0.55 thf(decl_91, type, epred1_1: set_set_a > set_a > $o). 0.19/0.55 thf(decl_92, type, esk27_0: int). 0.19/0.55 thf(fact_26_f25, axiom, ((mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t @ s3) @ (product_snd_a_a @ y)) @ (mult_a_ring_ext_a_b @ r @ t2 @ (a_minus_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ x) @ r2) @ (mult_a_ring_ext_a_b @ r @ s2 @ (product_fst_a_a @ x)))))=(a_minus_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t2 @ t) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ x) @ (product_snd_a_a @ y)) @ (mult_a_ring_ext_a_b @ r @ s3 @ r2))) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t2 @ t) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ y) @ (product_fst_a_a @ x)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_26_f25)). 0.19/0.55 thf(fact_21_f24, axiom, ((mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t2 @ t) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ x) @ (product_snd_a_a @ y)) @ (mult_a_ring_ext_a_b @ r @ s3 @ r2)))=(mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t @ s3) @ (product_snd_a_a @ y)) @ t2) @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ x) @ r2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_21_f24)). 0.19/0.55 thf(fact_23_f23, axiom, ((mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t2 @ t) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ y) @ (product_fst_a_a @ x))))=(mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t @ s3) @ (product_snd_a_a @ y)) @ t2) @ (mult_a_ring_ext_a_b @ r @ s2 @ (product_fst_a_a @ x)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_23_f23)). 0.19/0.55 thf(fact_28_f5, axiom, ((mult_a_ring_ext_a_b @ r @ t2 @ (a_minus_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ x) @ r2) @ (mult_a_ring_ext_a_b @ r @ s2 @ (product_fst_a_a @ x))))=(zero_a_b @ r)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_28_f5)). 0.19/0.55 thf(conj_0, conjecture, (member_a @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t2 @ t) @ (a_minus_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ x) @ (product_snd_a_a @ y)) @ (mult_a_ring_ext_a_b @ r @ s3 @ r2)) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ y) @ (product_fst_a_a @ x))))) @ (partia1066395285xt_a_b @ r)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_0)). 0.19/0.55 thf(fact_27_f32, axiom, ((a_minus_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t2 @ t) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ x) @ (product_snd_a_a @ y)) @ (mult_a_ring_ext_a_b @ r @ s3 @ r2))) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t2 @ t) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ y) @ (product_fst_a_a @ x)))))=(mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t2 @ t) @ (a_minus_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ x) @ (product_snd_a_a @ y)) @ (mult_a_ring_ext_a_b @ r @ s3 @ r2)) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ y) @ (product_fst_a_a @ x)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_27_f32)). 0.19/0.55 thf(fact_20_semiring__simprules_I3_J, axiom, ![X4:a, X5:a]:(((member_a @ X4 @ (partia1066395285xt_a_b @ r))=>((member_a @ X5 @ (partia1066395285xt_a_b @ r))=>(member_a @ (mult_a_ring_ext_a_b @ r @ X4 @ X5) @ (partia1066395285xt_a_b @ r))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_20_semiring__simprules_I3_J)). 0.19/0.55 thf(fact_67_zero__closed, axiom, (member_a @ (zero_a_b @ r) @ (partia1066395285xt_a_b @ r)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_67_zero__closed)). 0.19/0.55 thf(fact_15_f9, axiom, (member_a @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t @ s3) @ (product_snd_a_a @ y)) @ (partia1066395285xt_a_b @ r)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_15_f9)). 0.19/0.55 thf(c_0_9, plain, ((mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t @ s3) @ (product_snd_a_a @ y)) @ (mult_a_ring_ext_a_b @ r @ t2 @ (a_minus_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ x) @ r2) @ (mult_a_ring_ext_a_b @ r @ s2 @ (product_fst_a_a @ x)))))=(a_minus_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t2 @ t) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ x) @ (product_snd_a_a @ y)) @ (mult_a_ring_ext_a_b @ r @ s3 @ r2))) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t2 @ t) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ y) @ (product_fst_a_a @ x)))))), inference(split_conjunct,[status(thm)],[fact_26_f25])). 0.19/0.55 thf(c_0_10, plain, ((mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t2 @ t) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ x) @ (product_snd_a_a @ y)) @ (mult_a_ring_ext_a_b @ r @ s3 @ r2)))=(mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t @ s3) @ (product_snd_a_a @ y)) @ t2) @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ x) @ r2))), inference(split_conjunct,[status(thm)],[fact_21_f24])). 0.19/0.55 thf(c_0_11, plain, ((mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t2 @ t) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ y) @ (product_fst_a_a @ x))))=(mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t @ s3) @ (product_snd_a_a @ y)) @ t2) @ (mult_a_ring_ext_a_b @ r @ s2 @ (product_fst_a_a @ x)))), inference(split_conjunct,[status(thm)],[fact_23_f23])). 0.19/0.55 thf(c_0_12, plain, ((mult_a_ring_ext_a_b @ r @ t2 @ (a_minus_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ x) @ r2) @ (mult_a_ring_ext_a_b @ r @ s2 @ (product_fst_a_a @ x))))=(zero_a_b @ r)), inference(split_conjunct,[status(thm)],[fact_28_f5])). 0.19/0.55 thf(c_0_13, negated_conjecture, ~(member_a @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t2 @ t) @ (a_minus_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ x) @ (product_snd_a_a @ y)) @ (mult_a_ring_ext_a_b @ r @ s3 @ r2)) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ y) @ (product_fst_a_a @ x))))) @ (partia1066395285xt_a_b @ r)), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 0.19/0.55 thf(c_0_14, plain, ((a_minus_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t2 @ t) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ x) @ (product_snd_a_a @ y)) @ (mult_a_ring_ext_a_b @ r @ s3 @ r2))) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t2 @ t) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ y) @ (product_fst_a_a @ x)))))=(mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t2 @ t) @ (a_minus_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ x) @ (product_snd_a_a @ y)) @ (mult_a_ring_ext_a_b @ r @ s3 @ r2)) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ y) @ (product_fst_a_a @ x)))))), inference(split_conjunct,[status(thm)],[fact_27_f32])). 0.19/0.55 thf(c_0_15, plain, ((a_minus_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t @ s3) @ (product_snd_a_a @ y)) @ t2) @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ x) @ r2)) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t @ s3) @ (product_snd_a_a @ y)) @ t2) @ (mult_a_ring_ext_a_b @ r @ s2 @ (product_fst_a_a @ x))))=(mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t @ s3) @ (product_snd_a_a @ y)) @ (zero_a_b @ r))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9, c_0_10]), c_0_11]), c_0_12])). 0.19/0.55 thf(c_0_16, negated_conjecture, ~((member_a @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t2 @ t) @ (a_minus_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ x) @ (product_snd_a_a @ y)) @ (mult_a_ring_ext_a_b @ r @ s3 @ r2)) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ y) @ (product_fst_a_a @ x))))) @ (partia1066395285xt_a_b @ r))), inference(split_conjunct,[status(thm)],[c_0_13])). 0.19/0.55 thf(c_0_17, plain, ((mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t2 @ t) @ (a_minus_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ x) @ (product_snd_a_a @ y)) @ (mult_a_ring_ext_a_b @ r @ s3 @ r2)) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ y) @ (product_fst_a_a @ x)))))=(mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t @ s3) @ (product_snd_a_a @ y)) @ (zero_a_b @ r))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14, c_0_10]), c_0_11]), c_0_15])). 0.19/0.55 thf(c_0_18, plain, ![X1098:a, X1099:a]:((~(member_a @ X1098 @ (partia1066395285xt_a_b @ r))|(~(member_a @ X1099 @ (partia1066395285xt_a_b @ r))|(member_a @ (mult_a_ring_ext_a_b @ r @ X1098 @ X1099) @ (partia1066395285xt_a_b @ r))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_20_semiring__simprules_I3_J])])). 0.19/0.55 thf(c_0_19, negated_conjecture, ~((member_a @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t @ s3) @ (product_snd_a_a @ y)) @ (zero_a_b @ r)) @ (partia1066395285xt_a_b @ r))), inference(rw,[status(thm)],[c_0_16, c_0_17])). 0.19/0.55 thf(c_0_20, plain, ![X1:a, X2:a]:(((member_a @ (mult_a_ring_ext_a_b @ r @ X1 @ X2) @ (partia1066395285xt_a_b @ r))|~((member_a @ X1 @ (partia1066395285xt_a_b @ r)))|~((member_a @ X2 @ (partia1066395285xt_a_b @ r))))), inference(split_conjunct,[status(thm)],[c_0_18])). 0.19/0.55 thf(c_0_21, plain, (member_a @ (zero_a_b @ r) @ (partia1066395285xt_a_b @ r)), inference(split_conjunct,[status(thm)],[fact_67_zero__closed])). 0.19/0.55 thf(c_0_22, plain, (member_a @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t @ s3) @ (product_snd_a_a @ y)) @ (partia1066395285xt_a_b @ r)), inference(split_conjunct,[status(thm)],[fact_15_f9])). 0.19/0.55 thf(c_0_23, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_20]), c_0_21]), c_0_22])]), ['proof']). 0.19/0.55 # SZS output end CNFRefutation 0.19/0.55 # Parsed axioms : 347 0.19/0.55 # Removed by relevancy pruning/SinE : 58 0.19/0.55 # Initial clauses : 348 0.19/0.55 # Removed in clause preprocessing : 15 0.19/0.55 # Initial clauses in saturation : 333 0.19/0.55 # Processed clauses : 432 0.19/0.55 # ...of these trivial : 17 0.19/0.55 # ...subsumed : 74 0.19/0.55 # ...remaining for further processing : 341 0.19/0.55 # Other redundant clauses eliminated : 37 0.19/0.55 # Clauses deleted for lack of memory : 0 0.19/0.55 # Backward-subsumed : 0 0.19/0.55 # Backward-rewritten : 5 0.19/0.55 # Generated clauses : 76 0.19/0.55 # ...of the previous two non-redundant : 48 0.19/0.55 # ...aggressively subsumed : 0 0.19/0.55 # Contextual simplify-reflections : 3 0.19/0.55 # Paramodulations : 35 0.19/0.55 # Factorizations : 0 0.19/0.55 # NegExts : 0 0.19/0.55 # Equation resolutions : 40 0.19/0.55 # Propositional unsat checks : 0 0.19/0.55 # Propositional check models : 0 0.19/0.55 # Propositional check unsatisfiable : 0 0.19/0.55 # Propositional clauses : 0 0.19/0.55 # Propositional clauses after purity: 0 0.19/0.55 # Propositional unsat core size : 0 0.19/0.55 # Propositional preprocessing time : 0.000 0.19/0.55 # Propositional encoding time : 0.000 0.19/0.55 # Propositional solver time : 0.000 0.19/0.55 # Success case prop preproc time : 0.000 0.19/0.55 # Success case prop encoding time : 0.000 0.19/0.55 # Success case prop solver time : 0.000 0.19/0.55 # Current number of processed clauses : 69 0.19/0.55 # Positive orientable unit clauses : 43 0.19/0.55 # Positive unorientable unit clauses: 0 0.19/0.55 # Negative unit clauses : 6 0.19/0.55 # Non-unit-clauses : 20 0.19/0.55 # Current number of unprocessed clauses: 179 0.19/0.55 # ...number of literals in the above : 436 0.19/0.55 # Current number of archived formulas : 0 0.19/0.55 # Current number of archived clauses : 235 0.19/0.55 # Clause-clause subsumption calls (NU) : 15275 0.19/0.55 # Rec. Clause-clause subsumption calls : 7785 0.19/0.55 # Non-unit clause-clause subsumptions : 68 0.19/0.55 # Unit Clause-clause subsumption calls : 82 0.19/0.55 # Rewrite failures with RHS unbound : 0 0.19/0.55 # BW rewrite match attempts : 99 0.19/0.55 # BW rewrite match successes : 38 0.19/0.55 # Condensation attempts : 432 0.19/0.55 # Condensation successes : 0 0.19/0.55 # Termbank termtop insertions : 41209 0.19/0.55 0.19/0.55 # ------------------------------------------------- 0.19/0.55 # User time : 0.053 s 0.19/0.55 # System time : 0.011 s 0.19/0.55 # Total time : 0.064 s 0.19/0.55 # Maximum resident set size: 3760 pages 0.19/0.55 0.19/0.55 # ------------------------------------------------- 0.19/0.55 # User time : 0.066 s 0.19/0.55 # System time : 0.013 s 0.19/0.55 # Total time : 0.079 s 0.19/0.55 # Maximum resident set size: 2244 pages 0.19/0.55 EOF