0.00/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.10 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.08/0.30 % Computer : n003.cluster.edu 0.08/0.30 % Model : x86_64 x86_64 0.08/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.08/0.30 % Memory : 8042.1875MB 0.08/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.08/0.30 % CPULimit : 1920 0.08/0.30 % WCLimit : 240 0.08/0.30 % DateTime : Wed Jul 30 03:19:04 EDT 2025 0.08/0.31 % CPUTime : 0.14/0.43 Running higher-order theorem proving 0.14/0.48 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=240 /export/starexec/sandbox2/tmp/tmp.q5cHZ1sozC/E---3.1_11845.p 0.14/0.56 # Version: 3.0.0-ho 0.14/0.56 # Preprocessing class: HSLSSMSMSSSNSFA. 0.14/0.56 # Scheduled 6 strats onto 8 cores with 240 seconds (1920 total) 0.14/0.56 # Starting new_ho_10 with 720s (3) cores 0.14/0.56 # Starting sh2lt with 240s (1) cores 0.14/0.56 # Starting new_ho_5 with 240s (1) cores 0.14/0.56 # Starting full_lambda_5 with 240s (1) cores 0.14/0.56 # Starting sh9 with 240s (1) cores 0.14/0.56 # Starting ehoh_best8_lambda with 240s (1) cores 0.14/0.56 # ehoh_best8_lambda with pid 11928 completed with status 0 0.14/0.56 # Result found by ehoh_best8_lambda 0.14/0.56 # Preprocessing class: HSLSSMSMSSSNSFA. 0.14/0.56 # Scheduled 6 strats onto 8 cores with 240 seconds (1920 total) 0.14/0.56 # Starting new_ho_10 with 720s (3) cores 0.14/0.56 # Starting sh2lt with 240s (1) cores 0.14/0.56 # Starting new_ho_5 with 240s (1) cores 0.14/0.56 # Starting full_lambda_5 with 240s (1) cores 0.14/0.56 # Starting sh9 with 240s (1) cores 0.14/0.56 # Starting ehoh_best8_lambda with 240s (1) cores 0.14/0.56 # No SInE strategy applied 0.14/0.56 # Search class: HGHSM-FSLM31-DSFFFFBN 0.14/0.56 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.14/0.56 # Starting lpo8_lambda_fix with 87s (1) cores 0.14/0.56 # lpo8_lambda_fix with pid 11929 completed with status 0 0.14/0.56 # Result found by lpo8_lambda_fix 0.14/0.56 # Preprocessing class: HSLSSMSMSSSNSFA. 0.14/0.56 # Scheduled 6 strats onto 8 cores with 240 seconds (1920 total) 0.14/0.56 # Starting new_ho_10 with 720s (3) cores 0.14/0.56 # Starting sh2lt with 240s (1) cores 0.14/0.56 # Starting new_ho_5 with 240s (1) cores 0.14/0.56 # Starting full_lambda_5 with 240s (1) cores 0.14/0.56 # Starting sh9 with 240s (1) cores 0.14/0.56 # Starting ehoh_best8_lambda with 240s (1) cores 0.14/0.56 # No SInE strategy applied 0.14/0.56 # Search class: HGHSM-FSLM31-DSFFFFBN 0.14/0.56 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.14/0.56 # Starting lpo8_lambda_fix with 87s (1) cores 0.14/0.56 # Preprocessing time : 0.005 s 0.14/0.56 # Presaturation interreduction done 0.14/0.56 0.14/0.56 # Proof found! 0.14/0.56 # SZS status Theorem 0.14/0.56 # SZS output start CNFRefutation 0.14/0.56 thf(decl_sort1, type, partia1833973666xt_a_b: $tType). 0.14/0.56 thf(decl_sort2, type, a: $tType). 0.14/0.56 thf(decl_sort3, type, set_a: $tType). 0.14/0.56 thf(decl_sort4, type, product_prod_a_a: $tType). 0.14/0.56 thf(decl_26, type, partia1066395285xt_a_b: partia1833973666xt_a_b > set_a). 0.14/0.56 thf(decl_27, type, mult_a_ring_ext_a_b: partia1833973666xt_a_b > a > a > a). 0.14/0.56 thf(decl_39, type, ord_less_eq_set_a: set_a > set_a > $o). 0.14/0.56 thf(decl_40, type, product_fst_a_a: product_prod_a_a > a). 0.14/0.56 thf(decl_41, type, product_snd_a_a: product_prod_a_a > a). 0.14/0.56 thf(decl_42, type, a_inv_a_b: partia1833973666xt_a_b > a > a). 0.14/0.56 thf(decl_43, type, a_minus_a_b: partia1833973666xt_a_b > a > a > a). 0.14/0.56 thf(decl_45, type, add_a_b: partia1833973666xt_a_b > a > a > a). 0.14/0.56 thf(decl_46, type, zero_a_b: partia1833973666xt_a_b > a). 0.14/0.56 thf(decl_49, type, member_a: a > set_a > $o). 0.14/0.56 thf(decl_50, type, r: partia1833973666xt_a_b). 0.14/0.56 thf(decl_51, type, s: set_a). 0.14/0.56 thf(decl_52, type, r2: a). 0.14/0.56 thf(decl_53, type, r3: a). 0.14/0.56 thf(decl_54, type, s2: a). 0.14/0.56 thf(decl_55, type, s3: a). 0.14/0.56 thf(decl_56, type, t: a). 0.14/0.56 thf(decl_57, type, t2: a). 0.14/0.56 thf(decl_58, type, x: product_prod_a_a). 0.14/0.56 thf(decl_59, type, y: product_prod_a_a). 0.14/0.56 thf(fact_67_minus__eq, axiom, ![X16:a, X17:a]:(((a_minus_a_b @ r @ X16 @ X17)=(add_a_b @ r @ X16 @ (a_inv_a_b @ r @ X17)))), file('/export/starexec/sandbox2/tmp/tmp.q5cHZ1sozC/E---3.1_11845.p', fact_67_minus__eq)). 0.14/0.56 thf(fact_48_f30, axiom, ((mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t2 @ s2) @ (product_snd_a_a @ x)) @ (mult_a_ring_ext_a_b @ r @ t @ (a_minus_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ y) @ r3) @ (mult_a_ring_ext_a_b @ r @ s3 @ (product_fst_a_a @ y)))))=(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 @ s2 @ r3))) @ (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 @ x) @ (product_fst_a_a @ y)))))), file('/export/starexec/sandbox2/tmp/tmp.q5cHZ1sozC/E---3.1_11845.p', fact_48_f30)). 0.14/0.56 thf(fact_58_f7, axiom, ((mult_a_ring_ext_a_b @ r @ t @ (a_minus_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ y) @ r3) @ (mult_a_ring_ext_a_b @ r @ s3 @ (product_fst_a_a @ y))))=(zero_a_b @ r)), file('/export/starexec/sandbox2/tmp/tmp.q5cHZ1sozC/E---3.1_11845.p', fact_58_f7)). 0.14/0.56 thf(conj_0, conjecture, ((add_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)) @ (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))))) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t2 @ s2) @ (product_snd_a_a @ x)) @ (mult_a_ring_ext_a_b @ r @ t @ (a_minus_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ y) @ r3) @ (mult_a_ring_ext_a_b @ r @ s3 @ (product_fst_a_a @ y))))))=(mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t2 @ t) @ (add_a_b @ r @ (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)))) @ (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 @ s2 @ r3)) @ (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 @ x) @ (product_fst_a_a @ y))))))), file('/export/starexec/sandbox2/tmp/tmp.q5cHZ1sozC/E---3.1_11845.p', conj_0)). 0.14/0.56 thf(fact_21__092_060open_062_092_060lbrakk_062snd_Ax_H_A_092_060otimes_062_Asnd_Ay_H_A_092_060otimes_062_A_Is_H_A_092_060otimes_062_Ar_J_A_092_060ominus_062_As_A_092_060otimes_062_As_H_A_092_060otimes_062_A_Isnd_Ay_H_A_092_060otimes_062_Afst_Ax_H_J_A_092_060in_062_Acarrier_AR_059_Asnd_Ax_H_A_092_060otimes_062_Asnd_Ay_H_A_092_060otimes_062_A_Is_A_092_060otimes_062_Ar_H_J_A_092_060ominus_062_As_A_092_060otimes_062_As_H_A_092_060otimes_062_A_Isnd_Ax_H_A_092_060otimes_062_Afst_Ay_H_J_A_092_060in_062_Acarrier_AR_059_At_A_092_060otimes_062_At_H_A_092_060in_062_Acarrier_AR_092_060rbrakk_062_A_092_060Longrightarrow_062_At_A_092_060otimes_062_At_H_A_092_060otimes_062_A_Isnd_Ax_H_A_092_060otimes_062_Asnd_Ay_H_A_092_060otimes_062_A_Is_H_A_092_060otimes_062_Ar_J_A_092_060ominus_062_As_A_092_060otimes_062_As_H_A_092_060otimes_062_A_Isnd_Ay_H_A_092_060otimes_062_Afst_Ax_H_J_A_092_060oplus_062_A_Isnd_Ax_H_A_092_060otimes_062_Asnd_Ay_H_A_092_060otimes_062_A_Is_A_092_060otimes_062_Ar_H_J_A_092_060ominus_062_As_A_092_060otimes_062_As_H_A_092_060otimes_062_A_Isnd_Ax_H_A_092_060otimes_062_Afst_Ay_H_J_J_J_A_061_At_A_092_060otimes_062_At_H_A_092_060otimes_062_A_Isnd_Ax_H_A_092_060otimes_062_Asnd_Ay_H_A_092_060otimes_062_A_Is_H_A_092_060otimes_062_Ar_J_A_092_060ominus_062_As_A_092_060otimes_062_As_H_A_092_060otimes_062_A_Isnd_Ay_H_A_092_060otimes_062_Afst_Ax_H_J_J_A_092_060oplus_062_At_A_092_060otimes_062_At_H_A_092_060otimes_062_A_Isnd_Ax_H_A_092_060otimes_062_Asnd_Ay_H_A_092_060otimes_062_A_Is_A_092_060otimes_062_Ar_H_J_A_092_060ominus_062_As_A_092_060otimes_062_As_H_A_092_060otimes_062_A_Isnd_Ax_H_A_092_060otimes_062_Afst_Ay_H_J_J_092_060close_062, axiom, (((member_a @ (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 @ s2 @ r3)) @ (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 @ x) @ (product_fst_a_a @ y)))) @ (partia1066395285xt_a_b @ r))=>(((mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t2 @ t) @ (add_a_b @ r @ (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)))) @ (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 @ s2 @ r3)) @ (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 @ x) @ (product_fst_a_a @ y))))))=(add_a_b @ r @ (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 @ 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 @ s2 @ r3)) @ (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 @ x) @ (product_fst_a_a @ y)))))))<=(member_a @ (mult_a_ring_ext_a_b @ r @ t2 @ t) @ (partia1066395285xt_a_b @ r))))<=(member_a @ (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/sandbox2/tmp/tmp.q5cHZ1sozC/E---3.1_11845.p', fact_21__092_060open_062_092_060lbrakk_062snd_Ax_H_A_092_060otimes_062_Asnd_Ay_H_A_092_060otimes_062_A_Is_H_A_092_060otimes_062_Ar_J_A_092_060ominus_062_As_A_092_060otimes_062_As_H_A_092_060otimes_062_A_Isnd_Ay_H_A_092_060otimes_062_Afst_Ax_H_J_A_092_060in_062_Acarrier_AR_059_Asnd_Ax_H_A_092_060otimes_062_Asnd_Ay_H_A_092_060otimes_062_A_Is_A_092_060otimes_062_Ar_H_J_A_092_060ominus_062_As_A_092_060otimes_062_As_H_A_092_060otimes_062_A_Isnd_Ax_H_A_092_060otimes_062_Afst_Ay_H_J_A_092_060in_062_Acarrier_AR_059_At_A_092_060otimes_062_At_H_A_092_060in_062_Acarrier_AR_092_060rbrakk_062_A_092_060Longrightarrow_062_At_A_092_060otimes_062_At_H_A_092_060otimes_062_A_Isnd_Ax_H_A_092_060otimes_062_Asnd_Ay_H_A_092_060otimes_062_A_Is_H_A_092_060otimes_062_Ar_J_A_092_060ominus_062_As_A_092_060otimes_062_As_H_A_092_060otimes_062_A_Isnd_Ay_H_A_092_060otimes_062_Afst_Ax_H_J_A_092_060oplus_062_A_Isnd_Ax_H_A_092_060otimes_062_Asnd_Ay_H_A_092_060otimes_062_A_Is_A_092_060otimes_062_Ar_H_J_A_092_060ominus_062_As_A_092_060otimes_062_As_H_A_092_060otimes_062_A_Isnd_Ax_H_A_092_060otimes_062_Afst_Ay_H_J_J_J_A_061_At_A_092_060otimes_062_At_H_A_092_060otimes_062_A_Isnd_Ax_H_A_092_060otimes_062_Asnd_Ay_H_A_092_060otimes_062_A_Is_H_A_092_060otimes_062_Ar_J_A_092_060ominus_062_As_A_092_060otimes_062_As_H_A_092_060otimes_062_A_Isnd_Ay_H_A_092_060otimes_062_Afst_Ax_H_J_J_A_092_060oplus_062_At_A_092_060otimes_062_At_H_A_092_060otimes_062_A_Isnd_Ax_H_A_092_060otimes_062_Asnd_Ay_H_A_092_060otimes_062_A_Is_A_092_060otimes_062_Ar_H_J_A_092_060ominus_062_As_A_092_060otimes_062_As_H_A_092_060otimes_062_A_Isnd_Ax_H_A_092_060otimes_062_Afst_Ay_H_J_J_092_060close_062)). 0.14/0.56 thf(fact_41_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/sandbox2/tmp/tmp.q5cHZ1sozC/E---3.1_11845.p', fact_41_f25)). 0.14/0.56 thf(fact_32_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/sandbox2/tmp/tmp.q5cHZ1sozC/E---3.1_11845.p', fact_32_f24)). 0.14/0.56 thf(fact_35_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/sandbox2/tmp/tmp.q5cHZ1sozC/E---3.1_11845.p', fact_35_f23)). 0.14/0.56 thf(fact_57_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/sandbox2/tmp/tmp.q5cHZ1sozC/E---3.1_11845.p', fact_57_f5)). 0.14/0.56 thf(fact_42_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/sandbox2/tmp/tmp.q5cHZ1sozC/E---3.1_11845.p', fact_42_f32)). 0.14/0.56 thf(fact_240_in__mono, axiom, ![X7:set_a, X8:set_a, X16:a]:(((ord_less_eq_set_a @ X7 @ X8)=>((member_a @ X16 @ X7)=>(member_a @ X16 @ X8)))), file('/export/starexec/sandbox2/tmp/tmp.q5cHZ1sozC/E---3.1_11845.p', fact_240_in__mono)). 0.14/0.56 thf(fact_49_f33, 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 @ s2 @ r3))) @ (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 @ x) @ (product_fst_a_a @ y)))))=(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 @ s2 @ r3)) @ (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 @ x) @ (product_fst_a_a @ y)))))), file('/export/starexec/sandbox2/tmp/tmp.q5cHZ1sozC/E---3.1_11845.p', fact_49_f33)). 0.14/0.56 thf(fact_13_f42, axiom, (member_a @ (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 @ s2 @ r3)) @ (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 @ x) @ (product_fst_a_a @ y)))) @ (partia1066395285xt_a_b @ r)), file('/export/starexec/sandbox2/tmp/tmp.q5cHZ1sozC/E---3.1_11845.p', fact_13_f42)). 0.14/0.56 thf(fact_12_f41, axiom, (member_a @ (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/sandbox2/tmp/tmp.q5cHZ1sozC/E---3.1_11845.p', fact_12_f41)). 0.14/0.56 thf(fact_142_subset, axiom, (ord_less_eq_set_a @ s @ (partia1066395285xt_a_b @ r)), file('/export/starexec/sandbox2/tmp/tmp.q5cHZ1sozC/E---3.1_11845.p', fact_142_subset)). 0.14/0.56 thf(fact_65_f8, axiom, (member_a @ (mult_a_ring_ext_a_b @ r @ t2 @ t) @ s), file('/export/starexec/sandbox2/tmp/tmp.q5cHZ1sozC/E---3.1_11845.p', fact_65_f8)). 0.14/0.56 thf(c_0_16, plain, ![X970:a, X971:a]:(((a_minus_a_b @ r @ X970 @ X971)=(add_a_b @ r @ X970 @ (a_inv_a_b @ r @ X971)))), inference(variable_rename,[status(thm)],[fact_67_minus__eq])). 0.14/0.56 thf(c_0_17, plain, ((mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t2 @ s2) @ (product_snd_a_a @ x)) @ (mult_a_ring_ext_a_b @ r @ t @ (a_minus_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ y) @ r3) @ (mult_a_ring_ext_a_b @ r @ s3 @ (product_fst_a_a @ y)))))=(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 @ s2 @ r3))) @ (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 @ x) @ (product_fst_a_a @ y)))))), inference(split_conjunct,[status(thm)],[fact_48_f30])). 0.14/0.56 thf(c_0_18, plain, ((mult_a_ring_ext_a_b @ r @ t @ (a_minus_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ y) @ r3) @ (mult_a_ring_ext_a_b @ r @ s3 @ (product_fst_a_a @ y))))=(zero_a_b @ r)), inference(split_conjunct,[status(thm)],[fact_58_f7])). 0.14/0.56 thf(c_0_19, negated_conjecture, ((add_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)) @ (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))))) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t2 @ s2) @ (product_snd_a_a @ x)) @ (mult_a_ring_ext_a_b @ r @ t @ (a_minus_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ y) @ r3) @ (mult_a_ring_ext_a_b @ r @ s3 @ (product_fst_a_a @ y))))))!=(mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t2 @ t) @ (add_a_b @ r @ (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)))) @ (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 @ s2 @ r3)) @ (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 @ x) @ (product_fst_a_a @ y))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 0.14/0.56 thf(c_0_20, plain, ((member_a @ (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))=>((member_a @ (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 @ s2 @ r3)) @ (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 @ x) @ (product_fst_a_a @ y)))) @ (partia1066395285xt_a_b @ r))=>((member_a @ (mult_a_ring_ext_a_b @ r @ t2 @ t) @ (partia1066395285xt_a_b @ r))=>((mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t2 @ t) @ (add_a_b @ r @ (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)))) @ (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 @ s2 @ r3)) @ (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 @ x) @ (product_fst_a_a @ y))))))=(add_a_b @ r @ (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 @ 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 @ s2 @ r3)) @ (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 @ x) @ (product_fst_a_a @ y)))))))))), inference(fof_simplification,[status(thm)],[fact_21__092_060open_062_092_060lbrakk_062snd_Ax_H_A_092_060otimes_062_Asnd_Ay_H_A_092_060otimes_062_A_Is_H_A_092_060otimes_062_Ar_J_A_092_060ominus_062_As_A_092_060otimes_062_As_H_A_092_060otimes_062_A_Isnd_Ay_H_A_092_060otimes_062_Afst_Ax_H_J_A_092_060in_062_Acarrier_AR_059_Asnd_Ax_H_A_092_060otimes_062_Asnd_Ay_H_A_092_060otimes_062_A_Is_A_092_060otimes_062_Ar_H_J_A_092_060ominus_062_As_A_092_060otimes_062_As_H_A_092_060otimes_062_A_Isnd_Ax_H_A_092_060otimes_062_Afst_Ay_H_J_A_092_060in_062_Acarrier_AR_059_At_A_092_060otimes_062_At_H_A_092_060in_062_Acarrier_AR_092_060rbrakk_062_A_092_060Longrightarrow_062_At_A_092_060otimes_062_At_H_A_092_060otimes_062_A_Isnd_Ax_H_A_092_060otimes_062_Asnd_Ay_H_A_092_060otimes_062_A_Is_H_A_092_060otimes_062_Ar_J_A_092_060ominus_062_As_A_092_060otimes_062_As_H_A_092_060otimes_062_A_Isnd_Ay_H_A_092_060otimes_062_Afst_Ax_H_J_A_092_060oplus_062_A_Isnd_Ax_H_A_092_060otimes_062_Asnd_Ay_H_A_092_060otimes_062_A_Is_A_092_060otimes_062_Ar_H_J_A_092_060ominus_062_As_A_092_060otimes_062_As_H_A_092_060otimes_062_A_Isnd_Ax_H_A_092_060otimes_062_Afst_Ay_H_J_J_J_A_061_At_A_092_060otimes_062_At_H_A_092_060otimes_062_A_Isnd_Ax_H_A_092_060otimes_062_Asnd_Ay_H_A_092_060otimes_062_A_Is_H_A_092_060otimes_062_Ar_J_A_092_060ominus_062_As_A_092_060otimes_062_As_H_A_092_060otimes_062_A_Isnd_Ay_H_A_092_060otimes_062_Afst_Ax_H_J_J_A_092_060oplus_062_At_A_092_060otimes_062_At_H_A_092_060otimes_062_A_Isnd_Ax_H_A_092_060otimes_062_Asnd_Ay_H_A_092_060otimes_062_A_Is_A_092_060otimes_062_Ar_H_J_A_092_060ominus_062_As_A_092_060otimes_062_As_H_A_092_060otimes_062_A_Isnd_Ax_H_A_092_060otimes_062_Afst_Ay_H_J_J_092_060close_062])). 0.14/0.56 thf(c_0_21, 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_41_f25])). 0.14/0.56 thf(c_0_22, 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_32_f24])). 0.14/0.56 thf(c_0_23, 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_35_f23])). 0.14/0.56 thf(c_0_24, 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_57_f5])). 0.14/0.56 thf(c_0_25, 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_42_f32])). 0.14/0.56 thf(c_0_26, plain, ![X1:a, X2:a]:(((a_minus_a_b @ r @ X1 @ X2)=(add_a_b @ r @ X1 @ (a_inv_a_b @ r @ X2)))), inference(split_conjunct,[status(thm)],[c_0_16])). 0.14/0.56 thf(c_0_27, 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 @ s2 @ r3))) @ (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 @ x) @ (product_fst_a_a @ y)))))=(mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t2 @ s2) @ (product_snd_a_a @ x)) @ (zero_a_b @ r))), inference(rw,[status(thm)],[c_0_17, c_0_18])). 0.14/0.56 thf(c_0_28, negated_conjecture, ((add_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)) @ (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))))) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t2 @ s2) @ (product_snd_a_a @ x)) @ (mult_a_ring_ext_a_b @ r @ t @ (a_minus_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ y) @ r3) @ (mult_a_ring_ext_a_b @ r @ s3 @ (product_fst_a_a @ y))))))!=(mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t2 @ t) @ (add_a_b @ r @ (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)))) @ (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 @ s2 @ r3)) @ (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 @ x) @ (product_fst_a_a @ y))))))), inference(fof_nnf,[status(thm)],[c_0_19])). 0.14/0.56 thf(c_0_29, plain, ![X694:set_a, X695:set_a, X696:a]:((~(ord_less_eq_set_a @ X694 @ X695)|(~(member_a @ X696 @ X694)|(member_a @ X696 @ X695)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_240_in__mono])])])). 0.14/0.56 thf(c_0_30, plain, (~(member_a @ (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))|(~(member_a @ (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 @ s2 @ r3)) @ (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 @ x) @ (product_fst_a_a @ y)))) @ (partia1066395285xt_a_b @ r))|(~(member_a @ (mult_a_ring_ext_a_b @ r @ t2 @ t) @ (partia1066395285xt_a_b @ r))|((mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t2 @ t) @ (add_a_b @ r @ (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)))) @ (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 @ s2 @ r3)) @ (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 @ x) @ (product_fst_a_a @ y))))))=(add_a_b @ r @ (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 @ 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 @ s2 @ r3)) @ (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 @ x) @ (product_fst_a_a @ y)))))))))), inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])). 0.14/0.56 thf(c_0_31, 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_21, c_0_22]), c_0_23]), c_0_24])). 0.14/0.56 thf(c_0_32, plain, ((add_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)) @ (a_inv_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 @ s2 @ (product_fst_a_a @ x)))))=(mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t2 @ t) @ (add_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)) @ (a_inv_a_b @ r @ (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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25, c_0_22]), c_0_23]), c_0_26]), c_0_26])). 0.14/0.56 thf(c_0_33, 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 @ s2 @ r3))) @ (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 @ x) @ (product_fst_a_a @ y)))))=(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 @ s2 @ r3)) @ (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 @ x) @ (product_fst_a_a @ y)))))), inference(split_conjunct,[status(thm)],[fact_49_f33])). 0.14/0.56 thf(c_0_34, plain, ((add_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 @ s2 @ r3))) @ (a_inv_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 @ s2 @ s3) @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ x) @ (product_fst_a_a @ y))))))=(mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t2 @ s2) @ (product_snd_a_a @ x)) @ (zero_a_b @ r))), inference(rw,[status(thm)],[c_0_27, c_0_26])). 0.14/0.56 thf(c_0_35, plain, (member_a @ (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 @ s2 @ r3)) @ (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 @ x) @ (product_fst_a_a @ y)))) @ (partia1066395285xt_a_b @ r)), inference(split_conjunct,[status(thm)],[fact_13_f42])). 0.14/0.56 thf(c_0_36, plain, (member_a @ (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)],[fact_12_f41])). 0.14/0.56 thf(c_0_37, negated_conjecture, ((add_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)) @ (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))))) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t2 @ s2) @ (product_snd_a_a @ x)) @ (mult_a_ring_ext_a_b @ r @ t @ (a_minus_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ y) @ r3) @ (mult_a_ring_ext_a_b @ r @ s3 @ (product_fst_a_a @ y))))))!=(mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t2 @ t) @ (add_a_b @ r @ (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)))) @ (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 @ s2 @ r3)) @ (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 @ x) @ (product_fst_a_a @ y))))))), inference(split_conjunct,[status(thm)],[c_0_28])). 0.14/0.56 thf(c_0_38, plain, ((mult_a_ring_ext_a_b @ r @ t2 @ (add_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ x) @ r2) @ (a_inv_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ (product_fst_a_a @ x)))))=(zero_a_b @ r)), inference(rw,[status(thm)],[c_0_24, c_0_26])). 0.14/0.56 thf(c_0_39, plain, ((mult_a_ring_ext_a_b @ r @ t @ (add_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ y) @ r3) @ (a_inv_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s3 @ (product_fst_a_a @ y)))))=(zero_a_b @ r)), inference(rw,[status(thm)],[c_0_18, c_0_26])). 0.14/0.56 thf(c_0_40, plain, ![X1:a, X7:set_a, X6:set_a]:(((member_a @ X1 @ X7)|~((ord_less_eq_set_a @ X6 @ X7))|~((member_a @ X1 @ X6)))), inference(split_conjunct,[status(thm)],[c_0_29])). 0.14/0.56 thf(c_0_41, plain, (ord_less_eq_set_a @ s @ (partia1066395285xt_a_b @ r)), inference(split_conjunct,[status(thm)],[fact_142_subset])). 0.14/0.56 thf(c_0_42, plain, (((mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t2 @ t) @ (add_a_b @ r @ (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)))) @ (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 @ s2 @ r3)) @ (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 @ x) @ (product_fst_a_a @ y))))))=(add_a_b @ r @ (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 @ 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 @ s2 @ r3)) @ (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 @ x) @ (product_fst_a_a @ y)))))))|~((member_a @ (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)))|~((member_a @ (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 @ s2 @ r3)) @ (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 @ x) @ (product_fst_a_a @ y)))) @ (partia1066395285xt_a_b @ r)))|~((member_a @ (mult_a_ring_ext_a_b @ r @ t2 @ t) @ (partia1066395285xt_a_b @ r)))), inference(split_conjunct,[status(thm)],[c_0_30])). 0.14/0.56 thf(c_0_43, plain, ((mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t2 @ t) @ (add_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)) @ (a_inv_a_b @ r @ (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)],[c_0_31, c_0_26]), c_0_32])). 0.14/0.56 thf(c_0_44, plain, ((mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t2 @ t) @ (add_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 @ s2 @ r3)) @ (a_inv_a_b @ r @ (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 @ x) @ (product_fst_a_a @ y))))))=(mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t2 @ s2) @ (product_snd_a_a @ x)) @ (zero_a_b @ r))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33, c_0_26]), c_0_34]), c_0_26])). 0.14/0.56 thf(c_0_45, plain, (member_a @ (add_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 @ s2 @ r3)) @ (a_inv_a_b @ r @ (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 @ x) @ (product_fst_a_a @ y))))) @ (partia1066395285xt_a_b @ r)), inference(rw,[status(thm)],[c_0_35, c_0_26])). 0.14/0.56 thf(c_0_46, plain, (member_a @ (add_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)) @ (a_inv_a_b @ r @ (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(rw,[status(thm)],[c_0_36, c_0_26])). 0.14/0.56 thf(c_0_47, negated_conjecture, ((mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t2 @ t) @ (add_a_b @ r @ (add_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)) @ (a_inv_a_b @ r @ (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))))) @ (add_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 @ s2 @ r3)) @ (a_inv_a_b @ r @ (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 @ x) @ (product_fst_a_a @ y)))))))!=(add_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)) @ (zero_a_b @ r)) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ t2 @ s2) @ (product_snd_a_a @ x)) @ (zero_a_b @ r)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37, c_0_26]), c_0_26]), c_0_26]), c_0_38]), c_0_26]), c_0_39])). 0.14/0.56 thf(c_0_48, plain, ![X1:a]:(((member_a @ X1 @ (partia1066395285xt_a_b @ r))|~((member_a @ X1 @ s)))), inference(spm,[status(thm)],[c_0_40, c_0_41])). 0.14/0.56 thf(c_0_49, plain, (member_a @ (mult_a_ring_ext_a_b @ r @ t2 @ t) @ s), inference(split_conjunct,[status(thm)],[fact_65_f8])). 0.14/0.56 thf(c_0_50, plain, ~((member_a @ (mult_a_ring_ext_a_b @ r @ t2 @ t) @ (partia1066395285xt_a_b @ r))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42, c_0_26]), c_0_43]), c_0_26]), c_0_44]), c_0_26]), c_0_26]), c_0_26]), c_0_45]), c_0_26]), c_0_46])]), c_0_47])). 0.14/0.56 thf(c_0_51, plain, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_49]), c_0_50]), ['proof']). 0.14/0.56 # SZS output end CNFRefutation 0.14/0.56 # Parsed axioms : 287 0.14/0.56 # Removed by relevancy pruning/SinE : 0 0.14/0.56 # Initial clauses : 336 0.14/0.56 # Removed in clause preprocessing : 52 0.14/0.56 # Initial clauses in saturation : 284 0.14/0.56 # Processed clauses : 433 0.14/0.56 # ...of these trivial : 11 0.14/0.56 # ...subsumed : 52 0.14/0.56 # ...remaining for further processing : 370 0.14/0.56 # Other redundant clauses eliminated : 46 0.14/0.56 # Clauses deleted for lack of memory : 0 0.14/0.56 # Backward-subsumed : 1 0.14/0.56 # Backward-rewritten : 19 0.14/0.56 # Generated clauses : 153 0.14/0.56 # ...of the previous two non-redundant : 123 0.14/0.56 # ...aggressively subsumed : 0 0.14/0.56 # Contextual simplify-reflections : 1 0.14/0.56 # Paramodulations : 93 0.14/0.56 # Factorizations : 0 0.14/0.56 # NegExts : 0 0.14/0.56 # Equation resolutions : 52 0.14/0.56 # Disequality decompositions : 0 0.14/0.56 # Total rewrite steps : 165 0.14/0.56 # ...of those cached : 100 0.14/0.56 # Propositional unsat checks : 0 0.14/0.56 # Propositional check models : 0 0.14/0.56 # Propositional check unsatisfiable : 0 0.14/0.56 # Propositional clauses : 0 0.14/0.57 # Propositional clauses after purity: 0 0.14/0.57 # Propositional unsat core size : 0 0.14/0.57 # Propositional preprocessing time : 0.000 0.14/0.57 # Propositional encoding time : 0.000 0.14/0.57 # Propositional solver time : 0.000 0.14/0.57 # Success case prop preproc time : 0.000 0.14/0.57 # Success case prop encoding time : 0.000 0.14/0.57 # Success case prop solver time : 0.000 0.14/0.57 # Current number of processed clauses : 99 0.14/0.57 # Positive orientable unit clauses : 58 0.14/0.57 # Positive unorientable unit clauses: 1 0.14/0.57 # Negative unit clauses : 3 0.14/0.57 # Non-unit-clauses : 37 0.14/0.57 # Current number of unprocessed clauses: 182 0.14/0.57 # ...number of literals in the above : 433 0.14/0.57 # Current number of archived formulas : 0 0.14/0.57 # Current number of archived clauses : 233 0.14/0.57 # Clause-clause subsumption calls (NU) : 11296 0.14/0.57 # Rec. Clause-clause subsumption calls : 5137 0.14/0.57 # Non-unit clause-clause subsumptions : 42 0.14/0.57 # Unit Clause-clause subsumption calls : 2528 0.14/0.57 # Rewrite failures with RHS unbound : 0 0.14/0.57 # BW rewrite match attempts : 229 0.14/0.57 # BW rewrite match successes : 91 0.14/0.57 # Condensation attempts : 433 0.14/0.57 # Condensation successes : 0 0.14/0.57 # Termbank termtop insertions : 44158 0.14/0.57 # Search garbage collected termcells : 5290 0.14/0.57 0.14/0.57 # ------------------------------------------------- 0.14/0.57 # User time : 0.051 s 0.14/0.57 # System time : 0.008 s 0.14/0.57 # Total time : 0.058 s 0.14/0.57 # Maximum resident set size: 3284 pages 0.14/0.57 0.14/0.57 # ------------------------------------------------- 0.14/0.57 # User time : 0.064 s 0.14/0.57 # System time : 0.010 s 0.14/0.57 # Total time : 0.074 s 0.14/0.57 # Maximum resident set size: 2184 pages 0.14/0.57 % E exiting 0.14/0.57 % E exiting 0.14/0.57 EOF