%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : TIM020_1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n022.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Tue May 5 07:17:18 PM UTC 2026 % Result : Theorem 16.36s 2.94s % Output : Proof 20.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : TIM020_1 : TPTP v9.3.0. Released v9.3.0. % 0.12/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.16/0.34 % Computer : n022.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon May 4 18:17:21 EDT 2026 % 0.16/0.34 % CPUTime : % 0.63/0.64 ________ _____ % 0.63/0.64 ___ __ \_________(_)________________________________ % 0.63/0.64 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.63/0.64 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.63/0.64 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.63/0.64 % 0.63/0.64 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.63/0.64 (2023-06-19) % 0.63/0.64 % 0.63/0.64 (c) Philipp Rümmer, 2009-2023 % 0.63/0.64 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.63/0.64 Amanda Stjerna. % 0.63/0.64 Free software under BSD-3-Clause. % 0.63/0.64 % 0.63/0.64 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.63/0.64 % 0.63/0.64 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.63/0.65 Running up to 7 provers in parallel. % 0.63/0.67 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.63/0.67 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.63/0.67 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.63/0.67 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.63/0.67 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.63/0.67 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.63/0.67 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 4.97/1.44 Prover 1: Preprocessing ... % 4.97/1.44 Prover 0: Preprocessing ... % 4.97/1.46 Prover 5: Preprocessing ... % 4.97/1.46 Prover 4: Preprocessing ... % 4.97/1.46 Prover 6: Preprocessing ... % 4.97/1.47 Prover 2: Preprocessing ... % 4.97/1.49 Prover 3: Preprocessing ... % 10.37/2.16 Prover 2: Proving ... % 10.37/2.17 Prover 5: Proving ... % 10.37/2.17 Prover 6: Proving ... % 10.37/2.19 Prover 1: Warning: ignoring some quantifiers % 10.37/2.19 Prover 4: Warning: ignoring some quantifiers % 10.92/2.22 Prover 3: Warning: ignoring some quantifiers % 10.92/2.23 Prover 0: Proving ... % 10.92/2.24 Prover 3: Constructing countermodel ... % 10.92/2.25 Prover 1: Constructing countermodel ... % 10.92/2.28 Prover 4: Constructing countermodel ... % 16.36/2.94 Prover 3: proved (2265ms) % 16.36/2.94 % 16.36/2.94 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 16.36/2.94 % 16.36/2.94 Prover 6: stopped % 16.36/2.94 Prover 0: stopped % 16.36/2.94 Prover 5: stopped % 16.36/2.95 Prover 2: stopped % 16.36/2.95 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 16.36/2.95 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 16.36/2.96 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 16.36/2.96 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 16.36/2.96 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 18.05/3.15 Prover 8: Preprocessing ... % 18.05/3.19 Prover 11: Preprocessing ... % 18.05/3.19 Prover 10: Preprocessing ... % 18.67/3.21 Prover 13: Preprocessing ... % 18.67/3.21 Prover 7: Preprocessing ... % 19.46/3.34 Prover 1: Found proof (size 19) % 19.46/3.34 Prover 1: proved (2676ms) % 19.46/3.34 Prover 10: Warning: ignoring some quantifiers % 19.46/3.34 Prover 4: stopped % 19.46/3.35 Prover 7: Warning: ignoring some quantifiers % 19.46/3.35 Prover 10: Constructing countermodel ... % 19.46/3.36 Prover 13: Warning: ignoring some quantifiers % 19.46/3.36 Prover 7: Constructing countermodel ... % 19.46/3.36 Prover 10: stopped % 19.46/3.37 Prover 7: stopped % 19.46/3.37 Prover 8: Warning: ignoring some quantifiers % 19.46/3.37 Prover 13: Constructing countermodel ... % 19.46/3.38 Prover 8: Constructing countermodel ... % 19.46/3.38 Prover 13: stopped % 19.46/3.39 Prover 8: stopped % 20.15/3.42 Prover 11: Warning: ignoring some quantifiers % 20.15/3.44 Prover 11: Constructing countermodel ... % 20.15/3.45 Prover 11: stopped % 20.15/3.45 % 20.15/3.45 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 20.15/3.45 % 20.15/3.45 % SZS output start Proof for theBenchmark % 20.15/3.46 Assumptions after simplification: % 20.15/3.46 --------------------------------- % 20.15/3.46 % 20.15/3.46 (anchor_2025_jan1) % 20.15/3.47 day_name(wednesday) & ? [v0: date] : (ymd(2025, 1, 1) = v0 & weekday(v0, % 20.15/3.47 wednesday) = 0 & date(v0)) % 20.15/3.47 % 20.15/3.47 (lemma_boundary_dec32) % 20.15/3.47 ? [v0: date] : (calc_date(32, 12, 2024, v0) = 0 & ymd(2025, 1, 1) = v0 & % 20.15/3.47 date(v0)) % 20.15/3.47 % 20.15/3.47 (test_ny_fwd) % 20.15/3.47 ! [v0: date] : ( ~ (ymd(2025, 1, 1) = v0) | ? [v1: any] : ? [v2: any] : % 20.15/3.47 (calc_date(32, 12, 2024, v0) = v1 & valid_day(1) = v2 & ( ~ (v2 = 0) | ~ % 20.15/3.47 (v1 = 0)))) % 20.15/3.47 % 20.15/3.47 (trap_ax) % 20.15/3.47 ! [v0: int] : ! [v1: int] : (v1 = 0 | ~ ($lesseq(v0, 31)) | ~ ($lesseq(1, % 20.15/3.47 v0)) | ~ (valid_day(v0) = v1)) & ! [v0: int] : ( ~ (valid_day(v0) = 0) % 20.15/3.47 | ($lesseq(v0, 31) & $lesseq(1, v0))) % 20.15/3.47 % 20.15/3.47 (function-axioms) % 20.15/3.48 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: time] : ! % 20.15/3.48 [v3: int] : ! [v4: int] : ! [v5: int] : ! [v6: int] : ! [v7: int] : ! % 20.15/3.48 [v8: int] : ! [v9: int] : ! [v10: int] : (v1 = v0 | ~ (calc_datetime(v10, % 20.15/3.48 v9, v8, v7, v6, v5, v4, v3, v2) = v1) | ~ (calc_datetime(v10, v9, v8, % 20.15/3.49 v7, v6, v5, v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 20.15/3.49 MultipleValueBool] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: % 20.15/3.49 int] : ! [v6: int] : ! [v7: int] : ! [v8: int] : (v1 = v0 | ~ % 20.15/3.49 (normalize_time(v8, v7, v6, v5, v4, v3, v2) = v1) | ~ (normalize_time(v8, % 20.15/3.49 v7, v6, v5, v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 20.15/3.49 MultipleValueBool] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: % 20.15/3.49 int] : ! [v6: int] : ! [v7: int] : (v1 = v0 | ~ (zeller_prep(v7, v6, v5, % 20.15/3.49 v4, v3, v2) = v1) | ~ (zeller_prep(v7, v6, v5, v4, v3, v2) = v0)) & ! % 20.15/3.49 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: date] : ! [v3: % 20.15/3.49 int] : ! [v4: int] : ! [v5: day_name] : ! [v6: int] : (v1 = v0 | ~ % 20.15/3.49 (nth_weekday_date(v6, v5, v4, v3, v2) = v1) | ~ (nth_weekday_date(v6, v5, % 20.15/3.49 v4, v3, v2) = v0)) & ! [v0: time] : ! [v1: time] : ! [v2: int] : ! % 20.15/3.49 [v3: int] : ! [v4: int] : ! [v5: int] : ! [v6: int] : (v1 = v0 | ~ (dt(v6, % 20.15/3.49 v5, v4, v3, v2) = v1) | ~ (dt(v6, v5, v4, v3, v2) = v0)) & ! [v0: % 20.15/3.49 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: date] : ! [v3: % 20.15/3.49 int] : ! [v4: int] : ! [v5: int] : (v1 = v0 | ~ (calc_date(v5, v4, v3, % 20.15/3.49 v2) = v1) | ~ (calc_date(v5, v4, v3, v2) = v0)) & ! [v0: % 20.15/3.49 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: int] : ! [v3: % 20.15/3.49 int] : ! [v4: int] : (v1 = v0 | ~ (calc_nth_offset(v4, v3, v2) = v1) | ~ % 20.15/3.49 (calc_nth_offset(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 20.15/3.49 MultipleValueBool] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v1 = v0 | % 20.15/3.49 ~ (is_days_in_month(v4, v3, v2) = v1) | ~ (is_days_in_month(v4, v3, v2) = % 20.15/3.49 v0)) & ! [v0: date] : ! [v1: date] : ! [v2: int] : ! [v3: int] : ! % 20.15/3.49 [v4: int] : (v1 = v0 | ~ (ymd(v4, v3, v2) = v1) | ~ (ymd(v4, v3, v2) = v0)) % 20.15/3.49 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: int] : ! % 20.15/3.49 [v3: int] : (v1 = v0 | ~ (is_days_in_year(v3, v2) = v1) | ~ % 20.15/3.49 (is_days_in_year(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 20.15/3.49 MultipleValueBool] : ! [v2: int] : ! [v3: day_name] : (v1 = v0 | ~ % 20.15/3.49 (map_name_to_int(v3, v2) = v1) | ~ (map_name_to_int(v3, v2) = v0)) & ! % 20.15/3.49 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: day_name] : ! % 20.15/3.49 [v3: int] : (v1 = v0 | ~ (map_iso(v3, v2) = v1) | ~ (map_iso(v3, v2) = v0)) % 20.15/3.49 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: day_name] % 20.15/3.49 : ! [v3: date] : (v1 = v0 | ~ (weekday(v3, v2) = v1) | ~ (weekday(v3, v2) = % 20.15/3.49 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 20.15/3.49 int] : (v1 = v0 | ~ (is_leap_year(v2) = v1) | ~ (is_leap_year(v2) = v0)) & % 20.15/3.49 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: int] : (v1 = % 20.15/3.49 v0 | ~ (valid_day(v2) = v1) | ~ (valid_day(v2) = v0)) % 20.15/3.49 % 20.15/3.49 Further assumptions not needed in the proof: % 20.15/3.49 -------------------------------------------- % 20.15/3.49 anchor_1600_jan1, anchor_1776_jan1, anchor_1969_jan1, anchor_1985_jan1, % 20.15/3.49 anchor_2024_apr1, anchor_2024_feb1, anchor_2024_jan1, anchor_2024_mar1, % 20.15/3.49 anchor_2024_may1, anchor_2025_feb1, anchor_2025_mar1, anchor_2025_nov1, % 20.15/3.49 back_decade_peel, back_year_peel_leap, back_year_peel_nonleap, % 20.15/3.49 cache_4yr_2025_to_2028, calc_nth_offset_def_mod7, calc_weekday_zeller, d_24, % 20.15/3.49 d_25, d_26, d_27, d_28, dt_logic, hint_century_back_bridge, % 20.15/3.49 hint_century_multi_bridge, hint_century_threshold_100k, % 20.15/3.49 hint_century_to_decade_bridge, hint_leap_1776_feb, hint_leap_2024_feb, % 20.15/3.49 last_weekday_shortcut, lemma_boundary_jan0_2024, lemma_boundary_jan0_2025, % 20.15/3.49 lemma_boundary_leap_mar0, lemma_boundary_norm_mar0, m1, m10, m11, m12, m2, m3, % 20.15/3.49 m4, m5, m6, m7, m8, m9, map_0, map_1, map_2, map_3, map_4, map_5, map_6, % 20.15/3.49 map_n_0, map_n_1, map_n_2, map_n_3, map_n_4, map_n_5, map_n_6, % 20.15/3.49 map_name_to_int_functional, nth_weekday_logic, rule_back_10year_long, % 20.15/3.49 rule_back_10year_short, rule_back_400yr_cycle, rule_back_century, rule_back_jan, % 20.15/3.49 rule_back_std, rule_base, rule_fwd_10year_long, rule_fwd_400yr_cycle, % 20.15/3.49 rule_fwd_4year, rule_fwd_century, rule_fwd_dec, rule_fwd_safe_4yr_gen, % 20.15/3.49 rule_fwd_std, rule_fwd_year, rule_weekday_month_jump, time_logic, % 20.15/3.49 weekday_400yr_period, weekday_functional, zeller_adj_janfeb, zeller_adj_norm % 20.15/3.49 % 20.15/3.49 Those formulas are unsatisfiable: % 20.15/3.49 --------------------------------- % 20.15/3.49 % 20.15/3.49 Begin of proof % 20.15/3.49 | % 20.15/3.49 | ALPHA: (trap_ax) implies: % 20.15/3.49 | (1) ! [v0: int] : ! [v1: int] : (v1 = 0 | ~ ($lesseq(v0, 31)) | ~ % 20.15/3.49 | ($lesseq(1, v0)) | ~ (valid_day(v0) = v1)) % 20.15/3.49 | % 20.15/3.49 | ALPHA: (anchor_2025_jan1) implies: % 20.15/3.49 | (2) ? [v0: date] : (ymd(2025, 1, 1) = v0 & weekday(v0, wednesday) = 0 & % 20.15/3.49 | date(v0)) % 20.15/3.49 | % 20.15/3.49 | ALPHA: (function-axioms) implies: % 20.15/3.49 | (3) ! [v0: date] : ! [v1: date] : ! [v2: int] : ! [v3: int] : ! [v4: % 20.15/3.49 | int] : (v1 = v0 | ~ (ymd(v4, v3, v2) = v1) | ~ (ymd(v4, v3, v2) = % 20.15/3.49 | v0)) % 20.15/3.49 | (4) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: date] % 20.15/3.49 | : ! [v3: int] : ! [v4: int] : ! [v5: int] : (v1 = v0 | ~ % 20.15/3.49 | (calc_date(v5, v4, v3, v2) = v1) | ~ (calc_date(v5, v4, v3, v2) = % 20.15/3.49 | v0)) % 20.15/3.49 | % 20.15/3.50 | DELTA: instantiating (lemma_boundary_dec32) with fresh symbol all_72_0 gives: % 20.15/3.50 | (5) calc_date(32, 12, 2024, all_72_0) = 0 & ymd(2025, 1, 1) = all_72_0 & % 20.62/3.50 | date(all_72_0) % 20.62/3.50 | % 20.62/3.50 | ALPHA: (5) implies: % 20.62/3.50 | (6) ymd(2025, 1, 1) = all_72_0 % 20.62/3.50 | (7) calc_date(32, 12, 2024, all_72_0) = 0 % 20.62/3.50 | % 20.62/3.50 | DELTA: instantiating (2) with fresh symbol all_74_0 gives: % 20.62/3.50 | (8) ymd(2025, 1, 1) = all_74_0 & weekday(all_74_0, wednesday) = 0 & % 20.62/3.50 | date(all_74_0) % 20.62/3.50 | % 20.62/3.50 | ALPHA: (8) implies: % 20.62/3.50 | (9) ymd(2025, 1, 1) = all_74_0 % 20.62/3.50 | % 20.62/3.50 | GROUND_INST: instantiating (3) with all_72_0, all_74_0, 1, 1, 2025, % 20.62/3.50 | simplifying with (6), (9) gives: % 20.62/3.50 | (10) all_74_0 = all_72_0 % 20.62/3.50 | % 20.62/3.50 | GROUND_INST: instantiating (test_ny_fwd) with all_72_0, simplifying with (6) % 20.62/3.50 | gives: % 20.62/3.50 | (11) ? [v0: any] : ? [v1: any] : (calc_date(32, 12, 2024, all_72_0) = v0 % 20.62/3.50 | & valid_day(1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 20.62/3.50 | % 20.62/3.50 | DELTA: instantiating (11) with fresh symbols all_198_0, all_198_1 gives: % 20.62/3.50 | (12) calc_date(32, 12, 2024, all_72_0) = all_198_1 & valid_day(1) = % 20.62/3.50 | all_198_0 & ( ~ (all_198_0 = 0) | ~ (all_198_1 = 0)) % 20.62/3.50 | % 20.62/3.50 | ALPHA: (12) implies: % 20.62/3.50 | (13) valid_day(1) = all_198_0 % 20.62/3.50 | (14) calc_date(32, 12, 2024, all_72_0) = all_198_1 % 20.62/3.50 | (15) ~ (all_198_0 = 0) | ~ (all_198_1 = 0) % 20.62/3.50 | % 20.62/3.50 | GROUND_INST: instantiating (1) with 1, all_198_0, simplifying with (13) gives: % 20.62/3.50 | (16) all_198_0 = 0 % 20.62/3.50 | % 20.62/3.50 | GROUND_INST: instantiating (4) with 0, all_198_1, all_72_0, 2024, 12, 32, % 20.62/3.50 | simplifying with (7), (14) gives: % 20.62/3.50 | (17) all_198_1 = 0 % 20.62/3.50 | % 20.62/3.50 | BETA: splitting (15) gives: % 20.62/3.50 | % 20.62/3.50 | Case 1: % 20.62/3.50 | | % 20.62/3.50 | | (18) ~ (all_198_0 = 0) % 20.62/3.50 | | % 20.62/3.50 | | REDUCE: (16), (18) imply: % 20.62/3.50 | | (19) $false % 20.62/3.50 | | % 20.62/3.50 | | CLOSE: (19) is inconsistent. % 20.62/3.50 | | % 20.62/3.50 | Case 2: % 20.62/3.50 | | % 20.62/3.50 | | (20) ~ (all_198_1 = 0) % 20.62/3.50 | | % 20.62/3.50 | | REDUCE: (17), (20) imply: % 20.62/3.50 | | (21) $false % 20.62/3.50 | | % 20.62/3.50 | | CLOSE: (21) is inconsistent. % 20.62/3.50 | | % 20.62/3.50 | End of split % 20.62/3.50 | % 20.62/3.50 End of proof % 20.62/3.50 % SZS output end Proof for theBenchmark % 20.62/3.50 % 20.62/3.50 2861ms %------------------------------------------------------------------------------