%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : GEO497+1 : TPTP v8.1.2. Released v7.0.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n011.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 : Wed Aug 30 23:23:30 EDT 2023 % Result : Theorem 21.67s 3.65s % Output : Proof 25.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : GEO497+1 : TPTP v8.1.2. Released v7.0.0. % 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n011.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 : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Tue Aug 29 22:22:11 EDT 2023 % 0.13/0.34 % CPUTime : % 0.19/0.62 ________ _____ % 0.19/0.62 ___ __ \_________(_)________________________________ % 0.19/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.19/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.19/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.19/0.62 % 0.19/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.19/0.62 (2023-06-19) % 0.19/0.62 % 0.19/0.62 (c) Philipp Rümmer, 2009-2023 % 0.19/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.19/0.62 Amanda Stjerna. % 0.19/0.62 Free software under BSD-3-Clause. % 0.19/0.62 % 0.19/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/0.62 % 0.19/0.62 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.19/0.63 Running up to 7 provers in parallel. % 0.19/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.19/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.19/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.19/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.19/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.19/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.19/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 5.02/1.45 Prover 4: Preprocessing ... % 5.02/1.45 Prover 1: Preprocessing ... % 5.39/1.48 Prover 5: Preprocessing ... % 5.39/1.48 Prover 3: Preprocessing ... % 5.39/1.48 Prover 6: Preprocessing ... % 5.39/1.48 Prover 0: Preprocessing ... % 5.39/1.48 Prover 2: Preprocessing ... % 11.80/2.36 Prover 5: Proving ... % 11.80/2.38 Prover 2: Proving ... % 11.80/2.40 Prover 1: Warning: ignoring some quantifiers % 12.48/2.47 Prover 3: Warning: ignoring some quantifiers % 12.48/2.48 Prover 1: Constructing countermodel ... % 12.48/2.48 Prover 6: Proving ... % 12.95/2.50 Prover 3: Constructing countermodel ... % 15.43/2.82 Prover 4: Constructing countermodel ... % 15.95/2.90 Prover 0: Proving ... % 17.07/3.09 Prover 3: gave up % 17.07/3.10 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 18.53/3.29 Prover 7: Preprocessing ... % 19.87/3.41 Prover 7: Warning: ignoring some quantifiers % 19.87/3.44 Prover 7: Constructing countermodel ... % 21.67/3.65 Prover 5: proved (2998ms) % 21.67/3.65 % 21.67/3.65 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 21.67/3.65 % 21.67/3.65 Prover 2: stopped % 21.67/3.65 Prover 0: stopped % 21.74/3.67 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 21.74/3.67 Prover 6: stopped % 21.74/3.67 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 21.74/3.67 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 21.74/3.69 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 22.53/3.80 Prover 13: Preprocessing ... % 22.53/3.83 Prover 10: Preprocessing ... % 22.53/3.83 Prover 8: Preprocessing ... % 22.53/3.86 Prover 11: Preprocessing ... % 23.54/3.99 Prover 13: Warning: ignoring some quantifiers % 23.54/4.01 Prover 10: Warning: ignoring some quantifiers % 24.41/4.03 Prover 13: Constructing countermodel ... % 24.41/4.03 Prover 7: Found proof (size 39) % 24.41/4.03 Prover 7: proved (930ms) % 24.41/4.03 Prover 11: stopped % 24.41/4.03 Prover 4: stopped % 24.41/4.03 Prover 1: stopped % 24.41/4.03 Prover 10: Constructing countermodel ... % 24.41/4.04 Prover 13: stopped % 24.41/4.05 Prover 10: stopped % 24.77/4.10 Prover 8: Warning: ignoring some quantifiers % 24.77/4.11 Prover 8: Constructing countermodel ... % 24.77/4.12 Prover 8: stopped % 24.77/4.12 % 24.77/4.12 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 24.77/4.12 % 24.77/4.13 % SZS output start Proof for theBenchmark % 24.77/4.14 Assumptions after simplification: % 24.77/4.14 --------------------------------- % 24.77/4.14 % 24.77/4.14 (aA3) % 24.77/4.14 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ $i(v2) | ~ $i(v1) | % 24.77/4.14 ~ $i(v0) | ~ s_e(v0, v1, v2, v2)) % 24.77/4.14 % 24.77/4.14 (aA4) % 25.16/4.16 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 25.16/4.16 (ext(v0, v1, v2, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 25.16/4.16 s_t(v0, v1, v4)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : % 25.16/4.16 ! [v4: $i] : ( ~ (ext(v0, v1, v2, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~ % 25.16/4.16 $i(v1) | ~ $i(v0) | s_e(v1, v4, v2, v3)) % 25.16/4.16 % 25.16/4.16 (aSatz2_13) % 25.16/4.16 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ $i(v2) | ~ $i(v1) | % 25.16/4.16 ~ $i(v0) | ~ s_e(v0, v1, v2, v2)) % 25.16/4.16 % 25.16/4.16 (aSatz2_2) % 25.16/4.16 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) % 25.16/4.16 | ~ $i(v1) | ~ $i(v0) | ~ s_e(v0, v1, v2, v3) | s_e(v2, v3, v0, v1)) % 25.16/4.16 % 25.16/4.16 (aSatz3_14b) % 25.16/4.16 $i(gamma) & $i(alpha) & ! [v0: $i] : ! [v1: $i] : ( ~ (ext(v1, v0, alpha, % 25.16/4.16 gamma) = v0) | ~ $i(v1) | ~ $i(v0)) % 25.16/4.16 % 25.16/4.16 (aSatz3_2) % 25.16/4.16 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 25.16/4.16 ~ s_t(v0, v1, v2) | s_t(v2, v1, v0)) % 25.16/4.16 % 25.16/4.16 (aSatz5_1) % 25.16/4.17 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ $i(v3) | % 25.16/4.17 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ s_t(v0, v1, v3) | ~ s_t(v0, v1, v2) % 25.16/4.17 | s_t(v0, v3, v2) | s_t(v0, v2, v3)) % 25.16/4.17 % 25.16/4.17 (aSatz6_11a) % 25.16/4.17 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ( ~ (v3 % 25.16/4.17 = v2) & ~ (v1 = v0) & insert(v2, v3, v1, v0) = v4 & $i(v4) & $i(v3) & % 25.16/4.17 $i(v2) & $i(v1) & $i(v0) & ( ~ sameside(v4, v1, v0) | ~ s_e(v1, v4, v2, % 25.16/4.17 v3))) % 25.16/4.17 % 25.16/4.17 (aSatz6_2a) % 25.16/4.17 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v1 | v2 = v1 | % 25.16/4.17 v1 = v0 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ s_t(v2, v1, v3) % 25.16/4.17 | ~ s_t(v0, v1, v3) | sameside(v0, v1, v2)) % 25.16/4.17 % 25.16/4.17 (aSatz6_3b) % 25.16/4.17 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v1 | v2 = v1 | % 25.16/4.17 v1 = v0 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ s_t(v2, v1, v3) % 25.16/4.17 | ~ s_t(v0, v1, v3) | sameside(v0, v1, v2)) % 25.16/4.17 % 25.16/4.17 (d_insert) % 25.16/4.17 $i(gamma) & $i(alpha) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] % 25.16/4.17 : ! [v4: $i] : ! [v5: $i] : ( ~ (ext(v4, v2, v0, v1) = v5) | ~ (ext(v3, v2, % 25.16/4.17 alpha, gamma) = v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 25.16/4.17 (insert(v0, v1, v2, v3) = v5 & $i(v5))) & ! [v0: $i] : ! [v1: $i] : ! % 25.16/4.17 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (insert(v0, v1, v2, v3) = v4) | ~ % 25.16/4.17 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : (ext(v5, v2, v0, % 25.16/4.17 v1) = v4 & ext(v3, v2, alpha, gamma) = v5 & $i(v5) & $i(v4))) % 25.16/4.17 % 25.16/4.17 Further assumptions not needed in the proof: % 25.16/4.17 -------------------------------------------- % 25.16/4.17 aA1, aA2, aA5, aA6, aA7, aA8, aNarbouxLemma1, aSatz2_1, aSatz2_11, aSatz2_12, % 25.16/4.17 aSatz2_14, aSatz2_15, aSatz2_3, aSatz2_4, aSatz2_5, aSatz2_8, aSatz3_1, % 25.16/4.17 aSatz3_13a, aSatz3_13b, aSatz3_13c, aSatz3_14a, aSatz3_17, aSatz3_3, aSatz3_4, % 25.16/4.17 aSatz3_5a, aSatz3_5b, aSatz3_6a, aSatz3_6b, aSatz3_7a, aSatz3_7b, aSatz4_11a, % 25.16/4.17 aSatz4_11b, aSatz4_11c, aSatz4_11d, aSatz4_11e, aSatz4_12, aSatz4_12b, % 25.16/4.17 aSatz4_13, aSatz4_14, aSatz4_16, aSatz4_17, aSatz4_18, aSatz4_19, aSatz4_2, % 25.16/4.17 aSatz4_3, aSatz4_5, aSatz4_6, aSatz5_10, aSatz5_11, aSatz5_12a1, aSatz5_12a2, % 25.16/4.17 aSatz5_12b, aSatz5_2, aSatz5_3, aSatz5_5a, aSatz5_5b, aSatz5_6, aSatz5_7, % 25.16/4.17 aSatz5_8, aSatz5_9, aSatz6_2b, aSatz6_3a, aSatz6_4a, aSatz6_4b, aSatz6_5, % 25.16/4.17 aSatz6_6, aSatz6_7, d_Defn2_10, d_Defn4_1, d_Defn4_10, d_Defn4_15, d_Defn4_4, % 25.16/4.17 d_Defn5_4, d_Defn6_1 % 25.16/4.17 % 25.16/4.17 Those formulas are unsatisfiable: % 25.16/4.17 --------------------------------- % 25.16/4.17 % 25.16/4.17 Begin of proof % 25.16/4.17 | % 25.16/4.17 | ALPHA: (aA4) implies: % 25.16/4.18 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( % 25.16/4.18 | ~ (ext(v0, v1, v2, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 25.16/4.18 | $i(v0) | s_e(v1, v4, v2, v3)) % 25.16/4.18 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( % 25.16/4.18 | ~ (ext(v0, v1, v2, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 25.16/4.18 | $i(v0) | s_t(v0, v1, v4)) % 25.16/4.18 | % 25.16/4.18 | ALPHA: (aSatz3_14b) implies: % 25.16/4.18 | (3) ! [v0: $i] : ! [v1: $i] : ( ~ (ext(v1, v0, alpha, gamma) = v0) | ~ % 25.16/4.18 | $i(v1) | ~ $i(v0)) % 25.16/4.18 | % 25.16/4.18 | ALPHA: (d_insert) implies: % 25.16/4.18 | (4) $i(alpha) % 25.16/4.18 | (5) $i(gamma) % 25.16/4.18 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( % 25.16/4.18 | ~ (insert(v0, v1, v2, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | % 25.16/4.18 | ~ $i(v0) | ? [v5: $i] : (ext(v5, v2, v0, v1) = v4 & ext(v3, v2, % 25.16/4.18 | alpha, gamma) = v5 & $i(v5) & $i(v4))) % 25.16/4.18 | % 25.16/4.18 | DELTA: instantiating (aSatz6_11a) with fresh symbols all_84_0, all_84_1, % 25.16/4.18 | all_84_2, all_84_3, all_84_4 gives: % 25.16/4.18 | (7) ~ (all_84_1 = all_84_2) & ~ (all_84_3 = all_84_4) & insert(all_84_2, % 25.16/4.18 | all_84_1, all_84_3, all_84_4) = all_84_0 & $i(all_84_0) & % 25.16/4.18 | $i(all_84_1) & $i(all_84_2) & $i(all_84_3) & $i(all_84_4) & ( ~ % 25.16/4.18 | sameside(all_84_0, all_84_3, all_84_4) | ~ s_e(all_84_3, all_84_0, % 25.16/4.18 | all_84_2, all_84_1)) % 25.16/4.18 | % 25.16/4.18 | ALPHA: (7) implies: % 25.16/4.18 | (8) ~ (all_84_3 = all_84_4) % 25.16/4.18 | (9) ~ (all_84_1 = all_84_2) % 25.16/4.18 | (10) $i(all_84_4) % 25.16/4.18 | (11) $i(all_84_3) % 25.16/4.18 | (12) $i(all_84_2) % 25.16/4.18 | (13) $i(all_84_1) % 25.16/4.18 | (14) insert(all_84_2, all_84_1, all_84_3, all_84_4) = all_84_0 % 25.16/4.18 | (15) ~ sameside(all_84_0, all_84_3, all_84_4) | ~ s_e(all_84_3, all_84_0, % 25.16/4.18 | all_84_2, all_84_1) % 25.16/4.18 | % 25.16/4.18 | GROUND_INST: instantiating (6) with all_84_2, all_84_1, all_84_3, all_84_4, % 25.16/4.18 | all_84_0, simplifying with (10), (11), (12), (13), (14) gives: % 25.16/4.18 | (16) ? [v0: $i] : (ext(v0, all_84_3, all_84_2, all_84_1) = all_84_0 & % 25.16/4.18 | ext(all_84_4, all_84_3, alpha, gamma) = v0 & $i(v0) & $i(all_84_0)) % 25.16/4.18 | % 25.16/4.18 | DELTA: instantiating (16) with fresh symbol all_91_0 gives: % 25.16/4.18 | (17) ext(all_91_0, all_84_3, all_84_2, all_84_1) = all_84_0 & ext(all_84_4, % 25.16/4.18 | all_84_3, alpha, gamma) = all_91_0 & $i(all_91_0) & $i(all_84_0) % 25.16/4.18 | % 25.16/4.18 | ALPHA: (17) implies: % 25.16/4.18 | (18) $i(all_84_0) % 25.16/4.18 | (19) $i(all_91_0) % 25.16/4.18 | (20) ext(all_84_4, all_84_3, alpha, gamma) = all_91_0 % 25.16/4.18 | (21) ext(all_91_0, all_84_3, all_84_2, all_84_1) = all_84_0 % 25.16/4.18 | % 25.16/4.18 | GROUND_INST: instantiating (3) with all_84_3, all_84_4, simplifying with (10), % 25.16/4.18 | (11) gives: % 25.16/4.19 | (22) ~ (ext(all_84_4, all_84_3, alpha, gamma) = all_84_3) % 25.16/4.19 | % 25.32/4.19 | GROUND_INST: instantiating (2) with all_84_4, all_84_3, alpha, gamma, % 25.32/4.19 | all_91_0, simplifying with (4), (5), (10), (11), (20) gives: % 25.32/4.19 | (23) s_t(all_84_4, all_84_3, all_91_0) % 25.32/4.19 | % 25.32/4.19 | GROUND_INST: instantiating (2) with all_91_0, all_84_3, all_84_2, all_84_1, % 25.32/4.19 | all_84_0, simplifying with (11), (12), (13), (19), (21) gives: % 25.32/4.19 | (24) s_t(all_91_0, all_84_3, all_84_0) % 25.32/4.19 | % 25.32/4.19 | GROUND_INST: instantiating (1) with all_91_0, all_84_3, all_84_2, all_84_1, % 25.32/4.19 | all_84_0, simplifying with (11), (12), (13), (19), (21) gives: % 25.32/4.19 | (25) s_e(all_84_3, all_84_0, all_84_2, all_84_1) % 25.32/4.19 | % 25.32/4.19 | BETA: splitting (15) gives: % 25.32/4.19 | % 25.32/4.19 | Case 1: % 25.32/4.19 | | % 25.32/4.19 | | (26) ~ sameside(all_84_0, all_84_3, all_84_4) % 25.32/4.19 | | % 25.32/4.19 | | PRED_UNIFY: (20), (22) imply: % 25.32/4.19 | | (27) ~ (all_91_0 = all_84_3) % 25.32/4.19 | | % 25.32/4.19 | | GROUND_INST: instantiating (aSatz2_2) with all_84_3, all_84_0, all_84_2, % 25.32/4.19 | | all_84_1, simplifying with (11), (12), (13), (18), (25) gives: % 25.32/4.19 | | (28) s_e(all_84_2, all_84_1, all_84_3, all_84_0) % 25.32/4.19 | | % 25.32/4.19 | | GROUND_INST: instantiating (aSatz5_1) with all_91_0, all_84_3, all_84_0, % 25.32/4.19 | | all_84_0, simplifying with (11), (18), (19), (24) gives: % 25.32/4.19 | | (29) all_91_0 = all_84_3 | s_t(all_91_0, all_84_0, all_84_0) % 25.32/4.19 | | % 25.32/4.19 | | GROUND_INST: instantiating (aSatz3_2) with all_91_0, all_84_3, all_84_0, % 25.32/4.19 | | simplifying with (11), (18), (19), (24) gives: % 25.32/4.19 | | (30) s_t(all_84_0, all_84_3, all_91_0) % 25.32/4.19 | | % 25.32/4.19 | | BETA: splitting (29) gives: % 25.32/4.19 | | % 25.32/4.19 | | Case 1: % 25.32/4.19 | | | % 25.32/4.19 | | | % 25.32/4.19 | | | GROUND_INST: instantiating (aSatz2_13) with all_84_2, all_84_1, all_84_3, % 25.32/4.19 | | | simplifying with (11), (12), (13) gives: % 25.32/4.19 | | | (31) all_84_1 = all_84_2 | ~ s_e(all_84_2, all_84_1, all_84_3, % 25.32/4.19 | | | all_84_3) % 25.32/4.19 | | | % 25.32/4.19 | | | GROUND_INST: instantiating (aSatz6_3b) with all_84_0, all_84_3, all_84_4, % 25.32/4.19 | | | all_91_0, simplifying with (10), (11), (18), (19), (23), % 25.32/4.19 | | | (26), (30) gives: % 25.32/4.19 | | | (32) all_91_0 = all_84_3 | all_84_0 = all_84_3 | all_84_3 = all_84_4 % 25.32/4.19 | | | % 25.32/4.19 | | | BETA: splitting (32) gives: % 25.32/4.19 | | | % 25.32/4.19 | | | Case 1: % 25.32/4.19 | | | | % 25.32/4.19 | | | | (33) all_91_0 = all_84_3 % 25.32/4.19 | | | | % 25.32/4.19 | | | | REDUCE: (27), (33) imply: % 25.32/4.19 | | | | (34) $false % 25.32/4.19 | | | | % 25.32/4.19 | | | | CLOSE: (34) is inconsistent. % 25.32/4.19 | | | | % 25.32/4.19 | | | Case 2: % 25.32/4.19 | | | | % 25.32/4.19 | | | | (35) all_84_0 = all_84_3 | all_84_3 = all_84_4 % 25.32/4.19 | | | | % 25.32/4.19 | | | | BETA: splitting (35) gives: % 25.32/4.19 | | | | % 25.32/4.19 | | | | Case 1: % 25.32/4.19 | | | | | % 25.32/4.19 | | | | | (36) all_84_0 = all_84_3 % 25.32/4.19 | | | | | % 25.32/4.19 | | | | | REDUCE: (28), (36) imply: % 25.32/4.19 | | | | | (37) s_e(all_84_2, all_84_1, all_84_3, all_84_3) % 25.32/4.19 | | | | | % 25.32/4.19 | | | | | BETA: splitting (31) gives: % 25.32/4.19 | | | | | % 25.32/4.19 | | | | | Case 1: % 25.32/4.19 | | | | | | % 25.32/4.19 | | | | | | (38) ~ s_e(all_84_2, all_84_1, all_84_3, all_84_3) % 25.32/4.19 | | | | | | % 25.32/4.19 | | | | | | PRED_UNIFY: (37), (38) imply: % 25.32/4.19 | | | | | | (39) $false % 25.32/4.19 | | | | | | % 25.32/4.19 | | | | | | CLOSE: (39) is inconsistent. % 25.32/4.19 | | | | | | % 25.32/4.19 | | | | | Case 2: % 25.32/4.19 | | | | | | % 25.32/4.19 | | | | | | (40) all_84_1 = all_84_2 % 25.32/4.19 | | | | | | % 25.32/4.19 | | | | | | REDUCE: (9), (40) imply: % 25.32/4.20 | | | | | | (41) $false % 25.32/4.20 | | | | | | % 25.32/4.20 | | | | | | CLOSE: (41) is inconsistent. % 25.32/4.20 | | | | | | % 25.32/4.20 | | | | | End of split % 25.32/4.20 | | | | | % 25.32/4.20 | | | | Case 2: % 25.32/4.20 | | | | | % 25.32/4.20 | | | | | (42) all_84_3 = all_84_4 % 25.32/4.20 | | | | | % 25.32/4.20 | | | | | REDUCE: (8), (42) imply: % 25.32/4.20 | | | | | (43) $false % 25.32/4.20 | | | | | % 25.32/4.20 | | | | | CLOSE: (43) is inconsistent. % 25.32/4.20 | | | | | % 25.32/4.20 | | | | End of split % 25.32/4.20 | | | | % 25.32/4.20 | | | End of split % 25.32/4.20 | | | % 25.32/4.20 | | Case 2: % 25.32/4.20 | | | % 25.32/4.20 | | | (44) all_91_0 = all_84_3 % 25.32/4.20 | | | % 25.32/4.20 | | | REDUCE: (27), (44) imply: % 25.32/4.20 | | | (45) $false % 25.32/4.20 | | | % 25.32/4.20 | | | CLOSE: (45) is inconsistent. % 25.32/4.20 | | | % 25.32/4.20 | | End of split % 25.32/4.20 | | % 25.32/4.20 | Case 2: % 25.32/4.20 | | % 25.32/4.20 | | (46) ~ s_e(all_84_3, all_84_0, all_84_2, all_84_1) % 25.32/4.20 | | % 25.32/4.20 | | PRED_UNIFY: (25), (46) imply: % 25.32/4.20 | | (47) $false % 25.32/4.20 | | % 25.32/4.20 | | CLOSE: (47) is inconsistent. % 25.32/4.20 | | % 25.32/4.20 | End of split % 25.32/4.20 | % 25.32/4.20 End of proof % 25.32/4.20 % SZS output end Proof for theBenchmark % 25.32/4.20 % 25.32/4.20 3578ms %------------------------------------------------------------------------------