%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : LAT289+1 : TPTP v8.1.2. Released v3.4.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n025.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 : Thu Aug 31 06:24:25 EDT 2023 % Result : Theorem 22.98s 3.87s % Output : Proof 32.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : LAT289+1 : TPTP v8.1.2. Released v3.4.0. % 0.00/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.15/0.35 % Computer : n025.cluster.edu % 0.15/0.35 % Model : x86_64 x86_64 % 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.35 % Memory : 8042.1875MB % 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.35 % CPULimit : 300 % 0.15/0.35 % WCLimit : 300 % 0.15/0.35 % DateTime : Thu Aug 24 07:46:06 EDT 2023 % 0.15/0.36 % CPUTime : % 0.22/0.63 ________ _____ % 0.22/0.63 ___ __ \_________(_)________________________________ % 0.22/0.63 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.22/0.63 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.22/0.63 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.22/0.63 % 0.22/0.63 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.22/0.63 (2023-06-19) % 0.22/0.63 % 0.22/0.63 (c) Philipp Rümmer, 2009-2023 % 0.22/0.63 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.22/0.63 Amanda Stjerna. % 0.22/0.63 Free software under BSD-3-Clause. % 0.22/0.63 % 0.22/0.63 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.22/0.63 % 0.22/0.63 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.22/0.64 Running up to 7 provers in parallel. % 0.22/0.66 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.22/0.66 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.22/0.66 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.22/0.66 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.22/0.66 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.22/0.66 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 0.22/0.66 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 3.59/1.33 Prover 4: Preprocessing ... % 3.59/1.33 Prover 1: Preprocessing ... % 4.10/1.36 Prover 3: Preprocessing ... % 4.10/1.36 Prover 2: Preprocessing ... % 4.10/1.36 Prover 0: Preprocessing ... % 4.10/1.36 Prover 5: Preprocessing ... % 4.10/1.37 Prover 6: Preprocessing ... % 10.21/2.15 Prover 5: Proving ... % 10.69/2.19 Prover 1: Warning: ignoring some quantifiers % 10.69/2.23 Prover 2: Proving ... % 11.30/2.28 Prover 1: Constructing countermodel ... % 11.30/2.29 Prover 6: Proving ... % 11.30/2.30 Prover 3: Warning: ignoring some quantifiers % 11.75/2.37 Prover 3: Constructing countermodel ... % 16.48/3.01 Prover 4: Warning: ignoring some quantifiers % 17.68/3.14 Prover 4: Constructing countermodel ... % 19.07/3.36 Prover 0: Proving ... % 22.98/3.86 Prover 5: proved (3201ms) % 22.98/3.86 % 22.98/3.87 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 22.98/3.87 % 22.98/3.87 Prover 3: stopped % 22.98/3.87 Prover 2: stopped % 22.98/3.88 Prover 0: stopped % 22.98/3.89 Prover 6: stopped % 22.98/3.90 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 22.98/3.90 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 22.98/3.90 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 22.98/3.90 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 22.98/3.90 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 24.54/4.07 Prover 7: Preprocessing ... % 24.74/4.09 Prover 8: Preprocessing ... % 24.74/4.10 Prover 11: Preprocessing ... % 25.17/4.15 Prover 10: Preprocessing ... % 25.40/4.16 Prover 13: Preprocessing ... % 25.40/4.19 Prover 7: Warning: ignoring some quantifiers % 25.40/4.21 Prover 7: Constructing countermodel ... % 26.34/4.28 Prover 8: Warning: ignoring some quantifiers % 26.34/4.30 Prover 8: Constructing countermodel ... % 26.87/4.35 Prover 10: Warning: ignoring some quantifiers % 26.87/4.36 Prover 10: Constructing countermodel ... % 27.45/4.45 Prover 13: Warning: ignoring some quantifiers % 27.68/4.47 Prover 13: Constructing countermodel ... % 31.80/5.01 Prover 10: Found proof (size 54) % 31.80/5.01 Prover 10: proved (1127ms) % 31.80/5.01 Prover 7: stopped % 31.80/5.01 Prover 13: stopped % 31.80/5.01 Prover 8: stopped % 31.80/5.01 Prover 1: stopped % 31.80/5.02 Prover 4: stopped % 32.14/5.15 Prover 11: Warning: ignoring some quantifiers % 32.53/5.18 Prover 11: Constructing countermodel ... % 32.53/5.19 Prover 11: stopped % 32.53/5.19 % 32.53/5.19 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 32.53/5.19 % 32.63/5.19 % SZS output start Proof for theBenchmark % 32.63/5.20 Assumptions after simplification: % 32.63/5.20 --------------------------------- % 32.63/5.20 % 32.63/5.20 (dt_k7_lopclset) % 32.63/5.22 ! [v0: $i] : ! [v1: $i] : ( ~ (k7_lopclset(v0) = v1) | ~ $i(v0) | ~ % 32.63/5.22 l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) | % 32.63/5.22 v3_realset2(v0) | v3_struct_0(v0) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] % 32.63/5.22 : (u1_struct_0(v0) = v2 & k1_zfmisc_1(v3) = v4 & k1_zfmisc_1(v2) = v3 & % 32.63/5.23 $i(v4) & $i(v3) & $i(v2) & m1_subset_1(v1, v4))) % 32.63/5.23 % 32.63/5.23 (dt_k9_lopclset) % 32.63/5.23 ! [v0: $i] : ! [v1: $i] : ( ~ (k9_lopclset(v0) = v1) | ~ $i(v0) | ~ % 32.63/5.23 l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) | v1_funct_1(v1) % 32.63/5.23 | v3_realset2(v0) | v3_struct_0(v0)) & ! [v0: $i] : ! [v1: $i] : ( ~ % 32.63/5.23 (k9_lopclset(v0) = v1) | ~ $i(v0) | ~ l3_lattices(v0) | ~ % 32.63/5.23 v17_lattices(v0) | ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0) | % 32.63/5.23 ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : (k7_lopclset(v0) = v3 & % 32.63/5.23 u1_struct_0(v0) = v2 & k1_zfmisc_1(v3) = v4 & $i(v4) & $i(v3) & $i(v2) & % 32.63/5.23 m2_relset_1(v1, v2, v4) & v1_funct_2(v1, v2, v4))) % 32.63/5.23 % 32.63/5.23 (dt_l2_lattices) % 32.63/5.23 ! [v0: $i] : ( ~ $i(v0) | ~ l2_lattices(v0) | l1_struct_0(v0)) % 32.63/5.23 % 32.63/5.23 (dt_l3_lattices) % 32.63/5.23 ! [v0: $i] : ( ~ $i(v0) | ~ l3_lattices(v0) | l2_lattices(v0)) & ! [v0: $i] % 32.63/5.23 : ( ~ $i(v0) | ~ l3_lattices(v0) | l1_lattices(v0)) % 32.63/5.23 % 32.63/5.23 (fc1_struct_0) % 32.63/5.23 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~ % 32.63/5.23 l1_struct_0(v0) | ~ v1_xboole_0(v1) | v3_struct_0(v0)) % 32.63/5.23 % 32.63/5.23 (redefinition_k8_funct_2) % 32.63/5.23 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 32.63/5.23 (k8_funct_2(v0, v1, v2, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 32.63/5.23 $i(v0) | ~ v1_funct_2(v2, v0, v1) | ~ v1_funct_1(v2) | ~ m1_relset_1(v2, % 32.63/5.23 v0, v1) | ~ m1_subset_1(v3, v0) | v1_xboole_0(v0) | (k1_funct_1(v2, v3) = % 32.63/5.23 v4 & $i(v4))) % 32.63/5.23 % 32.63/5.23 (redefinition_k9_lopclset) % 32.63/5.23 ! [v0: $i] : ! [v1: $i] : ( ~ (k9_lopclset(v0) = v1) | ~ $i(v0) | ~ % 32.63/5.23 l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) | % 32.63/5.23 v3_realset2(v0) | v3_struct_0(v0) | (k8_lopclset(v0) = v1 & $i(v1))) % 32.63/5.23 % 32.63/5.23 (redefinition_m2_relset_1) % 32.63/5.24 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 32.63/5.24 ~ m2_relset_1(v2, v0, v1) | m1_relset_1(v2, v0, v1)) & ! [v0: $i] : ! % 32.63/5.24 [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 32.63/5.24 m1_relset_1(v2, v0, v1) | m2_relset_1(v2, v0, v1)) % 32.63/5.24 % 32.63/5.24 (t21_lopclset) % 32.63/5.24 ! [v0: $i] : ! [v1: $i] : ( ~ (k8_lopclset(v0) = v1) | ~ $i(v0) | ~ % 32.63/5.24 l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) | % 32.63/5.24 v3_realset2(v0) | v3_struct_0(v0) | ? [v2: $i] : (u1_struct_0(v0) = v2 & % 32.63/5.24 $i(v2) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (k1_funct_1(v1, v3) % 32.63/5.24 = v4) | ~ $i(v5) | ~ $i(v3) | ~ r2_hidden(v5, v4) | ~ % 32.63/5.24 m1_filter_0(v5, v0) | ~ m1_subset_1(v3, v2) | r2_hidden(v3, v5)) & ! % 32.63/5.24 [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (k1_funct_1(v1, v3) = v4) | ~ % 32.63/5.24 $i(v5) | ~ $i(v3) | ~ r2_hidden(v5, v4) | ~ m1_filter_0(v5, v0) | ~ % 32.63/5.24 m1_subset_1(v3, v2) | v1_filter_0(v5, v0)) & ! [v3: $i] : ! [v4: $i] : % 32.63/5.24 ! [v5: $i] : ( ~ (k1_funct_1(v1, v3) = v4) | ~ $i(v5) | ~ $i(v3) | ~ % 32.63/5.24 r2_hidden(v3, v5) | ~ v1_filter_0(v5, v0) | ~ m1_filter_0(v5, v0) | ~ % 32.63/5.24 m1_subset_1(v3, v2) | r2_hidden(v5, v4)))) % 32.63/5.24 % 32.63/5.24 (t27_lopclset) % 32.63/5.24 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: % 32.63/5.24 $i] : ? [v6: $i] : ? [v7: $i] : (k7_lopclset(v0) = v2 & k9_lopclset(v0) = % 32.63/5.24 v4 & k8_funct_2(v1, v3, v4, v5) = v6 & u1_struct_0(v0) = v1 & % 32.63/5.24 k1_zfmisc_1(v2) = v3 & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & % 32.63/5.24 $i(v1) & $i(v0) & r2_hidden(v5, v7) & v1_filter_0(v7, v0) & m1_filter_0(v7, % 32.63/5.24 v0) & m1_subset_1(v5, v1) & l3_lattices(v0) & v17_lattices(v0) & % 32.63/5.24 v10_lattices(v0) & ~ r2_hidden(v7, v6) & ~ v3_realset2(v0) & ~ % 32.63/5.24 v3_struct_0(v0)) % 32.63/5.24 % 32.63/5.24 (t2_subset) % 32.63/5.24 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ m1_subset_1(v0, v1) | % 32.63/5.24 v1_xboole_0(v1) | r2_hidden(v0, v1)) % 32.63/5.24 % 32.63/5.24 (function-axioms) % 32.63/5.25 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 32.63/5.25 $i] : (v1 = v0 | ~ (k8_funct_2(v5, v4, v3, v2) = v1) | ~ (k8_funct_2(v5, % 32.63/5.25 v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 32.63/5.25 $i] : (v1 = v0 | ~ (k1_funct_1(v3, v2) = v1) | ~ (k1_funct_1(v3, v2) = % 32.63/5.25 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | % 32.63/5.25 ~ (k2_zfmisc_1(v3, v2) = v1) | ~ (k2_zfmisc_1(v3, v2) = v0)) & ! [v0: $i] % 32.63/5.25 : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (k7_lopclset(v2) = v1) | ~ % 32.63/5.25 (k7_lopclset(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 % 32.63/5.25 | ~ (k9_lopclset(v2) = v1) | ~ (k9_lopclset(v2) = v0)) & ! [v0: $i] : ! % 32.63/5.25 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (k8_lopclset(v2) = v1) | ~ % 32.63/5.25 (k8_lopclset(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 % 32.63/5.25 | ~ (a_1_1_lopclset(v2) = v1) | ~ (a_1_1_lopclset(v2) = v0)) & ! [v0: $i] % 32.63/5.25 : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (u1_struct_0(v2) = v1) | ~ % 32.63/5.25 (u1_struct_0(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 % 32.63/5.25 | ~ (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0)) % 32.63/5.25 % 32.63/5.25 Further assumptions not needed in the proof: % 32.63/5.25 -------------------------------------------- % 32.63/5.25 antisymmetry_r2_hidden, cc10_membered, cc11_membered, cc12_membered, % 32.63/5.25 cc13_membered, cc14_membered, cc15_membered, cc16_membered, cc17_membered, % 32.63/5.25 cc18_membered, cc19_membered, cc1_finset_1, cc1_finsub_1, cc1_funct_2, % 32.63/5.25 cc1_lattices, cc1_membered, cc1_relset_1, cc20_membered, cc2_finset_1, % 32.63/5.25 cc2_finsub_1, cc2_lattices, cc2_membered, cc3_lattices, cc3_membered, % 32.63/5.25 cc4_lattices, cc4_membered, cc5_funct_2, cc5_lattices, cc6_funct_2, % 32.63/5.25 cc6_lattices, cc7_lattices, d5_lopclset, dt_k1_funct_1, dt_k1_xboole_0, % 32.63/5.25 dt_k1_zfmisc_1, dt_k2_zfmisc_1, dt_k8_funct_2, dt_k8_lopclset, dt_l1_lattices, % 32.63/5.25 dt_l1_struct_0, dt_m1_filter_0, dt_m1_relset_1, dt_m1_subset_1, dt_m2_relset_1, % 32.63/5.25 dt_u1_struct_0, existence_l1_lattices, existence_l1_struct_0, % 32.63/5.25 existence_l2_lattices, existence_l3_lattices, existence_m1_filter_0, % 32.63/5.25 existence_m1_relset_1, existence_m1_subset_1, existence_m2_relset_1, % 32.63/5.25 fc14_finset_1, fc1_finsub_1, fc2_lopclset, fc6_membered, % 32.63/5.25 fraenkel_a_1_1_lopclset, rc1_finset_1, rc1_funct_2, rc1_lopclset, rc1_membered, % 32.63/5.25 rc2_partfun1, rc3_finset_1, rc3_struct_0, rc4_finset_1, rc5_struct_0, % 32.63/5.25 reflexivity_r1_tarski, t1_subset, t2_tarski, t3_subset, t4_subset, t5_subset, % 32.63/5.25 t6_boole, t7_boole, t8_boole % 32.63/5.25 % 32.63/5.25 Those formulas are unsatisfiable: % 32.63/5.25 --------------------------------- % 32.63/5.25 % 32.63/5.25 Begin of proof % 32.63/5.25 | % 32.63/5.25 | ALPHA: (redefinition_m2_relset_1) implies: % 32.63/5.25 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ % 32.63/5.25 | $i(v0) | ~ m2_relset_1(v2, v0, v1) | m1_relset_1(v2, v0, v1)) % 32.63/5.25 | % 32.63/5.25 | ALPHA: (dt_k9_lopclset) implies: % 32.63/5.25 | (2) ! [v0: $i] : ! [v1: $i] : ( ~ (k9_lopclset(v0) = v1) | ~ $i(v0) | ~ % 32.63/5.25 | l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) | % 32.63/5.25 | v3_realset2(v0) | v3_struct_0(v0) | ? [v2: $i] : ? [v3: $i] : ? % 32.63/5.25 | [v4: $i] : (k7_lopclset(v0) = v3 & u1_struct_0(v0) = v2 & % 32.63/5.25 | k1_zfmisc_1(v3) = v4 & $i(v4) & $i(v3) & $i(v2) & m2_relset_1(v1, % 32.63/5.25 | v2, v4) & v1_funct_2(v1, v2, v4))) % 32.63/5.25 | (3) ! [v0: $i] : ! [v1: $i] : ( ~ (k9_lopclset(v0) = v1) | ~ $i(v0) | ~ % 32.63/5.25 | l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) | % 32.63/5.25 | v1_funct_1(v1) | v3_realset2(v0) | v3_struct_0(v0)) % 32.63/5.25 | % 32.63/5.25 | ALPHA: (dt_l3_lattices) implies: % 32.63/5.25 | (4) ! [v0: $i] : ( ~ $i(v0) | ~ l3_lattices(v0) | l2_lattices(v0)) % 32.63/5.25 | % 32.63/5.25 | ALPHA: (function-axioms) implies: % 32.63/5.25 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 32.63/5.25 | (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0)) % 32.63/5.25 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 32.63/5.25 | (u1_struct_0(v2) = v1) | ~ (u1_struct_0(v2) = v0)) % 32.63/5.25 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 32.63/5.25 | (k7_lopclset(v2) = v1) | ~ (k7_lopclset(v2) = v0)) % 32.63/5.25 | % 32.63/5.25 | DELTA: instantiating (t27_lopclset) with fresh symbols all_90_0, all_90_1, % 32.63/5.25 | all_90_2, all_90_3, all_90_4, all_90_5, all_90_6, all_90_7 gives: % 32.63/5.26 | (8) k7_lopclset(all_90_7) = all_90_5 & k9_lopclset(all_90_7) = all_90_3 & % 32.63/5.26 | k8_funct_2(all_90_6, all_90_4, all_90_3, all_90_2) = all_90_1 & % 32.63/5.26 | u1_struct_0(all_90_7) = all_90_6 & k1_zfmisc_1(all_90_5) = all_90_4 & % 32.63/5.26 | $i(all_90_0) & $i(all_90_1) & $i(all_90_2) & $i(all_90_3) & % 32.63/5.26 | $i(all_90_4) & $i(all_90_5) & $i(all_90_6) & $i(all_90_7) & % 32.63/5.26 | r2_hidden(all_90_2, all_90_0) & v1_filter_0(all_90_0, all_90_7) & % 32.63/5.26 | m1_filter_0(all_90_0, all_90_7) & m1_subset_1(all_90_2, all_90_6) & % 32.63/5.26 | l3_lattices(all_90_7) & v17_lattices(all_90_7) & v10_lattices(all_90_7) % 32.63/5.26 | & ~ r2_hidden(all_90_0, all_90_1) & ~ v3_realset2(all_90_7) & ~ % 32.63/5.26 | v3_struct_0(all_90_7) % 32.63/5.26 | % 32.63/5.26 | ALPHA: (8) implies: % 32.63/5.26 | (9) ~ v3_struct_0(all_90_7) % 32.63/5.26 | (10) ~ v3_realset2(all_90_7) % 32.63/5.26 | (11) ~ r2_hidden(all_90_0, all_90_1) % 32.63/5.26 | (12) v10_lattices(all_90_7) % 32.63/5.26 | (13) v17_lattices(all_90_7) % 32.63/5.26 | (14) l3_lattices(all_90_7) % 32.63/5.26 | (15) m1_subset_1(all_90_2, all_90_6) % 32.63/5.26 | (16) m1_filter_0(all_90_0, all_90_7) % 32.63/5.26 | (17) v1_filter_0(all_90_0, all_90_7) % 32.63/5.26 | (18) r2_hidden(all_90_2, all_90_0) % 32.63/5.26 | (19) $i(all_90_7) % 32.63/5.26 | (20) $i(all_90_6) % 32.63/5.26 | (21) $i(all_90_2) % 32.63/5.26 | (22) $i(all_90_0) % 32.63/5.26 | (23) k1_zfmisc_1(all_90_5) = all_90_4 % 32.63/5.26 | (24) u1_struct_0(all_90_7) = all_90_6 % 32.63/5.26 | (25) k8_funct_2(all_90_6, all_90_4, all_90_3, all_90_2) = all_90_1 % 32.63/5.26 | (26) k9_lopclset(all_90_7) = all_90_3 % 32.63/5.26 | (27) k7_lopclset(all_90_7) = all_90_5 % 32.63/5.26 | % 32.63/5.26 | GROUND_INST: instantiating (4) with all_90_7, simplifying with (14), (19) % 32.63/5.26 | gives: % 32.63/5.26 | (28) l2_lattices(all_90_7) % 32.63/5.26 | % 32.63/5.26 | GROUND_INST: instantiating (t2_subset) with all_90_2, all_90_6, simplifying % 32.63/5.26 | with (15), (20), (21) gives: % 32.63/5.26 | (29) v1_xboole_0(all_90_6) | r2_hidden(all_90_2, all_90_6) % 32.63/5.26 | % 32.63/5.26 | GROUND_INST: instantiating (3) with all_90_7, all_90_3, simplifying with (9), % 32.63/5.26 | (10), (12), (13), (14), (19), (26) gives: % 32.63/5.26 | (30) v1_funct_1(all_90_3) % 32.63/5.26 | % 32.63/5.26 | GROUND_INST: instantiating (2) with all_90_7, all_90_3, simplifying with (9), % 32.63/5.26 | (10), (12), (13), (14), (19), (26) gives: % 32.63/5.26 | (31) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (k7_lopclset(all_90_7) = v1 % 32.63/5.26 | & u1_struct_0(all_90_7) = v0 & k1_zfmisc_1(v1) = v2 & $i(v2) & % 32.63/5.26 | $i(v1) & $i(v0) & m2_relset_1(all_90_3, v0, v2) & % 32.63/5.26 | v1_funct_2(all_90_3, v0, v2)) % 32.63/5.26 | % 32.63/5.26 | GROUND_INST: instantiating (redefinition_k9_lopclset) with all_90_7, all_90_3, % 32.63/5.26 | simplifying with (9), (10), (12), (13), (14), (19), (26) gives: % 32.63/5.26 | (32) k8_lopclset(all_90_7) = all_90_3 & $i(all_90_3) % 32.63/5.26 | % 32.63/5.26 | ALPHA: (32) implies: % 32.63/5.26 | (33) $i(all_90_3) % 32.63/5.26 | (34) k8_lopclset(all_90_7) = all_90_3 % 32.63/5.26 | % 32.63/5.26 | GROUND_INST: instantiating (dt_k7_lopclset) with all_90_7, all_90_5, % 32.63/5.26 | simplifying with (9), (10), (12), (13), (14), (19), (27) gives: % 32.63/5.26 | (35) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (u1_struct_0(all_90_7) = v0 % 32.63/5.26 | & k1_zfmisc_1(v1) = v2 & k1_zfmisc_1(v0) = v1 & $i(v2) & $i(v1) & % 32.63/5.26 | $i(v0) & m1_subset_1(all_90_5, v2)) % 32.63/5.26 | % 32.63/5.26 | DELTA: instantiating (35) with fresh symbols all_102_0, all_102_1, all_102_2 % 32.63/5.26 | gives: % 32.63/5.27 | (36) u1_struct_0(all_90_7) = all_102_2 & k1_zfmisc_1(all_102_1) = all_102_0 % 32.63/5.27 | & k1_zfmisc_1(all_102_2) = all_102_1 & $i(all_102_0) & $i(all_102_1) & % 32.63/5.27 | $i(all_102_2) & m1_subset_1(all_90_5, all_102_0) % 32.63/5.27 | % 32.63/5.27 | ALPHA: (36) implies: % 32.63/5.27 | (37) $i(all_102_2) % 32.63/5.27 | (38) u1_struct_0(all_90_7) = all_102_2 % 32.63/5.27 | % 32.63/5.27 | DELTA: instantiating (31) with fresh symbols all_104_0, all_104_1, all_104_2 % 32.63/5.27 | gives: % 32.63/5.27 | (39) k7_lopclset(all_90_7) = all_104_1 & u1_struct_0(all_90_7) = all_104_2 % 32.63/5.27 | & k1_zfmisc_1(all_104_1) = all_104_0 & $i(all_104_0) & $i(all_104_1) & % 32.63/5.27 | $i(all_104_2) & m2_relset_1(all_90_3, all_104_2, all_104_0) & % 32.63/5.27 | v1_funct_2(all_90_3, all_104_2, all_104_0) % 32.63/5.27 | % 32.63/5.27 | ALPHA: (39) implies: % 32.63/5.27 | (40) v1_funct_2(all_90_3, all_104_2, all_104_0) % 32.63/5.27 | (41) m2_relset_1(all_90_3, all_104_2, all_104_0) % 32.63/5.27 | (42) $i(all_104_0) % 32.63/5.27 | (43) k1_zfmisc_1(all_104_1) = all_104_0 % 32.63/5.27 | (44) u1_struct_0(all_90_7) = all_104_2 % 32.63/5.27 | (45) k7_lopclset(all_90_7) = all_104_1 % 32.63/5.27 | % 32.63/5.27 | GROUND_INST: instantiating (6) with all_90_6, all_104_2, all_90_7, simplifying % 32.63/5.27 | with (24), (44) gives: % 32.63/5.27 | (46) all_104_2 = all_90_6 % 32.63/5.27 | % 32.63/5.27 | GROUND_INST: instantiating (6) with all_102_2, all_104_2, all_90_7, % 32.63/5.27 | simplifying with (38), (44) gives: % 32.63/5.27 | (47) all_104_2 = all_102_2 % 32.63/5.27 | % 32.63/5.27 | GROUND_INST: instantiating (7) with all_90_5, all_104_1, all_90_7, simplifying % 32.63/5.27 | with (27), (45) gives: % 32.63/5.27 | (48) all_104_1 = all_90_5 % 32.63/5.27 | % 32.63/5.27 | COMBINE_EQS: (46), (47) imply: % 32.63/5.27 | (49) all_102_2 = all_90_6 % 32.63/5.27 | % 32.63/5.27 | REDUCE: (43), (48) imply: % 32.63/5.27 | (50) k1_zfmisc_1(all_90_5) = all_104_0 % 32.63/5.27 | % 32.63/5.27 | REDUCE: (41), (46) imply: % 32.63/5.27 | (51) m2_relset_1(all_90_3, all_90_6, all_104_0) % 32.63/5.27 | % 32.63/5.27 | REDUCE: (40), (46) imply: % 32.63/5.27 | (52) v1_funct_2(all_90_3, all_90_6, all_104_0) % 32.63/5.27 | % 32.63/5.27 | GROUND_INST: instantiating (5) with all_90_4, all_104_0, all_90_5, simplifying % 32.63/5.27 | with (23), (50) gives: % 32.63/5.27 | (53) all_104_0 = all_90_4 % 32.63/5.27 | % 32.63/5.27 | REDUCE: (42), (53) imply: % 32.63/5.27 | (54) $i(all_90_4) % 32.63/5.27 | % 32.63/5.27 | REDUCE: (51), (53) imply: % 32.63/5.27 | (55) m2_relset_1(all_90_3, all_90_6, all_90_4) % 32.63/5.27 | % 32.63/5.27 | REDUCE: (52), (53) imply: % 32.63/5.27 | (56) v1_funct_2(all_90_3, all_90_6, all_90_4) % 32.63/5.27 | % 32.63/5.27 | GROUND_INST: instantiating (dt_l2_lattices) with all_90_7, simplifying with % 32.63/5.27 | (19), (28) gives: % 32.63/5.27 | (57) l1_struct_0(all_90_7) % 32.63/5.27 | % 32.63/5.27 | GROUND_INST: instantiating (1) with all_90_6, all_90_4, all_90_3, simplifying % 32.63/5.27 | with (20), (33), (54), (55) gives: % 32.63/5.27 | (58) m1_relset_1(all_90_3, all_90_6, all_90_4) % 32.63/5.27 | % 32.63/5.27 | GROUND_INST: instantiating (t21_lopclset) with all_90_7, all_90_3, simplifying % 32.63/5.27 | with (9), (10), (12), (13), (14), (19), (34) gives: % 32.63/5.27 | (59) ? [v0: $i] : (u1_struct_0(all_90_7) = v0 & $i(v0) & ! [v1: $i] : ! % 32.63/5.27 | [v2: $i] : ! [v3: $i] : ( ~ (k1_funct_1(all_90_3, v1) = v2) | ~ % 32.63/5.27 | $i(v3) | ~ $i(v1) | ~ r2_hidden(v3, v2) | ~ m1_filter_0(v3, % 32.63/5.27 | all_90_7) | ~ m1_subset_1(v1, v0) | r2_hidden(v1, v3)) & ! % 32.63/5.27 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (k1_funct_1(all_90_3, v1) % 32.63/5.27 | = v2) | ~ $i(v3) | ~ $i(v1) | ~ r2_hidden(v3, v2) | ~ % 32.63/5.27 | m1_filter_0(v3, all_90_7) | ~ m1_subset_1(v1, v0) | % 32.63/5.27 | v1_filter_0(v3, all_90_7)) & ! [v1: $i] : ! [v2: $i] : ! [v3: % 32.63/5.27 | $i] : ( ~ (k1_funct_1(all_90_3, v1) = v2) | ~ $i(v3) | ~ $i(v1) % 32.63/5.27 | | ~ r2_hidden(v1, v3) | ~ v1_filter_0(v3, all_90_7) | ~ % 32.63/5.27 | m1_filter_0(v3, all_90_7) | ~ m1_subset_1(v1, v0) | r2_hidden(v3, % 32.63/5.27 | v2))) % 32.63/5.27 | % 32.63/5.27 | DELTA: instantiating (59) with fresh symbol all_124_0 gives: % 32.63/5.28 | (60) u1_struct_0(all_90_7) = all_124_0 & $i(all_124_0) & ! [v0: $i] : ! % 32.63/5.28 | [v1: $i] : ! [v2: $i] : ( ~ (k1_funct_1(all_90_3, v0) = v1) | ~ % 32.63/5.28 | $i(v2) | ~ $i(v0) | ~ r2_hidden(v2, v1) | ~ m1_filter_0(v2, % 32.63/5.28 | all_90_7) | ~ m1_subset_1(v0, all_124_0) | r2_hidden(v0, v2)) & % 32.63/5.28 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k1_funct_1(all_90_3, v0) % 32.63/5.28 | = v1) | ~ $i(v2) | ~ $i(v0) | ~ r2_hidden(v2, v1) | ~ % 32.63/5.28 | m1_filter_0(v2, all_90_7) | ~ m1_subset_1(v0, all_124_0) | % 32.63/5.28 | v1_filter_0(v2, all_90_7)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] % 32.63/5.28 | : ( ~ (k1_funct_1(all_90_3, v0) = v1) | ~ $i(v2) | ~ $i(v0) | ~ % 32.63/5.28 | r2_hidden(v0, v2) | ~ v1_filter_0(v2, all_90_7) | ~ % 32.63/5.28 | m1_filter_0(v2, all_90_7) | ~ m1_subset_1(v0, all_124_0) | % 32.63/5.28 | r2_hidden(v2, v1)) % 32.63/5.28 | % 32.63/5.28 | ALPHA: (60) implies: % 32.63/5.28 | (61) $i(all_124_0) % 32.63/5.28 | (62) u1_struct_0(all_90_7) = all_124_0 % 32.63/5.28 | (63) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k1_funct_1(all_90_3, % 32.63/5.28 | v0) = v1) | ~ $i(v2) | ~ $i(v0) | ~ r2_hidden(v0, v2) | ~ % 32.63/5.28 | v1_filter_0(v2, all_90_7) | ~ m1_filter_0(v2, all_90_7) | ~ % 32.63/5.28 | m1_subset_1(v0, all_124_0) | r2_hidden(v2, v1)) % 32.63/5.28 | % 32.63/5.28 | GROUND_INST: instantiating (6) with all_90_6, all_124_0, all_90_7, simplifying % 32.63/5.28 | with (24), (62) gives: % 32.63/5.28 | (64) all_124_0 = all_90_6 % 32.63/5.28 | % 32.63/5.28 | GROUND_INST: instantiating (redefinition_k8_funct_2) with all_90_6, all_90_4, % 32.63/5.28 | all_90_3, all_90_2, all_90_1, simplifying with (15), (20), (21), % 32.63/5.28 | (25), (30), (33), (54), (56), (58) gives: % 32.63/5.28 | (65) v1_xboole_0(all_90_6) | (k1_funct_1(all_90_3, all_90_2) = all_90_1 & % 32.63/5.28 | $i(all_90_1)) % 32.63/5.28 | % 32.63/5.28 | BETA: splitting (29) gives: % 32.63/5.28 | % 32.63/5.28 | Case 1: % 32.63/5.28 | | % 32.63/5.28 | | (66) v1_xboole_0(all_90_6) % 32.63/5.28 | | % 32.63/5.28 | | GROUND_INST: instantiating (fc1_struct_0) with all_90_7, all_90_6, % 32.63/5.28 | | simplifying with (9), (19), (24), (57), (66) gives: % 32.63/5.28 | | (67) $false % 32.63/5.28 | | % 32.63/5.28 | | CLOSE: (67) is inconsistent. % 32.63/5.28 | | % 32.63/5.28 | Case 2: % 32.63/5.28 | | % 32.63/5.28 | | (68) ~ v1_xboole_0(all_90_6) % 32.63/5.28 | | % 32.63/5.28 | | BETA: splitting (65) gives: % 32.63/5.28 | | % 32.63/5.28 | | Case 1: % 32.63/5.28 | | | % 32.63/5.28 | | | (69) v1_xboole_0(all_90_6) % 32.63/5.28 | | | % 32.63/5.28 | | | PRED_UNIFY: (68), (69) imply: % 32.63/5.28 | | | (70) $false % 32.63/5.28 | | | % 32.63/5.28 | | | CLOSE: (70) is inconsistent. % 32.63/5.28 | | | % 32.63/5.28 | | Case 2: % 32.63/5.28 | | | % 32.63/5.28 | | | (71) k1_funct_1(all_90_3, all_90_2) = all_90_1 & $i(all_90_1) % 32.63/5.28 | | | % 32.63/5.28 | | | ALPHA: (71) implies: % 32.63/5.28 | | | (72) k1_funct_1(all_90_3, all_90_2) = all_90_1 % 32.63/5.28 | | | % 32.63/5.29 | | | GROUND_INST: instantiating (63) with all_90_2, all_90_1, all_90_0, % 32.63/5.29 | | | simplifying with (11), (16), (17), (18), (21), (22), (72) % 32.63/5.29 | | | gives: % 32.63/5.29 | | | (73) ~ m1_subset_1(all_90_2, all_124_0) % 32.63/5.29 | | | % 32.63/5.29 | | | REDUCE: (64), (73) imply: % 32.63/5.29 | | | (74) ~ m1_subset_1(all_90_2, all_90_6) % 32.63/5.29 | | | % 32.63/5.29 | | | PRED_UNIFY: (15), (74) imply: % 32.63/5.29 | | | (75) $false % 32.63/5.29 | | | % 32.63/5.29 | | | CLOSE: (75) is inconsistent. % 32.63/5.29 | | | % 32.63/5.29 | | End of split % 32.63/5.29 | | % 32.63/5.29 | End of split % 32.63/5.29 | % 32.63/5.29 End of proof % 32.63/5.29 % SZS output end Proof for theBenchmark % 32.63/5.29 % 32.63/5.29 4659ms %------------------------------------------------------------------------------