%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : LAT327+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 : n005.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 06:24:47 EDT 2023 % Result : Theorem 12.27s 2.53s % Output : Proof 17.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT327+1 : TPTP v8.1.2. Released v3.4.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.12/0.35 % Computer : n005.cluster.edu % 0.12/0.35 % Model : x86_64 x86_64 % 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.35 % Memory : 8042.1875MB % 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.35 % CPULimit : 300 % 0.12/0.35 % WCLimit : 300 % 0.12/0.35 % DateTime : Thu Aug 24 06:10:53 EDT 2023 % 0.12/0.35 % CPUTime : % 0.20/0.62 ________ _____ % 0.20/0.62 ___ __ \_________(_)________________________________ % 0.20/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.62 % 0.20/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.62 (2023-06-19) % 0.20/0.62 % 0.20/0.62 (c) Philipp Rümmer, 2009-2023 % 0.20/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.62 Amanda Stjerna. % 0.20/0.62 Free software under BSD-3-Clause. % 0.20/0.62 % 0.20/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.62 % 0.20/0.63 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.20/0.64 Running up to 7 provers in parallel. % 0.20/0.66 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.66 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.66 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.66 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.66 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.66 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.20/0.66 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.80/1.16 Prover 1: Preprocessing ... % 2.80/1.16 Prover 4: Preprocessing ... % 3.12/1.20 Prover 0: Preprocessing ... % 3.12/1.20 Prover 3: Preprocessing ... % 3.12/1.20 Prover 5: Preprocessing ... % 3.12/1.20 Prover 6: Preprocessing ... % 3.12/1.20 Prover 2: Preprocessing ... % 7.22/1.79 Prover 2: Proving ... % 7.22/1.80 Prover 5: Proving ... % 7.22/1.83 Prover 1: Warning: ignoring some quantifiers % 7.71/1.87 Prover 3: Warning: ignoring some quantifiers % 7.88/1.89 Prover 1: Constructing countermodel ... % 7.88/1.90 Prover 3: Constructing countermodel ... % 8.22/1.92 Prover 6: Proving ... % 11.23/2.34 Prover 4: Warning: ignoring some quantifiers % 11.80/2.42 Prover 4: Constructing countermodel ... % 12.27/2.53 Prover 5: proved (1875ms) % 12.27/2.53 % 12.27/2.53 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 12.27/2.53 % 12.27/2.53 Prover 3: stopped % 12.27/2.53 Prover 6: stopped % 12.27/2.53 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 12.27/2.53 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 12.27/2.53 Prover 2: stopped % 12.27/2.54 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 12.27/2.54 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 13.13/2.60 Prover 11: Preprocessing ... % 13.13/2.61 Prover 8: Preprocessing ... % 13.13/2.62 Prover 7: Preprocessing ... % 13.51/2.64 Prover 0: Proving ... % 13.51/2.64 Prover 10: Preprocessing ... % 13.51/2.65 Prover 0: stopped % 13.51/2.65 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 13.51/2.72 Prover 13: Preprocessing ... % 13.51/2.74 Prover 10: Warning: ignoring some quantifiers % 13.51/2.75 Prover 7: Warning: ignoring some quantifiers % 13.51/2.77 Prover 10: Constructing countermodel ... % 13.51/2.78 Prover 7: Constructing countermodel ... % 13.51/2.84 Prover 8: Warning: ignoring some quantifiers % 14.44/2.87 Prover 8: Constructing countermodel ... % 14.44/2.91 Prover 13: Warning: ignoring some quantifiers % 15.56/2.94 Prover 13: Constructing countermodel ... % 16.25/3.01 Prover 10: Found proof (size 17) % 16.25/3.01 Prover 10: proved (480ms) % 16.25/3.02 Prover 8: stopped % 16.25/3.02 Prover 4: stopped % 16.25/3.02 Prover 1: stopped % 16.25/3.02 Prover 13: stopped % 16.25/3.02 Prover 7: stopped % 16.63/3.17 Prover 11: Warning: ignoring some quantifiers % 17.04/3.18 Prover 11: Constructing countermodel ... % 17.09/3.19 Prover 11: stopped % 17.09/3.20 % 17.09/3.20 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 17.09/3.20 % 17.09/3.20 % SZS output start Proof for theBenchmark % 17.09/3.20 Assumptions after simplification: % 17.09/3.20 --------------------------------- % 17.09/3.20 % 17.09/3.20 (cc1_lattices) % 17.18/3.21 ! [v0: $i] : ( ~ $i(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | % 17.18/3.21 v9_lattices(v0) | v3_struct_0(v0)) & ! [v0: $i] : ( ~ $i(v0) | ~ % 17.18/3.21 l3_lattices(v0) | ~ v10_lattices(v0) | v8_lattices(v0) | v3_struct_0(v0)) & % 17.18/3.21 ! [v0: $i] : ( ~ $i(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | % 17.18/3.21 v7_lattices(v0) | v3_struct_0(v0)) & ! [v0: $i] : ( ~ $i(v0) | ~ % 17.18/3.21 l3_lattices(v0) | ~ v10_lattices(v0) | v6_lattices(v0) | v3_struct_0(v0)) & % 17.18/3.21 ! [v0: $i] : ( ~ $i(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | % 17.18/3.21 v5_lattices(v0) | v3_struct_0(v0)) & ! [v0: $i] : ( ~ $i(v0) | ~ % 17.18/3.21 l3_lattices(v0) | ~ v10_lattices(v0) | v4_lattices(v0) | v3_struct_0(v0)) % 17.18/3.21 % 17.18/3.21 (reflexivity_r3_lattices) % 17.23/3.23 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (u1_struct_0(v0) = % 17.23/3.23 v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ v9_lattices(v0) | ~ % 17.23/3.23 v8_lattices(v0) | ~ v6_lattices(v0) | ~ m1_subset_1(v2, v3) | ~ % 17.23/3.23 m1_subset_1(v1, v3) | ~ l3_lattices(v0) | r3_lattices(v0, v1, v1) | % 17.23/3.23 v3_struct_0(v0)) % 17.23/3.23 % 17.23/3.23 (t63_filter_2) % 17.23/3.24 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 17.23/3.24 $i] : ( ~ (k22_filter_2(v0, v2, v3) = v4) | ~ (u1_struct_0(v0) = v1) | ~ % 17.23/3.24 $i(v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v0) | ~ r2_hidden(v5, v4) | ~ % 17.23/3.24 r3_lattices(v0, v2, v3) | ~ m1_subset_1(v5, v1) | ~ m1_subset_1(v3, v1) | % 17.23/3.24 ~ m1_subset_1(v2, v1) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | % 17.23/3.24 r3_lattices(v0, v5, v3) | v3_struct_0(v0)) & ! [v0: $i] : ! [v1: $i] : ! % 17.23/3.24 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (k22_filter_2(v0, v2, % 17.23/3.24 v3) = v4) | ~ (u1_struct_0(v0) = v1) | ~ $i(v5) | ~ $i(v3) | ~ % 17.23/3.24 $i(v2) | ~ $i(v0) | ~ r2_hidden(v5, v4) | ~ r3_lattices(v0, v2, v3) | ~ % 17.23/3.24 m1_subset_1(v5, v1) | ~ m1_subset_1(v3, v1) | ~ m1_subset_1(v2, v1) | ~ % 17.23/3.24 l3_lattices(v0) | ~ v10_lattices(v0) | r3_lattices(v0, v2, v5) | % 17.23/3.24 v3_struct_0(v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : % 17.23/3.24 ! [v4: $i] : ! [v5: $i] : ( ~ (k22_filter_2(v0, v2, v3) = v4) | ~ % 17.23/3.24 (u1_struct_0(v0) = v1) | ~ $i(v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v0) | ~ % 17.23/3.24 r3_lattices(v0, v5, v3) | ~ r3_lattices(v0, v2, v5) | ~ r3_lattices(v0, % 17.23/3.24 v2, v3) | ~ m1_subset_1(v5, v1) | ~ m1_subset_1(v3, v1) | ~ % 17.23/3.24 m1_subset_1(v2, v1) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | % 17.23/3.24 r2_hidden(v5, v4) | v3_struct_0(v0)) % 17.23/3.24 % 17.23/3.24 (t64_filter_2) % 17.23/3.24 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 17.23/3.24 (k22_filter_2(v0, v2, v3) = v4 & u1_struct_0(v0) = v1 & $i(v4) & $i(v3) & % 17.23/3.24 $i(v2) & $i(v1) & $i(v0) & r3_lattices(v0, v2, v3) & m1_subset_1(v3, v1) & % 17.23/3.24 m1_subset_1(v2, v1) & l3_lattices(v0) & v10_lattices(v0) & ~ % 17.23/3.24 v3_struct_0(v0) & ( ~ r2_hidden(v3, v4) | ~ r2_hidden(v2, v4))) % 17.23/3.24 % 17.23/3.24 Further assumptions not needed in the proof: % 17.23/3.24 -------------------------------------------- % 17.23/3.24 antisymmetry_r2_hidden, cc1_funct_1, cc2_lattices, dt_k1_xboole_0, % 17.23/3.24 dt_k1_zfmisc_1, dt_k22_filter_2, dt_l1_lattices, dt_l1_struct_0, dt_l2_lattices, % 17.23/3.24 dt_l3_lattices, dt_m1_subset_1, dt_m2_lattice4, dt_u1_struct_0, % 17.23/3.24 existence_l1_lattices, existence_l1_struct_0, existence_l2_lattices, % 17.23/3.24 existence_l3_lattices, existence_m1_subset_1, existence_m2_lattice4, % 17.23/3.24 fc1_struct_0, fc1_subset_1, fc1_xboole_0, rc1_lattice4, rc1_subset_1, % 17.23/3.24 rc1_xboole_0, rc2_subset_1, rc2_xboole_0, rc3_struct_0, rc5_struct_0, % 17.23/3.24 redefinition_r3_lattices, reflexivity_r1_tarski, t1_subset, t2_subset, % 17.23/3.24 t3_subset, t4_subset, t5_subset, t6_boole, t7_boole, t8_boole % 17.23/3.24 % 17.23/3.24 Those formulas are unsatisfiable: % 17.23/3.24 --------------------------------- % 17.23/3.24 % 17.23/3.24 Begin of proof % 17.23/3.24 | % 17.23/3.24 | ALPHA: (cc1_lattices) implies: % 17.23/3.24 | (1) ! [v0: $i] : ( ~ $i(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | % 17.23/3.24 | v6_lattices(v0) | v3_struct_0(v0)) % 17.23/3.24 | (2) ! [v0: $i] : ( ~ $i(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | % 17.23/3.24 | v8_lattices(v0) | v3_struct_0(v0)) % 17.23/3.24 | (3) ! [v0: $i] : ( ~ $i(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | % 17.23/3.24 | v9_lattices(v0) | v3_struct_0(v0)) % 17.23/3.24 | % 17.23/3.24 | ALPHA: (t63_filter_2) implies: % 17.23/3.24 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 17.23/3.24 | ! [v5: $i] : ( ~ (k22_filter_2(v0, v2, v3) = v4) | ~ (u1_struct_0(v0) % 17.23/3.24 | = v1) | ~ $i(v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v0) | ~ % 17.23/3.24 | r3_lattices(v0, v5, v3) | ~ r3_lattices(v0, v2, v5) | ~ % 17.23/3.24 | r3_lattices(v0, v2, v3) | ~ m1_subset_1(v5, v1) | ~ m1_subset_1(v3, % 17.23/3.24 | v1) | ~ m1_subset_1(v2, v1) | ~ l3_lattices(v0) | ~ % 17.23/3.24 | v10_lattices(v0) | r2_hidden(v5, v4) | v3_struct_0(v0)) % 17.23/3.24 | % 17.23/3.24 | DELTA: instantiating (t64_filter_2) with fresh symbols all_47_0, all_47_1, % 17.23/3.24 | all_47_2, all_47_3, all_47_4 gives: % 17.23/3.24 | (5) k22_filter_2(all_47_4, all_47_2, all_47_1) = all_47_0 & % 17.23/3.24 | u1_struct_0(all_47_4) = all_47_3 & $i(all_47_0) & $i(all_47_1) & % 17.23/3.24 | $i(all_47_2) & $i(all_47_3) & $i(all_47_4) & r3_lattices(all_47_4, % 17.23/3.24 | all_47_2, all_47_1) & m1_subset_1(all_47_1, all_47_3) & % 17.23/3.24 | m1_subset_1(all_47_2, all_47_3) & l3_lattices(all_47_4) & % 17.23/3.24 | v10_lattices(all_47_4) & ~ v3_struct_0(all_47_4) & ( ~ % 17.23/3.25 | r2_hidden(all_47_1, all_47_0) | ~ r2_hidden(all_47_2, all_47_0)) % 17.23/3.25 | % 17.23/3.25 | ALPHA: (5) implies: % 17.23/3.25 | (6) ~ v3_struct_0(all_47_4) % 17.23/3.25 | (7) v10_lattices(all_47_4) % 17.23/3.25 | (8) l3_lattices(all_47_4) % 17.23/3.25 | (9) m1_subset_1(all_47_2, all_47_3) % 17.23/3.25 | (10) m1_subset_1(all_47_1, all_47_3) % 17.23/3.25 | (11) r3_lattices(all_47_4, all_47_2, all_47_1) % 17.23/3.25 | (12) $i(all_47_4) % 17.23/3.25 | (13) $i(all_47_2) % 17.23/3.25 | (14) $i(all_47_1) % 17.23/3.25 | (15) u1_struct_0(all_47_4) = all_47_3 % 17.23/3.25 | (16) k22_filter_2(all_47_4, all_47_2, all_47_1) = all_47_0 % 17.23/3.25 | (17) ~ r2_hidden(all_47_1, all_47_0) | ~ r2_hidden(all_47_2, all_47_0) % 17.23/3.25 | % 17.23/3.25 | GROUND_INST: instantiating (3) with all_47_4, simplifying with (6), (7), (8), % 17.23/3.25 | (12) gives: % 17.23/3.25 | (18) v9_lattices(all_47_4) % 17.23/3.25 | % 17.23/3.25 | GROUND_INST: instantiating (2) with all_47_4, simplifying with (6), (7), (8), % 17.23/3.25 | (12) gives: % 17.23/3.25 | (19) v8_lattices(all_47_4) % 17.23/3.25 | % 17.23/3.25 | GROUND_INST: instantiating (1) with all_47_4, simplifying with (6), (7), (8), % 17.23/3.25 | (12) gives: % 17.23/3.25 | (20) v6_lattices(all_47_4) % 17.23/3.25 | % 17.23/3.25 | GROUND_INST: instantiating (reflexivity_r3_lattices) with all_47_4, all_47_1, % 17.23/3.25 | all_47_2, all_47_3, simplifying with (6), (8), (9), (10), (12), % 17.23/3.25 | (13), (14), (15), (18), (19), (20) gives: % 17.23/3.25 | (21) r3_lattices(all_47_4, all_47_1, all_47_1) % 17.23/3.25 | % 17.23/3.25 | GROUND_INST: instantiating (reflexivity_r3_lattices) with all_47_4, all_47_2, % 17.23/3.25 | all_47_2, all_47_3, simplifying with (6), (8), (9), (12), (13), % 17.23/3.25 | (15), (18), (19), (20) gives: % 17.23/3.25 | (22) r3_lattices(all_47_4, all_47_2, all_47_2) % 17.23/3.25 | % 17.23/3.25 | GROUND_INST: instantiating (4) with all_47_4, all_47_3, all_47_2, all_47_1, % 17.23/3.25 | all_47_0, all_47_2, simplifying with (6), (7), (8), (9), (10), % 17.23/3.25 | (11), (12), (13), (14), (15), (16), (22) gives: % 17.23/3.25 | (23) r2_hidden(all_47_2, all_47_0) % 17.23/3.25 | % 17.23/3.25 | GROUND_INST: instantiating (4) with all_47_4, all_47_3, all_47_2, all_47_1, % 17.23/3.25 | all_47_0, all_47_1, simplifying with (6), (7), (8), (9), (10), % 17.23/3.25 | (11), (12), (13), (14), (15), (16), (21) gives: % 17.23/3.25 | (24) r2_hidden(all_47_1, all_47_0) % 17.23/3.25 | % 17.23/3.25 | BETA: splitting (17) gives: % 17.23/3.25 | % 17.23/3.25 | Case 1: % 17.23/3.25 | | % 17.23/3.25 | | (25) ~ r2_hidden(all_47_1, all_47_0) % 17.23/3.25 | | % 17.23/3.25 | | PRED_UNIFY: (24), (25) imply: % 17.23/3.26 | | (26) $false % 17.23/3.26 | | % 17.23/3.26 | | CLOSE: (26) is inconsistent. % 17.23/3.26 | | % 17.23/3.26 | Case 2: % 17.23/3.26 | | % 17.23/3.26 | | (27) ~ r2_hidden(all_47_2, all_47_0) % 17.23/3.26 | | % 17.23/3.26 | | PRED_UNIFY: (23), (27) imply: % 17.23/3.26 | | (28) $false % 17.23/3.26 | | % 17.23/3.26 | | CLOSE: (28) is inconsistent. % 17.23/3.26 | | % 17.23/3.26 | End of split % 17.23/3.26 | % 17.23/3.26 End of proof % 17.23/3.26 % SZS output end Proof for theBenchmark % 17.23/3.26 % 17.23/3.26 2631ms %------------------------------------------------------------------------------