%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SWX000_1 : TPTP v9.1.0. Released v9.1.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n021.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 : Sun Apr 6 10:08:51 AM UTC 2025 % Result : Theorem 10.06s 2.08s % Output : Proof 12.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SWX000_1 : TPTP v9.1.0. Released v9.1.0. % 0.03/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.12/0.33 % Computer : n021.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Sun Apr 6 02:59:11 EDT 2025 % 0.12/0.34 % CPUTime : % 0.47/0.62 ________ _____ % 0.47/0.62 ___ __ \_________(_)________________________________ % 0.47/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.47/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.47/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.47/0.62 % 0.47/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.47/0.62 (2023-06-19) % 0.47/0.62 % 0.47/0.62 (c) Philipp Rümmer, 2009-2023 % 0.47/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.47/0.62 Amanda Stjerna. % 0.47/0.62 Free software under BSD-3-Clause. % 0.47/0.62 % 0.47/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.47/0.62 % 0.47/0.62 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.64/0.63 Running up to 7 provers in parallel. % 0.64/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.64/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.64/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.64/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.64/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.64/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.64/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.60/1.22 Prover 4: Preprocessing ... % 3.60/1.22 Prover 1: Preprocessing ... % 4.05/1.25 Prover 5: Preprocessing ... % 4.05/1.25 Prover 2: Preprocessing ... % 4.05/1.25 Prover 0: Preprocessing ... % 4.05/1.25 Prover 6: Preprocessing ... % 4.05/1.25 Prover 3: Preprocessing ... % 7.96/1.80 Prover 2: Proving ... % 7.96/1.81 Prover 5: Proving ... % 7.96/1.81 Prover 1: Warning: ignoring some quantifiers % 8.34/1.84 Prover 3: Warning: ignoring some quantifiers % 8.34/1.85 Prover 1: Constructing countermodel ... % 8.58/1.85 Prover 0: Proving ... % 8.58/1.86 Prover 3: Constructing countermodel ... % 8.58/1.87 Prover 4: Constructing countermodel ... % 8.58/1.87 Prover 6: Proving ... % 10.06/2.08 Prover 3: proved (1443ms) % 10.06/2.08 % 10.06/2.08 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 10.06/2.08 % 10.06/2.08 Prover 0: stopped % 10.06/2.08 Prover 6: stopped % 10.06/2.09 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 10.06/2.09 Prover 2: stopped % 10.06/2.10 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 10.06/2.10 Prover 5: stopped % 10.06/2.11 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 10.06/2.11 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 10.06/2.11 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 10.81/2.17 Prover 4: Found proof (size 36) % 10.81/2.17 Prover 4: proved (1528ms) % 10.81/2.17 Prover 1: stopped % 10.81/2.20 Prover 10: Preprocessing ... % 10.81/2.20 Prover 7: Preprocessing ... % 10.81/2.21 Prover 11: Preprocessing ... % 10.81/2.23 Prover 8: Preprocessing ... % 10.81/2.23 Prover 13: Preprocessing ... % 11.45/2.25 Prover 7: stopped % 11.45/2.25 Prover 10: stopped % 11.45/2.26 Prover 11: stopped % 11.45/2.27 Prover 13: stopped % 11.74/2.34 Prover 8: Warning: ignoring some quantifiers % 12.06/2.35 Prover 8: Constructing countermodel ... % 12.06/2.36 Prover 8: stopped % 12.06/2.36 % 12.06/2.36 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 12.06/2.36 % 12.06/2.37 % SZS output start Proof for theBenchmark % 12.06/2.37 Assumptions after simplification: % 12.06/2.37 --------------------------------- % 12.06/2.37 % 12.06/2.37 (f__integer__def_ax) % 12.06/2.39 ! [v0: int] : ! [v1: general] : ! [v2: general] : (v2 = v1 | ~ % 12.06/2.39 (f__integer__(v0) = v2) | ~ (f__integer__(v0) = v1)) & ! [v0: int] : ! % 12.06/2.39 [v1: int] : ! [v2: general] : (v1 = v0 | ~ (f__integer__(v1) = v2) | ~ % 12.06/2.39 (f__integer__(v0) = v2)) % 12.06/2.39 % 12.06/2.39 (formula_1_unnamed_formula) % 12.06/2.39 ! [v0: general] : ! [v1: general] : ( ~ (in0(v0, v1) = 0) | ~ general(v1) | % 12.06/2.39 ~ general(v0) | person(v0) = 0) % 12.06/2.39 % 12.06/2.39 (formula_2_unnamed_formula) % 12.06/2.39 ! [v0: general] : ! [v1: general] : ! [v2: general] : ( ~ (goto(v0, v1, v2) % 12.06/2.39 = 0) | ~ general(v2) | ~ general(v1) | ~ general(v0) | person(v0) = 0) % 12.06/2.39 % 12.06/2.39 (formula_8_completed_definition_of_in_3) % 12.06/2.40 ? [v0: general] : (f__integer__(0) = v0 & general(v0) & ! [v1: general] : ! % 12.06/2.40 [v2: general] : ! [v3: general] : ! [v4: int] : ! [v5: general] : ! [v6: % 12.06/2.40 int] : (v4 = 0 | ~ (in(v1, v2, v3) = v4) | ~ (goto(v1, v2, v5) = 0) | ~ % 12.06/2.40 (f__integer__($sum(v6, 1)) = v3) | ~ general(v5) | ~ general(v3) | ~ % 12.06/2.40 general(v2) | ~ general(v1) | ? [v7: general] : ( ~ (v7 = v5) & % 12.06/2.40 f__integer__(v6) = v7 & general(v7))) & ! [v1: general] : ! [v2: % 12.06/2.40 general] : ! [v3: int] : (v3 = 0 | ~ (in(v1, v2, v0) = v3) | ~ (in0(v1, % 12.06/2.40 v2) = 0) | ~ general(v2) | ~ general(v1)) & ! [v1: general] : ! % 12.06/2.40 [v2: general] : ! [v3: general] : ( ~ (in(v1, v2, v3) = 0) | ~ general(v3) % 12.06/2.40 | ~ general(v2) | ~ general(v1) | ? [v4: general] : ? [v5: general] : % 12.06/2.40 ? [v6: general] : ? [v7: general] : ? [v8: general] : ? [v9: int] : ? % 12.06/2.40 [v10: int] : ? [v11: int] : ? [v12: general] : ? [v13: int] : ? [v14: % 12.06/2.40 int] : ? [v15: general] : ? [v16: general] : ? [v17: general] : ? % 12.06/2.40 [v18: int] : ? [v19: int] : ? [v20: int] : ? [v21: general] : ? [v22: % 12.06/2.40 general] : ? [v23: general] : ? [v24: general] : ? [v25: general] : % 12.06/2.40 ? [v26: general] : ? [v27: general] : ? [v28: general] : ? [v29: int] : % 12.06/2.40 ? [v30: int] : ? [v31: int] : ? [v32: general] : ? [v33: general] : ? % 12.06/2.40 [v34: general] : ? [v35: general] : ? [v36: general] : ? [v37: general] % 12.06/2.40 : ? [v38: int] : (general(v37) & general(v36) & general(v35) & % 12.06/2.40 general(v34) & general(v28) & general(v27) & general(v26) & general(v25) % 12.06/2.40 & general(v24) & general(v23) & general(v17) & general(v16) & % 12.06/2.40 general(v15) & general(v8) & general(v7) & general(v6) & general(v5) & % 12.06/2.40 general(v4) & ((v38 = 0 & v37 = v2 & v36 = v1 & v35 = v2 & v34 = v1 & v3 % 12.06/2.40 = v0 & in0(v1, v2) = 0) | (v33 = v25 & v32 = v3 & v31 = 1 & v29 = 0 % 12.06/2.40 & v28 = v25 & v27 = v2 & v26 = v1 & v24 = v2 & v23 = v1 & goto(v1, % 12.06/2.40 v2, v25) = 0 & f__integer__($sum(v30, 1)) = v3 & f__integer__(v30) % 12.06/2.40 = v25) | (v22 = v6 & v21 = v3 & v20 = 1 & v18 = 0 & v17 = v6 & v16 = % 12.06/2.40 v2 & v15 = v1 & v14 = 1 & v13 = h_i & v12 = v6 & $difference(v10, % 12.06/2.40 h_i) = -1 & v9 = 0 & v8 = v6 & v7 = v6 & v5 = v2 & v4 = v1 & % 12.06/2.40 $lesseq(1, $difference(h_i, v11)) & $lesseq(0, v11) & in(v1, v2, v6) % 12.06/2.40 = 0 & f__integer__($sum(v19, 1)) = v3 & f__integer__(v19) = v6 & % 12.06/2.40 f__integer__(v11) = v6))))) % 12.06/2.40 % 12.06/2.40 (formula_9_base_case) % 12.06/2.40 ? [v0: general] : ? [v1: general] : ? [v2: general] : ? [v3: int] : ( ~ % 12.06/2.40 (v3 = 0) & in(v1, v2, v0) = 0 & person(v1) = v3 & f__integer__(0) = v0 & % 12.06/2.40 general(v2) & general(v1) & general(v0)) % 12.06/2.40 % 12.06/2.40 (function-axioms) % 12.31/2.41 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: general] : % 12.31/2.41 ! [v3: general] : ! [v4: general] : (v1 = v0 | ~ (in(v4, v3, v2) = v1) | ~ % 12.31/2.41 (in(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 12.31/2.41 MultipleValueBool] : ! [v2: general] : ! [v3: general] : ! [v4: general] % 12.31/2.41 : (v1 = v0 | ~ (goto(v4, v3, v2) = v1) | ~ (goto(v4, v3, v2) = v0)) & ! % 12.31/2.41 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: general] : ! % 12.31/2.41 [v3: general] : (v1 = v0 | ~ (in_building_p(v3, v2) = v1) | ~ % 12.31/2.41 (in_building_p(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 12.31/2.41 MultipleValueBool] : ! [v2: general] : ! [v3: general] : (v1 = v0 | ~ % 12.31/2.41 (in_building(v3, v2) = v1) | ~ (in_building(v3, v2) = v0)) & ! [v0: % 12.31/2.41 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: general] : ! [v3: % 12.31/2.41 general] : (v1 = v0 | ~ (go(v3, v2) = v1) | ~ (go(v3, v2) = v0)) & ! [v0: % 12.31/2.41 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: general] : ! [v3: % 12.31/2.41 general] : (v1 = v0 | ~ (in0(v3, v2) = v1) | ~ (in0(v3, v2) = v0)) & ! % 12.31/2.41 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: general] : ! % 12.31/2.41 [v3: general] : (v1 = v0 | ~ (p__greater__(v3, v2) = v1) | ~ % 12.31/2.41 (p__greater__(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 12.31/2.41 MultipleValueBool] : ! [v2: general] : ! [v3: general] : (v1 = v0 | ~ % 12.31/2.41 (p__greater_equal__(v3, v2) = v1) | ~ (p__greater_equal__(v3, v2) = v0)) & % 12.31/2.41 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: general] : ! % 12.31/2.41 [v3: general] : (v1 = v0 | ~ (p__less__(v3, v2) = v1) | ~ (p__less__(v3, v2) % 12.31/2.41 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 12.31/2.41 general] : ! [v3: general] : (v1 = v0 | ~ (p__less_equal__(v3, v2) = v1) | % 12.31/2.41 ~ (p__less_equal__(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 12.31/2.41 MultipleValueBool] : ! [v2: general] : (v1 = v0 | ~ (person(v2) = v1) | ~ % 12.31/2.41 (person(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] % 12.31/2.41 : ! [v2: general] : (v1 = v0 | ~ (p__is_symbolic__(v2) = v1) | ~ % 12.31/2.41 (p__is_symbolic__(v2) = v0)) & ! [v0: general] : ! [v1: general] : ! [v2: % 12.31/2.41 symbol] : (v1 = v0 | ~ (f__symbolic__(v2) = v1) | ~ (f__symbolic__(v2) = % 12.31/2.41 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 12.31/2.41 general] : (v1 = v0 | ~ (p__is_integer__(v2) = v1) | ~ % 12.31/2.41 (p__is_integer__(v2) = v0)) & ! [v0: general] : ! [v1: general] : ! [v2: % 12.31/2.41 int] : (v1 = v0 | ~ (f__integer__(v2) = v1) | ~ (f__integer__(v2) = v0)) % 12.31/2.41 % 12.31/2.41 Further assumptions not needed in the proof: % 12.31/2.41 -------------------------------------------- % 12.31/2.41 antisymmetric_ordering_ax, f__symbolic__def_ax, formula_0_unnamed_formula, % 12.31/2.41 formula_3_completed_definition_of_go_2, % 12.31/2.41 formula_4_completed_definition_of_in_building_2, % 12.31/2.41 formula_5_completed_definition_of_in_building_2, formula_6_constraint_0, % 12.31/2.41 formula_7_constraint_1, general_universe_ax, maximal_element_ax, % 12.31/2.41 minimal_element_ax, numeral_ordering_ax, numerals_less_than_symbols_ax, % 12.31/2.41 p__greater__def_ax, p__greater_equal__def_ax, p__is_integer__def_ax, % 12.31/2.41 p__is_symbolic__def_ax, p__less__def_ax, strongly_connected_ordering_ax, % 12.31/2.41 transitive_ordering_ax % 12.31/2.41 % 12.31/2.41 Those formulas are unsatisfiable: % 12.31/2.41 --------------------------------- % 12.31/2.41 % 12.31/2.41 Begin of proof % 12.31/2.41 | % 12.31/2.41 | ALPHA: (f__integer__def_ax) implies: % 12.31/2.41 | (1) ! [v0: int] : ! [v1: int] : ! [v2: general] : (v1 = v0 | ~ % 12.31/2.41 | (f__integer__(v1) = v2) | ~ (f__integer__(v0) = v2)) % 12.31/2.41 | (2) ! [v0: int] : ! [v1: general] : ! [v2: general] : (v2 = v1 | ~ % 12.31/2.41 | (f__integer__(v0) = v2) | ~ (f__integer__(v0) = v1)) % 12.31/2.41 | % 12.31/2.41 | ALPHA: (function-axioms) implies: % 12.31/2.42 | (3) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 12.31/2.42 | general] : (v1 = v0 | ~ (person(v2) = v1) | ~ (person(v2) = v0)) % 12.31/2.42 | % 12.31/2.42 | DELTA: instantiating (formula_9_base_case) with fresh symbols all_30_0, % 12.31/2.42 | all_30_1, all_30_2, all_30_3 gives: % 12.31/2.42 | (4) ~ (all_30_0 = 0) & in(all_30_2, all_30_1, all_30_3) = 0 & % 12.31/2.42 | person(all_30_2) = all_30_0 & f__integer__(0) = all_30_3 & % 12.31/2.42 | general(all_30_1) & general(all_30_2) & general(all_30_3) % 12.31/2.42 | % 12.31/2.42 | ALPHA: (4) implies: % 12.31/2.42 | (5) ~ (all_30_0 = 0) % 12.31/2.42 | (6) general(all_30_2) % 12.31/2.42 | (7) general(all_30_1) % 12.31/2.42 | (8) f__integer__(0) = all_30_3 % 12.31/2.42 | (9) person(all_30_2) = all_30_0 % 12.31/2.42 | (10) in(all_30_2, all_30_1, all_30_3) = 0 % 12.31/2.42 | % 12.31/2.42 | DELTA: instantiating (formula_8_completed_definition_of_in_3) with fresh % 12.31/2.42 | symbol all_34_0 gives: % 12.31/2.42 | (11) f__integer__(0) = all_34_0 & general(all_34_0) & ! [v0: general] : ! % 12.31/2.42 | [v1: general] : ! [v2: general] : ! [v3: int] : ! [v4: general] : % 12.31/2.42 | ! [v5: int] : (v3 = 0 | ~ (in(v0, v1, v2) = v3) | ~ (goto(v0, v1, % 12.31/2.42 | v4) = 0) | ~ (f__integer__($sum(v5, 1)) = v2) | ~ general(v4) % 12.31/2.42 | | ~ general(v2) | ~ general(v1) | ~ general(v0) | ? [v6: % 12.31/2.42 | general] : ( ~ (v6 = v4) & f__integer__(v5) = v6 & general(v6))) & % 12.31/2.42 | ! [v0: general] : ! [v1: general] : ! [v2: int] : (v2 = 0 | ~ % 12.31/2.42 | (in(v0, v1, all_34_0) = v2) | ~ (in0(v0, v1) = 0) | ~ general(v1) % 12.31/2.42 | | ~ general(v0)) & ! [v0: general] : ! [v1: general] : ! [v2: % 12.31/2.42 | general] : ( ~ (in(v0, v1, v2) = 0) | ~ general(v2) | ~ % 12.31/2.42 | general(v1) | ~ general(v0) | ? [v3: general] : ? [v4: general] : % 12.31/2.42 | ? [v5: general] : ? [v6: general] : ? [v7: general] : ? [v8: % 12.31/2.42 | int] : ? [v9: int] : ? [v10: int] : ? [v11: general] : ? [v12: % 12.31/2.42 | int] : ? [v13: int] : ? [v14: general] : ? [v15: general] : ? % 12.31/2.42 | [v16: general] : ? [v17: int] : ? [v18: int] : ? [v19: int] : ? % 12.31/2.42 | [v20: general] : ? [v21: general] : ? [v22: general] : ? [v23: % 12.31/2.42 | general] : ? [v24: general] : ? [v25: general] : ? [v26: % 12.31/2.42 | general] : ? [v27: general] : ? [v28: int] : ? [v29: int] : ? % 12.31/2.42 | [v30: int] : ? [v31: general] : ? [v32: general] : ? [v33: % 12.31/2.42 | general] : ? [v34: general] : ? [v35: general] : ? [v36: % 12.31/2.42 | general] : ? [v37: int] : (general(v36) & general(v35) & % 12.31/2.42 | general(v34) & general(v33) & general(v27) & general(v26) & % 12.31/2.42 | general(v25) & general(v24) & general(v23) & general(v22) & % 12.31/2.42 | general(v16) & general(v15) & general(v14) & general(v7) & % 12.31/2.42 | general(v6) & general(v5) & general(v4) & general(v3) & ((v37 = 0 % 12.31/2.42 | & v36 = v1 & v35 = v0 & v34 = v1 & v33 = v0 & v2 = all_34_0 & % 12.31/2.42 | in0(v0, v1) = 0) | (v32 = v24 & v31 = v2 & v30 = 1 & v28 = 0 & % 12.31/2.42 | v27 = v24 & v26 = v1 & v25 = v0 & v23 = v1 & v22 = v0 & % 12.31/2.42 | goto(v0, v1, v24) = 0 & f__integer__($sum(v29, 1)) = v2 & % 12.31/2.42 | f__integer__(v29) = v24) | (v21 = v5 & v20 = v2 & v19 = 1 & % 12.31/2.42 | v17 = 0 & v16 = v5 & v15 = v1 & v14 = v0 & v13 = 1 & v12 = h_i % 12.31/2.42 | & v11 = v5 & $difference(v9, h_i) = -1 & v8 = 0 & v7 = v5 & v6 % 12.31/2.42 | = v5 & v4 = v1 & v3 = v0 & $lesseq(1, $difference(h_i, v10)) & % 12.31/2.42 | $lesseq(0, v10) & in(v0, v1, v5) = 0 & f__integer__($sum(v18, % 12.31/2.43 | 1)) = v2 & f__integer__(v18) = v5 & f__integer__(v10) = % 12.31/2.43 | v5)))) % 12.31/2.43 | % 12.31/2.43 | ALPHA: (11) implies: % 12.31/2.43 | (12) general(all_34_0) % 12.31/2.43 | (13) f__integer__(0) = all_34_0 % 12.31/2.43 | (14) ! [v0: general] : ! [v1: general] : ! [v2: general] : ( ~ (in(v0, % 12.31/2.43 | v1, v2) = 0) | ~ general(v2) | ~ general(v1) | ~ general(v0) % 12.31/2.43 | | ? [v3: general] : ? [v4: general] : ? [v5: general] : ? [v6: % 12.31/2.43 | general] : ? [v7: general] : ? [v8: int] : ? [v9: int] : ? % 12.31/2.43 | [v10: int] : ? [v11: general] : ? [v12: int] : ? [v13: int] : ? % 12.31/2.43 | [v14: general] : ? [v15: general] : ? [v16: general] : ? [v17: % 12.31/2.43 | int] : ? [v18: int] : ? [v19: int] : ? [v20: general] : ? % 12.31/2.43 | [v21: general] : ? [v22: general] : ? [v23: general] : ? [v24: % 12.31/2.43 | general] : ? [v25: general] : ? [v26: general] : ? [v27: % 12.31/2.43 | general] : ? [v28: int] : ? [v29: int] : ? [v30: int] : ? % 12.31/2.43 | [v31: general] : ? [v32: general] : ? [v33: general] : ? [v34: % 12.31/2.43 | general] : ? [v35: general] : ? [v36: general] : ? [v37: int] : % 12.31/2.43 | (general(v36) & general(v35) & general(v34) & general(v33) & % 12.31/2.43 | general(v27) & general(v26) & general(v25) & general(v24) & % 12.31/2.43 | general(v23) & general(v22) & general(v16) & general(v15) & % 12.31/2.43 | general(v14) & general(v7) & general(v6) & general(v5) & % 12.31/2.43 | general(v4) & general(v3) & ((v37 = 0 & v36 = v1 & v35 = v0 & v34 % 12.31/2.43 | = v1 & v33 = v0 & v2 = all_34_0 & in0(v0, v1) = 0) | (v32 = % 12.31/2.43 | v24 & v31 = v2 & v30 = 1 & v28 = 0 & v27 = v24 & v26 = v1 & % 12.31/2.43 | v25 = v0 & v23 = v1 & v22 = v0 & goto(v0, v1, v24) = 0 & % 12.31/2.43 | f__integer__($sum(v29, 1)) = v2 & f__integer__(v29) = v24) | % 12.31/2.43 | (v21 = v5 & v20 = v2 & v19 = 1 & v17 = 0 & v16 = v5 & v15 = v1 & % 12.31/2.43 | v14 = v0 & v13 = 1 & v12 = h_i & v11 = v5 & $difference(v9, % 12.31/2.43 | h_i) = -1 & v8 = 0 & v7 = v5 & v6 = v5 & v4 = v1 & v3 = v0 & % 12.31/2.43 | $lesseq(1, $difference(h_i, v10)) & $lesseq(0, v10) & in(v0, % 12.31/2.43 | v1, v5) = 0 & f__integer__($sum(v18, 1)) = v2 & % 12.31/2.43 | f__integer__(v18) = v5 & f__integer__(v10) = v5)))) % 12.31/2.43 | % 12.31/2.43 | GROUND_INST: instantiating (2) with 0, all_30_3, all_34_0, simplifying with % 12.31/2.43 | (8), (13) gives: % 12.31/2.43 | (15) all_34_0 = all_30_3 % 12.31/2.43 | % 12.31/2.43 | REDUCE: (12), (15) imply: % 12.31/2.43 | (16) general(all_30_3) % 12.31/2.43 | % 12.31/2.43 | GROUND_INST: instantiating (14) with all_30_2, all_30_1, all_30_3, simplifying % 12.31/2.43 | with (6), (7), (10), (16) gives: % 12.31/2.44 | (17) ? [v0: general] : ? [v1: general] : ? [v2: general] : ? [v3: % 12.31/2.44 | general] : ? [v4: general] : ? [v5: int] : ? [v6: int] : ? [v7: % 12.31/2.44 | int] : ? [v8: general] : ? [v9: int] : ? [v10: int] : ? [v11: % 12.31/2.44 | general] : ? [v12: general] : ? [v13: general] : ? [v14: int] : % 12.31/2.44 | ? [v15: int] : ? [v16: int] : ? [v17: int] : ? [v18: general] : ? % 12.31/2.44 | [v19: general] : ? [v20: general] : ? [v21: general] : ? [v22: % 12.31/2.44 | general] : ? [v23: general] : ? [v24: general] : ? [v25: int] : % 12.31/2.44 | ? [v26: int] : ? [v27: int] : ? [v28: int] : ? [v29: general] : ? % 12.31/2.44 | [v30: general] : ? [v31: general] : ? [v32: general] : ? [v33: % 12.31/2.44 | general] : ? [v34: int] : (general(v33) & general(v32) & % 12.31/2.44 | general(v31) & general(v30) & general(v24) & general(v23) & % 12.31/2.44 | general(v22) & general(v21) & general(v20) & general(v19) & % 12.31/2.44 | general(v13) & general(v12) & general(v11) & general(v4) & % 12.31/2.44 | general(v3) & general(v2) & general(v1) & general(v0) & ((v34 = 0 & % 12.31/2.44 | v33 = all_30_1 & v32 = all_30_2 & v31 = all_30_1 & v30 = % 12.31/2.44 | all_30_2 & all_34_0 = all_30_3 & in0(all_30_2, all_30_1) = 0) | % 12.31/2.44 | (v29 = v21 & v28 = all_30_3 & v27 = 1 & v25 = 0 & v24 = v21 & v23 % 12.31/2.44 | = all_30_1 & v22 = all_30_2 & v20 = all_30_1 & v19 = all_30_2 & % 12.31/2.44 | goto(all_30_2, all_30_1, v21) = 0 & f__integer__($sum(v26, 1)) = % 12.31/2.44 | all_30_3 & f__integer__(v26) = v21) | (v18 = v2 & v17 = all_30_3 % 12.31/2.44 | & v16 = 1 & v14 = 0 & v13 = v2 & v12 = all_30_1 & v11 = all_30_2 % 12.31/2.44 | & v10 = 1 & v9 = h_i & v8 = v2 & $difference(v6, h_i) = -1 & v5 % 12.31/2.44 | = 0 & v4 = v2 & v3 = v2 & v1 = all_30_1 & v0 = all_30_2 & % 12.31/2.44 | $lesseq(1, $difference(h_i, v7)) & $lesseq(0, v7) & in(all_30_2, % 12.31/2.44 | all_30_1, v2) = 0 & f__integer__($sum(v15, 1)) = all_30_3 & % 12.31/2.44 | f__integer__(v15) = v2 & f__integer__(v7) = v2))) % 12.31/2.44 | % 12.31/2.44 | DELTA: instantiating (17) with fresh symbols all_47_0, all_47_1, all_47_2, % 12.31/2.44 | all_47_3, all_47_4, all_47_5, all_47_6, all_47_7, all_47_8, all_47_9, % 12.31/2.44 | all_47_10, all_47_11, all_47_12, all_47_13, all_47_14, all_47_15, % 12.31/2.44 | all_47_16, all_47_17, all_47_18, all_47_19, all_47_20, all_47_21, % 12.31/2.44 | all_47_22, all_47_23, all_47_24, all_47_25, all_47_26, all_47_27, % 12.31/2.44 | all_47_28, all_47_29, all_47_30, all_47_31, all_47_32, all_47_33, % 12.31/2.44 | all_47_34 gives: % 12.31/2.44 | (18) general(all_47_1) & general(all_47_2) & general(all_47_3) & % 12.31/2.44 | general(all_47_4) & general(all_47_10) & general(all_47_11) & % 12.31/2.44 | general(all_47_12) & general(all_47_13) & general(all_47_14) & % 12.31/2.44 | general(all_47_15) & general(all_47_21) & general(all_47_22) & % 12.31/2.44 | general(all_47_23) & general(all_47_30) & general(all_47_31) & % 12.31/2.44 | general(all_47_32) & general(all_47_33) & general(all_47_34) & % 12.31/2.44 | ((all_47_0 = 0 & all_47_1 = all_30_1 & all_47_2 = all_30_2 & all_47_3 % 12.31/2.44 | = all_30_1 & all_47_4 = all_30_2 & all_34_0 = all_30_3 & % 12.31/2.44 | in0(all_30_2, all_30_1) = 0) | (all_47_5 = all_47_13 & all_47_6 = % 12.31/2.44 | all_30_3 & all_47_7 = 1 & all_47_9 = 0 & all_47_10 = all_47_13 & % 12.31/2.44 | all_47_11 = all_30_1 & all_47_12 = all_30_2 & all_47_14 = all_30_1 % 12.31/2.44 | & all_47_15 = all_30_2 & goto(all_30_2, all_30_1, all_47_13) = 0 & % 12.31/2.44 | f__integer__($sum(all_47_8, 1)) = all_30_3 & % 12.31/2.44 | f__integer__(all_47_8) = all_47_13) | (all_47_16 = all_47_32 & % 12.31/2.44 | all_47_17 = all_30_3 & all_47_18 = 1 & all_47_20 = 0 & all_47_21 = % 12.31/2.44 | all_47_32 & all_47_22 = all_30_1 & all_47_23 = all_30_2 & % 12.31/2.44 | all_47_24 = 1 & all_47_25 = h_i & all_47_26 = all_47_32 & % 12.31/2.44 | $difference(all_47_28, h_i) = -1 & all_47_29 = 0 & all_47_30 = % 12.31/2.44 | all_47_32 & all_47_31 = all_47_32 & all_47_33 = all_30_1 & % 12.31/2.44 | all_47_34 = all_30_2 & $lesseq(1, $difference(h_i, all_47_27)) & % 12.31/2.44 | $lesseq(0, all_47_27) & in(all_30_2, all_30_1, all_47_32) = 0 & % 12.31/2.44 | f__integer__($sum(all_47_19, 1)) = all_30_3 & % 12.31/2.44 | f__integer__(all_47_19) = all_47_32 & f__integer__(all_47_27) = % 12.31/2.44 | all_47_32)) % 12.31/2.44 | % 12.31/2.44 | ALPHA: (18) implies: % 12.31/2.44 | (19) general(all_47_15) % 12.31/2.44 | (20) general(all_47_14) % 12.31/2.44 | (21) general(all_47_10) % 12.31/2.44 | (22) general(all_47_4) % 12.31/2.44 | (23) general(all_47_3) % 12.31/2.45 | (24) (all_47_0 = 0 & all_47_1 = all_30_1 & all_47_2 = all_30_2 & all_47_3 = % 12.31/2.45 | all_30_1 & all_47_4 = all_30_2 & all_34_0 = all_30_3 & in0(all_30_2, % 12.31/2.45 | all_30_1) = 0) | (all_47_5 = all_47_13 & all_47_6 = all_30_3 & % 12.31/2.45 | all_47_7 = 1 & all_47_9 = 0 & all_47_10 = all_47_13 & all_47_11 = % 12.31/2.45 | all_30_1 & all_47_12 = all_30_2 & all_47_14 = all_30_1 & all_47_15 = % 12.31/2.45 | all_30_2 & goto(all_30_2, all_30_1, all_47_13) = 0 & % 12.31/2.45 | f__integer__($sum(all_47_8, 1)) = all_30_3 & f__integer__(all_47_8) % 12.31/2.45 | = all_47_13) | (all_47_16 = all_47_32 & all_47_17 = all_30_3 & % 12.31/2.45 | all_47_18 = 1 & all_47_20 = 0 & all_47_21 = all_47_32 & all_47_22 = % 12.31/2.45 | all_30_1 & all_47_23 = all_30_2 & all_47_24 = 1 & all_47_25 = h_i & % 12.31/2.45 | all_47_26 = all_47_32 & $difference(all_47_28, h_i) = -1 & all_47_29 % 12.31/2.45 | = 0 & all_47_30 = all_47_32 & all_47_31 = all_47_32 & all_47_33 = % 12.31/2.45 | all_30_1 & all_47_34 = all_30_2 & $lesseq(1, $difference(h_i, % 12.31/2.45 | all_47_27)) & $lesseq(0, all_47_27) & in(all_30_2, all_30_1, % 12.31/2.45 | all_47_32) = 0 & f__integer__($sum(all_47_19, 1)) = all_30_3 & % 12.31/2.45 | f__integer__(all_47_19) = all_47_32 & f__integer__(all_47_27) = % 12.31/2.45 | all_47_32) % 12.31/2.45 | % 12.31/2.45 | BETA: splitting (24) gives: % 12.31/2.45 | % 12.31/2.45 | Case 1: % 12.31/2.45 | | % 12.31/2.45 | | (25) all_47_0 = 0 & all_47_1 = all_30_1 & all_47_2 = all_30_2 & all_47_3 % 12.31/2.45 | | = all_30_1 & all_47_4 = all_30_2 & all_34_0 = all_30_3 & % 12.31/2.45 | | in0(all_30_2, all_30_1) = 0 % 12.31/2.45 | | % 12.31/2.45 | | ALPHA: (25) implies: % 12.31/2.45 | | (26) all_47_4 = all_30_2 % 12.31/2.45 | | (27) all_47_3 = all_30_1 % 12.31/2.45 | | (28) in0(all_30_2, all_30_1) = 0 % 12.31/2.45 | | % 12.54/2.45 | | GROUND_INST: instantiating (formula_1_unnamed_formula) with all_30_2, % 12.54/2.45 | | all_30_1, simplifying with (6), (7), (28) gives: % 12.54/2.45 | | (29) person(all_30_2) = 0 % 12.54/2.45 | | % 12.54/2.45 | | GROUND_INST: instantiating (3) with all_30_0, 0, all_30_2, simplifying with % 12.54/2.45 | | (9), (29) gives: % 12.54/2.45 | | (30) all_30_0 = 0 % 12.54/2.45 | | % 12.54/2.45 | | REDUCE: (5), (30) imply: % 12.54/2.45 | | (31) $false % 12.54/2.45 | | % 12.54/2.45 | | CLOSE: (31) is inconsistent. % 12.54/2.45 | | % 12.54/2.45 | Case 2: % 12.54/2.45 | | % 12.54/2.45 | | (32) (all_47_5 = all_47_13 & all_47_6 = all_30_3 & all_47_7 = 1 & % 12.54/2.45 | | all_47_9 = 0 & all_47_10 = all_47_13 & all_47_11 = all_30_1 & % 12.54/2.45 | | all_47_12 = all_30_2 & all_47_14 = all_30_1 & all_47_15 = all_30_2 % 12.54/2.45 | | & goto(all_30_2, all_30_1, all_47_13) = 0 & % 12.54/2.45 | | f__integer__($sum(all_47_8, 1)) = all_30_3 & % 12.54/2.45 | | f__integer__(all_47_8) = all_47_13) | (all_47_16 = all_47_32 & % 12.54/2.45 | | all_47_17 = all_30_3 & all_47_18 = 1 & all_47_20 = 0 & all_47_21 = % 12.54/2.45 | | all_47_32 & all_47_22 = all_30_1 & all_47_23 = all_30_2 & % 12.54/2.45 | | all_47_24 = 1 & all_47_25 = h_i & all_47_26 = all_47_32 & % 12.54/2.45 | | $difference(all_47_28, h_i) = -1 & all_47_29 = 0 & all_47_30 = % 12.54/2.45 | | all_47_32 & all_47_31 = all_47_32 & all_47_33 = all_30_1 & % 12.54/2.45 | | all_47_34 = all_30_2 & $lesseq(1, $difference(h_i, all_47_27)) & % 12.54/2.45 | | $lesseq(0, all_47_27) & in(all_30_2, all_30_1, all_47_32) = 0 & % 12.54/2.45 | | f__integer__($sum(all_47_19, 1)) = all_30_3 & % 12.54/2.45 | | f__integer__(all_47_19) = all_47_32 & f__integer__(all_47_27) = % 12.54/2.45 | | all_47_32) % 12.54/2.45 | | % 12.54/2.45 | | BETA: splitting (32) gives: % 12.54/2.45 | | % 12.54/2.45 | | Case 1: % 12.54/2.45 | | | % 12.54/2.45 | | | (33) all_47_5 = all_47_13 & all_47_6 = all_30_3 & all_47_7 = 1 & % 12.54/2.45 | | | all_47_9 = 0 & all_47_10 = all_47_13 & all_47_11 = all_30_1 & % 12.54/2.45 | | | all_47_12 = all_30_2 & all_47_14 = all_30_1 & all_47_15 = all_30_2 % 12.54/2.45 | | | & goto(all_30_2, all_30_1, all_47_13) = 0 & % 12.54/2.45 | | | f__integer__($sum(all_47_8, 1)) = all_30_3 & % 12.54/2.45 | | | f__integer__(all_47_8) = all_47_13 % 12.54/2.45 | | | % 12.54/2.45 | | | ALPHA: (33) implies: % 12.54/2.45 | | | (34) all_47_15 = all_30_2 % 12.54/2.45 | | | (35) all_47_14 = all_30_1 % 12.54/2.45 | | | (36) all_47_10 = all_47_13 % 12.54/2.45 | | | (37) goto(all_30_2, all_30_1, all_47_13) = 0 % 12.54/2.45 | | | % 12.54/2.45 | | | REDUCE: (21), (36) imply: % 12.54/2.45 | | | (38) general(all_47_13) % 12.54/2.45 | | | % 12.54/2.45 | | | GROUND_INST: instantiating (formula_2_unnamed_formula) with all_30_2, % 12.54/2.45 | | | all_30_1, all_47_13, simplifying with (6), (7), (37), (38) % 12.54/2.45 | | | gives: % 12.54/2.45 | | | (39) person(all_30_2) = 0 % 12.54/2.45 | | | % 12.54/2.46 | | | GROUND_INST: instantiating (3) with all_30_0, 0, all_30_2, simplifying % 12.54/2.46 | | | with (9), (39) gives: % 12.54/2.46 | | | (40) all_30_0 = 0 % 12.54/2.46 | | | % 12.54/2.46 | | | REDUCE: (5), (40) imply: % 12.54/2.46 | | | (41) $false % 12.54/2.46 | | | % 12.54/2.46 | | | CLOSE: (41) is inconsistent. % 12.54/2.46 | | | % 12.54/2.46 | | Case 2: % 12.54/2.46 | | | % 12.54/2.46 | | | (42) all_47_16 = all_47_32 & all_47_17 = all_30_3 & all_47_18 = 1 & % 12.54/2.46 | | | all_47_20 = 0 & all_47_21 = all_47_32 & all_47_22 = all_30_1 & % 12.54/2.46 | | | all_47_23 = all_30_2 & all_47_24 = 1 & all_47_25 = h_i & all_47_26 % 12.54/2.46 | | | = all_47_32 & $difference(all_47_28, h_i) = -1 & all_47_29 = 0 & % 12.54/2.46 | | | all_47_30 = all_47_32 & all_47_31 = all_47_32 & all_47_33 = % 12.54/2.46 | | | all_30_1 & all_47_34 = all_30_2 & $lesseq(1, $difference(h_i, % 12.54/2.46 | | | all_47_27)) & $lesseq(0, all_47_27) & in(all_30_2, all_30_1, % 12.54/2.46 | | | all_47_32) = 0 & f__integer__($sum(all_47_19, 1)) = all_30_3 & % 12.54/2.46 | | | f__integer__(all_47_19) = all_47_32 & f__integer__(all_47_27) = % 12.54/2.46 | | | all_47_32 % 12.54/2.46 | | | % 12.54/2.46 | | | ALPHA: (42) implies: % 12.54/2.46 | | | (43) $lesseq(0, all_47_27) % 12.54/2.46 | | | (44) f__integer__(all_47_27) = all_47_32 % 12.54/2.46 | | | (45) f__integer__(all_47_19) = all_47_32 % 12.54/2.46 | | | (46) f__integer__($sum(all_47_19, 1)) = all_30_3 % 12.54/2.46 | | | % 12.54/2.46 | | | GROUND_INST: instantiating (1) with all_47_27, all_47_19, all_47_32, % 12.54/2.46 | | | simplifying with (44), (45) gives: % 12.54/2.46 | | | (47) all_47_19 = all_47_27 % 12.54/2.46 | | | % 12.54/2.46 | | | GROUND_INST: instantiating (1) with 0, $sum(all_47_19, 1), all_30_3, % 12.54/2.46 | | | simplifying with (8), (46) gives: % 12.54/2.46 | | | (48) all_47_19 = -1 % 12.54/2.46 | | | % 12.54/2.46 | | | COMBINE_EQS: (47), (48) imply: % 12.54/2.46 | | | (49) all_47_27 = -1 % 12.54/2.46 | | | % 12.54/2.46 | | | SIMP: (49) implies: % 12.54/2.46 | | | (50) all_47_27 = -1 % 12.54/2.46 | | | % 12.54/2.46 | | | REDUCE: (43), (50) imply: % 12.54/2.46 | | | (51) $false % 12.54/2.46 | | | % 12.54/2.46 | | | CLOSE: (51) is inconsistent. % 12.54/2.46 | | | % 12.54/2.46 | | End of split % 12.54/2.46 | | % 12.54/2.46 | End of split % 12.54/2.46 | % 12.54/2.46 End of proof % 12.54/2.46 % SZS output end Proof for theBenchmark % 12.54/2.46 % 12.54/2.46 1841ms %------------------------------------------------------------------------------