%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SET720+4 : TPTP v8.1.2. Bugfixed v2.2.1. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n023.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 15:26:08 EDT 2023 % Result : Theorem 11.68s 2.32s % Output : Proof 14.77s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SET720+4 : TPTP v8.1.2. Bugfixed v2.2.1. % 0.07/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.12/0.33 % Computer : n023.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 : Sat Aug 26 13:34:26 EDT 2023 % 0.12/0.33 % CPUTime : % 0.51/0.59 ________ _____ % 0.51/0.59 ___ __ \_________(_)________________________________ % 0.51/0.59 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.51/0.59 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.51/0.59 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.51/0.60 % 0.51/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.51/0.60 (2023-06-19) % 0.51/0.60 % 0.51/0.60 (c) Philipp Rümmer, 2009-2023 % 0.51/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.51/0.60 Amanda Stjerna. % 0.51/0.60 Free software under BSD-3-Clause. % 0.51/0.60 % 0.51/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.51/0.60 % 0.51/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.51/0.61 Running up to 7 provers in parallel. % 0.51/0.62 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.51/0.62 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.51/0.62 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.51/0.62 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.51/0.62 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.51/0.62 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.51/0.62 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.90/1.24 Prover 1: Preprocessing ... % 3.90/1.24 Prover 4: Preprocessing ... % 4.13/1.28 Prover 0: Preprocessing ... % 4.13/1.28 Prover 3: Preprocessing ... % 4.13/1.28 Prover 2: Preprocessing ... % 4.13/1.28 Prover 5: Preprocessing ... % 4.13/1.28 Prover 6: Preprocessing ... % 9.38/2.00 Prover 5: Proving ... % 9.38/2.01 Prover 2: Proving ... % 9.38/2.03 Prover 6: Proving ... % 10.06/2.08 Prover 3: Constructing countermodel ... % 10.06/2.11 Prover 1: Constructing countermodel ... % 11.68/2.32 Prover 3: proved (1704ms) % 11.68/2.32 % 11.68/2.32 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 11.68/2.32 % 11.68/2.33 Prover 5: stopped % 11.68/2.33 Prover 2: stopped % 11.68/2.33 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 11.68/2.33 Prover 6: stopped % 12.07/2.34 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 12.07/2.34 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 12.07/2.35 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 12.61/2.42 Prover 8: Preprocessing ... % 12.61/2.42 Prover 10: Preprocessing ... % 12.61/2.44 Prover 7: Preprocessing ... % 12.61/2.45 Prover 11: Preprocessing ... % 12.98/2.46 Prover 1: Found proof (size 60) % 12.98/2.46 Prover 1: proved (1845ms) % 12.98/2.47 Prover 10: stopped % 12.98/2.50 Prover 7: stopped % 12.98/2.53 Prover 0: Proving ... % 12.98/2.53 Prover 0: stopped % 12.98/2.54 Prover 4: Constructing countermodel ... % 13.61/2.55 Prover 4: stopped % 13.85/2.58 Prover 11: stopped % 14.19/2.66 Prover 8: Warning: ignoring some quantifiers % 14.19/2.67 Prover 8: Constructing countermodel ... % 14.19/2.68 Prover 8: stopped % 14.19/2.68 % 14.19/2.68 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 14.19/2.68 % 14.19/2.69 % SZS output start Proof for theBenchmark % 14.19/2.69 Assumptions after simplification: % 14.19/2.69 --------------------------------- % 14.19/2.69 % 14.19/2.69 (equal_maps) % 14.19/2.72 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0 % 14.19/2.72 | ~ (equal_maps(v0, v1, v2, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | % 14.19/2.72 ~ $i(v0) | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ( ~ (v7 = v6) & % 14.19/2.72 apply(v1, v5, v7) = 0 & apply(v0, v5, v6) = 0 & member(v7, v3) = 0 & % 14.19/2.72 member(v6, v3) = 0 & member(v5, v2) = 0 & $i(v7) & $i(v6) & $i(v5))) & ! % 14.19/2.72 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (equal_maps(v0, v1, % 14.19/2.72 v2, v3) = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ! [v4: % 14.19/2.72 $i] : ! [v5: $i] : ! [v6: $i] : (v6 = v5 | ~ (apply(v1, v4, v6) = 0) | % 14.19/2.72 ~ (apply(v0, v4, v5) = 0) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ? [v7: % 14.19/2.72 any] : ? [v8: any] : ? [v9: any] : (member(v6, v3) = v9 & member(v5, % 14.19/2.72 v3) = v8 & member(v4, v2) = v7 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = % 14.19/2.72 0))))) % 14.19/2.72 % 14.19/2.72 (inverse_function) % 14.52/2.72 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 14.52/2.72 $i] : ! [v6: any] : ( ~ (inverse_function(v0, v1, v2) = v5) | ~ (apply(v5, % 14.52/2.72 v4, v3) = v6) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 14.52/2.72 $i(v0) | ? [v7: any] : ? [v8: any] : ? [v9: any] : (apply(v0, v3, v4) = % 14.52/2.72 v9 & member(v4, v2) = v8 & member(v3, v1) = v7 & ( ~ (v8 = 0) | ~ (v7 = % 14.52/2.72 0) | (( ~ (v9 = 0) | v6 = 0) & ( ~ (v6 = 0) | v9 = 0))))) % 14.52/2.72 % 14.52/2.72 (maps) % 14.52/2.73 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 14.52/2.73 (maps(v0, v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: $i] : % 14.52/2.73 ? [v5: $i] : ? [v6: $i] : ( ~ (v6 = v5) & apply(v0, v4, v6) = 0 & apply(v0, % 14.52/2.73 v4, v5) = 0 & member(v6, v2) = 0 & member(v5, v2) = 0 & member(v4, v1) = % 14.52/2.73 0 & $i(v6) & $i(v5) & $i(v4)) | ? [v4: $i] : (member(v4, v1) = 0 & $i(v4) % 14.52/2.73 & ! [v5: $i] : ( ~ (apply(v0, v4, v5) = 0) | ~ $i(v5) | ? [v6: int] : ( % 14.52/2.73 ~ (v6 = 0) & member(v5, v2) = v6)))) & ! [v0: $i] : ! [v1: $i] : ! % 14.52/2.73 [v2: $i] : ( ~ (maps(v0, v1, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ( % 14.52/2.73 ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v5 = v4 | ~ (apply(v0, v3, v5) % 14.52/2.73 = 0) | ~ (apply(v0, v3, v4) = 0) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) % 14.52/2.73 | ? [v6: any] : ? [v7: any] : ? [v8: any] : (member(v5, v2) = v8 & % 14.52/2.73 member(v4, v2) = v7 & member(v3, v1) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) % 14.52/2.73 | ~ (v6 = 0)))) & ! [v3: $i] : ( ~ (member(v3, v1) = 0) | ~ % 14.52/2.73 $i(v3) | ? [v4: $i] : (apply(v0, v3, v4) = 0 & member(v4, v2) = 0 & % 14.52/2.73 $i(v4))))) % 14.52/2.73 % 14.52/2.73 (thII11) % 14.52/2.73 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: % 14.52/2.73 int] : ( ~ (v5 = 0) & inverse_function(v3, v2, v1) = v4 & % 14.52/2.73 inverse_function(v0, v1, v2) = v3 & one_to_one(v0, v1, v2) = 0 & % 14.52/2.73 equal_maps(v4, v0, v1, v2) = v5 & maps(v0, v1, v2) = 0 & $i(v4) & $i(v3) & % 14.52/2.73 $i(v2) & $i(v1) & $i(v0)) % 14.52/2.73 % 14.52/2.73 (function-axioms) % 14.52/2.74 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 14.52/2.74 [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : (v1 = v0 | % 14.52/2.74 ~ (compose_predicate(v7, v6, v5, v4, v3, v2) = v1) | ~ % 14.52/2.74 (compose_predicate(v7, v6, v5, v4, v3, v2) = v0)) & ! [v0: % 14.52/2.74 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 14.52/2.74 : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v1 = v0 | ~ (isomorphism(v6, v5, % 14.52/2.74 v4, v3, v2) = v1) | ~ (isomorphism(v6, v5, v4, v3, v2) = v0)) & ! [v0: % 14.52/2.74 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 14.52/2.74 : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v1 = v0 | ~ (decreasing(v6, v5, % 14.52/2.74 v4, v3, v2) = v1) | ~ (decreasing(v6, v5, v4, v3, v2) = v0)) & ! [v0: % 14.52/2.74 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 14.52/2.74 : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v1 = v0 | ~ (increasing(v6, v5, % 14.52/2.74 v4, v3, v2) = v1) | ~ (increasing(v6, v5, v4, v3, v2) = v0)) & ! [v0: % 14.52/2.74 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : % 14.52/2.74 ! [v6: $i] : (v1 = v0 | ~ (compose_function(v6, v5, v4, v3, v2) = v1) | ~ % 14.52/2.74 (compose_function(v6, v5, v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : % 14.52/2.74 ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 14.52/2.74 $i] : (v1 = v0 | ~ (inverse_predicate(v5, v4, v3, v2) = v1) | ~ % 14.52/2.74 (inverse_predicate(v5, v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! % 14.52/2.74 [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 14.52/2.74 $i] : (v1 = v0 | ~ (equal_maps(v5, v4, v3, v2) = v1) | ~ (equal_maps(v5, % 14.52/2.74 v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 14.52/2.74 $i] : ! [v4: $i] : (v1 = v0 | ~ (inverse_image3(v4, v3, v2) = v1) | ~ % 14.52/2.74 (inverse_image3(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] % 14.52/2.74 : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (image3(v4, v3, v2) = v1) | ~ % 14.52/2.74 (image3(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 14.52/2.74 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (inverse_function(v4, v3, v2) = v1) | % 14.52/2.74 ~ (inverse_function(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! % 14.52/2.74 [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | % 14.52/2.74 ~ (one_to_one(v4, v3, v2) = v1) | ~ (one_to_one(v4, v3, v2) = v0)) & ! % 14.52/2.74 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 14.52/2.74 $i] : ! [v4: $i] : (v1 = v0 | ~ (surjective(v4, v3, v2) = v1) | ~ % 14.52/2.74 (surjective(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 14.52/2.74 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ % 14.52/2.74 (injective(v4, v3, v2) = v1) | ~ (injective(v4, v3, v2) = v0)) & ! [v0: % 14.52/2.74 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 14.52/2.74 : ! [v4: $i] : (v1 = v0 | ~ (maps(v4, v3, v2) = v1) | ~ (maps(v4, v3, v2) = % 14.52/2.74 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 14.52/2.74 $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (apply(v4, v3, v2) = v1) | % 14.52/2.74 ~ (apply(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 14.52/2.74 [v3: $i] : (v1 = v0 | ~ (inverse_image2(v3, v2) = v1) | ~ % 14.52/2.74 (inverse_image2(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 14.52/2.74 ! [v3: $i] : (v1 = v0 | ~ (image2(v3, v2) = v1) | ~ (image2(v3, v2) = v0)) & % 14.52/2.74 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 14.52/2.74 [v3: $i] : (v1 = v0 | ~ (identity(v3, v2) = v1) | ~ (identity(v3, v2) = v0)) % 14.52/2.74 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 14.52/2.74 (unordered_pair(v3, v2) = v1) | ~ (unordered_pair(v3, v2) = v0)) & ! [v0: % 14.52/2.74 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 14.52/2.74 (difference(v3, v2) = v1) | ~ (difference(v3, v2) = v0)) & ! [v0: $i] : ! % 14.52/2.74 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (union(v3, v2) = v1) | ~ % 14.52/2.74 (union(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 14.52/2.74 $i] : (v1 = v0 | ~ (intersection(v3, v2) = v1) | ~ (intersection(v3, v2) = % 14.52/2.74 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 14.52/2.74 $i] : ! [v3: $i] : (v1 = v0 | ~ (equal_set(v3, v2) = v1) | ~ % 14.52/2.74 (equal_set(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 14.52/2.74 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (subset(v3, % 14.52/2.74 v2) = v1) | ~ (subset(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! % 14.52/2.74 [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 14.52/2.74 (member(v3, v2) = v1) | ~ (member(v3, v2) = v0)) & ! [v0: $i] : ! [v1: % 14.52/2.74 $i] : ! [v2: $i] : (v1 = v0 | ~ (product(v2) = v1) | ~ (product(v2) = % 14.52/2.74 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (sum(v2) = % 14.52/2.74 v1) | ~ (sum(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = % 14.52/2.74 v0 | ~ (singleton(v2) = v1) | ~ (singleton(v2) = v0)) & ! [v0: $i] : ! % 14.52/2.74 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (power_set(v2) = v1) | ~ % 14.52/2.74 (power_set(v2) = v0)) % 14.52/2.74 % 14.52/2.74 Further assumptions not needed in the proof: % 14.52/2.74 -------------------------------------------- % 14.52/2.74 compose_function, compose_predicate, decreasing_function, difference, empty_set, % 14.52/2.74 equal_set, identity, image2, image3, increasing_function, injective, % 14.52/2.74 intersection, inverse_image2, inverse_image3, inverse_predicate, isomorphism, % 14.52/2.74 one_to_one, power_set, product, singleton, subset, sum, surjective, union, % 14.52/2.74 unordered_pair % 14.52/2.74 % 14.52/2.74 Those formulas are unsatisfiable: % 14.52/2.74 --------------------------------- % 14.52/2.74 % 14.52/2.74 Begin of proof % 14.52/2.74 | % 14.52/2.74 | ALPHA: (maps) implies: % 14.52/2.74 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (maps(v0, v1, v2) = 0) | % 14.52/2.74 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ( ! [v3: $i] : ! [v4: $i] : ! % 14.52/2.74 | [v5: $i] : (v5 = v4 | ~ (apply(v0, v3, v5) = 0) | ~ (apply(v0, % 14.52/2.74 | v3, v4) = 0) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ? [v6: % 14.52/2.74 | any] : ? [v7: any] : ? [v8: any] : (member(v5, v2) = v8 & % 14.52/2.74 | member(v4, v2) = v7 & member(v3, v1) = v6 & ( ~ (v8 = 0) | ~ % 14.52/2.74 | (v7 = 0) | ~ (v6 = 0)))) & ! [v3: $i] : ( ~ (member(v3, v1) % 14.52/2.74 | = 0) | ~ $i(v3) | ? [v4: $i] : (apply(v0, v3, v4) = 0 & % 14.52/2.74 | member(v4, v2) = 0 & $i(v4))))) % 14.52/2.74 | % 14.52/2.74 | ALPHA: (equal_maps) implies: % 14.52/2.74 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : % 14.52/2.74 | (v4 = 0 | ~ (equal_maps(v0, v1, v2, v3) = v4) | ~ $i(v3) | ~ $i(v2) % 14.52/2.74 | | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ( % 14.52/2.74 | ~ (v7 = v6) & apply(v1, v5, v7) = 0 & apply(v0, v5, v6) = 0 & % 14.52/2.74 | member(v7, v3) = 0 & member(v6, v3) = 0 & member(v5, v2) = 0 & % 14.52/2.74 | $i(v7) & $i(v6) & $i(v5))) % 14.52/2.74 | % 14.52/2.74 | ALPHA: (function-axioms) implies: % 14.52/2.74 | (3) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 14.52/2.74 | ! [v3: $i] : (v1 = v0 | ~ (member(v3, v2) = v1) | ~ (member(v3, v2) % 14.52/2.74 | = v0)) % 14.52/2.74 | % 14.52/2.74 | DELTA: instantiating (thII11) with fresh symbols all_32_0, all_32_1, all_32_2, % 14.52/2.74 | all_32_3, all_32_4, all_32_5 gives: % 14.52/2.75 | (4) ~ (all_32_0 = 0) & inverse_function(all_32_2, all_32_3, all_32_4) = % 14.52/2.75 | all_32_1 & inverse_function(all_32_5, all_32_4, all_32_3) = all_32_2 & % 14.52/2.75 | one_to_one(all_32_5, all_32_4, all_32_3) = 0 & equal_maps(all_32_1, % 14.52/2.75 | all_32_5, all_32_4, all_32_3) = all_32_0 & maps(all_32_5, all_32_4, % 14.52/2.75 | all_32_3) = 0 & $i(all_32_1) & $i(all_32_2) & $i(all_32_3) & % 14.52/2.75 | $i(all_32_4) & $i(all_32_5) % 14.52/2.75 | % 14.52/2.75 | ALPHA: (4) implies: % 14.52/2.75 | (5) ~ (all_32_0 = 0) % 14.52/2.75 | (6) $i(all_32_5) % 14.52/2.75 | (7) $i(all_32_4) % 14.52/2.75 | (8) $i(all_32_3) % 14.52/2.75 | (9) $i(all_32_2) % 14.52/2.75 | (10) $i(all_32_1) % 14.52/2.75 | (11) maps(all_32_5, all_32_4, all_32_3) = 0 % 14.52/2.75 | (12) equal_maps(all_32_1, all_32_5, all_32_4, all_32_3) = all_32_0 % 14.52/2.75 | (13) inverse_function(all_32_5, all_32_4, all_32_3) = all_32_2 % 14.52/2.75 | (14) inverse_function(all_32_2, all_32_3, all_32_4) = all_32_1 % 14.52/2.75 | % 14.52/2.75 | GROUND_INST: instantiating (1) with all_32_5, all_32_4, all_32_3, simplifying % 14.52/2.75 | with (6), (7), (8), (11) gives: % 14.52/2.75 | (15) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~ % 14.52/2.75 | (apply(all_32_5, v0, v2) = 0) | ~ (apply(all_32_5, v0, v1) = 0) | % 14.52/2.75 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? % 14.52/2.75 | [v5: any] : (member(v2, all_32_3) = v5 & member(v1, all_32_3) = v4 & % 14.52/2.75 | member(v0, all_32_4) = v3 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = % 14.52/2.75 | 0)))) & ! [v0: $i] : ( ~ (member(v0, all_32_4) = 0) | ~ % 14.52/2.75 | $i(v0) | ? [v1: $i] : (apply(all_32_5, v0, v1) = 0 & member(v1, % 14.52/2.75 | all_32_3) = 0 & $i(v1))) % 14.52/2.75 | % 14.52/2.75 | ALPHA: (15) implies: % 14.52/2.75 | (16) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~ % 14.52/2.75 | (apply(all_32_5, v0, v2) = 0) | ~ (apply(all_32_5, v0, v1) = 0) | % 14.52/2.75 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? % 14.52/2.75 | [v5: any] : (member(v2, all_32_3) = v5 & member(v1, all_32_3) = v4 & % 14.52/2.75 | member(v0, all_32_4) = v3 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = % 14.52/2.75 | 0)))) % 14.52/2.75 | % 14.52/2.75 | GROUND_INST: instantiating (2) with all_32_1, all_32_5, all_32_4, all_32_3, % 14.52/2.75 | all_32_0, simplifying with (6), (7), (8), (10), (12) gives: % 14.52/2.75 | (17) all_32_0 = 0 | ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ( ~ (v2 = v1) % 14.52/2.75 | & apply(all_32_1, v0, v1) = 0 & apply(all_32_5, v0, v2) = 0 & % 14.52/2.75 | member(v2, all_32_3) = 0 & member(v1, all_32_3) = 0 & member(v0, % 14.52/2.75 | all_32_4) = 0 & $i(v2) & $i(v1) & $i(v0)) % 14.52/2.75 | % 14.52/2.75 | BETA: splitting (17) gives: % 14.52/2.75 | % 14.52/2.75 | Case 1: % 14.52/2.75 | | % 14.52/2.75 | | (18) all_32_0 = 0 % 14.52/2.75 | | % 14.52/2.75 | | REDUCE: (5), (18) imply: % 14.52/2.75 | | (19) $false % 14.52/2.75 | | % 14.52/2.75 | | CLOSE: (19) is inconsistent. % 14.52/2.75 | | % 14.52/2.75 | Case 2: % 14.52/2.75 | | % 14.52/2.75 | | (20) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ( ~ (v2 = v1) & % 14.52/2.75 | | apply(all_32_1, v0, v1) = 0 & apply(all_32_5, v0, v2) = 0 & % 14.52/2.75 | | member(v2, all_32_3) = 0 & member(v1, all_32_3) = 0 & member(v0, % 14.52/2.75 | | all_32_4) = 0 & $i(v2) & $i(v1) & $i(v0)) % 14.52/2.76 | | % 14.52/2.76 | | DELTA: instantiating (20) with fresh symbols all_44_0, all_44_1, all_44_2 % 14.52/2.76 | | gives: % 14.52/2.76 | | (21) ~ (all_44_0 = all_44_1) & apply(all_32_1, all_44_2, all_44_1) = 0 & % 14.52/2.76 | | apply(all_32_5, all_44_2, all_44_0) = 0 & member(all_44_0, all_32_3) % 14.52/2.76 | | = 0 & member(all_44_1, all_32_3) = 0 & member(all_44_2, all_32_4) = % 14.52/2.76 | | 0 & $i(all_44_0) & $i(all_44_1) & $i(all_44_2) % 14.52/2.76 | | % 14.52/2.76 | | ALPHA: (21) implies: % 14.52/2.76 | | (22) ~ (all_44_0 = all_44_1) % 14.52/2.76 | | (23) $i(all_44_2) % 14.52/2.76 | | (24) $i(all_44_1) % 14.52/2.76 | | (25) $i(all_44_0) % 14.52/2.76 | | (26) member(all_44_2, all_32_4) = 0 % 14.52/2.76 | | (27) member(all_44_1, all_32_3) = 0 % 14.52/2.76 | | (28) member(all_44_0, all_32_3) = 0 % 14.52/2.76 | | (29) apply(all_32_5, all_44_2, all_44_0) = 0 % 14.52/2.76 | | (30) apply(all_32_1, all_44_2, all_44_1) = 0 % 14.52/2.76 | | % 14.52/2.76 | | GROUND_INST: instantiating (inverse_function) with all_32_2, all_32_3, % 14.52/2.76 | | all_32_4, all_44_1, all_44_2, all_32_1, 0, simplifying with % 14.52/2.76 | | (7), (8), (9), (14), (23), (24), (30) gives: % 14.52/2.76 | | (31) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_32_2, % 14.52/2.76 | | all_44_1, all_44_2) = v2 & member(all_44_1, all_32_3) = v0 & % 14.52/2.76 | | member(all_44_2, all_32_4) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 % 14.52/2.76 | | = 0)) % 14.52/2.76 | | % 14.52/2.76 | | DELTA: instantiating (31) with fresh symbols all_53_0, all_53_1, all_53_2 % 14.52/2.76 | | gives: % 14.52/2.76 | | (32) apply(all_32_2, all_44_1, all_44_2) = all_53_0 & member(all_44_1, % 14.52/2.76 | | all_32_3) = all_53_2 & member(all_44_2, all_32_4) = all_53_1 & ( ~ % 14.52/2.76 | | (all_53_1 = 0) | ~ (all_53_2 = 0) | all_53_0 = 0) % 14.52/2.76 | | % 14.52/2.76 | | ALPHA: (32) implies: % 14.52/2.76 | | (33) member(all_44_2, all_32_4) = all_53_1 % 14.52/2.76 | | (34) member(all_44_1, all_32_3) = all_53_2 % 14.52/2.76 | | (35) apply(all_32_2, all_44_1, all_44_2) = all_53_0 % 14.52/2.76 | | (36) ~ (all_53_1 = 0) | ~ (all_53_2 = 0) | all_53_0 = 0 % 14.52/2.76 | | % 14.52/2.76 | | GROUND_INST: instantiating (3) with 0, all_53_1, all_32_4, all_44_2, % 14.52/2.76 | | simplifying with (26), (33) gives: % 14.52/2.76 | | (37) all_53_1 = 0 % 14.52/2.76 | | % 14.52/2.76 | | GROUND_INST: instantiating (3) with 0, all_53_2, all_32_3, all_44_1, % 14.52/2.76 | | simplifying with (27), (34) gives: % 14.52/2.76 | | (38) all_53_2 = 0 % 14.52/2.76 | | % 14.52/2.76 | | BETA: splitting (36) gives: % 14.52/2.76 | | % 14.52/2.76 | | Case 1: % 14.52/2.76 | | | % 14.52/2.76 | | | (39) ~ (all_53_1 = 0) % 14.52/2.76 | | | % 14.52/2.76 | | | REDUCE: (37), (39) imply: % 14.52/2.76 | | | (40) $false % 14.52/2.76 | | | % 14.52/2.76 | | | CLOSE: (40) is inconsistent. % 14.52/2.76 | | | % 14.52/2.76 | | Case 2: % 14.52/2.76 | | | % 14.52/2.76 | | | (41) ~ (all_53_2 = 0) | all_53_0 = 0 % 14.52/2.76 | | | % 14.52/2.76 | | | BETA: splitting (41) gives: % 14.52/2.76 | | | % 14.52/2.76 | | | Case 1: % 14.52/2.76 | | | | % 14.52/2.76 | | | | (42) ~ (all_53_2 = 0) % 14.52/2.76 | | | | % 14.52/2.76 | | | | REDUCE: (38), (42) imply: % 14.52/2.76 | | | | (43) $false % 14.52/2.76 | | | | % 14.52/2.76 | | | | CLOSE: (43) is inconsistent. % 14.52/2.76 | | | | % 14.52/2.76 | | | Case 2: % 14.52/2.76 | | | | % 14.52/2.76 | | | | (44) all_53_0 = 0 % 14.52/2.76 | | | | % 14.52/2.76 | | | | REDUCE: (35), (44) imply: % 14.52/2.76 | | | | (45) apply(all_32_2, all_44_1, all_44_2) = 0 % 14.52/2.76 | | | | % 14.52/2.76 | | | | GROUND_INST: instantiating (inverse_function) with all_32_5, all_32_4, % 14.52/2.76 | | | | all_32_3, all_44_2, all_44_1, all_32_2, 0, simplifying with % 14.52/2.76 | | | | (6), (7), (8), (13), (23), (24), (45) gives: % 14.52/2.76 | | | | (46) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_32_5, % 14.52/2.76 | | | | all_44_2, all_44_1) = v2 & member(all_44_1, all_32_3) = v1 & % 14.52/2.76 | | | | member(all_44_2, all_32_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | % 14.52/2.76 | | | | v2 = 0)) % 14.52/2.76 | | | | % 14.52/2.76 | | | | DELTA: instantiating (46) with fresh symbols all_72_0, all_72_1, % 14.52/2.76 | | | | all_72_2 gives: % 14.52/2.77 | | | | (47) apply(all_32_5, all_44_2, all_44_1) = all_72_0 & % 14.52/2.77 | | | | member(all_44_1, all_32_3) = all_72_1 & member(all_44_2, % 14.52/2.77 | | | | all_32_4) = all_72_2 & ( ~ (all_72_1 = 0) | ~ (all_72_2 = 0) % 14.52/2.77 | | | | | all_72_0 = 0) % 14.52/2.77 | | | | % 14.52/2.77 | | | | ALPHA: (47) implies: % 14.52/2.77 | | | | (48) member(all_44_2, all_32_4) = all_72_2 % 14.52/2.77 | | | | (49) member(all_44_1, all_32_3) = all_72_1 % 14.52/2.77 | | | | (50) apply(all_32_5, all_44_2, all_44_1) = all_72_0 % 14.52/2.77 | | | | (51) ~ (all_72_1 = 0) | ~ (all_72_2 = 0) | all_72_0 = 0 % 14.52/2.77 | | | | % 14.52/2.77 | | | | GROUND_INST: instantiating (3) with 0, all_72_2, all_32_4, all_44_2, % 14.52/2.77 | | | | simplifying with (26), (48) gives: % 14.52/2.77 | | | | (52) all_72_2 = 0 % 14.52/2.77 | | | | % 14.52/2.77 | | | | GROUND_INST: instantiating (3) with 0, all_72_1, all_32_3, all_44_1, % 14.52/2.77 | | | | simplifying with (27), (49) gives: % 14.52/2.77 | | | | (53) all_72_1 = 0 % 14.52/2.77 | | | | % 14.52/2.77 | | | | BETA: splitting (51) gives: % 14.52/2.77 | | | | % 14.52/2.77 | | | | Case 1: % 14.52/2.77 | | | | | % 14.52/2.77 | | | | | (54) ~ (all_72_1 = 0) % 14.52/2.77 | | | | | % 14.52/2.77 | | | | | REDUCE: (53), (54) imply: % 14.77/2.77 | | | | | (55) $false % 14.77/2.77 | | | | | % 14.77/2.77 | | | | | CLOSE: (55) is inconsistent. % 14.77/2.77 | | | | | % 14.77/2.77 | | | | Case 2: % 14.77/2.77 | | | | | % 14.77/2.77 | | | | | (56) ~ (all_72_2 = 0) | all_72_0 = 0 % 14.77/2.77 | | | | | % 14.77/2.77 | | | | | BETA: splitting (56) gives: % 14.77/2.77 | | | | | % 14.77/2.77 | | | | | Case 1: % 14.77/2.77 | | | | | | % 14.77/2.77 | | | | | | (57) ~ (all_72_2 = 0) % 14.77/2.77 | | | | | | % 14.77/2.77 | | | | | | REDUCE: (52), (57) imply: % 14.77/2.77 | | | | | | (58) $false % 14.77/2.77 | | | | | | % 14.77/2.77 | | | | | | CLOSE: (58) is inconsistent. % 14.77/2.77 | | | | | | % 14.77/2.77 | | | | | Case 2: % 14.77/2.77 | | | | | | % 14.77/2.77 | | | | | | (59) all_72_0 = 0 % 14.77/2.77 | | | | | | % 14.77/2.77 | | | | | | REDUCE: (50), (59) imply: % 14.77/2.77 | | | | | | (60) apply(all_32_5, all_44_2, all_44_1) = 0 % 14.77/2.77 | | | | | | % 14.77/2.77 | | | | | | GROUND_INST: instantiating (16) with all_44_2, all_44_1, all_44_0, % 14.77/2.77 | | | | | | simplifying with (23), (24), (25), (29), (60) gives: % 14.77/2.77 | | | | | | (61) all_44_0 = all_44_1 | ? [v0: any] : ? [v1: any] : ? [v2: % 14.77/2.77 | | | | | | any] : (member(all_44_0, all_32_3) = v2 & member(all_44_1, % 14.77/2.77 | | | | | | all_32_3) = v1 & member(all_44_2, all_32_4) = v0 & ( ~ % 14.77/2.77 | | | | | | (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 14.77/2.77 | | | | | | % 14.77/2.77 | | | | | | BETA: splitting (61) gives: % 14.77/2.77 | | | | | | % 14.77/2.77 | | | | | | Case 1: % 14.77/2.77 | | | | | | | % 14.77/2.77 | | | | | | | (62) all_44_0 = all_44_1 % 14.77/2.77 | | | | | | | % 14.77/2.77 | | | | | | | REDUCE: (22), (62) imply: % 14.77/2.77 | | | | | | | (63) $false % 14.77/2.77 | | | | | | | % 14.77/2.77 | | | | | | | CLOSE: (63) is inconsistent. % 14.77/2.77 | | | | | | | % 14.77/2.77 | | | | | | Case 2: % 14.77/2.77 | | | | | | | % 14.77/2.77 | | | | | | | (64) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 14.77/2.77 | | | | | | | (member(all_44_0, all_32_3) = v2 & member(all_44_1, % 14.77/2.77 | | | | | | | all_32_3) = v1 & member(all_44_2, all_32_4) = v0 & ( ~ % 14.77/2.77 | | | | | | | (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 14.77/2.77 | | | | | | | % 14.77/2.77 | | | | | | | DELTA: instantiating (64) with fresh symbols all_97_0, all_97_1, % 14.77/2.77 | | | | | | | all_97_2 gives: % 14.77/2.77 | | | | | | | (65) member(all_44_0, all_32_3) = all_97_0 & member(all_44_1, % 14.77/2.77 | | | | | | | all_32_3) = all_97_1 & member(all_44_2, all_32_4) = % 14.77/2.77 | | | | | | | all_97_2 & ( ~ (all_97_0 = 0) | ~ (all_97_1 = 0) | ~ % 14.77/2.77 | | | | | | | (all_97_2 = 0)) % 14.77/2.77 | | | | | | | % 14.77/2.77 | | | | | | | ALPHA: (65) implies: % 14.77/2.77 | | | | | | | (66) member(all_44_2, all_32_4) = all_97_2 % 14.77/2.77 | | | | | | | (67) member(all_44_1, all_32_3) = all_97_1 % 14.77/2.77 | | | | | | | (68) member(all_44_0, all_32_3) = all_97_0 % 14.77/2.77 | | | | | | | (69) ~ (all_97_0 = 0) | ~ (all_97_1 = 0) | ~ (all_97_2 = 0) % 14.77/2.77 | | | | | | | % 14.77/2.77 | | | | | | | GROUND_INST: instantiating (3) with 0, all_97_2, all_32_4, % 14.77/2.77 | | | | | | | all_44_2, simplifying with (26), (66) gives: % 14.77/2.77 | | | | | | | (70) all_97_2 = 0 % 14.77/2.77 | | | | | | | % 14.77/2.77 | | | | | | | GROUND_INST: instantiating (3) with 0, all_97_1, all_32_3, % 14.77/2.77 | | | | | | | all_44_1, simplifying with (27), (67) gives: % 14.77/2.77 | | | | | | | (71) all_97_1 = 0 % 14.77/2.77 | | | | | | | % 14.77/2.77 | | | | | | | GROUND_INST: instantiating (3) with 0, all_97_0, all_32_3, % 14.77/2.77 | | | | | | | all_44_0, simplifying with (28), (68) gives: % 14.77/2.77 | | | | | | | (72) all_97_0 = 0 % 14.77/2.77 | | | | | | | % 14.77/2.77 | | | | | | | BETA: splitting (69) gives: % 14.77/2.77 | | | | | | | % 14.77/2.77 | | | | | | | Case 1: % 14.77/2.77 | | | | | | | | % 14.77/2.77 | | | | | | | | (73) ~ (all_97_0 = 0) % 14.77/2.77 | | | | | | | | % 14.77/2.77 | | | | | | | | REDUCE: (72), (73) imply: % 14.77/2.77 | | | | | | | | (74) $false % 14.77/2.77 | | | | | | | | % 14.77/2.77 | | | | | | | | CLOSE: (74) is inconsistent. % 14.77/2.77 | | | | | | | | % 14.77/2.77 | | | | | | | Case 2: % 14.77/2.77 | | | | | | | | % 14.77/2.78 | | | | | | | | (75) ~ (all_97_1 = 0) | ~ (all_97_2 = 0) % 14.77/2.78 | | | | | | | | % 14.77/2.78 | | | | | | | | BETA: splitting (75) gives: % 14.77/2.78 | | | | | | | | % 14.77/2.78 | | | | | | | | Case 1: % 14.77/2.78 | | | | | | | | | % 14.77/2.78 | | | | | | | | | (76) ~ (all_97_1 = 0) % 14.77/2.78 | | | | | | | | | % 14.77/2.78 | | | | | | | | | REDUCE: (71), (76) imply: % 14.77/2.78 | | | | | | | | | (77) $false % 14.77/2.78 | | | | | | | | | % 14.77/2.78 | | | | | | | | | CLOSE: (77) is inconsistent. % 14.77/2.78 | | | | | | | | | % 14.77/2.78 | | | | | | | | Case 2: % 14.77/2.78 | | | | | | | | | % 14.77/2.78 | | | | | | | | | (78) ~ (all_97_2 = 0) % 14.77/2.78 | | | | | | | | | % 14.77/2.78 | | | | | | | | | REDUCE: (70), (78) imply: % 14.77/2.78 | | | | | | | | | (79) $false % 14.77/2.78 | | | | | | | | | % 14.77/2.78 | | | | | | | | | CLOSE: (79) is inconsistent. % 14.77/2.78 | | | | | | | | | % 14.77/2.78 | | | | | | | | End of split % 14.77/2.78 | | | | | | | | % 14.77/2.78 | | | | | | | End of split % 14.77/2.78 | | | | | | | % 14.77/2.78 | | | | | | End of split % 14.77/2.78 | | | | | | % 14.77/2.78 | | | | | End of split % 14.77/2.78 | | | | | % 14.77/2.78 | | | | End of split % 14.77/2.78 | | | | % 14.77/2.78 | | | End of split % 14.77/2.78 | | | % 14.77/2.78 | | End of split % 14.77/2.78 | | % 14.77/2.78 | End of split % 14.77/2.78 | % 14.77/2.78 End of proof % 14.77/2.78 % SZS output end Proof for theBenchmark % 14.77/2.78 % 14.77/2.78 2180ms %------------------------------------------------------------------------------