%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : CSR052+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 : n015.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Aug 30 21:36:52 EDT 2023 % Result : Theorem 10.40s 2.25s % Output : Proof 14.79s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CSR052+1 : TPTP v8.1.2. Released v3.4.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.12/0.34 % Computer : n015.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Mon Aug 28 11:01:40 EDT 2023 % 0.12/0.34 % CPUTime : % 0.20/0.61 ________ _____ % 0.20/0.61 ___ __ \_________(_)________________________________ % 0.20/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.61 % 0.20/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.61 (2023-06-19) % 0.20/0.61 % 0.20/0.61 (c) Philipp Rümmer, 2009-2023 % 0.20/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.61 Amanda Stjerna. % 0.20/0.61 Free software under BSD-3-Clause. % 0.20/0.61 % 0.20/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.61 % 0.20/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.20/0.62 Running up to 7 provers in parallel. % 0.20/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.20/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.08/1.16 Prover 1: Preprocessing ... % 3.08/1.16 Prover 4: Preprocessing ... % 3.76/1.19 Prover 5: Preprocessing ... % 3.76/1.19 Prover 3: Preprocessing ... % 3.76/1.19 Prover 2: Preprocessing ... % 3.76/1.19 Prover 6: Preprocessing ... % 3.76/1.19 Prover 0: Preprocessing ... % 6.87/1.65 Prover 2: Proving ... % 6.87/1.65 Prover 5: Proving ... % 8.25/1.82 Prover 6: Constructing countermodel ... % 8.25/1.85 Prover 3: Constructing countermodel ... % 9.00/1.90 Prover 1: Constructing countermodel ... % 9.74/2.01 Prover 0: Proving ... % 9.74/2.09 Prover 4: Constructing countermodel ... % 10.40/2.25 Prover 3: proved (1612ms) % 10.40/2.25 % 10.40/2.25 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 10.40/2.25 % 10.40/2.25 Prover 6: stopped % 10.40/2.25 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 10.40/2.25 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 10.40/2.26 Prover 2: stopped % 10.40/2.26 Prover 0: stopped % 10.40/2.27 Prover 5: stopped % 10.40/2.28 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 10.40/2.28 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 10.40/2.28 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 11.99/2.33 Prover 8: Preprocessing ... % 11.99/2.36 Prover 7: Preprocessing ... % 11.99/2.36 Prover 10: Preprocessing ... % 11.99/2.39 Prover 11: Preprocessing ... % 12.69/2.43 Prover 13: Preprocessing ... % 13.34/2.49 Prover 10: Constructing countermodel ... % 13.34/2.51 Prover 7: Constructing countermodel ... % 13.34/2.57 Prover 13: Warning: ignoring some quantifiers % 14.08/2.59 Prover 13: Constructing countermodel ... % 14.15/2.60 Prover 8: Warning: ignoring some quantifiers % 14.26/2.62 Prover 8: Constructing countermodel ... % 14.26/2.64 Prover 1: Found proof (size 40) % 14.26/2.64 Prover 1: proved (2005ms) % 14.26/2.64 Prover 10: stopped % 14.26/2.64 Prover 7: stopped % 14.26/2.64 Prover 4: stopped % 14.26/2.64 Prover 13: stopped % 14.26/2.64 Prover 8: stopped % 14.79/2.71 Prover 11: Constructing countermodel ... % 14.79/2.74 Prover 11: stopped % 14.79/2.74 % 14.79/2.74 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 14.79/2.74 % 14.79/2.74 % SZS output start Proof for theBenchmark % 14.79/2.75 Assumptions after simplification: % 14.79/2.75 --------------------------------- % 14.79/2.75 % 14.79/2.75 (just10) % 14.79/2.77 genls(c_tptpcol_9_40196, c_tptpcol_8_39940) = 0 & $i(c_tptpcol_9_40196) & % 14.79/2.77 $i(c_tptpcol_8_39940) % 14.79/2.77 % 14.79/2.77 (just12) % 14.79/2.77 genls(c_tptpcol_10_40324, c_tptpcol_9_40196) = 0 & $i(c_tptpcol_10_40324) & % 14.79/2.77 $i(c_tptpcol_9_40196) % 14.79/2.77 % 14.79/2.77 (just14) % 14.79/2.77 genls(c_tptpcol_11_40388, c_tptpcol_10_40324) = 0 & $i(c_tptpcol_11_40388) & % 14.79/2.77 $i(c_tptpcol_10_40324) % 14.79/2.77 % 14.79/2.77 (just16) % 14.79/2.77 genls(c_tptpcol_12_40420, c_tptpcol_11_40388) = 0 & $i(c_tptpcol_12_40420) & % 14.79/2.77 $i(c_tptpcol_11_40388) % 14.79/2.77 % 14.79/2.77 (just18) % 14.79/2.77 genls(c_tptpcol_13_40421, c_tptpcol_12_40420) = 0 & $i(c_tptpcol_13_40421) & % 14.79/2.77 $i(c_tptpcol_12_40420) % 14.79/2.77 % 14.79/2.77 (just20) % 14.79/2.77 genls(c_tptpcol_14_40429, c_tptpcol_13_40421) = 0 & $i(c_tptpcol_14_40429) & % 14.79/2.77 $i(c_tptpcol_13_40421) % 14.79/2.77 % 14.79/2.77 (just22) % 14.79/2.77 genls(c_tptpcol_15_40430, c_tptpcol_14_40429) = 0 & $i(c_tptpcol_15_40430) & % 14.79/2.77 $i(c_tptpcol_14_40429) % 14.79/2.77 % 14.79/2.77 (just45) % 14.79/2.78 $i(c_tptpcol_14_40429) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (isa(v0, % 14.79/2.78 c_tptpcol_14_40429) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & % 14.79/2.78 tptpcol_14_40429(v0) = v2)) % 14.79/2.78 % 14.79/2.78 (just47) % 14.79/2.78 $i(c_tptpcol_13_40421) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (isa(v0, % 14.79/2.78 c_tptpcol_13_40421) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & % 14.79/2.78 tptpcol_13_40421(v0) = v2)) % 14.79/2.78 % 14.79/2.78 (just49) % 14.79/2.78 $i(c_tptpcol_12_40420) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (isa(v0, % 14.79/2.78 c_tptpcol_12_40420) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & % 14.79/2.78 tptpcol_12_40420(v0) = v2)) % 14.79/2.78 % 14.79/2.78 (just51) % 14.79/2.78 $i(c_tptpcol_11_40388) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (isa(v0, % 14.79/2.78 c_tptpcol_11_40388) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & % 14.79/2.78 tptpcol_11_40388(v0) = v2)) % 14.79/2.78 % 14.79/2.78 (just53) % 14.79/2.78 $i(c_tptpcol_10_40324) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (isa(v0, % 14.79/2.78 c_tptpcol_10_40324) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & % 14.79/2.78 tptpcol_10_40324(v0) = v2)) % 14.79/2.78 % 14.79/2.78 (just55) % 14.79/2.78 $i(c_tptpcol_9_40196) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (isa(v0, % 14.79/2.78 c_tptpcol_9_40196) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & % 14.79/2.78 tptpcol_9_40196(v0) = v2)) % 14.79/2.78 % 14.79/2.78 (just59) % 14.79/2.79 $i(c_tptpcol_8_39940) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (isa(v0, % 14.79/2.79 c_tptpcol_8_39940) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & % 14.79/2.79 tptpcol_8_39940(v0) = v2)) % 14.79/2.79 % 14.79/2.79 (just8) % 14.79/2.79 genls(c_tptpcol_8_39940, c_tptpcol_7_39939) = 0 & $i(c_tptpcol_7_39939) & % 14.79/2.79 $i(c_tptpcol_8_39940) % 14.79/2.79 % 14.79/2.79 (just85) % 14.79/2.79 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 14.79/2.79 (genls(v0, v2) = v3) | ~ (genls(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ % 14.79/2.79 $i(v0) | ? [v4: int] : ( ~ (v4 = 0) & genls(v1, v2) = v4)) % 14.79/2.79 % 14.79/2.79 (just88) % 14.79/2.79 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (genls(v2, v0) = 0) | ~ % 14.79/2.79 (genls(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | genls(v2, v1) = 0) % 14.79/2.79 % 14.79/2.79 (just89) % 14.79/2.79 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 14.79/2.79 (genls(v0, v2) = v3) | ~ (genls(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ % 14.79/2.79 $i(v0) | ? [v4: int] : ( ~ (v4 = 0) & genls(v1, v2) = v4)) % 14.79/2.79 % 14.79/2.79 (query52) % 14.79/2.79 $i(c_tptpcol_15_40430) & $i(c_tptpcol_7_39939) & $i(c_translation_33) & % 14.79/2.79 $i(s_http_ukencartamsncomencyclopedia_761573010_4united_states_of_americahtml) % 14.79/2.79 & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: int] : ( ~ (v3 = 0) & % 14.79/2.79 mtvisible(v2) = 0 & genls(c_tptpcol_15_40430, c_tptpcol_7_39939) = v3 & % 14.79/2.79 f_urlfn(s_http_ukencartamsncomencyclopedia_761573010_4united_states_of_americahtml) % 14.79/2.79 = v0 & f_urlreferentfn(v0) = v1 & f_contentmtofcdafromeventfn(v1, % 14.79/2.79 c_translation_33) = v2 & $i(v2) & $i(v1) & $i(v0)) % 14.79/2.79 % 14.79/2.79 (function-axioms) % 14.79/2.81 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 14.79/2.81 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (natargument(v4, v3, v2) = v1) | ~ % 14.79/2.81 (natargument(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 14.79/2.81 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 14.79/2.81 (natfunction(v3, v2) = v1) | ~ (natfunction(v3, v2) = v0)) & ! [v0: % 14.79/2.81 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 14.79/2.81 : (v1 = v0 | ~ (genlinverse(v3, v2) = v1) | ~ (genlinverse(v3, v2) = v0)) & % 14.79/2.81 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 14.79/2.81 $i] : (v1 = v0 | ~ (genlpreds(v3, v2) = v1) | ~ (genlpreds(v3, v2) = v0)) % 14.79/2.81 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 14.79/2.81 [v3: $i] : (v1 = v0 | ~ (disjointwith(v3, v2) = v1) | ~ (disjointwith(v3, % 14.79/2.81 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 14.79/2.81 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (isa(v3, v2) = v1) | ~ (isa(v3, v2) % 14.79/2.81 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 14.79/2.81 $i] : ! [v3: $i] : (v1 = v0 | ~ (genls(v3, v2) = v1) | ~ (genls(v3, v2) = % 14.79/2.81 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | % 14.79/2.81 ~ (f_contentmtofcdafromeventfn(v3, v2) = v1) | ~ % 14.79/2.81 (f_contentmtofcdafromeventfn(v3, v2) = v0)) & ! [v0: MultipleValueBool] : % 14.79/2.81 ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 14.79/2.81 (genlmt(v3, v2) = v1) | ~ (genlmt(v3, v2) = v0)) & ! [v0: % 14.79/2.81 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 14.79/2.81 ~ (thing(v2) = v1) | ~ (thing(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 14.79/2.81 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (mtvisible(v2) = v1) | % 14.79/2.81 ~ (mtvisible(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 14.79/2.81 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (microtheory(v2) = v1) | ~ % 14.79/2.81 (microtheory(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 14.79/2.81 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (computerdataartifact(v2) = % 14.79/2.81 v1) | ~ (computerdataartifact(v2) = v0)) & ! [v0: MultipleValueBool] : % 14.79/2.81 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ % 14.79/2.81 (uniformresourcelocator(v2) = v1) | ~ (uniformresourcelocator(v2) = v0)) & % 14.79/2.81 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = % 14.79/2.81 v0 | ~ (collection(v2) = v1) | ~ (collection(v2) = v0)) & ! [v0: % 14.79/2.81 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 14.79/2.81 ~ (binarypredicate(v2) = v1) | ~ (binarypredicate(v2) = v0)) & ! [v0: % 14.79/2.81 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 14.79/2.81 ~ (predicate(v2) = v1) | ~ (predicate(v2) = v0)) & ! [v0: % 14.79/2.81 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 14.79/2.81 ~ (tptpcol_15_40430(v2) = v1) | ~ (tptpcol_15_40430(v2) = v0)) & ! [v0: % 14.79/2.81 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 14.79/2.81 ~ (tptpcol_14_40429(v2) = v1) | ~ (tptpcol_14_40429(v2) = v0)) & ! [v0: % 14.79/2.81 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 14.79/2.81 ~ (tptpcol_13_40421(v2) = v1) | ~ (tptpcol_13_40421(v2) = v0)) & ! [v0: % 14.79/2.81 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 14.79/2.81 ~ (tptpcol_12_40420(v2) = v1) | ~ (tptpcol_12_40420(v2) = v0)) & ! [v0: % 14.79/2.81 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 14.79/2.81 ~ (tptpcol_11_40388(v2) = v1) | ~ (tptpcol_11_40388(v2) = v0)) & ! [v0: % 14.79/2.81 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 14.79/2.81 ~ (tptpcol_10_40324(v2) = v1) | ~ (tptpcol_10_40324(v2) = v0)) & ! [v0: % 14.79/2.81 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 14.79/2.81 ~ (tptpcol_9_40196(v2) = v1) | ~ (tptpcol_9_40196(v2) = v0)) & ! [v0: % 14.79/2.81 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 14.79/2.81 ~ (tptpcol_7_39939(v2) = v1) | ~ (tptpcol_7_39939(v2) = v0)) & ! [v0: % 14.79/2.81 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 14.79/2.81 ~ (tptpcol_8_39940(v2) = v1) | ~ (tptpcol_8_39940(v2) = v0)) & ! [v0: $i] % 14.79/2.81 : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (f_urlfn(v2) = v1) | ~ % 14.79/2.81 (f_urlfn(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | % 14.79/2.81 ~ (f_urlreferentfn(v2) = v1) | ~ (f_urlreferentfn(v2) = v0)) & ! [v0: % 14.79/2.81 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 14.79/2.81 ~ (transitivebinarypredicate(v2) = v1) | ~ (transitivebinarypredicate(v2) = % 14.79/2.81 v0)) % 14.79/2.81 % 14.79/2.81 Further assumptions not needed in the proof: % 14.79/2.81 -------------------------------------------- % 14.79/2.81 just1, just11, just13, just15, just17, just19, just2, just21, just23, just24, % 14.79/2.81 just25, just26, just27, just28, just29, just3, just30, just31, just32, just33, % 14.79/2.81 just34, just35, just36, just37, just38, just39, just4, just40, just41, just42, % 14.79/2.81 just43, just44, just46, just48, just5, just50, just52, just54, just56, just57, % 14.79/2.81 just58, just6, just60, just61, just62, just63, just64, just65, just66, just67, % 14.79/2.81 just68, just69, just7, just70, just71, just72, just73, just74, just75, just76, % 14.79/2.81 just77, just78, just79, just80, just81, just82, just83, just84, just86, just87, % 14.79/2.81 just9, just90, just91, just92, just93, just94, just95 % 14.79/2.81 % 14.79/2.81 Those formulas are unsatisfiable: % 14.79/2.81 --------------------------------- % 14.79/2.81 % 14.79/2.81 Begin of proof % 14.79/2.81 | % 14.79/2.81 | ALPHA: (just8) implies: % 14.79/2.81 | (1) genls(c_tptpcol_8_39940, c_tptpcol_7_39939) = 0 % 14.79/2.81 | % 14.79/2.81 | ALPHA: (just10) implies: % 14.79/2.81 | (2) genls(c_tptpcol_9_40196, c_tptpcol_8_39940) = 0 % 14.79/2.81 | % 14.79/2.81 | ALPHA: (just12) implies: % 14.79/2.81 | (3) genls(c_tptpcol_10_40324, c_tptpcol_9_40196) = 0 % 14.79/2.81 | % 14.79/2.81 | ALPHA: (just14) implies: % 14.79/2.81 | (4) genls(c_tptpcol_11_40388, c_tptpcol_10_40324) = 0 % 14.79/2.81 | % 14.79/2.81 | ALPHA: (just16) implies: % 14.79/2.81 | (5) genls(c_tptpcol_12_40420, c_tptpcol_11_40388) = 0 % 14.79/2.81 | % 14.79/2.81 | ALPHA: (just18) implies: % 14.79/2.81 | (6) genls(c_tptpcol_13_40421, c_tptpcol_12_40420) = 0 % 14.79/2.81 | % 14.79/2.81 | ALPHA: (just20) implies: % 14.79/2.81 | (7) genls(c_tptpcol_14_40429, c_tptpcol_13_40421) = 0 % 14.79/2.81 | % 14.79/2.81 | ALPHA: (just22) implies: % 14.79/2.81 | (8) genls(c_tptpcol_15_40430, c_tptpcol_14_40429) = 0 % 14.79/2.81 | % 14.79/2.81 | ALPHA: (just45) implies: % 14.79/2.81 | (9) $i(c_tptpcol_14_40429) % 14.79/2.81 | % 14.79/2.81 | ALPHA: (just47) implies: % 14.79/2.81 | (10) $i(c_tptpcol_13_40421) % 14.79/2.81 | % 14.79/2.81 | ALPHA: (just49) implies: % 14.79/2.81 | (11) $i(c_tptpcol_12_40420) % 14.79/2.81 | % 14.79/2.81 | ALPHA: (just51) implies: % 14.79/2.81 | (12) $i(c_tptpcol_11_40388) % 14.79/2.81 | % 14.79/2.81 | ALPHA: (just53) implies: % 14.79/2.81 | (13) $i(c_tptpcol_10_40324) % 14.79/2.81 | % 14.79/2.81 | ALPHA: (just55) implies: % 14.79/2.81 | (14) $i(c_tptpcol_9_40196) % 14.79/2.81 | % 14.79/2.81 | ALPHA: (just59) implies: % 14.79/2.81 | (15) $i(c_tptpcol_8_39940) % 14.79/2.81 | % 14.79/2.81 | ALPHA: (query52) implies: % 14.79/2.82 | (16) $i(c_tptpcol_7_39939) % 14.79/2.82 | (17) $i(c_tptpcol_15_40430) % 14.79/2.82 | (18) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: int] : ( ~ (v3 = 0) % 14.79/2.82 | & mtvisible(v2) = 0 & genls(c_tptpcol_15_40430, c_tptpcol_7_39939) = % 14.79/2.82 | v3 & % 14.79/2.82 | f_urlfn(s_http_ukencartamsncomencyclopedia_761573010_4united_states_of_americahtml) % 14.79/2.82 | = v0 & f_urlreferentfn(v0) = v1 & f_contentmtofcdafromeventfn(v1, % 14.79/2.82 | c_translation_33) = v2 & $i(v2) & $i(v1) & $i(v0)) % 14.79/2.82 | % 14.79/2.82 | ALPHA: (function-axioms) implies: % 14.79/2.82 | (19) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 14.79/2.82 | : ! [v3: $i] : (v1 = v0 | ~ (genls(v3, v2) = v1) | ~ (genls(v3, v2) % 14.79/2.82 | = v0)) % 14.79/2.82 | % 14.79/2.82 | DELTA: instantiating (18) with fresh symbols all_84_0, all_84_1, all_84_2, % 14.79/2.82 | all_84_3 gives: % 14.79/2.82 | (20) ~ (all_84_0 = 0) & mtvisible(all_84_1) = 0 & % 14.79/2.82 | genls(c_tptpcol_15_40430, c_tptpcol_7_39939) = all_84_0 & % 14.79/2.82 | f_urlfn(s_http_ukencartamsncomencyclopedia_761573010_4united_states_of_americahtml) % 14.79/2.82 | = all_84_3 & f_urlreferentfn(all_84_3) = all_84_2 & % 14.79/2.82 | f_contentmtofcdafromeventfn(all_84_2, c_translation_33) = all_84_1 & % 14.79/2.82 | $i(all_84_1) & $i(all_84_2) & $i(all_84_3) % 14.79/2.82 | % 14.79/2.82 | ALPHA: (20) implies: % 14.79/2.82 | (21) ~ (all_84_0 = 0) % 14.79/2.82 | (22) genls(c_tptpcol_15_40430, c_tptpcol_7_39939) = all_84_0 % 14.79/2.82 | % 14.79/2.82 | GROUND_INST: instantiating (just88) with c_tptpcol_8_39940, c_tptpcol_7_39939, % 14.79/2.82 | c_tptpcol_9_40196, simplifying with (1), (2), (14), (15), (16) % 14.79/2.82 | gives: % 14.79/2.82 | (23) genls(c_tptpcol_9_40196, c_tptpcol_7_39939) = 0 % 14.79/2.82 | % 14.79/2.82 | GROUND_INST: instantiating (just88) with c_tptpcol_10_40324, % 14.79/2.82 | c_tptpcol_9_40196, c_tptpcol_11_40388, simplifying with (3), (4), % 14.79/2.82 | (12), (13), (14) gives: % 14.79/2.82 | (24) genls(c_tptpcol_11_40388, c_tptpcol_9_40196) = 0 % 14.79/2.82 | % 14.79/2.82 | GROUND_INST: instantiating (just88) with c_tptpcol_12_40420, % 14.79/2.82 | c_tptpcol_11_40388, c_tptpcol_13_40421, simplifying with (5), % 14.79/2.82 | (6), (10), (11), (12) gives: % 14.79/2.82 | (25) genls(c_tptpcol_13_40421, c_tptpcol_11_40388) = 0 % 14.79/2.82 | % 14.79/2.82 | GROUND_INST: instantiating (just89) with c_tptpcol_15_40430, % 14.79/2.82 | c_tptpcol_14_40429, c_tptpcol_7_39939, all_84_0, simplifying with % 14.79/2.82 | (8), (9), (16), (17), (22) gives: % 14.79/2.82 | (26) all_84_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) & genls(c_tptpcol_14_40429, % 14.79/2.82 | c_tptpcol_7_39939) = v0) % 14.79/2.82 | % 14.79/2.82 | GROUND_INST: instantiating (just88) with c_tptpcol_14_40429, % 14.79/2.82 | c_tptpcol_13_40421, c_tptpcol_15_40430, simplifying with (7), % 14.79/2.82 | (8), (9), (10), (17) gives: % 14.79/2.83 | (27) genls(c_tptpcol_15_40430, c_tptpcol_13_40421) = 0 % 14.79/2.83 | % 14.79/2.83 | BETA: splitting (26) gives: % 14.79/2.83 | % 14.79/2.83 | Case 1: % 14.79/2.83 | | % 14.79/2.83 | | (28) all_84_0 = 0 % 14.79/2.83 | | % 14.79/2.83 | | REDUCE: (21), (28) imply: % 14.79/2.83 | | (29) $false % 14.79/2.83 | | % 14.79/2.83 | | CLOSE: (29) is inconsistent. % 14.79/2.83 | | % 14.79/2.83 | Case 2: % 14.79/2.83 | | % 14.79/2.83 | | (30) ? [v0: int] : ( ~ (v0 = 0) & genls(c_tptpcol_14_40429, % 14.79/2.83 | | c_tptpcol_7_39939) = v0) % 14.79/2.83 | | % 14.79/2.83 | | DELTA: instantiating (30) with fresh symbol all_108_0 gives: % 14.79/2.83 | | (31) ~ (all_108_0 = 0) & genls(c_tptpcol_14_40429, c_tptpcol_7_39939) = % 14.79/2.83 | | all_108_0 % 14.79/2.83 | | % 14.79/2.83 | | ALPHA: (31) implies: % 14.79/2.83 | | (32) ~ (all_108_0 = 0) % 14.79/2.83 | | (33) genls(c_tptpcol_14_40429, c_tptpcol_7_39939) = all_108_0 % 14.79/2.83 | | % 14.79/2.83 | | GROUND_INST: instantiating (just88) with c_tptpcol_9_40196, % 14.79/2.83 | | c_tptpcol_7_39939, c_tptpcol_11_40388, simplifying with (12), % 14.79/2.83 | | (14), (16), (23), (24) gives: % 14.79/2.83 | | (34) genls(c_tptpcol_11_40388, c_tptpcol_7_39939) = 0 % 14.79/2.83 | | % 14.79/2.83 | | GROUND_INST: instantiating (just89) with c_tptpcol_14_40429, % 14.79/2.83 | | c_tptpcol_13_40421, c_tptpcol_7_39939, all_108_0, simplifying % 14.79/2.83 | | with (7), (9), (10), (16), (33) gives: % 14.79/2.83 | | (35) all_108_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) & % 14.79/2.83 | | genls(c_tptpcol_13_40421, c_tptpcol_7_39939) = v0) % 14.79/2.83 | | % 14.79/2.83 | | GROUND_INST: instantiating (just88) with c_tptpcol_13_40421, % 14.79/2.83 | | c_tptpcol_11_40388, c_tptpcol_15_40430, simplifying with (10), % 14.79/2.83 | | (12), (17), (25), (27) gives: % 14.79/2.83 | | (36) genls(c_tptpcol_15_40430, c_tptpcol_11_40388) = 0 % 14.79/2.83 | | % 14.79/2.83 | | BETA: splitting (35) gives: % 14.79/2.83 | | % 14.79/2.83 | | Case 1: % 14.79/2.83 | | | % 14.79/2.83 | | | (37) all_108_0 = 0 % 14.79/2.83 | | | % 14.79/2.83 | | | REDUCE: (32), (37) imply: % 14.79/2.83 | | | (38) $false % 14.79/2.83 | | | % 14.79/2.83 | | | CLOSE: (38) is inconsistent. % 14.79/2.83 | | | % 14.79/2.83 | | Case 2: % 14.79/2.83 | | | % 14.79/2.83 | | | % 14.79/2.83 | | | GROUND_INST: instantiating (just88) with c_tptpcol_11_40388, % 14.79/2.83 | | | c_tptpcol_7_39939, c_tptpcol_15_40430, simplifying with (12), % 14.79/2.83 | | | (16), (17), (34), (36) gives: % 14.79/2.83 | | | (39) genls(c_tptpcol_15_40430, c_tptpcol_7_39939) = 0 % 14.79/2.83 | | | % 14.79/2.83 | | | GROUND_INST: instantiating (19) with all_84_0, 0, c_tptpcol_7_39939, % 14.79/2.83 | | | c_tptpcol_15_40430, simplifying with (22), (39) gives: % 14.79/2.83 | | | (40) all_84_0 = 0 % 14.79/2.83 | | | % 14.79/2.83 | | | REDUCE: (21), (40) imply: % 14.79/2.83 | | | (41) $false % 14.79/2.83 | | | % 14.79/2.83 | | | CLOSE: (41) is inconsistent. % 14.79/2.83 | | | % 14.79/2.83 | | End of split % 14.79/2.83 | | % 14.79/2.83 | End of split % 14.79/2.83 | % 14.79/2.83 End of proof % 14.79/2.83 % SZS output end Proof for theBenchmark % 14.79/2.83 % 14.79/2.83 2220ms %------------------------------------------------------------------------------