%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : CSR064+1 : TPTP v8.1.2. Released v3.4.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n005.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Aug 30 21:37:04 EDT 2023 % Result : Theorem 8.56s 1.90s % Output : Proof 12.82s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CSR064+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 : n005.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 07:32:08 EDT 2023 % 0.12/0.34 % CPUTime : % 0.19/0.61 ________ _____ % 0.19/0.61 ___ __ \_________(_)________________________________ % 0.19/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.19/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.19/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.19/0.61 % 0.19/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.19/0.61 (2023-06-19) % 0.19/0.61 % 0.19/0.61 (c) Philipp Rümmer, 2009-2023 % 0.19/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.19/0.61 Amanda Stjerna. % 0.19/0.61 Free software under BSD-3-Clause. % 0.19/0.61 % 0.19/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/0.61 % 0.19/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.19/0.62 Running up to 7 provers in parallel. % 0.19/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.19/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.19/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.19/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.19/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.19/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.19/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.24/1.12 Prover 1: Preprocessing ... % 3.24/1.12 Prover 4: Preprocessing ... % 3.40/1.16 Prover 2: Preprocessing ... % 3.40/1.16 Prover 6: Preprocessing ... % 3.40/1.16 Prover 3: Preprocessing ... % 3.40/1.16 Prover 0: Preprocessing ... % 3.40/1.16 Prover 5: Preprocessing ... % 6.37/1.59 Prover 2: Proving ... % 6.37/1.60 Prover 5: Proving ... % 7.39/1.69 Prover 6: Constructing countermodel ... % 7.39/1.75 Prover 3: Constructing countermodel ... % 8.10/1.77 Prover 1: Constructing countermodel ... % 8.56/1.89 Prover 5: proved (1263ms) % 8.56/1.90 % 8.56/1.90 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 8.56/1.90 % 8.56/1.90 Prover 2: stopped % 8.56/1.90 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 8.56/1.90 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 8.56/1.91 Prover 6: stopped % 8.56/1.93 Prover 3: stopped % 8.56/1.94 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 8.56/1.94 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 8.56/1.96 Prover 0: Proving ... % 8.56/1.96 Prover 0: stopped % 8.56/1.98 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 9.25/1.98 Prover 8: Preprocessing ... % 9.25/1.99 Prover 4: Constructing countermodel ... % 9.25/1.99 Prover 7: Preprocessing ... % 9.25/2.03 Prover 13: Preprocessing ... % 9.25/2.04 Prover 10: Preprocessing ... % 9.25/2.04 Prover 11: Preprocessing ... % 10.17/2.08 Prover 1: gave up % 10.17/2.10 Prover 7: Constructing countermodel ... % 10.17/2.11 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 10.17/2.12 Prover 13: Warning: ignoring some quantifiers % 10.17/2.13 Prover 13: Constructing countermodel ... % 10.93/2.15 Prover 10: Constructing countermodel ... % 10.93/2.18 Prover 16: Preprocessing ... % 11.75/2.25 Prover 8: Warning: ignoring some quantifiers % 11.78/2.28 Prover 4: Found proof (size 22) % 11.78/2.28 Prover 4: proved (1644ms) % 11.78/2.28 Prover 13: Found proof (size 15) % 11.78/2.28 Prover 13: proved (307ms) % 11.78/2.28 Prover 10: stopped % 11.78/2.28 Prover 16: Warning: ignoring some quantifiers % 11.78/2.28 Prover 8: Constructing countermodel ... % 11.78/2.29 Prover 7: stopped % 11.78/2.29 Prover 16: Constructing countermodel ... % 11.78/2.30 Prover 8: stopped % 11.78/2.30 Prover 16: stopped % 12.35/2.37 Prover 11: Constructing countermodel ... % 12.35/2.39 Prover 11: stopped % 12.35/2.39 % 12.35/2.39 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 12.35/2.39 % 12.35/2.39 % SZS output start Proof for theBenchmark % 12.35/2.40 Assumptions after simplification: % 12.35/2.40 --------------------------------- % 12.35/2.40 % 12.35/2.40 (just10) % 12.35/2.42 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (subsetof(v0, v1) = % 12.35/2.42 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) & genls(v0, v1) % 12.35/2.42 = v3)) & ! [v0: $i] : ! [v1: $i] : ( ~ (genls(v0, v1) = 0) | ~ $i(v1) | % 12.35/2.42 ~ $i(v0) | subsetof(v0, v1) = 0) % 12.35/2.42 % 12.35/2.42 (just2) % 12.35/2.42 ! [v0: $i] : ( ~ (setorcollection(v0) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ % 12.35/2.42 (v1 = 0) & individual(v0) = v1)) & ! [v0: $i] : ( ~ (individual(v0) = 0) % 12.35/2.42 | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & setorcollection(v0) = v1)) % 12.35/2.42 % 12.35/2.42 (just3) % 12.35/2.43 $i(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml) & ? [v0: $i] : % 12.35/2.43 ? [v1: $i] : (f_urlfn(v0) = v1 & % 12.35/2.43 f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml) = v0 & % 12.35/2.43 individual(v1) = 0 & $i(v1) & $i(v0)) % 12.35/2.43 % 12.35/2.43 (just41) % 12.35/2.43 ! [v0: $i] : ! [v1: $i] : ( ~ (subsetof(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) % 12.35/2.43 | setorcollection(v0) = 0) % 12.35/2.43 % 12.35/2.43 (query64) % 12.35/2.43 $i(c_tptpcol_15_74743) & % 12.35/2.43 $i(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml) & ? [v0: $i] : % 12.35/2.43 ? [v1: $i] : (genls(v1, c_tptpcol_15_74743) = 0 & f_urlfn(v0) = v1 & % 12.35/2.43 f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml) = v0 & % 12.35/2.43 $i(v1) & $i(v0)) % 12.35/2.43 % 12.35/2.43 (function-axioms) % 12.35/2.44 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 12.35/2.44 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (natargument(v4, v3, v2) = v1) | ~ % 12.35/2.44 (natargument(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 12.35/2.44 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 12.35/2.44 (natfunction(v3, v2) = v1) | ~ (natfunction(v3, v2) = v0)) & ! [v0: % 12.35/2.44 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 12.35/2.44 : (v1 = v0 | ~ (arg1isa(v3, v2) = v1) | ~ (arg1isa(v3, v2) = v0)) & ! [v0: % 12.82/2.44 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 12.82/2.44 : (v1 = v0 | ~ (genls(v3, v2) = v1) | ~ (genls(v3, v2) = v0)) & ! [v0: % 12.82/2.44 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 12.82/2.44 : (v1 = v0 | ~ (most(v3, v2) = v1) | ~ (most(v3, v2) = v0)) & ! [v0: % 12.82/2.44 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 12.82/2.44 : (v1 = v0 | ~ (subsetof(v3, v2) = v1) | ~ (subsetof(v3, v2) = v0)) & ! % 12.82/2.44 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 12.82/2.44 $i] : (v1 = v0 | ~ (genlpreds(v3, v2) = v1) | ~ (genlpreds(v3, v2) = v0)) % 12.82/2.44 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 12.82/2.44 [v3: $i] : (v1 = v0 | ~ (genlinverse(v3, v2) = v1) | ~ (genlinverse(v3, v2) % 12.82/2.44 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 12.82/2.44 $i] : ! [v3: $i] : (v1 = v0 | ~ (isa(v3, v2) = v1) | ~ (isa(v3, v2) = % 12.82/2.44 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 12.82/2.44 $i] : ! [v3: $i] : (v1 = v0 | ~ (disjointwith(v3, v2) = v1) | ~ % 12.82/2.44 (disjointwith(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 12.82/2.44 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (thing(v2) = v1) | ~ % 12.82/2.44 (thing(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] % 12.82/2.44 : ! [v2: $i] : (v1 = v0 | ~ (uniformresourcelocator(v2) = v1) | ~ % 12.82/2.44 (uniformresourcelocator(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 12.82/2.44 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (mtvisible(v2) = v1) | ~ % 12.82/2.44 (mtvisible(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 12.82/2.44 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (binarypredicate(v2) = v1) % 12.82/2.44 | ~ (binarypredicate(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 12.82/2.44 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (predicate(v2) = v1) | ~ % 12.82/2.44 (predicate(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 12.82/2.44 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (relation(v2) = v1) | ~ % 12.82/2.44 (relation(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 12.82/2.44 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (collection(v2) = v1) | ~ % 12.82/2.44 (collection(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 12.82/2.44 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ % 12.82/2.44 (transitivebinarypredicate(v2) = v1) | ~ (transitivebinarypredicate(v2) = % 12.82/2.44 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 12.82/2.44 (f_urlfn(v2) = v1) | ~ (f_urlfn(v2) = v0)) & ! [v0: MultipleValueBool] : % 12.82/2.44 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (setorcollection(v2) = % 12.82/2.44 v1) | ~ (setorcollection(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 12.82/2.44 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (individual(v2) = v1) | % 12.82/2.44 ~ (individual(v2) = v0)) % 12.82/2.44 % 12.82/2.44 Further assumptions not needed in the proof: % 12.82/2.44 -------------------------------------------- % 12.82/2.44 just1, just11, just12, just13, just14, just15, just16, just17, just18, just19, % 12.82/2.44 just20, just21, just22, just23, just24, just25, just26, just27, just28, just29, % 12.82/2.44 just30, just31, just32, just33, just34, just35, just36, just37, just38, just39, % 12.82/2.44 just4, just40, just42, just43, just44, just45, just46, just47, just48, just49, % 12.82/2.44 just5, just50, just51, just52, just53, just54, just55, just56, just57, just58, % 12.82/2.44 just59, just6, just60, just61, just62, just63, just64, just65, just66, just67, % 12.82/2.44 just68, just69, just7, just70, just71, just72, just73, just74, just75, just76, % 12.82/2.44 just8, just9 % 12.82/2.44 % 12.82/2.44 Those formulas are unsatisfiable: % 12.82/2.44 --------------------------------- % 12.82/2.44 % 12.82/2.44 Begin of proof % 12.82/2.44 | % 12.82/2.44 | ALPHA: (just2) implies: % 12.82/2.45 | (1) ! [v0: $i] : ( ~ (individual(v0) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ % 12.82/2.45 | (v1 = 0) & setorcollection(v0) = v1)) % 12.82/2.45 | % 12.82/2.45 | ALPHA: (just3) implies: % 12.82/2.45 | (2) ? [v0: $i] : ? [v1: $i] : (f_urlfn(v0) = v1 & % 12.82/2.45 | f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml) = % 12.82/2.45 | v0 & individual(v1) = 0 & $i(v1) & $i(v0)) % 12.82/2.45 | % 12.82/2.45 | ALPHA: (just10) implies: % 12.82/2.45 | (3) ! [v0: $i] : ! [v1: $i] : ( ~ (genls(v0, v1) = 0) | ~ $i(v1) | ~ % 12.82/2.45 | $i(v0) | subsetof(v0, v1) = 0) % 12.82/2.45 | % 12.82/2.45 | ALPHA: (query64) implies: % 12.82/2.45 | (4) $i(c_tptpcol_15_74743) % 12.82/2.45 | (5) ? [v0: $i] : ? [v1: $i] : (genls(v1, c_tptpcol_15_74743) = 0 & % 12.82/2.45 | f_urlfn(v0) = v1 & % 12.82/2.45 | f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml) = % 12.82/2.45 | v0 & $i(v1) & $i(v0)) % 12.82/2.45 | % 12.82/2.45 | ALPHA: (function-axioms) implies: % 12.82/2.45 | (6) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 12.82/2.45 | (v1 = v0 | ~ (setorcollection(v2) = v1) | ~ (setorcollection(v2) = % 12.82/2.45 | v0)) % 12.82/2.45 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (f_urlfn(v2) = % 12.82/2.45 | v1) | ~ (f_urlfn(v2) = v0)) % 12.82/2.45 | % 12.82/2.45 | DELTA: instantiating (2) with fresh symbols all_72_0, all_72_1 gives: % 12.82/2.45 | (8) f_urlfn(all_72_1) = all_72_0 & % 12.82/2.45 | f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml) = % 12.82/2.45 | all_72_1 & individual(all_72_0) = 0 & $i(all_72_0) & $i(all_72_1) % 12.82/2.45 | % 12.82/2.45 | ALPHA: (8) implies: % 12.82/2.45 | (9) individual(all_72_0) = 0 % 12.82/2.45 | (10) f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml) = % 12.82/2.45 | all_72_1 % 12.82/2.45 | (11) f_urlfn(all_72_1) = all_72_0 % 12.82/2.45 | % 12.82/2.45 | DELTA: instantiating (5) with fresh symbols all_74_0, all_74_1 gives: % 12.82/2.45 | (12) genls(all_74_0, c_tptpcol_15_74743) = 0 & f_urlfn(all_74_1) = all_74_0 % 12.82/2.45 | & f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml) = % 12.82/2.45 | all_74_1 & $i(all_74_0) & $i(all_74_1) % 12.82/2.45 | % 12.82/2.45 | ALPHA: (12) implies: % 12.82/2.45 | (13) $i(all_74_0) % 12.82/2.45 | (14) f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml) = % 12.82/2.45 | all_74_1 % 12.82/2.45 | (15) f_urlfn(all_74_1) = all_74_0 % 12.82/2.45 | (16) genls(all_74_0, c_tptpcol_15_74743) = 0 % 12.82/2.45 | % 12.82/2.45 | GROUND_INST: instantiating (7) with all_72_1, all_74_1, % 12.82/2.45 | s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml, % 12.82/2.45 | simplifying with (10), (14) gives: % 12.82/2.45 | (17) all_74_1 = all_72_1 % 12.82/2.45 | % 12.82/2.45 | REDUCE: (15), (17) imply: % 12.82/2.46 | (18) f_urlfn(all_72_1) = all_74_0 % 12.82/2.46 | % 12.82/2.46 | GROUND_INST: instantiating (7) with all_72_0, all_74_0, all_72_1, simplifying % 12.82/2.46 | with (11), (18) gives: % 12.82/2.46 | (19) all_74_0 = all_72_0 % 12.82/2.46 | % 12.82/2.46 | REDUCE: (16), (19) imply: % 12.82/2.46 | (20) genls(all_72_0, c_tptpcol_15_74743) = 0 % 12.82/2.46 | % 12.82/2.46 | REDUCE: (13), (19) imply: % 12.82/2.46 | (21) $i(all_72_0) % 12.82/2.46 | % 12.82/2.46 | GROUND_INST: instantiating (1) with all_72_0, simplifying with (9), (21) % 12.82/2.46 | gives: % 12.82/2.46 | (22) ? [v0: int] : ( ~ (v0 = 0) & setorcollection(all_72_0) = v0) % 12.82/2.46 | % 12.82/2.46 | GROUND_INST: instantiating (3) with all_72_0, c_tptpcol_15_74743, simplifying % 12.82/2.46 | with (4), (20), (21) gives: % 12.82/2.46 | (23) subsetof(all_72_0, c_tptpcol_15_74743) = 0 % 12.82/2.46 | % 12.82/2.46 | DELTA: instantiating (22) with fresh symbol all_90_0 gives: % 12.82/2.46 | (24) ~ (all_90_0 = 0) & setorcollection(all_72_0) = all_90_0 % 12.82/2.46 | % 12.82/2.46 | ALPHA: (24) implies: % 12.82/2.46 | (25) ~ (all_90_0 = 0) % 12.82/2.46 | (26) setorcollection(all_72_0) = all_90_0 % 12.82/2.46 | % 12.82/2.46 | GROUND_INST: instantiating (just41) with all_72_0, c_tptpcol_15_74743, % 12.82/2.46 | simplifying with (4), (21), (23) gives: % 12.82/2.46 | (27) setorcollection(all_72_0) = 0 % 12.82/2.46 | % 12.82/2.46 | GROUND_INST: instantiating (6) with all_90_0, 0, all_72_0, simplifying with % 12.82/2.46 | (26), (27) gives: % 12.82/2.46 | (28) all_90_0 = 0 % 12.82/2.46 | % 12.82/2.46 | REDUCE: (25), (28) imply: % 12.82/2.46 | (29) $false % 12.82/2.46 | % 12.82/2.46 | CLOSE: (29) is inconsistent. % 12.82/2.46 | % 12.82/2.46 End of proof % 12.82/2.46 % SZS output end Proof for theBenchmark % 12.82/2.46 % 12.82/2.46 1850ms %------------------------------------------------------------------------------