%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : CSR071+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 21:37:11 EDT 2023 % Result : Theorem 9.01s 2.06s % Output : Proof 12.77s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CSR071+1 : TPTP v8.1.2. Released v3.4.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n015.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Mon Aug 28 10:24:24 EDT 2023 % 0.13/0.34 % CPUTime : % 0.20/0.63 ________ _____ % 0.20/0.63 ___ __ \_________(_)________________________________ % 0.20/0.63 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.63 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.63 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.63 % 0.20/0.63 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.63 (2023-06-19) % 0.20/0.63 % 0.20/0.63 (c) Philipp Rümmer, 2009-2023 % 0.20/0.63 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.63 Amanda Stjerna. % 0.20/0.63 Free software under BSD-3-Clause. % 0.20/0.63 % 0.20/0.63 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.63 % 0.20/0.63 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.20/0.64 Running up to 7 provers in parallel. % 0.20/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 0.20/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 3.41/1.23 Prover 4: Preprocessing ... % 3.41/1.23 Prover 1: Preprocessing ... % 3.41/1.26 Prover 2: Preprocessing ... % 3.41/1.26 Prover 0: Preprocessing ... % 3.41/1.26 Prover 5: Preprocessing ... % 3.41/1.26 Prover 3: Preprocessing ... % 3.41/1.26 Prover 6: Preprocessing ... % 6.26/1.66 Prover 2: Proving ... % 6.26/1.66 Prover 5: Proving ... % 6.78/1.77 Prover 6: Constructing countermodel ... % 7.28/1.84 Prover 3: Constructing countermodel ... % 7.28/1.85 Prover 1: Constructing countermodel ... % 8.44/1.99 Prover 4: Constructing countermodel ... % 8.44/1.99 Prover 0: Proving ... % 9.01/2.04 Prover 3: proved (1392ms) % 9.01/2.06 % 9.01/2.06 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 9.01/2.06 % 9.01/2.06 Prover 6: stopped % 9.01/2.06 Prover 2: stopped % 9.01/2.07 Prover 5: stopped % 9.47/2.09 Prover 0: stopped % 9.47/2.09 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 9.47/2.09 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 9.47/2.09 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 9.47/2.09 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 9.47/2.09 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 9.47/2.12 Prover 8: Preprocessing ... % 9.47/2.15 Prover 7: Preprocessing ... % 9.47/2.17 Prover 13: Preprocessing ... % 9.47/2.17 Prover 10: Preprocessing ... % 9.47/2.18 Prover 11: Preprocessing ... % 9.47/2.24 Prover 7: Constructing countermodel ... % 9.47/2.25 Prover 13: Warning: ignoring some quantifiers % 9.47/2.26 Prover 13: Constructing countermodel ... % 9.47/2.31 Prover 10: Constructing countermodel ... % 11.83/2.40 Prover 8: Warning: ignoring some quantifiers % 11.83/2.42 Prover 1: Found proof (size 57) % 11.83/2.42 Prover 8: Constructing countermodel ... % 11.83/2.42 Prover 1: proved (1773ms) % 11.83/2.42 Prover 7: stopped % 11.83/2.42 Prover 13: stopped % 11.83/2.42 Prover 10: stopped % 11.83/2.42 Prover 4: stopped % 11.83/2.43 Prover 8: stopped % 12.16/2.46 Prover 11: Constructing countermodel ... % 12.16/2.47 Prover 11: stopped % 12.16/2.47 % 12.16/2.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 12.16/2.47 % 12.16/2.48 % SZS output start Proof for theBenchmark % 12.16/2.49 Assumptions after simplification: % 12.16/2.49 --------------------------------- % 12.16/2.49 % 12.16/2.49 (just10) % 12.48/2.51 genlmt(c_tptp_spindlecollectormt, c_tptp_member1672_mt) = 0 & % 12.48/2.51 $i(c_tptp_member1672_mt) & $i(c_tptp_spindlecollectormt) % 12.48/2.51 % 12.48/2.51 (just13) % 12.48/2.51 $i(n_414) & $i(c_tptp_member698_mt) & ? [v0: any] : ? [v1: $i] : % 12.48/2.51 (mtvisible(c_tptp_member698_mt) = v0 & f_tptpquantityfn_6(n_414) = v1 & $i(v1) % 12.48/2.51 & ! [v2: $i] : ! [v3: int] : ( ~ (v0 = 0) | v3 = 0 | ~ (tptpofobject(v2, % 12.48/2.51 v1) = v3) | ~ $i(v2) | ? [v4: int] : ( ~ (v4 = 0) & % 12.48/2.51 militaryperson(v2) = v4))) % 12.48/2.51 % 12.48/2.51 (just14) % 12.48/2.52 $i(c_tptpofobject) & $i(n_414) & $i(c_tptp_member698_mt) & % 12.48/2.52 $i(c_militaryperson) & ? [v0: any] : ? [v1: $i] : ? [v2: any] : % 12.48/2.52 (relationallinstance(c_tptpofobject, c_militaryperson, v1) = v2 & % 12.48/2.52 mtvisible(c_tptp_member698_mt) = v0 & f_tptpquantityfn_6(n_414) = v1 & % 12.48/2.52 $i(v1) & ( ~ (v0 = 0) | v2 = 0)) % 12.48/2.52 % 12.48/2.52 (just15) % 12.48/2.52 $i(c_tptpnavypersonnel_3) & $i(c_tptp_member1672_mt) & ? [v0: any] : ? [v1: % 12.48/2.52 any] : (mtvisible(c_tptp_member1672_mt) = v0 & % 12.48/2.52 navypersonnel(c_tptpnavypersonnel_3) = v1 & ( ~ (v0 = 0) | v1 = 0)) % 12.48/2.52 % 12.48/2.52 (just2) % 12.48/2.52 ! [v0: $i] : ( ~ (navypersonnel(v0) = 0) | ~ $i(v0) | militaryperson(v0) = % 12.48/2.52 0) % 12.48/2.52 % 12.48/2.52 (just50) % 12.48/2.52 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (mtvisible(v1) = v2) | % 12.48/2.52 ~ (mtvisible(v0) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) % 12.48/2.52 & genlmt(v0, v1) = v3)) % 12.48/2.52 % 12.48/2.52 (just9) % 12.48/2.52 genlmt(c_tptp_spindlecollectormt, c_tptp_member698_mt) = 0 & % 12.48/2.52 $i(c_tptp_member698_mt) & $i(c_tptp_spindlecollectormt) % 12.48/2.52 % 12.48/2.52 (query71) % 12.48/2.52 $i(c_tptpnavypersonnel_3) & $i(n_414) & $i(c_tptp_spindlecollectormt) & ? % 12.48/2.52 [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & mtvisible(c_tptp_spindlecollectormt) % 12.48/2.52 = 0 & f_tptpquantityfn_6(n_414) = v0 & tptpofobject(c_tptpnavypersonnel_3, % 12.48/2.52 v0) = v1 & $i(v0)) % 12.48/2.52 % 12.48/2.52 (function-axioms) % 12.48/2.53 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 12.48/2.53 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (natargument(v4, v3, v2) = v1) | ~ % 12.48/2.53 (natargument(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 12.48/2.53 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ % 12.48/2.53 (relationallinstance(v4, v3, v2) = v1) | ~ (relationallinstance(v4, v3, v2) % 12.48/2.53 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 12.48/2.53 $i] : ! [v3: $i] : (v1 = v0 | ~ (natfunction(v3, v2) = v1) | ~ % 12.48/2.53 (natfunction(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 12.48/2.53 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 12.48/2.53 (genlinverse(v3, v2) = v1) | ~ (genlinverse(v3, v2) = v0)) & ! [v0: % 12.48/2.53 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 12.48/2.53 : (v1 = v0 | ~ (genlpreds(v3, v2) = v1) | ~ (genlpreds(v3, v2) = v0)) & ! % 12.48/2.53 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 12.48/2.53 $i] : (v1 = v0 | ~ (disjointwith(v3, v2) = v1) | ~ (disjointwith(v3, v2) = % 12.48/2.53 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 12.48/2.53 $i] : ! [v3: $i] : (v1 = v0 | ~ (isa(v3, v2) = v1) | ~ (isa(v3, v2) = % 12.48/2.53 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 12.48/2.53 $i] : ! [v3: $i] : (v1 = v0 | ~ (tptpofobject(v3, v2) = v1) | ~ % 12.48/2.53 (tptpofobject(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 12.48/2.53 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (genlmt(v3, % 12.48/2.53 v2) = v1) | ~ (genlmt(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! % 12.48/2.53 [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (genls(v3, % 12.48/2.53 v2) = v1) | ~ (genls(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! % 12.48/2.53 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (microtheory(v2) = v1) | % 12.48/2.53 ~ (microtheory(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 12.48/2.53 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (thing(v2) = v1) | ~ % 12.48/2.53 (thing(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] % 12.48/2.53 : ! [v2: $i] : (v1 = v0 | ~ (partiallytangible(v2) = v1) | ~ % 12.48/2.53 (partiallytangible(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 12.48/2.53 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (tptpquantity(v2) = v1) | % 12.48/2.53 ~ (tptpquantity(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 12.48/2.53 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (collection(v2) = v1) | ~ % 12.48/2.53 (collection(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 12.48/2.53 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (binarypredicate(v2) = v1) % 12.48/2.53 | ~ (binarypredicate(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 12.48/2.53 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (predicate(v2) = v1) | ~ % 12.48/2.53 (predicate(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 12.48/2.53 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (mtvisible(v2) = v1) | ~ % 12.48/2.53 (mtvisible(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | % 12.48/2.53 ~ (f_tptpquantityfn_6(v2) = v1) | ~ (f_tptpquantityfn_6(v2) = v0)) & ! % 12.48/2.53 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 % 12.48/2.53 | ~ (transitivebinarypredicate(v2) = v1) | ~ % 12.48/2.53 (transitivebinarypredicate(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 12.48/2.53 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (navypersonnel(v2) = v1) | % 12.48/2.53 ~ (navypersonnel(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 12.48/2.53 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (militaryperson(v2) = v1) | % 12.48/2.53 ~ (militaryperson(v2) = v0)) % 12.48/2.54 % 12.48/2.54 Further assumptions not needed in the proof: % 12.48/2.54 -------------------------------------------- % 12.48/2.54 just1, just11, just12, just16, just17, just18, just19, just20, just21, just22, % 12.48/2.54 just23, just24, just25, just26, just27, just28, just29, just3, just30, just31, % 12.48/2.54 just32, just33, just34, just35, just36, just37, just38, just39, just4, just40, % 12.48/2.54 just41, just42, just43, just44, just45, just46, just47, just48, just49, just5, % 12.48/2.54 just51, just52, just53, just54, just55, just56, just57, just58, just59, just6, % 12.48/2.54 just60, just61, just62, just63, just64, just65, just66, just67, just68, just69, % 12.48/2.54 just7, just70, just71, just8 % 12.48/2.54 % 12.48/2.54 Those formulas are unsatisfiable: % 12.48/2.54 --------------------------------- % 12.48/2.54 % 12.48/2.54 Begin of proof % 12.48/2.54 | % 12.48/2.54 | ALPHA: (just9) implies: % 12.48/2.54 | (1) genlmt(c_tptp_spindlecollectormt, c_tptp_member698_mt) = 0 % 12.48/2.54 | % 12.48/2.54 | ALPHA: (just10) implies: % 12.48/2.54 | (2) genlmt(c_tptp_spindlecollectormt, c_tptp_member1672_mt) = 0 % 12.48/2.54 | % 12.48/2.54 | ALPHA: (just13) implies: % 12.48/2.54 | (3) ? [v0: any] : ? [v1: $i] : (mtvisible(c_tptp_member698_mt) = v0 & % 12.48/2.54 | f_tptpquantityfn_6(n_414) = v1 & $i(v1) & ! [v2: $i] : ! [v3: int] % 12.48/2.54 | : ( ~ (v0 = 0) | v3 = 0 | ~ (tptpofobject(v2, v1) = v3) | ~ $i(v2) % 12.48/2.54 | | ? [v4: int] : ( ~ (v4 = 0) & militaryperson(v2) = v4))) % 12.48/2.54 | % 12.48/2.54 | ALPHA: (just14) implies: % 12.48/2.54 | (4) $i(c_tptp_member698_mt) % 12.48/2.54 | (5) ? [v0: any] : ? [v1: $i] : ? [v2: any] : % 12.48/2.54 | (relationallinstance(c_tptpofobject, c_militaryperson, v1) = v2 & % 12.48/2.54 | mtvisible(c_tptp_member698_mt) = v0 & f_tptpquantityfn_6(n_414) = v1 % 12.48/2.54 | & $i(v1) & ( ~ (v0 = 0) | v2 = 0)) % 12.48/2.54 | % 12.48/2.54 | ALPHA: (just15) implies: % 12.48/2.54 | (6) $i(c_tptp_member1672_mt) % 12.48/2.54 | (7) ? [v0: any] : ? [v1: any] : (mtvisible(c_tptp_member1672_mt) = v0 & % 12.48/2.54 | navypersonnel(c_tptpnavypersonnel_3) = v1 & ( ~ (v0 = 0) | v1 = 0)) % 12.48/2.54 | % 12.48/2.54 | ALPHA: (query71) implies: % 12.48/2.54 | (8) $i(c_tptp_spindlecollectormt) % 12.48/2.54 | (9) $i(c_tptpnavypersonnel_3) % 12.48/2.54 | (10) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & % 12.48/2.54 | mtvisible(c_tptp_spindlecollectormt) = 0 & f_tptpquantityfn_6(n_414) % 12.48/2.54 | = v0 & tptpofobject(c_tptpnavypersonnel_3, v0) = v1 & $i(v0)) % 12.48/2.54 | % 12.48/2.54 | ALPHA: (function-axioms) implies: % 12.48/2.54 | (11) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 12.48/2.54 | : (v1 = v0 | ~ (militaryperson(v2) = v1) | ~ (militaryperson(v2) = % 12.48/2.54 | v0)) % 12.48/2.54 | (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 12.48/2.54 | (f_tptpquantityfn_6(v2) = v1) | ~ (f_tptpquantityfn_6(v2) = v0)) % 12.48/2.54 | (13) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 12.48/2.54 | : (v1 = v0 | ~ (mtvisible(v2) = v1) | ~ (mtvisible(v2) = v0)) % 12.48/2.55 | (14) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 12.48/2.55 | : ! [v3: $i] : (v1 = v0 | ~ (genlmt(v3, v2) = v1) | ~ (genlmt(v3, % 12.48/2.55 | v2) = v0)) % 12.48/2.55 | % 12.48/2.55 | DELTA: instantiating (7) with fresh symbols all_59_0, all_59_1 gives: % 12.48/2.55 | (15) mtvisible(c_tptp_member1672_mt) = all_59_1 & % 12.48/2.55 | navypersonnel(c_tptpnavypersonnel_3) = all_59_0 & ( ~ (all_59_1 = 0) | % 12.48/2.55 | all_59_0 = 0) % 12.48/2.55 | % 12.48/2.55 | ALPHA: (15) implies: % 12.48/2.55 | (16) navypersonnel(c_tptpnavypersonnel_3) = all_59_0 % 12.48/2.55 | (17) mtvisible(c_tptp_member1672_mt) = all_59_1 % 12.48/2.55 | (18) ~ (all_59_1 = 0) | all_59_0 = 0 % 12.48/2.55 | % 12.48/2.55 | DELTA: instantiating (10) with fresh symbols all_61_0, all_61_1 gives: % 12.48/2.55 | (19) ~ (all_61_0 = 0) & mtvisible(c_tptp_spindlecollectormt) = 0 & % 12.48/2.55 | f_tptpquantityfn_6(n_414) = all_61_1 & % 12.48/2.55 | tptpofobject(c_tptpnavypersonnel_3, all_61_1) = all_61_0 & % 12.48/2.55 | $i(all_61_1) % 12.48/2.55 | % 12.48/2.55 | ALPHA: (19) implies: % 12.48/2.55 | (20) ~ (all_61_0 = 0) % 12.48/2.55 | (21) tptpofobject(c_tptpnavypersonnel_3, all_61_1) = all_61_0 % 12.48/2.55 | (22) f_tptpquantityfn_6(n_414) = all_61_1 % 12.48/2.55 | (23) mtvisible(c_tptp_spindlecollectormt) = 0 % 12.48/2.55 | % 12.48/2.55 | DELTA: instantiating (5) with fresh symbols all_63_0, all_63_1, all_63_2 % 12.48/2.55 | gives: % 12.48/2.55 | (24) relationallinstance(c_tptpofobject, c_militaryperson, all_63_1) = % 12.48/2.55 | all_63_0 & mtvisible(c_tptp_member698_mt) = all_63_2 & % 12.48/2.55 | f_tptpquantityfn_6(n_414) = all_63_1 & $i(all_63_1) & ( ~ (all_63_2 = % 12.48/2.55 | 0) | all_63_0 = 0) % 12.48/2.55 | % 12.48/2.55 | ALPHA: (24) implies: % 12.48/2.55 | (25) mtvisible(c_tptp_member698_mt) = all_63_2 % 12.48/2.55 | % 12.48/2.55 | DELTA: instantiating (3) with fresh symbols all_65_0, all_65_1 gives: % 12.48/2.55 | (26) mtvisible(c_tptp_member698_mt) = all_65_1 & f_tptpquantityfn_6(n_414) % 12.48/2.55 | = all_65_0 & $i(all_65_0) & ! [v0: $i] : ! [v1: int] : ( ~ (all_65_1 % 12.48/2.55 | = 0) | v1 = 0 | ~ (tptpofobject(v0, all_65_0) = v1) | ~ $i(v0) | % 12.48/2.55 | ? [v2: int] : ( ~ (v2 = 0) & militaryperson(v0) = v2)) % 12.48/2.55 | % 12.48/2.55 | ALPHA: (26) implies: % 12.48/2.55 | (27) f_tptpquantityfn_6(n_414) = all_65_0 % 12.48/2.55 | (28) mtvisible(c_tptp_member698_mt) = all_65_1 % 12.48/2.55 | (29) ! [v0: $i] : ! [v1: int] : ( ~ (all_65_1 = 0) | v1 = 0 | ~ % 12.48/2.55 | (tptpofobject(v0, all_65_0) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ % 12.48/2.55 | (v2 = 0) & militaryperson(v0) = v2)) % 12.48/2.55 | % 12.48/2.55 | GROUND_INST: instantiating (12) with all_61_1, all_65_0, n_414, simplifying % 12.48/2.55 | with (22), (27) gives: % 12.48/2.55 | (30) all_65_0 = all_61_1 % 12.48/2.55 | % 12.48/2.55 | GROUND_INST: instantiating (13) with all_63_2, all_65_1, c_tptp_member698_mt, % 12.48/2.55 | simplifying with (25), (28) gives: % 12.48/2.55 | (31) all_65_1 = all_63_2 % 12.48/2.55 | % 12.48/2.55 | GROUND_INST: instantiating (just50) with c_tptp_spindlecollectormt, % 12.48/2.55 | c_tptp_member698_mt, all_63_2, simplifying with (4), (8), (23), % 12.48/2.55 | (25) gives: % 12.48/2.55 | (32) all_63_2 = 0 | ? [v0: int] : ( ~ (v0 = 0) & % 12.48/2.55 | genlmt(c_tptp_spindlecollectormt, c_tptp_member698_mt) = v0) % 12.48/2.55 | % 12.48/2.55 | GROUND_INST: instantiating (just50) with c_tptp_spindlecollectormt, % 12.48/2.55 | c_tptp_member1672_mt, all_59_1, simplifying with (6), (8), (17), % 12.48/2.55 | (23) gives: % 12.48/2.56 | (33) all_59_1 = 0 | ? [v0: int] : ( ~ (v0 = 0) & % 12.48/2.56 | genlmt(c_tptp_spindlecollectormt, c_tptp_member1672_mt) = v0) % 12.48/2.56 | % 12.48/2.56 | BETA: splitting (33) gives: % 12.48/2.56 | % 12.48/2.56 | Case 1: % 12.48/2.56 | | % 12.48/2.56 | | (34) all_59_1 = 0 % 12.48/2.56 | | % 12.48/2.56 | | BETA: splitting (18) gives: % 12.48/2.56 | | % 12.48/2.56 | | Case 1: % 12.48/2.56 | | | % 12.48/2.56 | | | (35) ~ (all_59_1 = 0) % 12.48/2.56 | | | % 12.48/2.56 | | | REDUCE: (34), (35) imply: % 12.48/2.56 | | | (36) $false % 12.48/2.56 | | | % 12.48/2.56 | | | CLOSE: (36) is inconsistent. % 12.48/2.56 | | | % 12.48/2.56 | | Case 2: % 12.48/2.56 | | | % 12.48/2.56 | | | (37) all_59_0 = 0 % 12.48/2.56 | | | % 12.48/2.56 | | | REDUCE: (16), (37) imply: % 12.48/2.56 | | | (38) navypersonnel(c_tptpnavypersonnel_3) = 0 % 12.48/2.56 | | | % 12.48/2.56 | | | BETA: splitting (32) gives: % 12.48/2.56 | | | % 12.48/2.56 | | | Case 1: % 12.48/2.56 | | | | % 12.48/2.56 | | | | (39) all_63_2 = 0 % 12.48/2.56 | | | | % 12.48/2.56 | | | | COMBINE_EQS: (31), (39) imply: % 12.48/2.56 | | | | (40) all_65_1 = 0 % 12.48/2.56 | | | | % 12.48/2.56 | | | | GROUND_INST: instantiating (just2) with c_tptpnavypersonnel_3, % 12.48/2.56 | | | | simplifying with (9), (38) gives: % 12.48/2.56 | | | | (41) militaryperson(c_tptpnavypersonnel_3) = 0 % 12.48/2.56 | | | | % 12.48/2.56 | | | | GROUND_INST: instantiating (29) with c_tptpnavypersonnel_3, all_61_0, % 12.48/2.56 | | | | simplifying with (9) gives: % 12.48/2.56 | | | | (42) ~ (all_65_1 = 0) | all_61_0 = 0 | ~ % 12.48/2.56 | | | | (tptpofobject(c_tptpnavypersonnel_3, all_65_0) = all_61_0) | ? % 12.48/2.56 | | | | [v0: int] : ( ~ (v0 = 0) & militaryperson(c_tptpnavypersonnel_3) % 12.48/2.56 | | | | = v0) % 12.48/2.56 | | | | % 12.48/2.56 | | | | BETA: splitting (42) gives: % 12.48/2.56 | | | | % 12.48/2.56 | | | | Case 1: % 12.48/2.56 | | | | | % 12.48/2.56 | | | | | (43) ~ (tptpofobject(c_tptpnavypersonnel_3, all_65_0) = all_61_0) % 12.48/2.56 | | | | | % 12.48/2.56 | | | | | REDUCE: (30), (43) imply: % 12.48/2.56 | | | | | (44) ~ (tptpofobject(c_tptpnavypersonnel_3, all_61_1) = all_61_0) % 12.48/2.56 | | | | | % 12.48/2.56 | | | | | PRED_UNIFY: (21), (44) imply: % 12.48/2.56 | | | | | (45) $false % 12.48/2.56 | | | | | % 12.48/2.56 | | | | | CLOSE: (45) is inconsistent. % 12.48/2.56 | | | | | % 12.48/2.56 | | | | Case 2: % 12.48/2.56 | | | | | % 12.48/2.56 | | | | | (46) ~ (all_65_1 = 0) | all_61_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) % 12.48/2.56 | | | | | & militaryperson(c_tptpnavypersonnel_3) = v0) % 12.48/2.56 | | | | | % 12.48/2.56 | | | | | BETA: splitting (46) gives: % 12.48/2.56 | | | | | % 12.48/2.56 | | | | | Case 1: % 12.48/2.56 | | | | | | % 12.48/2.56 | | | | | | (47) ~ (all_65_1 = 0) % 12.48/2.56 | | | | | | % 12.48/2.56 | | | | | | REDUCE: (40), (47) imply: % 12.48/2.56 | | | | | | (48) $false % 12.48/2.56 | | | | | | % 12.77/2.56 | | | | | | CLOSE: (48) is inconsistent. % 12.77/2.56 | | | | | | % 12.77/2.56 | | | | | Case 2: % 12.77/2.56 | | | | | | % 12.77/2.56 | | | | | | (49) all_61_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) & % 12.77/2.56 | | | | | | militaryperson(c_tptpnavypersonnel_3) = v0) % 12.77/2.56 | | | | | | % 12.77/2.56 | | | | | | BETA: splitting (49) gives: % 12.77/2.56 | | | | | | % 12.77/2.56 | | | | | | Case 1: % 12.77/2.56 | | | | | | | % 12.77/2.56 | | | | | | | (50) all_61_0 = 0 % 12.77/2.56 | | | | | | | % 12.77/2.56 | | | | | | | REDUCE: (20), (50) imply: % 12.77/2.56 | | | | | | | (51) $false % 12.77/2.56 | | | | | | | % 12.77/2.56 | | | | | | | CLOSE: (51) is inconsistent. % 12.77/2.56 | | | | | | | % 12.77/2.56 | | | | | | Case 2: % 12.77/2.56 | | | | | | | % 12.77/2.56 | | | | | | | (52) ? [v0: int] : ( ~ (v0 = 0) & % 12.77/2.56 | | | | | | | militaryperson(c_tptpnavypersonnel_3) = v0) % 12.77/2.56 | | | | | | | % 12.77/2.56 | | | | | | | DELTA: instantiating (52) with fresh symbol all_123_0 gives: % 12.77/2.56 | | | | | | | (53) ~ (all_123_0 = 0) & militaryperson(c_tptpnavypersonnel_3) % 12.77/2.56 | | | | | | | = all_123_0 % 12.77/2.56 | | | | | | | % 12.77/2.56 | | | | | | | ALPHA: (53) implies: % 12.77/2.56 | | | | | | | (54) ~ (all_123_0 = 0) % 12.77/2.56 | | | | | | | (55) militaryperson(c_tptpnavypersonnel_3) = all_123_0 % 12.77/2.56 | | | | | | | % 12.77/2.56 | | | | | | | GROUND_INST: instantiating (11) with 0, all_123_0, % 12.77/2.56 | | | | | | | c_tptpnavypersonnel_3, simplifying with (41), (55) % 12.77/2.56 | | | | | | | gives: % 12.77/2.56 | | | | | | | (56) all_123_0 = 0 % 12.77/2.56 | | | | | | | % 12.77/2.56 | | | | | | | REDUCE: (54), (56) imply: % 12.77/2.56 | | | | | | | (57) $false % 12.77/2.56 | | | | | | | % 12.77/2.56 | | | | | | | CLOSE: (57) is inconsistent. % 12.77/2.56 | | | | | | | % 12.77/2.56 | | | | | | End of split % 12.77/2.56 | | | | | | % 12.77/2.56 | | | | | End of split % 12.77/2.56 | | | | | % 12.77/2.56 | | | | End of split % 12.77/2.56 | | | | % 12.77/2.56 | | | Case 2: % 12.77/2.56 | | | | % 12.77/2.56 | | | | (58) ? [v0: int] : ( ~ (v0 = 0) & genlmt(c_tptp_spindlecollectormt, % 12.77/2.56 | | | | c_tptp_member698_mt) = v0) % 12.77/2.56 | | | | % 12.77/2.56 | | | | DELTA: instantiating (58) with fresh symbol all_90_0 gives: % 12.77/2.56 | | | | (59) ~ (all_90_0 = 0) & genlmt(c_tptp_spindlecollectormt, % 12.77/2.56 | | | | c_tptp_member698_mt) = all_90_0 % 12.77/2.56 | | | | % 12.77/2.56 | | | | ALPHA: (59) implies: % 12.77/2.56 | | | | (60) ~ (all_90_0 = 0) % 12.77/2.56 | | | | (61) genlmt(c_tptp_spindlecollectormt, c_tptp_member698_mt) = % 12.77/2.57 | | | | all_90_0 % 12.77/2.57 | | | | % 12.77/2.57 | | | | GROUND_INST: instantiating (14) with 0, all_90_0, c_tptp_member698_mt, % 12.77/2.57 | | | | c_tptp_spindlecollectormt, simplifying with (1), (61) % 12.77/2.57 | | | | gives: % 12.77/2.57 | | | | (62) all_90_0 = 0 % 12.77/2.57 | | | | % 12.77/2.57 | | | | REDUCE: (60), (62) imply: % 12.77/2.57 | | | | (63) $false % 12.77/2.57 | | | | % 12.77/2.57 | | | | CLOSE: (63) is inconsistent. % 12.77/2.57 | | | | % 12.77/2.57 | | | End of split % 12.77/2.57 | | | % 12.77/2.57 | | End of split % 12.77/2.57 | | % 12.77/2.57 | Case 2: % 12.77/2.57 | | % 12.77/2.57 | | (64) ? [v0: int] : ( ~ (v0 = 0) & genlmt(c_tptp_spindlecollectormt, % 12.77/2.57 | | c_tptp_member1672_mt) = v0) % 12.77/2.57 | | % 12.77/2.57 | | DELTA: instantiating (64) with fresh symbol all_82_0 gives: % 12.77/2.57 | | (65) ~ (all_82_0 = 0) & genlmt(c_tptp_spindlecollectormt, % 12.77/2.57 | | c_tptp_member1672_mt) = all_82_0 % 12.77/2.57 | | % 12.77/2.57 | | ALPHA: (65) implies: % 12.77/2.57 | | (66) ~ (all_82_0 = 0) % 12.77/2.57 | | (67) genlmt(c_tptp_spindlecollectormt, c_tptp_member1672_mt) = all_82_0 % 12.77/2.57 | | % 12.77/2.57 | | GROUND_INST: instantiating (14) with 0, all_82_0, c_tptp_member1672_mt, % 12.77/2.57 | | c_tptp_spindlecollectormt, simplifying with (2), (67) gives: % 12.77/2.57 | | (68) all_82_0 = 0 % 12.77/2.57 | | % 12.77/2.57 | | REDUCE: (66), (68) imply: % 12.77/2.57 | | (69) $false % 12.77/2.57 | | % 12.77/2.57 | | CLOSE: (69) is inconsistent. % 12.77/2.57 | | % 12.77/2.57 | End of split % 12.77/2.57 | % 12.77/2.57 End of proof % 12.77/2.57 % SZS output end Proof for theBenchmark % 12.77/2.57 % 12.77/2.57 1941ms %------------------------------------------------------------------------------