%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : MGT065+1 : TPTP v9.3.0. Released v2.4.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n010.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Tue Sep 8 06:17:28 AM UTC 2026 % Result : Theorem 42.69s 6.24s % Output : Proof 43.78s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT065+1 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.03 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.09/0.33 % Computer : n010.cluster.edu % 0.09/0.33 % Model : x86_64 x86_64 % 0.09/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.33 % Memory : 8046.5625MB % 0.09/0.33 % OS : Linux 6.8.0-71-generic % 0.09/0.33 % CPULimit : 300 % 0.09/0.33 % WCLimit : 300 % 0.09/0.33 % DateTime : Mon Sep 7 13:45:26 UTC 2026 % 0.09/0.33 % CPUTime : % 0.09/0.35 OpenJDK 64-Bit Server VM warning: Options -Xverify:none and -noverify were deprecated in JDK 13 and will likely be removed in a future release. % 0.56/0.69 ________ _____ % 0.56/0.69 ___ __ \_________(_)________________________________ % 0.56/0.69 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.56/0.69 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.56/0.69 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.56/0.69 % 0.56/0.69 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.56/0.69 (2023-06-19) % 0.56/0.69 % 0.56/0.69 (c) Philipp Rümmer, 2009-2023 % 0.56/0.69 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.56/0.69 Amanda Stjerna. % 0.56/0.69 Free software under BSD-3-Clause. % 0.56/0.69 % 0.56/0.69 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.56/0.69 % 0.56/0.69 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.67/0.71 Running up to 7 provers in parallel. % 0.67/0.72 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.67/0.72 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.67/0.72 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.67/0.72 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.67/0.72 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.67/0.72 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.67/0.72 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.37/1.27 Prover 4: Preprocessing ... % 3.37/1.29 Prover 1: Preprocessing ... % 4.15/1.36 Prover 3: Preprocessing ... % 4.15/1.36 Prover 6: Preprocessing ... % 4.15/1.36 Prover 0: Preprocessing ... % 4.15/1.36 Prover 5: Preprocessing ... % 4.15/1.36 Prover 2: Preprocessing ... % 8.79/1.91 Prover 1: Warning: ignoring some quantifiers % 8.79/1.92 Prover 5: Proving ... % 8.79/1.92 Prover 2: Proving ... % 8.79/1.93 Prover 3: Warning: ignoring some quantifiers % 8.79/1.93 Prover 1: Constructing countermodel ... % 8.79/1.94 Prover 3: Constructing countermodel ... % 8.79/2.00 Prover 6: Proving ... % 9.81/2.11 Prover 4: Constructing countermodel ... % 11.92/2.31 Prover 0: Proving ... % 12.69/2.45 Prover 3: gave up % 12.69/2.45 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 13.48/2.55 Prover 7: Preprocessing ... % 14.30/2.65 Prover 1: gave up % 14.30/2.65 Prover 7: Warning: ignoring some quantifiers % 14.30/2.65 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 14.30/2.66 Prover 7: Constructing countermodel ... % 15.10/2.77 Prover 8: Preprocessing ... % 16.63/3.03 Prover 8: Warning: ignoring some quantifiers % 17.67/3.07 Prover 8: Constructing countermodel ... % 21.41/3.53 Prover 8: gave up % 21.41/3.54 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 22.17/3.61 Prover 9: Preprocessing ... % 23.82/3.86 Prover 9: Warning: ignoring some quantifiers % 23.82/3.89 Prover 9: Constructing countermodel ... % 42.69/6.23 Prover 7: Found proof (size 68) % 42.69/6.23 Prover 7: proved (3781ms) % 42.69/6.23 Prover 5: stopped % 42.69/6.23 Prover 6: stopped % 42.69/6.23 Prover 0: stopped % 42.69/6.23 Prover 9: stopped % 42.69/6.23 Prover 2: stopped % 42.69/6.24 Prover 4: stopped % 42.69/6.24 % 42.69/6.24 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 42.69/6.24 % 42.69/6.25 % SZS output start Proof for theBenchmark % 42.69/6.26 Assumptions after simplification: % 42.69/6.26 --------------------------------- % 42.69/6.26 % 42.69/6.26 (assumption_13) % 43.29/6.31 $i(zero) & ! [v0: $i] : ! [v1: $i] : ( ~ (age(v0, v1) = zero) | ~ $i(v1) | % 43.29/6.31 ~ $i(v0) | ~ organization(v0) | is_aligned(v0, v1)) % 43.29/6.31 % 43.29/6.31 (assumption_15) % 43.29/6.32 $i(sigma) & $i(zero) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : % 43.29/6.32 ( ~ (age(v0, v2) = v3) | ~ (age(v0, v1) = zero) | ~ $i(v2) | ~ $i(v1) | ~ % 43.29/6.32 $i(v0) | ~ dissimilar(v0, v1, v2) | ~ organization(v0) | greater(v3, % 43.29/6.32 sigma)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 43.29/6.32 (age(v0, v2) = v3) | ~ (age(v0, v1) = zero) | ~ $i(v2) | ~ $i(v1) | ~ % 43.29/6.32 $i(v0) | ~ organization(v0) | ~ greater(v3, sigma) | dissimilar(v0, v1, % 43.29/6.32 v2)) % 43.29/6.32 % 43.29/6.32 (assumption_17) % 43.29/6.34 $i(high) & $i(mod2) & $i(mod1) & $i(low) & $i(very_low) & ! [v0: $i] : ! % 43.29/6.34 [v1: $i] : ! [v2: $i] : (v2 = high | ~ (hazard_of_mortality(v0, v1) = v2) | % 43.29/6.34 ~ $i(v1) | ~ $i(v0) | ~ organization(v0) | positional_advantage(v0, v1) | % 43.29/6.34 is_aligned(v0, v1) | has_immunity(v0, v1)) & ! [v0: $i] : ! [v1: $i] : ! % 43.29/6.34 [v2: $i] : (v2 = mod2 | ~ (hazard_of_mortality(v0, v1) = v2) | ~ $i(v1) | ~ % 43.29/6.34 $i(v0) | ~ is_aligned(v0, v1) | ~ organization(v0) | % 43.29/6.34 positional_advantage(v0, v1) | has_immunity(v0, v1)) & ! [v0: $i] : ! [v1: % 43.29/6.34 $i] : ! [v2: $i] : (v2 = mod1 | ~ (hazard_of_mortality(v0, v1) = v2) | ~ % 43.29/6.34 $i(v1) | ~ $i(v0) | ~ positional_advantage(v0, v1) | ~ organization(v0) | % 43.29/6.34 is_aligned(v0, v1) | has_immunity(v0, v1)) & ! [v0: $i] : ! [v1: $i] : ! % 43.29/6.34 [v2: $i] : (v2 = low | ~ (hazard_of_mortality(v0, v1) = v2) | ~ $i(v1) | ~ % 43.29/6.34 $i(v0) | ~ positional_advantage(v0, v1) | ~ is_aligned(v0, v1) | ~ % 43.29/6.34 organization(v0) | has_immunity(v0, v1)) & ! [v0: $i] : ! [v1: $i] : ! % 43.29/6.34 [v2: $i] : (v2 = very_low | ~ (hazard_of_mortality(v0, v1) = v2) | ~ $i(v1) % 43.29/6.34 | ~ $i(v0) | ~ has_immunity(v0, v1) | ~ organization(v0)) % 43.29/6.34 % 43.29/6.34 (assumption_18b) % 43.29/6.34 $i(mod1) & $i(low) & greater(mod1, low) % 43.29/6.34 % 43.29/6.34 (assumption_18c) % 43.29/6.34 $i(low) & $i(very_low) & greater(low, very_low) % 43.29/6.34 % 43.29/6.34 (assumption_18d) % 43.29/6.34 $i(high) & $i(mod2) & greater(high, mod2) % 43.29/6.34 % 43.29/6.34 (assumption_18e) % 43.29/6.34 $i(mod2) & $i(low) & greater(mod2, low) % 43.29/6.34 % 43.29/6.34 (definition_1) % 43.29/6.35 $i(eta) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (age(v0, v1) = v2) | % 43.29/6.35 ~ $i(v1) | ~ $i(v0) | ~ has_immunity(v0, v1) | ~ has_endowment(v0) | ~ % 43.29/6.35 greater(v2, eta)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (age(v0, % 43.29/6.35 v1) = v2) | ~ $i(v1) | ~ $i(v0) | ~ has_endowment(v0) | ~ % 43.29/6.35 smaller_or_equal(v2, eta) | has_immunity(v0, v1)) & ! [v0: $i] : ( ~ $i(v0) % 43.29/6.35 | ~ has_endowment(v0) | organization(v0)) & ? [v0: $i] : ( ~ $i(v0) | % 43.29/6.35 has_endowment(v0) | ? [v1: $i] : ? [v2: $i] : ($i(v1) & ( ~ % 43.29/6.35 organization(v0) | (age(v0, v1) = v2 & $i(v2) & has_immunity(v0, v1) & % 43.29/6.35 greater(v2, eta)) | (age(v0, v1) = v2 & $i(v2) & smaller_or_equal(v2, % 43.29/6.35 eta) & ~ has_immunity(v0, v1))))) % 43.29/6.35 % 43.29/6.35 (definition_2) % 43.29/6.36 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 43.29/6.36 ~ is_aligned(v0, v2) | ~ is_aligned(v0, v1) | ~ dissimilar(v0, v1, v2)) & % 43.29/6.36 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 43.29/6.36 ~ dissimilar(v0, v1, v2) | is_aligned(v0, v2) | is_aligned(v0, v1)) & ! % 43.29/6.36 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 43.29/6.36 dissimilar(v0, v1, v2) | organization(v0)) & ? [v0: $i] : ! [v1: $i] : ! % 43.29/6.36 [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ is_aligned(v1, v2) | ~ % 43.29/6.36 organization(v1) | is_aligned(v1, v0) | dissimilar(v1, v2, v0)) & ? [v0: % 43.29/6.36 $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 43.29/6.36 is_aligned(v1, v2) | ~ organization(v1) | is_aligned(v1, v0) | % 43.29/6.36 dissimilar(v1, v0, v2)) % 43.29/6.36 % 43.29/6.36 (definition_smaller) % 43.29/6.36 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ greater(v1, v0) | % 43.29/6.36 smaller(v0, v1)) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ % 43.29/6.36 smaller(v0, v1) | greater(v1, v0)) % 43.29/6.36 % 43.29/6.36 (definition_smaller_or_equal) % 43.29/6.36 ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ $i(v1) | ~ $i(v0) | ~ % 43.29/6.36 smaller_or_equal(v0, v1) | smaller(v0, v1)) & ! [v0: $i] : ! [v1: $i] : ( % 43.29/6.36 ~ $i(v1) | ~ $i(v0) | ~ smaller(v0, v1) | smaller_or_equal(v0, v1)) & ? % 43.29/6.36 [v0: $i] : ( ~ $i(v0) | smaller_or_equal(v0, v0)) % 43.29/6.36 % 43.29/6.36 (meaning_postulate_greater_transitive) % 43.29/6.36 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 43.29/6.36 ~ greater(v1, v2) | ~ greater(v0, v1) | greater(v0, v2)) % 43.29/6.36 % 43.29/6.36 (theorem_11) % 43.29/6.37 $i(tau) & $i(sigma) & $i(zero) & $i(eta) & ? [v0: $i] : ? [v1: $i] : ? [v2: % 43.29/6.37 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : % 43.29/6.37 ? [v8: $i] : (hazard_of_mortality(v0, v2) = v7 & age(v0, v3) = v5 & age(v0, % 43.29/6.37 v2) = v4 & age(v0, v1) = zero & $i(v7) & $i(v5) & $i(v4) & $i(v3) & $i(v2) % 43.29/6.37 & $i(v1) & $i(v0) & organization(v0) & has_endowment(v0) & greater(v5, tau) % 43.29/6.37 & greater(v5, sigma) & greater(v5, eta) & greater(tau, zero) & % 43.29/6.37 greater(sigma, zero) & greater(eta, zero) & smaller_or_equal(v4, tau) & % 43.29/6.37 smaller_or_equal(v4, sigma) & smaller_or_equal(v4, eta) & % 43.29/6.37 (fragile_position(v0) | robust_position(v0)) & (( ~ (v8 = v7) & % 43.29/6.37 hazard_of_mortality(v0, v1) = v8 & $i(v8)) | (hazard_of_mortality(v0, % 43.29/6.37 v3) = v6 & $i(v6) & ~ greater(v6, v7)))) % 43.29/6.37 % 43.29/6.37 Further assumptions not needed in the proof: % 43.29/6.37 -------------------------------------------- % 43.29/6.37 assumption_18a, definition_greater_or_equal, % 43.29/6.37 meaning_postulate_greater_comparable, meaning_postulate_greater_strict % 43.29/6.37 % 43.29/6.37 Those formulas are unsatisfiable: % 43.29/6.37 --------------------------------- % 43.29/6.37 % 43.29/6.37 Begin of proof % 43.29/6.37 | % 43.29/6.37 | ALPHA: (definition_smaller_or_equal) implies: % 43.29/6.37 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ smaller(v0, v1) % 43.29/6.37 | | smaller_or_equal(v0, v1)) % 43.29/6.37 | % 43.29/6.37 | ALPHA: (definition_smaller) implies: % 43.29/6.38 | (2) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ greater(v1, v0) % 43.29/6.38 | | smaller(v0, v1)) % 43.29/6.38 | % 43.29/6.38 | ALPHA: (definition_1) implies: % 43.29/6.38 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (age(v0, v1) = v2) | ~ % 43.29/6.38 | $i(v1) | ~ $i(v0) | ~ has_endowment(v0) | ~ smaller_or_equal(v2, % 43.29/6.38 | eta) | has_immunity(v0, v1)) % 43.29/6.38 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (age(v0, v1) = v2) | ~ % 43.29/6.38 | $i(v1) | ~ $i(v0) | ~ has_immunity(v0, v1) | ~ has_endowment(v0) | % 43.29/6.38 | ~ greater(v2, eta)) % 43.29/6.38 | % 43.29/6.38 | ALPHA: (definition_2) implies: % 43.29/6.38 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ % 43.29/6.38 | $i(v0) | ~ is_aligned(v0, v2) | ~ is_aligned(v0, v1) | ~ % 43.29/6.38 | dissimilar(v0, v1, v2)) % 43.29/6.38 | % 43.29/6.38 | ALPHA: (assumption_13) implies: % 43.29/6.38 | (6) ! [v0: $i] : ! [v1: $i] : ( ~ (age(v0, v1) = zero) | ~ $i(v1) | ~ % 43.29/6.38 | $i(v0) | ~ organization(v0) | is_aligned(v0, v1)) % 43.29/6.38 | % 43.29/6.38 | ALPHA: (assumption_15) implies: % 43.29/6.38 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (age(v0, % 43.29/6.38 | v2) = v3) | ~ (age(v0, v1) = zero) | ~ $i(v2) | ~ $i(v1) | ~ % 43.29/6.38 | $i(v0) | ~ organization(v0) | ~ greater(v3, sigma) | dissimilar(v0, % 43.29/6.38 | v1, v2)) % 43.29/6.38 | % 43.29/6.39 | ALPHA: (assumption_17) implies: % 43.29/6.39 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = very_low | ~ % 43.29/6.39 | (hazard_of_mortality(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ~ % 43.29/6.39 | has_immunity(v0, v1) | ~ organization(v0)) % 43.29/6.39 | (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = mod1 | ~ % 43.29/6.39 | (hazard_of_mortality(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ~ % 43.29/6.39 | positional_advantage(v0, v1) | ~ organization(v0) | is_aligned(v0, % 43.29/6.39 | v1) | has_immunity(v0, v1)) % 43.29/6.39 | (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = high | ~ % 43.29/6.39 | (hazard_of_mortality(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ~ % 43.29/6.39 | organization(v0) | positional_advantage(v0, v1) | is_aligned(v0, v1) % 43.29/6.39 | | has_immunity(v0, v1)) % 43.29/6.39 | % 43.29/6.39 | ALPHA: (assumption_18b) implies: % 43.29/6.39 | (11) greater(mod1, low) % 43.29/6.39 | (12) $i(mod1) % 43.29/6.39 | % 43.29/6.39 | ALPHA: (assumption_18c) implies: % 43.29/6.39 | (13) greater(low, very_low) % 43.29/6.39 | (14) $i(very_low) % 43.29/6.39 | % 43.29/6.39 | ALPHA: (assumption_18d) implies: % 43.29/6.39 | (15) greater(high, mod2) % 43.29/6.39 | (16) $i(high) % 43.29/6.39 | % 43.29/6.39 | ALPHA: (assumption_18e) implies: % 43.29/6.39 | (17) greater(mod2, low) % 43.29/6.39 | (18) $i(low) % 43.29/6.39 | (19) $i(mod2) % 43.29/6.39 | % 43.29/6.39 | ALPHA: (theorem_11) implies: % 43.29/6.40 | (20) $i(eta) % 43.29/6.40 | (21) $i(zero) % 43.78/6.40 | (22) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 43.78/6.40 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : % 43.78/6.40 | (hazard_of_mortality(v0, v2) = v7 & age(v0, v3) = v5 & age(v0, v2) = % 43.78/6.40 | v4 & age(v0, v1) = zero & $i(v7) & $i(v5) & $i(v4) & $i(v3) & $i(v2) % 43.78/6.40 | & $i(v1) & $i(v0) & organization(v0) & has_endowment(v0) & % 43.78/6.40 | greater(v5, tau) & greater(v5, sigma) & greater(v5, eta) & % 43.78/6.40 | greater(tau, zero) & greater(sigma, zero) & greater(eta, zero) & % 43.78/6.40 | smaller_or_equal(v4, tau) & smaller_or_equal(v4, sigma) & % 43.78/6.40 | smaller_or_equal(v4, eta) & (fragile_position(v0) | % 43.78/6.40 | robust_position(v0)) & (( ~ (v8 = v7) & hazard_of_mortality(v0, % 43.78/6.40 | v1) = v8 & $i(v8)) | (hazard_of_mortality(v0, v3) = v6 & % 43.78/6.40 | $i(v6) & ~ greater(v6, v7)))) % 43.78/6.40 | % 43.78/6.40 | DELTA: instantiating (22) with fresh symbols all_22_0, all_22_1, all_22_2, % 43.78/6.40 | all_22_3, all_22_4, all_22_5, all_22_6, all_22_7, all_22_8 gives: % 43.78/6.41 | (23) hazard_of_mortality(all_22_8, all_22_6) = all_22_1 & age(all_22_8, % 43.78/6.41 | all_22_5) = all_22_3 & age(all_22_8, all_22_6) = all_22_4 & % 43.78/6.41 | age(all_22_8, all_22_7) = zero & $i(all_22_1) & $i(all_22_3) & % 43.78/6.41 | $i(all_22_4) & $i(all_22_5) & $i(all_22_6) & $i(all_22_7) & % 43.78/6.41 | $i(all_22_8) & organization(all_22_8) & has_endowment(all_22_8) & % 43.78/6.41 | greater(all_22_3, tau) & greater(all_22_3, sigma) & greater(all_22_3, % 43.78/6.41 | eta) & greater(tau, zero) & greater(sigma, zero) & greater(eta, % 43.78/6.41 | zero) & smaller_or_equal(all_22_4, tau) & smaller_or_equal(all_22_4, % 43.78/6.41 | sigma) & smaller_or_equal(all_22_4, eta) & % 43.78/6.41 | (fragile_position(all_22_8) | robust_position(all_22_8)) & (( ~ % 43.78/6.41 | (all_22_0 = all_22_1) & hazard_of_mortality(all_22_8, all_22_7) = % 43.78/6.41 | all_22_0 & $i(all_22_0)) | (hazard_of_mortality(all_22_8, % 43.78/6.41 | all_22_5) = all_22_2 & $i(all_22_2) & ~ greater(all_22_2, % 43.78/6.41 | all_22_1))) % 43.78/6.41 | % 43.78/6.41 | ALPHA: (23) implies: % 43.78/6.41 | (24) smaller_or_equal(all_22_4, eta) % 43.78/6.41 | (25) greater(eta, zero) % 43.78/6.41 | (26) greater(all_22_3, eta) % 43.78/6.41 | (27) greater(all_22_3, sigma) % 43.78/6.41 | (28) has_endowment(all_22_8) % 43.78/6.41 | (29) organization(all_22_8) % 43.78/6.41 | (30) $i(all_22_8) % 43.78/6.41 | (31) $i(all_22_7) % 43.78/6.41 | (32) $i(all_22_6) % 43.78/6.41 | (33) $i(all_22_5) % 43.78/6.41 | (34) age(all_22_8, all_22_7) = zero % 43.78/6.41 | (35) age(all_22_8, all_22_6) = all_22_4 % 43.78/6.41 | (36) age(all_22_8, all_22_5) = all_22_3 % 43.78/6.41 | (37) hazard_of_mortality(all_22_8, all_22_6) = all_22_1 % 43.78/6.41 | (38) ( ~ (all_22_0 = all_22_1) & hazard_of_mortality(all_22_8, all_22_7) = % 43.78/6.41 | all_22_0 & $i(all_22_0)) | (hazard_of_mortality(all_22_8, all_22_5) % 43.78/6.41 | = all_22_2 & $i(all_22_2) & ~ greater(all_22_2, all_22_1)) % 43.78/6.41 | % 43.78/6.41 | GROUND_INST: instantiating (2) with zero, eta, simplifying with (20), (21), % 43.78/6.41 | (25) gives: % 43.78/6.41 | (39) smaller(zero, eta) % 43.78/6.41 | % 43.78/6.42 | GROUND_INST: instantiating (meaning_postulate_greater_transitive) with mod1, % 43.78/6.42 | low, very_low, simplifying with (11), (12), (13), (14), (18) % 43.78/6.42 | gives: % 43.78/6.42 | (40) greater(mod1, very_low) % 43.78/6.42 | % 43.78/6.42 | GROUND_INST: instantiating (meaning_postulate_greater_transitive) with high, % 43.78/6.42 | low, very_low, simplifying with (13), (14), (16), (18) gives: % 43.78/6.42 | (41) ~ greater(high, low) | greater(high, very_low) % 43.78/6.42 | % 43.78/6.42 | GROUND_INST: instantiating (meaning_postulate_greater_transitive) with high, % 43.78/6.42 | mod2, low, simplifying with (15), (16), (17), (18), (19) gives: % 43.78/6.42 | (42) greater(high, low) % 43.78/6.42 | % 43.78/6.42 | GROUND_INST: instantiating (3) with all_22_8, all_22_7, zero, simplifying with % 43.78/6.42 | (28), (30), (31), (34) gives: % 43.78/6.42 | (43) ~ smaller_or_equal(zero, eta) | has_immunity(all_22_8, all_22_7) % 43.78/6.42 | % 43.78/6.42 | GROUND_INST: instantiating (6) with all_22_8, all_22_7, simplifying with (29), % 43.78/6.42 | (30), (31), (34) gives: % 43.78/6.42 | (44) is_aligned(all_22_8, all_22_7) % 43.78/6.42 | % 43.78/6.42 | GROUND_INST: instantiating (3) with all_22_8, all_22_6, all_22_4, simplifying % 43.78/6.42 | with (24), (28), (30), (32), (35) gives: % 43.78/6.42 | (45) has_immunity(all_22_8, all_22_6) % 43.78/6.42 | % 43.78/6.42 | GROUND_INST: instantiating (7) with all_22_8, all_22_7, all_22_5, all_22_3, % 43.78/6.42 | simplifying with (27), (29), (30), (31), (33), (34), (36) gives: % 43.78/6.42 | (46) dissimilar(all_22_8, all_22_7, all_22_5) % 43.78/6.42 | % 43.78/6.42 | BETA: splitting (41) gives: % 43.78/6.42 | % 43.78/6.42 | Case 1: % 43.78/6.42 | | % 43.78/6.42 | | (47) ~ greater(high, low) % 43.78/6.42 | | % 43.78/6.42 | | PRED_UNIFY: (42), (47) imply: % 43.78/6.42 | | (48) $false % 43.78/6.43 | | % 43.78/6.43 | | CLOSE: (48) is inconsistent. % 43.78/6.43 | | % 43.78/6.43 | Case 2: % 43.78/6.43 | | % 43.78/6.43 | | (49) greater(high, very_low) % 43.78/6.43 | | % 43.78/6.43 | | GROUND_INST: instantiating (1) with zero, eta, simplifying with (20), (21), % 43.78/6.43 | | (39) gives: % 43.78/6.43 | | (50) smaller_or_equal(zero, eta) % 43.78/6.43 | | % 43.78/6.43 | | GROUND_INST: instantiating (8) with all_22_8, all_22_6, all_22_1, % 43.78/6.43 | | simplifying with (29), (30), (32), (37), (45) gives: % 43.78/6.43 | | (51) all_22_1 = very_low % 43.78/6.43 | | % 43.78/6.43 | | BETA: splitting (43) gives: % 43.78/6.43 | | % 43.78/6.43 | | Case 1: % 43.78/6.43 | | | % 43.78/6.43 | | | (52) ~ smaller_or_equal(zero, eta) % 43.78/6.43 | | | % 43.78/6.43 | | | PRED_UNIFY: (50), (52) imply: % 43.78/6.43 | | | (53) $false % 43.78/6.43 | | | % 43.78/6.43 | | | CLOSE: (53) is inconsistent. % 43.78/6.43 | | | % 43.78/6.43 | | Case 2: % 43.78/6.43 | | | % 43.78/6.43 | | | (54) has_immunity(all_22_8, all_22_7) % 43.78/6.43 | | | % 43.78/6.43 | | | BETA: splitting (38) gives: % 43.78/6.43 | | | % 43.78/6.43 | | | Case 1: % 43.78/6.43 | | | | % 43.78/6.43 | | | | (55) ~ (all_22_0 = all_22_1) & hazard_of_mortality(all_22_8, % 43.78/6.43 | | | | all_22_7) = all_22_0 & $i(all_22_0) % 43.78/6.43 | | | | % 43.78/6.43 | | | | ALPHA: (55) implies: % 43.78/6.43 | | | | (56) ~ (all_22_0 = all_22_1) % 43.78/6.43 | | | | (57) hazard_of_mortality(all_22_8, all_22_7) = all_22_0 % 43.78/6.43 | | | | % 43.78/6.43 | | | | REDUCE: (51), (56) imply: % 43.78/6.43 | | | | (58) ~ (all_22_0 = very_low) % 43.78/6.43 | | | | % 43.78/6.43 | | | | GROUND_INST: instantiating (8) with all_22_8, all_22_7, all_22_0, % 43.78/6.43 | | | | simplifying with (29), (30), (31), (54), (57) gives: % 43.78/6.43 | | | | (59) all_22_0 = very_low % 43.78/6.43 | | | | % 43.78/6.43 | | | | REDUCE: (58), (59) imply: % 43.78/6.43 | | | | (60) $false % 43.78/6.43 | | | | % 43.78/6.43 | | | | CLOSE: (60) is inconsistent. % 43.78/6.43 | | | | % 43.78/6.43 | | | Case 2: % 43.78/6.43 | | | | % 43.78/6.44 | | | | (61) hazard_of_mortality(all_22_8, all_22_5) = all_22_2 & % 43.78/6.44 | | | | $i(all_22_2) & ~ greater(all_22_2, all_22_1) % 43.78/6.44 | | | | % 43.78/6.44 | | | | ALPHA: (61) implies: % 43.78/6.44 | | | | (62) ~ greater(all_22_2, all_22_1) % 43.78/6.44 | | | | (63) hazard_of_mortality(all_22_8, all_22_5) = all_22_2 % 43.78/6.44 | | | | % 43.78/6.44 | | | | REDUCE: (51), (62) imply: % 43.78/6.44 | | | | (64) ~ greater(all_22_2, very_low) % 43.78/6.44 | | | | % 43.78/6.44 | | | | PRED_UNIFY: (49), (64) imply: % 43.78/6.44 | | | | (65) ~ (all_22_2 = high) % 43.78/6.44 | | | | % 43.78/6.44 | | | | PRED_UNIFY: (40), (64) imply: % 43.78/6.44 | | | | (66) ~ (all_22_2 = mod1) % 43.78/6.44 | | | | % 43.78/6.44 | | | | GROUND_INST: instantiating (10) with all_22_8, all_22_5, all_22_2, % 43.78/6.44 | | | | simplifying with (29), (30), (33), (63) gives: % 43.78/6.44 | | | | (67) all_22_2 = high | positional_advantage(all_22_8, all_22_5) | % 43.78/6.44 | | | | is_aligned(all_22_8, all_22_5) | has_immunity(all_22_8, % 43.78/6.44 | | | | all_22_5) % 43.78/6.44 | | | | % 43.78/6.44 | | | | BETA: splitting (67) gives: % 43.78/6.44 | | | | % 43.78/6.44 | | | | Case 1: % 43.78/6.44 | | | | | % 43.78/6.44 | | | | | (68) positional_advantage(all_22_8, all_22_5) % 43.78/6.44 | | | | | % 43.78/6.44 | | | | | GROUND_INST: instantiating (9) with all_22_8, all_22_5, all_22_2, % 43.78/6.44 | | | | | simplifying with (29), (30), (33), (63), (68) gives: % 43.78/6.44 | | | | | (69) all_22_2 = mod1 | is_aligned(all_22_8, all_22_5) | % 43.78/6.44 | | | | | has_immunity(all_22_8, all_22_5) % 43.78/6.44 | | | | | % 43.78/6.44 | | | | | BETA: splitting (69) gives: % 43.78/6.44 | | | | | % 43.78/6.44 | | | | | Case 1: % 43.78/6.44 | | | | | | % 43.78/6.44 | | | | | | (70) is_aligned(all_22_8, all_22_5) % 43.78/6.44 | | | | | | % 43.78/6.44 | | | | | | GROUND_INST: instantiating (5) with all_22_8, all_22_7, all_22_5, % 43.78/6.44 | | | | | | simplifying with (30), (31), (33), (44), (46), (70) % 43.78/6.44 | | | | | | gives: % 43.78/6.44 | | | | | | (71) $false % 43.78/6.44 | | | | | | % 43.78/6.44 | | | | | | CLOSE: (71) is inconsistent. % 43.78/6.44 | | | | | | % 43.78/6.44 | | | | | Case 2: % 43.78/6.44 | | | | | | % 43.78/6.44 | | | | | | (72) all_22_2 = mod1 | has_immunity(all_22_8, all_22_5) % 43.78/6.44 | | | | | | % 43.78/6.44 | | | | | | BETA: splitting (72) gives: % 43.78/6.44 | | | | | | % 43.78/6.44 | | | | | | Case 1: % 43.78/6.44 | | | | | | | % 43.78/6.44 | | | | | | | (73) has_immunity(all_22_8, all_22_5) % 43.78/6.45 | | | | | | | % 43.78/6.45 | | | | | | | GROUND_INST: instantiating (4) with all_22_8, all_22_5, all_22_3, % 43.78/6.45 | | | | | | | simplifying with (26), (28), (30), (33), (36), (73) % 43.78/6.45 | | | | | | | gives: % 43.78/6.45 | | | | | | | (74) $false % 43.78/6.45 | | | | | | | % 43.78/6.45 | | | | | | | CLOSE: (74) is inconsistent. % 43.78/6.45 | | | | | | | % 43.78/6.45 | | | | | | Case 2: % 43.78/6.45 | | | | | | | % 43.78/6.45 | | | | | | | (75) all_22_2 = mod1 % 43.78/6.45 | | | | | | | % 43.78/6.45 | | | | | | | REDUCE: (66), (75) imply: % 43.78/6.45 | | | | | | | (76) $false % 43.78/6.45 | | | | | | | % 43.78/6.45 | | | | | | | CLOSE: (76) is inconsistent. % 43.78/6.45 | | | | | | | % 43.78/6.45 | | | | | | End of split % 43.78/6.45 | | | | | | % 43.78/6.45 | | | | | End of split % 43.78/6.45 | | | | | % 43.78/6.45 | | | | Case 2: % 43.78/6.45 | | | | | % 43.78/6.45 | | | | | (77) all_22_2 = high | is_aligned(all_22_8, all_22_5) | % 43.78/6.45 | | | | | has_immunity(all_22_8, all_22_5) % 43.78/6.45 | | | | | % 43.78/6.45 | | | | | BETA: splitting (77) gives: % 43.78/6.45 | | | | | % 43.78/6.45 | | | | | Case 1: % 43.78/6.45 | | | | | | % 43.78/6.45 | | | | | | (78) is_aligned(all_22_8, all_22_5) % 43.78/6.45 | | | | | | % 43.78/6.45 | | | | | | GROUND_INST: instantiating (5) with all_22_8, all_22_7, all_22_5, % 43.78/6.45 | | | | | | simplifying with (30), (31), (33), (44), (46), (78) % 43.78/6.45 | | | | | | gives: % 43.78/6.45 | | | | | | (79) $false % 43.78/6.45 | | | | | | % 43.78/6.45 | | | | | | CLOSE: (79) is inconsistent. % 43.78/6.45 | | | | | | % 43.78/6.45 | | | | | Case 2: % 43.78/6.45 | | | | | | % 43.78/6.45 | | | | | | (80) all_22_2 = high | has_immunity(all_22_8, all_22_5) % 43.78/6.45 | | | | | | % 43.78/6.45 | | | | | | BETA: splitting (80) gives: % 43.78/6.45 | | | | | | % 43.78/6.45 | | | | | | Case 1: % 43.78/6.45 | | | | | | | % 43.78/6.45 | | | | | | | (81) has_immunity(all_22_8, all_22_5) % 43.78/6.45 | | | | | | | % 43.78/6.45 | | | | | | | GROUND_INST: instantiating (4) with all_22_8, all_22_5, all_22_3, % 43.78/6.45 | | | | | | | simplifying with (26), (28), (30), (33), (36), (81) % 43.78/6.45 | | | | | | | gives: % 43.78/6.45 | | | | | | | (82) $false % 43.78/6.45 | | | | | | | % 43.78/6.45 | | | | | | | CLOSE: (82) is inconsistent. % 43.78/6.45 | | | | | | | % 43.78/6.45 | | | | | | Case 2: % 43.78/6.45 | | | | | | | % 43.78/6.45 | | | | | | | (83) all_22_2 = high % 43.78/6.45 | | | | | | | % 43.78/6.45 | | | | | | | REDUCE: (65), (83) imply: % 43.78/6.45 | | | | | | | (84) $false % 43.78/6.45 | | | | | | | % 43.78/6.45 | | | | | | | CLOSE: (84) is inconsistent. % 43.78/6.45 | | | | | | | % 43.78/6.45 | | | | | | End of split % 43.78/6.45 | | | | | | % 43.78/6.45 | | | | | End of split % 43.78/6.45 | | | | | % 43.78/6.45 | | | | End of split % 43.78/6.45 | | | | % 43.78/6.45 | | | End of split % 43.78/6.45 | | | % 43.78/6.45 | | End of split % 43.78/6.45 | | % 43.78/6.45 | End of split % 43.78/6.45 | % 43.78/6.45 End of proof % 43.78/6.46 % SZS output end Proof for theBenchmark % 43.78/6.46 % 43.78/6.46 5766ms %------------------------------------------------------------------------------