%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SEU154+2 : TPTP v8.1.2. Released v3.3.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n011.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Thu Aug 31 17:42:50 EDT 2023 % Result : Theorem 11.16s 2.38s % Output : Proof 14.90s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU154+2 : TPTP v8.1.2. Released v3.3.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n011.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 : Wed Aug 23 20:29:37 EDT 2023 % 0.13/0.34 % 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/sandbox2/benchmark/theBenchmark.p ... % 0.19/0.62 Running up to 7 provers in parallel. % 0.19/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.19/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.19/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.19/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.19/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.19/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.19/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.28/1.16 Prover 4: Preprocessing ... % 3.28/1.16 Prover 1: Preprocessing ... % 3.56/1.20 Prover 3: Preprocessing ... % 3.56/1.20 Prover 0: Preprocessing ... % 3.56/1.20 Prover 2: Preprocessing ... % 3.56/1.20 Prover 6: Preprocessing ... % 3.56/1.20 Prover 5: Preprocessing ... % 8.66/1.91 Prover 5: Proving ... % 9.01/1.95 Prover 1: Warning: ignoring some quantifiers % 9.01/2.04 Prover 1: Constructing countermodel ... % 9.74/2.05 Prover 6: Proving ... % 10.12/2.10 Prover 3: Warning: ignoring some quantifiers % 10.12/2.14 Prover 3: Constructing countermodel ... % 10.51/2.17 Prover 4: Warning: ignoring some quantifiers % 10.51/2.21 Prover 2: Proving ... % 10.51/2.22 Prover 0: Proving ... % 10.51/2.25 Prover 4: Constructing countermodel ... % 11.16/2.38 Prover 3: proved (1746ms) % 11.16/2.38 % 11.16/2.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 11.16/2.38 % 11.16/2.38 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 11.16/2.38 Prover 0: stopped % 11.16/2.39 Prover 6: stopped % 11.16/2.39 Prover 5: stopped % 11.16/2.40 Prover 2: stopped % 12.27/2.41 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 12.27/2.41 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 12.27/2.41 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 12.27/2.41 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 12.27/2.46 Prover 7: Preprocessing ... % 12.27/2.48 Prover 10: Preprocessing ... % 12.27/2.49 Prover 13: Preprocessing ... % 13.06/2.52 Prover 11: Preprocessing ... % 13.06/2.52 Prover 8: Preprocessing ... % 13.06/2.56 Prover 1: Found proof (size 77) % 13.06/2.56 Prover 1: proved (1934ms) % 13.06/2.56 Prover 4: stopped % 13.06/2.59 Prover 13: stopped % 13.75/2.61 Prover 11: stopped % 13.75/2.63 Prover 10: Warning: ignoring some quantifiers % 13.75/2.63 Prover 7: Warning: ignoring some quantifiers % 13.75/2.65 Prover 10: Constructing countermodel ... % 13.75/2.65 Prover 7: Constructing countermodel ... % 13.75/2.66 Prover 10: stopped % 13.75/2.67 Prover 7: stopped % 13.75/2.68 Prover 8: Warning: ignoring some quantifiers % 14.36/2.70 Prover 8: Constructing countermodel ... % 14.36/2.71 Prover 8: stopped % 14.36/2.71 % 14.36/2.71 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 14.36/2.71 % 14.36/2.72 % SZS output start Proof for theBenchmark % 14.36/2.73 Assumptions after simplification: % 14.36/2.73 --------------------------------- % 14.36/2.73 % 14.36/2.73 (d1_tarski) % 14.36/2.77 ? [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v0 | ~ (singleton(v1) = v2) | % 14.36/2.77 ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: any] : (in(v3, v0) = v4 & % 14.36/2.77 $i(v3) & ( ~ (v4 = 0) | ~ (v3 = v1)) & (v4 = 0 | v3 = v1))) & ! [v0: $i] % 14.36/2.77 : ! [v1: $i] : ( ~ (singleton(v0) = v1) | ~ $i(v1) | ~ $i(v0) | ( ! [v2: % 14.36/2.77 $i] : (v2 = v0 | ~ (in(v2, v1) = 0) | ~ $i(v2)) & ! [v2: int] : (v2 = % 14.36/2.77 0 | ~ (in(v0, v1) = v2)))) % 14.36/2.77 % 14.36/2.77 (d3_xboole_0) % 14.36/2.77 ? [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~ % 14.36/2.77 (set_intersection2(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? % 14.36/2.77 [v4: $i] : ? [v5: any] : ? [v6: any] : ? [v7: any] : (in(v4, v2) = v7 & % 14.36/2.77 in(v4, v1) = v6 & in(v4, v0) = v5 & $i(v4) & ( ~ (v7 = 0) | ~ (v6 = 0) | % 14.36/2.77 ~ (v5 = 0)) & (v5 = 0 | (v7 = 0 & v6 = 0)))) & ! [v0: $i] : ! [v1: $i] % 14.36/2.77 : ! [v2: $i] : ( ~ (set_intersection2(v0, v1) = v2) | ~ $i(v2) | ~ $i(v1) | % 14.36/2.77 ~ $i(v0) | ( ! [v3: $i] : ! [v4: any] : ( ~ (in(v3, v0) = v4) | ~ $i(v3) % 14.36/2.77 | ? [v5: any] : ? [v6: any] : (in(v3, v2) = v5 & in(v3, v1) = v6 & ( ~ % 14.36/2.77 (v5 = 0) | (v6 = 0 & v4 = 0)))) & ! [v3: $i] : ( ~ (in(v3, v0) = 0) % 14.36/2.77 | ~ $i(v3) | ? [v4: any] : ? [v5: any] : (in(v3, v2) = v5 & in(v3, % 14.36/2.77 v1) = v4 & ( ~ (v4 = 0) | v5 = 0))))) % 14.36/2.77 % 14.36/2.77 (d4_xboole_0) % 14.36/2.78 ? [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~ % 14.36/2.78 (set_difference(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: % 14.36/2.78 $i] : ? [v5: any] : ? [v6: any] : ? [v7: any] : (in(v4, v2) = v7 & % 14.36/2.78 in(v4, v1) = v6 & in(v4, v0) = v5 & $i(v4) & ( ~ (v6 = 0) | ~ (v5 = 0) | % 14.36/2.78 v7 = 0) & (v5 = 0 | (v6 = 0 & ~ (v7 = 0))))) & ! [v0: $i] : ! [v1: % 14.36/2.78 $i] : ! [v2: $i] : ( ~ (set_difference(v0, v1) = v2) | ~ $i(v2) | ~ % 14.36/2.78 $i(v1) | ~ $i(v0) | ( ! [v3: $i] : ! [v4: any] : ( ~ (in(v3, v0) = v4) | % 14.36/2.78 ~ $i(v3) | ? [v5: any] : ? [v6: any] : (in(v3, v2) = v5 & in(v3, v1) = % 14.36/2.78 v6 & ( ~ (v5 = 0) | (v4 = 0 & ~ (v6 = 0))))) & ! [v3: $i] : ( ~ % 14.36/2.78 (in(v3, v0) = 0) | ~ $i(v3) | ? [v4: any] : ? [v5: any] : (in(v3, v2) % 14.36/2.78 = v5 & in(v3, v1) = v4 & (v5 = 0 | v4 = 0))))) % 14.36/2.78 % 14.36/2.78 (d7_xboole_0) % 14.36/2.78 $i(empty_set) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ % 14.36/2.78 (disjoint(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ( ~ (v3 = % 14.36/2.78 empty_set) & set_intersection2(v0, v1) = v3 & $i(v3))) & ! [v0: $i] : % 14.36/2.78 ! [v1: $i] : ( ~ (disjoint(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | % 14.36/2.78 set_intersection2(v0, v1) = empty_set) % 14.36/2.78 % 14.36/2.78 (l28_zfmisc_1) % 14.36/2.78 ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ? [v3: $i] : ? [v4: int] : ( ~ % 14.36/2.78 (v4 = 0) & ~ (v2 = 0) & disjoint(v3, v1) = v4 & singleton(v0) = v3 & in(v0, % 14.36/2.78 v1) = v2 & $i(v3) & $i(v1) & $i(v0)) % 14.36/2.78 % 14.36/2.78 (t3_xboole_0) % 14.36/2.78 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (disjoint(v0, v1) = % 14.36/2.78 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : (in(v3, v1) = 0 & in(v3, v0) = % 14.36/2.78 0 & $i(v3))) & ! [v0: $i] : ! [v1: $i] : ( ~ (disjoint(v0, v1) = 0) | ~ % 14.36/2.78 $i(v1) | ~ $i(v0) | ! [v2: $i] : ( ~ (in(v2, v0) = 0) | ~ $i(v2) | ? % 14.36/2.78 [v3: int] : ( ~ (v3 = 0) & in(v2, v1) = v3))) % 14.36/2.78 % 14.36/2.78 (t4_xboole_0) % 14.36/2.78 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (disjoint(v0, v1) = % 14.36/2.78 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : (set_intersection2(v0, v1) = % 14.36/2.78 v3 & $i(v3) & ? [v4: $i] : (in(v4, v3) = 0 & $i(v4)))) & ! [v0: $i] : ! % 14.36/2.78 [v1: $i] : ( ~ (disjoint(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] : % 14.36/2.78 (set_intersection2(v0, v1) = v2 & $i(v2) & ! [v3: $i] : ( ~ (in(v3, v2) = % 14.36/2.78 0) | ~ $i(v3)))) % 14.36/2.78 % 14.36/2.78 (t83_xboole_1) % 14.36/2.78 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (disjoint(v0, v1) = % 14.36/2.78 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ( ~ (v3 = v0) & % 14.36/2.78 set_difference(v0, v1) = v3 & $i(v3))) & ! [v0: $i] : ! [v1: $i] : ( ~ % 14.36/2.78 (disjoint(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | set_difference(v0, v1) = % 14.36/2.78 v0) % 14.36/2.78 % 14.36/2.78 (function-axioms) % 14.36/2.78 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 14.36/2.78 [v3: $i] : (v1 = v0 | ~ (disjoint(v3, v2) = v1) | ~ (disjoint(v3, v2) = v0)) % 14.36/2.78 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 14.36/2.78 (set_difference(v3, v2) = v1) | ~ (set_difference(v3, v2) = v0)) & ! [v0: % 14.36/2.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 14.36/2.78 : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0)) & ! [v0: % 14.36/2.78 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 14.36/2.78 (set_intersection2(v3, v2) = v1) | ~ (set_intersection2(v3, v2) = v0)) & ! % 14.36/2.78 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 14.36/2.78 (set_union2(v3, v2) = v1) | ~ (set_union2(v3, v2) = v0)) & ! [v0: $i] : ! % 14.36/2.78 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (unordered_pair(v3, v2) = % 14.36/2.78 v1) | ~ (unordered_pair(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! % 14.36/2.78 [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 14.36/2.78 (proper_subset(v3, v2) = v1) | ~ (proper_subset(v3, v2) = v0)) & ! [v0: % 14.36/2.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 14.36/2.78 : (v1 = v0 | ~ (in(v3, v2) = v1) | ~ (in(v3, v2) = v0)) & ! [v0: % 14.36/2.79 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 14.36/2.79 ~ (empty(v2) = v1) | ~ (empty(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! % 14.36/2.79 [v2: $i] : (v1 = v0 | ~ (powerset(v2) = v1) | ~ (powerset(v2) = v0)) & ! % 14.36/2.79 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (singleton(v2) = v1) | ~ % 14.36/2.79 (singleton(v2) = v0)) % 14.36/2.79 % 14.36/2.79 Further assumptions not needed in the proof: % 14.36/2.79 -------------------------------------------- % 14.36/2.79 antisymmetry_r2_hidden, antisymmetry_r2_xboole_0, commutativity_k2_tarski, % 14.36/2.79 commutativity_k2_xboole_0, commutativity_k3_xboole_0, d10_xboole_0, d1_xboole_0, % 14.36/2.79 d1_zfmisc_1, d2_tarski, d2_xboole_0, d3_tarski, d8_xboole_0, dt_k1_tarski, % 14.36/2.79 dt_k1_xboole_0, dt_k1_zfmisc_1, dt_k2_tarski, dt_k2_xboole_0, dt_k3_xboole_0, % 14.36/2.79 dt_k4_xboole_0, fc1_xboole_0, fc2_xboole_0, fc3_xboole_0, % 14.36/2.79 idempotence_k2_xboole_0, idempotence_k3_xboole_0, irreflexivity_r2_xboole_0, % 14.36/2.79 l1_zfmisc_1, l23_zfmisc_1, l25_zfmisc_1, l2_zfmisc_1, l32_xboole_1, l3_zfmisc_1, % 14.36/2.79 l4_zfmisc_1, rc1_xboole_0, rc2_xboole_0, reflexivity_r1_tarski, % 14.36/2.79 symmetry_r1_xboole_0, t10_zfmisc_1, t12_xboole_1, t17_xboole_1, t19_xboole_1, % 14.36/2.79 t1_boole, t1_xboole_1, t1_zfmisc_1, t26_xboole_1, t28_xboole_1, t2_boole, % 14.36/2.79 t2_tarski, t2_xboole_1, t33_xboole_1, t36_xboole_1, t37_xboole_1, t39_xboole_1, % 14.36/2.79 t3_boole, t3_xboole_1, t40_xboole_1, t45_xboole_1, t48_xboole_1, t4_boole, % 14.36/2.79 t60_xboole_1, t63_xboole_1, t69_enumset1, t6_boole, t6_zfmisc_1, t7_boole, % 14.36/2.79 t7_xboole_1, t8_boole, t8_xboole_1, t8_zfmisc_1, t9_zfmisc_1 % 14.36/2.79 % 14.36/2.79 Those formulas are unsatisfiable: % 14.36/2.79 --------------------------------- % 14.36/2.79 % 14.36/2.79 Begin of proof % 14.36/2.79 | % 14.36/2.79 | ALPHA: (d1_tarski) implies: % 14.36/2.79 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ (singleton(v0) = v1) | ~ $i(v1) | ~ % 14.36/2.79 | $i(v0) | ( ! [v2: $i] : (v2 = v0 | ~ (in(v2, v1) = 0) | ~ $i(v2)) & % 14.36/2.79 | ! [v2: int] : (v2 = 0 | ~ (in(v0, v1) = v2)))) % 14.36/2.79 | % 14.36/2.79 | ALPHA: (d3_xboole_0) implies: % 14.84/2.79 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (set_intersection2(v0, % 14.84/2.79 | v1) = v2) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ( ! [v3: $i] : ! % 14.84/2.79 | [v4: any] : ( ~ (in(v3, v0) = v4) | ~ $i(v3) | ? [v5: any] : ? % 14.84/2.79 | [v6: any] : (in(v3, v2) = v5 & in(v3, v1) = v6 & ( ~ (v5 = 0) | % 14.84/2.79 | (v6 = 0 & v4 = 0)))) & ! [v3: $i] : ( ~ (in(v3, v0) = 0) | % 14.84/2.79 | ~ $i(v3) | ? [v4: any] : ? [v5: any] : (in(v3, v2) = v5 & % 14.84/2.79 | in(v3, v1) = v4 & ( ~ (v4 = 0) | v5 = 0))))) % 14.84/2.79 | % 14.84/2.79 | ALPHA: (d4_xboole_0) implies: % 14.84/2.79 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (set_difference(v0, v1) = % 14.84/2.79 | v2) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ( ! [v3: $i] : ! [v4: % 14.84/2.79 | any] : ( ~ (in(v3, v0) = v4) | ~ $i(v3) | ? [v5: any] : ? [v6: % 14.84/2.79 | any] : (in(v3, v2) = v5 & in(v3, v1) = v6 & ( ~ (v5 = 0) | (v4 % 14.84/2.79 | = 0 & ~ (v6 = 0))))) & ! [v3: $i] : ( ~ (in(v3, v0) = 0) % 14.84/2.79 | | ~ $i(v3) | ? [v4: any] : ? [v5: any] : (in(v3, v2) = v5 & % 14.84/2.79 | in(v3, v1) = v4 & (v5 = 0 | v4 = 0))))) % 14.84/2.79 | % 14.84/2.79 | ALPHA: (d7_xboole_0) implies: % 14.84/2.79 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (disjoint(v0, % 14.84/2.79 | v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ( ~ (v3 = % 14.84/2.79 | empty_set) & set_intersection2(v0, v1) = v3 & $i(v3))) % 14.84/2.79 | % 14.84/2.79 | ALPHA: (t3_xboole_0) implies: % 14.84/2.79 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (disjoint(v0, % 14.84/2.79 | v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : (in(v3, v1) = 0 % 14.84/2.79 | & in(v3, v0) = 0 & $i(v3))) % 14.84/2.79 | % 14.84/2.79 | ALPHA: (t4_xboole_0) implies: % 14.84/2.79 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (disjoint(v0, % 14.84/2.79 | v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : % 14.84/2.79 | (set_intersection2(v0, v1) = v3 & $i(v3) & ? [v4: $i] : (in(v4, v3) % 14.84/2.79 | = 0 & $i(v4)))) % 14.84/2.79 | % 14.84/2.79 | ALPHA: (t83_xboole_1) implies: % 14.84/2.79 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (disjoint(v0, % 14.84/2.79 | v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ( ~ (v3 = v0) & % 14.84/2.79 | set_difference(v0, v1) = v3 & $i(v3))) % 14.84/2.79 | % 14.84/2.79 | ALPHA: (function-axioms) implies: % 14.87/2.80 | (8) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 14.87/2.80 | ! [v3: $i] : (v1 = v0 | ~ (in(v3, v2) = v1) | ~ (in(v3, v2) = v0)) % 14.87/2.80 | (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 14.87/2.80 | (set_intersection2(v3, v2) = v1) | ~ (set_intersection2(v3, v2) = % 14.87/2.80 | v0)) % 14.87/2.80 | % 14.87/2.80 | DELTA: instantiating (l28_zfmisc_1) with fresh symbols all_79_0, all_79_1, % 14.87/2.80 | all_79_2, all_79_3, all_79_4 gives: % 14.87/2.80 | (10) ~ (all_79_0 = 0) & ~ (all_79_2 = 0) & disjoint(all_79_1, all_79_3) = % 14.87/2.80 | all_79_0 & singleton(all_79_4) = all_79_1 & in(all_79_4, all_79_3) = % 14.87/2.80 | all_79_2 & $i(all_79_1) & $i(all_79_3) & $i(all_79_4) % 14.87/2.80 | % 14.87/2.80 | ALPHA: (10) implies: % 14.87/2.80 | (11) ~ (all_79_2 = 0) % 14.87/2.80 | (12) ~ (all_79_0 = 0) % 14.87/2.80 | (13) $i(all_79_4) % 14.87/2.80 | (14) $i(all_79_3) % 14.87/2.80 | (15) $i(all_79_1) % 14.87/2.80 | (16) in(all_79_4, all_79_3) = all_79_2 % 14.87/2.80 | (17) singleton(all_79_4) = all_79_1 % 14.87/2.80 | (18) disjoint(all_79_1, all_79_3) = all_79_0 % 14.87/2.80 | % 14.87/2.80 | GROUND_INST: instantiating (1) with all_79_4, all_79_1, simplifying with (13), % 14.87/2.80 | (15), (17) gives: % 14.87/2.80 | (19) ! [v0: any] : (v0 = all_79_4 | ~ (in(v0, all_79_1) = 0) | ~ $i(v0)) % 14.87/2.80 | & ! [v0: int] : (v0 = 0 | ~ (in(all_79_4, all_79_1) = v0)) % 14.87/2.80 | % 14.87/2.80 | ALPHA: (19) implies: % 14.87/2.80 | (20) ! [v0: any] : (v0 = all_79_4 | ~ (in(v0, all_79_1) = 0) | ~ $i(v0)) % 14.87/2.80 | % 14.87/2.80 | GROUND_INST: instantiating (7) with all_79_1, all_79_3, all_79_0, simplifying % 14.87/2.80 | with (14), (15), (18) gives: % 14.87/2.80 | (21) all_79_0 = 0 | ? [v0: any] : ( ~ (v0 = all_79_1) & % 14.87/2.80 | set_difference(all_79_1, all_79_3) = v0 & $i(v0)) % 14.90/2.80 | % 14.90/2.80 | GROUND_INST: instantiating (4) with all_79_1, all_79_3, all_79_0, simplifying % 14.90/2.80 | with (14), (15), (18) gives: % 14.90/2.80 | (22) all_79_0 = 0 | ? [v0: $i] : ( ~ (v0 = empty_set) & % 14.90/2.80 | set_intersection2(all_79_1, all_79_3) = v0 & $i(v0)) % 14.90/2.80 | % 14.90/2.80 | GROUND_INST: instantiating (6) with all_79_1, all_79_3, all_79_0, simplifying % 14.90/2.80 | with (14), (15), (18) gives: % 14.90/2.80 | (23) all_79_0 = 0 | ? [v0: $i] : (set_intersection2(all_79_1, all_79_3) = % 14.90/2.80 | v0 & $i(v0) & ? [v1: $i] : (in(v1, v0) = 0 & $i(v1))) % 14.90/2.80 | % 14.90/2.80 | GROUND_INST: instantiating (5) with all_79_1, all_79_3, all_79_0, simplifying % 14.90/2.80 | with (14), (15), (18) gives: % 14.90/2.80 | (24) all_79_0 = 0 | ? [v0: $i] : (in(v0, all_79_1) = 0 & in(v0, all_79_3) % 14.90/2.80 | = 0 & $i(v0)) % 14.90/2.80 | % 14.90/2.80 | BETA: splitting (24) gives: % 14.90/2.80 | % 14.90/2.81 | Case 1: % 14.90/2.81 | | % 14.90/2.81 | | (25) all_79_0 = 0 % 14.90/2.81 | | % 14.90/2.81 | | REDUCE: (12), (25) imply: % 14.90/2.81 | | (26) $false % 14.90/2.81 | | % 14.90/2.81 | | CLOSE: (26) is inconsistent. % 14.90/2.81 | | % 14.90/2.81 | Case 2: % 14.90/2.81 | | % 14.90/2.81 | | (27) ? [v0: $i] : (in(v0, all_79_1) = 0 & in(v0, all_79_3) = 0 & $i(v0)) % 14.90/2.81 | | % 14.90/2.81 | | DELTA: instantiating (27) with fresh symbol all_107_0 gives: % 14.90/2.81 | | (28) in(all_107_0, all_79_1) = 0 & in(all_107_0, all_79_3) = 0 & % 14.90/2.81 | | $i(all_107_0) % 14.90/2.81 | | % 14.90/2.81 | | ALPHA: (28) implies: % 14.90/2.81 | | (29) $i(all_107_0) % 14.90/2.81 | | (30) in(all_107_0, all_79_3) = 0 % 14.90/2.81 | | (31) in(all_107_0, all_79_1) = 0 % 14.90/2.81 | | % 14.90/2.81 | | BETA: splitting (22) gives: % 14.90/2.81 | | % 14.90/2.81 | | Case 1: % 14.90/2.81 | | | % 14.90/2.81 | | | (32) all_79_0 = 0 % 14.90/2.81 | | | % 14.90/2.81 | | | REDUCE: (12), (32) imply: % 14.90/2.81 | | | (33) $false % 14.90/2.81 | | | % 14.90/2.81 | | | CLOSE: (33) is inconsistent. % 14.90/2.81 | | | % 14.90/2.81 | | Case 2: % 14.90/2.81 | | | % 14.90/2.81 | | | (34) ? [v0: $i] : ( ~ (v0 = empty_set) & set_intersection2(all_79_1, % 14.90/2.81 | | | all_79_3) = v0 & $i(v0)) % 14.90/2.81 | | | % 14.90/2.81 | | | DELTA: instantiating (34) with fresh symbol all_112_0 gives: % 14.90/2.81 | | | (35) ~ (all_112_0 = empty_set) & set_intersection2(all_79_1, all_79_3) % 14.90/2.81 | | | = all_112_0 & $i(all_112_0) % 14.90/2.81 | | | % 14.90/2.81 | | | ALPHA: (35) implies: % 14.90/2.81 | | | (36) set_intersection2(all_79_1, all_79_3) = all_112_0 % 14.90/2.81 | | | % 14.90/2.81 | | | BETA: splitting (23) gives: % 14.90/2.81 | | | % 14.90/2.81 | | | Case 1: % 14.90/2.81 | | | | % 14.90/2.81 | | | | (37) all_79_0 = 0 % 14.90/2.81 | | | | % 14.90/2.81 | | | | REDUCE: (12), (37) imply: % 14.90/2.81 | | | | (38) $false % 14.90/2.81 | | | | % 14.90/2.81 | | | | CLOSE: (38) is inconsistent. % 14.90/2.81 | | | | % 14.90/2.81 | | | Case 2: % 14.90/2.81 | | | | % 14.90/2.81 | | | | (39) ? [v0: $i] : (set_intersection2(all_79_1, all_79_3) = v0 & % 14.90/2.81 | | | | $i(v0) & ? [v1: $i] : (in(v1, v0) = 0 & $i(v1))) % 14.90/2.81 | | | | % 14.90/2.81 | | | | DELTA: instantiating (39) with fresh symbol all_117_0 gives: % 14.90/2.81 | | | | (40) set_intersection2(all_79_1, all_79_3) = all_117_0 & % 14.90/2.81 | | | | $i(all_117_0) & ? [v0: $i] : (in(v0, all_117_0) = 0 & $i(v0)) % 14.90/2.81 | | | | % 14.90/2.81 | | | | ALPHA: (40) implies: % 14.90/2.81 | | | | (41) $i(all_117_0) % 14.90/2.81 | | | | (42) set_intersection2(all_79_1, all_79_3) = all_117_0 % 14.90/2.81 | | | | % 14.90/2.81 | | | | BETA: splitting (21) gives: % 14.90/2.81 | | | | % 14.90/2.81 | | | | Case 1: % 14.90/2.81 | | | | | % 14.90/2.81 | | | | | (43) all_79_0 = 0 % 14.90/2.81 | | | | | % 14.90/2.81 | | | | | REDUCE: (12), (43) imply: % 14.90/2.81 | | | | | (44) $false % 14.90/2.81 | | | | | % 14.90/2.81 | | | | | CLOSE: (44) is inconsistent. % 14.90/2.81 | | | | | % 14.90/2.81 | | | | Case 2: % 14.90/2.81 | | | | | % 14.90/2.81 | | | | | (45) ? [v0: any] : ( ~ (v0 = all_79_1) & set_difference(all_79_1, % 14.90/2.81 | | | | | all_79_3) = v0 & $i(v0)) % 14.90/2.81 | | | | | % 14.90/2.81 | | | | | DELTA: instantiating (45) with fresh symbol all_124_0 gives: % 14.90/2.81 | | | | | (46) ~ (all_124_0 = all_79_1) & set_difference(all_79_1, all_79_3) % 14.90/2.81 | | | | | = all_124_0 & $i(all_124_0) % 14.90/2.81 | | | | | % 14.90/2.81 | | | | | ALPHA: (46) implies: % 14.90/2.81 | | | | | (47) $i(all_124_0) % 14.90/2.81 | | | | | (48) set_difference(all_79_1, all_79_3) = all_124_0 % 14.90/2.81 | | | | | % 14.90/2.81 | | | | | GROUND_INST: instantiating (9) with all_112_0, all_117_0, all_79_3, % 14.90/2.81 | | | | | all_79_1, simplifying with (36), (42) gives: % 14.90/2.81 | | | | | (49) all_117_0 = all_112_0 % 14.90/2.81 | | | | | % 14.90/2.81 | | | | | REDUCE: (41), (49) imply: % 14.90/2.81 | | | | | (50) $i(all_112_0) % 14.90/2.81 | | | | | % 14.90/2.81 | | | | | GROUND_INST: instantiating (20) with all_107_0, simplifying with (29), % 14.90/2.82 | | | | | (31) gives: % 14.90/2.82 | | | | | (51) all_107_0 = all_79_4 % 14.90/2.82 | | | | | % 14.90/2.82 | | | | | GROUND_INST: instantiating (2) with all_79_1, all_79_3, all_112_0, % 14.90/2.82 | | | | | simplifying with (14), (15), (36), (50) gives: % 14.90/2.82 | | | | | (52) ! [v0: $i] : ! [v1: any] : ( ~ (in(v0, all_79_1) = v1) | ~ % 14.90/2.82 | | | | | $i(v0) | ? [v2: any] : ? [v3: any] : (in(v0, all_112_0) = % 14.90/2.82 | | | | | v2 & in(v0, all_79_3) = v3 & ( ~ (v2 = 0) | (v3 = 0 & v1 = % 14.90/2.82 | | | | | 0)))) & ! [v0: $i] : ( ~ (in(v0, all_79_1) = 0) | ~ % 14.90/2.82 | | | | | $i(v0) | ? [v1: any] : ? [v2: any] : (in(v0, all_112_0) = % 14.90/2.82 | | | | | v2 & in(v0, all_79_3) = v1 & ( ~ (v1 = 0) | v2 = 0))) % 14.90/2.82 | | | | | % 14.90/2.82 | | | | | ALPHA: (52) implies: % 14.90/2.82 | | | | | (53) ! [v0: $i] : ( ~ (in(v0, all_79_1) = 0) | ~ $i(v0) | ? [v1: % 14.90/2.82 | | | | | any] : ? [v2: any] : (in(v0, all_112_0) = v2 & in(v0, % 14.90/2.82 | | | | | all_79_3) = v1 & ( ~ (v1 = 0) | v2 = 0))) % 14.90/2.82 | | | | | (54) ! [v0: $i] : ! [v1: any] : ( ~ (in(v0, all_79_1) = v1) | ~ % 14.90/2.82 | | | | | $i(v0) | ? [v2: any] : ? [v3: any] : (in(v0, all_112_0) = % 14.90/2.82 | | | | | v2 & in(v0, all_79_3) = v3 & ( ~ (v2 = 0) | (v3 = 0 & v1 = % 14.90/2.82 | | | | | 0)))) % 14.90/2.82 | | | | | % 14.90/2.82 | | | | | GROUND_INST: instantiating (3) with all_79_1, all_79_3, all_124_0, % 14.90/2.82 | | | | | simplifying with (14), (15), (47), (48) gives: % 14.90/2.82 | | | | | (55) ! [v0: $i] : ! [v1: any] : ( ~ (in(v0, all_79_1) = v1) | ~ % 14.90/2.82 | | | | | $i(v0) | ? [v2: any] : ? [v3: any] : (in(v0, all_124_0) = % 14.90/2.82 | | | | | v2 & in(v0, all_79_3) = v3 & ( ~ (v2 = 0) | (v1 = 0 & ~ % 14.90/2.82 | | | | | (v3 = 0))))) & ! [v0: $i] : ( ~ (in(v0, all_79_1) = % 14.90/2.82 | | | | | 0) | ~ $i(v0) | ? [v1: any] : ? [v2: any] : (in(v0, % 14.90/2.82 | | | | | all_124_0) = v2 & in(v0, all_79_3) = v1 & (v2 = 0 | v1 = % 14.90/2.82 | | | | | 0))) % 14.90/2.82 | | | | | % 14.90/2.82 | | | | | ALPHA: (55) implies: % 14.90/2.82 | | | | | (56) ! [v0: $i] : ( ~ (in(v0, all_79_1) = 0) | ~ $i(v0) | ? [v1: % 14.90/2.82 | | | | | any] : ? [v2: any] : (in(v0, all_124_0) = v2 & in(v0, % 14.90/2.82 | | | | | all_79_3) = v1 & (v2 = 0 | v1 = 0))) % 14.90/2.82 | | | | | (57) ! [v0: $i] : ! [v1: any] : ( ~ (in(v0, all_79_1) = v1) | ~ % 14.90/2.82 | | | | | $i(v0) | ? [v2: any] : ? [v3: any] : (in(v0, all_124_0) = % 14.90/2.82 | | | | | v2 & in(v0, all_79_3) = v3 & ( ~ (v2 = 0) | (v1 = 0 & ~ % 14.90/2.82 | | | | | (v3 = 0))))) % 14.90/2.82 | | | | | % 14.90/2.82 | | | | | GROUND_INST: instantiating (56) with all_107_0, simplifying with (29), % 14.90/2.82 | | | | | (31) gives: % 14.90/2.82 | | | | | (58) ? [v0: any] : ? [v1: any] : (in(all_107_0, all_124_0) = v1 & % 14.90/2.82 | | | | | in(all_107_0, all_79_3) = v0 & (v1 = 0 | v0 = 0)) % 14.90/2.82 | | | | | % 14.90/2.82 | | | | | GROUND_INST: instantiating (57) with all_107_0, 0, simplifying with % 14.90/2.82 | | | | | (29), (31) gives: % 14.90/2.82 | | | | | (59) ? [v0: any] : ? [v1: any] : (in(all_107_0, all_124_0) = v0 & % 14.90/2.82 | | | | | in(all_107_0, all_79_3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 14.90/2.82 | | | | | % 14.90/2.82 | | | | | GROUND_INST: instantiating (53) with all_107_0, simplifying with (29), % 14.90/2.82 | | | | | (31) gives: % 14.90/2.82 | | | | | (60) ? [v0: any] : ? [v1: any] : (in(all_107_0, all_112_0) = v1 & % 14.90/2.82 | | | | | in(all_107_0, all_79_3) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 14.90/2.82 | | | | | % 14.90/2.82 | | | | | GROUND_INST: instantiating (54) with all_107_0, 0, simplifying with % 14.90/2.82 | | | | | (29), (31) gives: % 14.90/2.82 | | | | | (61) ? [v0: any] : ? [v1: any] : (in(all_107_0, all_112_0) = v0 & % 14.90/2.82 | | | | | in(all_107_0, all_79_3) = v1 & ( ~ (v0 = 0) | v1 = 0)) % 14.90/2.82 | | | | | % 14.90/2.82 | | | | | DELTA: instantiating (59) with fresh symbols all_150_0, all_150_1 % 14.90/2.82 | | | | | gives: % 14.90/2.83 | | | | | (62) in(all_107_0, all_124_0) = all_150_1 & in(all_107_0, all_79_3) % 14.90/2.83 | | | | | = all_150_0 & ( ~ (all_150_0 = 0) | ~ (all_150_1 = 0)) % 14.90/2.83 | | | | | % 14.90/2.83 | | | | | ALPHA: (62) implies: % 14.90/2.83 | | | | | (63) in(all_107_0, all_79_3) = all_150_0 % 14.90/2.83 | | | | | % 14.90/2.83 | | | | | DELTA: instantiating (58) with fresh symbols all_152_0, all_152_1 % 14.90/2.83 | | | | | gives: % 14.90/2.83 | | | | | (64) in(all_107_0, all_124_0) = all_152_0 & in(all_107_0, all_79_3) % 14.90/2.83 | | | | | = all_152_1 & (all_152_0 = 0 | all_152_1 = 0) % 14.90/2.83 | | | | | % 14.90/2.83 | | | | | ALPHA: (64) implies: % 14.90/2.83 | | | | | (65) in(all_107_0, all_79_3) = all_152_1 % 14.90/2.83 | | | | | % 14.90/2.83 | | | | | DELTA: instantiating (61) with fresh symbols all_154_0, all_154_1 % 14.90/2.83 | | | | | gives: % 14.90/2.83 | | | | | (66) in(all_107_0, all_112_0) = all_154_1 & in(all_107_0, all_79_3) % 14.90/2.83 | | | | | = all_154_0 & ( ~ (all_154_1 = 0) | all_154_0 = 0) % 14.90/2.83 | | | | | % 14.90/2.83 | | | | | ALPHA: (66) implies: % 14.90/2.83 | | | | | (67) in(all_107_0, all_79_3) = all_154_0 % 14.90/2.83 | | | | | % 14.90/2.83 | | | | | DELTA: instantiating (60) with fresh symbols all_156_0, all_156_1 % 14.90/2.83 | | | | | gives: % 14.90/2.83 | | | | | (68) in(all_107_0, all_112_0) = all_156_0 & in(all_107_0, all_79_3) % 14.90/2.83 | | | | | = all_156_1 & ( ~ (all_156_1 = 0) | all_156_0 = 0) % 14.90/2.83 | | | | | % 14.90/2.83 | | | | | ALPHA: (68) implies: % 14.90/2.83 | | | | | (69) in(all_107_0, all_79_3) = all_156_1 % 14.90/2.83 | | | | | % 14.90/2.83 | | | | | REDUCE: (51), (69) imply: % 14.90/2.83 | | | | | (70) in(all_79_4, all_79_3) = all_156_1 % 14.90/2.83 | | | | | % 14.90/2.83 | | | | | REDUCE: (51), (67) imply: % 14.90/2.83 | | | | | (71) in(all_79_4, all_79_3) = all_154_0 % 14.90/2.83 | | | | | % 14.90/2.83 | | | | | REDUCE: (51), (65) imply: % 14.90/2.83 | | | | | (72) in(all_79_4, all_79_3) = all_152_1 % 14.90/2.83 | | | | | % 14.90/2.83 | | | | | REDUCE: (51), (63) imply: % 14.90/2.83 | | | | | (73) in(all_79_4, all_79_3) = all_150_0 % 14.90/2.83 | | | | | % 14.90/2.83 | | | | | REDUCE: (30), (51) imply: % 14.90/2.83 | | | | | (74) in(all_79_4, all_79_3) = 0 % 14.90/2.83 | | | | | % 14.90/2.83 | | | | | GROUND_INST: instantiating (8) with all_79_2, all_154_0, all_79_3, % 14.90/2.83 | | | | | all_79_4, simplifying with (16), (71) gives: % 14.90/2.83 | | | | | (75) all_154_0 = all_79_2 % 14.90/2.83 | | | | | % 14.90/2.83 | | | | | GROUND_INST: instantiating (8) with all_152_1, all_154_0, all_79_3, % 14.90/2.83 | | | | | all_79_4, simplifying with (71), (72) gives: % 14.90/2.83 | | | | | (76) all_154_0 = all_152_1 % 14.90/2.83 | | | | | % 14.90/2.83 | | | | | GROUND_INST: instantiating (8) with all_150_0, all_154_0, all_79_3, % 14.90/2.83 | | | | | all_79_4, simplifying with (71), (73) gives: % 14.90/2.83 | | | | | (77) all_154_0 = all_150_0 % 14.90/2.83 | | | | | % 14.90/2.83 | | | | | GROUND_INST: instantiating (8) with all_154_0, all_156_1, all_79_3, % 14.90/2.83 | | | | | all_79_4, simplifying with (70), (71) gives: % 14.90/2.83 | | | | | (78) all_156_1 = all_154_0 % 14.90/2.83 | | | | | % 14.90/2.83 | | | | | GROUND_INST: instantiating (8) with 0, all_156_1, all_79_3, all_79_4, % 14.90/2.83 | | | | | simplifying with (70), (74) gives: % 14.90/2.83 | | | | | (79) all_156_1 = 0 % 14.90/2.83 | | | | | % 14.90/2.83 | | | | | COMBINE_EQS: (78), (79) imply: % 14.90/2.83 | | | | | (80) all_154_0 = 0 % 14.90/2.83 | | | | | % 14.90/2.83 | | | | | SIMP: (80) implies: % 14.90/2.83 | | | | | (81) all_154_0 = 0 % 14.90/2.83 | | | | | % 14.90/2.83 | | | | | COMBINE_EQS: (75), (76) imply: % 14.90/2.83 | | | | | (82) all_152_1 = all_79_2 % 14.90/2.83 | | | | | % 14.90/2.83 | | | | | COMBINE_EQS: (76), (81) imply: % 14.90/2.83 | | | | | (83) all_152_1 = 0 % 14.90/2.83 | | | | | % 14.90/2.83 | | | | | COMBINE_EQS: (76), (77) imply: % 14.90/2.83 | | | | | (84) all_152_1 = all_150_0 % 14.90/2.83 | | | | | % 14.90/2.83 | | | | | COMBINE_EQS: (82), (84) imply: % 14.90/2.83 | | | | | (85) all_150_0 = all_79_2 % 14.90/2.83 | | | | | % 14.90/2.83 | | | | | COMBINE_EQS: (83), (84) imply: % 14.90/2.83 | | | | | (86) all_150_0 = 0 % 14.90/2.83 | | | | | % 14.90/2.83 | | | | | COMBINE_EQS: (85), (86) imply: % 14.90/2.83 | | | | | (87) all_79_2 = 0 % 14.90/2.83 | | | | | % 14.90/2.83 | | | | | SIMP: (87) implies: % 14.90/2.83 | | | | | (88) all_79_2 = 0 % 14.90/2.83 | | | | | % 14.90/2.83 | | | | | REDUCE: (11), (88) imply: % 14.90/2.83 | | | | | (89) $false % 14.90/2.83 | | | | | % 14.90/2.83 | | | | | CLOSE: (89) is inconsistent. % 14.90/2.83 | | | | | % 14.90/2.83 | | | | End of split % 14.90/2.83 | | | | % 14.90/2.83 | | | End of split % 14.90/2.83 | | | % 14.90/2.83 | | End of split % 14.90/2.83 | | % 14.90/2.83 | End of split % 14.90/2.83 | % 14.90/2.83 End of proof % 14.90/2.83 % SZS output end Proof for theBenchmark % 14.90/2.83 % 14.90/2.83 2224ms %------------------------------------------------------------------------------