%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SYN070+1 : TPTP v8.1.2. Released v2.0.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n002.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 : Fri Sep 1 03:26:28 EDT 2023 % Result : Theorem 3.88s 1.32s % Output : Proof 6.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SYN070+1 : TPTP v8.1.2. Released v2.0.0. % 0.07/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.14/0.36 % Computer : n002.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 300 % 0.14/0.36 % DateTime : Sat Aug 26 19:15:03 EDT 2023 % 0.14/0.36 % CPUTime : % 0.21/0.64 ________ _____ % 0.21/0.64 ___ __ \_________(_)________________________________ % 0.21/0.64 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.21/0.64 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.21/0.64 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.21/0.64 % 0.21/0.64 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.21/0.64 (2023-06-19) % 0.21/0.64 % 0.21/0.64 (c) Philipp Rümmer, 2009-2023 % 0.21/0.64 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.21/0.64 Amanda Stjerna. % 0.21/0.64 Free software under BSD-3-Clause. % 0.21/0.64 % 0.21/0.64 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.21/0.64 % 0.21/0.64 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.21/0.65 Running up to 7 provers in parallel. % 0.21/0.67 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.21/0.67 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.21/0.67 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.21/0.67 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.21/0.67 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.21/0.67 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.21/0.67 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.13/1.00 Prover 1: Preprocessing ... % 2.13/1.00 Prover 4: Preprocessing ... % 2.46/1.05 Prover 3: Preprocessing ... % 2.46/1.05 Prover 0: Preprocessing ... % 2.46/1.05 Prover 6: Preprocessing ... % 2.46/1.05 Prover 2: Preprocessing ... % 2.46/1.05 Prover 5: Preprocessing ... % 2.88/1.14 Prover 5: Proving ... % 2.88/1.15 Prover 2: Proving ... % 2.88/1.16 Prover 6: Constructing countermodel ... % 2.88/1.16 Prover 3: Constructing countermodel ... % 3.29/1.17 Prover 1: Constructing countermodel ... % 3.29/1.18 Prover 4: Constructing countermodel ... % 3.29/1.22 Prover 0: Proving ... % 3.88/1.26 Prover 3: gave up % 3.88/1.26 Prover 6: gave up % 3.88/1.26 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 3.88/1.26 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 3.88/1.28 Prover 7: Preprocessing ... % 3.88/1.28 Prover 8: Preprocessing ... % 3.88/1.30 Prover 1: gave up % 3.88/1.31 Prover 7: Warning: ignoring some quantifiers % 3.88/1.32 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 3.88/1.32 Prover 0: proved (658ms) % 3.88/1.32 % 3.88/1.32 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 3.88/1.32 % 3.88/1.33 Prover 5: stopped % 3.88/1.33 Prover 2: stopped % 3.88/1.33 Prover 7: Constructing countermodel ... % 3.88/1.33 Prover 9: Preprocessing ... % 3.88/1.33 Prover 8: Warning: ignoring some quantifiers % 3.88/1.34 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 3.88/1.34 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 3.88/1.34 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 3.88/1.35 Prover 8: Constructing countermodel ... % 3.88/1.35 Prover 11: Preprocessing ... % 3.88/1.36 Prover 13: Preprocessing ... % 3.88/1.36 Prover 10: Preprocessing ... % 4.28/1.37 Prover 13: Warning: ignoring some quantifiers % 4.28/1.38 Prover 13: Constructing countermodel ... % 4.28/1.38 Prover 10: Warning: ignoring some quantifiers % 4.28/1.38 Prover 8: gave up % 4.28/1.39 Prover 10: Constructing countermodel ... % 4.28/1.40 Prover 7: gave up % 4.28/1.41 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 4.28/1.41 Prover 16: Preprocessing ... % 4.28/1.41 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 5.01/1.42 Prover 19: Preprocessing ... % 5.09/1.43 Prover 11: Constructing countermodel ... % 5.09/1.43 Prover 9: Constructing countermodel ... % 5.09/1.43 Prover 10: gave up % 5.09/1.43 Prover 9: stopped % 5.09/1.43 Prover 13: gave up % 5.09/1.44 Prover 16: Warning: ignoring some quantifiers % 5.09/1.44 Prover 16: Constructing countermodel ... % 5.09/1.46 Prover 19: Warning: ignoring some quantifiers % 5.09/1.47 Prover 19: Constructing countermodel ... % 5.09/1.48 Prover 16: gave up % 5.09/1.50 Prover 4: Found proof (size 89) % 5.09/1.50 Prover 4: proved (833ms) % 5.09/1.50 Prover 11: stopped % 5.09/1.50 Prover 19: stopped % 5.09/1.50 % 5.09/1.50 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 5.09/1.50 % 5.69/1.51 % SZS output start Proof for theBenchmark % 5.69/1.51 Assumptions after simplification: % 5.69/1.51 --------------------------------- % 5.69/1.51 % 5.69/1.51 (pel46) % 5.69/1.54 ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & big_f(v0) = 0 & big_g(v0) = v1 & % 5.69/1.54 $i(v0)) % 5.69/1.54 % 5.69/1.54 (pel46_1) % 5.69/1.54 ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ( ~ (big_h(v1, v0) = v2) | ~ % 5.69/1.54 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: % 5.69/1.54 any] : (big_f(v1) = v4 & big_f(v0) = v3 & big_g(v1) = v5 & big_g(v0) = v6 % 5.69/1.54 & ( ~ (v3 = 0) | v6 = 0 | (v4 = 0 & v2 = 0 & ~ (v5 = 0))))) % 5.69/1.54 % 5.69/1.54 (pel46_2) % 5.69/1.55 ? [v0: $i] : ? [v1: int] : ? [v2: int] : ($i(v0) & ((v1 = 0 & ~ (v2 = 0) & % 5.69/1.55 big_f(v0) = 0 & big_g(v0) = v2 & ! [v3: $i] : ! [v4: int] : (v4 = 0 | % 5.69/1.55 ~ (big_j(v0, v3) = v4) | ~ $i(v3) | ? [v5: any] : ? [v6: any] : % 5.69/1.55 (big_f(v3) = v5 & big_g(v3) = v6 & ( ~ (v5 = 0) | v6 = 0))) & ! [v3: % 5.69/1.55 $i] : ! [v4: int] : (v4 = 0 | ~ (big_g(v3) = v4) | ~ $i(v3) | ? % 5.69/1.55 [v5: any] : ? [v6: any] : (big_j(v0, v3) = v6 & big_f(v3) = v5 & ( ~ % 5.69/1.55 (v5 = 0) | v6 = 0))) & ! [v3: $i] : ( ~ (big_f(v3) = 0) | ~ % 5.69/1.55 $i(v3) | ? [v4: any] : ? [v5: any] : (big_j(v0, v3) = v5 & big_g(v3) % 5.69/1.55 = v4 & (v5 = 0 | v4 = 0)))) | ( ! [v3: $i] : ! [v4: int] : (v4 = 0 % 5.69/1.55 | ~ (big_g(v3) = v4) | ~ $i(v3) | ? [v5: int] : ( ~ (v5 = 0) & % 5.69/1.55 big_f(v3) = v5)) & ! [v3: $i] : ( ~ (big_f(v3) = 0) | ~ $i(v3) | % 5.69/1.55 big_g(v3) = 0)))) % 5.69/1.55 % 5.69/1.55 (pel46_3) % 5.69/1.55 ! [v0: $i] : ! [v1: $i] : ( ~ (big_j(v1, v0) = 0) | ~ $i(v1) | ~ $i(v0) | % 5.69/1.55 ? [v2: any] : ? [v3: any] : ? [v4: any] : (big_h(v0, v1) = v4 & big_f(v1) % 5.69/1.55 = v3 & big_f(v0) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0)))) & ! % 5.69/1.55 [v0: $i] : ! [v1: $i] : ( ~ (big_h(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? % 5.69/1.55 [v2: any] : ? [v3: any] : ? [v4: any] : (big_j(v1, v0) = v4 & big_f(v1) = % 5.69/1.55 v3 & big_f(v0) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0)))) % 5.69/1.55 % 5.69/1.55 (function-axioms) % 5.69/1.56 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 5.69/1.56 [v3: $i] : (v1 = v0 | ~ (big_j(v3, v2) = v1) | ~ (big_j(v3, v2) = v0)) & ! % 5.69/1.56 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 5.69/1.56 $i] : (v1 = v0 | ~ (big_h(v3, v2) = v1) | ~ (big_h(v3, v2) = v0)) & ! % 5.69/1.56 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 % 5.69/1.56 | ~ (big_f(v2) = v1) | ~ (big_f(v2) = v0)) & ! [v0: MultipleValueBool] : % 5.69/1.56 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (big_g(v2) = v1) | ~ % 5.69/1.56 (big_g(v2) = v0)) % 5.69/1.56 % 5.69/1.56 Those formulas are unsatisfiable: % 5.69/1.56 --------------------------------- % 5.69/1.56 % 5.69/1.56 Begin of proof % 5.69/1.56 | % 5.69/1.56 | ALPHA: (pel46_3) implies: % 5.69/1.56 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ (big_j(v1, v0) = 0) | ~ $i(v1) | ~ % 5.69/1.56 | $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: any] : (big_h(v0, v1) % 5.69/1.56 | = v4 & big_f(v1) = v3 & big_f(v0) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) % 5.69/1.56 | | ~ (v2 = 0)))) % 5.69/1.56 | % 5.69/1.56 | ALPHA: (function-axioms) implies: % 5.69/1.56 | (2) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 5.69/1.56 | (v1 = v0 | ~ (big_g(v2) = v1) | ~ (big_g(v2) = v0)) % 5.69/1.56 | (3) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 5.69/1.56 | (v1 = v0 | ~ (big_f(v2) = v1) | ~ (big_f(v2) = v0)) % 5.69/1.56 | (4) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 5.69/1.56 | ! [v3: $i] : (v1 = v0 | ~ (big_j(v3, v2) = v1) | ~ (big_j(v3, v2) = % 5.69/1.56 | v0)) % 5.69/1.56 | % 5.69/1.56 | DELTA: instantiating (pel46) with fresh symbols all_5_0, all_5_1 gives: % 5.69/1.56 | (5) ~ (all_5_0 = 0) & big_f(all_5_1) = 0 & big_g(all_5_1) = all_5_0 & % 5.69/1.56 | $i(all_5_1) % 5.69/1.56 | % 5.69/1.56 | ALPHA: (5) implies: % 5.69/1.56 | (6) ~ (all_5_0 = 0) % 5.69/1.57 | (7) $i(all_5_1) % 5.69/1.57 | (8) big_g(all_5_1) = all_5_0 % 5.69/1.57 | (9) big_f(all_5_1) = 0 % 5.69/1.57 | % 5.69/1.57 | DELTA: instantiating (pel46_2) with fresh symbols all_7_0, all_7_1, all_7_2 % 5.69/1.57 | gives: % 5.69/1.57 | (10) $i(all_7_2) & ((all_7_1 = 0 & ~ (all_7_0 = 0) & big_f(all_7_2) = 0 & % 5.69/1.57 | big_g(all_7_2) = all_7_0 & ! [v0: $i] : ! [v1: int] : (v1 = 0 | % 5.69/1.57 | ~ (big_j(all_7_2, v0) = v1) | ~ $i(v0) | ? [v2: any] : ? [v3: % 5.69/1.57 | any] : (big_f(v0) = v2 & big_g(v0) = v3 & ( ~ (v2 = 0) | v3 = % 5.69/1.57 | 0))) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (big_g(v0) % 5.69/1.57 | = v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any] : % 5.69/1.57 | (big_j(all_7_2, v0) = v3 & big_f(v0) = v2 & ( ~ (v2 = 0) | v3 = % 5.69/1.57 | 0))) & ! [v0: $i] : ( ~ (big_f(v0) = 0) | ~ $i(v0) | ? % 5.69/1.57 | [v1: any] : ? [v2: any] : (big_j(all_7_2, v0) = v2 & big_g(v0) % 5.69/1.57 | = v1 & (v2 = 0 | v1 = 0)))) | ( ! [v0: $i] : ! [v1: int] : % 5.69/1.57 | (v1 = 0 | ~ (big_g(v0) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 % 5.69/1.57 | = 0) & big_f(v0) = v2)) & ! [v0: $i] : ( ~ (big_f(v0) = 0) % 5.69/1.57 | | ~ $i(v0) | big_g(v0) = 0))) % 5.69/1.57 | % 5.69/1.57 | ALPHA: (10) implies: % 5.69/1.57 | (11) $i(all_7_2) % 5.69/1.57 | (12) (all_7_1 = 0 & ~ (all_7_0 = 0) & big_f(all_7_2) = 0 & big_g(all_7_2) % 5.69/1.57 | = all_7_0 & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ % 5.69/1.57 | (big_j(all_7_2, v0) = v1) | ~ $i(v0) | ? [v2: any] : ? [v3: % 5.69/1.57 | any] : (big_f(v0) = v2 & big_g(v0) = v3 & ( ~ (v2 = 0) | v3 = % 5.69/1.57 | 0))) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (big_g(v0) = % 5.69/1.57 | v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any] : (big_j(all_7_2, % 5.69/1.57 | v0) = v3 & big_f(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0: % 5.69/1.57 | $i] : ( ~ (big_f(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? [v2: % 5.69/1.57 | any] : (big_j(all_7_2, v0) = v2 & big_g(v0) = v1 & (v2 = 0 | v1 % 5.69/1.57 | = 0)))) | ( ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ % 5.69/1.57 | (big_g(v0) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & % 5.69/1.57 | big_f(v0) = v2)) & ! [v0: $i] : ( ~ (big_f(v0) = 0) | ~ $i(v0) % 5.69/1.57 | | big_g(v0) = 0)) % 5.69/1.57 | % 5.69/1.57 | BETA: splitting (12) gives: % 5.69/1.57 | % 5.69/1.57 | Case 1: % 5.69/1.57 | | % 5.69/1.58 | | (13) all_7_1 = 0 & ~ (all_7_0 = 0) & big_f(all_7_2) = 0 & big_g(all_7_2) % 5.69/1.58 | | = all_7_0 & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ % 5.69/1.58 | | (big_j(all_7_2, v0) = v1) | ~ $i(v0) | ? [v2: any] : ? [v3: % 5.69/1.58 | | any] : (big_f(v0) = v2 & big_g(v0) = v3 & ( ~ (v2 = 0) | v3 = % 5.69/1.58 | | 0))) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (big_g(v0) = % 5.69/1.58 | | v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any] : (big_j(all_7_2, % 5.69/1.58 | | v0) = v3 & big_f(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0: % 5.69/1.58 | | $i] : ( ~ (big_f(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? [v2: % 5.69/1.58 | | any] : (big_j(all_7_2, v0) = v2 & big_g(v0) = v1 & (v2 = 0 | v1 % 5.69/1.58 | | = 0))) % 5.69/1.58 | | % 5.69/1.58 | | ALPHA: (13) implies: % 5.69/1.58 | | (14) ~ (all_7_0 = 0) % 5.69/1.58 | | (15) big_g(all_7_2) = all_7_0 % 5.69/1.58 | | (16) big_f(all_7_2) = 0 % 5.69/1.58 | | (17) ! [v0: $i] : ( ~ (big_f(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? % 5.69/1.58 | | [v2: any] : (big_j(all_7_2, v0) = v2 & big_g(v0) = v1 & (v2 = 0 | % 5.69/1.58 | | v1 = 0))) % 5.69/1.58 | | (18) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (big_g(v0) = v1) | ~ % 5.69/1.58 | | $i(v0) | ? [v2: any] : ? [v3: any] : (big_j(all_7_2, v0) = v3 & % 5.69/1.58 | | big_f(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 5.69/1.58 | | % 5.69/1.58 | | GROUND_INST: instantiating (18) with all_5_1, all_5_0, simplifying with (7), % 5.69/1.58 | | (8) gives: % 6.03/1.58 | | (19) all_5_0 = 0 | ? [v0: any] : ? [v1: any] : (big_j(all_7_2, all_5_1) % 6.03/1.58 | | = v1 & big_f(all_5_1) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 6.03/1.58 | | % 6.03/1.58 | | GROUND_INST: instantiating (17) with all_5_1, simplifying with (7), (9) % 6.03/1.58 | | gives: % 6.03/1.58 | | (20) ? [v0: any] : ? [v1: any] : (big_j(all_7_2, all_5_1) = v1 & % 6.03/1.58 | | big_g(all_5_1) = v0 & (v1 = 0 | v0 = 0)) % 6.03/1.58 | | % 6.03/1.58 | | DELTA: instantiating (20) with fresh symbols all_17_0, all_17_1 gives: % 6.03/1.58 | | (21) big_j(all_7_2, all_5_1) = all_17_0 & big_g(all_5_1) = all_17_1 & % 6.03/1.58 | | (all_17_0 = 0 | all_17_1 = 0) % 6.03/1.58 | | % 6.03/1.58 | | ALPHA: (21) implies: % 6.03/1.58 | | (22) big_j(all_7_2, all_5_1) = all_17_0 % 6.03/1.58 | | % 6.03/1.58 | | BETA: splitting (19) gives: % 6.03/1.58 | | % 6.03/1.58 | | Case 1: % 6.03/1.58 | | | % 6.03/1.58 | | | (23) all_5_0 = 0 % 6.03/1.58 | | | % 6.03/1.58 | | | REDUCE: (6), (23) imply: % 6.03/1.58 | | | (24) $false % 6.03/1.58 | | | % 6.03/1.58 | | | CLOSE: (24) is inconsistent. % 6.03/1.58 | | | % 6.03/1.58 | | Case 2: % 6.03/1.58 | | | % 6.03/1.58 | | | (25) ? [v0: any] : ? [v1: any] : (big_j(all_7_2, all_5_1) = v1 & % 6.03/1.58 | | | big_f(all_5_1) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 6.03/1.59 | | | % 6.03/1.59 | | | DELTA: instantiating (25) with fresh symbols all_23_0, all_23_1 gives: % 6.03/1.59 | | | (26) big_j(all_7_2, all_5_1) = all_23_0 & big_f(all_5_1) = all_23_1 & ( % 6.03/1.59 | | | ~ (all_23_1 = 0) | all_23_0 = 0) % 6.03/1.59 | | | % 6.03/1.59 | | | ALPHA: (26) implies: % 6.03/1.59 | | | (27) big_f(all_5_1) = all_23_1 % 6.03/1.59 | | | (28) big_j(all_7_2, all_5_1) = all_23_0 % 6.03/1.59 | | | (29) ~ (all_23_1 = 0) | all_23_0 = 0 % 6.03/1.59 | | | % 6.03/1.59 | | | GROUND_INST: instantiating (3) with 0, all_23_1, all_5_1, simplifying with % 6.03/1.59 | | | (9), (27) gives: % 6.03/1.59 | | | (30) all_23_1 = 0 % 6.03/1.59 | | | % 6.03/1.59 | | | GROUND_INST: instantiating (4) with all_17_0, all_23_0, all_5_1, all_7_2, % 6.03/1.59 | | | simplifying with (22), (28) gives: % 6.03/1.59 | | | (31) all_23_0 = all_17_0 % 6.03/1.59 | | | % 6.03/1.59 | | | BETA: splitting (29) gives: % 6.03/1.59 | | | % 6.03/1.59 | | | Case 1: % 6.03/1.59 | | | | % 6.03/1.59 | | | | (32) ~ (all_23_1 = 0) % 6.03/1.59 | | | | % 6.03/1.59 | | | | REDUCE: (30), (32) imply: % 6.03/1.59 | | | | (33) $false % 6.03/1.59 | | | | % 6.03/1.59 | | | | CLOSE: (33) is inconsistent. % 6.03/1.59 | | | | % 6.03/1.59 | | | Case 2: % 6.03/1.59 | | | | % 6.03/1.59 | | | | (34) all_23_0 = 0 % 6.03/1.59 | | | | % 6.03/1.59 | | | | COMBINE_EQS: (31), (34) imply: % 6.03/1.59 | | | | (35) all_17_0 = 0 % 6.03/1.59 | | | | % 6.03/1.59 | | | | REDUCE: (22), (35) imply: % 6.03/1.59 | | | | (36) big_j(all_7_2, all_5_1) = 0 % 6.03/1.59 | | | | % 6.03/1.59 | | | | GROUND_INST: instantiating (18) with all_7_2, all_7_0, simplifying with % 6.03/1.59 | | | | (11), (15) gives: % 6.03/1.59 | | | | (37) all_7_0 = 0 | ? [v0: any] : ? [v1: any] : (big_j(all_7_2, % 6.03/1.59 | | | | all_7_2) = v1 & big_f(all_7_2) = v0 & ( ~ (v0 = 0) | v1 = % 6.03/1.59 | | | | 0)) % 6.03/1.59 | | | | % 6.03/1.59 | | | | GROUND_INST: instantiating (17) with all_7_2, simplifying with (11), % 6.03/1.59 | | | | (16) gives: % 6.03/1.59 | | | | (38) ? [v0: any] : ? [v1: any] : (big_j(all_7_2, all_7_2) = v1 & % 6.03/1.59 | | | | big_g(all_7_2) = v0 & (v1 = 0 | v0 = 0)) % 6.03/1.59 | | | | % 6.03/1.59 | | | | GROUND_INST: instantiating (1) with all_5_1, all_7_2, simplifying with % 6.03/1.59 | | | | (7), (11), (36) gives: % 6.03/1.59 | | | | (39) ? [v0: any] : ? [v1: any] : ? [v2: any] : (big_h(all_5_1, % 6.03/1.59 | | | | all_7_2) = v2 & big_f(all_7_2) = v1 & big_f(all_5_1) = v0 & % 6.03/1.59 | | | | ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 6.03/1.59 | | | | % 6.03/1.59 | | | | DELTA: instantiating (38) with fresh symbols all_38_0, all_38_1 gives: % 6.03/1.59 | | | | (40) big_j(all_7_2, all_7_2) = all_38_0 & big_g(all_7_2) = all_38_1 & % 6.03/1.59 | | | | (all_38_0 = 0 | all_38_1 = 0) % 6.03/1.59 | | | | % 6.03/1.59 | | | | ALPHA: (40) implies: % 6.03/1.59 | | | | (41) big_g(all_7_2) = all_38_1 % 6.03/1.59 | | | | (42) big_j(all_7_2, all_7_2) = all_38_0 % 6.03/1.59 | | | | (43) all_38_0 = 0 | all_38_1 = 0 % 6.03/1.59 | | | | % 6.03/1.59 | | | | DELTA: instantiating (39) with fresh symbols all_40_0, all_40_1, % 6.03/1.59 | | | | all_40_2 gives: % 6.03/1.59 | | | | (44) big_h(all_5_1, all_7_2) = all_40_0 & big_f(all_7_2) = all_40_1 & % 6.03/1.59 | | | | big_f(all_5_1) = all_40_2 & ( ~ (all_40_0 = 0) | ~ (all_40_1 = % 6.03/1.59 | | | | 0) | ~ (all_40_2 = 0)) % 6.03/1.59 | | | | % 6.03/1.59 | | | | ALPHA: (44) implies: % 6.03/1.59 | | | | (45) big_f(all_5_1) = all_40_2 % 6.03/1.59 | | | | (46) big_f(all_7_2) = all_40_1 % 6.03/1.59 | | | | (47) big_h(all_5_1, all_7_2) = all_40_0 % 6.03/1.60 | | | | (48) ~ (all_40_0 = 0) | ~ (all_40_1 = 0) | ~ (all_40_2 = 0) % 6.03/1.60 | | | | % 6.03/1.60 | | | | GROUND_INST: instantiating (2) with all_7_0, all_38_1, all_7_2, % 6.03/1.60 | | | | simplifying with (15), (41) gives: % 6.03/1.60 | | | | (49) all_38_1 = all_7_0 % 6.03/1.60 | | | | % 6.03/1.60 | | | | GROUND_INST: instantiating (3) with 0, all_40_2, all_5_1, simplifying % 6.03/1.60 | | | | with (9), (45) gives: % 6.03/1.60 | | | | (50) all_40_2 = 0 % 6.03/1.60 | | | | % 6.03/1.60 | | | | GROUND_INST: instantiating (3) with 0, all_40_1, all_7_2, simplifying % 6.03/1.60 | | | | with (16), (46) gives: % 6.03/1.60 | | | | (51) all_40_1 = 0 % 6.03/1.60 | | | | % 6.03/1.60 | | | | BETA: splitting (37) gives: % 6.03/1.60 | | | | % 6.03/1.60 | | | | Case 1: % 6.03/1.60 | | | | | % 6.03/1.60 | | | | | (52) all_7_0 = 0 % 6.03/1.60 | | | | | % 6.03/1.60 | | | | | REDUCE: (14), (52) imply: % 6.03/1.60 | | | | | (53) $false % 6.03/1.60 | | | | | % 6.03/1.60 | | | | | CLOSE: (53) is inconsistent. % 6.03/1.60 | | | | | % 6.03/1.60 | | | | Case 2: % 6.03/1.60 | | | | | % 6.03/1.60 | | | | | (54) ? [v0: any] : ? [v1: any] : (big_j(all_7_2, all_7_2) = v1 & % 6.03/1.60 | | | | | big_f(all_7_2) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 6.03/1.60 | | | | | % 6.03/1.60 | | | | | DELTA: instantiating (54) with fresh symbols all_50_0, all_50_1 gives: % 6.03/1.60 | | | | | (55) big_j(all_7_2, all_7_2) = all_50_0 & big_f(all_7_2) = all_50_1 % 6.03/1.60 | | | | | & ( ~ (all_50_1 = 0) | all_50_0 = 0) % 6.03/1.60 | | | | | % 6.03/1.60 | | | | | ALPHA: (55) implies: % 6.03/1.60 | | | | | (56) big_f(all_7_2) = all_50_1 % 6.03/1.60 | | | | | (57) big_j(all_7_2, all_7_2) = all_50_0 % 6.03/1.60 | | | | | % 6.03/1.60 | | | | | BETA: splitting (48) gives: % 6.03/1.60 | | | | | % 6.03/1.60 | | | | | Case 1: % 6.03/1.60 | | | | | | % 6.03/1.60 | | | | | | (58) ~ (all_40_0 = 0) % 6.03/1.60 | | | | | | % 6.03/1.60 | | | | | | BETA: splitting (43) gives: % 6.03/1.60 | | | | | | % 6.03/1.60 | | | | | | Case 1: % 6.03/1.60 | | | | | | | % 6.03/1.60 | | | | | | | (59) all_38_0 = 0 % 6.03/1.60 | | | | | | | % 6.03/1.60 | | | | | | | REDUCE: (42), (59) imply: % 6.03/1.60 | | | | | | | (60) big_j(all_7_2, all_7_2) = 0 % 6.03/1.60 | | | | | | | % 6.03/1.60 | | | | | | | GROUND_INST: instantiating (3) with 0, all_50_1, all_7_2, % 6.03/1.60 | | | | | | | simplifying with (16), (56) gives: % 6.03/1.60 | | | | | | | (61) all_50_1 = 0 % 6.03/1.60 | | | | | | | % 6.03/1.60 | | | | | | | GROUND_INST: instantiating (4) with 0, all_50_0, all_7_2, all_7_2, % 6.03/1.60 | | | | | | | simplifying with (57), (60) gives: % 6.03/1.60 | | | | | | | (62) all_50_0 = 0 % 6.03/1.60 | | | | | | | % 6.03/1.60 | | | | | | | GROUND_INST: instantiating (pel46_1) with all_7_2, all_5_1, % 6.03/1.60 | | | | | | | all_40_0, simplifying with (7), (11), (47) gives: % 6.03/1.60 | | | | | | | (63) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] % 6.03/1.60 | | | | | | | : (big_f(all_7_2) = v0 & big_f(all_5_1) = v1 & % 6.03/1.60 | | | | | | | big_g(all_7_2) = v3 & big_g(all_5_1) = v2 & ( ~ (v0 = 0) % 6.03/1.60 | | | | | | | | v3 = 0 | (v1 = 0 & all_40_0 = 0 & ~ (v2 = 0)))) % 6.03/1.60 | | | | | | | % 6.03/1.60 | | | | | | | GROUND_INST: instantiating (1) with all_7_2, all_7_2, simplifying % 6.03/1.60 | | | | | | | with (11), (60) gives: % 6.03/1.60 | | | | | | | (64) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 6.03/1.60 | | | | | | | (big_h(all_7_2, all_7_2) = v2 & big_f(all_7_2) = v1 & % 6.03/1.60 | | | | | | | big_f(all_7_2) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ % 6.03/1.60 | | | | | | | (v0 = 0))) % 6.03/1.60 | | | | | | | % 6.03/1.60 | | | | | | | DELTA: instantiating (64) with fresh symbols all_69_0, all_69_1, % 6.03/1.60 | | | | | | | all_69_2 gives: % 6.03/1.60 | | | | | | | (65) big_h(all_7_2, all_7_2) = all_69_0 & big_f(all_7_2) = % 6.03/1.60 | | | | | | | all_69_1 & big_f(all_7_2) = all_69_2 & ( ~ (all_69_0 = 0) % 6.03/1.60 | | | | | | | | ~ (all_69_1 = 0) | ~ (all_69_2 = 0)) % 6.03/1.60 | | | | | | | % 6.03/1.60 | | | | | | | ALPHA: (65) implies: % 6.03/1.60 | | | | | | | (66) big_f(all_7_2) = all_69_2 % 6.03/1.60 | | | | | | | (67) big_f(all_7_2) = all_69_1 % 6.03/1.60 | | | | | | | % 6.03/1.60 | | | | | | | DELTA: instantiating (63) with fresh symbols all_71_0, all_71_1, % 6.03/1.60 | | | | | | | all_71_2, all_71_3 gives: % 6.03/1.60 | | | | | | | (68) big_f(all_7_2) = all_71_3 & big_f(all_5_1) = all_71_2 & % 6.03/1.61 | | | | | | | big_g(all_7_2) = all_71_0 & big_g(all_5_1) = all_71_1 & ( % 6.03/1.61 | | | | | | | ~ (all_71_3 = 0) | all_71_0 = 0 | (all_71_2 = 0 & % 6.03/1.61 | | | | | | | all_40_0 = 0 & ~ (all_71_1 = 0))) % 6.03/1.61 | | | | | | | % 6.03/1.61 | | | | | | | ALPHA: (68) implies: % 6.03/1.61 | | | | | | | (69) big_g(all_7_2) = all_71_0 % 6.03/1.61 | | | | | | | (70) big_f(all_7_2) = all_71_3 % 6.03/1.61 | | | | | | | (71) ~ (all_71_3 = 0) | all_71_0 = 0 | (all_71_2 = 0 & % 6.03/1.61 | | | | | | | all_40_0 = 0 & ~ (all_71_1 = 0)) % 6.03/1.61 | | | | | | | % 6.03/1.61 | | | | | | | GROUND_INST: instantiating (2) with all_7_0, all_71_0, all_7_2, % 6.03/1.61 | | | | | | | simplifying with (15), (69) gives: % 6.03/1.61 | | | | | | | (72) all_71_0 = all_7_0 % 6.03/1.61 | | | | | | | % 6.03/1.61 | | | | | | | GROUND_INST: instantiating (3) with 0, all_71_3, all_7_2, % 6.03/1.61 | | | | | | | simplifying with (16), (70) gives: % 6.03/1.61 | | | | | | | (73) all_71_3 = 0 % 6.03/1.61 | | | | | | | % 6.03/1.61 | | | | | | | GROUND_INST: instantiating (3) with all_69_1, all_71_3, all_7_2, % 6.03/1.61 | | | | | | | simplifying with (67), (70) gives: % 6.03/1.61 | | | | | | | (74) all_71_3 = all_69_1 % 6.03/1.61 | | | | | | | % 6.03/1.61 | | | | | | | GROUND_INST: instantiating (3) with all_69_2, all_71_3, all_7_2, % 6.03/1.61 | | | | | | | simplifying with (66), (70) gives: % 6.03/1.61 | | | | | | | (75) all_71_3 = all_69_2 % 6.03/1.61 | | | | | | | % 6.03/1.61 | | | | | | | COMBINE_EQS: (73), (74) imply: % 6.03/1.61 | | | | | | | (76) all_69_1 = 0 % 6.03/1.61 | | | | | | | % 6.03/1.61 | | | | | | | COMBINE_EQS: (74), (75) imply: % 6.03/1.61 | | | | | | | (77) all_69_1 = all_69_2 % 6.03/1.61 | | | | | | | % 6.03/1.61 | | | | | | | COMBINE_EQS: (76), (77) imply: % 6.03/1.61 | | | | | | | (78) all_69_2 = 0 % 6.03/1.61 | | | | | | | % 6.03/1.61 | | | | | | | BETA: splitting (71) gives: % 6.03/1.61 | | | | | | | % 6.03/1.61 | | | | | | | Case 1: % 6.03/1.61 | | | | | | | | % 6.03/1.61 | | | | | | | | (79) ~ (all_71_3 = 0) % 6.03/1.61 | | | | | | | | % 6.03/1.61 | | | | | | | | REDUCE: (73), (79) imply: % 6.03/1.61 | | | | | | | | (80) $false % 6.03/1.61 | | | | | | | | % 6.03/1.61 | | | | | | | | CLOSE: (80) is inconsistent. % 6.03/1.61 | | | | | | | | % 6.03/1.61 | | | | | | | Case 2: % 6.03/1.61 | | | | | | | | % 6.03/1.61 | | | | | | | | (81) all_71_0 = 0 | (all_71_2 = 0 & all_40_0 = 0 & ~ % 6.03/1.61 | | | | | | | | (all_71_1 = 0)) % 6.03/1.61 | | | | | | | | % 6.03/1.61 | | | | | | | | BETA: splitting (81) gives: % 6.03/1.61 | | | | | | | | % 6.03/1.61 | | | | | | | | Case 1: % 6.03/1.61 | | | | | | | | | % 6.03/1.61 | | | | | | | | | (82) all_71_0 = 0 % 6.03/1.61 | | | | | | | | | % 6.03/1.61 | | | | | | | | | COMBINE_EQS: (72), (82) imply: % 6.03/1.61 | | | | | | | | | (83) all_7_0 = 0 % 6.03/1.61 | | | | | | | | | % 6.03/1.61 | | | | | | | | | REDUCE: (14), (83) imply: % 6.03/1.61 | | | | | | | | | (84) $false % 6.03/1.61 | | | | | | | | | % 6.03/1.61 | | | | | | | | | CLOSE: (84) is inconsistent. % 6.03/1.61 | | | | | | | | | % 6.03/1.61 | | | | | | | | Case 2: % 6.03/1.61 | | | | | | | | | % 6.03/1.61 | | | | | | | | | (85) all_71_2 = 0 & all_40_0 = 0 & ~ (all_71_1 = 0) % 6.03/1.61 | | | | | | | | | % 6.03/1.61 | | | | | | | | | ALPHA: (85) implies: % 6.03/1.61 | | | | | | | | | (86) all_40_0 = 0 % 6.03/1.61 | | | | | | | | | % 6.03/1.61 | | | | | | | | | REDUCE: (58), (86) imply: % 6.03/1.61 | | | | | | | | | (87) $false % 6.03/1.61 | | | | | | | | | % 6.03/1.61 | | | | | | | | | CLOSE: (87) is inconsistent. % 6.03/1.61 | | | | | | | | | % 6.03/1.61 | | | | | | | | End of split % 6.03/1.61 | | | | | | | | % 6.03/1.61 | | | | | | | End of split % 6.03/1.61 | | | | | | | % 6.03/1.61 | | | | | | Case 2: % 6.03/1.61 | | | | | | | % 6.03/1.61 | | | | | | | (88) all_38_1 = 0 % 6.03/1.61 | | | | | | | % 6.03/1.61 | | | | | | | COMBINE_EQS: (49), (88) imply: % 6.03/1.61 | | | | | | | (89) all_7_0 = 0 % 6.03/1.61 | | | | | | | % 6.03/1.61 | | | | | | | REDUCE: (14), (89) imply: % 6.03/1.61 | | | | | | | (90) $false % 6.03/1.61 | | | | | | | % 6.03/1.61 | | | | | | | CLOSE: (90) is inconsistent. % 6.03/1.61 | | | | | | | % 6.03/1.61 | | | | | | End of split % 6.03/1.61 | | | | | | % 6.03/1.61 | | | | | Case 2: % 6.03/1.61 | | | | | | % 6.03/1.61 | | | | | | (91) ~ (all_40_1 = 0) | ~ (all_40_2 = 0) % 6.03/1.61 | | | | | | % 6.03/1.61 | | | | | | BETA: splitting (91) gives: % 6.03/1.61 | | | | | | % 6.03/1.61 | | | | | | Case 1: % 6.03/1.61 | | | | | | | % 6.03/1.61 | | | | | | | (92) ~ (all_40_1 = 0) % 6.03/1.61 | | | | | | | % 6.03/1.61 | | | | | | | REDUCE: (51), (92) imply: % 6.03/1.61 | | | | | | | (93) $false % 6.03/1.61 | | | | | | | % 6.03/1.61 | | | | | | | CLOSE: (93) is inconsistent. % 6.03/1.61 | | | | | | | % 6.03/1.61 | | | | | | Case 2: % 6.03/1.61 | | | | | | | % 6.03/1.61 | | | | | | | (94) ~ (all_40_2 = 0) % 6.03/1.61 | | | | | | | % 6.03/1.61 | | | | | | | REDUCE: (50), (94) imply: % 6.03/1.61 | | | | | | | (95) $false % 6.03/1.61 | | | | | | | % 6.03/1.61 | | | | | | | CLOSE: (95) is inconsistent. % 6.03/1.61 | | | | | | | % 6.03/1.61 | | | | | | End of split % 6.03/1.61 | | | | | | % 6.03/1.61 | | | | | End of split % 6.03/1.61 | | | | | % 6.03/1.61 | | | | End of split % 6.03/1.61 | | | | % 6.03/1.61 | | | End of split % 6.03/1.61 | | | % 6.03/1.61 | | End of split % 6.03/1.61 | | % 6.03/1.61 | Case 2: % 6.03/1.61 | | % 6.03/1.62 | | (96) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (big_g(v0) = v1) | ~ % 6.03/1.62 | | $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & big_f(v0) = v2)) & ! [v0: % 6.03/1.62 | | $i] : ( ~ (big_f(v0) = 0) | ~ $i(v0) | big_g(v0) = 0) % 6.03/1.62 | | % 6.03/1.62 | | ALPHA: (96) implies: % 6.03/1.62 | | (97) ! [v0: $i] : ( ~ (big_f(v0) = 0) | ~ $i(v0) | big_g(v0) = 0) % 6.03/1.62 | | % 6.03/1.62 | | GROUND_INST: instantiating (97) with all_5_1, simplifying with (7), (9) % 6.03/1.62 | | gives: % 6.03/1.62 | | (98) big_g(all_5_1) = 0 % 6.03/1.62 | | % 6.03/1.62 | | GROUND_INST: instantiating (2) with all_5_0, 0, all_5_1, simplifying with % 6.03/1.62 | | (8), (98) gives: % 6.03/1.62 | | (99) all_5_0 = 0 % 6.03/1.62 | | % 6.03/1.62 | | REDUCE: (6), (99) imply: % 6.03/1.62 | | (100) $false % 6.03/1.62 | | % 6.03/1.62 | | CLOSE: (100) is inconsistent. % 6.03/1.62 | | % 6.03/1.62 | End of split % 6.03/1.62 | % 6.03/1.62 End of proof % 6.03/1.62 % SZS output end Proof for theBenchmark % 6.03/1.62 % 6.03/1.62 979ms %------------------------------------------------------------------------------