TSTP Solution File: KRS147+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : KRS147+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n028.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 : 600s
% DateTime : Sun Jul 17 02:56:42 EDT 2022
% Result : Theorem 21.65s 6.61s
% Output : Proof 44.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : KRS147+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.11/0.33 % Computer : n028.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Tue Jun 7 12:00:15 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.57 ____ _
% 0.18/0.57 ___ / __ \_____(_)___ ________ __________
% 0.18/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.18/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.18/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.18/0.57
% 0.18/0.57 A Theorem Prover for First-Order Logic
% 0.18/0.57 (ePrincess v.1.0)
% 0.18/0.57
% 0.18/0.57 (c) Philipp Rümmer, 2009-2015
% 0.18/0.57 (c) Peter Backeman, 2014-2015
% 0.18/0.57 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.18/0.57 Free software under GNU Lesser General Public License (LGPL).
% 0.18/0.57 Bug reports to peter@backeman.se
% 0.18/0.57
% 0.18/0.57 For more information, visit http://user.uu.se/~petba168/breu/
% 0.18/0.57
% 0.18/0.57 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.67/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.75/1.00 Prover 0: Preprocessing ...
% 2.69/1.28 Prover 0: Warning: ignoring some quantifiers
% 2.69/1.31 Prover 0: Constructing countermodel ...
% 18.48/5.92 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 18.95/6.02 Prover 1: Preprocessing ...
% 19.97/6.28 Prover 1: Constructing countermodel ...
% 21.65/6.60 Prover 1: proved (685ms)
% 21.65/6.60 Prover 0: stopped
% 21.65/6.61
% 21.65/6.61 No countermodel exists, formula is valid
% 21.65/6.61 % SZS status Theorem for theBenchmark
% 21.65/6.61
% 21.65/6.61 Generating proof ... found it (size 292)
% 43.66/12.86
% 43.66/12.86 % SZS output start Proof for theBenchmark
% 43.66/12.86 Assumed formulas after preprocessing and simplification:
% 43.66/12.86 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ( ~ (v12 = 0) & ~ (v11 = 0) & ~ (v10 = 0) & ~ (v9 = 0) & ~ (v8 = 0) & ~ (v7 = 0) & ~ (v6 = 0) & ~ (v5 = 0) & ~ (v4 = 0) & ~ (v3 = 0) & ~ (v2 = 0) & ~ (v1 = 0) & ~ (v0 = 0) & cC92(iV8467) = v0 & cC82(iV8467) = v16 & cC80(iV8471) = v22 & cC78(iV8471) = v8 & cC72(iV8467) = v1 & cC62(iV8467) = v20 & cC60(iV8472) = v23 & cC6(iV8469) = v6 & cC58(iV8472) = v24 & cC52(iV8467) = v3 & cC48(iV8467) = v14 & cC42(iV8467) = v2 & cC34(iV8467) = v21 & cC32(iV8474) = v11 & cC26(iV8467) = v4 & cC20(iV8467) = v19 & cC2(iV8476) = 0 & cC2(iV8472) = v9 & cC2(iV8475) = v12 & cC2(iV8468) = v5 & cC2(iV8473) = v10 & cC2(iV8471) = v7 & cC14(iV8467) = v17 & cTOP(iV8470) = 0 & rR1(iV8472, iV8476) = 0 & rR1(iV8467, iV8470) = 0 & rR1(iV8467, iV8474) = 0 & rR1(iV8467, iV8472) = 0 & rR1(iV8467, iV8475) = 0 & rR1(iV8467, iV8469) = 0 & rR1(iV8467, iV8468) = 0 & rR1(iV8467, iV8473) = 0 & rR1(iV8467, iV8471) = 0 & cC8(iV8467) = v18 & cC10(iV8467) = v13 & cC4(iV8467) = v15 & cowlThing(iV8476) = 0 & cowlThing(iV8470) = 0 & cowlThing(iV8474) = 0 & cowlThing(iV8472) = 0 & cowlThing(iV8475) = 0 & cowlThing(iV8469) = 0 & cowlThing(iV8468) = 0 & cowlThing(iV8473) = 0 & cowlThing(iV8471) = 0 & cowlThing(iV8467) = 0 & ! [v28] : ! [v29] : ! [v30] : ! [v31] : (v31 = 0 | v29 = 0 | ~ (cC84(v28) = v29) | ~ (cC2(v30) = v31) | ? [v32] : ( ~ (v32 = 0) & rR1(v28, v30) = v32)) & ! [v28] : ! [v29] : ! [v30] : ! [v31] : (v31 = 0 | v29 = 0 | ~ (cC78(v28) = v29) | ~ (cC2(v30) = v31) | ? [v32] : ( ~ (v32 = 0) & rR1(v28, v30) = v32)) & ! [v28] : ! [v29] : ! [v30] : ! [v31] : (v31 = 0 | v29 = 0 | ~ (cC6(v30) = v31) | ~ (cC8(v28) = v29) | ? [v32] : ( ~ (v32 = 0) & rR1(v28, v30) = v32)) & ! [v28] : ! [v29] : ! [v30] : ! [v31] : (v31 = 0 | v29 = 0 | ~ (cC6(v28) = v29) | ~ (cC2(v30) = v31) | ? [v32] : ( ~ (v32 = 0) & rR1(v28, v30) = v32)) & ! [v28] : ! [v29] : ! [v30] : ! [v31] : (v31 = 0 | v29 = 0 | ~ (cC48(v28) = v29) | ~ (cC2(v30) = v31) | ? [v32] : ( ~ (v32 = 0) & rR1(v28, v30) = v32)) & ! [v28] : ! [v29] : ! [v30] : ! [v31] : (v31 = 0 | v29 = 0 | ~ (cC38(v28) = v29) | ~ (cC36(v30) = v31) | ? [v32] : ( ~ (v32 = 0) & rR1(v28, v30) = v32)) & ! [v28] : ! [v29] : ! [v30] : ! [v31] : (v31 = 0 | v29 = 0 | ~ (cC34(v28) = v29) | ~ (cC32(v30) = v31) | ? [v32] : ( ~ (v32 = 0) & rR1(v28, v30) = v32)) & ! [v28] : ! [v29] : ! [v30] : ! [v31] : (v31 = 0 | v29 = 0 | ~ (cC22(v28) = v29) | ~ (cC2(v30) = v31) | ? [v32] : ( ~ (v32 = 0) & rR1(v28, v30) = v32)) & ! [v28] : ! [v29] : ! [v30] : ! [v31] : (v31 = 0 | v29 = 0 | ~ (cC20(v28) = v29) | ~ (cC2(v30) = v31) | ? [v32] : ( ~ (v32 = 0) & rR1(v28, v30) = v32)) & ! [v28] : ! [v29] : ! [v30] : ! [v31] : (v31 = 0 | v29 = 0 | ~ (cC2(v30) = v31) | ~ (cC4(v28) = v29) | ? [v32] : ( ~ (v32 = 0) & rR1(v28, v30) = v32)) & ! [v28] : ! [v29] : ! [v30] : ! [v31] : (v31 = 0 | v29 = 0 | ~ (cC16(v28) = v29) | ~ (cC14(v30) = v31) | ? [v32] : ( ~ (v32 = 0) & rR1(v28, v30) = v32)) & ! [v28] : ! [v29] : ! [v30] : ! [v31] : (v29 = v28 | ~ (rR1(v31, v30) = v29) | ~ (rR1(v31, v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cTEST(v30) = v29) | ~ (cTEST(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC94(v30) = v29) | ~ (cC94(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC92(v30) = v29) | ~ (cC92(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC90(v30) = v29) | ~ (cC90(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC88(v30) = v29) | ~ (cC88(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC86(v30) = v29) | ~ (cC86(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC84(v30) = v29) | ~ (cC84(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC82(v30) = v29) | ~ (cC82(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC80(v30) = v29) | ~ (cC80(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC78(v30) = v29) | ~ (cC78(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC76(v30) = v29) | ~ (cC76(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC74(v30) = v29) | ~ (cC74(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC72(v30) = v29) | ~ (cC72(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC70(v30) = v29) | ~ (cC70(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC68(v30) = v29) | ~ (cC68(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC66(v30) = v29) | ~ (cC66(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC64(v30) = v29) | ~ (cC64(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC62(v30) = v29) | ~ (cC62(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC60(v30) = v29) | ~ (cC60(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC6(v30) = v29) | ~ (cC6(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC58(v30) = v29) | ~ (cC58(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC56(v30) = v29) | ~ (cC56(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC54(v30) = v29) | ~ (cC54(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC52(v30) = v29) | ~ (cC52(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC50(v30) = v29) | ~ (cC50(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC48(v30) = v29) | ~ (cC48(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC46(v30) = v29) | ~ (cC46(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC44(v30) = v29) | ~ (cC44(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC42(v30) = v29) | ~ (cC42(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC40(v30) = v29) | ~ (cC40(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC38(v30) = v29) | ~ (cC38(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC36(v30) = v29) | ~ (cC36(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC34(v30) = v29) | ~ (cC34(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC32(v30) = v29) | ~ (cC32(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC30(v30) = v29) | ~ (cC30(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC28(v30) = v29) | ~ (cC28(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC26(v30) = v29) | ~ (cC26(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC24(v30) = v29) | ~ (cC24(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC22(v30) = v29) | ~ (cC22(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC20(v30) = v29) | ~ (cC20(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC2(v30) = v29) | ~ (cC2(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC18(v30) = v29) | ~ (cC18(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC16(v30) = v29) | ~ (cC16(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC14(v30) = v29) | ~ (cC14(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cTOP(v30) = v29) | ~ (cTOP(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC12(v30) = v29) | ~ (cC12(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC8(v30) = v29) | ~ (cC8(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC10(v30) = v29) | ~ (cC10(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cC4(v30) = v29) | ~ (cC4(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (xsd_string(v30) = v29) | ~ (xsd_string(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (xsd_integer(v30) = v29) | ~ (xsd_integer(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cowlNothing(v30) = v29) | ~ (cowlNothing(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (cowlThing(v30) = v29) | ~ (cowlThing(v30) = v28)) & ! [v28] : ! [v29] : ! [v30] : (v29 = 0 | ~ (cC94(v28) = v29) | ~ (cC92(v30) = 0) | ? [v31] : ( ~ (v31 = 0) & rR1(v28, v30) = v31)) & ! [v28] : ! [v29] : ! [v30] : (v29 = 0 | ~ (cC90(v28) = v29) | ~ (cC88(v30) = 0) | ? [v31] : ( ~ (v31 = 0) & rR1(v28, v30) = v31)) & ! [v28] : ! [v29] : ! [v30] : (v29 = 0 | ~ (cC88(v28) = v29) | ~ (cC86(v30) = 0) | ? [v31] : ( ~ (v31 = 0) & rR1(v28, v30) = v31)) & ! [v28] : ! [v29] : ! [v30] : (v29 = 0 | ~ (cC82(v28) = v29) | ~ (cC80(v30) = 0) | ? [v31] : ( ~ (v31 = 0) & rR1(v28, v30) = v31)) & ! [v28] : ! [v29] : ! [v30] : (v29 = 0 | ~ (cC74(v28) = v29) | ~ (cC72(v30) = 0) | ? [v31] : ( ~ (v31 = 0) & rR1(v28, v30) = v31)) & ! [v28] : ! [v29] : ! [v30] : (v29 = 0 | ~ (cC70(v28) = v29) | ~ (cC68(v30) = 0) | ? [v31] : ( ~ (v31 = 0) & rR1(v28, v30) = v31)) & ! [v28] : ! [v29] : ! [v30] : (v29 = 0 | ~ (cC68(v28) = v29) | ~ (cC66(v30) = 0) | ? [v31] : ( ~ (v31 = 0) & rR1(v28, v30) = v31)) & ! [v28] : ! [v29] : ! [v30] : (v29 = 0 | ~ (cC64(v28) = v29) | ~ (cC2(v30) = 0) | ? [v31] : ( ~ (v31 = 0) & rR1(v28, v30) = v31)) & ! [v28] : ! [v29] : ! [v30] : (v29 = 0 | ~ (cC62(v28) = v29) | ~ (cC60(v30) = 0) | ? [v31] : ( ~ (v31 = 0) & rR1(v28, v30) = v31)) & ! [v28] : ! [v29] : ! [v30] : (v29 = 0 | ~ (cC58(v28) = v29) | ~ (cC2(v30) = 0) | ? [v31] : ( ~ (v31 = 0) & rR1(v28, v30) = v31)) & ! [v28] : ! [v29] : ! [v30] : (v29 = 0 | ~ (cC54(v28) = v29) | ~ (cC52(v30) = 0) | ? [v31] : ( ~ (v31 = 0) & rR1(v28, v30) = v31)) & ! [v28] : ! [v29] : ! [v30] : (v29 = 0 | ~ (cC50(v28) = v29) | ~ (cC2(v30) = 0) | ? [v31] : ( ~ (v31 = 0) & rR1(v28, v30) = v31)) & ! [v28] : ! [v29] : ! [v30] : (v29 = 0 | ~ (cC44(v28) = v29) | ~ (cC42(v30) = 0) | ? [v31] : ( ~ (v31 = 0) & rR1(v28, v30) = v31)) & ! [v28] : ! [v29] : ! [v30] : (v29 = 0 | ~ (cC40(v28) = v29) | ~ (cC38(v30) = 0) | ? [v31] : ( ~ (v31 = 0) & rR1(v28, v30) = v31)) & ! [v28] : ! [v29] : ! [v30] : (v29 = 0 | ~ (cC36(v28) = v29) | ~ (cC2(v30) = 0) | ? [v31] : ( ~ (v31 = 0) & rR1(v28, v30) = v31)) & ! [v28] : ! [v29] : ! [v30] : (v29 = 0 | ~ (cC32(v28) = v29) | ~ (cC2(v30) = 0) | ? [v31] : ( ~ (v31 = 0) & rR1(v28, v30) = v31)) & ! [v28] : ! [v29] : ! [v30] : (v29 = 0 | ~ (cC28(v28) = v29) | ~ (cC26(v30) = 0) | ? [v31] : ( ~ (v31 = 0) & rR1(v28, v30) = v31)) & ! [v28] : ! [v29] : ! [v30] : (v29 = 0 | ~ (cC24(v28) = v29) | ~ (cC22(v30) = 0) | ? [v31] : ( ~ (v31 = 0) & rR1(v28, v30) = v31)) & ! [v28] : ! [v29] : ! [v30] : (v29 = 0 | ~ (cC14(v28) = v29) | ~ (cTOP(v30) = 0) | ? [v31] : ( ~ (v31 = 0) & rR1(v28, v30) = v31)) & ! [v28] : ! [v29] : ! [v30] : (v29 = 0 | ~ (cC12(v28) = v29) | ~ (cC10(v30) = 0) | ? [v31] : ( ~ (v31 = 0) & rR1(v28, v30) = v31)) & ! [v28] : ! [v29] : (v29 = 0 | ~ (cTEST(v28) = v29) | ? [v30] : ? [v31] : (cC94(v28) = v30 & cC76(v28) = v31 & ( ~ (v31 = 0) | v30 = 0))) & ! [v28] : ! [v29] : (v29 = 0 | ~ (cC86(v28) = v29) | ? [v30] : ? [v31] : (cC84(v28) = v30 & cC2(v28) = v31 & (v31 = 0 | v30 = 0))) & ! [v28] : ! [v29] : (v29 = 0 | ~ (cC80(v28) = v29) | ? [v30] : ? [v31] : (cC78(v28) = v31 & cC2(v28) = v30 & (v31 = 0 | v30 = 0))) & ! [v28] : ! [v29] : (v29 = 0 | ~ (cC76(v28) = v29) | ? [v30] : ? [v31] : (cC74(v28) = v30 & cC56(v28) = v31 & ( ~ (v31 = 0) | v30 = 0))) & ! [v28] : ! [v29] : (v29 = 0 | ~ (cC66(v28) = v29) | ? [v30] : ? [v31] : (cC64(v28) = v31 & cC2(v28) = v30 & ( ~ (v31 = 0) | v30 = 0))) & ! [v28] : ! [v29] : (v29 = 0 | ~ (cC60(v28) = v29) | ? [v30] : ? [v31] : (cC58(v28) = v30 & cC2(v28) = v31 & ( ~ (v30 = 0) | v31 = 0))) & ! [v28] : ! [v29] : (v29 = 0 | ~ (cC56(v28) = v29) | ? [v30] : ? [v31] : (cC54(v28) = v30 & cC46(v28) = v31 & ( ~ (v31 = 0) | v30 = 0))) & ! [v28] : ! [v29] : (v29 = 0 | ~ (cC50(v28) = v29) | ? [v30] : ? [v31] : (cC52(v28) = v31 & cC48(v28) = v30 & (v31 = 0 | v30 = 0))) & ! [v28] : ! [v29] : (v29 = 0 | ~ (cC46(v28) = v29) | ? [v30] : ? [v31] : (cC44(v28) = v30 & cC30(v28) = v31 & ( ~ (v31 = 0) | v30 = 0))) & ! [v28] : ! [v29] : (v29 = 0 | ~ (cC30(v28) = v29) | ? [v30] : ? [v31] : (cC28(v28) = v31 & cC18(v28) = v30 & ( ~ (v30 = 0) | v31 = 0))) & ! [v28] : ! [v29] : (v29 = 0 | ~ (cC18(v28) = v29) | ? [v30] : ? [v31] : (cC16(v28) = v30 & cC12(v28) = v31 & ( ~ (v31 = 0) | v30 = 0))) & ! [v28] : ! [v29] : (v29 = 0 | ~ (xsd_string(v28) = v29) | xsd_integer(v28) = 0) & ! [v28] : ! [v29] : (v29 = 0 | ~ (cowlThing(v28) = v29)) & ! [v28] : ! [v29] : ( ~ (cC90(v28) = v29) | ? [v30] : ? [v31] : (cC92(v28) = v30 & cC82(v28) = v31 & ( ~ (v30 = 0) | (v29 = 0 & ~ (v31 = 0))))) & ! [v28] : ! [v29] : ( ~ (cC70(v28) = v29) | ? [v30] : ? [v31] : (cC72(v28) = v30 & cC62(v28) = v31 & ( ~ (v30 = 0) | (v29 = 0 & ~ (v31 = 0))))) & ! [v28] : ! [v29] : ( ~ (cC50(v28) = v29) | ? [v30] : ? [v31] : (cC52(v28) = v30 & cC48(v28) = v31 & ( ~ (v30 = 0) | ( ~ (v31 = 0) & ~ (v29 = 0))))) & ! [v28] : ! [v29] : ( ~ (cC40(v28) = v29) | ? [v30] : ? [v31] : (cC42(v28) = v30 & cC34(v28) = v31 & ( ~ (v30 = 0) | (v29 = 0 & ~ (v31 = 0))))) & ! [v28] : ! [v29] : ( ~ (cC24(v28) = v29) | ? [v30] : ? [v31] : (cC26(v28) = v30 & cC20(v28) = v31 & ( ~ (v30 = 0) | (v29 = 0 & ~ (v31 = 0))))) & ! [v28] : ! [v29] : ( ~ (cC8(v28) = v29) | ? [v30] : ? [v31] : (cC10(v28) = v30 & cC4(v28) = v31 & ( ~ (v30 = 0) | (v31 = 0 & v29 = 0)))) & ! [v28] : ( ~ (cTEST(v28) = 0) | ? [v29] : ( ~ (v29 = 0) & cC94(v28) = v29 & cC76(v28) = 0)) & ! [v28] : ( ~ (cC94(v28) = 0) | ? [v29] : (cC92(v29) = 0 & rR1(v28, v29) = 0)) & ! [v28] : ( ~ (cC90(v28) = 0) | ? [v29] : ? [v30] : (cC92(v28) = v30 & cC82(v28) = v29 & (v30 = 0 | v29 = 0))) & ! [v28] : ( ~ (cC90(v28) = 0) | ? [v29] : (cC88(v29) = 0 & rR1(v28, v29) = 0)) & ! [v28] : ( ~ (cC88(v28) = 0) | ? [v29] : (cC86(v29) = 0 & rR1(v28, v29) = 0)) & ! [v28] : ( ~ (cC86(v28) = 0) | ? [v29] : ? [v30] : ( ~ (v30 = 0) & ~ (v29 = 0) & cC84(v28) = v29 & cC2(v28) = v30)) & ! [v28] : ( ~ (cC84(v28) = 0) | ? [v29] : ? [v30] : ( ~ (v30 = 0) & cC2(v29) = v30 & rR1(v28, v29) = 0)) & ! [v28] : ( ~ (cC82(v28) = 0) | ? [v29] : (cC80(v29) = 0 & rR1(v28, v29) = 0)) & ! [v28] : ( ~ (cC80(v28) = 0) | ? [v29] : ? [v30] : ( ~ (v30 = 0) & ~ (v29 = 0) & cC78(v28) = v30 & cC2(v28) = v29)) & ! [v28] : ( ~ (cC78(v28) = 0) | ? [v29] : ? [v30] : ( ~ (v30 = 0) & cC2(v29) = v30 & rR1(v28, v29) = 0)) & ! [v28] : ( ~ (cC76(v28) = 0) | ? [v29] : ( ~ (v29 = 0) & cC74(v28) = v29 & cC56(v28) = 0)) & ! [v28] : ( ~ (cC74(v28) = 0) | ? [v29] : (cC72(v29) = 0 & rR1(v28, v29) = 0)) & ! [v28] : ( ~ (cC70(v28) = 0) | ? [v29] : ? [v30] : (cC72(v28) = v30 & cC62(v28) = v29 & (v30 = 0 | v29 = 0))) & ! [v28] : ( ~ (cC70(v28) = 0) | ? [v29] : (cC68(v29) = 0 & rR1(v28, v29) = 0)) & ! [v28] : ( ~ (cC68(v28) = 0) | ? [v29] : (cC66(v29) = 0 & rR1(v28, v29) = 0)) & ! [v28] : ( ~ (cC66(v28) = 0) | ? [v29] : ( ~ (v29 = 0) & cC64(v28) = 0 & cC2(v28) = v29)) & ! [v28] : ( ~ (cC64(v28) = 0) | ? [v29] : (cC2(v29) = 0 & rR1(v28, v29) = 0)) & ! [v28] : ( ~ (cC62(v28) = 0) | ? [v29] : (cC60(v29) = 0 & rR1(v28, v29) = 0)) & ! [v28] : ( ~ (cC60(v28) = 0) | ? [v29] : ( ~ (v29 = 0) & cC58(v28) = 0 & cC2(v28) = v29)) & ! [v28] : ( ~ (cC6(v28) = 0) | ? [v29] : ? [v30] : ( ~ (v30 = 0) & cC2(v29) = v30 & rR1(v28, v29) = 0)) & ! [v28] : ( ~ (cC58(v28) = 0) | ? [v29] : (cC2(v29) = 0 & rR1(v28, v29) = 0)) & ! [v28] : ( ~ (cC56(v28) = 0) | ? [v29] : ( ~ (v29 = 0) & cC54(v28) = v29 & cC46(v28) = 0)) & ! [v28] : ( ~ (cC54(v28) = 0) | ? [v29] : (cC52(v29) = 0 & rR1(v28, v29) = 0)) & ! [v28] : ( ~ (cC50(v28) = 0) | ? [v29] : (cC2(v29) = 0 & rR1(v28, v29) = 0)) & ! [v28] : ( ~ (cC48(v28) = 0) | ? [v29] : ? [v30] : ( ~ (v30 = 0) & cC2(v29) = v30 & rR1(v28, v29) = 0)) & ! [v28] : ( ~ (cC46(v28) = 0) | ? [v29] : ( ~ (v29 = 0) & cC44(v28) = v29 & cC30(v28) = 0)) & ! [v28] : ( ~ (cC44(v28) = 0) | ? [v29] : (cC42(v29) = 0 & rR1(v28, v29) = 0)) & ! [v28] : ( ~ (cC40(v28) = 0) | ? [v29] : ? [v30] : (cC42(v28) = v30 & cC34(v28) = v29 & (v30 = 0 | v29 = 0))) & ! [v28] : ( ~ (cC40(v28) = 0) | ? [v29] : (cC38(v29) = 0 & rR1(v28, v29) = 0)) & ! [v28] : ( ~ (cC38(v28) = 0) | ? [v29] : ? [v30] : ( ~ (v30 = 0) & cC36(v29) = v30 & rR1(v28, v29) = 0)) & ! [v28] : ( ~ (cC36(v28) = 0) | ? [v29] : (cC2(v29) = 0 & rR1(v28, v29) = 0)) & ! [v28] : ( ~ (cC34(v28) = 0) | ? [v29] : ? [v30] : ( ~ (v30 = 0) & cC32(v29) = v30 & rR1(v28, v29) = 0)) & ! [v28] : ( ~ (cC32(v28) = 0) | ? [v29] : (cC2(v29) = 0 & rR1(v28, v29) = 0)) & ! [v28] : ( ~ (cC30(v28) = 0) | ? [v29] : ( ~ (v29 = 0) & cC28(v28) = v29 & cC18(v28) = 0)) & ! [v28] : ( ~ (cC28(v28) = 0) | ? [v29] : (cC26(v29) = 0 & rR1(v28, v29) = 0)) & ! [v28] : ( ~ (cC24(v28) = 0) | ? [v29] : ? [v30] : (cC26(v28) = v30 & cC20(v28) = v29 & (v30 = 0 | v29 = 0))) & ! [v28] : ( ~ (cC24(v28) = 0) | ? [v29] : (cC22(v29) = 0 & rR1(v28, v29) = 0)) & ! [v28] : ( ~ (cC22(v28) = 0) | ? [v29] : ? [v30] : ( ~ (v30 = 0) & cC2(v29) = v30 & rR1(v28, v29) = 0)) & ! [v28] : ( ~ (cC20(v28) = 0) | ? [v29] : ? [v30] : ( ~ (v30 = 0) & cC2(v29) = v30 & rR1(v28, v29) = 0)) & ! [v28] : ( ~ (cC18(v28) = 0) | ? [v29] : ( ~ (v29 = 0) & cC16(v28) = v29 & cC12(v28) = 0)) & ! [v28] : ( ~ (cC16(v28) = 0) | ? [v29] : ? [v30] : ( ~ (v30 = 0) & cC14(v29) = v30 & rR1(v28, v29) = 0)) & ! [v28] : ( ~ (cC14(v28) = 0) | ? [v29] : (cTOP(v29) = 0 & rR1(v28, v29) = 0)) & ! [v28] : ( ~ (cC12(v28) = 0) | ? [v29] : (rR1(v28, v29) = 0 & cC10(v29) = 0)) & ! [v28] : ( ~ (rR1(iV8474, v28) = 0) | ? [v29] : ( ~ (v29 = 0) & cC2(v28) = v29)) & ! [v28] : ( ~ (rR1(iV8469, v28) = 0) | cC2(v28) = 0) & ! [v28] : ( ~ (rR1(iV8471, v28) = 0) | cC2(v28) = 0) & ! [v28] : ( ~ (cC8(v28) = 0) | ? [v29] : ? [v30] : ( ~ (v30 = 0) & cC6(v29) = v30 & rR1(v28, v29) = 0)) & ! [v28] : ( ~ (cC8(v28) = 0) | ? [v29] : ? [v30] : (cC10(v28) = v30 & cC4(v28) = v29 & ( ~ (v29 = 0) | v30 = 0))) & ! [v28] : ( ~ (cC4(v28) = 0) | ? [v29] : ? [v30] : ( ~ (v30 = 0) & cC2(v29) = v30 & rR1(v28, v29) = 0)) & ! [v28] : ( ~ (xsd_string(v28) = 0) | ? [v29] : ( ~ (v29 = 0) & xsd_integer(v28) = v29)) & ! [v28] : ~ (cowlNothing(v28) = 0) & ( ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | (xsd_string(v25) = v26 & xsd_integer(v25) = v27 & ((v27 = 0 & v26 = 0) | ( ~ (v27 = 0) & ~ (v26 = 0)))) | (cowlNothing(v25) = v27 & cowlThing(v25) = v26 & ( ~ (v26 = 0) | v27 = 0))))
% 44.03/12.94 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14, all_0_15_15, all_0_16_16, all_0_17_17, all_0_18_18, all_0_19_19, all_0_20_20, all_0_21_21, all_0_22_22, all_0_23_23, all_0_24_24, all_0_25_25, all_0_26_26, all_0_27_27 yields:
% 44.03/12.94 | (1) ~ (all_0_15_15 = 0) & ~ (all_0_16_16 = 0) & ~ (all_0_17_17 = 0) & ~ (all_0_18_18 = 0) & ~ (all_0_19_19 = 0) & ~ (all_0_20_20 = 0) & ~ (all_0_21_21 = 0) & ~ (all_0_22_22 = 0) & ~ (all_0_23_23 = 0) & ~ (all_0_24_24 = 0) & ~ (all_0_25_25 = 0) & ~ (all_0_26_26 = 0) & ~ (all_0_27_27 = 0) & cC92(iV8467) = all_0_27_27 & cC82(iV8467) = all_0_11_11 & cC80(iV8471) = all_0_5_5 & cC78(iV8471) = all_0_19_19 & cC72(iV8467) = all_0_26_26 & cC62(iV8467) = all_0_7_7 & cC60(iV8472) = all_0_4_4 & cC6(iV8469) = all_0_21_21 & cC58(iV8472) = all_0_3_3 & cC52(iV8467) = all_0_24_24 & cC48(iV8467) = all_0_13_13 & cC42(iV8467) = all_0_25_25 & cC34(iV8467) = all_0_6_6 & cC32(iV8474) = all_0_16_16 & cC26(iV8467) = all_0_23_23 & cC20(iV8467) = all_0_8_8 & cC2(iV8476) = 0 & cC2(iV8472) = all_0_18_18 & cC2(iV8475) = all_0_15_15 & cC2(iV8468) = all_0_22_22 & cC2(iV8473) = all_0_17_17 & cC2(iV8471) = all_0_20_20 & cC14(iV8467) = all_0_10_10 & cTOP(iV8470) = 0 & rR1(iV8472, iV8476) = 0 & rR1(iV8467, iV8470) = 0 & rR1(iV8467, iV8474) = 0 & rR1(iV8467, iV8472) = 0 & rR1(iV8467, iV8475) = 0 & rR1(iV8467, iV8469) = 0 & rR1(iV8467, iV8468) = 0 & rR1(iV8467, iV8473) = 0 & rR1(iV8467, iV8471) = 0 & cC8(iV8467) = all_0_9_9 & cC10(iV8467) = all_0_14_14 & cC4(iV8467) = all_0_12_12 & cowlThing(iV8476) = 0 & cowlThing(iV8470) = 0 & cowlThing(iV8474) = 0 & cowlThing(iV8472) = 0 & cowlThing(iV8475) = 0 & cowlThing(iV8469) = 0 & cowlThing(iV8468) = 0 & cowlThing(iV8473) = 0 & cowlThing(iV8471) = 0 & cowlThing(iV8467) = 0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (cC84(v0) = v1) | ~ (cC2(v2) = v3) | ? [v4] : ( ~ (v4 = 0) & rR1(v0, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (cC78(v0) = v1) | ~ (cC2(v2) = v3) | ? [v4] : ( ~ (v4 = 0) & rR1(v0, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (cC6(v2) = v3) | ~ (cC8(v0) = v1) | ? [v4] : ( ~ (v4 = 0) & rR1(v0, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (cC6(v0) = v1) | ~ (cC2(v2) = v3) | ? [v4] : ( ~ (v4 = 0) & rR1(v0, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (cC48(v0) = v1) | ~ (cC2(v2) = v3) | ? [v4] : ( ~ (v4 = 0) & rR1(v0, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (cC38(v0) = v1) | ~ (cC36(v2) = v3) | ? [v4] : ( ~ (v4 = 0) & rR1(v0, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (cC34(v0) = v1) | ~ (cC32(v2) = v3) | ? [v4] : ( ~ (v4 = 0) & rR1(v0, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (cC22(v0) = v1) | ~ (cC2(v2) = v3) | ? [v4] : ( ~ (v4 = 0) & rR1(v0, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (cC20(v0) = v1) | ~ (cC2(v2) = v3) | ? [v4] : ( ~ (v4 = 0) & rR1(v0, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (cC2(v2) = v3) | ~ (cC4(v0) = v1) | ? [v4] : ( ~ (v4 = 0) & rR1(v0, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (cC16(v0) = v1) | ~ (cC14(v2) = v3) | ? [v4] : ( ~ (v4 = 0) & rR1(v0, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (rR1(v3, v2) = v1) | ~ (rR1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cTEST(v2) = v1) | ~ (cTEST(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC94(v2) = v1) | ~ (cC94(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC92(v2) = v1) | ~ (cC92(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC90(v2) = v1) | ~ (cC90(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC88(v2) = v1) | ~ (cC88(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC86(v2) = v1) | ~ (cC86(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC84(v2) = v1) | ~ (cC84(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC82(v2) = v1) | ~ (cC82(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC80(v2) = v1) | ~ (cC80(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC78(v2) = v1) | ~ (cC78(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC76(v2) = v1) | ~ (cC76(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC74(v2) = v1) | ~ (cC74(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC72(v2) = v1) | ~ (cC72(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC70(v2) = v1) | ~ (cC70(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC68(v2) = v1) | ~ (cC68(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC66(v2) = v1) | ~ (cC66(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC64(v2) = v1) | ~ (cC64(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC62(v2) = v1) | ~ (cC62(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC60(v2) = v1) | ~ (cC60(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC6(v2) = v1) | ~ (cC6(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC58(v2) = v1) | ~ (cC58(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC56(v2) = v1) | ~ (cC56(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC54(v2) = v1) | ~ (cC54(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC52(v2) = v1) | ~ (cC52(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC50(v2) = v1) | ~ (cC50(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC48(v2) = v1) | ~ (cC48(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC46(v2) = v1) | ~ (cC46(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC44(v2) = v1) | ~ (cC44(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC42(v2) = v1) | ~ (cC42(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC40(v2) = v1) | ~ (cC40(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC38(v2) = v1) | ~ (cC38(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC36(v2) = v1) | ~ (cC36(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC34(v2) = v1) | ~ (cC34(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC32(v2) = v1) | ~ (cC32(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC30(v2) = v1) | ~ (cC30(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC28(v2) = v1) | ~ (cC28(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC26(v2) = v1) | ~ (cC26(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC24(v2) = v1) | ~ (cC24(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC22(v2) = v1) | ~ (cC22(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC20(v2) = v1) | ~ (cC20(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC2(v2) = v1) | ~ (cC2(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC18(v2) = v1) | ~ (cC18(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC16(v2) = v1) | ~ (cC16(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC14(v2) = v1) | ~ (cC14(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cTOP(v2) = v1) | ~ (cTOP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC12(v2) = v1) | ~ (cC12(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC8(v2) = v1) | ~ (cC8(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC10(v2) = v1) | ~ (cC10(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC4(v2) = v1) | ~ (cC4(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (xsd_string(v2) = v1) | ~ (xsd_string(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (xsd_integer(v2) = v1) | ~ (xsd_integer(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cowlNothing(v2) = v1) | ~ (cowlNothing(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cowlThing(v2) = v1) | ~ (cowlThing(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC94(v0) = v1) | ~ (cC92(v2) = 0) | ? [v3] : ( ~ (v3 = 0) & rR1(v0, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC90(v0) = v1) | ~ (cC88(v2) = 0) | ? [v3] : ( ~ (v3 = 0) & rR1(v0, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC88(v0) = v1) | ~ (cC86(v2) = 0) | ? [v3] : ( ~ (v3 = 0) & rR1(v0, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC82(v0) = v1) | ~ (cC80(v2) = 0) | ? [v3] : ( ~ (v3 = 0) & rR1(v0, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC74(v0) = v1) | ~ (cC72(v2) = 0) | ? [v3] : ( ~ (v3 = 0) & rR1(v0, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC70(v0) = v1) | ~ (cC68(v2) = 0) | ? [v3] : ( ~ (v3 = 0) & rR1(v0, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC68(v0) = v1) | ~ (cC66(v2) = 0) | ? [v3] : ( ~ (v3 = 0) & rR1(v0, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC64(v0) = v1) | ~ (cC2(v2) = 0) | ? [v3] : ( ~ (v3 = 0) & rR1(v0, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC62(v0) = v1) | ~ (cC60(v2) = 0) | ? [v3] : ( ~ (v3 = 0) & rR1(v0, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC58(v0) = v1) | ~ (cC2(v2) = 0) | ? [v3] : ( ~ (v3 = 0) & rR1(v0, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC54(v0) = v1) | ~ (cC52(v2) = 0) | ? [v3] : ( ~ (v3 = 0) & rR1(v0, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC50(v0) = v1) | ~ (cC2(v2) = 0) | ? [v3] : ( ~ (v3 = 0) & rR1(v0, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC44(v0) = v1) | ~ (cC42(v2) = 0) | ? [v3] : ( ~ (v3 = 0) & rR1(v0, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC40(v0) = v1) | ~ (cC38(v2) = 0) | ? [v3] : ( ~ (v3 = 0) & rR1(v0, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC36(v0) = v1) | ~ (cC2(v2) = 0) | ? [v3] : ( ~ (v3 = 0) & rR1(v0, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC32(v0) = v1) | ~ (cC2(v2) = 0) | ? [v3] : ( ~ (v3 = 0) & rR1(v0, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC28(v0) = v1) | ~ (cC26(v2) = 0) | ? [v3] : ( ~ (v3 = 0) & rR1(v0, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC24(v0) = v1) | ~ (cC22(v2) = 0) | ? [v3] : ( ~ (v3 = 0) & rR1(v0, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC14(v0) = v1) | ~ (cTOP(v2) = 0) | ? [v3] : ( ~ (v3 = 0) & rR1(v0, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC12(v0) = v1) | ~ (cC10(v2) = 0) | ? [v3] : ( ~ (v3 = 0) & rR1(v0, v2) = v3)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (cTEST(v0) = v1) | ? [v2] : ? [v3] : (cC94(v0) = v2 & cC76(v0) = v3 & ( ~ (v3 = 0) | v2 = 0))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (cC86(v0) = v1) | ? [v2] : ? [v3] : (cC84(v0) = v2 & cC2(v0) = v3 & (v3 = 0 | v2 = 0))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (cC80(v0) = v1) | ? [v2] : ? [v3] : (cC78(v0) = v3 & cC2(v0) = v2 & (v3 = 0 | v2 = 0))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (cC76(v0) = v1) | ? [v2] : ? [v3] : (cC74(v0) = v2 & cC56(v0) = v3 & ( ~ (v3 = 0) | v2 = 0))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (cC66(v0) = v1) | ? [v2] : ? [v3] : (cC64(v0) = v3 & cC2(v0) = v2 & ( ~ (v3 = 0) | v2 = 0))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (cC60(v0) = v1) | ? [v2] : ? [v3] : (cC58(v0) = v2 & cC2(v0) = v3 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (cC56(v0) = v1) | ? [v2] : ? [v3] : (cC54(v0) = v2 & cC46(v0) = v3 & ( ~ (v3 = 0) | v2 = 0))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (cC50(v0) = v1) | ? [v2] : ? [v3] : (cC52(v0) = v3 & cC48(v0) = v2 & (v3 = 0 | v2 = 0))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (cC46(v0) = v1) | ? [v2] : ? [v3] : (cC44(v0) = v2 & cC30(v0) = v3 & ( ~ (v3 = 0) | v2 = 0))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (cC30(v0) = v1) | ? [v2] : ? [v3] : (cC28(v0) = v3 & cC18(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (cC18(v0) = v1) | ? [v2] : ? [v3] : (cC16(v0) = v2 & cC12(v0) = v3 & ( ~ (v3 = 0) | v2 = 0))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (xsd_string(v0) = v1) | xsd_integer(v0) = 0) & ! [v0] : ! [v1] : (v1 = 0 | ~ (cowlThing(v0) = v1)) & ! [v0] : ! [v1] : ( ~ (cC90(v0) = v1) | ? [v2] : ? [v3] : (cC92(v0) = v2 & cC82(v0) = v3 & ( ~ (v2 = 0) | (v1 = 0 & ~ (v3 = 0))))) & ! [v0] : ! [v1] : ( ~ (cC70(v0) = v1) | ? [v2] : ? [v3] : (cC72(v0) = v2 & cC62(v0) = v3 & ( ~ (v2 = 0) | (v1 = 0 & ~ (v3 = 0))))) & ! [v0] : ! [v1] : ( ~ (cC50(v0) = v1) | ? [v2] : ? [v3] : (cC52(v0) = v2 & cC48(v0) = v3 & ( ~ (v2 = 0) | ( ~ (v3 = 0) & ~ (v1 = 0))))) & ! [v0] : ! [v1] : ( ~ (cC40(v0) = v1) | ? [v2] : ? [v3] : (cC42(v0) = v2 & cC34(v0) = v3 & ( ~ (v2 = 0) | (v1 = 0 & ~ (v3 = 0))))) & ! [v0] : ! [v1] : ( ~ (cC24(v0) = v1) | ? [v2] : ? [v3] : (cC26(v0) = v2 & cC20(v0) = v3 & ( ~ (v2 = 0) | (v1 = 0 & ~ (v3 = 0))))) & ! [v0] : ! [v1] : ( ~ (cC8(v0) = v1) | ? [v2] : ? [v3] : (cC10(v0) = v2 & cC4(v0) = v3 & ( ~ (v2 = 0) | (v3 = 0 & v1 = 0)))) & ! [v0] : ( ~ (cTEST(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & cC94(v0) = v1 & cC76(v0) = 0)) & ! [v0] : ( ~ (cC94(v0) = 0) | ? [v1] : (cC92(v1) = 0 & rR1(v0, v1) = 0)) & ! [v0] : ( ~ (cC90(v0) = 0) | ? [v1] : ? [v2] : (cC92(v0) = v2 & cC82(v0) = v1 & (v2 = 0 | v1 = 0))) & ! [v0] : ( ~ (cC90(v0) = 0) | ? [v1] : (cC88(v1) = 0 & rR1(v0, v1) = 0)) & ! [v0] : ( ~ (cC88(v0) = 0) | ? [v1] : (cC86(v1) = 0 & rR1(v0, v1) = 0)) & ! [v0] : ( ~ (cC86(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & ~ (v1 = 0) & cC84(v0) = v1 & cC2(v0) = v2)) & ! [v0] : ( ~ (cC84(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & cC2(v1) = v2 & rR1(v0, v1) = 0)) & ! [v0] : ( ~ (cC82(v0) = 0) | ? [v1] : (cC80(v1) = 0 & rR1(v0, v1) = 0)) & ! [v0] : ( ~ (cC80(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & ~ (v1 = 0) & cC78(v0) = v2 & cC2(v0) = v1)) & ! [v0] : ( ~ (cC78(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & cC2(v1) = v2 & rR1(v0, v1) = 0)) & ! [v0] : ( ~ (cC76(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & cC74(v0) = v1 & cC56(v0) = 0)) & ! [v0] : ( ~ (cC74(v0) = 0) | ? [v1] : (cC72(v1) = 0 & rR1(v0, v1) = 0)) & ! [v0] : ( ~ (cC70(v0) = 0) | ? [v1] : ? [v2] : (cC72(v0) = v2 & cC62(v0) = v1 & (v2 = 0 | v1 = 0))) & ! [v0] : ( ~ (cC70(v0) = 0) | ? [v1] : (cC68(v1) = 0 & rR1(v0, v1) = 0)) & ! [v0] : ( ~ (cC68(v0) = 0) | ? [v1] : (cC66(v1) = 0 & rR1(v0, v1) = 0)) & ! [v0] : ( ~ (cC66(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & cC64(v0) = 0 & cC2(v0) = v1)) & ! [v0] : ( ~ (cC64(v0) = 0) | ? [v1] : (cC2(v1) = 0 & rR1(v0, v1) = 0)) & ! [v0] : ( ~ (cC62(v0) = 0) | ? [v1] : (cC60(v1) = 0 & rR1(v0, v1) = 0)) & ! [v0] : ( ~ (cC60(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & cC58(v0) = 0 & cC2(v0) = v1)) & ! [v0] : ( ~ (cC6(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & cC2(v1) = v2 & rR1(v0, v1) = 0)) & ! [v0] : ( ~ (cC58(v0) = 0) | ? [v1] : (cC2(v1) = 0 & rR1(v0, v1) = 0)) & ! [v0] : ( ~ (cC56(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & cC54(v0) = v1 & cC46(v0) = 0)) & ! [v0] : ( ~ (cC54(v0) = 0) | ? [v1] : (cC52(v1) = 0 & rR1(v0, v1) = 0)) & ! [v0] : ( ~ (cC50(v0) = 0) | ? [v1] : (cC2(v1) = 0 & rR1(v0, v1) = 0)) & ! [v0] : ( ~ (cC48(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & cC2(v1) = v2 & rR1(v0, v1) = 0)) & ! [v0] : ( ~ (cC46(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & cC44(v0) = v1 & cC30(v0) = 0)) & ! [v0] : ( ~ (cC44(v0) = 0) | ? [v1] : (cC42(v1) = 0 & rR1(v0, v1) = 0)) & ! [v0] : ( ~ (cC40(v0) = 0) | ? [v1] : ? [v2] : (cC42(v0) = v2 & cC34(v0) = v1 & (v2 = 0 | v1 = 0))) & ! [v0] : ( ~ (cC40(v0) = 0) | ? [v1] : (cC38(v1) = 0 & rR1(v0, v1) = 0)) & ! [v0] : ( ~ (cC38(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & cC36(v1) = v2 & rR1(v0, v1) = 0)) & ! [v0] : ( ~ (cC36(v0) = 0) | ? [v1] : (cC2(v1) = 0 & rR1(v0, v1) = 0)) & ! [v0] : ( ~ (cC34(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & cC32(v1) = v2 & rR1(v0, v1) = 0)) & ! [v0] : ( ~ (cC32(v0) = 0) | ? [v1] : (cC2(v1) = 0 & rR1(v0, v1) = 0)) & ! [v0] : ( ~ (cC30(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & cC28(v0) = v1 & cC18(v0) = 0)) & ! [v0] : ( ~ (cC28(v0) = 0) | ? [v1] : (cC26(v1) = 0 & rR1(v0, v1) = 0)) & ! [v0] : ( ~ (cC24(v0) = 0) | ? [v1] : ? [v2] : (cC26(v0) = v2 & cC20(v0) = v1 & (v2 = 0 | v1 = 0))) & ! [v0] : ( ~ (cC24(v0) = 0) | ? [v1] : (cC22(v1) = 0 & rR1(v0, v1) = 0)) & ! [v0] : ( ~ (cC22(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & cC2(v1) = v2 & rR1(v0, v1) = 0)) & ! [v0] : ( ~ (cC20(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & cC2(v1) = v2 & rR1(v0, v1) = 0)) & ! [v0] : ( ~ (cC18(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & cC16(v0) = v1 & cC12(v0) = 0)) & ! [v0] : ( ~ (cC16(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & cC14(v1) = v2 & rR1(v0, v1) = 0)) & ! [v0] : ( ~ (cC14(v0) = 0) | ? [v1] : (cTOP(v1) = 0 & rR1(v0, v1) = 0)) & ! [v0] : ( ~ (cC12(v0) = 0) | ? [v1] : (rR1(v0, v1) = 0 & cC10(v1) = 0)) & ! [v0] : ( ~ (rR1(iV8474, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & cC2(v0) = v1)) & ! [v0] : ( ~ (rR1(iV8469, v0) = 0) | cC2(v0) = 0) & ! [v0] : ( ~ (rR1(iV8471, v0) = 0) | cC2(v0) = 0) & ! [v0] : ( ~ (cC8(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & cC6(v1) = v2 & rR1(v0, v1) = 0)) & ! [v0] : ( ~ (cC8(v0) = 0) | ? [v1] : ? [v2] : (cC10(v0) = v2 & cC4(v0) = v1 & ( ~ (v1 = 0) | v2 = 0))) & ! [v0] : ( ~ (cC4(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & cC2(v1) = v2 & rR1(v0, v1) = 0)) & ! [v0] : ( ~ (xsd_string(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & xsd_integer(v0) = v1)) & ! [v0] : ~ (cowlNothing(v0) = 0) & ( ~ (all_0_3_3 = 0) | ~ (all_0_4_4 = 0) | ~ (all_0_5_5 = 0) | ~ (all_0_6_6 = 0) | ~ (all_0_7_7 = 0) | ~ (all_0_8_8 = 0) | ~ (all_0_9_9 = 0) | ~ (all_0_10_10 = 0) | ~ (all_0_11_11 = 0) | ~ (all_0_12_12 = 0) | ~ (all_0_13_13 = 0) | ~ (all_0_14_14 = 0) | (xsd_string(all_0_2_2) = all_0_1_1 & xsd_integer(all_0_2_2) = all_0_0_0 & ((all_0_0_0 = 0 & all_0_1_1 = 0) | ( ~ (all_0_0_0 = 0) & ~ (all_0_1_1 = 0)))) | (cowlNothing(all_0_2_2) = all_0_0_0 & cowlThing(all_0_2_2) = all_0_1_1 & ( ~ (all_0_1_1 = 0) | all_0_0_0 = 0)))
% 44.03/12.98 |
% 44.03/12.98 | Applying alpha-rule on (1) yields:
% 44.03/12.98 | (2) cC58(iV8472) = all_0_3_3
% 44.03/12.98 | (3) ! [v0] : ( ~ (cC62(v0) = 0) | ? [v1] : (cC60(v1) = 0 & rR1(v0, v1) = 0))
% 44.03/12.98 | (4) cC2(iV8468) = all_0_22_22
% 44.03/12.98 | (5) ~ (all_0_19_19 = 0)
% 44.03/12.98 | (6) cC32(iV8474) = all_0_16_16
% 44.03/12.98 | (7) ! [v0] : ( ~ (cC90(v0) = 0) | ? [v1] : (cC88(v1) = 0 & rR1(v0, v1) = 0))
% 44.03/12.98 | (8) ! [v0] : ( ~ (cC30(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & cC28(v0) = v1 & cC18(v0) = 0))
% 44.03/12.98 | (9) ! [v0] : ! [v1] : (v1 = 0 | ~ (cC56(v0) = v1) | ? [v2] : ? [v3] : (cC54(v0) = v2 & cC46(v0) = v3 & ( ~ (v3 = 0) | v2 = 0)))
% 44.03/12.98 | (10) ~ (all_0_20_20 = 0)
% 44.03/12.98 | (11) ~ (all_0_25_25 = 0)
% 44.03/12.98 | (12) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC32(v2) = v1) | ~ (cC32(v2) = v0))
% 44.03/12.98 | (13) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC38(v2) = v1) | ~ (cC38(v2) = v0))
% 44.03/12.98 | (14) ! [v0] : ~ (cowlNothing(v0) = 0)
% 44.03/12.98 | (15) ! [v0] : ( ~ (cC84(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & cC2(v1) = v2 & rR1(v0, v1) = 0))
% 44.03/12.98 | (16) cC92(iV8467) = all_0_27_27
% 44.03/12.98 | (17) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC18(v2) = v1) | ~ (cC18(v2) = v0))
% 44.03/12.98 | (18) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC90(v0) = v1) | ~ (cC88(v2) = 0) | ? [v3] : ( ~ (v3 = 0) & rR1(v0, v2) = v3))
% 44.03/12.98 | (19) ! [v0] : ! [v1] : (v1 = 0 | ~ (cC86(v0) = v1) | ? [v2] : ? [v3] : (cC84(v0) = v2 & cC2(v0) = v3 & (v3 = 0 | v2 = 0)))
% 44.03/12.98 | (20) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC4(v2) = v1) | ~ (cC4(v2) = v0))
% 44.03/12.98 | (21) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC28(v0) = v1) | ~ (cC26(v2) = 0) | ? [v3] : ( ~ (v3 = 0) & rR1(v0, v2) = v3))
% 44.03/12.98 | (22) cowlThing(iV8471) = 0
% 44.03/12.98 | (23) ! [v0] : ! [v1] : (v1 = 0 | ~ (cC50(v0) = v1) | ? [v2] : ? [v3] : (cC52(v0) = v3 & cC48(v0) = v2 & (v3 = 0 | v2 = 0)))
% 44.03/12.98 | (24) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC60(v2) = v1) | ~ (cC60(v2) = v0))
% 44.03/12.98 | (25) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (xsd_string(v2) = v1) | ~ (xsd_string(v2) = v0))
% 44.03/12.98 | (26) cC2(iV8471) = all_0_20_20
% 44.03/12.98 | (27) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC30(v2) = v1) | ~ (cC30(v2) = v0))
% 44.03/12.98 | (28) ! [v0] : ( ~ (cC58(v0) = 0) | ? [v1] : (cC2(v1) = 0 & rR1(v0, v1) = 0))
% 44.03/12.98 | (29) ! [v0] : ( ~ (cC28(v0) = 0) | ? [v1] : (cC26(v1) = 0 & rR1(v0, v1) = 0))
% 44.03/12.98 | (30) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC20(v2) = v1) | ~ (cC20(v2) = v0))
% 44.03/12.98 | (31) ~ (all_0_24_24 = 0)
% 44.03/12.98 | (32) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC26(v2) = v1) | ~ (cC26(v2) = v0))
% 44.03/12.98 | (33) ! [v0] : ( ~ (cC44(v0) = 0) | ? [v1] : (cC42(v1) = 0 & rR1(v0, v1) = 0))
% 44.03/12.98 | (34) ! [v0] : ( ~ (cC54(v0) = 0) | ? [v1] : (cC52(v1) = 0 & rR1(v0, v1) = 0))
% 44.03/12.98 | (35) cowlThing(iV8474) = 0
% 44.03/12.98 | (36) ! [v0] : ( ~ (cC46(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & cC44(v0) = v1 & cC30(v0) = 0))
% 44.03/12.98 | (37) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (cC38(v0) = v1) | ~ (cC36(v2) = v3) | ? [v4] : ( ~ (v4 = 0) & rR1(v0, v2) = v4))
% 44.03/12.98 | (38) ! [v0] : ! [v1] : ( ~ (cC70(v0) = v1) | ? [v2] : ? [v3] : (cC72(v0) = v2 & cC62(v0) = v3 & ( ~ (v2 = 0) | (v1 = 0 & ~ (v3 = 0)))))
% 44.03/12.98 | (39) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC88(v2) = v1) | ~ (cC88(v2) = v0))
% 44.03/12.98 | (40) ! [v0] : ! [v1] : (v1 = 0 | ~ (cTEST(v0) = v1) | ? [v2] : ? [v3] : (cC94(v0) = v2 & cC76(v0) = v3 & ( ~ (v3 = 0) | v2 = 0)))
% 44.03/12.98 | (41) cC82(iV8467) = all_0_11_11
% 44.03/12.98 | (42) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cowlThing(v2) = v1) | ~ (cowlThing(v2) = v0))
% 44.03/12.98 | (43) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC12(v2) = v1) | ~ (cC12(v2) = v0))
% 44.03/12.98 | (44) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC36(v0) = v1) | ~ (cC2(v2) = 0) | ? [v3] : ( ~ (v3 = 0) & rR1(v0, v2) = v3))
% 44.03/12.98 | (45) cowlThing(iV8476) = 0
% 44.03/12.98 | (46) ! [v0] : ! [v1] : ( ~ (cC40(v0) = v1) | ? [v2] : ? [v3] : (cC42(v0) = v2 & cC34(v0) = v3 & ( ~ (v2 = 0) | (v1 = 0 & ~ (v3 = 0)))))
% 44.03/12.98 | (47) ! [v0] : ( ~ (cC8(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & cC6(v1) = v2 & rR1(v0, v1) = 0))
% 44.03/12.99 | (48) cC72(iV8467) = all_0_26_26
% 44.03/12.99 | (49) cC52(iV8467) = all_0_24_24
% 44.03/12.99 | (50) cC42(iV8467) = all_0_25_25
% 44.03/12.99 | (51) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC48(v2) = v1) | ~ (cC48(v2) = v0))
% 44.03/12.99 | (52) cC48(iV8467) = all_0_13_13
% 44.03/12.99 | (53) ! [v0] : ( ~ (xsd_string(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & xsd_integer(v0) = v1))
% 44.03/12.99 | (54) ! [v0] : ( ~ (cC48(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & cC2(v1) = v2 & rR1(v0, v1) = 0))
% 44.03/12.99 | (55) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cTOP(v2) = v1) | ~ (cTOP(v2) = v0))
% 44.03/12.99 | (56) ! [v0] : ( ~ (cC32(v0) = 0) | ? [v1] : (cC2(v1) = 0 & rR1(v0, v1) = 0))
% 44.03/12.99 | (57) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC6(v2) = v1) | ~ (cC6(v2) = v0))
% 44.03/12.99 | (58) ! [v0] : ( ~ (cC50(v0) = 0) | ? [v1] : (cC2(v1) = 0 & rR1(v0, v1) = 0))
% 44.03/12.99 | (59) ! [v0] : ( ~ (cC20(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & cC2(v1) = v2 & rR1(v0, v1) = 0))
% 44.03/12.99 | (60) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC58(v2) = v1) | ~ (cC58(v2) = v0))
% 44.03/12.99 | (61) cowlThing(iV8467) = 0
% 44.03/12.99 | (62) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cowlNothing(v2) = v1) | ~ (cowlNothing(v2) = v0))
% 44.03/12.99 | (63) ~ (all_0_27_27 = 0)
% 44.03/12.99 | (64) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (rR1(v3, v2) = v1) | ~ (rR1(v3, v2) = v0))
% 44.03/12.99 | (65) ! [v0] : ! [v1] : (v1 = 0 | ~ (cC80(v0) = v1) | ? [v2] : ? [v3] : (cC78(v0) = v3 & cC2(v0) = v2 & (v3 = 0 | v2 = 0)))
% 44.03/12.99 | (66) cC2(iV8473) = all_0_17_17
% 44.03/12.99 | (67) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC46(v2) = v1) | ~ (cC46(v2) = v0))
% 44.03/12.99 | (68) ! [v0] : ( ~ (cC36(v0) = 0) | ? [v1] : (cC2(v1) = 0 & rR1(v0, v1) = 0))
% 44.03/12.99 | (69) rR1(iV8467, iV8470) = 0
% 44.03/12.99 | (70) ! [v0] : ( ~ (cC40(v0) = 0) | ? [v1] : (cC38(v1) = 0 & rR1(v0, v1) = 0))
% 44.03/12.99 | (71) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC80(v2) = v1) | ~ (cC80(v2) = v0))
% 44.03/12.99 | (72) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (xsd_integer(v2) = v1) | ~ (xsd_integer(v2) = v0))
% 44.03/12.99 | (73) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC28(v2) = v1) | ~ (cC28(v2) = v0))
% 44.03/12.99 | (74) cC8(iV8467) = all_0_9_9
% 44.03/12.99 | (75) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC92(v2) = v1) | ~ (cC92(v2) = v0))
% 44.03/12.99 | (76) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC74(v0) = v1) | ~ (cC72(v2) = 0) | ? [v3] : ( ~ (v3 = 0) & rR1(v0, v2) = v3))
% 44.03/12.99 | (77) ! [v0] : ! [v1] : (v1 = 0 | ~ (cC30(v0) = v1) | ? [v2] : ? [v3] : (cC28(v0) = v3 & cC18(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 44.03/12.99 | (78) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC94(v2) = v1) | ~ (cC94(v2) = v0))
% 44.03/12.99 | (79) ! [v0] : ( ~ (cC80(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & ~ (v1 = 0) & cC78(v0) = v2 & cC2(v0) = v1))
% 44.03/12.99 | (80) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC68(v0) = v1) | ~ (cC66(v2) = 0) | ? [v3] : ( ~ (v3 = 0) & rR1(v0, v2) = v3))
% 44.03/12.99 | (81) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC88(v0) = v1) | ~ (cC86(v2) = 0) | ? [v3] : ( ~ (v3 = 0) & rR1(v0, v2) = v3))
% 44.03/12.99 | (82) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (cC20(v0) = v1) | ~ (cC2(v2) = v3) | ? [v4] : ( ~ (v4 = 0) & rR1(v0, v2) = v4))
% 44.03/12.99 | (83) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC40(v0) = v1) | ~ (cC38(v2) = 0) | ? [v3] : ( ~ (v3 = 0) & rR1(v0, v2) = v3))
% 44.03/12.99 | (84) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC8(v2) = v1) | ~ (cC8(v2) = v0))
% 44.03/12.99 | (85) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC10(v2) = v1) | ~ (cC10(v2) = v0))
% 44.03/12.99 | (86) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC94(v0) = v1) | ~ (cC92(v2) = 0) | ? [v3] : ( ~ (v3 = 0) & rR1(v0, v2) = v3))
% 44.03/12.99 | (87) ! [v0] : ( ~ (cC4(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & cC2(v1) = v2 & rR1(v0, v1) = 0))
% 44.03/12.99 | (88) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC64(v2) = v1) | ~ (cC64(v2) = v0))
% 44.03/12.99 | (89) cC26(iV8467) = all_0_23_23
% 44.03/12.99 | (90) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC12(v0) = v1) | ~ (cC10(v2) = 0) | ? [v3] : ( ~ (v3 = 0) & rR1(v0, v2) = v3))
% 44.03/12.99 | (91) ~ (all_0_18_18 = 0)
% 44.03/12.99 | (92) ! [v0] : ( ~ (cC90(v0) = 0) | ? [v1] : ? [v2] : (cC92(v0) = v2 & cC82(v0) = v1 & (v2 = 0 | v1 = 0)))
% 44.03/12.99 | (93) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC62(v0) = v1) | ~ (cC60(v2) = 0) | ? [v3] : ( ~ (v3 = 0) & rR1(v0, v2) = v3))
% 44.03/12.99 | (94) ! [v0] : ( ~ (cC6(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & cC2(v1) = v2 & rR1(v0, v1) = 0))
% 44.03/12.99 | (95) ! [v0] : ( ~ (cC16(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & cC14(v1) = v2 & rR1(v0, v1) = 0))
% 44.03/12.99 | (96) ! [v0] : ! [v1] : (v1 = 0 | ~ (cowlThing(v0) = v1))
% 44.03/12.99 | (97) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (cC48(v0) = v1) | ~ (cC2(v2) = v3) | ? [v4] : ( ~ (v4 = 0) & rR1(v0, v2) = v4))
% 44.03/13.00 | (98) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC90(v2) = v1) | ~ (cC90(v2) = v0))
% 44.03/13.00 | (99) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (cC84(v0) = v1) | ~ (cC2(v2) = v3) | ? [v4] : ( ~ (v4 = 0) & rR1(v0, v2) = v4))
% 44.03/13.00 | (100) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC58(v0) = v1) | ~ (cC2(v2) = 0) | ? [v3] : ( ~ (v3 = 0) & rR1(v0, v2) = v3))
% 44.03/13.00 | (101) ! [v0] : ( ~ (cC24(v0) = 0) | ? [v1] : ? [v2] : (cC26(v0) = v2 & cC20(v0) = v1 & (v2 = 0 | v1 = 0)))
% 44.03/13.00 | (102) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC24(v2) = v1) | ~ (cC24(v2) = v0))
% 44.03/13.00 | (103) rR1(iV8467, iV8473) = 0
% 44.03/13.00 | (104) ! [v0] : ( ~ (cC60(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & cC58(v0) = 0 & cC2(v0) = v1))
% 44.03/13.00 | (105) cC20(iV8467) = all_0_8_8
% 44.03/13.00 | (106) ! [v0] : ( ~ (cTEST(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & cC94(v0) = v1 & cC76(v0) = 0))
% 44.03/13.00 | (107) ! [v0] : ( ~ (cC70(v0) = 0) | ? [v1] : ? [v2] : (cC72(v0) = v2 & cC62(v0) = v1 & (v2 = 0 | v1 = 0)))
% 44.03/13.00 | (108) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC64(v0) = v1) | ~ (cC2(v2) = 0) | ? [v3] : ( ~ (v3 = 0) & rR1(v0, v2) = v3))
% 44.03/13.00 | (109) ~ (all_0_23_23 = 0)
% 44.03/13.00 | (110) cTOP(iV8470) = 0
% 44.03/13.00 | (111) ! [v0] : ! [v1] : (v1 = 0 | ~ (cC46(v0) = v1) | ? [v2] : ? [v3] : (cC44(v0) = v2 & cC30(v0) = v3 & ( ~ (v3 = 0) | v2 = 0)))
% 44.03/13.00 | (112) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC74(v2) = v1) | ~ (cC74(v2) = v0))
% 44.03/13.00 | (113) cowlThing(iV8468) = 0
% 44.03/13.00 | (114) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC72(v2) = v1) | ~ (cC72(v2) = v0))
% 44.03/13.00 | (115) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC86(v2) = v1) | ~ (cC86(v2) = v0))
% 44.56/13.00 | (116) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC44(v0) = v1) | ~ (cC42(v2) = 0) | ? [v3] : ( ~ (v3 = 0) & rR1(v0, v2) = v3))
% 44.56/13.00 | (117) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC22(v2) = v1) | ~ (cC22(v2) = v0))
% 44.56/13.00 | (118) ! [v0] : ( ~ (cC86(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & ~ (v1 = 0) & cC84(v0) = v1 & cC2(v0) = v2))
% 44.56/13.00 | (119) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC70(v0) = v1) | ~ (cC68(v2) = 0) | ? [v3] : ( ~ (v3 = 0) & rR1(v0, v2) = v3))
% 44.56/13.00 | (120) ! [v0] : ( ~ (cC88(v0) = 0) | ? [v1] : (cC86(v1) = 0 & rR1(v0, v1) = 0))
% 44.56/13.00 | (121) rR1(iV8467, iV8469) = 0
% 44.56/13.00 | (122) ! [v0] : ! [v1] : ( ~ (cC90(v0) = v1) | ? [v2] : ? [v3] : (cC92(v0) = v2 & cC82(v0) = v3 & ( ~ (v2 = 0) | (v1 = 0 & ~ (v3 = 0)))))
% 44.56/13.00 | (123) ~ (all_0_15_15 = 0)
% 44.56/13.00 | (124) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC54(v0) = v1) | ~ (cC52(v2) = 0) | ? [v3] : ( ~ (v3 = 0) & rR1(v0, v2) = v3))
% 44.56/13.00 | (125) ! [v0] : ( ~ (cC38(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & cC36(v1) = v2 & rR1(v0, v1) = 0))
% 44.56/13.00 | (126) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC82(v0) = v1) | ~ (cC80(v2) = 0) | ? [v3] : ( ~ (v3 = 0) & rR1(v0, v2) = v3))
% 44.56/13.00 | (127) cC2(iV8475) = all_0_15_15
% 44.56/13.00 | (128) rR1(iV8467, iV8468) = 0
% 44.56/13.00 | (129) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (cC16(v0) = v1) | ~ (cC14(v2) = v3) | ? [v4] : ( ~ (v4 = 0) & rR1(v0, v2) = v4))
% 44.56/13.00 | (130) rR1(iV8467, iV8474) = 0
% 44.56/13.00 | (131) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (cC6(v2) = v3) | ~ (cC8(v0) = v1) | ? [v4] : ( ~ (v4 = 0) & rR1(v0, v2) = v4))
% 44.56/13.00 | (132) ! [v0] : ( ~ (cC66(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & cC64(v0) = 0 & cC2(v0) = v1))
% 44.56/13.00 | (133) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC40(v2) = v1) | ~ (cC40(v2) = v0))
% 44.56/13.00 | (134) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (cC78(v0) = v1) | ~ (cC2(v2) = v3) | ? [v4] : ( ~ (v4 = 0) & rR1(v0, v2) = v4))
% 44.58/13.00 | (135) cowlThing(iV8469) = 0
% 44.58/13.00 | (136) ! [v0] : ( ~ (rR1(iV8469, v0) = 0) | cC2(v0) = 0)
% 44.58/13.00 | (137) ! [v0] : ( ~ (rR1(iV8474, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & cC2(v0) = v1))
% 44.58/13.00 | (138) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC70(v2) = v1) | ~ (cC70(v2) = v0))
% 44.58/13.00 | (139) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC78(v2) = v1) | ~ (cC78(v2) = v0))
% 44.58/13.00 | (140) ! [v0] : ! [v1] : ( ~ (cC24(v0) = v1) | ? [v2] : ? [v3] : (cC26(v0) = v2 & cC20(v0) = v3 & ( ~ (v2 = 0) | (v1 = 0 & ~ (v3 = 0)))))
% 44.58/13.00 | (141) ! [v0] : ! [v1] : ( ~ (cC50(v0) = v1) | ? [v2] : ? [v3] : (cC52(v0) = v2 & cC48(v0) = v3 & ( ~ (v2 = 0) | ( ~ (v3 = 0) & ~ (v1 = 0)))))
% 44.58/13.00 | (142) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC76(v2) = v1) | ~ (cC76(v2) = v0))
% 44.58/13.00 | (143) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC16(v2) = v1) | ~ (cC16(v2) = v0))
% 44.58/13.00 | (144) cC4(iV8467) = all_0_12_12
% 44.58/13.00 | (145) cC60(iV8472) = all_0_4_4
% 44.58/13.00 | (146) ! [v0] : ! [v1] : (v1 = 0 | ~ (cC18(v0) = v1) | ? [v2] : ? [v3] : (cC16(v0) = v2 & cC12(v0) = v3 & ( ~ (v3 = 0) | v2 = 0)))
% 44.58/13.00 | (147) ! [v0] : ! [v1] : (v1 = 0 | ~ (cC66(v0) = v1) | ? [v2] : ? [v3] : (cC64(v0) = v3 & cC2(v0) = v2 & ( ~ (v3 = 0) | v2 = 0)))
% 44.58/13.00 | (148) ! [v0] : ( ~ (cC8(v0) = 0) | ? [v1] : ? [v2] : (cC10(v0) = v2 & cC4(v0) = v1 & ( ~ (v1 = 0) | v2 = 0)))
% 44.58/13.00 | (149) cC2(iV8472) = all_0_18_18
% 44.58/13.00 | (150) cC80(iV8471) = all_0_5_5
% 44.58/13.00 | (151) cC6(iV8469) = all_0_21_21
% 44.58/13.00 | (152) ! [v0] : ! [v1] : (v1 = 0 | ~ (xsd_string(v0) = v1) | xsd_integer(v0) = 0)
% 44.58/13.00 | (153) ! [v0] : ! [v1] : ( ~ (cC8(v0) = v1) | ? [v2] : ? [v3] : (cC10(v0) = v2 & cC4(v0) = v3 & ( ~ (v2 = 0) | (v3 = 0 & v1 = 0))))
% 44.58/13.01 | (154) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC2(v2) = v1) | ~ (cC2(v2) = v0))
% 44.58/13.01 | (155) ! [v0] : ( ~ (cC14(v0) = 0) | ? [v1] : (cTOP(v1) = 0 & rR1(v0, v1) = 0))
% 44.58/13.01 | (156) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC52(v2) = v1) | ~ (cC52(v2) = v0))
% 44.58/13.01 | (157) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC56(v2) = v1) | ~ (cC56(v2) = v0))
% 44.58/13.01 | (158) rR1(iV8472, iV8476) = 0
% 44.58/13.01 | (159) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cTEST(v2) = v1) | ~ (cTEST(v2) = v0))
% 44.58/13.01 | (160) cowlThing(iV8470) = 0
% 44.58/13.01 | (161) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC32(v0) = v1) | ~ (cC2(v2) = 0) | ? [v3] : ( ~ (v3 = 0) & rR1(v0, v2) = v3))
% 44.58/13.01 | (162) rR1(iV8467, iV8471) = 0
% 44.58/13.01 | (163) ! [v0] : ( ~ (cC34(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & cC32(v1) = v2 & rR1(v0, v1) = 0))
% 44.58/13.01 | (164) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC14(v0) = v1) | ~ (cTOP(v2) = 0) | ? [v3] : ( ~ (v3 = 0) & rR1(v0, v2) = v3))
% 44.58/13.01 | (165) ! [v0] : ( ~ (cC24(v0) = 0) | ? [v1] : (cC22(v1) = 0 & rR1(v0, v1) = 0))
% 44.58/13.01 | (166) ! [v0] : ( ~ (cC64(v0) = 0) | ? [v1] : (cC2(v1) = 0 & rR1(v0, v1) = 0))
% 44.58/13.01 | (167) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC62(v2) = v1) | ~ (cC62(v2) = v0))
% 44.58/13.01 | (168) ~ (all_0_26_26 = 0)
% 44.58/13.01 | (169) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC14(v2) = v1) | ~ (cC14(v2) = v0))
% 44.58/13.01 | (170) rR1(iV8467, iV8472) = 0
% 44.58/13.01 | (171) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC42(v2) = v1) | ~ (cC42(v2) = v0))
% 44.58/13.01 | (172) ~ (all_0_17_17 = 0)
% 44.58/13.01 | (173) ! [v0] : ( ~ (cC76(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & cC74(v0) = v1 & cC56(v0) = 0))
% 44.58/13.01 | (174) ! [v0] : ! [v1] : (v1 = 0 | ~ (cC76(v0) = v1) | ? [v2] : ? [v3] : (cC74(v0) = v2 & cC56(v0) = v3 & ( ~ (v3 = 0) | v2 = 0)))
% 44.58/13.01 | (175) ~ (all_0_3_3 = 0) | ~ (all_0_4_4 = 0) | ~ (all_0_5_5 = 0) | ~ (all_0_6_6 = 0) | ~ (all_0_7_7 = 0) | ~ (all_0_8_8 = 0) | ~ (all_0_9_9 = 0) | ~ (all_0_10_10 = 0) | ~ (all_0_11_11 = 0) | ~ (all_0_12_12 = 0) | ~ (all_0_13_13 = 0) | ~ (all_0_14_14 = 0) | (xsd_string(all_0_2_2) = all_0_1_1 & xsd_integer(all_0_2_2) = all_0_0_0 & ((all_0_0_0 = 0 & all_0_1_1 = 0) | ( ~ (all_0_0_0 = 0) & ~ (all_0_1_1 = 0)))) | (cowlNothing(all_0_2_2) = all_0_0_0 & cowlThing(all_0_2_2) = all_0_1_1 & ( ~ (all_0_1_1 = 0) | all_0_0_0 = 0))
% 44.58/13.01 | (176) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (cC22(v0) = v1) | ~ (cC2(v2) = v3) | ? [v4] : ( ~ (v4 = 0) & rR1(v0, v2) = v4))
% 44.58/13.01 | (177) cC62(iV8467) = all_0_7_7
% 44.58/13.01 | (178) rR1(iV8467, iV8475) = 0
% 44.58/13.01 | (179) ~ (all_0_16_16 = 0)
% 44.58/13.01 | (180) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC50(v2) = v1) | ~ (cC50(v2) = v0))
% 44.58/13.01 | (181) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (cC6(v0) = v1) | ~ (cC2(v2) = v3) | ? [v4] : ( ~ (v4 = 0) & rR1(v0, v2) = v4))
% 44.58/13.01 | (182) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC82(v2) = v1) | ~ (cC82(v2) = v0))
% 44.58/13.01 | (183) ! [v0] : ( ~ (cC56(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & cC54(v0) = v1 & cC46(v0) = 0))
% 44.58/13.01 | (184) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC34(v2) = v1) | ~ (cC34(v2) = v0))
% 44.58/13.01 | (185) ! [v0] : ( ~ (cC68(v0) = 0) | ? [v1] : (cC66(v1) = 0 & rR1(v0, v1) = 0))
% 44.58/13.01 | (186) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC66(v2) = v1) | ~ (cC66(v2) = v0))
% 44.58/13.01 | (187) ~ (all_0_21_21 = 0)
% 44.58/13.01 | (188) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC44(v2) = v1) | ~ (cC44(v2) = v0))
% 44.58/13.01 | (189) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (cC34(v0) = v1) | ~ (cC32(v2) = v3) | ? [v4] : ( ~ (v4 = 0) & rR1(v0, v2) = v4))
% 44.58/13.01 | (190) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (cC2(v2) = v3) | ~ (cC4(v0) = v1) | ? [v4] : ( ~ (v4 = 0) & rR1(v0, v2) = v4))
% 44.58/13.01 | (191) ! [v0] : ( ~ (cC74(v0) = 0) | ? [v1] : (cC72(v1) = 0 & rR1(v0, v1) = 0))
% 44.58/13.01 | (192) ! [v0] : ( ~ (cC70(v0) = 0) | ? [v1] : (cC68(v1) = 0 & rR1(v0, v1) = 0))
% 44.58/13.01 | (193) ! [v0] : ( ~ (cC40(v0) = 0) | ? [v1] : ? [v2] : (cC42(v0) = v2 & cC34(v0) = v1 & (v2 = 0 | v1 = 0)))
% 44.58/13.01 | (194) ~ (all_0_22_22 = 0)
% 44.58/13.01 | (195) ! [v0] : ( ~ (cC94(v0) = 0) | ? [v1] : (cC92(v1) = 0 & rR1(v0, v1) = 0))
% 44.58/13.01 | (196) ! [v0] : ( ~ (rR1(iV8471, v0) = 0) | cC2(v0) = 0)
% 44.58/13.01 | (197) cowlThing(iV8475) = 0
% 44.58/13.01 | (198) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC36(v2) = v1) | ~ (cC36(v2) = v0))
% 44.58/13.01 | (199) cC2(iV8476) = 0
% 44.58/13.01 | (200) ! [v0] : ( ~ (cC18(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & cC16(v0) = v1 & cC12(v0) = 0))
% 44.58/13.01 | (201) cowlThing(iV8472) = 0
% 44.58/13.01 | (202) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC24(v0) = v1) | ~ (cC22(v2) = 0) | ? [v3] : ( ~ (v3 = 0) & rR1(v0, v2) = v3))
% 44.58/13.01 | (203) ! [v0] : ( ~ (cC22(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & cC2(v1) = v2 & rR1(v0, v1) = 0))
% 44.58/13.01 | (204) cC10(iV8467) = all_0_14_14
% 44.58/13.01 | (205) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC50(v0) = v1) | ~ (cC2(v2) = 0) | ? [v3] : ( ~ (v3 = 0) & rR1(v0, v2) = v3))
% 44.58/13.01 | (206) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC54(v2) = v1) | ~ (cC54(v2) = v0))
% 44.58/13.01 | (207) ! [v0] : ( ~ (cC12(v0) = 0) | ? [v1] : (rR1(v0, v1) = 0 & cC10(v1) = 0))
% 44.58/13.01 | (208) ! [v0] : ! [v1] : (v1 = 0 | ~ (cC60(v0) = v1) | ? [v2] : ? [v3] : (cC58(v0) = v2 & cC2(v0) = v3 & ( ~ (v2 = 0) | v3 = 0)))
% 44.58/13.01 | (209) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC84(v2) = v1) | ~ (cC84(v2) = v0))
% 44.58/13.01 | (210) ! [v0] : ( ~ (cC78(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & cC2(v1) = v2 & rR1(v0, v1) = 0))
% 44.58/13.01 | (211) ! [v0] : ( ~ (cC82(v0) = 0) | ? [v1] : (cC80(v1) = 0 & rR1(v0, v1) = 0))
% 44.58/13.01 | (212) cC78(iV8471) = all_0_19_19
% 44.58/13.01 | (213) cC14(iV8467) = all_0_10_10
% 44.58/13.01 | (214) cC34(iV8467) = all_0_6_6
% 44.58/13.02 | (215) cowlThing(iV8473) = 0
% 44.58/13.02 | (216) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC68(v2) = v1) | ~ (cC68(v2) = v0))
% 44.58/13.02 |
% 44.58/13.02 | Instantiating formula (126) with iV8471, all_0_11_11, iV8467 and discharging atoms cC82(iV8467) = all_0_11_11, yields:
% 44.58/13.02 | (217) all_0_11_11 = 0 | ~ (cC80(iV8471) = 0) | ? [v0] : ( ~ (v0 = 0) & rR1(iV8467, iV8471) = v0)
% 44.58/13.02 |
% 44.58/13.02 | Instantiating formula (65) with all_0_5_5, iV8471 and discharging atoms cC80(iV8471) = all_0_5_5, yields:
% 44.58/13.02 | (218) all_0_5_5 = 0 | ? [v0] : ? [v1] : (cC78(iV8471) = v1 & cC2(iV8471) = v0 & (v1 = 0 | v0 = 0))
% 44.58/13.02 |
% 44.58/13.02 | Instantiating formula (93) with iV8472, all_0_7_7, iV8467 and discharging atoms cC62(iV8467) = all_0_7_7, yields:
% 44.58/13.02 | (219) all_0_7_7 = 0 | ~ (cC60(iV8472) = 0) | ? [v0] : ( ~ (v0 = 0) & rR1(iV8467, iV8472) = v0)
% 44.58/13.02 |
% 44.58/13.02 | Instantiating formula (208) with all_0_4_4, iV8472 and discharging atoms cC60(iV8472) = all_0_4_4, yields:
% 44.58/13.02 | (220) all_0_4_4 = 0 | ? [v0] : ? [v1] : (cC58(iV8472) = v0 & cC2(iV8472) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 44.58/13.02 |
% 44.58/13.02 | Instantiating formula (28) with iV8472 yields:
% 44.58/13.02 | (221) ~ (cC58(iV8472) = 0) | ? [v0] : (cC2(v0) = 0 & rR1(iV8472, v0) = 0)
% 44.58/13.02 |
% 44.64/13.02 | Instantiating formula (189) with all_0_16_16, iV8474, all_0_6_6, iV8467 and discharging atoms cC34(iV8467) = all_0_6_6, cC32(iV8474) = all_0_16_16, yields:
% 44.64/13.02 | (222) all_0_6_6 = 0 | all_0_16_16 = 0 | ? [v0] : ( ~ (v0 = 0) & rR1(iV8467, iV8474) = v0)
% 44.64/13.02 |
% 44.64/13.02 | Instantiating formula (100) with iV8476, all_0_3_3, iV8472 and discharging atoms cC58(iV8472) = all_0_3_3, cC2(iV8476) = 0, yields:
% 44.64/13.02 | (223) all_0_3_3 = 0 | ? [v0] : ( ~ (v0 = 0) & rR1(iV8472, iV8476) = v0)
% 44.64/13.02 |
% 44.64/13.02 | Instantiating formula (161) with iV8476, all_0_16_16, iV8474 and discharging atoms cC32(iV8474) = all_0_16_16, cC2(iV8476) = 0, yields:
% 44.64/13.02 | (224) all_0_16_16 = 0 | ? [v0] : ( ~ (v0 = 0) & rR1(iV8474, iV8476) = v0)
% 44.64/13.02 |
% 44.64/13.02 | Instantiating formula (134) with all_0_18_18, iV8472, all_0_19_19, iV8471 and discharging atoms cC78(iV8471) = all_0_19_19, cC2(iV8472) = all_0_18_18, yields:
% 44.64/13.02 | (225) all_0_18_18 = 0 | all_0_19_19 = 0 | ? [v0] : ( ~ (v0 = 0) & rR1(iV8471, iV8472) = v0)
% 44.64/13.02 |
% 44.64/13.02 | Instantiating formula (181) with all_0_18_18, iV8472, all_0_21_21, iV8469 and discharging atoms cC6(iV8469) = all_0_21_21, cC2(iV8472) = all_0_18_18, yields:
% 44.64/13.02 | (226) all_0_18_18 = 0 | all_0_21_21 = 0 | ? [v0] : ( ~ (v0 = 0) & rR1(iV8469, iV8472) = v0)
% 44.64/13.02 |
% 44.64/13.02 | Instantiating formula (134) with all_0_15_15, iV8475, all_0_19_19, iV8471 and discharging atoms cC78(iV8471) = all_0_19_19, cC2(iV8475) = all_0_15_15, yields:
% 44.64/13.02 | (227) all_0_15_15 = 0 | all_0_19_19 = 0 | ? [v0] : ( ~ (v0 = 0) & rR1(iV8471, iV8475) = v0)
% 44.64/13.02 |
% 44.64/13.02 | Instantiating formula (134) with all_0_22_22, iV8468, all_0_19_19, iV8471 and discharging atoms cC78(iV8471) = all_0_19_19, cC2(iV8468) = all_0_22_22, yields:
% 44.64/13.02 | (228) all_0_19_19 = 0 | all_0_22_22 = 0 | ? [v0] : ( ~ (v0 = 0) & rR1(iV8471, iV8468) = v0)
% 44.64/13.02 |
% 44.64/13.02 | Instantiating formula (97) with all_0_22_22, iV8468, all_0_13_13, iV8467 and discharging atoms cC48(iV8467) = all_0_13_13, cC2(iV8468) = all_0_22_22, yields:
% 44.64/13.02 | (229) all_0_13_13 = 0 | all_0_22_22 = 0 | ? [v0] : ( ~ (v0 = 0) & rR1(iV8467, iV8468) = v0)
% 44.64/13.02 |
% 44.64/13.02 | Instantiating formula (82) with all_0_22_22, iV8468, all_0_8_8, iV8467 and discharging atoms cC20(iV8467) = all_0_8_8, cC2(iV8468) = all_0_22_22, yields:
% 44.64/13.02 | (230) all_0_8_8 = 0 | all_0_22_22 = 0 | ? [v0] : ( ~ (v0 = 0) & rR1(iV8467, iV8468) = v0)
% 44.64/13.02 |
% 44.64/13.02 | Instantiating formula (134) with all_0_17_17, iV8473, all_0_19_19, iV8471 and discharging atoms cC78(iV8471) = all_0_19_19, cC2(iV8473) = all_0_17_17, yields:
% 44.64/13.02 | (231) all_0_17_17 = 0 | all_0_19_19 = 0 | ? [v0] : ( ~ (v0 = 0) & rR1(iV8471, iV8473) = v0)
% 44.64/13.02 |
% 44.64/13.02 | Instantiating formula (181) with all_0_17_17, iV8473, all_0_21_21, iV8469 and discharging atoms cC6(iV8469) = all_0_21_21, cC2(iV8473) = all_0_17_17, yields:
% 44.64/13.02 | (232) all_0_17_17 = 0 | all_0_21_21 = 0 | ? [v0] : ( ~ (v0 = 0) & rR1(iV8469, iV8473) = v0)
% 44.64/13.02 |
% 44.64/13.02 | Instantiating formula (97) with all_0_17_17, iV8473, all_0_13_13, iV8467 and discharging atoms cC48(iV8467) = all_0_13_13, cC2(iV8473) = all_0_17_17, yields:
% 44.64/13.02 | (233) all_0_13_13 = 0 | all_0_17_17 = 0 | ? [v0] : ( ~ (v0 = 0) & rR1(iV8467, iV8473) = v0)
% 44.64/13.02 |
% 44.64/13.02 | Instantiating formula (82) with all_0_17_17, iV8473, all_0_8_8, iV8467 and discharging atoms cC20(iV8467) = all_0_8_8, cC2(iV8473) = all_0_17_17, yields:
% 44.64/13.02 | (234) all_0_8_8 = 0 | all_0_17_17 = 0 | ? [v0] : ( ~ (v0 = 0) & rR1(iV8467, iV8473) = v0)
% 44.64/13.02 |
% 44.64/13.02 | Instantiating formula (134) with all_0_20_20, iV8471, all_0_19_19, iV8471 and discharging atoms cC78(iV8471) = all_0_19_19, cC2(iV8471) = all_0_20_20, yields:
% 44.64/13.02 | (235) all_0_19_19 = 0 | all_0_20_20 = 0 | ? [v0] : ( ~ (v0 = 0) & rR1(iV8471, iV8471) = v0)
% 44.64/13.02 |
% 44.64/13.02 | Instantiating formula (181) with all_0_20_20, iV8471, all_0_21_21, iV8469 and discharging atoms cC6(iV8469) = all_0_21_21, cC2(iV8471) = all_0_20_20, yields:
% 44.64/13.02 | (236) all_0_20_20 = 0 | all_0_21_21 = 0 | ? [v0] : ( ~ (v0 = 0) & rR1(iV8469, iV8471) = v0)
% 44.64/13.02 |
% 44.64/13.02 | Instantiating formula (164) with iV8470, all_0_10_10, iV8467 and discharging atoms cC14(iV8467) = all_0_10_10, cTOP(iV8470) = 0, yields:
% 44.64/13.02 | (237) all_0_10_10 = 0 | ? [v0] : ( ~ (v0 = 0) & rR1(iV8467, iV8470) = v0)
% 44.64/13.02 |
% 44.64/13.02 | Instantiating formula (131) with all_0_21_21, iV8469, all_0_9_9, iV8467 and discharging atoms cC6(iV8469) = all_0_21_21, cC8(iV8467) = all_0_9_9, yields:
% 44.64/13.02 | (238) all_0_9_9 = 0 | all_0_21_21 = 0 | ? [v0] : ( ~ (v0 = 0) & rR1(iV8467, iV8469) = v0)
% 44.64/13.02 |
% 44.64/13.02 | Instantiating formula (47) with iV8467 yields:
% 44.64/13.02 | (239) ~ (cC8(iV8467) = 0) | ? [v0] : ? [v1] : ( ~ (v1 = 0) & cC6(v0) = v1 & rR1(iV8467, v0) = 0)
% 44.64/13.02 |
% 44.64/13.02 | Instantiating formula (148) with iV8467 yields:
% 44.64/13.02 | (240) ~ (cC8(iV8467) = 0) | ? [v0] : ? [v1] : (cC10(iV8467) = v1 & cC4(iV8467) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 44.64/13.02 |
% 44.64/13.02 | Instantiating formula (153) with all_0_9_9, iV8467 and discharging atoms cC8(iV8467) = all_0_9_9, yields:
% 44.64/13.02 | (241) ? [v0] : ? [v1] : (cC10(iV8467) = v0 & cC4(iV8467) = v1 & ( ~ (v0 = 0) | (v1 = 0 & all_0_9_9 = 0)))
% 44.64/13.02 |
% 44.64/13.02 | Instantiating formula (190) with all_0_20_20, iV8471, all_0_12_12, iV8467 and discharging atoms cC2(iV8471) = all_0_20_20, cC4(iV8467) = all_0_12_12, yields:
% 44.64/13.02 | (242) all_0_12_12 = 0 | all_0_20_20 = 0 | ? [v0] : ( ~ (v0 = 0) & rR1(iV8467, iV8471) = v0)
% 44.64/13.02 |
% 44.64/13.02 | Instantiating formula (87) with iV8467 yields:
% 44.64/13.02 | (243) ~ (cC4(iV8467) = 0) | ? [v0] : ? [v1] : ( ~ (v1 = 0) & cC2(v0) = v1 & rR1(iV8467, v0) = 0)
% 44.64/13.02 |
% 44.64/13.02 | Instantiating (241) with all_8_0_28, all_8_1_29 yields:
% 44.64/13.02 | (244) cC10(iV8467) = all_8_1_29 & cC4(iV8467) = all_8_0_28 & ( ~ (all_8_1_29 = 0) | (all_8_0_28 = 0 & all_0_9_9 = 0))
% 44.64/13.02 |
% 44.64/13.02 | Applying alpha-rule on (244) yields:
% 44.64/13.02 | (245) cC10(iV8467) = all_8_1_29
% 44.64/13.02 | (246) cC4(iV8467) = all_8_0_28
% 44.64/13.02 | (247) ~ (all_8_1_29 = 0) | (all_8_0_28 = 0 & all_0_9_9 = 0)
% 44.64/13.02 |
% 44.64/13.02 +-Applying beta-rule and splitting (238), into two cases.
% 44.64/13.02 |-Branch one:
% 44.64/13.02 | (248) all_0_9_9 = 0
% 44.64/13.02 |
% 44.64/13.02 | From (248) and (74) follows:
% 44.64/13.02 | (249) cC8(iV8467) = 0
% 44.64/13.02 |
% 44.64/13.03 +-Applying beta-rule and splitting (239), into two cases.
% 44.64/13.03 |-Branch one:
% 44.64/13.03 | (250) ~ (cC8(iV8467) = 0)
% 44.64/13.03 |
% 44.64/13.03 | Using (249) and (250) yields:
% 44.64/13.03 | (251) $false
% 44.64/13.03 |
% 44.64/13.03 |-The branch is then unsatisfiable
% 44.64/13.03 |-Branch two:
% 44.64/13.03 | (249) cC8(iV8467) = 0
% 44.64/13.03 | (253) ? [v0] : ? [v1] : ( ~ (v1 = 0) & cC6(v0) = v1 & rR1(iV8467, v0) = 0)
% 44.64/13.03 |
% 44.64/13.03 +-Applying beta-rule and splitting (242), into two cases.
% 44.64/13.03 |-Branch one:
% 44.64/13.03 | (254) all_0_12_12 = 0
% 44.64/13.03 |
% 44.64/13.03 | From (254) and (144) follows:
% 44.64/13.03 | (255) cC4(iV8467) = 0
% 44.64/13.03 |
% 44.64/13.03 +-Applying beta-rule and splitting (243), into two cases.
% 44.64/13.03 |-Branch one:
% 44.64/13.03 | (256) ~ (cC4(iV8467) = 0)
% 44.64/13.03 |
% 44.64/13.03 | Using (255) and (256) yields:
% 44.64/13.03 | (251) $false
% 44.64/13.03 |
% 44.64/13.03 |-The branch is then unsatisfiable
% 44.64/13.03 |-Branch two:
% 44.64/13.03 | (255) cC4(iV8467) = 0
% 44.64/13.03 | (259) ? [v0] : ? [v1] : ( ~ (v1 = 0) & cC2(v0) = v1 & rR1(iV8467, v0) = 0)
% 44.64/13.03 |
% 44.64/13.03 +-Applying beta-rule and splitting (218), into two cases.
% 44.64/13.03 |-Branch one:
% 44.64/13.03 | (260) all_0_5_5 = 0
% 44.64/13.03 |
% 44.64/13.03 | From (260) and (150) follows:
% 44.64/13.03 | (261) cC80(iV8471) = 0
% 44.64/13.03 |
% 44.64/13.03 +-Applying beta-rule and splitting (223), into two cases.
% 44.64/13.03 |-Branch one:
% 44.64/13.03 | (262) all_0_3_3 = 0
% 44.64/13.03 |
% 44.64/13.03 | From (262) and (2) follows:
% 44.64/13.03 | (263) cC58(iV8472) = 0
% 44.64/13.03 |
% 44.64/13.03 +-Applying beta-rule and splitting (224), into two cases.
% 44.64/13.03 |-Branch one:
% 44.64/13.03 | (264) all_0_16_16 = 0
% 44.64/13.03 |
% 44.64/13.03 | Equations (264) can reduce 179 to:
% 44.64/13.03 | (265) $false
% 44.64/13.03 |
% 44.64/13.03 |-The branch is then unsatisfiable
% 44.64/13.03 |-Branch two:
% 44.64/13.03 | (179) ~ (all_0_16_16 = 0)
% 44.64/13.03 | (267) ? [v0] : ( ~ (v0 = 0) & rR1(iV8474, iV8476) = v0)
% 44.64/13.03 |
% 44.64/13.03 +-Applying beta-rule and splitting (225), into two cases.
% 44.64/13.03 |-Branch one:
% 44.64/13.03 | (268) all_0_18_18 = 0
% 44.64/13.03 |
% 44.64/13.03 | Equations (268) can reduce 91 to:
% 44.64/13.03 | (265) $false
% 44.64/13.03 |
% 44.64/13.03 |-The branch is then unsatisfiable
% 44.64/13.03 |-Branch two:
% 44.64/13.03 | (91) ~ (all_0_18_18 = 0)
% 44.64/13.03 | (271) all_0_19_19 = 0 | ? [v0] : ( ~ (v0 = 0) & rR1(iV8471, iV8472) = v0)
% 44.64/13.03 |
% 44.64/13.03 +-Applying beta-rule and splitting (226), into two cases.
% 44.64/13.03 |-Branch one:
% 44.64/13.03 | (268) all_0_18_18 = 0
% 44.64/13.03 |
% 44.64/13.03 | Equations (268) can reduce 91 to:
% 44.64/13.03 | (265) $false
% 44.64/13.03 |
% 44.64/13.03 |-The branch is then unsatisfiable
% 44.64/13.03 |-Branch two:
% 44.64/13.03 | (91) ~ (all_0_18_18 = 0)
% 44.64/13.03 | (275) all_0_21_21 = 0 | ? [v0] : ( ~ (v0 = 0) & rR1(iV8469, iV8472) = v0)
% 44.64/13.03 |
% 44.64/13.03 +-Applying beta-rule and splitting (230), into two cases.
% 44.64/13.03 |-Branch one:
% 44.64/13.03 | (276) all_0_8_8 = 0
% 44.64/13.03 |
% 44.64/13.03 +-Applying beta-rule and splitting (221), into two cases.
% 44.64/13.03 |-Branch one:
% 44.64/13.03 | (277) ~ (cC58(iV8472) = 0)
% 44.64/13.03 |
% 44.64/13.03 | Using (263) and (277) yields:
% 44.64/13.03 | (251) $false
% 44.64/13.03 |
% 44.64/13.03 |-The branch is then unsatisfiable
% 44.64/13.03 |-Branch two:
% 44.64/13.03 | (263) cC58(iV8472) = 0
% 44.64/13.03 | (280) ? [v0] : (cC2(v0) = 0 & rR1(iV8472, v0) = 0)
% 44.64/13.03 |
% 44.64/13.03 +-Applying beta-rule and splitting (231), into two cases.
% 44.64/13.03 |-Branch one:
% 44.64/13.03 | (281) all_0_17_17 = 0
% 44.64/13.03 |
% 44.64/13.03 | Equations (281) can reduce 172 to:
% 44.64/13.03 | (265) $false
% 44.64/13.03 |
% 44.64/13.03 |-The branch is then unsatisfiable
% 44.64/13.03 |-Branch two:
% 44.64/13.03 | (172) ~ (all_0_17_17 = 0)
% 44.64/13.03 | (284) all_0_19_19 = 0 | ? [v0] : ( ~ (v0 = 0) & rR1(iV8471, iV8473) = v0)
% 44.64/13.03 |
% 44.64/13.03 +-Applying beta-rule and splitting (232), into two cases.
% 44.64/13.03 |-Branch one:
% 44.64/13.03 | (281) all_0_17_17 = 0
% 44.64/13.03 |
% 44.64/13.03 | Equations (281) can reduce 172 to:
% 44.64/13.03 | (265) $false
% 44.64/13.03 |
% 44.64/13.03 |-The branch is then unsatisfiable
% 44.64/13.03 |-Branch two:
% 44.64/13.03 | (172) ~ (all_0_17_17 = 0)
% 44.64/13.03 | (288) all_0_21_21 = 0 | ? [v0] : ( ~ (v0 = 0) & rR1(iV8469, iV8473) = v0)
% 44.64/13.03 |
% 44.64/13.03 +-Applying beta-rule and splitting (237), into two cases.
% 44.64/13.03 |-Branch one:
% 44.64/13.03 | (289) all_0_10_10 = 0
% 44.64/13.03 |
% 44.64/13.03 +-Applying beta-rule and splitting (229), into two cases.
% 44.64/13.03 |-Branch one:
% 44.64/13.03 | (290) all_0_13_13 = 0
% 44.64/13.03 |
% 44.64/13.03 +-Applying beta-rule and splitting (220), into two cases.
% 44.64/13.03 |-Branch one:
% 44.64/13.03 | (291) all_0_4_4 = 0
% 44.64/13.03 |
% 44.64/13.03 | From (291) and (145) follows:
% 44.64/13.03 | (292) cC60(iV8472) = 0
% 44.64/13.03 |
% 44.64/13.03 +-Applying beta-rule and splitting (222), into two cases.
% 44.64/13.03 |-Branch one:
% 44.64/13.03 | (293) all_0_6_6 = 0
% 44.64/13.03 |
% 44.64/13.03 +-Applying beta-rule and splitting (219), into two cases.
% 44.64/13.03 |-Branch one:
% 44.64/13.03 | (294) ~ (cC60(iV8472) = 0)
% 44.64/13.03 |
% 44.64/13.03 | Using (292) and (294) yields:
% 44.64/13.03 | (251) $false
% 44.64/13.03 |
% 44.64/13.03 |-The branch is then unsatisfiable
% 44.64/13.03 |-Branch two:
% 44.64/13.03 | (292) cC60(iV8472) = 0
% 44.64/13.03 | (297) all_0_7_7 = 0 | ? [v0] : ( ~ (v0 = 0) & rR1(iV8467, iV8472) = v0)
% 44.64/13.03 |
% 44.64/13.03 +-Applying beta-rule and splitting (297), into two cases.
% 44.64/13.03 |-Branch one:
% 44.64/13.03 | (298) all_0_7_7 = 0
% 44.64/13.03 |
% 44.64/13.03 +-Applying beta-rule and splitting (217), into two cases.
% 44.64/13.03 |-Branch one:
% 44.64/13.03 | (299) ~ (cC80(iV8471) = 0)
% 44.64/13.03 |
% 44.64/13.03 | Using (261) and (299) yields:
% 44.64/13.03 | (251) $false
% 44.64/13.03 |
% 44.64/13.03 |-The branch is then unsatisfiable
% 44.64/13.03 |-Branch two:
% 44.64/13.03 | (261) cC80(iV8471) = 0
% 44.64/13.03 | (302) all_0_11_11 = 0 | ? [v0] : ( ~ (v0 = 0) & rR1(iV8467, iV8471) = v0)
% 44.64/13.03 |
% 44.64/13.03 +-Applying beta-rule and splitting (302), into two cases.
% 44.64/13.03 |-Branch one:
% 44.64/13.03 | (303) all_0_11_11 = 0
% 44.64/13.03 |
% 44.64/13.03 | Instantiating formula (85) with iV8467, all_8_1_29, all_0_14_14 and discharging atoms cC10(iV8467) = all_8_1_29, cC10(iV8467) = all_0_14_14, yields:
% 44.64/13.03 | (304) all_8_1_29 = all_0_14_14
% 44.64/13.03 |
% 44.64/13.03 | Instantiating formula (20) with iV8467, 0, all_8_0_28 and discharging atoms cC4(iV8467) = all_8_0_28, cC4(iV8467) = 0, yields:
% 44.64/13.03 | (305) all_8_0_28 = 0
% 44.64/13.03 |
% 44.64/13.03 | From (304) and (245) follows:
% 44.64/13.03 | (204) cC10(iV8467) = all_0_14_14
% 44.64/13.03 |
% 44.64/13.03 | From (305) and (246) follows:
% 44.64/13.03 | (255) cC4(iV8467) = 0
% 44.64/13.03 |
% 44.64/13.03 +-Applying beta-rule and splitting (240), into two cases.
% 44.64/13.03 |-Branch one:
% 44.64/13.03 | (250) ~ (cC8(iV8467) = 0)
% 44.64/13.03 |
% 44.64/13.03 | Using (249) and (250) yields:
% 44.64/13.03 | (251) $false
% 44.64/13.03 |
% 44.64/13.03 |-The branch is then unsatisfiable
% 44.64/13.03 |-Branch two:
% 44.64/13.03 | (249) cC8(iV8467) = 0
% 44.64/13.03 | (311) ? [v0] : ? [v1] : (cC10(iV8467) = v1 & cC4(iV8467) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 44.64/13.03 |
% 44.64/13.03 | Instantiating (311) with all_237_0_55, all_237_1_56 yields:
% 44.64/13.03 | (312) cC10(iV8467) = all_237_0_55 & cC4(iV8467) = all_237_1_56 & ( ~ (all_237_1_56 = 0) | all_237_0_55 = 0)
% 44.64/13.03 |
% 44.64/13.03 | Applying alpha-rule on (312) yields:
% 44.64/13.03 | (313) cC10(iV8467) = all_237_0_55
% 44.64/13.03 | (314) cC4(iV8467) = all_237_1_56
% 44.64/13.03 | (315) ~ (all_237_1_56 = 0) | all_237_0_55 = 0
% 44.64/13.03 |
% 44.64/13.03 | Instantiating formula (85) with iV8467, all_237_0_55, all_0_14_14 and discharging atoms cC10(iV8467) = all_237_0_55, cC10(iV8467) = all_0_14_14, yields:
% 44.64/13.03 | (316) all_237_0_55 = all_0_14_14
% 44.64/13.03 |
% 44.64/13.03 | Instantiating formula (20) with iV8467, all_237_1_56, 0 and discharging atoms cC4(iV8467) = all_237_1_56, cC4(iV8467) = 0, yields:
% 44.64/13.03 | (317) all_237_1_56 = 0
% 44.64/13.03 |
% 44.64/13.03 +-Applying beta-rule and splitting (315), into two cases.
% 44.64/13.03 |-Branch one:
% 44.64/13.03 | (318) ~ (all_237_1_56 = 0)
% 44.64/13.03 |
% 44.64/13.03 | Equations (317) can reduce 318 to:
% 44.64/13.03 | (265) $false
% 44.64/13.03 |
% 44.64/13.03 |-The branch is then unsatisfiable
% 44.64/13.03 |-Branch two:
% 44.64/13.03 | (317) all_237_1_56 = 0
% 44.64/13.03 | (321) all_237_0_55 = 0
% 44.64/13.03 |
% 44.64/13.03 | Combining equations (321,316) yields a new equation:
% 44.64/13.03 | (322) all_0_14_14 = 0
% 44.64/13.03 |
% 44.64/13.03 +-Applying beta-rule and splitting (175), into two cases.
% 44.64/13.03 |-Branch one:
% 44.64/13.03 | (323) ~ (all_0_3_3 = 0)
% 44.64/13.03 |
% 44.64/13.03 | Equations (262) can reduce 323 to:
% 44.64/13.03 | (265) $false
% 44.64/13.03 |
% 44.64/13.03 |-The branch is then unsatisfiable
% 44.64/13.03 |-Branch two:
% 44.64/13.03 | (262) all_0_3_3 = 0
% 44.64/13.03 | (326) ~ (all_0_4_4 = 0) | ~ (all_0_5_5 = 0) | ~ (all_0_6_6 = 0) | ~ (all_0_7_7 = 0) | ~ (all_0_8_8 = 0) | ~ (all_0_9_9 = 0) | ~ (all_0_10_10 = 0) | ~ (all_0_11_11 = 0) | ~ (all_0_12_12 = 0) | ~ (all_0_13_13 = 0) | ~ (all_0_14_14 = 0) | (xsd_string(all_0_2_2) = all_0_1_1 & xsd_integer(all_0_2_2) = all_0_0_0 & ((all_0_0_0 = 0 & all_0_1_1 = 0) | ( ~ (all_0_0_0 = 0) & ~ (all_0_1_1 = 0)))) | (cowlNothing(all_0_2_2) = all_0_0_0 & cowlThing(all_0_2_2) = all_0_1_1 & ( ~ (all_0_1_1 = 0) | all_0_0_0 = 0))
% 44.64/13.04 |
% 44.64/13.04 +-Applying beta-rule and splitting (326), into two cases.
% 44.64/13.04 |-Branch one:
% 44.64/13.04 | (327) ~ (all_0_4_4 = 0)
% 44.64/13.04 |
% 44.64/13.04 | Equations (291) can reduce 327 to:
% 44.64/13.04 | (265) $false
% 44.64/13.04 |
% 44.64/13.04 |-The branch is then unsatisfiable
% 44.64/13.04 |-Branch two:
% 44.64/13.04 | (291) all_0_4_4 = 0
% 44.64/13.04 | (330) ~ (all_0_5_5 = 0) | ~ (all_0_6_6 = 0) | ~ (all_0_7_7 = 0) | ~ (all_0_8_8 = 0) | ~ (all_0_9_9 = 0) | ~ (all_0_10_10 = 0) | ~ (all_0_11_11 = 0) | ~ (all_0_12_12 = 0) | ~ (all_0_13_13 = 0) | ~ (all_0_14_14 = 0) | (xsd_string(all_0_2_2) = all_0_1_1 & xsd_integer(all_0_2_2) = all_0_0_0 & ((all_0_0_0 = 0 & all_0_1_1 = 0) | ( ~ (all_0_0_0 = 0) & ~ (all_0_1_1 = 0)))) | (cowlNothing(all_0_2_2) = all_0_0_0 & cowlThing(all_0_2_2) = all_0_1_1 & ( ~ (all_0_1_1 = 0) | all_0_0_0 = 0))
% 44.64/13.04 |
% 44.64/13.04 +-Applying beta-rule and splitting (330), into two cases.
% 44.64/13.04 |-Branch one:
% 44.64/13.04 | (331) ~ (all_0_5_5 = 0)
% 44.64/13.04 |
% 44.64/13.04 | Equations (260) can reduce 331 to:
% 44.64/13.04 | (265) $false
% 44.64/13.04 |
% 44.64/13.04 |-The branch is then unsatisfiable
% 44.64/13.04 |-Branch two:
% 44.64/13.04 | (260) all_0_5_5 = 0
% 44.64/13.04 | (334) ~ (all_0_6_6 = 0) | ~ (all_0_7_7 = 0) | ~ (all_0_8_8 = 0) | ~ (all_0_9_9 = 0) | ~ (all_0_10_10 = 0) | ~ (all_0_11_11 = 0) | ~ (all_0_12_12 = 0) | ~ (all_0_13_13 = 0) | ~ (all_0_14_14 = 0) | (xsd_string(all_0_2_2) = all_0_1_1 & xsd_integer(all_0_2_2) = all_0_0_0 & ((all_0_0_0 = 0 & all_0_1_1 = 0) | ( ~ (all_0_0_0 = 0) & ~ (all_0_1_1 = 0)))) | (cowlNothing(all_0_2_2) = all_0_0_0 & cowlThing(all_0_2_2) = all_0_1_1 & ( ~ (all_0_1_1 = 0) | all_0_0_0 = 0))
% 44.64/13.04 |
% 44.64/13.04 +-Applying beta-rule and splitting (334), into two cases.
% 44.64/13.04 |-Branch one:
% 44.64/13.04 | (335) ~ (all_0_6_6 = 0)
% 44.64/13.04 |
% 44.64/13.04 | Equations (293) can reduce 335 to:
% 44.64/13.04 | (265) $false
% 44.64/13.04 |
% 44.64/13.04 |-The branch is then unsatisfiable
% 44.64/13.04 |-Branch two:
% 44.64/13.04 | (293) all_0_6_6 = 0
% 44.64/13.04 | (338) ~ (all_0_7_7 = 0) | ~ (all_0_8_8 = 0) | ~ (all_0_9_9 = 0) | ~ (all_0_10_10 = 0) | ~ (all_0_11_11 = 0) | ~ (all_0_12_12 = 0) | ~ (all_0_13_13 = 0) | ~ (all_0_14_14 = 0) | (xsd_string(all_0_2_2) = all_0_1_1 & xsd_integer(all_0_2_2) = all_0_0_0 & ((all_0_0_0 = 0 & all_0_1_1 = 0) | ( ~ (all_0_0_0 = 0) & ~ (all_0_1_1 = 0)))) | (cowlNothing(all_0_2_2) = all_0_0_0 & cowlThing(all_0_2_2) = all_0_1_1 & ( ~ (all_0_1_1 = 0) | all_0_0_0 = 0))
% 44.64/13.04 |
% 44.64/13.04 +-Applying beta-rule and splitting (338), into two cases.
% 44.64/13.04 |-Branch one:
% 44.64/13.04 | (339) ~ (all_0_7_7 = 0)
% 44.64/13.04 |
% 44.64/13.04 | Equations (298) can reduce 339 to:
% 44.64/13.04 | (265) $false
% 44.64/13.04 |
% 44.64/13.04 |-The branch is then unsatisfiable
% 44.64/13.04 |-Branch two:
% 44.64/13.04 | (298) all_0_7_7 = 0
% 44.64/13.04 | (342) ~ (all_0_8_8 = 0) | ~ (all_0_9_9 = 0) | ~ (all_0_10_10 = 0) | ~ (all_0_11_11 = 0) | ~ (all_0_12_12 = 0) | ~ (all_0_13_13 = 0) | ~ (all_0_14_14 = 0) | (xsd_string(all_0_2_2) = all_0_1_1 & xsd_integer(all_0_2_2) = all_0_0_0 & ((all_0_0_0 = 0 & all_0_1_1 = 0) | ( ~ (all_0_0_0 = 0) & ~ (all_0_1_1 = 0)))) | (cowlNothing(all_0_2_2) = all_0_0_0 & cowlThing(all_0_2_2) = all_0_1_1 & ( ~ (all_0_1_1 = 0) | all_0_0_0 = 0))
% 44.64/13.04 |
% 44.64/13.04 +-Applying beta-rule and splitting (342), into two cases.
% 44.64/13.04 |-Branch one:
% 44.64/13.04 | (343) ~ (all_0_8_8 = 0)
% 44.64/13.04 |
% 44.64/13.04 | Equations (276) can reduce 343 to:
% 44.64/13.04 | (265) $false
% 44.64/13.04 |
% 44.64/13.04 |-The branch is then unsatisfiable
% 44.64/13.04 |-Branch two:
% 44.64/13.04 | (276) all_0_8_8 = 0
% 44.64/13.04 | (346) ~ (all_0_9_9 = 0) | ~ (all_0_10_10 = 0) | ~ (all_0_11_11 = 0) | ~ (all_0_12_12 = 0) | ~ (all_0_13_13 = 0) | ~ (all_0_14_14 = 0) | (xsd_string(all_0_2_2) = all_0_1_1 & xsd_integer(all_0_2_2) = all_0_0_0 & ((all_0_0_0 = 0 & all_0_1_1 = 0) | ( ~ (all_0_0_0 = 0) & ~ (all_0_1_1 = 0)))) | (cowlNothing(all_0_2_2) = all_0_0_0 & cowlThing(all_0_2_2) = all_0_1_1 & ( ~ (all_0_1_1 = 0) | all_0_0_0 = 0))
% 44.64/13.04 |
% 44.64/13.04 +-Applying beta-rule and splitting (346), into two cases.
% 44.64/13.04 |-Branch one:
% 44.64/13.04 | (347) ~ (all_0_9_9 = 0)
% 44.64/13.04 |
% 44.64/13.04 | Equations (248) can reduce 347 to:
% 44.64/13.04 | (265) $false
% 44.64/13.04 |
% 44.64/13.04 |-The branch is then unsatisfiable
% 44.64/13.04 |-Branch two:
% 44.64/13.04 | (248) all_0_9_9 = 0
% 44.64/13.04 | (350) ~ (all_0_10_10 = 0) | ~ (all_0_11_11 = 0) | ~ (all_0_12_12 = 0) | ~ (all_0_13_13 = 0) | ~ (all_0_14_14 = 0) | (xsd_string(all_0_2_2) = all_0_1_1 & xsd_integer(all_0_2_2) = all_0_0_0 & ((all_0_0_0 = 0 & all_0_1_1 = 0) | ( ~ (all_0_0_0 = 0) & ~ (all_0_1_1 = 0)))) | (cowlNothing(all_0_2_2) = all_0_0_0 & cowlThing(all_0_2_2) = all_0_1_1 & ( ~ (all_0_1_1 = 0) | all_0_0_0 = 0))
% 44.64/13.04 |
% 44.64/13.04 +-Applying beta-rule and splitting (350), into two cases.
% 44.64/13.04 |-Branch one:
% 44.64/13.04 | (351) ~ (all_0_10_10 = 0)
% 44.64/13.04 |
% 44.64/13.04 | Equations (289) can reduce 351 to:
% 44.64/13.04 | (265) $false
% 44.64/13.04 |
% 44.64/13.04 |-The branch is then unsatisfiable
% 44.64/13.04 |-Branch two:
% 44.64/13.04 | (289) all_0_10_10 = 0
% 44.64/13.04 | (354) ~ (all_0_11_11 = 0) | ~ (all_0_12_12 = 0) | ~ (all_0_13_13 = 0) | ~ (all_0_14_14 = 0) | (xsd_string(all_0_2_2) = all_0_1_1 & xsd_integer(all_0_2_2) = all_0_0_0 & ((all_0_0_0 = 0 & all_0_1_1 = 0) | ( ~ (all_0_0_0 = 0) & ~ (all_0_1_1 = 0)))) | (cowlNothing(all_0_2_2) = all_0_0_0 & cowlThing(all_0_2_2) = all_0_1_1 & ( ~ (all_0_1_1 = 0) | all_0_0_0 = 0))
% 44.64/13.04 |
% 44.64/13.04 +-Applying beta-rule and splitting (354), into two cases.
% 44.64/13.04 |-Branch one:
% 44.64/13.04 | (355) ~ (all_0_11_11 = 0)
% 44.64/13.04 |
% 44.64/13.04 | Equations (303) can reduce 355 to:
% 44.64/13.04 | (265) $false
% 44.64/13.04 |
% 44.64/13.04 |-The branch is then unsatisfiable
% 44.64/13.04 |-Branch two:
% 44.64/13.04 | (303) all_0_11_11 = 0
% 44.64/13.04 | (358) ~ (all_0_12_12 = 0) | ~ (all_0_13_13 = 0) | ~ (all_0_14_14 = 0) | (xsd_string(all_0_2_2) = all_0_1_1 & xsd_integer(all_0_2_2) = all_0_0_0 & ((all_0_0_0 = 0 & all_0_1_1 = 0) | ( ~ (all_0_0_0 = 0) & ~ (all_0_1_1 = 0)))) | (cowlNothing(all_0_2_2) = all_0_0_0 & cowlThing(all_0_2_2) = all_0_1_1 & ( ~ (all_0_1_1 = 0) | all_0_0_0 = 0))
% 44.64/13.04 |
% 44.64/13.04 +-Applying beta-rule and splitting (358), into two cases.
% 44.64/13.04 |-Branch one:
% 44.64/13.04 | (359) ~ (all_0_12_12 = 0)
% 44.64/13.04 |
% 44.64/13.04 | Equations (254) can reduce 359 to:
% 44.64/13.04 | (265) $false
% 44.64/13.04 |
% 44.64/13.04 |-The branch is then unsatisfiable
% 44.64/13.04 |-Branch two:
% 44.64/13.04 | (254) all_0_12_12 = 0
% 44.64/13.04 | (362) ~ (all_0_13_13 = 0) | ~ (all_0_14_14 = 0) | (xsd_string(all_0_2_2) = all_0_1_1 & xsd_integer(all_0_2_2) = all_0_0_0 & ((all_0_0_0 = 0 & all_0_1_1 = 0) | ( ~ (all_0_0_0 = 0) & ~ (all_0_1_1 = 0)))) | (cowlNothing(all_0_2_2) = all_0_0_0 & cowlThing(all_0_2_2) = all_0_1_1 & ( ~ (all_0_1_1 = 0) | all_0_0_0 = 0))
% 44.64/13.04 |
% 44.64/13.04 +-Applying beta-rule and splitting (362), into two cases.
% 44.64/13.04 |-Branch one:
% 44.64/13.04 | (363) ~ (all_0_13_13 = 0)
% 44.64/13.04 |
% 44.64/13.04 | Equations (290) can reduce 363 to:
% 44.64/13.04 | (265) $false
% 44.64/13.04 |
% 44.64/13.04 |-The branch is then unsatisfiable
% 44.64/13.04 |-Branch two:
% 44.64/13.04 | (290) all_0_13_13 = 0
% 44.64/13.04 | (366) ~ (all_0_14_14 = 0) | (xsd_string(all_0_2_2) = all_0_1_1 & xsd_integer(all_0_2_2) = all_0_0_0 & ((all_0_0_0 = 0 & all_0_1_1 = 0) | ( ~ (all_0_0_0 = 0) & ~ (all_0_1_1 = 0)))) | (cowlNothing(all_0_2_2) = all_0_0_0 & cowlThing(all_0_2_2) = all_0_1_1 & ( ~ (all_0_1_1 = 0) | all_0_0_0 = 0))
% 44.64/13.04 |
% 44.64/13.04 +-Applying beta-rule and splitting (366), into two cases.
% 44.64/13.04 |-Branch one:
% 44.64/13.04 | (367) ~ (all_0_14_14 = 0)
% 44.64/13.04 |
% 44.64/13.04 | Equations (322) can reduce 367 to:
% 44.64/13.04 | (265) $false
% 44.64/13.04 |
% 44.64/13.04 |-The branch is then unsatisfiable
% 44.64/13.04 |-Branch two:
% 44.64/13.04 | (322) all_0_14_14 = 0
% 44.64/13.04 | (370) (xsd_string(all_0_2_2) = all_0_1_1 & xsd_integer(all_0_2_2) = all_0_0_0 & ((all_0_0_0 = 0 & all_0_1_1 = 0) | ( ~ (all_0_0_0 = 0) & ~ (all_0_1_1 = 0)))) | (cowlNothing(all_0_2_2) = all_0_0_0 & cowlThing(all_0_2_2) = all_0_1_1 & ( ~ (all_0_1_1 = 0) | all_0_0_0 = 0))
% 44.64/13.04 |
% 44.64/13.04 +-Applying beta-rule and splitting (370), into two cases.
% 44.64/13.04 |-Branch one:
% 44.64/13.04 | (371) xsd_string(all_0_2_2) = all_0_1_1 & xsd_integer(all_0_2_2) = all_0_0_0 & ((all_0_0_0 = 0 & all_0_1_1 = 0) | ( ~ (all_0_0_0 = 0) & ~ (all_0_1_1 = 0)))
% 44.64/13.04 |
% 44.64/13.04 | Applying alpha-rule on (371) yields:
% 44.64/13.04 | (372) xsd_string(all_0_2_2) = all_0_1_1
% 44.64/13.04 | (373) xsd_integer(all_0_2_2) = all_0_0_0
% 44.64/13.04 | (374) (all_0_0_0 = 0 & all_0_1_1 = 0) | ( ~ (all_0_0_0 = 0) & ~ (all_0_1_1 = 0))
% 44.64/13.04 |
% 44.64/13.04 | Instantiating formula (53) with all_0_2_2 yields:
% 44.64/13.04 | (375) ~ (xsd_string(all_0_2_2) = 0) | ? [v0] : ( ~ (v0 = 0) & xsd_integer(all_0_2_2) = v0)
% 44.64/13.04 |
% 44.64/13.04 | Instantiating formula (152) with all_0_1_1, all_0_2_2 and discharging atoms xsd_string(all_0_2_2) = all_0_1_1, yields:
% 44.64/13.04 | (376) all_0_1_1 = 0 | xsd_integer(all_0_2_2) = 0
% 44.64/13.04 |
% 44.64/13.04 +-Applying beta-rule and splitting (374), into two cases.
% 44.64/13.04 |-Branch one:
% 44.64/13.04 | (377) all_0_0_0 = 0 & all_0_1_1 = 0
% 44.64/13.04 |
% 44.64/13.04 | Applying alpha-rule on (377) yields:
% 44.64/13.04 | (378) all_0_0_0 = 0
% 44.64/13.04 | (379) all_0_1_1 = 0
% 44.64/13.04 |
% 44.64/13.04 | From (379) and (372) follows:
% 44.64/13.04 | (380) xsd_string(all_0_2_2) = 0
% 44.64/13.04 |
% 44.64/13.04 | From (378) and (373) follows:
% 44.64/13.04 | (381) xsd_integer(all_0_2_2) = 0
% 44.64/13.04 |
% 44.64/13.04 +-Applying beta-rule and splitting (375), into two cases.
% 44.64/13.04 |-Branch one:
% 44.64/13.04 | (382) ~ (xsd_string(all_0_2_2) = 0)
% 44.64/13.04 |
% 44.64/13.04 | Using (380) and (382) yields:
% 44.64/13.04 | (251) $false
% 44.64/13.04 |
% 44.64/13.04 |-The branch is then unsatisfiable
% 44.64/13.04 |-Branch two:
% 44.64/13.04 | (380) xsd_string(all_0_2_2) = 0
% 44.64/13.04 | (385) ? [v0] : ( ~ (v0 = 0) & xsd_integer(all_0_2_2) = v0)
% 44.64/13.04 |
% 44.64/13.04 | Instantiating (385) with all_3974_0_96 yields:
% 44.64/13.04 | (386) ~ (all_3974_0_96 = 0) & xsd_integer(all_0_2_2) = all_3974_0_96
% 44.64/13.04 |
% 44.64/13.04 | Applying alpha-rule on (386) yields:
% 44.64/13.04 | (387) ~ (all_3974_0_96 = 0)
% 44.64/13.04 | (388) xsd_integer(all_0_2_2) = all_3974_0_96
% 44.64/13.04 |
% 44.64/13.04 | Instantiating formula (72) with all_0_2_2, 0, all_3974_0_96 and discharging atoms xsd_integer(all_0_2_2) = all_3974_0_96, xsd_integer(all_0_2_2) = 0, yields:
% 44.64/13.04 | (389) all_3974_0_96 = 0
% 44.64/13.04 |
% 44.64/13.04 | Equations (389) can reduce 387 to:
% 44.64/13.04 | (265) $false
% 44.64/13.04 |
% 44.64/13.04 |-The branch is then unsatisfiable
% 44.64/13.04 |-Branch two:
% 44.64/13.04 | (391) ~ (all_0_0_0 = 0) & ~ (all_0_1_1 = 0)
% 44.64/13.05 |
% 44.64/13.05 | Applying alpha-rule on (391) yields:
% 44.64/13.05 | (392) ~ (all_0_0_0 = 0)
% 44.64/13.05 | (393) ~ (all_0_1_1 = 0)
% 44.64/13.05 |
% 44.64/13.05 +-Applying beta-rule and splitting (376), into two cases.
% 44.64/13.05 |-Branch one:
% 44.64/13.05 | (381) xsd_integer(all_0_2_2) = 0
% 44.64/13.05 |
% 44.64/13.05 | Instantiating formula (72) with all_0_2_2, 0, all_0_0_0 and discharging atoms xsd_integer(all_0_2_2) = all_0_0_0, xsd_integer(all_0_2_2) = 0, yields:
% 44.64/13.05 | (378) all_0_0_0 = 0
% 44.64/13.05 |
% 44.64/13.05 | Equations (378) can reduce 392 to:
% 44.64/13.05 | (265) $false
% 44.64/13.05 |
% 44.64/13.05 |-The branch is then unsatisfiable
% 44.64/13.05 |-Branch two:
% 44.64/13.05 | (397) ~ (xsd_integer(all_0_2_2) = 0)
% 44.64/13.05 | (379) all_0_1_1 = 0
% 44.64/13.05 |
% 44.64/13.05 | Equations (379) can reduce 393 to:
% 44.64/13.05 | (265) $false
% 44.64/13.05 |
% 44.64/13.05 |-The branch is then unsatisfiable
% 44.64/13.05 |-Branch two:
% 44.64/13.05 | (400) cowlNothing(all_0_2_2) = all_0_0_0 & cowlThing(all_0_2_2) = all_0_1_1 & ( ~ (all_0_1_1 = 0) | all_0_0_0 = 0)
% 44.64/13.05 |
% 44.64/13.05 | Applying alpha-rule on (400) yields:
% 44.64/13.05 | (401) cowlNothing(all_0_2_2) = all_0_0_0
% 44.64/13.05 | (402) cowlThing(all_0_2_2) = all_0_1_1
% 44.64/13.05 | (403) ~ (all_0_1_1 = 0) | all_0_0_0 = 0
% 44.64/13.05 |
% 44.64/13.05 | Instantiating formula (14) with all_0_2_2 yields:
% 44.64/13.05 | (404) ~ (cowlNothing(all_0_2_2) = 0)
% 44.64/13.05 |
% 44.64/13.05 | Instantiating formula (96) with all_0_1_1, all_0_2_2 and discharging atoms cowlThing(all_0_2_2) = all_0_1_1, yields:
% 44.64/13.05 | (379) all_0_1_1 = 0
% 44.64/13.05 |
% 44.64/13.05 +-Applying beta-rule and splitting (403), into two cases.
% 44.64/13.05 |-Branch one:
% 44.64/13.05 | (393) ~ (all_0_1_1 = 0)
% 44.64/13.05 |
% 44.64/13.05 | Equations (379) can reduce 393 to:
% 44.64/13.05 | (265) $false
% 44.64/13.05 |
% 44.64/13.05 |-The branch is then unsatisfiable
% 44.64/13.05 |-Branch two:
% 44.64/13.05 | (379) all_0_1_1 = 0
% 44.64/13.05 | (378) all_0_0_0 = 0
% 44.64/13.05 |
% 44.64/13.05 | From (378) and (401) follows:
% 44.64/13.05 | (410) cowlNothing(all_0_2_2) = 0
% 44.64/13.05 |
% 44.64/13.05 | Using (410) and (404) yields:
% 44.64/13.05 | (251) $false
% 44.64/13.05 |
% 44.64/13.05 |-The branch is then unsatisfiable
% 44.64/13.05 |-Branch two:
% 44.64/13.05 | (355) ~ (all_0_11_11 = 0)
% 44.64/13.05 | (413) ? [v0] : ( ~ (v0 = 0) & rR1(iV8467, iV8471) = v0)
% 44.64/13.05 |
% 44.64/13.05 | Instantiating (413) with all_213_0_97 yields:
% 44.64/13.05 | (414) ~ (all_213_0_97 = 0) & rR1(iV8467, iV8471) = all_213_0_97
% 44.64/13.05 |
% 44.64/13.05 | Applying alpha-rule on (414) yields:
% 44.64/13.05 | (415) ~ (all_213_0_97 = 0)
% 44.64/13.05 | (416) rR1(iV8467, iV8471) = all_213_0_97
% 44.64/13.05 |
% 44.64/13.05 | Instantiating formula (64) with iV8467, iV8471, all_213_0_97, 0 and discharging atoms rR1(iV8467, iV8471) = all_213_0_97, rR1(iV8467, iV8471) = 0, yields:
% 44.64/13.05 | (417) all_213_0_97 = 0
% 44.64/13.05 |
% 44.64/13.05 | Equations (417) can reduce 415 to:
% 44.64/13.05 | (265) $false
% 44.64/13.05 |
% 44.64/13.05 |-The branch is then unsatisfiable
% 44.64/13.05 |-Branch two:
% 44.64/13.05 | (339) ~ (all_0_7_7 = 0)
% 44.64/13.05 | (420) ? [v0] : ( ~ (v0 = 0) & rR1(iV8467, iV8472) = v0)
% 44.64/13.05 |
% 44.64/13.05 | Instantiating (420) with all_158_0_100 yields:
% 44.64/13.05 | (421) ~ (all_158_0_100 = 0) & rR1(iV8467, iV8472) = all_158_0_100
% 44.64/13.05 |
% 44.64/13.05 | Applying alpha-rule on (421) yields:
% 44.64/13.05 | (422) ~ (all_158_0_100 = 0)
% 44.64/13.05 | (423) rR1(iV8467, iV8472) = all_158_0_100
% 44.64/13.05 |
% 44.64/13.05 | Instantiating formula (64) with iV8467, iV8472, all_158_0_100, 0 and discharging atoms rR1(iV8467, iV8472) = all_158_0_100, rR1(iV8467, iV8472) = 0, yields:
% 44.64/13.05 | (424) all_158_0_100 = 0
% 44.64/13.05 |
% 44.64/13.05 | Equations (424) can reduce 422 to:
% 44.64/13.05 | (265) $false
% 44.64/13.05 |
% 44.64/13.05 |-The branch is then unsatisfiable
% 44.64/13.05 |-Branch two:
% 44.64/13.05 | (335) ~ (all_0_6_6 = 0)
% 44.64/13.05 | (427) all_0_16_16 = 0 | ? [v0] : ( ~ (v0 = 0) & rR1(iV8467, iV8474) = v0)
% 44.64/13.05 |
% 44.64/13.05 +-Applying beta-rule and splitting (427), into two cases.
% 44.64/13.05 |-Branch one:
% 44.64/13.05 | (264) all_0_16_16 = 0
% 44.64/13.05 |
% 44.64/13.05 | Equations (264) can reduce 179 to:
% 44.64/13.05 | (265) $false
% 44.64/13.05 |
% 44.64/13.05 |-The branch is then unsatisfiable
% 44.64/13.05 |-Branch two:
% 44.64/13.05 | (179) ~ (all_0_16_16 = 0)
% 44.64/13.05 | (431) ? [v0] : ( ~ (v0 = 0) & rR1(iV8467, iV8474) = v0)
% 44.64/13.05 |
% 44.64/13.05 | Instantiating (431) with all_153_0_114 yields:
% 44.64/13.05 | (432) ~ (all_153_0_114 = 0) & rR1(iV8467, iV8474) = all_153_0_114
% 44.64/13.05 |
% 44.64/13.05 | Applying alpha-rule on (432) yields:
% 44.64/13.05 | (433) ~ (all_153_0_114 = 0)
% 44.64/13.05 | (434) rR1(iV8467, iV8474) = all_153_0_114
% 44.64/13.05 |
% 44.64/13.05 | Instantiating formula (64) with iV8467, iV8474, all_153_0_114, 0 and discharging atoms rR1(iV8467, iV8474) = all_153_0_114, rR1(iV8467, iV8474) = 0, yields:
% 44.64/13.05 | (435) all_153_0_114 = 0
% 44.64/13.05 |
% 44.64/13.05 | Equations (435) can reduce 433 to:
% 44.64/13.05 | (265) $false
% 44.64/13.05 |
% 44.64/13.05 |-The branch is then unsatisfiable
% 44.64/13.05 |-Branch two:
% 44.64/13.05 | (327) ~ (all_0_4_4 = 0)
% 44.64/13.05 | (438) ? [v0] : ? [v1] : (cC58(iV8472) = v0 & cC2(iV8472) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 44.64/13.05 |
% 44.64/13.05 | Instantiating (438) with all_131_0_127, all_131_1_128 yields:
% 44.64/13.05 | (439) cC58(iV8472) = all_131_1_128 & cC2(iV8472) = all_131_0_127 & ( ~ (all_131_1_128 = 0) | all_131_0_127 = 0)
% 44.64/13.05 |
% 44.64/13.05 | Applying alpha-rule on (439) yields:
% 44.64/13.05 | (440) cC58(iV8472) = all_131_1_128
% 44.64/13.05 | (441) cC2(iV8472) = all_131_0_127
% 44.64/13.05 | (442) ~ (all_131_1_128 = 0) | all_131_0_127 = 0
% 44.64/13.05 |
% 44.64/13.05 | Instantiating formula (60) with iV8472, 0, all_131_1_128 and discharging atoms cC58(iV8472) = all_131_1_128, cC58(iV8472) = 0, yields:
% 44.64/13.05 | (443) all_131_1_128 = 0
% 44.64/13.05 |
% 44.64/13.05 | Instantiating formula (154) with iV8472, all_131_0_127, all_0_18_18 and discharging atoms cC2(iV8472) = all_131_0_127, cC2(iV8472) = all_0_18_18, yields:
% 44.64/13.05 | (444) all_131_0_127 = all_0_18_18
% 44.64/13.05 |
% 44.64/13.05 +-Applying beta-rule and splitting (442), into two cases.
% 44.64/13.05 |-Branch one:
% 44.64/13.05 | (445) ~ (all_131_1_128 = 0)
% 44.64/13.05 |
% 44.64/13.05 | Equations (443) can reduce 445 to:
% 44.64/13.05 | (265) $false
% 44.64/13.05 |
% 44.64/13.05 |-The branch is then unsatisfiable
% 44.64/13.05 |-Branch two:
% 44.64/13.05 | (443) all_131_1_128 = 0
% 44.64/13.05 | (448) all_131_0_127 = 0
% 44.64/13.05 |
% 44.64/13.05 | Combining equations (448,444) yields a new equation:
% 44.64/13.05 | (268) all_0_18_18 = 0
% 44.64/13.05 |
% 44.64/13.05 | Equations (268) can reduce 91 to:
% 44.64/13.05 | (265) $false
% 44.64/13.05 |
% 44.64/13.05 |-The branch is then unsatisfiable
% 44.64/13.05 |-Branch two:
% 44.64/13.05 | (363) ~ (all_0_13_13 = 0)
% 44.64/13.05 | (452) all_0_22_22 = 0 | ? [v0] : ( ~ (v0 = 0) & rR1(iV8467, iV8468) = v0)
% 44.64/13.05 |
% 44.64/13.05 +-Applying beta-rule and splitting (233), into two cases.
% 44.64/13.05 |-Branch one:
% 44.64/13.05 | (290) all_0_13_13 = 0
% 44.64/13.05 |
% 44.64/13.05 | Equations (290) can reduce 363 to:
% 44.64/13.05 | (265) $false
% 44.64/13.05 |
% 44.64/13.05 |-The branch is then unsatisfiable
% 44.64/13.05 |-Branch two:
% 44.64/13.05 | (363) ~ (all_0_13_13 = 0)
% 44.64/13.05 | (456) all_0_17_17 = 0 | ? [v0] : ( ~ (v0 = 0) & rR1(iV8467, iV8473) = v0)
% 44.64/13.05 |
% 44.64/13.05 +-Applying beta-rule and splitting (456), into two cases.
% 44.64/13.05 |-Branch one:
% 44.64/13.05 | (281) all_0_17_17 = 0
% 44.64/13.05 |
% 44.64/13.05 | Equations (281) can reduce 172 to:
% 44.64/13.05 | (265) $false
% 44.64/13.05 |
% 44.64/13.05 |-The branch is then unsatisfiable
% 44.64/13.05 |-Branch two:
% 44.64/13.05 | (172) ~ (all_0_17_17 = 0)
% 44.64/13.05 | (460) ? [v0] : ( ~ (v0 = 0) & rR1(iV8467, iV8473) = v0)
% 44.64/13.05 |
% 44.64/13.05 | Instantiating (460) with all_154_0_147 yields:
% 44.64/13.05 | (461) ~ (all_154_0_147 = 0) & rR1(iV8467, iV8473) = all_154_0_147
% 44.64/13.05 |
% 44.64/13.05 | Applying alpha-rule on (461) yields:
% 44.64/13.05 | (462) ~ (all_154_0_147 = 0)
% 44.64/13.05 | (463) rR1(iV8467, iV8473) = all_154_0_147
% 44.64/13.05 |
% 44.64/13.05 | Instantiating formula (64) with iV8467, iV8473, all_154_0_147, 0 and discharging atoms rR1(iV8467, iV8473) = all_154_0_147, rR1(iV8467, iV8473) = 0, yields:
% 44.64/13.05 | (464) all_154_0_147 = 0
% 44.64/13.05 |
% 44.64/13.05 | Equations (464) can reduce 462 to:
% 44.64/13.05 | (265) $false
% 44.64/13.05 |
% 44.64/13.05 |-The branch is then unsatisfiable
% 44.64/13.05 |-Branch two:
% 44.64/13.06 | (351) ~ (all_0_10_10 = 0)
% 44.64/13.06 | (467) ? [v0] : ( ~ (v0 = 0) & rR1(iV8467, iV8470) = v0)
% 44.64/13.06 |
% 44.64/13.06 | Instantiating (467) with all_118_0_162 yields:
% 44.64/13.06 | (468) ~ (all_118_0_162 = 0) & rR1(iV8467, iV8470) = all_118_0_162
% 44.64/13.06 |
% 44.64/13.06 | Applying alpha-rule on (468) yields:
% 44.64/13.06 | (469) ~ (all_118_0_162 = 0)
% 44.64/13.06 | (470) rR1(iV8467, iV8470) = all_118_0_162
% 44.64/13.06 |
% 44.64/13.06 | Instantiating formula (64) with iV8467, iV8470, all_118_0_162, 0 and discharging atoms rR1(iV8467, iV8470) = all_118_0_162, rR1(iV8467, iV8470) = 0, yields:
% 44.64/13.06 | (471) all_118_0_162 = 0
% 44.64/13.06 |
% 44.64/13.06 | Equations (471) can reduce 469 to:
% 44.64/13.06 | (265) $false
% 44.64/13.06 |
% 44.64/13.06 |-The branch is then unsatisfiable
% 44.64/13.06 |-Branch two:
% 44.64/13.06 | (343) ~ (all_0_8_8 = 0)
% 44.64/13.06 | (452) all_0_22_22 = 0 | ? [v0] : ( ~ (v0 = 0) & rR1(iV8467, iV8468) = v0)
% 44.64/13.06 |
% 44.64/13.06 +-Applying beta-rule and splitting (231), into two cases.
% 44.64/13.06 |-Branch one:
% 44.64/13.06 | (281) all_0_17_17 = 0
% 44.64/13.06 |
% 44.64/13.06 | Equations (281) can reduce 172 to:
% 44.64/13.06 | (265) $false
% 44.64/13.06 |
% 44.64/13.06 |-The branch is then unsatisfiable
% 44.64/13.06 |-Branch two:
% 44.64/13.06 | (172) ~ (all_0_17_17 = 0)
% 44.64/13.06 | (284) all_0_19_19 = 0 | ? [v0] : ( ~ (v0 = 0) & rR1(iV8471, iV8473) = v0)
% 44.64/13.06 |
% 44.64/13.06 +-Applying beta-rule and splitting (232), into two cases.
% 44.64/13.06 |-Branch one:
% 44.64/13.06 | (281) all_0_17_17 = 0
% 44.64/13.06 |
% 44.64/13.06 | Equations (281) can reduce 172 to:
% 44.64/13.06 | (265) $false
% 44.64/13.06 |
% 44.64/13.06 |-The branch is then unsatisfiable
% 44.64/13.06 |-Branch two:
% 44.64/13.06 | (172) ~ (all_0_17_17 = 0)
% 44.64/13.06 | (288) all_0_21_21 = 0 | ? [v0] : ( ~ (v0 = 0) & rR1(iV8469, iV8473) = v0)
% 44.64/13.06 |
% 44.64/13.06 +-Applying beta-rule and splitting (234), into two cases.
% 44.64/13.06 |-Branch one:
% 44.64/13.06 | (276) all_0_8_8 = 0
% 44.64/13.06 |
% 44.64/13.06 | Equations (276) can reduce 343 to:
% 44.64/13.06 | (265) $false
% 44.64/13.06 |
% 44.64/13.06 |-The branch is then unsatisfiable
% 44.64/13.06 |-Branch two:
% 44.64/13.06 | (343) ~ (all_0_8_8 = 0)
% 44.64/13.06 | (456) all_0_17_17 = 0 | ? [v0] : ( ~ (v0 = 0) & rR1(iV8467, iV8473) = v0)
% 44.64/13.06 |
% 44.64/13.06 +-Applying beta-rule and splitting (456), into two cases.
% 44.64/13.06 |-Branch one:
% 44.64/13.06 | (281) all_0_17_17 = 0
% 44.64/13.06 |
% 44.64/13.06 | Equations (281) can reduce 172 to:
% 44.64/13.06 | (265) $false
% 44.64/13.06 |
% 44.64/13.06 |-The branch is then unsatisfiable
% 44.64/13.06 |-Branch two:
% 44.64/13.06 | (172) ~ (all_0_17_17 = 0)
% 44.64/13.06 | (460) ? [v0] : ( ~ (v0 = 0) & rR1(iV8467, iV8473) = v0)
% 44.64/13.06 |
% 44.64/13.06 | Instantiating (460) with all_138_0_182 yields:
% 44.64/13.06 | (491) ~ (all_138_0_182 = 0) & rR1(iV8467, iV8473) = all_138_0_182
% 44.64/13.06 |
% 44.64/13.06 | Applying alpha-rule on (491) yields:
% 44.64/13.06 | (492) ~ (all_138_0_182 = 0)
% 44.64/13.06 | (493) rR1(iV8467, iV8473) = all_138_0_182
% 44.64/13.06 |
% 44.64/13.06 | Instantiating formula (64) with iV8467, iV8473, all_138_0_182, 0 and discharging atoms rR1(iV8467, iV8473) = all_138_0_182, rR1(iV8467, iV8473) = 0, yields:
% 44.64/13.06 | (494) all_138_0_182 = 0
% 44.64/13.06 |
% 44.64/13.06 | Equations (494) can reduce 492 to:
% 44.64/13.06 | (265) $false
% 44.64/13.06 |
% 44.64/13.06 |-The branch is then unsatisfiable
% 44.64/13.06 |-Branch two:
% 44.64/13.06 | (323) ~ (all_0_3_3 = 0)
% 44.64/13.06 | (497) ? [v0] : ( ~ (v0 = 0) & rR1(iV8472, iV8476) = v0)
% 44.64/13.06 |
% 44.64/13.06 | Instantiating (497) with all_68_0_202 yields:
% 44.64/13.06 | (498) ~ (all_68_0_202 = 0) & rR1(iV8472, iV8476) = all_68_0_202
% 44.64/13.06 |
% 44.64/13.06 | Applying alpha-rule on (498) yields:
% 44.64/13.06 | (499) ~ (all_68_0_202 = 0)
% 44.64/13.06 | (500) rR1(iV8472, iV8476) = all_68_0_202
% 44.64/13.06 |
% 44.64/13.06 | Instantiating formula (64) with iV8472, iV8476, all_68_0_202, 0 and discharging atoms rR1(iV8472, iV8476) = all_68_0_202, rR1(iV8472, iV8476) = 0, yields:
% 44.64/13.06 | (501) all_68_0_202 = 0
% 44.64/13.06 |
% 44.64/13.06 | Equations (501) can reduce 499 to:
% 44.64/13.06 | (265) $false
% 44.64/13.06 |
% 44.64/13.06 |-The branch is then unsatisfiable
% 44.64/13.06 |-Branch two:
% 44.64/13.06 | (331) ~ (all_0_5_5 = 0)
% 44.64/13.06 | (504) ? [v0] : ? [v1] : (cC78(iV8471) = v1 & cC2(iV8471) = v0 & (v1 = 0 | v0 = 0))
% 44.64/13.06 |
% 44.64/13.06 | Instantiating (504) with all_64_0_222, all_64_1_223 yields:
% 44.64/13.06 | (505) cC78(iV8471) = all_64_0_222 & cC2(iV8471) = all_64_1_223 & (all_64_0_222 = 0 | all_64_1_223 = 0)
% 44.64/13.06 |
% 44.64/13.06 | Applying alpha-rule on (505) yields:
% 44.64/13.06 | (506) cC78(iV8471) = all_64_0_222
% 44.64/13.06 | (507) cC2(iV8471) = all_64_1_223
% 44.64/13.06 | (508) all_64_0_222 = 0 | all_64_1_223 = 0
% 44.64/13.06 |
% 44.64/13.06 +-Applying beta-rule and splitting (225), into two cases.
% 44.64/13.06 |-Branch one:
% 44.64/13.06 | (268) all_0_18_18 = 0
% 44.64/13.06 |
% 44.64/13.06 | Equations (268) can reduce 91 to:
% 44.64/13.06 | (265) $false
% 44.64/13.06 |
% 44.64/13.06 |-The branch is then unsatisfiable
% 44.64/13.06 |-Branch two:
% 44.64/13.06 | (91) ~ (all_0_18_18 = 0)
% 44.64/13.06 | (271) all_0_19_19 = 0 | ? [v0] : ( ~ (v0 = 0) & rR1(iV8471, iV8472) = v0)
% 44.64/13.06 |
% 44.64/13.06 +-Applying beta-rule and splitting (271), into two cases.
% 44.64/13.06 |-Branch one:
% 44.64/13.06 | (513) all_0_19_19 = 0
% 44.64/13.06 |
% 44.64/13.06 | Equations (513) can reduce 5 to:
% 44.64/13.06 | (265) $false
% 44.64/13.06 |
% 44.64/13.06 |-The branch is then unsatisfiable
% 44.64/13.06 |-Branch two:
% 44.64/13.06 | (5) ~ (all_0_19_19 = 0)
% 44.64/13.06 | (516) ? [v0] : ( ~ (v0 = 0) & rR1(iV8471, iV8472) = v0)
% 44.64/13.06 |
% 44.64/13.06 +-Applying beta-rule and splitting (231), into two cases.
% 44.64/13.06 |-Branch one:
% 44.64/13.06 | (281) all_0_17_17 = 0
% 44.64/13.06 |
% 44.64/13.06 | Equations (281) can reduce 172 to:
% 44.64/13.06 | (265) $false
% 44.64/13.06 |
% 44.64/13.06 |-The branch is then unsatisfiable
% 44.64/13.06 |-Branch two:
% 44.64/13.06 | (172) ~ (all_0_17_17 = 0)
% 44.64/13.06 | (284) all_0_19_19 = 0 | ? [v0] : ( ~ (v0 = 0) & rR1(iV8471, iV8473) = v0)
% 44.64/13.06 |
% 44.64/13.06 +-Applying beta-rule and splitting (235), into two cases.
% 44.64/13.06 |-Branch one:
% 44.64/13.06 | (513) all_0_19_19 = 0
% 44.64/13.06 |
% 44.64/13.06 | Equations (513) can reduce 5 to:
% 44.64/13.06 | (265) $false
% 44.64/13.06 |
% 44.64/13.06 |-The branch is then unsatisfiable
% 44.64/13.06 |-Branch two:
% 44.64/13.06 | (5) ~ (all_0_19_19 = 0)
% 44.64/13.06 | (524) all_0_20_20 = 0 | ? [v0] : ( ~ (v0 = 0) & rR1(iV8471, iV8471) = v0)
% 44.64/13.06 |
% 44.64/13.06 +-Applying beta-rule and splitting (236), into two cases.
% 44.64/13.06 |-Branch one:
% 44.64/13.06 | (525) all_0_20_20 = 0
% 44.64/13.06 |
% 44.64/13.06 | Equations (525) can reduce 10 to:
% 44.64/13.06 | (265) $false
% 44.64/13.06 |
% 44.64/13.06 |-The branch is then unsatisfiable
% 44.64/13.06 |-Branch two:
% 44.64/13.06 | (10) ~ (all_0_20_20 = 0)
% 44.64/13.06 | (528) all_0_21_21 = 0 | ? [v0] : ( ~ (v0 = 0) & rR1(iV8469, iV8471) = v0)
% 44.64/13.06 |
% 44.64/13.06 +-Applying beta-rule and splitting (524), into two cases.
% 44.64/13.06 |-Branch one:
% 44.64/13.06 | (525) all_0_20_20 = 0
% 44.64/13.06 |
% 44.64/13.06 | Equations (525) can reduce 10 to:
% 44.64/13.06 | (265) $false
% 44.64/13.06 |
% 44.64/13.06 |-The branch is then unsatisfiable
% 44.64/13.06 |-Branch two:
% 44.64/13.06 | (10) ~ (all_0_20_20 = 0)
% 44.64/13.06 | (532) ? [v0] : ( ~ (v0 = 0) & rR1(iV8471, iV8471) = v0)
% 44.64/13.06 |
% 44.64/13.06 +-Applying beta-rule and splitting (227), into two cases.
% 44.64/13.06 |-Branch one:
% 44.64/13.06 | (533) all_0_15_15 = 0
% 44.64/13.06 |
% 44.64/13.06 | Equations (533) can reduce 123 to:
% 44.64/13.06 | (265) $false
% 44.64/13.06 |
% 44.64/13.06 |-The branch is then unsatisfiable
% 44.64/13.06 |-Branch two:
% 44.64/13.06 | (123) ~ (all_0_15_15 = 0)
% 44.64/13.06 | (536) all_0_19_19 = 0 | ? [v0] : ( ~ (v0 = 0) & rR1(iV8471, iV8475) = v0)
% 44.64/13.06 |
% 44.64/13.06 +-Applying beta-rule and splitting (228), into two cases.
% 44.64/13.06 |-Branch one:
% 44.64/13.06 | (513) all_0_19_19 = 0
% 44.64/13.06 |
% 44.64/13.06 | Equations (513) can reduce 5 to:
% 44.64/13.06 | (265) $false
% 44.64/13.06 |
% 44.64/13.06 |-The branch is then unsatisfiable
% 44.64/13.06 |-Branch two:
% 44.64/13.06 | (5) ~ (all_0_19_19 = 0)
% 44.64/13.06 | (540) all_0_22_22 = 0 | ? [v0] : ( ~ (v0 = 0) & rR1(iV8471, iV8468) = v0)
% 44.64/13.06 |
% 44.64/13.06 +-Applying beta-rule and splitting (284), into two cases.
% 44.64/13.06 |-Branch one:
% 44.64/13.06 | (513) all_0_19_19 = 0
% 44.64/13.06 |
% 44.64/13.06 | Equations (513) can reduce 5 to:
% 44.64/13.06 | (265) $false
% 44.64/13.06 |
% 44.64/13.06 |-The branch is then unsatisfiable
% 44.64/13.06 |-Branch two:
% 44.64/13.06 | (5) ~ (all_0_19_19 = 0)
% 44.64/13.06 | (544) ? [v0] : ( ~ (v0 = 0) & rR1(iV8471, iV8473) = v0)
% 44.64/13.06 |
% 44.64/13.06 +-Applying beta-rule and splitting (536), into two cases.
% 44.64/13.06 |-Branch one:
% 44.64/13.06 | (513) all_0_19_19 = 0
% 44.64/13.06 |
% 44.64/13.06 | Equations (513) can reduce 5 to:
% 44.64/13.06 | (265) $false
% 44.64/13.06 |
% 44.64/13.06 |-The branch is then unsatisfiable
% 44.64/13.06 |-Branch two:
% 44.64/13.06 | (5) ~ (all_0_19_19 = 0)
% 44.64/13.06 | (548) ? [v0] : ( ~ (v0 = 0) & rR1(iV8471, iV8475) = v0)
% 44.64/13.06 |
% 44.64/13.06 | Instantiating formula (139) with iV8471, all_64_0_222, all_0_19_19 and discharging atoms cC78(iV8471) = all_64_0_222, cC78(iV8471) = all_0_19_19, yields:
% 44.64/13.06 | (549) all_64_0_222 = all_0_19_19
% 44.64/13.06 |
% 44.64/13.06 | Instantiating formula (154) with iV8471, all_64_1_223, all_0_20_20 and discharging atoms cC2(iV8471) = all_64_1_223, cC2(iV8471) = all_0_20_20, yields:
% 44.64/13.06 | (550) all_64_1_223 = all_0_20_20
% 44.64/13.06 |
% 44.64/13.06 +-Applying beta-rule and splitting (508), into two cases.
% 44.64/13.06 |-Branch one:
% 44.64/13.06 | (551) all_64_0_222 = 0
% 44.64/13.06 |
% 44.64/13.06 | Combining equations (551,549) yields a new equation:
% 44.64/13.06 | (513) all_0_19_19 = 0
% 44.64/13.06 |
% 44.64/13.06 | Equations (513) can reduce 5 to:
% 44.64/13.06 | (265) $false
% 44.64/13.06 |
% 44.64/13.06 |-The branch is then unsatisfiable
% 44.64/13.06 |-Branch two:
% 44.64/13.06 | (554) ~ (all_64_0_222 = 0)
% 44.64/13.06 | (555) all_64_1_223 = 0
% 44.64/13.06 |
% 44.64/13.06 | Combining equations (555,550) yields a new equation:
% 44.64/13.07 | (525) all_0_20_20 = 0
% 44.64/13.07 |
% 44.64/13.07 | Equations (525) can reduce 10 to:
% 44.64/13.07 | (265) $false
% 44.64/13.07 |
% 44.64/13.07 |-The branch is then unsatisfiable
% 44.64/13.07 |-Branch two:
% 44.64/13.07 | (359) ~ (all_0_12_12 = 0)
% 44.64/13.07 | (559) all_0_20_20 = 0 | ? [v0] : ( ~ (v0 = 0) & rR1(iV8467, iV8471) = v0)
% 44.64/13.07 |
% 44.64/13.07 +-Applying beta-rule and splitting (559), into two cases.
% 44.64/13.07 |-Branch one:
% 44.64/13.07 | (525) all_0_20_20 = 0
% 44.64/13.07 |
% 44.64/13.07 | Equations (525) can reduce 10 to:
% 44.64/13.07 | (265) $false
% 44.64/13.07 |
% 44.64/13.07 |-The branch is then unsatisfiable
% 44.64/13.07 |-Branch two:
% 44.64/13.07 | (10) ~ (all_0_20_20 = 0)
% 44.64/13.07 | (413) ? [v0] : ( ~ (v0 = 0) & rR1(iV8467, iV8471) = v0)
% 44.64/13.07 |
% 44.64/13.07 | Instantiating (413) with all_35_0_246 yields:
% 44.64/13.07 | (564) ~ (all_35_0_246 = 0) & rR1(iV8467, iV8471) = all_35_0_246
% 44.64/13.07 |
% 44.64/13.07 | Applying alpha-rule on (564) yields:
% 44.64/13.07 | (565) ~ (all_35_0_246 = 0)
% 44.64/13.07 | (566) rR1(iV8467, iV8471) = all_35_0_246
% 44.64/13.07 |
% 44.64/13.07 | Instantiating formula (64) with iV8467, iV8471, all_35_0_246, 0 and discharging atoms rR1(iV8467, iV8471) = all_35_0_246, rR1(iV8467, iV8471) = 0, yields:
% 44.64/13.07 | (567) all_35_0_246 = 0
% 44.64/13.07 |
% 44.64/13.07 | Equations (567) can reduce 565 to:
% 44.64/13.07 | (265) $false
% 44.64/13.07 |
% 44.64/13.07 |-The branch is then unsatisfiable
% 44.64/13.07 |-Branch two:
% 44.64/13.07 | (347) ~ (all_0_9_9 = 0)
% 44.64/13.07 | (570) all_0_21_21 = 0 | ? [v0] : ( ~ (v0 = 0) & rR1(iV8467, iV8469) = v0)
% 44.64/13.07 |
% 44.64/13.07 +-Applying beta-rule and splitting (225), into two cases.
% 44.64/13.07 |-Branch one:
% 44.64/13.07 | (268) all_0_18_18 = 0
% 44.64/13.07 |
% 44.64/13.07 | Equations (268) can reduce 91 to:
% 44.64/13.07 | (265) $false
% 44.64/13.07 |
% 44.64/13.07 |-The branch is then unsatisfiable
% 44.64/13.07 |-Branch two:
% 44.64/13.07 | (91) ~ (all_0_18_18 = 0)
% 44.64/13.07 | (271) all_0_19_19 = 0 | ? [v0] : ( ~ (v0 = 0) & rR1(iV8471, iV8472) = v0)
% 44.64/13.07 |
% 44.64/13.07 +-Applying beta-rule and splitting (226), into two cases.
% 44.64/13.07 |-Branch one:
% 44.64/13.07 | (268) all_0_18_18 = 0
% 44.64/13.07 |
% 44.64/13.07 | Equations (268) can reduce 91 to:
% 44.64/13.07 | (265) $false
% 44.64/13.07 |
% 44.64/13.07 |-The branch is then unsatisfiable
% 44.64/13.07 |-Branch two:
% 44.64/13.07 | (91) ~ (all_0_18_18 = 0)
% 44.64/13.07 | (275) all_0_21_21 = 0 | ? [v0] : ( ~ (v0 = 0) & rR1(iV8469, iV8472) = v0)
% 44.64/13.07 |
% 44.64/13.07 +-Applying beta-rule and splitting (275), into two cases.
% 44.64/13.07 |-Branch one:
% 44.64/13.07 | (579) all_0_21_21 = 0
% 44.64/13.07 |
% 44.64/13.07 | Equations (579) can reduce 187 to:
% 44.64/13.07 | (265) $false
% 44.64/13.07 |
% 44.64/13.07 |-The branch is then unsatisfiable
% 44.64/13.07 |-Branch two:
% 44.64/13.07 | (187) ~ (all_0_21_21 = 0)
% 44.64/13.07 | (582) ? [v0] : ( ~ (v0 = 0) & rR1(iV8469, iV8472) = v0)
% 44.64/13.07 |
% 44.64/13.07 +-Applying beta-rule and splitting (570), into two cases.
% 44.64/13.07 |-Branch one:
% 44.64/13.07 | (579) all_0_21_21 = 0
% 44.64/13.07 |
% 44.64/13.07 | Equations (579) can reduce 187 to:
% 44.64/13.07 | (265) $false
% 44.64/13.07 |
% 44.64/13.07 |-The branch is then unsatisfiable
% 44.64/13.07 |-Branch two:
% 44.64/13.07 | (187) ~ (all_0_21_21 = 0)
% 44.64/13.07 | (586) ? [v0] : ( ~ (v0 = 0) & rR1(iV8467, iV8469) = v0)
% 44.64/13.07 |
% 44.64/13.07 | Instantiating (586) with all_133_0_277 yields:
% 44.64/13.07 | (587) ~ (all_133_0_277 = 0) & rR1(iV8467, iV8469) = all_133_0_277
% 44.64/13.07 |
% 44.64/13.07 | Applying alpha-rule on (587) yields:
% 44.64/13.07 | (588) ~ (all_133_0_277 = 0)
% 44.64/13.07 | (589) rR1(iV8467, iV8469) = all_133_0_277
% 44.64/13.07 |
% 44.64/13.07 | Instantiating formula (64) with iV8467, iV8469, all_133_0_277, 0 and discharging atoms rR1(iV8467, iV8469) = all_133_0_277, rR1(iV8467, iV8469) = 0, yields:
% 44.64/13.07 | (590) all_133_0_277 = 0
% 44.64/13.07 |
% 44.64/13.07 | Equations (590) can reduce 588 to:
% 44.64/13.07 | (265) $false
% 44.64/13.07 |
% 44.64/13.07 |-The branch is then unsatisfiable
% 44.64/13.07 % SZS output end Proof for theBenchmark
% 44.64/13.07
% 44.64/13.07 12486ms
%------------------------------------------------------------------------------