%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : KRS158+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 02:56:44 EDT 2022 % Result : Theorem 4.34s 1.69s % Output : Proof 7.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : KRS158+1 : TPTP v8.1.0. Released v3.1.0. % 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n028.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Tue Jun 7 14:18:00 EDT 2022 % 0.12/0.33 % CPUTime : % 0.53/0.58 ____ _ % 0.53/0.58 ___ / __ \_____(_)___ ________ __________ % 0.53/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.53/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.53/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.53/0.58 % 0.53/0.58 A Theorem Prover for First-Order Logic % 0.59/0.58 (ePrincess v.1.0) % 0.59/0.58 % 0.59/0.58 (c) Philipp Rümmer, 2009-2015 % 0.59/0.58 (c) Peter Backeman, 2014-2015 % 0.59/0.58 (contributions by Angelo Brillout, Peter Baumgartner) % 0.59/0.58 Free software under GNU Lesser General Public License (LGPL). % 0.59/0.58 Bug reports to peter@backeman.se % 0.59/0.58 % 0.59/0.58 For more information, visit http://user.uu.se/~petba168/breu/ % 0.59/0.58 % 0.59/0.58 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.73/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.41/0.90 Prover 0: Preprocessing ... % 1.80/1.05 Prover 0: Warning: ignoring some quantifiers % 1.80/1.07 Prover 0: Constructing countermodel ... % 3.27/1.43 Prover 0: gave up % 3.27/1.43 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 3.27/1.46 Prover 1: Preprocessing ... % 4.19/1.60 Prover 1: Constructing countermodel ... % 4.34/1.69 Prover 1: proved (262ms) % 4.34/1.69 % 4.34/1.69 No countermodel exists, formula is valid % 4.34/1.69 % SZS status Theorem for theBenchmark % 4.34/1.69 % 4.34/1.69 Generating proof ... found it (size 123) % 6.51/2.19 % 6.51/2.19 % SZS output start Proof for theBenchmark % 6.51/2.19 Assumed formulas after preprocessing and simplification: % 6.51/2.19 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (cTEST(iV16560) = 0 & cC6(iV16561) = v4 & cC4xcomp(iV16561) = 0 & cTOP(iV16560) = 0 & cC18(iV16560) = v0 & cC8(iV16560) = v2 & cC16(iV16560) = v3 & cC14(iV16560) = v1 & cC12(iV16562) = v5 & cC10xcomp(iV16562) = 0 & rR1(iV16560, iV16561) = 0 & rR1(iV16560, iV16562) = 0 & cC2xcomp(iV16561) = 0 & cC2xcomp(iV16562) = 0 & cowlThing(iV16561) = 0 & cowlThing(iV16562) = 0 & cowlThing(iV16560) = 0 & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (ra_Px6(v12, v11) = v10) | ~ (ra_Px6(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (ra_Px1(v12, v11) = v10) | ~ (ra_Px1(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (rR1(v12, v11) = v10) | ~ (rR1(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (ra_Px3(v12, v11) = v10) | ~ (ra_Px3(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (cTEST(v11) = v10) | ~ (cTEST(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (cC6(v11) = v10) | ~ (cC6(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (cC4xcomp(v11) = v10) | ~ (cC4xcomp(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (cC4(v11) = v10) | ~ (cC4(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (cC2(v11) = v10) | ~ (cC2(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (cTOP(v11) = v10) | ~ (cTOP(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (cC18(v11) = v10) | ~ (cC18(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (cC8(v11) = v10) | ~ (cC8(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (cC16(v11) = v10) | ~ (cC16(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (cC14(v11) = v10) | ~ (cC14(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (cC12(v11) = v10) | ~ (cC12(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (cC10xcomp(v11) = v10) | ~ (cC10xcomp(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (cC2xcomp(v11) = v10) | ~ (cC2xcomp(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (cC10(v11) = v10) | ~ (cC10(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (xsd_string(v11) = v10) | ~ (xsd_string(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (xsd_integer(v11) = v10) | ~ (xsd_integer(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (cowlNothing(v11) = v10) | ~ (cowlNothing(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (cowlThing(v11) = v10) | ~ (cowlThing(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = 0 | ~ (cC6(v11) = 0) | ~ (cC8(v9) = v10) | ? [v12] : ( ~ (v12 = 0) & rR1(v9, v11) = v12)) & ! [v9] : ! [v10] : ! [v11] : (v10 = 0 | ~ (cC4(v9) = v10) | ~ (ra_Px6(v9, v11) = 0)) & ! [v9] : ! [v10] : ! [v11] : (v10 = 0 | ~ (cC4(v9) = v10) | ~ (rR1(v9, v11) = 0) | ? [v12] : ( ~ (v12 = 0) & cC2xcomp(v11) = v12)) & ! [v9] : ! [v10] : ! [v11] : (v10 = 0 | ~ (ra_Px1(v9, v11) = 0) | ~ (cC2xcomp(v9) = v10)) & ! [v9] : ! [v10] : ! [v11] : (v10 = 0 | ~ (cC14(v9) = v10) | ~ (cC12(v11) = 0) | ? [v12] : ( ~ (v12 = 0) & rR1(v9, v11) = v12)) & ! [v9] : ! [v10] : ! [v11] : (v10 = 0 | ~ (rR1(v9, v11) = 0) | ~ (cC10(v9) = v10) | ? [v12] : ( ~ (v12 = 0) & cC2xcomp(v11) = v12)) & ! [v9] : ! [v10] : ! [v11] : (v10 = 0 | ~ (cC10(v9) = v10) | ~ (ra_Px3(v9, v11) = 0)) & ! [v9] : ! [v10] : (v10 = 0 | ~ (cTEST(v9) = v10) | ? [v11] : ? [v12] : (cTOP(v9) = v11 & cC18(v9) = v12 & ( ~ (v12 = 0) | ~ (v11 = 0)))) & ! [v9] : ! [v10] : (v10 = 0 | ~ (cC6(v9) = v10) | ? [v11] : ? [v12] : (cC4xcomp(v9) = v11 & cC2xcomp(v9) = v12 & ( ~ (v12 = 0) | ~ (v11 = 0)))) & ! [v9] : ! [v10] : (v10 = 0 | ~ (cC4xcomp(v9) = v10) | ? [v11] : ra_Px6(v9, v11) = 0) & ! [v9] : ! [v10] : (v10 = 0 | ~ (cC2(v9) = v10) | ? [v11] : ra_Px1(v9, v11) = 0) & ! [v9] : ! [v10] : (v10 = 0 | ~ (cC12(v9) = v10) | ? [v11] : ? [v12] : (cC10xcomp(v9) = v11 & cC2xcomp(v9) = v12 & ( ~ (v12 = 0) | ~ (v11 = 0)))) & ! [v9] : ! [v10] : (v10 = 0 | ~ (cC10xcomp(v9) = v10) | ? [v11] : ra_Px3(v9, v11) = 0) & ! [v9] : ! [v10] : (v10 = 0 | ~ (xsd_string(v9) = v10) | xsd_integer(v9) = 0) & ! [v9] : ! [v10] : (v10 = 0 | ~ (cowlThing(v9) = v10)) & ! [v9] : ! [v10] : ( ~ (cC4xcomp(v9) = 0) | ~ (ra_Px6(v9, v10) = 0)) & ! [v9] : ! [v10] : ( ~ (cC2(v9) = 0) | ~ (ra_Px1(v9, v10) = 0)) & ! [v9] : ! [v10] : ( ~ (cTOP(v9) = v10) | ? [v11] : ? [v12] : (cC18(v9) = v11 & cC16(v9) = v12 & ( ~ (v11 = 0) | (v12 = 0 & v10 = 0)))) & ! [v9] : ! [v10] : ( ~ (cC8(v9) = v10) | ? [v11] : ? [v12] : (cC16(v9) = v11 & cC14(v9) = v12 & ( ~ (v11 = 0) | (v12 = 0 & v10 = 0)))) & ! [v9] : ! [v10] : ( ~ (cC10xcomp(v9) = 0) | ~ (ra_Px3(v9, v10) = 0)) & ! [v9] : ( ~ (cTEST(v9) = 0) | (cTOP(v9) = 0 & cC18(v9) = 0)) & ! [v9] : ( ~ (cC6(v9) = 0) | (cC4xcomp(v9) = 0 & cC2xcomp(v9) = 0)) & ! [v9] : ( ~ (cC4(v9) = 0) | ? [v10] : ra_Px6(v9, v10) = 0) & ! [v9] : ( ~ (cC4(v9) = 0) | ? [v10] : (rR1(v9, v10) = 0 & cC2xcomp(v10) = 0)) & ! [v9] : ( ~ (cTOP(v9) = 0) | ? [v10] : ? [v11] : (cC18(v9) = v11 & cC16(v9) = v10 & ( ~ (v10 = 0) | v11 = 0))) & ! [v9] : ( ~ (cC8(v9) = 0) | ? [v10] : ? [v11] : (cC16(v9) = v11 & cC14(v9) = v10 & ( ~ (v10 = 0) | v11 = 0))) & ! [v9] : ( ~ (cC8(v9) = 0) | ? [v10] : (cC6(v10) = 0 & rR1(v9, v10) = 0)) & ! [v9] : ( ~ (cC14(v9) = 0) | ? [v10] : (cC12(v10) = 0 & rR1(v9, v10) = 0)) & ! [v9] : ( ~ (cC12(v9) = 0) | (cC10xcomp(v9) = 0 & cC2xcomp(v9) = 0)) & ! [v9] : ( ~ (rR1(iV16561, v9) = 0) | cC2(v9) = 0) & ! [v9] : ( ~ (rR1(iV16562, v9) = 0) | cC2(v9) = 0) & ! [v9] : ( ~ (cC2xcomp(v9) = 0) | ? [v10] : ra_Px1(v9, v10) = 0) & ! [v9] : ( ~ (cC10(v9) = 0) | ? [v10] : (rR1(v9, v10) = 0 & cC2xcomp(v10) = 0)) & ! [v9] : ( ~ (cC10(v9) = 0) | ? [v10] : ra_Px3(v9, v10) = 0) & ! [v9] : ( ~ (xsd_string(v9) = 0) | ? [v10] : ( ~ (v10 = 0) & xsd_integer(v9) = v10)) & ! [v9] : ~ (cowlNothing(v9) = 0) & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (xsd_string(v6) = v7 & xsd_integer(v6) = v8 & ((v8 = 0 & v7 = 0) | ( ~ (v8 = 0) & ~ (v7 = 0)))) | (cowlNothing(v6) = v8 & cowlThing(v6) = v7 & ( ~ (v7 = 0) | v8 = 0)))) % 6.88/2.23 | 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 yields: % 6.88/2.23 | (1) cTEST(iV16560) = 0 & cC6(iV16561) = all_0_4_4 & cC4xcomp(iV16561) = 0 & cTOP(iV16560) = 0 & cC18(iV16560) = all_0_8_8 & cC8(iV16560) = all_0_6_6 & cC16(iV16560) = all_0_5_5 & cC14(iV16560) = all_0_7_7 & cC12(iV16562) = all_0_3_3 & cC10xcomp(iV16562) = 0 & rR1(iV16560, iV16561) = 0 & rR1(iV16560, iV16562) = 0 & cC2xcomp(iV16561) = 0 & cC2xcomp(iV16562) = 0 & cowlThing(iV16561) = 0 & cowlThing(iV16562) = 0 & cowlThing(iV16560) = 0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (ra_Px6(v3, v2) = v1) | ~ (ra_Px6(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (ra_Px1(v3, v2) = v1) | ~ (ra_Px1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (rR1(v3, v2) = v1) | ~ (rR1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (ra_Px3(v3, v2) = v1) | ~ (ra_Px3(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cTEST(v2) = v1) | ~ (cTEST(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC6(v2) = v1) | ~ (cC6(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC4xcomp(v2) = v1) | ~ (cC4xcomp(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC4(v2) = v1) | ~ (cC4(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC2(v2) = v1) | ~ (cC2(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cTOP(v2) = v1) | ~ (cTOP(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC18(v2) = v1) | ~ (cC18(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC8(v2) = v1) | ~ (cC8(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 | ~ (cC12(v2) = v1) | ~ (cC12(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC10xcomp(v2) = v1) | ~ (cC10xcomp(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC2xcomp(v2) = v1) | ~ (cC2xcomp(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC10(v2) = v1) | ~ (cC10(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 | ~ (cC6(v2) = 0) | ~ (cC8(v0) = v1) | ? [v3] : ( ~ (v3 = 0) & rR1(v0, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC4(v0) = v1) | ~ (ra_Px6(v0, v2) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC4(v0) = v1) | ~ (rR1(v0, v2) = 0) | ? [v3] : ( ~ (v3 = 0) & cC2xcomp(v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (ra_Px1(v0, v2) = 0) | ~ (cC2xcomp(v0) = v1)) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC14(v0) = v1) | ~ (cC12(v2) = 0) | ? [v3] : ( ~ (v3 = 0) & rR1(v0, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (rR1(v0, v2) = 0) | ~ (cC10(v0) = v1) | ? [v3] : ( ~ (v3 = 0) & cC2xcomp(v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC10(v0) = v1) | ~ (ra_Px3(v0, v2) = 0)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (cTEST(v0) = v1) | ? [v2] : ? [v3] : (cTOP(v0) = v2 & cC18(v0) = v3 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (cC6(v0) = v1) | ? [v2] : ? [v3] : (cC4xcomp(v0) = v2 & cC2xcomp(v0) = v3 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (cC4xcomp(v0) = v1) | ? [v2] : ra_Px6(v0, v2) = 0) & ! [v0] : ! [v1] : (v1 = 0 | ~ (cC2(v0) = v1) | ? [v2] : ra_Px1(v0, v2) = 0) & ! [v0] : ! [v1] : (v1 = 0 | ~ (cC12(v0) = v1) | ? [v2] : ? [v3] : (cC10xcomp(v0) = v2 & cC2xcomp(v0) = v3 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (cC10xcomp(v0) = v1) | ? [v2] : ra_Px3(v0, v2) = 0) & ! [v0] : ! [v1] : (v1 = 0 | ~ (xsd_string(v0) = v1) | xsd_integer(v0) = 0) & ! [v0] : ! [v1] : (v1 = 0 | ~ (cowlThing(v0) = v1)) & ! [v0] : ! [v1] : ( ~ (cC4xcomp(v0) = 0) | ~ (ra_Px6(v0, v1) = 0)) & ! [v0] : ! [v1] : ( ~ (cC2(v0) = 0) | ~ (ra_Px1(v0, v1) = 0)) & ! [v0] : ! [v1] : ( ~ (cTOP(v0) = v1) | ? [v2] : ? [v3] : (cC18(v0) = v2 & cC16(v0) = v3 & ( ~ (v2 = 0) | (v3 = 0 & v1 = 0)))) & ! [v0] : ! [v1] : ( ~ (cC8(v0) = v1) | ? [v2] : ? [v3] : (cC16(v0) = v2 & cC14(v0) = v3 & ( ~ (v2 = 0) | (v3 = 0 & v1 = 0)))) & ! [v0] : ! [v1] : ( ~ (cC10xcomp(v0) = 0) | ~ (ra_Px3(v0, v1) = 0)) & ! [v0] : ( ~ (cTEST(v0) = 0) | (cTOP(v0) = 0 & cC18(v0) = 0)) & ! [v0] : ( ~ (cC6(v0) = 0) | (cC4xcomp(v0) = 0 & cC2xcomp(v0) = 0)) & ! [v0] : ( ~ (cC4(v0) = 0) | ? [v1] : ra_Px6(v0, v1) = 0) & ! [v0] : ( ~ (cC4(v0) = 0) | ? [v1] : (rR1(v0, v1) = 0 & cC2xcomp(v1) = 0)) & ! [v0] : ( ~ (cTOP(v0) = 0) | ? [v1] : ? [v2] : (cC18(v0) = v2 & cC16(v0) = v1 & ( ~ (v1 = 0) | v2 = 0))) & ! [v0] : ( ~ (cC8(v0) = 0) | ? [v1] : ? [v2] : (cC16(v0) = v2 & cC14(v0) = v1 & ( ~ (v1 = 0) | v2 = 0))) & ! [v0] : ( ~ (cC8(v0) = 0) | ? [v1] : (cC6(v1) = 0 & rR1(v0, v1) = 0)) & ! [v0] : ( ~ (cC14(v0) = 0) | ? [v1] : (cC12(v1) = 0 & rR1(v0, v1) = 0)) & ! [v0] : ( ~ (cC12(v0) = 0) | (cC10xcomp(v0) = 0 & cC2xcomp(v0) = 0)) & ! [v0] : ( ~ (rR1(iV16561, v0) = 0) | cC2(v0) = 0) & ! [v0] : ( ~ (rR1(iV16562, v0) = 0) | cC2(v0) = 0) & ! [v0] : ( ~ (cC2xcomp(v0) = 0) | ? [v1] : ra_Px1(v0, v1) = 0) & ! [v0] : ( ~ (cC10(v0) = 0) | ? [v1] : (rR1(v0, v1) = 0 & cC2xcomp(v1) = 0)) & ! [v0] : ( ~ (cC10(v0) = 0) | ? [v1] : ra_Px3(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) | (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))) % 6.88/2.24 | % 6.88/2.24 | Applying alpha-rule on (1) yields: % 6.88/2.24 | (2) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (xsd_string(v2) = v1) | ~ (xsd_string(v2) = v0)) % 6.88/2.24 | (3) cowlThing(iV16560) = 0 % 6.88/2.24 | (4) cowlThing(iV16561) = 0 % 6.88/2.24 | (5) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cowlThing(v2) = v1) | ~ (cowlThing(v2) = v0)) % 6.88/2.24 | (6) ! [v0] : ( ~ (xsd_string(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & xsd_integer(v0) = v1)) % 6.88/2.24 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (rR1(v3, v2) = v1) | ~ (rR1(v3, v2) = v0)) % 6.88/2.24 | (8) ! [v0] : ! [v1] : ( ~ (cC2(v0) = 0) | ~ (ra_Px1(v0, v1) = 0)) % 6.88/2.24 | (9) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC18(v2) = v1) | ~ (cC18(v2) = v0)) % 6.88/2.24 | (10) ! [v0] : ( ~ (cC6(v0) = 0) | (cC4xcomp(v0) = 0 & cC2xcomp(v0) = 0)) % 6.88/2.24 | (11) cC10xcomp(iV16562) = 0 % 6.88/2.24 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (ra_Px6(v3, v2) = v1) | ~ (ra_Px6(v3, v2) = v0)) % 6.88/2.24 | (13) cC4xcomp(iV16561) = 0 % 6.88/2.24 | (14) ! [v0] : ( ~ (cC8(v0) = 0) | ? [v1] : (cC6(v1) = 0 & rR1(v0, v1) = 0)) % 6.88/2.24 | (15) ! [v0] : ~ (cowlNothing(v0) = 0) % 6.88/2.24 | (16) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (xsd_integer(v2) = v1) | ~ (xsd_integer(v2) = v0)) % 6.88/2.24 | (17) cowlThing(iV16562) = 0 % 6.88/2.24 | (18) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cTEST(v2) = v1) | ~ (cTEST(v2) = v0)) % 6.88/2.24 | (19) cC8(iV16560) = all_0_6_6 % 6.88/2.25 | (20) cC14(iV16560) = all_0_7_7 % 6.88/2.25 | (21) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC4(v0) = v1) | ~ (rR1(v0, v2) = 0) | ? [v3] : ( ~ (v3 = 0) & cC2xcomp(v2) = v3)) % 6.88/2.25 | (22) ! [v0] : ( ~ (rR1(iV16562, v0) = 0) | cC2(v0) = 0) % 6.88/2.25 | (23) ! [v0] : ! [v1] : (v1 = 0 | ~ (cC12(v0) = v1) | ? [v2] : ? [v3] : (cC10xcomp(v0) = v2 & cC2xcomp(v0) = v3 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 6.88/2.25 | (24) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC4(v2) = v1) | ~ (cC4(v2) = v0)) % 6.88/2.25 | (25) ~ (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) | (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)) % 6.88/2.25 | (26) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC14(v2) = v1) | ~ (cC14(v2) = v0)) % 6.88/2.25 | (27) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC2(v2) = v1) | ~ (cC2(v2) = v0)) % 6.88/2.25 | (28) cTEST(iV16560) = 0 % 6.88/2.25 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (ra_Px3(v3, v2) = v1) | ~ (ra_Px3(v3, v2) = v0)) % 6.88/2.25 | (30) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC16(v2) = v1) | ~ (cC16(v2) = v0)) % 6.88/2.25 | (31) ! [v0] : ( ~ (cC2xcomp(v0) = 0) | ? [v1] : ra_Px1(v0, v1) = 0) % 6.88/2.25 | (32) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC6(v2) = v1) | ~ (cC6(v2) = v0)) % 6.88/2.25 | (33) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC10(v2) = v1) | ~ (cC10(v2) = v0)) % 6.88/2.25 | (34) ! [v0] : ( ~ (cC10(v0) = 0) | ? [v1] : (rR1(v0, v1) = 0 & cC2xcomp(v1) = 0)) % 6.88/2.25 | (35) ! [v0] : ( ~ (rR1(iV16561, v0) = 0) | cC2(v0) = 0) % 6.88/2.25 | (36) rR1(iV16560, iV16561) = 0 % 6.88/2.25 | (37) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (ra_Px1(v3, v2) = v1) | ~ (ra_Px1(v3, v2) = v0)) % 6.88/2.25 | (38) ! [v0] : ! [v1] : (v1 = 0 | ~ (cC6(v0) = v1) | ? [v2] : ? [v3] : (cC4xcomp(v0) = v2 & cC2xcomp(v0) = v3 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 6.88/2.25 | (39) ! [v0] : ( ~ (cTOP(v0) = 0) | ? [v1] : ? [v2] : (cC18(v0) = v2 & cC16(v0) = v1 & ( ~ (v1 = 0) | v2 = 0))) % 6.88/2.25 | (40) ! [v0] : ! [v1] : (v1 = 0 | ~ (cC2(v0) = v1) | ? [v2] : ra_Px1(v0, v2) = 0) % 6.88/2.25 | (41) ! [v0] : ( ~ (cC10(v0) = 0) | ? [v1] : ra_Px3(v0, v1) = 0) % 6.88/2.25 | (42) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC12(v2) = v1) | ~ (cC12(v2) = v0)) % 6.88/2.25 | (43) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC8(v2) = v1) | ~ (cC8(v2) = v0)) % 6.88/2.25 | (44) ! [v0] : ( ~ (cC4(v0) = 0) | ? [v1] : ra_Px6(v0, v1) = 0) % 6.88/2.25 | (45) ! [v0] : ! [v1] : (v1 = 0 | ~ (cC4xcomp(v0) = v1) | ? [v2] : ra_Px6(v0, v2) = 0) % 6.88/2.25 | (46) cTOP(iV16560) = 0 % 6.88/2.25 | (47) ! [v0] : ! [v1] : ( ~ (cC4xcomp(v0) = 0) | ~ (ra_Px6(v0, v1) = 0)) % 6.88/2.25 | (48) ! [v0] : ! [v1] : (v1 = 0 | ~ (xsd_string(v0) = v1) | xsd_integer(v0) = 0) % 6.88/2.25 | (49) ! [v0] : ! [v1] : (v1 = 0 | ~ (cTEST(v0) = v1) | ? [v2] : ? [v3] : (cTOP(v0) = v2 & cC18(v0) = v3 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 6.88/2.25 | (50) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (ra_Px1(v0, v2) = 0) | ~ (cC2xcomp(v0) = v1)) % 6.88/2.25 | (51) cC6(iV16561) = all_0_4_4 % 6.88/2.25 | (52) ! [v0] : ! [v1] : (v1 = 0 | ~ (cowlThing(v0) = v1)) % 6.88/2.25 | (53) ! [v0] : ! [v1] : ( ~ (cC8(v0) = v1) | ? [v2] : ? [v3] : (cC16(v0) = v2 & cC14(v0) = v3 & ( ~ (v2 = 0) | (v3 = 0 & v1 = 0)))) % 6.88/2.26 | (54) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cowlNothing(v2) = v1) | ~ (cowlNothing(v2) = v0)) % 6.88/2.26 | (55) cC16(iV16560) = all_0_5_5 % 6.88/2.26 | (56) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC14(v0) = v1) | ~ (cC12(v2) = 0) | ? [v3] : ( ~ (v3 = 0) & rR1(v0, v2) = v3)) % 6.88/2.26 | (57) cC2xcomp(iV16562) = 0 % 6.88/2.26 | (58) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC10xcomp(v2) = v1) | ~ (cC10xcomp(v2) = v0)) % 6.88/2.26 | (59) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC4xcomp(v2) = v1) | ~ (cC4xcomp(v2) = v0)) % 6.88/2.26 | (60) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (rR1(v0, v2) = 0) | ~ (cC10(v0) = v1) | ? [v3] : ( ~ (v3 = 0) & cC2xcomp(v2) = v3)) % 6.88/2.26 | (61) ! [v0] : ( ~ (cC12(v0) = 0) | (cC10xcomp(v0) = 0 & cC2xcomp(v0) = 0)) % 6.88/2.26 | (62) cC18(iV16560) = all_0_8_8 % 6.88/2.26 | (63) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC6(v2) = 0) | ~ (cC8(v0) = v1) | ? [v3] : ( ~ (v3 = 0) & rR1(v0, v2) = v3)) % 6.88/2.26 | (64) ! [v0] : ( ~ (cC4(v0) = 0) | ? [v1] : (rR1(v0, v1) = 0 & cC2xcomp(v1) = 0)) % 6.88/2.26 | (65) ! [v0] : ( ~ (cC14(v0) = 0) | ? [v1] : (cC12(v1) = 0 & rR1(v0, v1) = 0)) % 6.88/2.26 | (66) ! [v0] : ( ~ (cTEST(v0) = 0) | (cTOP(v0) = 0 & cC18(v0) = 0)) % 6.88/2.26 | (67) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cC2xcomp(v2) = v1) | ~ (cC2xcomp(v2) = v0)) % 6.88/2.26 | (68) ! [v0] : ! [v1] : (v1 = 0 | ~ (cC10xcomp(v0) = v1) | ? [v2] : ra_Px3(v0, v2) = 0) % 6.88/2.26 | (69) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC10(v0) = v1) | ~ (ra_Px3(v0, v2) = 0)) % 6.88/2.26 | (70) rR1(iV16560, iV16562) = 0 % 6.88/2.26 | (71) ! [v0] : ! [v1] : ( ~ (cC10xcomp(v0) = 0) | ~ (ra_Px3(v0, v1) = 0)) % 6.88/2.26 | (72) cC12(iV16562) = all_0_3_3 % 6.88/2.26 | (73) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (cC4(v0) = v1) | ~ (ra_Px6(v0, v2) = 0)) % 6.88/2.26 | (74) ! [v0] : ( ~ (cC8(v0) = 0) | ? [v1] : ? [v2] : (cC16(v0) = v2 & cC14(v0) = v1 & ( ~ (v1 = 0) | v2 = 0))) % 6.88/2.26 | (75) ! [v0] : ! [v1] : ( ~ (cTOP(v0) = v1) | ? [v2] : ? [v3] : (cC18(v0) = v2 & cC16(v0) = v3 & ( ~ (v2 = 0) | (v3 = 0 & v1 = 0)))) % 6.88/2.26 | (76) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cTOP(v2) = v1) | ~ (cTOP(v2) = v0)) % 6.88/2.26 | (77) cC2xcomp(iV16561) = 0 % 6.88/2.26 | % 6.88/2.26 | Instantiating formula (66) with iV16560 and discharging atoms cTEST(iV16560) = 0, yields: % 6.88/2.26 | (78) cTOP(iV16560) = 0 & cC18(iV16560) = 0 % 6.88/2.26 | % 6.88/2.26 | Applying alpha-rule on (78) yields: % 6.88/2.26 | (46) cTOP(iV16560) = 0 % 6.88/2.26 | (80) cC18(iV16560) = 0 % 6.88/2.26 | % 6.88/2.26 | Instantiating formula (38) with all_0_4_4, iV16561 and discharging atoms cC6(iV16561) = all_0_4_4, yields: % 6.88/2.26 | (81) all_0_4_4 = 0 | ? [v0] : ? [v1] : (cC4xcomp(iV16561) = v0 & cC2xcomp(iV16561) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 6.88/2.26 | % 6.88/2.26 | Instantiating formula (39) with iV16560 and discharging atoms cTOP(iV16560) = 0, yields: % 6.88/2.27 | (82) ? [v0] : ? [v1] : (cC18(iV16560) = v1 & cC16(iV16560) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 6.88/2.27 | % 6.88/2.27 | Instantiating formula (75) with 0, iV16560 and discharging atoms cTOP(iV16560) = 0, yields: % 6.88/2.27 | (83) ? [v0] : ? [v1] : (cC18(iV16560) = v0 & cC16(iV16560) = v1 & ( ~ (v0 = 0) | v1 = 0)) % 6.88/2.27 | % 6.88/2.27 | Instantiating formula (63) with iV16561, all_0_6_6, iV16560 and discharging atoms cC8(iV16560) = all_0_6_6, yields: % 6.88/2.27 | (84) all_0_6_6 = 0 | ~ (cC6(iV16561) = 0) | ? [v0] : ( ~ (v0 = 0) & rR1(iV16560, iV16561) = v0) % 6.88/2.27 | % 6.88/2.27 | Instantiating formula (56) with iV16562, all_0_7_7, iV16560 and discharging atoms cC14(iV16560) = all_0_7_7, yields: % 6.88/2.27 | (85) all_0_7_7 = 0 | ~ (cC12(iV16562) = 0) | ? [v0] : ( ~ (v0 = 0) & rR1(iV16560, iV16562) = v0) % 6.88/2.27 | % 6.88/2.27 | Instantiating formula (23) with all_0_3_3, iV16562 and discharging atoms cC12(iV16562) = all_0_3_3, yields: % 6.88/2.27 | (86) all_0_3_3 = 0 | ? [v0] : ? [v1] : (cC10xcomp(iV16562) = v0 & cC2xcomp(iV16562) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 6.88/2.27 | % 6.88/2.27 | Instantiating formula (31) with iV16561 and discharging atoms cC2xcomp(iV16561) = 0, yields: % 6.88/2.27 | (87) ? [v0] : ra_Px1(iV16561, v0) = 0 % 6.88/2.27 | % 6.88/2.27 | Instantiating formula (31) with iV16562 and discharging atoms cC2xcomp(iV16562) = 0, yields: % 6.88/2.27 | (88) ? [v0] : ra_Px1(iV16562, v0) = 0 % 6.88/2.27 | % 6.88/2.27 | Instantiating (82) with all_11_0_11, all_11_1_12 yields: % 6.88/2.27 | (89) cC18(iV16560) = all_11_0_11 & cC16(iV16560) = all_11_1_12 & ( ~ (all_11_1_12 = 0) | all_11_0_11 = 0) % 6.88/2.27 | % 6.88/2.27 | Applying alpha-rule on (89) yields: % 6.88/2.27 | (90) cC18(iV16560) = all_11_0_11 % 6.88/2.27 | (91) cC16(iV16560) = all_11_1_12 % 6.88/2.27 | (92) ~ (all_11_1_12 = 0) | all_11_0_11 = 0 % 6.88/2.27 | % 6.88/2.27 | Instantiating (88) with all_13_0_13 yields: % 6.88/2.27 | (93) ra_Px1(iV16562, all_13_0_13) = 0 % 6.88/2.27 | % 6.88/2.27 | Instantiating (87) with all_15_0_14 yields: % 6.88/2.27 | (94) ra_Px1(iV16561, all_15_0_14) = 0 % 6.88/2.27 | % 6.88/2.27 | Instantiating (83) with all_17_0_15, all_17_1_16 yields: % 6.88/2.27 | (95) cC18(iV16560) = all_17_1_16 & cC16(iV16560) = all_17_0_15 & ( ~ (all_17_1_16 = 0) | all_17_0_15 = 0) % 6.88/2.27 | % 6.88/2.27 | Applying alpha-rule on (95) yields: % 6.88/2.27 | (96) cC18(iV16560) = all_17_1_16 % 6.88/2.27 | (97) cC16(iV16560) = all_17_0_15 % 6.88/2.27 | (98) ~ (all_17_1_16 = 0) | all_17_0_15 = 0 % 6.88/2.27 | % 6.88/2.27 +-Applying beta-rule and splitting (86), into two cases. % 6.88/2.27 |-Branch one: % 6.88/2.27 | (99) all_0_3_3 = 0 % 6.88/2.27 | % 6.88/2.27 | From (99) and (72) follows: % 6.88/2.27 | (100) cC12(iV16562) = 0 % 6.88/2.27 | % 6.88/2.27 +-Applying beta-rule and splitting (81), into two cases. % 6.88/2.27 |-Branch one: % 6.88/2.27 | (101) all_0_4_4 = 0 % 6.88/2.27 | % 6.88/2.27 | From (101) and (51) follows: % 6.88/2.27 | (102) cC6(iV16561) = 0 % 6.88/2.27 | % 6.88/2.27 +-Applying beta-rule and splitting (85), into two cases. % 6.88/2.27 |-Branch one: % 6.88/2.27 | (103) ~ (cC12(iV16562) = 0) % 6.88/2.27 | % 6.88/2.27 | Using (100) and (103) yields: % 6.88/2.27 | (104) $false % 6.88/2.27 | % 6.88/2.27 |-The branch is then unsatisfiable % 6.88/2.27 |-Branch two: % 6.88/2.27 | (100) cC12(iV16562) = 0 % 6.88/2.27 | (106) all_0_7_7 = 0 | ? [v0] : ( ~ (v0 = 0) & rR1(iV16560, iV16562) = v0) % 6.88/2.27 | % 6.88/2.27 +-Applying beta-rule and splitting (84), into two cases. % 6.88/2.27 |-Branch one: % 6.88/2.27 | (107) ~ (cC6(iV16561) = 0) % 6.88/2.27 | % 6.88/2.27 | Using (102) and (107) yields: % 6.88/2.27 | (104) $false % 6.88/2.27 | % 6.88/2.27 |-The branch is then unsatisfiable % 6.88/2.27 |-Branch two: % 6.88/2.27 | (102) cC6(iV16561) = 0 % 6.88/2.27 | (110) all_0_6_6 = 0 | ? [v0] : ( ~ (v0 = 0) & rR1(iV16560, iV16561) = v0) % 6.88/2.28 | % 6.88/2.28 +-Applying beta-rule and splitting (110), into two cases. % 6.88/2.28 |-Branch one: % 6.88/2.28 | (111) all_0_6_6 = 0 % 6.88/2.28 | % 6.88/2.28 +-Applying beta-rule and splitting (106), into two cases. % 6.88/2.28 |-Branch one: % 6.88/2.28 | (112) all_0_7_7 = 0 % 6.88/2.28 | % 6.88/2.28 | Instantiating formula (9) with iV16560, all_11_0_11, all_0_8_8 and discharging atoms cC18(iV16560) = all_11_0_11, cC18(iV16560) = all_0_8_8, yields: % 6.88/2.28 | (113) all_11_0_11 = all_0_8_8 % 6.88/2.28 | % 6.88/2.28 | Instantiating formula (9) with iV16560, all_11_0_11, all_17_1_16 and discharging atoms cC18(iV16560) = all_17_1_16, cC18(iV16560) = all_11_0_11, yields: % 6.88/2.28 | (114) all_17_1_16 = all_11_0_11 % 6.88/2.28 | % 6.88/2.28 | Instantiating formula (9) with iV16560, 0, all_17_1_16 and discharging atoms cC18(iV16560) = all_17_1_16, cC18(iV16560) = 0, yields: % 6.88/2.28 | (115) all_17_1_16 = 0 % 6.88/2.28 | % 6.88/2.28 | Instantiating formula (30) with iV16560, all_17_0_15, all_0_5_5 and discharging atoms cC16(iV16560) = all_17_0_15, cC16(iV16560) = all_0_5_5, yields: % 6.88/2.28 | (116) all_17_0_15 = all_0_5_5 % 6.88/2.28 | % 6.88/2.28 | Instantiating formula (30) with iV16560, all_11_1_12, all_17_0_15 and discharging atoms cC16(iV16560) = all_17_0_15, cC16(iV16560) = all_11_1_12, yields: % 6.88/2.28 | (117) all_17_0_15 = all_11_1_12 % 6.88/2.28 | % 6.88/2.28 | Combining equations (116,117) yields a new equation: % 6.88/2.28 | (118) all_11_1_12 = all_0_5_5 % 6.88/2.28 | % 6.88/2.28 | Combining equations (114,115) yields a new equation: % 6.88/2.28 | (119) all_11_0_11 = 0 % 6.88/2.28 | % 6.88/2.28 | Simplifying 119 yields: % 6.88/2.28 | (120) all_11_0_11 = 0 % 6.88/2.28 | % 6.88/2.28 | Combining equations (113,120) yields a new equation: % 6.88/2.28 | (121) all_0_8_8 = 0 % 6.88/2.28 | % 6.88/2.28 | Simplifying 121 yields: % 6.88/2.28 | (122) all_0_8_8 = 0 % 6.88/2.28 | % 6.88/2.28 | Combining equations (118,117) yields a new equation: % 6.88/2.28 | (116) all_17_0_15 = all_0_5_5 % 6.88/2.28 | % 6.88/2.28 +-Applying beta-rule and splitting (98), into two cases. % 6.88/2.28 |-Branch one: % 6.88/2.28 | (124) ~ (all_17_1_16 = 0) % 6.88/2.28 | % 7.29/2.28 | Equations (115) can reduce 124 to: % 7.29/2.28 | (125) $false % 7.29/2.28 | % 7.29/2.28 |-The branch is then unsatisfiable % 7.29/2.28 |-Branch two: % 7.29/2.28 | (115) all_17_1_16 = 0 % 7.29/2.28 | (127) all_17_0_15 = 0 % 7.29/2.28 | % 7.29/2.28 | Combining equations (127,116) yields a new equation: % 7.29/2.28 | (128) all_0_5_5 = 0 % 7.29/2.28 | % 7.29/2.28 +-Applying beta-rule and splitting (25), into two cases. % 7.29/2.28 |-Branch one: % 7.29/2.28 | (129) ~ (all_0_3_3 = 0) % 7.29/2.28 | % 7.29/2.28 | Equations (99) can reduce 129 to: % 7.29/2.28 | (125) $false % 7.29/2.28 | % 7.29/2.28 |-The branch is then unsatisfiable % 7.29/2.28 |-Branch two: % 7.29/2.28 | (99) all_0_3_3 = 0 % 7.29/2.28 | (132) ~ (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) | (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)) % 7.29/2.28 | % 7.29/2.28 +-Applying beta-rule and splitting (132), into two cases. % 7.29/2.28 |-Branch one: % 7.29/2.28 | (133) ~ (all_0_4_4 = 0) % 7.29/2.28 | % 7.29/2.28 | Equations (101) can reduce 133 to: % 7.29/2.28 | (125) $false % 7.29/2.28 | % 7.29/2.28 |-The branch is then unsatisfiable % 7.29/2.28 |-Branch two: % 7.29/2.28 | (101) all_0_4_4 = 0 % 7.29/2.28 | (136) ~ (all_0_5_5 = 0) | ~ (all_0_6_6 = 0) | ~ (all_0_7_7 = 0) | ~ (all_0_8_8 = 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)) % 7.29/2.28 | % 7.29/2.28 +-Applying beta-rule and splitting (136), into two cases. % 7.29/2.28 |-Branch one: % 7.29/2.28 | (137) ~ (all_0_5_5 = 0) % 7.29/2.28 | % 7.29/2.28 | Equations (128) can reduce 137 to: % 7.29/2.28 | (125) $false % 7.29/2.28 | % 7.29/2.28 |-The branch is then unsatisfiable % 7.29/2.28 |-Branch two: % 7.29/2.28 | (128) all_0_5_5 = 0 % 7.29/2.28 | (140) ~ (all_0_6_6 = 0) | ~ (all_0_7_7 = 0) | ~ (all_0_8_8 = 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)) % 7.29/2.28 | % 7.29/2.28 +-Applying beta-rule and splitting (140), into two cases. % 7.29/2.28 |-Branch one: % 7.29/2.28 | (141) ~ (all_0_6_6 = 0) % 7.29/2.28 | % 7.29/2.28 | Equations (111) can reduce 141 to: % 7.29/2.28 | (125) $false % 7.29/2.28 | % 7.29/2.28 |-The branch is then unsatisfiable % 7.29/2.28 |-Branch two: % 7.29/2.28 | (111) all_0_6_6 = 0 % 7.29/2.28 | (144) ~ (all_0_7_7 = 0) | ~ (all_0_8_8 = 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)) % 7.29/2.28 | % 7.29/2.28 +-Applying beta-rule and splitting (144), into two cases. % 7.29/2.28 |-Branch one: % 7.29/2.28 | (145) ~ (all_0_7_7 = 0) % 7.29/2.28 | % 7.29/2.28 | Equations (112) can reduce 145 to: % 7.29/2.28 | (125) $false % 7.29/2.28 | % 7.29/2.28 |-The branch is then unsatisfiable % 7.29/2.28 |-Branch two: % 7.29/2.28 | (112) all_0_7_7 = 0 % 7.29/2.29 | (148) ~ (all_0_8_8 = 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)) % 7.29/2.29 | % 7.29/2.29 +-Applying beta-rule and splitting (148), into two cases. % 7.29/2.29 |-Branch one: % 7.29/2.29 | (149) ~ (all_0_8_8 = 0) % 7.29/2.29 | % 7.29/2.29 | Equations (122) can reduce 149 to: % 7.29/2.29 | (125) $false % 7.29/2.29 | % 7.29/2.29 |-The branch is then unsatisfiable % 7.29/2.29 |-Branch two: % 7.29/2.29 | (122) all_0_8_8 = 0 % 7.29/2.29 | (152) (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)) % 7.29/2.29 | % 7.29/2.29 +-Applying beta-rule and splitting (152), into two cases. % 7.29/2.29 |-Branch one: % 7.29/2.29 | (153) 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))) % 7.29/2.29 | % 7.29/2.29 | Applying alpha-rule on (153) yields: % 7.29/2.29 | (154) xsd_string(all_0_2_2) = all_0_1_1 % 7.29/2.29 | (155) xsd_integer(all_0_2_2) = all_0_0_0 % 7.29/2.29 | (156) (all_0_0_0 = 0 & all_0_1_1 = 0) | ( ~ (all_0_0_0 = 0) & ~ (all_0_1_1 = 0)) % 7.29/2.29 | % 7.29/2.29 | Instantiating formula (6) with all_0_2_2 yields: % 7.29/2.29 | (157) ~ (xsd_string(all_0_2_2) = 0) | ? [v0] : ( ~ (v0 = 0) & xsd_integer(all_0_2_2) = v0) % 7.29/2.29 | % 7.29/2.29 | Instantiating formula (48) with all_0_1_1, all_0_2_2 and discharging atoms xsd_string(all_0_2_2) = all_0_1_1, yields: % 7.29/2.29 | (158) all_0_1_1 = 0 | xsd_integer(all_0_2_2) = 0 % 7.29/2.29 | % 7.29/2.29 +-Applying beta-rule and splitting (156), into two cases. % 7.29/2.29 |-Branch one: % 7.29/2.29 | (159) all_0_0_0 = 0 & all_0_1_1 = 0 % 7.29/2.29 | % 7.29/2.29 | Applying alpha-rule on (159) yields: % 7.29/2.29 | (160) all_0_0_0 = 0 % 7.29/2.29 | (161) all_0_1_1 = 0 % 7.29/2.29 | % 7.29/2.29 | From (161) and (154) follows: % 7.29/2.29 | (162) xsd_string(all_0_2_2) = 0 % 7.29/2.29 | % 7.29/2.29 | From (160) and (155) follows: % 7.29/2.29 | (163) xsd_integer(all_0_2_2) = 0 % 7.29/2.29 | % 7.29/2.29 +-Applying beta-rule and splitting (157), into two cases. % 7.29/2.29 |-Branch one: % 7.29/2.29 | (164) ~ (xsd_string(all_0_2_2) = 0) % 7.29/2.29 | % 7.29/2.29 | Using (162) and (164) yields: % 7.29/2.29 | (104) $false % 7.29/2.29 | % 7.29/2.29 |-The branch is then unsatisfiable % 7.29/2.29 |-Branch two: % 7.29/2.29 | (162) xsd_string(all_0_2_2) = 0 % 7.29/2.29 | (167) ? [v0] : ( ~ (v0 = 0) & xsd_integer(all_0_2_2) = v0) % 7.29/2.29 | % 7.29/2.29 | Instantiating (167) with all_209_0_23 yields: % 7.29/2.29 | (168) ~ (all_209_0_23 = 0) & xsd_integer(all_0_2_2) = all_209_0_23 % 7.29/2.29 | % 7.29/2.29 | Applying alpha-rule on (168) yields: % 7.29/2.29 | (169) ~ (all_209_0_23 = 0) % 7.29/2.29 | (170) xsd_integer(all_0_2_2) = all_209_0_23 % 7.29/2.29 | % 7.29/2.29 | Instantiating formula (16) with all_0_2_2, 0, all_209_0_23 and discharging atoms xsd_integer(all_0_2_2) = all_209_0_23, xsd_integer(all_0_2_2) = 0, yields: % 7.29/2.29 | (171) all_209_0_23 = 0 % 7.29/2.29 | % 7.29/2.29 | Equations (171) can reduce 169 to: % 7.29/2.29 | (125) $false % 7.29/2.29 | % 7.29/2.29 |-The branch is then unsatisfiable % 7.29/2.29 |-Branch two: % 7.29/2.29 | (173) ~ (all_0_0_0 = 0) & ~ (all_0_1_1 = 0) % 7.29/2.29 | % 7.29/2.29 | Applying alpha-rule on (173) yields: % 7.29/2.29 | (174) ~ (all_0_0_0 = 0) % 7.29/2.29 | (175) ~ (all_0_1_1 = 0) % 7.29/2.29 | % 7.29/2.29 +-Applying beta-rule and splitting (158), into two cases. % 7.29/2.29 |-Branch one: % 7.29/2.29 | (163) xsd_integer(all_0_2_2) = 0 % 7.29/2.29 | % 7.29/2.29 | Instantiating formula (16) 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: % 7.29/2.29 | (160) all_0_0_0 = 0 % 7.29/2.29 | % 7.29/2.29 | Equations (160) can reduce 174 to: % 7.29/2.29 | (125) $false % 7.29/2.29 | % 7.29/2.29 |-The branch is then unsatisfiable % 7.29/2.29 |-Branch two: % 7.29/2.29 | (179) ~ (xsd_integer(all_0_2_2) = 0) % 7.29/2.29 | (161) all_0_1_1 = 0 % 7.29/2.29 | % 7.29/2.29 | Equations (161) can reduce 175 to: % 7.29/2.29 | (125) $false % 7.29/2.29 | % 7.29/2.29 |-The branch is then unsatisfiable % 7.29/2.29 |-Branch two: % 7.29/2.29 | (182) 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) % 7.29/2.29 | % 7.29/2.29 | Applying alpha-rule on (182) yields: % 7.29/2.29 | (183) cowlNothing(all_0_2_2) = all_0_0_0 % 7.29/2.29 | (184) cowlThing(all_0_2_2) = all_0_1_1 % 7.29/2.29 | (185) ~ (all_0_1_1 = 0) | all_0_0_0 = 0 % 7.29/2.29 | % 7.29/2.29 | Instantiating formula (15) with all_0_2_2 yields: % 7.29/2.29 | (186) ~ (cowlNothing(all_0_2_2) = 0) % 7.29/2.29 | % 7.29/2.29 | Instantiating formula (52) with all_0_1_1, all_0_2_2 and discharging atoms cowlThing(all_0_2_2) = all_0_1_1, yields: % 7.29/2.29 | (161) all_0_1_1 = 0 % 7.29/2.29 | % 7.29/2.29 +-Applying beta-rule and splitting (185), into two cases. % 7.29/2.29 |-Branch one: % 7.29/2.29 | (175) ~ (all_0_1_1 = 0) % 7.29/2.29 | % 7.29/2.29 | Equations (161) can reduce 175 to: % 7.29/2.29 | (125) $false % 7.29/2.29 | % 7.29/2.29 |-The branch is then unsatisfiable % 7.29/2.29 |-Branch two: % 7.29/2.29 | (161) all_0_1_1 = 0 % 7.29/2.29 | (160) all_0_0_0 = 0 % 7.29/2.29 | % 7.29/2.29 | From (160) and (183) follows: % 7.29/2.29 | (192) cowlNothing(all_0_2_2) = 0 % 7.29/2.29 | % 7.29/2.29 | Using (192) and (186) yields: % 7.29/2.29 | (104) $false % 7.29/2.29 | % 7.29/2.29 |-The branch is then unsatisfiable % 7.29/2.29 |-Branch two: % 7.29/2.29 | (145) ~ (all_0_7_7 = 0) % 7.29/2.29 | (195) ? [v0] : ( ~ (v0 = 0) & rR1(iV16560, iV16562) = v0) % 7.29/2.29 | % 7.29/2.29 | Instantiating (195) with all_43_0_24 yields: % 7.29/2.29 | (196) ~ (all_43_0_24 = 0) & rR1(iV16560, iV16562) = all_43_0_24 % 7.29/2.29 | % 7.29/2.29 | Applying alpha-rule on (196) yields: % 7.29/2.29 | (197) ~ (all_43_0_24 = 0) % 7.29/2.29 | (198) rR1(iV16560, iV16562) = all_43_0_24 % 7.29/2.29 | % 7.29/2.29 | Instantiating formula (7) with iV16560, iV16562, all_43_0_24, 0 and discharging atoms rR1(iV16560, iV16562) = all_43_0_24, rR1(iV16560, iV16562) = 0, yields: % 7.29/2.29 | (199) all_43_0_24 = 0 % 7.29/2.29 | % 7.29/2.29 | Equations (199) can reduce 197 to: % 7.29/2.29 | (125) $false % 7.29/2.29 | % 7.29/2.29 |-The branch is then unsatisfiable % 7.29/2.29 |-Branch two: % 7.29/2.29 | (141) ~ (all_0_6_6 = 0) % 7.29/2.29 | (202) ? [v0] : ( ~ (v0 = 0) & rR1(iV16560, iV16561) = v0) % 7.29/2.29 | % 7.29/2.30 | Instantiating (202) with all_39_0_26 yields: % 7.29/2.30 | (203) ~ (all_39_0_26 = 0) & rR1(iV16560, iV16561) = all_39_0_26 % 7.29/2.30 | % 7.29/2.30 | Applying alpha-rule on (203) yields: % 7.29/2.30 | (204) ~ (all_39_0_26 = 0) % 7.29/2.30 | (205) rR1(iV16560, iV16561) = all_39_0_26 % 7.29/2.30 | % 7.29/2.30 | Instantiating formula (7) with iV16560, iV16561, all_39_0_26, 0 and discharging atoms rR1(iV16560, iV16561) = all_39_0_26, rR1(iV16560, iV16561) = 0, yields: % 7.29/2.30 | (206) all_39_0_26 = 0 % 7.29/2.30 | % 7.29/2.30 | Equations (206) can reduce 204 to: % 7.29/2.30 | (125) $false % 7.29/2.30 | % 7.29/2.30 |-The branch is then unsatisfiable % 7.29/2.30 |-Branch two: % 7.29/2.30 | (133) ~ (all_0_4_4 = 0) % 7.29/2.30 | (209) ? [v0] : ? [v1] : (cC4xcomp(iV16561) = v0 & cC2xcomp(iV16561) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 7.29/2.30 | % 7.29/2.30 | Instantiating (209) with all_27_0_28, all_27_1_29 yields: % 7.29/2.30 | (210) cC4xcomp(iV16561) = all_27_1_29 & cC2xcomp(iV16561) = all_27_0_28 & ( ~ (all_27_0_28 = 0) | ~ (all_27_1_29 = 0)) % 7.29/2.30 | % 7.29/2.30 | Applying alpha-rule on (210) yields: % 7.29/2.30 | (211) cC4xcomp(iV16561) = all_27_1_29 % 7.29/2.30 | (212) cC2xcomp(iV16561) = all_27_0_28 % 7.29/2.30 | (213) ~ (all_27_0_28 = 0) | ~ (all_27_1_29 = 0) % 7.29/2.30 | % 7.29/2.30 | Instantiating formula (59) with iV16561, all_27_1_29, 0 and discharging atoms cC4xcomp(iV16561) = all_27_1_29, cC4xcomp(iV16561) = 0, yields: % 7.29/2.30 | (214) all_27_1_29 = 0 % 7.29/2.30 | % 7.29/2.30 | Instantiating formula (50) with all_15_0_14, all_27_0_28, iV16561 and discharging atoms ra_Px1(iV16561, all_15_0_14) = 0, cC2xcomp(iV16561) = all_27_0_28, yields: % 7.29/2.30 | (215) all_27_0_28 = 0 % 7.29/2.30 | % 7.29/2.30 +-Applying beta-rule and splitting (213), into two cases. % 7.29/2.30 |-Branch one: % 7.29/2.30 | (216) ~ (all_27_0_28 = 0) % 7.29/2.30 | % 7.29/2.30 | Equations (215) can reduce 216 to: % 7.29/2.30 | (125) $false % 7.29/2.30 | % 7.29/2.30 |-The branch is then unsatisfiable % 7.29/2.30 |-Branch two: % 7.29/2.30 | (215) all_27_0_28 = 0 % 7.29/2.30 | (219) ~ (all_27_1_29 = 0) % 7.29/2.30 | % 7.29/2.30 | Equations (214) can reduce 219 to: % 7.29/2.30 | (125) $false % 7.29/2.30 | % 7.29/2.30 |-The branch is then unsatisfiable % 7.29/2.30 |-Branch two: % 7.29/2.30 | (129) ~ (all_0_3_3 = 0) % 7.29/2.30 | (222) ? [v0] : ? [v1] : (cC10xcomp(iV16562) = v0 & cC2xcomp(iV16562) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 7.29/2.30 | % 7.29/2.30 | Instantiating (222) with all_23_0_31, all_23_1_32 yields: % 7.29/2.30 | (223) cC10xcomp(iV16562) = all_23_1_32 & cC2xcomp(iV16562) = all_23_0_31 & ( ~ (all_23_0_31 = 0) | ~ (all_23_1_32 = 0)) % 7.29/2.30 | % 7.29/2.30 | Applying alpha-rule on (223) yields: % 7.29/2.30 | (224) cC10xcomp(iV16562) = all_23_1_32 % 7.29/2.30 | (225) cC2xcomp(iV16562) = all_23_0_31 % 7.29/2.30 | (226) ~ (all_23_0_31 = 0) | ~ (all_23_1_32 = 0) % 7.29/2.30 | % 7.29/2.30 | Instantiating formula (58) with iV16562, all_23_1_32, 0 and discharging atoms cC10xcomp(iV16562) = all_23_1_32, cC10xcomp(iV16562) = 0, yields: % 7.29/2.30 | (227) all_23_1_32 = 0 % 7.29/2.30 | % 7.29/2.30 | Instantiating formula (50) with all_13_0_13, all_23_0_31, iV16562 and discharging atoms ra_Px1(iV16562, all_13_0_13) = 0, cC2xcomp(iV16562) = all_23_0_31, yields: % 7.29/2.30 | (228) all_23_0_31 = 0 % 7.29/2.30 | % 7.29/2.30 +-Applying beta-rule and splitting (226), into two cases. % 7.29/2.30 |-Branch one: % 7.29/2.30 | (229) ~ (all_23_0_31 = 0) % 7.29/2.30 | % 7.29/2.30 | Equations (228) can reduce 229 to: % 7.29/2.30 | (125) $false % 7.29/2.30 | % 7.29/2.30 |-The branch is then unsatisfiable % 7.29/2.30 |-Branch two: % 7.29/2.30 | (228) all_23_0_31 = 0 % 7.29/2.30 | (232) ~ (all_23_1_32 = 0) % 7.29/2.30 | % 7.29/2.30 | Equations (227) can reduce 232 to: % 7.29/2.30 | (125) $false % 7.29/2.30 | % 7.29/2.30 |-The branch is then unsatisfiable % 7.29/2.30 % SZS output end Proof for theBenchmark % 7.29/2.30 % 7.29/2.30 1708ms %------------------------------------------------------------------------------