%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : ALG087+1 : TPTP v8.1.2. Released v2.7.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n006.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Aug 30 16:36:15 EDT 2023 % Result : Theorem 11.82s 2.39s % Output : Proof 18.57s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG087+1 : TPTP v8.1.2. Released v2.7.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.35 % Computer : n006.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Mon Aug 28 03:06:36 EDT 2023 % 0.13/0.35 % CPUTime : % 0.20/0.66 ________ _____ % 0.20/0.66 ___ __ \_________(_)________________________________ % 0.20/0.66 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.66 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.66 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.66 % 0.20/0.66 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.66 (2023-06-19) % 0.20/0.66 % 0.20/0.66 (c) Philipp Rümmer, 2009-2023 % 0.20/0.66 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.66 Amanda Stjerna. % 0.20/0.66 Free software under BSD-3-Clause. % 0.20/0.66 % 0.20/0.66 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.66 % 0.20/0.66 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.20/0.67 Running up to 7 provers in parallel. % 0.20/0.69 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.69 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.69 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.69 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.69 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.69 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.20/0.69 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.57/1.21 Prover 4: Preprocessing ... % 3.57/1.21 Prover 1: Preprocessing ... % 3.72/1.26 Prover 2: Preprocessing ... % 3.72/1.26 Prover 6: Preprocessing ... % 3.72/1.26 Prover 5: Preprocessing ... % 3.72/1.26 Prover 3: Preprocessing ... % 3.72/1.26 Prover 0: Preprocessing ... % 6.66/1.65 Prover 2: Constructing countermodel ... % 6.66/1.66 Prover 1: Constructing countermodel ... % 6.66/1.66 Prover 6: Constructing countermodel ... % 6.66/1.66 Prover 4: Constructing countermodel ... % 6.66/1.67 Prover 3: Constructing countermodel ... % 6.66/1.69 Prover 0: Constructing countermodel ... % 9.41/2.02 Prover 5: Constructing countermodel ... % 11.82/2.39 Prover 3: proved (1707ms) % 11.82/2.39 % 11.82/2.39 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 11.82/2.39 % 11.82/2.39 Prover 0: stopped % 11.82/2.39 Prover 5: stopped % 11.82/2.39 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 11.82/2.39 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 11.82/2.40 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 11.82/2.40 Prover 6: stopped % 11.82/2.40 Prover 2: stopped % 11.82/2.41 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 11.82/2.41 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 13.03/2.50 Prover 10: Preprocessing ... % 13.03/2.51 Prover 11: Preprocessing ... % 13.03/2.52 Prover 7: Preprocessing ... % 13.03/2.55 Prover 13: Preprocessing ... % 13.03/2.55 Prover 8: Preprocessing ... % 13.57/2.59 Prover 10: Constructing countermodel ... % 13.85/2.61 Prover 11: Constructing countermodel ... % 14.10/2.65 Prover 7: Constructing countermodel ... % 14.10/2.66 Prover 8: Constructing countermodel ... % 14.10/2.69 Prover 13: Constructing countermodel ... % 16.91/3.02 Prover 1: Found proof (size 339) % 16.91/3.03 Prover 1: proved (2344ms) % 16.91/3.03 Prover 7: stopped % 17.05/3.03 Prover 8: stopped % 17.05/3.03 Prover 10: stopped % 17.05/3.03 Prover 11: stopped % 17.05/3.03 Prover 13: stopped % 17.05/3.03 Prover 4: stopped % 17.05/3.03 % 17.05/3.03 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 17.05/3.03 % 17.63/3.19 % SZS output start Proof for theBenchmark % 17.63/3.19 Assumptions after simplification: % 17.63/3.19 --------------------------------- % 17.63/3.19 % 17.63/3.19 (ax1) % 17.63/3.19 ~ (e14 = e13) & ~ (e14 = e12) & ~ (e14 = e10) & ~ (e14 = e11) & ~ (e13 = % 17.63/3.19 e12) & ~ (e13 = e10) & ~ (e13 = e11) & ~ (e12 = e10) & ~ (e12 = e11) & % 17.63/3.19 ~ (e10 = e11) & $i(e14) & $i(e13) & $i(e12) & $i(e10) & $i(e11) % 17.63/3.19 % 17.63/3.20 (ax2) % 17.63/3.20 ~ (e24 = e23) & ~ (e24 = e22) & ~ (e24 = e20) & ~ (e24 = e21) & ~ (e23 = % 17.63/3.20 e22) & ~ (e23 = e20) & ~ (e23 = e21) & ~ (e22 = e20) & ~ (e22 = e21) & % 17.63/3.20 ~ (e20 = e21) & $i(e24) & $i(e23) & $i(e22) & $i(e20) & $i(e21) % 17.63/3.20 % 17.63/3.20 (ax4) % 17.63/3.23 op1(e14, e14) = e10 & op1(e14, e13) = e12 & op1(e14, e12) = e11 & op1(e14, % 17.63/3.23 e10) = e14 & op1(e14, e11) = e13 & op1(e13, e14) = e11 & op1(e13, e13) = e10 % 17.63/3.23 & op1(e13, e12) = e14 & op1(e13, e10) = e13 & op1(e13, e11) = e12 & op1(e12, % 17.63/3.23 e14) = e13 & op1(e12, e13) = e11 & op1(e12, e12) = e10 & op1(e12, e10) = e12 % 17.63/3.23 & op1(e12, e11) = e14 & op1(e10, e14) = e14 & op1(e10, e13) = e13 & op1(e10, % 17.63/3.23 e12) = e12 & op1(e10, e10) = e10 & op1(e10, e11) = e11 & op1(e11, e14) = e12 % 17.63/3.23 & op1(e11, e13) = e14 & op1(e11, e12) = e13 & op1(e11, e10) = e11 & op1(e11, % 17.63/3.23 e11) = e10 & $i(e14) & $i(e13) & $i(e12) & $i(e10) & $i(e11) % 17.63/3.23 % 17.63/3.23 (ax5) % 17.63/3.23 op2(e24, e24) = e22 & op2(e24, e23) = e21 & op2(e24, e22) = e20 & op2(e24, % 17.63/3.23 e20) = e24 & op2(e24, e21) = e23 & op2(e23, e24) = e20 & op2(e23, e23) = e24 % 17.63/3.23 & op2(e23, e22) = e21 & op2(e23, e20) = e23 & op2(e23, e21) = e22 & op2(e22, % 17.63/3.23 e24) = e21 & op2(e22, e23) = e20 & op2(e22, e22) = e23 & op2(e22, e20) = e22 % 17.63/3.23 & op2(e22, e21) = e24 & op2(e20, e24) = e24 & op2(e20, e23) = e23 & op2(e20, % 17.91/3.23 e22) = e22 & op2(e20, e20) = e20 & op2(e20, e21) = e21 & op2(e21, e24) = e23 % 17.91/3.23 & op2(e21, e23) = e22 & op2(e21, e22) = e24 & op2(e21, e20) = e21 & op2(e21, % 17.91/3.23 e21) = e20 & $i(e24) & $i(e23) & $i(e22) & $i(e20) & $i(e21) % 17.91/3.23 % 17.91/3.23 (co1) % 17.91/3.25 $i(e24) & $i(e23) & $i(e22) & $i(e20) & $i(e21) & $i(e14) & $i(e13) & $i(e12) % 17.91/3.25 & $i(e10) & $i(e11) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : % 17.91/3.25 ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: % 17.91/3.25 $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: % 17.91/3.25 $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: % 17.91/3.25 $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? [v24: % 17.91/3.25 $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28: $i] : ? [v29: % 17.91/3.25 $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ? [v33: $i] : ? [v34: % 17.91/3.25 $i] : ? [v35: $i] : ? [v36: $i] : ? [v37: $i] : ? [v38: $i] : ? [v39: % 17.91/3.25 $i] : ? [v40: $i] : ? [v41: $i] : ? [v42: $i] : ? [v43: $i] : ? [v44: % 17.91/3.25 $i] : ? [v45: $i] : ? [v46: $i] : ? [v47: $i] : ? [v48: $i] : ? [v49: % 17.91/3.25 $i] : ? [v50: $i] : ? [v51: $i] : ? [v52: $i] : ? [v53: $i] : ? [v54: % 17.91/3.25 $i] : ? [v55: $i] : ? [v56: $i] : ? [v57: $i] : ? [v58: $i] : ? [v59: % 17.91/3.25 $i] : ? [v60: $i] : ? [v61: $i] : ? [v62: $i] : ? [v63: $i] : ? [v64: % 17.91/3.25 $i] : ? [v65: $i] : ? [v66: $i] : ? [v67: $i] : ? [v68: $i] : ? [v69: % 17.91/3.25 $i] : ? [v70: $i] : ? [v71: $i] : ? [v72: $i] : ? [v73: $i] : ? [v74: % 17.91/3.25 $i] : ? [v75: $i] : ? [v76: $i] : ? [v77: $i] : ? [v78: $i] : ? [v79: % 17.91/3.25 $i] : ? [v80: $i] : ? [v81: $i] : ? [v82: $i] : ? [v83: $i] : ? [v84: % 17.91/3.25 $i] : ? [v85: $i] : ? [v86: $i] : ? [v87: $i] : ? [v88: $i] : ? [v89: % 17.91/3.25 $i] : ? [v90: $i] : ? [v91: $i] : ? [v92: $i] : ? [v93: $i] : ? [v94: % 17.91/3.25 $i] : ? [v95: $i] : ? [v96: $i] : ? [v97: $i] : ? [v98: $i] : ? [v99: % 17.91/3.25 $i] : ? [v100: $i] : ? [v101: $i] : ? [v102: $i] : ? [v103: $i] : ? % 17.91/3.25 [v104: $i] : ? [v105: $i] : ? [v106: $i] : ? [v107: $i] : ? [v108: $i] : % 17.91/3.25 ? [v109: $i] : (h(v58) = v59 & h(v56) = v57 & h(v54) = v55 & h(v52) = v53 & % 17.91/3.25 h(v50) = v51 & h(v48) = v49 & h(v46) = v47 & h(v44) = v45 & h(v42) = v43 & % 17.91/3.25 h(v40) = v41 & h(v38) = v39 & h(v36) = v37 & h(v34) = v35 & h(v32) = v33 & % 17.91/3.25 h(v30) = v31 & h(v28) = v29 & h(v26) = v27 & h(v24) = v25 & h(v22) = v23 & % 17.91/3.25 h(v20) = v21 & h(v18) = v19 & h(v16) = v17 & h(v14) = v15 & h(v12) = v13 & % 17.91/3.25 h(v10) = v11 & h(v9) = e24 & h(v8) = e23 & h(v7) = e22 & h(v6) = e21 & h(v5) % 17.91/3.25 = e20 & h(e14) = v4 & h(e13) = v3 & h(e12) = v2 & h(e10) = v0 & h(e11) = v1 % 17.91/3.25 & j(v108) = v109 & j(v106) = v107 & j(v104) = v105 & j(v102) = v103 & % 17.91/3.25 j(v100) = v101 & j(v98) = v99 & j(v96) = v97 & j(v94) = v95 & j(v92) = v93 & % 17.91/3.25 j(v90) = v91 & j(v88) = v89 & j(v86) = v87 & j(v84) = v85 & j(v82) = v83 & % 17.91/3.25 j(v80) = v81 & j(v78) = v79 & j(v76) = v77 & j(v74) = v75 & j(v72) = v73 & % 17.91/3.25 j(v70) = v71 & j(v68) = v69 & j(v66) = v67 & j(v64) = v65 & j(v62) = v63 & % 17.91/3.25 j(v60) = v61 & j(v4) = e14 & j(v3) = e13 & j(v2) = e12 & j(v1) = e11 & j(v0) % 17.91/3.25 = e10 & j(e24) = v9 & j(e23) = v8 & j(e22) = v7 & j(e20) = v5 & j(e21) = v6 % 17.91/3.25 & op2(v4, v4) = v59 & op2(v4, v3) = v57 & op2(v4, v2) = v55 & op2(v4, v1) = % 17.91/3.25 v53 & op2(v4, v0) = v51 & op2(v3, v4) = v49 & op2(v3, v3) = v47 & op2(v3, % 17.91/3.25 v2) = v45 & op2(v3, v1) = v43 & op2(v3, v0) = v41 & op2(v2, v4) = v39 & % 17.91/3.25 op2(v2, v3) = v37 & op2(v2, v2) = v35 & op2(v2, v1) = v33 & op2(v2, v0) = % 17.91/3.25 v31 & op2(v1, v4) = v29 & op2(v1, v3) = v27 & op2(v1, v2) = v25 & op2(v1, % 17.91/3.25 v1) = v23 & op2(v1, v0) = v21 & op2(v0, v4) = v19 & op2(v0, v3) = v17 & % 17.91/3.25 op2(v0, v2) = v15 & op2(v0, v1) = v13 & op2(v0, v0) = v11 & op2(e24, e24) = % 17.91/3.25 v108 & op2(e24, e23) = v106 & op2(e24, e22) = v104 & op2(e24, e20) = v100 & % 17.91/3.25 op2(e24, e21) = v102 & op2(e23, e24) = v98 & op2(e23, e23) = v96 & op2(e23, % 17.91/3.25 e22) = v94 & op2(e23, e20) = v90 & op2(e23, e21) = v92 & op2(e22, e24) = % 17.91/3.25 v88 & op2(e22, e23) = v86 & op2(e22, e22) = v84 & op2(e22, e20) = v80 & % 17.91/3.25 op2(e22, e21) = v82 & op2(e20, e24) = v68 & op2(e20, e23) = v66 & op2(e20, % 17.91/3.25 e22) = v64 & op2(e20, e20) = v60 & op2(e20, e21) = v62 & op2(e21, e24) = % 17.91/3.25 v78 & op2(e21, e23) = v76 & op2(e21, e22) = v74 & op2(e21, e20) = v70 & % 17.91/3.25 op2(e21, e21) = v72 & op1(v9, v9) = v109 & op1(v9, v8) = v107 & op1(v9, v7) % 17.91/3.25 = v105 & op1(v9, v6) = v103 & op1(v9, v5) = v101 & op1(v8, v9) = v99 & % 17.91/3.25 op1(v8, v8) = v97 & op1(v8, v7) = v95 & op1(v8, v6) = v93 & op1(v8, v5) = % 17.91/3.25 v91 & op1(v7, v9) = v89 & op1(v7, v8) = v87 & op1(v7, v7) = v85 & op1(v7, % 17.91/3.25 v6) = v83 & op1(v7, v5) = v81 & op1(v6, v9) = v79 & op1(v6, v8) = v77 & % 17.91/3.25 op1(v6, v7) = v75 & op1(v6, v6) = v73 & op1(v6, v5) = v71 & op1(v5, v9) = % 17.91/3.25 v69 & op1(v5, v8) = v67 & op1(v5, v7) = v65 & op1(v5, v6) = v63 & op1(v5, % 17.91/3.25 v5) = v61 & op1(e14, e14) = v58 & op1(e14, e13) = v56 & op1(e14, e12) = % 17.91/3.25 v54 & op1(e14, e10) = v50 & op1(e14, e11) = v52 & op1(e13, e14) = v48 & % 17.91/3.25 op1(e13, e13) = v46 & op1(e13, e12) = v44 & op1(e13, e10) = v40 & op1(e13, % 17.91/3.25 e11) = v42 & op1(e12, e14) = v38 & op1(e12, e13) = v36 & op1(e12, e12) = % 17.91/3.25 v34 & op1(e12, e10) = v30 & op1(e12, e11) = v32 & op1(e10, e14) = v18 & % 17.91/3.25 op1(e10, e13) = v16 & op1(e10, e12) = v14 & op1(e10, e10) = v10 & op1(e10, % 17.91/3.25 e11) = v12 & op1(e11, e14) = v28 & op1(e11, e13) = v26 & op1(e11, e12) = % 17.91/3.25 v24 & op1(e11, e10) = v20 & op1(e11, e11) = v22 & $i(v109) & $i(v108) & % 17.91/3.25 $i(v107) & $i(v106) & $i(v105) & $i(v104) & $i(v103) & $i(v102) & $i(v101) & % 17.91/3.25 $i(v100) & $i(v99) & $i(v98) & $i(v97) & $i(v96) & $i(v95) & $i(v94) & % 17.91/3.25 $i(v93) & $i(v92) & $i(v91) & $i(v90) & $i(v89) & $i(v88) & $i(v87) & % 17.91/3.25 $i(v86) & $i(v85) & $i(v84) & $i(v83) & $i(v82) & $i(v81) & $i(v80) & % 17.91/3.25 $i(v79) & $i(v78) & $i(v77) & $i(v76) & $i(v75) & $i(v74) & $i(v73) & % 17.91/3.25 $i(v72) & $i(v71) & $i(v70) & $i(v69) & $i(v68) & $i(v67) & $i(v66) & % 17.91/3.25 $i(v65) & $i(v64) & $i(v63) & $i(v62) & $i(v61) & $i(v60) & $i(v59) & % 17.91/3.25 $i(v58) & $i(v57) & $i(v56) & $i(v55) & $i(v54) & $i(v53) & $i(v52) & % 17.91/3.25 $i(v51) & $i(v50) & $i(v49) & $i(v48) & $i(v47) & $i(v46) & $i(v45) & % 17.91/3.25 $i(v44) & $i(v43) & $i(v42) & $i(v41) & $i(v40) & $i(v39) & $i(v38) & % 17.91/3.25 $i(v37) & $i(v36) & $i(v35) & $i(v34) & $i(v33) & $i(v32) & $i(v31) & % 17.91/3.25 $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24) & % 17.91/3.25 $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & % 17.91/3.25 $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) % 17.91/3.25 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 17.91/3.25 $i(v0) & (v9 = e14 | v9 = e13 | v9 = e12 | v9 = e10 | v9 = e11) & (v8 = e14 % 17.91/3.25 | v8 = e13 | v8 = e12 | v8 = e10 | v8 = e11) & (v7 = e14 | v7 = e13 | v7 = % 17.91/3.25 e12 | v7 = e10 | v7 = e11) & (v6 = e14 | v6 = e13 | v6 = e12 | v6 = e10 | % 17.91/3.25 v6 = e11) & (v5 = e14 | v5 = e13 | v5 = e12 | v5 = e10 | v5 = e11) & (v4 = % 17.91/3.25 e24 | v4 = e23 | v4 = e22 | v4 = e20 | v4 = e21) & (v3 = e24 | v3 = e23 | % 17.91/3.25 v3 = e22 | v3 = e20 | v3 = e21) & (v2 = e24 | v2 = e23 | v2 = e22 | v2 = % 17.91/3.25 e20 | v2 = e21) & (v1 = e24 | v1 = e23 | v1 = e22 | v1 = e20 | v1 = e21) & % 17.91/3.25 (v0 = e24 | v0 = e23 | v0 = e22 | v0 = e20 | v0 = e21)) % 17.91/3.25 % 17.91/3.25 (function-axioms) % 17.91/3.26 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op2(v3, % 17.91/3.26 v2) = v1) | ~ (op2(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 17.91/3.26 $i] : ! [v3: $i] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) = % 17.91/3.26 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h(v2) = % 17.91/3.26 v1) | ~ (h(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = % 17.91/3.26 v0 | ~ (j(v2) = v1) | ~ (j(v2) = v0)) % 17.91/3.26 % 17.91/3.26 Further assumptions not needed in the proof: % 17.91/3.26 -------------------------------------------- % 17.91/3.26 ax3 % 17.91/3.26 % 17.91/3.26 Those formulas are unsatisfiable: % 17.91/3.26 --------------------------------- % 17.91/3.26 % 17.91/3.26 Begin of proof % 17.91/3.26 | % 17.91/3.26 | ALPHA: (ax1) implies: % 17.91/3.26 | (1) ~ (e14 = e10) % 17.91/3.26 | % 17.91/3.26 | ALPHA: (ax2) implies: % 18.06/3.26 | (2) ~ (e23 = e22) % 18.06/3.26 | (3) ~ (e24 = e22) % 18.06/3.26 | % 18.06/3.26 | ALPHA: (ax4) implies: % 18.06/3.26 | (4) op1(e11, e11) = e10 % 18.06/3.26 | (5) op1(e11, e10) = e11 % 18.06/3.26 | (6) op1(e11, e12) = e13 % 18.06/3.26 | (7) op1(e11, e14) = e12 % 18.06/3.26 | (8) op1(e10, e11) = e11 % 18.06/3.26 | (9) op1(e10, e10) = e10 % 18.06/3.26 | (10) op1(e10, e12) = e12 % 18.06/3.26 | (11) op1(e10, e13) = e13 % 18.06/3.26 | (12) op1(e10, e14) = e14 % 18.06/3.26 | (13) op1(e12, e10) = e12 % 18.06/3.26 | (14) op1(e12, e12) = e10 % 18.06/3.26 | (15) op1(e12, e13) = e11 % 18.06/3.26 | (16) op1(e12, e14) = e13 % 18.06/3.26 | (17) op1(e13, e11) = e12 % 18.06/3.26 | (18) op1(e13, e10) = e13 % 18.06/3.26 | (19) op1(e13, e13) = e10 % 18.06/3.26 | (20) op1(e13, e14) = e11 % 18.06/3.26 | (21) op1(e14, e11) = e13 % 18.06/3.26 | (22) op1(e14, e10) = e14 % 18.06/3.26 | (23) op1(e14, e12) = e11 % 18.06/3.26 | (24) op1(e14, e13) = e12 % 18.06/3.26 | (25) op1(e14, e14) = e10 % 18.06/3.26 | % 18.06/3.26 | ALPHA: (ax5) implies: % 18.06/3.26 | (26) op2(e21, e21) = e20 % 18.06/3.26 | (27) op2(e21, e20) = e21 % 18.06/3.26 | (28) op2(e21, e22) = e24 % 18.06/3.26 | (29) op2(e21, e23) = e22 % 18.06/3.26 | (30) op2(e21, e24) = e23 % 18.06/3.27 | (31) op2(e20, e21) = e21 % 18.06/3.27 | (32) op2(e20, e20) = e20 % 18.06/3.27 | (33) op2(e20, e22) = e22 % 18.06/3.27 | (34) op2(e20, e23) = e23 % 18.06/3.27 | (35) op2(e22, e21) = e24 % 18.06/3.27 | (36) op2(e22, e20) = e22 % 18.06/3.27 | (37) op2(e22, e22) = e23 % 18.06/3.27 | (38) op2(e22, e23) = e20 % 18.06/3.27 | (39) op2(e22, e24) = e21 % 18.06/3.27 | (40) op2(e23, e21) = e22 % 18.06/3.27 | (41) op2(e23, e20) = e23 % 18.06/3.27 | (42) op2(e23, e22) = e21 % 18.06/3.27 | (43) op2(e23, e23) = e24 % 18.06/3.27 | (44) op2(e23, e24) = e20 % 18.06/3.27 | (45) op2(e24, e21) = e23 % 18.06/3.27 | (46) op2(e24, e20) = e24 % 18.06/3.27 | (47) op2(e24, e22) = e20 % 18.06/3.27 | (48) op2(e24, e23) = e21 % 18.06/3.27 | (49) op2(e24, e24) = e22 % 18.06/3.27 | % 18.06/3.27 | ALPHA: (co1) implies: % 18.06/3.28 | (50) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 18.06/3.28 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 18.06/3.28 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: % 18.06/3.28 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? % 18.06/3.28 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] % 18.06/3.28 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28: % 18.06/3.28 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ? % 18.06/3.28 | [v33: $i] : ? [v34: $i] : ? [v35: $i] : ? [v36: $i] : ? [v37: $i] % 18.06/3.28 | : ? [v38: $i] : ? [v39: $i] : ? [v40: $i] : ? [v41: $i] : ? [v42: % 18.06/3.28 | $i] : ? [v43: $i] : ? [v44: $i] : ? [v45: $i] : ? [v46: $i] : ? % 18.06/3.28 | [v47: $i] : ? [v48: $i] : ? [v49: $i] : ? [v50: $i] : ? [v51: $i] % 18.06/3.28 | : ? [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55: $i] : ? [v56: % 18.06/3.28 | $i] : ? [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60: $i] : ? % 18.06/3.28 | [v61: $i] : ? [v62: $i] : ? [v63: $i] : ? [v64: $i] : ? [v65: $i] % 18.06/3.28 | : ? [v66: $i] : ? [v67: $i] : ? [v68: $i] : ? [v69: $i] : ? [v70: % 18.06/3.28 | $i] : ? [v71: $i] : ? [v72: $i] : ? [v73: $i] : ? [v74: $i] : ? % 18.06/3.28 | [v75: $i] : ? [v76: $i] : ? [v77: $i] : ? [v78: $i] : ? [v79: $i] % 18.06/3.28 | : ? [v80: $i] : ? [v81: $i] : ? [v82: $i] : ? [v83: $i] : ? [v84: % 18.06/3.28 | $i] : ? [v85: $i] : ? [v86: $i] : ? [v87: $i] : ? [v88: $i] : ? % 18.06/3.28 | [v89: $i] : ? [v90: $i] : ? [v91: $i] : ? [v92: $i] : ? [v93: $i] % 18.06/3.28 | : ? [v94: $i] : ? [v95: $i] : ? [v96: $i] : ? [v97: $i] : ? [v98: % 18.06/3.28 | $i] : ? [v99: $i] : ? [v100: $i] : ? [v101: $i] : ? [v102: $i] : % 18.06/3.28 | ? [v103: $i] : ? [v104: $i] : ? [v105: $i] : ? [v106: $i] : ? % 18.06/3.28 | [v107: $i] : ? [v108: $i] : ? [v109: $i] : (h(v58) = v59 & h(v56) = % 18.06/3.28 | v57 & h(v54) = v55 & h(v52) = v53 & h(v50) = v51 & h(v48) = v49 & % 18.06/3.28 | h(v46) = v47 & h(v44) = v45 & h(v42) = v43 & h(v40) = v41 & h(v38) = % 18.06/3.28 | v39 & h(v36) = v37 & h(v34) = v35 & h(v32) = v33 & h(v30) = v31 & % 18.06/3.28 | h(v28) = v29 & h(v26) = v27 & h(v24) = v25 & h(v22) = v23 & h(v20) = % 18.06/3.28 | v21 & h(v18) = v19 & h(v16) = v17 & h(v14) = v15 & h(v12) = v13 & % 18.06/3.28 | h(v10) = v11 & h(v9) = e24 & h(v8) = e23 & h(v7) = e22 & h(v6) = e21 % 18.06/3.28 | & h(v5) = e20 & h(e14) = v4 & h(e13) = v3 & h(e12) = v2 & h(e10) = % 18.06/3.28 | v0 & h(e11) = v1 & j(v108) = v109 & j(v106) = v107 & j(v104) = v105 % 18.06/3.28 | & j(v102) = v103 & j(v100) = v101 & j(v98) = v99 & j(v96) = v97 & % 18.06/3.28 | j(v94) = v95 & j(v92) = v93 & j(v90) = v91 & j(v88) = v89 & j(v86) = % 18.06/3.28 | v87 & j(v84) = v85 & j(v82) = v83 & j(v80) = v81 & j(v78) = v79 & % 18.06/3.28 | j(v76) = v77 & j(v74) = v75 & j(v72) = v73 & j(v70) = v71 & j(v68) = % 18.06/3.28 | v69 & j(v66) = v67 & j(v64) = v65 & j(v62) = v63 & j(v60) = v61 & % 18.06/3.28 | j(v4) = e14 & j(v3) = e13 & j(v2) = e12 & j(v1) = e11 & j(v0) = e10 % 18.06/3.28 | & j(e24) = v9 & j(e23) = v8 & j(e22) = v7 & j(e20) = v5 & j(e21) = % 18.06/3.28 | v6 & op2(v4, v4) = v59 & op2(v4, v3) = v57 & op2(v4, v2) = v55 & % 18.06/3.28 | op2(v4, v1) = v53 & op2(v4, v0) = v51 & op2(v3, v4) = v49 & op2(v3, % 18.06/3.28 | v3) = v47 & op2(v3, v2) = v45 & op2(v3, v1) = v43 & op2(v3, v0) = % 18.06/3.28 | v41 & op2(v2, v4) = v39 & op2(v2, v3) = v37 & op2(v2, v2) = v35 & % 18.06/3.28 | op2(v2, v1) = v33 & op2(v2, v0) = v31 & op2(v1, v4) = v29 & op2(v1, % 18.06/3.28 | v3) = v27 & op2(v1, v2) = v25 & op2(v1, v1) = v23 & op2(v1, v0) = % 18.06/3.28 | v21 & op2(v0, v4) = v19 & op2(v0, v3) = v17 & op2(v0, v2) = v15 & % 18.06/3.28 | op2(v0, v1) = v13 & op2(v0, v0) = v11 & op2(e24, e24) = v108 & % 18.06/3.28 | op2(e24, e23) = v106 & op2(e24, e22) = v104 & op2(e24, e20) = v100 & % 18.06/3.28 | op2(e24, e21) = v102 & op2(e23, e24) = v98 & op2(e23, e23) = v96 & % 18.06/3.28 | op2(e23, e22) = v94 & op2(e23, e20) = v90 & op2(e23, e21) = v92 & % 18.06/3.28 | op2(e22, e24) = v88 & op2(e22, e23) = v86 & op2(e22, e22) = v84 & % 18.06/3.28 | op2(e22, e20) = v80 & op2(e22, e21) = v82 & op2(e20, e24) = v68 & % 18.06/3.28 | op2(e20, e23) = v66 & op2(e20, e22) = v64 & op2(e20, e20) = v60 & % 18.06/3.28 | op2(e20, e21) = v62 & op2(e21, e24) = v78 & op2(e21, e23) = v76 & % 18.06/3.28 | op2(e21, e22) = v74 & op2(e21, e20) = v70 & op2(e21, e21) = v72 & % 18.06/3.28 | op1(v9, v9) = v109 & op1(v9, v8) = v107 & op1(v9, v7) = v105 & % 18.06/3.28 | op1(v9, v6) = v103 & op1(v9, v5) = v101 & op1(v8, v9) = v99 & % 18.06/3.28 | op1(v8, v8) = v97 & op1(v8, v7) = v95 & op1(v8, v6) = v93 & op1(v8, % 18.06/3.28 | v5) = v91 & op1(v7, v9) = v89 & op1(v7, v8) = v87 & op1(v7, v7) = % 18.06/3.28 | v85 & op1(v7, v6) = v83 & op1(v7, v5) = v81 & op1(v6, v9) = v79 & % 18.06/3.28 | op1(v6, v8) = v77 & op1(v6, v7) = v75 & op1(v6, v6) = v73 & op1(v6, % 18.06/3.28 | v5) = v71 & op1(v5, v9) = v69 & op1(v5, v8) = v67 & op1(v5, v7) = % 18.06/3.28 | v65 & op1(v5, v6) = v63 & op1(v5, v5) = v61 & op1(e14, e14) = v58 & % 18.06/3.28 | op1(e14, e13) = v56 & op1(e14, e12) = v54 & op1(e14, e10) = v50 & % 18.06/3.28 | op1(e14, e11) = v52 & op1(e13, e14) = v48 & op1(e13, e13) = v46 & % 18.06/3.28 | op1(e13, e12) = v44 & op1(e13, e10) = v40 & op1(e13, e11) = v42 & % 18.06/3.28 | op1(e12, e14) = v38 & op1(e12, e13) = v36 & op1(e12, e12) = v34 & % 18.06/3.28 | op1(e12, e10) = v30 & op1(e12, e11) = v32 & op1(e10, e14) = v18 & % 18.06/3.28 | op1(e10, e13) = v16 & op1(e10, e12) = v14 & op1(e10, e10) = v10 & % 18.06/3.28 | op1(e10, e11) = v12 & op1(e11, e14) = v28 & op1(e11, e13) = v26 & % 18.06/3.28 | op1(e11, e12) = v24 & op1(e11, e10) = v20 & op1(e11, e11) = v22 & % 18.06/3.28 | $i(v109) & $i(v108) & $i(v107) & $i(v106) & $i(v105) & $i(v104) & % 18.06/3.28 | $i(v103) & $i(v102) & $i(v101) & $i(v100) & $i(v99) & $i(v98) & % 18.06/3.28 | $i(v97) & $i(v96) & $i(v95) & $i(v94) & $i(v93) & $i(v92) & $i(v91) % 18.06/3.28 | & $i(v90) & $i(v89) & $i(v88) & $i(v87) & $i(v86) & $i(v85) & % 18.06/3.28 | $i(v84) & $i(v83) & $i(v82) & $i(v81) & $i(v80) & $i(v79) & $i(v78) % 18.06/3.28 | & $i(v77) & $i(v76) & $i(v75) & $i(v74) & $i(v73) & $i(v72) & % 18.06/3.28 | $i(v71) & $i(v70) & $i(v69) & $i(v68) & $i(v67) & $i(v66) & $i(v65) % 18.06/3.28 | & $i(v64) & $i(v63) & $i(v62) & $i(v61) & $i(v60) & $i(v59) & % 18.06/3.28 | $i(v58) & $i(v57) & $i(v56) & $i(v55) & $i(v54) & $i(v53) & $i(v52) % 18.06/3.28 | & $i(v51) & $i(v50) & $i(v49) & $i(v48) & $i(v47) & $i(v46) & % 18.06/3.28 | $i(v45) & $i(v44) & $i(v43) & $i(v42) & $i(v41) & $i(v40) & $i(v39) % 18.06/3.28 | & $i(v38) & $i(v37) & $i(v36) & $i(v35) & $i(v34) & $i(v33) & % 18.06/3.28 | $i(v32) & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) % 18.06/3.28 | & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & % 18.06/3.28 | $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) % 18.06/3.28 | & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & % 18.06/3.28 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v9 = e14 | v9 % 18.06/3.28 | = e13 | v9 = e12 | v9 = e10 | v9 = e11) & (v8 = e14 | v8 = e13 | % 18.06/3.28 | v8 = e12 | v8 = e10 | v8 = e11) & (v7 = e14 | v7 = e13 | v7 = e12 % 18.06/3.29 | | v7 = e10 | v7 = e11) & (v6 = e14 | v6 = e13 | v6 = e12 | v6 = % 18.06/3.29 | e10 | v6 = e11) & (v5 = e14 | v5 = e13 | v5 = e12 | v5 = e10 | v5 % 18.06/3.29 | = e11) & (v4 = e24 | v4 = e23 | v4 = e22 | v4 = e20 | v4 = e21) & % 18.06/3.29 | (v3 = e24 | v3 = e23 | v3 = e22 | v3 = e20 | v3 = e21) & (v2 = e24 | % 18.06/3.29 | v2 = e23 | v2 = e22 | v2 = e20 | v2 = e21) & (v1 = e24 | v1 = e23 % 18.06/3.29 | | v1 = e22 | v1 = e20 | v1 = e21) & (v0 = e24 | v0 = e23 | v0 = % 18.06/3.29 | e22 | v0 = e20 | v0 = e21)) % 18.06/3.29 | % 18.06/3.29 | ALPHA: (function-axioms) implies: % 18.06/3.29 | (51) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (j(v2) = v1) | % 18.06/3.29 | ~ (j(v2) = v0)) % 18.06/3.29 | (52) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h(v2) = v1) | % 18.06/3.29 | ~ (h(v2) = v0)) % 18.06/3.29 | (53) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 18.06/3.29 | (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0)) % 18.06/3.29 | (54) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 18.06/3.29 | (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0)) % 18.06/3.29 | % 18.06/3.29 | DELTA: instantiating (50) with fresh symbols all_4_0, all_4_1, all_4_2, % 18.06/3.29 | all_4_3, all_4_4, all_4_5, all_4_6, all_4_7, all_4_8, all_4_9, % 18.06/3.29 | all_4_10, all_4_11, all_4_12, all_4_13, all_4_14, all_4_15, all_4_16, % 18.06/3.29 | all_4_17, all_4_18, all_4_19, all_4_20, all_4_21, all_4_22, all_4_23, % 18.06/3.29 | all_4_24, all_4_25, all_4_26, all_4_27, all_4_28, all_4_29, all_4_30, % 18.06/3.29 | all_4_31, all_4_32, all_4_33, all_4_34, all_4_35, all_4_36, all_4_37, % 18.06/3.29 | all_4_38, all_4_39, all_4_40, all_4_41, all_4_42, all_4_43, all_4_44, % 18.06/3.29 | all_4_45, all_4_46, all_4_47, all_4_48, all_4_49, all_4_50, all_4_51, % 18.06/3.29 | all_4_52, all_4_53, all_4_54, all_4_55, all_4_56, all_4_57, all_4_58, % 18.06/3.29 | all_4_59, all_4_60, all_4_61, all_4_62, all_4_63, all_4_64, all_4_65, % 18.06/3.29 | all_4_66, all_4_67, all_4_68, all_4_69, all_4_70, all_4_71, all_4_72, % 18.06/3.29 | all_4_73, all_4_74, all_4_75, all_4_76, all_4_77, all_4_78, all_4_79, % 18.06/3.29 | all_4_80, all_4_81, all_4_82, all_4_83, all_4_84, all_4_85, all_4_86, % 18.06/3.29 | all_4_87, all_4_88, all_4_89, all_4_90, all_4_91, all_4_92, all_4_93, % 18.06/3.29 | all_4_94, all_4_95, all_4_96, all_4_97, all_4_98, all_4_99, all_4_100, % 18.06/3.29 | all_4_101, all_4_102, all_4_103, all_4_104, all_4_105, all_4_106, % 18.06/3.29 | all_4_107, all_4_108, all_4_109 gives: % 18.06/3.30 | (55) h(all_4_51) = all_4_50 & h(all_4_53) = all_4_52 & h(all_4_55) = % 18.06/3.30 | all_4_54 & h(all_4_57) = all_4_56 & h(all_4_59) = all_4_58 & % 18.06/3.30 | h(all_4_61) = all_4_60 & h(all_4_63) = all_4_62 & h(all_4_65) = % 18.06/3.30 | all_4_64 & h(all_4_67) = all_4_66 & h(all_4_69) = all_4_68 & % 18.06/3.30 | h(all_4_71) = all_4_70 & h(all_4_73) = all_4_72 & h(all_4_75) = % 18.06/3.30 | all_4_74 & h(all_4_77) = all_4_76 & h(all_4_79) = all_4_78 & % 18.06/3.30 | h(all_4_81) = all_4_80 & h(all_4_83) = all_4_82 & h(all_4_85) = % 18.06/3.30 | all_4_84 & h(all_4_87) = all_4_86 & h(all_4_89) = all_4_88 & % 18.06/3.30 | h(all_4_91) = all_4_90 & h(all_4_93) = all_4_92 & h(all_4_95) = % 18.06/3.30 | all_4_94 & h(all_4_97) = all_4_96 & h(all_4_99) = all_4_98 & % 18.06/3.30 | h(all_4_100) = e24 & h(all_4_101) = e23 & h(all_4_102) = e22 & % 18.06/3.30 | h(all_4_103) = e21 & h(all_4_104) = e20 & h(e14) = all_4_105 & h(e13) % 18.06/3.30 | = all_4_106 & h(e12) = all_4_107 & h(e10) = all_4_109 & h(e11) = % 18.06/3.30 | all_4_108 & j(all_4_1) = all_4_0 & j(all_4_3) = all_4_2 & j(all_4_5) = % 18.06/3.30 | all_4_4 & j(all_4_7) = all_4_6 & j(all_4_9) = all_4_8 & j(all_4_11) = % 18.06/3.30 | all_4_10 & j(all_4_13) = all_4_12 & j(all_4_15) = all_4_14 & % 18.06/3.30 | j(all_4_17) = all_4_16 & j(all_4_19) = all_4_18 & j(all_4_21) = % 18.06/3.30 | all_4_20 & j(all_4_23) = all_4_22 & j(all_4_25) = all_4_24 & % 18.06/3.30 | j(all_4_27) = all_4_26 & j(all_4_29) = all_4_28 & j(all_4_31) = % 18.06/3.30 | all_4_30 & j(all_4_33) = all_4_32 & j(all_4_35) = all_4_34 & % 18.06/3.30 | j(all_4_37) = all_4_36 & j(all_4_39) = all_4_38 & j(all_4_41) = % 18.06/3.30 | all_4_40 & j(all_4_43) = all_4_42 & j(all_4_45) = all_4_44 & % 18.06/3.30 | j(all_4_47) = all_4_46 & j(all_4_49) = all_4_48 & j(all_4_105) = e14 & % 18.06/3.30 | j(all_4_106) = e13 & j(all_4_107) = e12 & j(all_4_108) = e11 & % 18.06/3.30 | j(all_4_109) = e10 & j(e24) = all_4_100 & j(e23) = all_4_101 & j(e22) % 18.06/3.30 | = all_4_102 & j(e20) = all_4_104 & j(e21) = all_4_103 & op2(all_4_105, % 18.06/3.30 | all_4_105) = all_4_50 & op2(all_4_105, all_4_106) = all_4_52 & % 18.06/3.30 | op2(all_4_105, all_4_107) = all_4_54 & op2(all_4_105, all_4_108) = % 18.06/3.30 | all_4_56 & op2(all_4_105, all_4_109) = all_4_58 & op2(all_4_106, % 18.06/3.30 | all_4_105) = all_4_60 & op2(all_4_106, all_4_106) = all_4_62 & % 18.06/3.30 | op2(all_4_106, all_4_107) = all_4_64 & op2(all_4_106, all_4_108) = % 18.06/3.30 | all_4_66 & op2(all_4_106, all_4_109) = all_4_68 & op2(all_4_107, % 18.06/3.30 | all_4_105) = all_4_70 & op2(all_4_107, all_4_106) = all_4_72 & % 18.06/3.30 | op2(all_4_107, all_4_107) = all_4_74 & op2(all_4_107, all_4_108) = % 18.06/3.30 | all_4_76 & op2(all_4_107, all_4_109) = all_4_78 & op2(all_4_108, % 18.06/3.30 | all_4_105) = all_4_80 & op2(all_4_108, all_4_106) = all_4_82 & % 18.06/3.30 | op2(all_4_108, all_4_107) = all_4_84 & op2(all_4_108, all_4_108) = % 18.06/3.30 | all_4_86 & op2(all_4_108, all_4_109) = all_4_88 & op2(all_4_109, % 18.06/3.30 | all_4_105) = all_4_90 & op2(all_4_109, all_4_106) = all_4_92 & % 18.06/3.30 | op2(all_4_109, all_4_107) = all_4_94 & op2(all_4_109, all_4_108) = % 18.06/3.30 | all_4_96 & op2(all_4_109, all_4_109) = all_4_98 & op2(e24, e24) = % 18.06/3.30 | all_4_1 & op2(e24, e23) = all_4_3 & op2(e24, e22) = all_4_5 & op2(e24, % 18.06/3.30 | e20) = all_4_9 & op2(e24, e21) = all_4_7 & op2(e23, e24) = all_4_11 % 18.06/3.30 | & op2(e23, e23) = all_4_13 & op2(e23, e22) = all_4_15 & op2(e23, e20) % 18.06/3.30 | = all_4_19 & op2(e23, e21) = all_4_17 & op2(e22, e24) = all_4_21 & % 18.06/3.30 | op2(e22, e23) = all_4_23 & op2(e22, e22) = all_4_25 & op2(e22, e20) = % 18.06/3.30 | all_4_29 & op2(e22, e21) = all_4_27 & op2(e20, e24) = all_4_41 & % 18.06/3.30 | op2(e20, e23) = all_4_43 & op2(e20, e22) = all_4_45 & op2(e20, e20) = % 18.06/3.30 | all_4_49 & op2(e20, e21) = all_4_47 & op2(e21, e24) = all_4_31 & % 18.06/3.30 | op2(e21, e23) = all_4_33 & op2(e21, e22) = all_4_35 & op2(e21, e20) = % 18.06/3.30 | all_4_39 & op2(e21, e21) = all_4_37 & op1(all_4_100, all_4_100) = % 18.06/3.30 | all_4_0 & op1(all_4_100, all_4_101) = all_4_2 & op1(all_4_100, % 18.06/3.30 | all_4_102) = all_4_4 & op1(all_4_100, all_4_103) = all_4_6 & % 18.06/3.30 | op1(all_4_100, all_4_104) = all_4_8 & op1(all_4_101, all_4_100) = % 18.06/3.30 | all_4_10 & op1(all_4_101, all_4_101) = all_4_12 & op1(all_4_101, % 18.06/3.30 | all_4_102) = all_4_14 & op1(all_4_101, all_4_103) = all_4_16 & % 18.06/3.30 | op1(all_4_101, all_4_104) = all_4_18 & op1(all_4_102, all_4_100) = % 18.06/3.30 | all_4_20 & op1(all_4_102, all_4_101) = all_4_22 & op1(all_4_102, % 18.06/3.30 | all_4_102) = all_4_24 & op1(all_4_102, all_4_103) = all_4_26 & % 18.06/3.30 | op1(all_4_102, all_4_104) = all_4_28 & op1(all_4_103, all_4_100) = % 18.06/3.30 | all_4_30 & op1(all_4_103, all_4_101) = all_4_32 & op1(all_4_103, % 18.06/3.30 | all_4_102) = all_4_34 & op1(all_4_103, all_4_103) = all_4_36 & % 18.06/3.30 | op1(all_4_103, all_4_104) = all_4_38 & op1(all_4_104, all_4_100) = % 18.06/3.30 | all_4_40 & op1(all_4_104, all_4_101) = all_4_42 & op1(all_4_104, % 18.06/3.30 | all_4_102) = all_4_44 & op1(all_4_104, all_4_103) = all_4_46 & % 18.06/3.30 | op1(all_4_104, all_4_104) = all_4_48 & op1(e14, e14) = all_4_51 & % 18.06/3.30 | op1(e14, e13) = all_4_53 & op1(e14, e12) = all_4_55 & op1(e14, e10) = % 18.06/3.30 | all_4_59 & op1(e14, e11) = all_4_57 & op1(e13, e14) = all_4_61 & % 18.06/3.30 | op1(e13, e13) = all_4_63 & op1(e13, e12) = all_4_65 & op1(e13, e10) = % 18.06/3.30 | all_4_69 & op1(e13, e11) = all_4_67 & op1(e12, e14) = all_4_71 & % 18.06/3.30 | op1(e12, e13) = all_4_73 & op1(e12, e12) = all_4_75 & op1(e12, e10) = % 18.06/3.30 | all_4_79 & op1(e12, e11) = all_4_77 & op1(e10, e14) = all_4_91 & % 18.06/3.30 | op1(e10, e13) = all_4_93 & op1(e10, e12) = all_4_95 & op1(e10, e10) = % 18.06/3.30 | all_4_99 & op1(e10, e11) = all_4_97 & op1(e11, e14) = all_4_81 & % 18.06/3.30 | op1(e11, e13) = all_4_83 & op1(e11, e12) = all_4_85 & op1(e11, e10) = % 18.06/3.30 | all_4_89 & op1(e11, e11) = all_4_87 & $i(all_4_0) & $i(all_4_1) & % 18.06/3.30 | $i(all_4_2) & $i(all_4_3) & $i(all_4_4) & $i(all_4_5) & $i(all_4_6) & % 18.06/3.30 | $i(all_4_7) & $i(all_4_8) & $i(all_4_9) & $i(all_4_10) & $i(all_4_11) % 18.06/3.30 | & $i(all_4_12) & $i(all_4_13) & $i(all_4_14) & $i(all_4_15) & % 18.06/3.30 | $i(all_4_16) & $i(all_4_17) & $i(all_4_18) & $i(all_4_19) & % 18.06/3.30 | $i(all_4_20) & $i(all_4_21) & $i(all_4_22) & $i(all_4_23) & % 18.06/3.30 | $i(all_4_24) & $i(all_4_25) & $i(all_4_26) & $i(all_4_27) & % 18.06/3.30 | $i(all_4_28) & $i(all_4_29) & $i(all_4_30) & $i(all_4_31) & % 18.06/3.30 | $i(all_4_32) & $i(all_4_33) & $i(all_4_34) & $i(all_4_35) & % 18.06/3.30 | $i(all_4_36) & $i(all_4_37) & $i(all_4_38) & $i(all_4_39) & % 18.06/3.30 | $i(all_4_40) & $i(all_4_41) & $i(all_4_42) & $i(all_4_43) & % 18.06/3.30 | $i(all_4_44) & $i(all_4_45) & $i(all_4_46) & $i(all_4_47) & % 18.06/3.30 | $i(all_4_48) & $i(all_4_49) & $i(all_4_50) & $i(all_4_51) & % 18.06/3.30 | $i(all_4_52) & $i(all_4_53) & $i(all_4_54) & $i(all_4_55) & % 18.06/3.30 | $i(all_4_56) & $i(all_4_57) & $i(all_4_58) & $i(all_4_59) & % 18.06/3.30 | $i(all_4_60) & $i(all_4_61) & $i(all_4_62) & $i(all_4_63) & % 18.06/3.30 | $i(all_4_64) & $i(all_4_65) & $i(all_4_66) & $i(all_4_67) & % 18.06/3.30 | $i(all_4_68) & $i(all_4_69) & $i(all_4_70) & $i(all_4_71) & % 18.06/3.30 | $i(all_4_72) & $i(all_4_73) & $i(all_4_74) & $i(all_4_75) & % 18.06/3.30 | $i(all_4_76) & $i(all_4_77) & $i(all_4_78) & $i(all_4_79) & % 18.06/3.30 | $i(all_4_80) & $i(all_4_81) & $i(all_4_82) & $i(all_4_83) & % 18.06/3.30 | $i(all_4_84) & $i(all_4_85) & $i(all_4_86) & $i(all_4_87) & % 18.06/3.30 | $i(all_4_88) & $i(all_4_89) & $i(all_4_90) & $i(all_4_91) & % 18.06/3.30 | $i(all_4_92) & $i(all_4_93) & $i(all_4_94) & $i(all_4_95) & % 18.06/3.30 | $i(all_4_96) & $i(all_4_97) & $i(all_4_98) & $i(all_4_99) & % 18.06/3.30 | $i(all_4_100) & $i(all_4_101) & $i(all_4_102) & $i(all_4_103) & % 18.06/3.30 | $i(all_4_104) & $i(all_4_105) & $i(all_4_106) & $i(all_4_107) & % 18.06/3.30 | $i(all_4_108) & $i(all_4_109) & (all_4_100 = e14 | all_4_100 = e13 | % 18.06/3.30 | all_4_100 = e12 | all_4_100 = e10 | all_4_100 = e11) & (all_4_101 = % 18.06/3.30 | e14 | all_4_101 = e13 | all_4_101 = e12 | all_4_101 = e10 | % 18.06/3.30 | all_4_101 = e11) & (all_4_102 = e14 | all_4_102 = e13 | all_4_102 = % 18.06/3.30 | e12 | all_4_102 = e10 | all_4_102 = e11) & (all_4_103 = e14 | % 18.06/3.30 | all_4_103 = e13 | all_4_103 = e12 | all_4_103 = e10 | all_4_103 = % 18.06/3.30 | e11) & (all_4_104 = e14 | all_4_104 = e13 | all_4_104 = e12 | % 18.06/3.30 | all_4_104 = e10 | all_4_104 = e11) & (all_4_105 = e24 | all_4_105 = % 18.06/3.30 | e23 | all_4_105 = e22 | all_4_105 = e20 | all_4_105 = e21) & % 18.06/3.30 | (all_4_106 = e24 | all_4_106 = e23 | all_4_106 = e22 | all_4_106 = e20 % 18.06/3.30 | | all_4_106 = e21) & (all_4_107 = e24 | all_4_107 = e23 | all_4_107 % 18.06/3.30 | = e22 | all_4_107 = e20 | all_4_107 = e21) & (all_4_108 = e24 | % 18.06/3.30 | all_4_108 = e23 | all_4_108 = e22 | all_4_108 = e20 | all_4_108 = % 18.06/3.30 | e21) & (all_4_109 = e24 | all_4_109 = e23 | all_4_109 = e22 | % 18.06/3.30 | all_4_109 = e20 | all_4_109 = e21) % 18.06/3.30 | % 18.06/3.30 | ALPHA: (55) implies: % 18.06/3.30 | (56) op1(e11, e11) = all_4_87 % 18.06/3.30 | (57) op1(e11, e10) = all_4_89 % 18.06/3.30 | (58) op1(e11, e12) = all_4_85 % 18.06/3.30 | (59) op1(e11, e14) = all_4_81 % 18.06/3.30 | (60) op1(e10, e11) = all_4_97 % 18.06/3.30 | (61) op1(e10, e10) = all_4_99 % 18.06/3.30 | (62) op1(e10, e12) = all_4_95 % 18.06/3.30 | (63) op1(e10, e13) = all_4_93 % 18.06/3.30 | (64) op1(e10, e14) = all_4_91 % 18.06/3.30 | (65) op1(e12, e10) = all_4_79 % 18.06/3.30 | (66) op1(e12, e12) = all_4_75 % 18.06/3.30 | (67) op1(e12, e13) = all_4_73 % 18.06/3.30 | (68) op1(e12, e14) = all_4_71 % 18.06/3.30 | (69) op1(e13, e11) = all_4_67 % 18.06/3.30 | (70) op1(e13, e10) = all_4_69 % 18.06/3.30 | (71) op1(e13, e13) = all_4_63 % 18.06/3.30 | (72) op1(e13, e14) = all_4_61 % 18.06/3.30 | (73) op1(e14, e11) = all_4_57 % 18.06/3.30 | (74) op1(e14, e10) = all_4_59 % 18.06/3.30 | (75) op1(e14, e12) = all_4_55 % 18.06/3.30 | (76) op1(e14, e13) = all_4_53 % 18.06/3.30 | (77) op1(e14, e14) = all_4_51 % 18.06/3.30 | (78) op1(all_4_102, all_4_104) = all_4_28 % 18.06/3.30 | (79) op1(all_4_102, all_4_103) = all_4_26 % 18.06/3.30 | (80) op1(all_4_102, all_4_102) = all_4_24 % 18.06/3.30 | (81) op1(all_4_102, all_4_101) = all_4_22 % 18.06/3.30 | (82) op1(all_4_101, all_4_102) = all_4_14 % 18.06/3.30 | (83) op1(all_4_101, all_4_101) = all_4_12 % 18.06/3.30 | (84) op2(e21, e21) = all_4_37 % 18.06/3.30 | (85) op2(e21, e20) = all_4_39 % 18.06/3.31 | (86) op2(e21, e22) = all_4_35 % 18.06/3.31 | (87) op2(e21, e23) = all_4_33 % 18.06/3.31 | (88) op2(e21, e24) = all_4_31 % 18.06/3.31 | (89) op2(e20, e21) = all_4_47 % 18.06/3.31 | (90) op2(e20, e20) = all_4_49 % 18.06/3.31 | (91) op2(e20, e22) = all_4_45 % 18.06/3.31 | (92) op2(e20, e23) = all_4_43 % 18.06/3.31 | (93) op2(e22, e21) = all_4_27 % 18.06/3.31 | (94) op2(e22, e20) = all_4_29 % 18.06/3.31 | (95) op2(e22, e22) = all_4_25 % 18.06/3.31 | (96) op2(e22, e23) = all_4_23 % 18.06/3.31 | (97) op2(e22, e24) = all_4_21 % 18.06/3.31 | (98) op2(e23, e21) = all_4_17 % 18.06/3.31 | (99) op2(e23, e20) = all_4_19 % 18.06/3.31 | (100) op2(e23, e22) = all_4_15 % 18.06/3.31 | (101) op2(e23, e23) = all_4_13 % 18.06/3.31 | (102) op2(e23, e24) = all_4_11 % 18.06/3.31 | (103) op2(e24, e21) = all_4_7 % 18.06/3.31 | (104) op2(e24, e20) = all_4_9 % 18.06/3.31 | (105) op2(e24, e22) = all_4_5 % 18.06/3.31 | (106) op2(e24, e23) = all_4_3 % 18.06/3.31 | (107) op2(e24, e24) = all_4_1 % 18.06/3.31 | (108) op2(all_4_109, all_4_109) = all_4_98 % 18.06/3.31 | (109) op2(all_4_108, all_4_108) = all_4_86 % 18.06/3.31 | (110) op2(all_4_107, all_4_107) = all_4_74 % 18.06/3.31 | (111) op2(all_4_106, all_4_106) = all_4_62 % 18.06/3.31 | (112) j(e21) = all_4_103 % 18.06/3.31 | (113) j(e20) = all_4_104 % 18.06/3.31 | (114) j(e22) = all_4_102 % 18.06/3.31 | (115) j(e23) = all_4_101 % 18.06/3.31 | (116) j(e24) = all_4_100 % 18.06/3.31 | (117) j(all_4_109) = e10 % 18.06/3.31 | (118) j(all_4_49) = all_4_48 % 18.06/3.31 | (119) j(all_4_47) = all_4_46 % 18.06/3.31 | (120) j(all_4_45) = all_4_44 % 18.06/3.31 | (121) j(all_4_43) = all_4_42 % 18.06/3.31 | (122) j(all_4_39) = all_4_38 % 18.06/3.31 | (123) j(all_4_37) = all_4_36 % 18.06/3.31 | (124) j(all_4_35) = all_4_34 % 18.06/3.31 | (125) j(all_4_33) = all_4_32 % 18.06/3.31 | (126) j(all_4_31) = all_4_30 % 18.06/3.31 | (127) j(all_4_29) = all_4_28 % 18.06/3.31 | (128) j(all_4_27) = all_4_26 % 18.06/3.31 | (129) j(all_4_25) = all_4_24 % 18.06/3.31 | (130) j(all_4_23) = all_4_22 % 18.06/3.31 | (131) j(all_4_21) = all_4_20 % 18.06/3.31 | (132) j(all_4_19) = all_4_18 % 18.06/3.31 | (133) j(all_4_17) = all_4_16 % 18.06/3.31 | (134) j(all_4_15) = all_4_14 % 18.06/3.31 | (135) j(all_4_13) = all_4_12 % 18.06/3.31 | (136) j(all_4_11) = all_4_10 % 18.06/3.31 | (137) j(all_4_9) = all_4_8 % 18.06/3.31 | (138) j(all_4_7) = all_4_6 % 18.06/3.31 | (139) j(all_4_5) = all_4_4 % 18.06/3.31 | (140) j(all_4_3) = all_4_2 % 18.06/3.31 | (141) j(all_4_1) = all_4_0 % 18.06/3.31 | (142) h(e11) = all_4_108 % 18.06/3.31 | (143) h(e10) = all_4_109 % 18.06/3.31 | (144) h(e12) = all_4_107 % 18.06/3.31 | (145) h(e13) = all_4_106 % 18.06/3.31 | (146) h(all_4_104) = e20 % 18.06/3.31 | (147) h(all_4_102) = e22 % 18.06/3.31 | (148) h(all_4_99) = all_4_98 % 18.06/3.31 | (149) h(all_4_97) = all_4_96 % 18.06/3.31 | (150) h(all_4_95) = all_4_94 % 18.06/3.31 | (151) h(all_4_93) = all_4_92 % 18.06/3.31 | (152) h(all_4_89) = all_4_88 % 18.06/3.31 | (153) h(all_4_87) = all_4_86 % 18.06/3.31 | (154) h(all_4_85) = all_4_84 % 18.06/3.31 | (155) h(all_4_81) = all_4_80 % 18.06/3.31 | (156) h(all_4_79) = all_4_78 % 18.06/3.31 | (157) h(all_4_75) = all_4_74 % 18.06/3.31 | (158) h(all_4_73) = all_4_72 % 18.06/3.31 | (159) h(all_4_71) = all_4_70 % 18.06/3.31 | (160) h(all_4_69) = all_4_68 % 18.06/3.31 | (161) h(all_4_67) = all_4_66 % 18.06/3.31 | (162) h(all_4_63) = all_4_62 % 18.06/3.31 | (163) h(all_4_61) = all_4_60 % 18.06/3.31 | (164) h(all_4_57) = all_4_56 % 18.06/3.31 | (165) h(all_4_55) = all_4_54 % 18.06/3.31 | (166) h(all_4_53) = all_4_52 % 18.06/3.31 | (167) h(all_4_51) = all_4_50 % 18.06/3.31 | (168) all_4_109 = e24 | all_4_109 = e23 | all_4_109 = e22 | all_4_109 = e20 % 18.06/3.31 | | all_4_109 = e21 % 18.06/3.31 | (169) all_4_108 = e24 | all_4_108 = e23 | all_4_108 = e22 | all_4_108 = e20 % 18.06/3.31 | | all_4_108 = e21 % 18.06/3.31 | (170) all_4_102 = e14 | all_4_102 = e13 | all_4_102 = e12 | all_4_102 = e10 % 18.06/3.31 | | all_4_102 = e11 % 18.06/3.31 | % 18.06/3.31 | GROUND_INST: instantiating (53) with e10, all_4_87, e11, e11, simplifying with % 18.06/3.31 | (4), (56) gives: % 18.06/3.31 | (171) all_4_87 = e10 % 18.06/3.31 | % 18.06/3.31 | GROUND_INST: instantiating (53) with e11, all_4_89, e10, e11, simplifying with % 18.06/3.31 | (5), (57) gives: % 18.06/3.31 | (172) all_4_89 = e11 % 18.06/3.31 | % 18.06/3.31 | GROUND_INST: instantiating (53) with e13, all_4_85, e12, e11, simplifying with % 18.06/3.31 | (6), (58) gives: % 18.06/3.31 | (173) all_4_85 = e13 % 18.06/3.31 | % 18.06/3.31 | GROUND_INST: instantiating (53) with e12, all_4_81, e14, e11, simplifying with % 18.06/3.31 | (7), (59) gives: % 18.06/3.31 | (174) all_4_81 = e12 % 18.06/3.31 | % 18.06/3.31 | GROUND_INST: instantiating (53) with e11, all_4_97, e11, e10, simplifying with % 18.06/3.31 | (8), (60) gives: % 18.06/3.32 | (175) all_4_97 = e11 % 18.06/3.32 | % 18.06/3.32 | GROUND_INST: instantiating (53) with e10, all_4_99, e10, e10, simplifying with % 18.06/3.32 | (9), (61) gives: % 18.06/3.32 | (176) all_4_99 = e10 % 18.06/3.32 | % 18.06/3.32 | GROUND_INST: instantiating (53) with e12, all_4_95, e12, e10, simplifying with % 18.06/3.32 | (10), (62) gives: % 18.06/3.32 | (177) all_4_95 = e12 % 18.06/3.32 | % 18.06/3.32 | GROUND_INST: instantiating (53) with e13, all_4_93, e13, e10, simplifying with % 18.06/3.32 | (11), (63) gives: % 18.06/3.32 | (178) all_4_93 = e13 % 18.06/3.32 | % 18.06/3.32 | GROUND_INST: instantiating (53) with e14, all_4_91, e14, e10, simplifying with % 18.06/3.32 | (12), (64) gives: % 18.06/3.32 | (179) all_4_91 = e14 % 18.06/3.32 | % 18.06/3.32 | GROUND_INST: instantiating (53) with e12, all_4_79, e10, e12, simplifying with % 18.06/3.32 | (13), (65) gives: % 18.06/3.32 | (180) all_4_79 = e12 % 18.06/3.32 | % 18.06/3.32 | GROUND_INST: instantiating (53) with e10, all_4_75, e12, e12, simplifying with % 18.06/3.32 | (14), (66) gives: % 18.06/3.32 | (181) all_4_75 = e10 % 18.06/3.32 | % 18.06/3.32 | GROUND_INST: instantiating (53) with e11, all_4_73, e13, e12, simplifying with % 18.06/3.32 | (15), (67) gives: % 18.06/3.32 | (182) all_4_73 = e11 % 18.06/3.32 | % 18.06/3.32 | GROUND_INST: instantiating (53) with e13, all_4_71, e14, e12, simplifying with % 18.06/3.32 | (16), (68) gives: % 18.06/3.32 | (183) all_4_71 = e13 % 18.06/3.32 | % 18.06/3.32 | GROUND_INST: instantiating (53) with e12, all_4_67, e11, e13, simplifying with % 18.06/3.32 | (17), (69) gives: % 18.06/3.32 | (184) all_4_67 = e12 % 18.06/3.32 | % 18.06/3.32 | GROUND_INST: instantiating (53) with e13, all_4_69, e10, e13, simplifying with % 18.06/3.32 | (18), (70) gives: % 18.06/3.32 | (185) all_4_69 = e13 % 18.06/3.32 | % 18.06/3.32 | GROUND_INST: instantiating (53) with e10, all_4_63, e13, e13, simplifying with % 18.06/3.32 | (19), (71) gives: % 18.06/3.32 | (186) all_4_63 = e10 % 18.06/3.32 | % 18.06/3.32 | GROUND_INST: instantiating (53) with e11, all_4_61, e14, e13, simplifying with % 18.06/3.32 | (20), (72) gives: % 18.06/3.32 | (187) all_4_61 = e11 % 18.06/3.32 | % 18.06/3.32 | GROUND_INST: instantiating (53) with e13, all_4_57, e11, e14, simplifying with % 18.06/3.32 | (21), (73) gives: % 18.06/3.32 | (188) all_4_57 = e13 % 18.06/3.32 | % 18.06/3.32 | GROUND_INST: instantiating (53) with e14, all_4_59, e10, e14, simplifying with % 18.06/3.32 | (22), (74) gives: % 18.06/3.32 | (189) all_4_59 = e14 % 18.06/3.32 | % 18.06/3.32 | GROUND_INST: instantiating (53) with e11, all_4_55, e12, e14, simplifying with % 18.06/3.32 | (23), (75) gives: % 18.06/3.32 | (190) all_4_55 = e11 % 18.06/3.32 | % 18.06/3.32 | GROUND_INST: instantiating (53) with e12, all_4_53, e13, e14, simplifying with % 18.06/3.32 | (24), (76) gives: % 18.06/3.32 | (191) all_4_53 = e12 % 18.06/3.32 | % 18.06/3.32 | GROUND_INST: instantiating (53) with e10, all_4_51, e14, e14, simplifying with % 18.06/3.32 | (25), (77) gives: % 18.06/3.32 | (192) all_4_51 = e10 % 18.06/3.32 | % 18.06/3.32 | GROUND_INST: instantiating (54) with e20, all_4_37, e21, e21, simplifying with % 18.06/3.32 | (26), (84) gives: % 18.06/3.32 | (193) all_4_37 = e20 % 18.06/3.32 | % 18.06/3.32 | GROUND_INST: instantiating (54) with e21, all_4_39, e20, e21, simplifying with % 18.06/3.32 | (27), (85) gives: % 18.06/3.32 | (194) all_4_39 = e21 % 18.06/3.32 | % 18.06/3.32 | GROUND_INST: instantiating (54) with e24, all_4_35, e22, e21, simplifying with % 18.06/3.32 | (28), (86) gives: % 18.06/3.32 | (195) all_4_35 = e24 % 18.06/3.32 | % 18.06/3.32 | GROUND_INST: instantiating (54) with e22, all_4_33, e23, e21, simplifying with % 18.06/3.32 | (29), (87) gives: % 18.06/3.32 | (196) all_4_33 = e22 % 18.06/3.32 | % 18.06/3.32 | GROUND_INST: instantiating (54) with e23, all_4_31, e24, e21, simplifying with % 18.06/3.32 | (30), (88) gives: % 18.06/3.32 | (197) all_4_31 = e23 % 18.06/3.32 | % 18.06/3.32 | GROUND_INST: instantiating (54) with e21, all_4_47, e21, e20, simplifying with % 18.06/3.32 | (31), (89) gives: % 18.06/3.32 | (198) all_4_47 = e21 % 18.06/3.32 | % 18.06/3.32 | GROUND_INST: instantiating (54) with e20, all_4_49, e20, e20, simplifying with % 18.06/3.32 | (32), (90) gives: % 18.06/3.32 | (199) all_4_49 = e20 % 18.06/3.32 | % 18.06/3.32 | GROUND_INST: instantiating (54) with e22, all_4_45, e22, e20, simplifying with % 18.06/3.32 | (33), (91) gives: % 18.06/3.32 | (200) all_4_45 = e22 % 18.06/3.32 | % 18.06/3.32 | GROUND_INST: instantiating (54) with e23, all_4_43, e23, e20, simplifying with % 18.06/3.32 | (34), (92) gives: % 18.06/3.32 | (201) all_4_43 = e23 % 18.06/3.32 | % 18.06/3.32 | GROUND_INST: instantiating (54) with e24, all_4_27, e21, e22, simplifying with % 18.06/3.32 | (35), (93) gives: % 18.06/3.32 | (202) all_4_27 = e24 % 18.06/3.32 | % 18.06/3.32 | GROUND_INST: instantiating (54) with e22, all_4_29, e20, e22, simplifying with % 18.06/3.32 | (36), (94) gives: % 18.06/3.32 | (203) all_4_29 = e22 % 18.06/3.32 | % 18.06/3.32 | GROUND_INST: instantiating (54) with e23, all_4_25, e22, e22, simplifying with % 18.06/3.32 | (37), (95) gives: % 18.06/3.32 | (204) all_4_25 = e23 % 18.06/3.32 | % 18.06/3.32 | GROUND_INST: instantiating (54) with e20, all_4_23, e23, e22, simplifying with % 18.06/3.32 | (38), (96) gives: % 18.06/3.32 | (205) all_4_23 = e20 % 18.06/3.32 | % 18.06/3.32 | GROUND_INST: instantiating (54) with e21, all_4_21, e24, e22, simplifying with % 18.06/3.32 | (39), (97) gives: % 18.06/3.32 | (206) all_4_21 = e21 % 18.06/3.32 | % 18.06/3.32 | GROUND_INST: instantiating (54) with e22, all_4_17, e21, e23, simplifying with % 18.06/3.32 | (40), (98) gives: % 18.06/3.33 | (207) all_4_17 = e22 % 18.06/3.33 | % 18.06/3.33 | GROUND_INST: instantiating (54) with e23, all_4_19, e20, e23, simplifying with % 18.06/3.33 | (41), (99) gives: % 18.06/3.33 | (208) all_4_19 = e23 % 18.06/3.33 | % 18.06/3.33 | GROUND_INST: instantiating (54) with e21, all_4_15, e22, e23, simplifying with % 18.06/3.33 | (42), (100) gives: % 18.06/3.33 | (209) all_4_15 = e21 % 18.06/3.33 | % 18.06/3.33 | GROUND_INST: instantiating (54) with e24, all_4_13, e23, e23, simplifying with % 18.06/3.33 | (43), (101) gives: % 18.06/3.33 | (210) all_4_13 = e24 % 18.06/3.33 | % 18.40/3.33 | GROUND_INST: instantiating (54) with e20, all_4_11, e24, e23, simplifying with % 18.40/3.33 | (44), (102) gives: % 18.40/3.33 | (211) all_4_11 = e20 % 18.40/3.33 | % 18.40/3.33 | GROUND_INST: instantiating (54) with e23, all_4_7, e21, e24, simplifying with % 18.40/3.33 | (45), (103) gives: % 18.40/3.33 | (212) all_4_7 = e23 % 18.40/3.33 | % 18.40/3.33 | GROUND_INST: instantiating (54) with e24, all_4_9, e20, e24, simplifying with % 18.40/3.33 | (46), (104) gives: % 18.40/3.33 | (213) all_4_9 = e24 % 18.40/3.33 | % 18.40/3.33 | GROUND_INST: instantiating (54) with e20, all_4_5, e22, e24, simplifying with % 18.40/3.33 | (47), (105) gives: % 18.40/3.33 | (214) all_4_5 = e20 % 18.40/3.33 | % 18.40/3.33 | GROUND_INST: instantiating (54) with e21, all_4_3, e23, e24, simplifying with % 18.40/3.33 | (48), (106) gives: % 18.40/3.33 | (215) all_4_3 = e21 % 18.40/3.33 | % 18.40/3.33 | GROUND_INST: instantiating (54) with e22, all_4_1, e24, e24, simplifying with % 18.40/3.33 | (49), (107) gives: % 18.40/3.33 | (216) all_4_1 = e22 % 18.40/3.33 | % 18.40/3.33 | REDUCE: (167), (192) imply: % 18.40/3.33 | (217) h(e10) = all_4_50 % 18.40/3.33 | % 18.40/3.33 | REDUCE: (166), (191) imply: % 18.40/3.33 | (218) h(e12) = all_4_52 % 18.40/3.33 | % 18.40/3.33 | REDUCE: (165), (190) imply: % 18.40/3.33 | (219) h(e11) = all_4_54 % 18.40/3.33 | % 18.40/3.33 | REDUCE: (164), (188) imply: % 18.40/3.33 | (220) h(e13) = all_4_56 % 18.40/3.33 | % 18.40/3.33 | REDUCE: (163), (187) imply: % 18.40/3.33 | (221) h(e11) = all_4_60 % 18.40/3.33 | % 18.40/3.33 | REDUCE: (162), (186) imply: % 18.40/3.33 | (222) h(e10) = all_4_62 % 18.40/3.33 | % 18.40/3.33 | REDUCE: (161), (184) imply: % 18.40/3.33 | (223) h(e12) = all_4_66 % 18.40/3.33 | % 18.40/3.33 | REDUCE: (160), (185) imply: % 18.40/3.33 | (224) h(e13) = all_4_68 % 18.40/3.33 | % 18.40/3.33 | REDUCE: (159), (183) imply: % 18.40/3.33 | (225) h(e13) = all_4_70 % 18.40/3.33 | % 18.40/3.33 | REDUCE: (158), (182) imply: % 18.40/3.33 | (226) h(e11) = all_4_72 % 18.40/3.33 | % 18.40/3.33 | REDUCE: (157), (181) imply: % 18.40/3.33 | (227) h(e10) = all_4_74 % 18.40/3.33 | % 18.40/3.33 | REDUCE: (156), (180) imply: % 18.40/3.33 | (228) h(e12) = all_4_78 % 18.40/3.33 | % 18.40/3.33 | REDUCE: (155), (174) imply: % 18.40/3.33 | (229) h(e12) = all_4_80 % 18.40/3.33 | % 18.40/3.33 | REDUCE: (154), (173) imply: % 18.40/3.33 | (230) h(e13) = all_4_84 % 18.40/3.33 | % 18.40/3.33 | REDUCE: (153), (171) imply: % 18.40/3.33 | (231) h(e10) = all_4_86 % 18.40/3.33 | % 18.40/3.33 | REDUCE: (152), (172) imply: % 18.40/3.33 | (232) h(e11) = all_4_88 % 18.40/3.33 | % 18.40/3.33 | REDUCE: (151), (178) imply: % 18.40/3.33 | (233) h(e13) = all_4_92 % 18.40/3.33 | % 18.40/3.33 | REDUCE: (150), (177) imply: % 18.40/3.33 | (234) h(e12) = all_4_94 % 18.40/3.33 | % 18.40/3.33 | REDUCE: (149), (175) imply: % 18.40/3.33 | (235) h(e11) = all_4_96 % 18.40/3.33 | % 18.40/3.33 | REDUCE: (148), (176) imply: % 18.40/3.33 | (236) h(e10) = all_4_98 % 18.40/3.33 | % 18.40/3.33 | REDUCE: (141), (216) imply: % 18.40/3.33 | (237) j(e22) = all_4_0 % 18.40/3.33 | % 18.40/3.33 | REDUCE: (140), (215) imply: % 18.40/3.33 | (238) j(e21) = all_4_2 % 18.40/3.33 | % 18.40/3.33 | REDUCE: (139), (214) imply: % 18.40/3.33 | (239) j(e20) = all_4_4 % 18.40/3.33 | % 18.40/3.33 | REDUCE: (138), (212) imply: % 18.40/3.33 | (240) j(e23) = all_4_6 % 18.40/3.33 | % 18.40/3.33 | REDUCE: (137), (213) imply: % 18.40/3.33 | (241) j(e24) = all_4_8 % 18.40/3.33 | % 18.40/3.33 | REDUCE: (136), (211) imply: % 18.40/3.33 | (242) j(e20) = all_4_10 % 18.40/3.33 | % 18.40/3.33 | REDUCE: (135), (210) imply: % 18.40/3.33 | (243) j(e24) = all_4_12 % 18.40/3.33 | % 18.40/3.33 | REDUCE: (134), (209) imply: % 18.40/3.33 | (244) j(e21) = all_4_14 % 18.40/3.33 | % 18.40/3.33 | REDUCE: (133), (207) imply: % 18.40/3.33 | (245) j(e22) = all_4_16 % 18.40/3.33 | % 18.40/3.33 | REDUCE: (132), (208) imply: % 18.40/3.33 | (246) j(e23) = all_4_18 % 18.40/3.33 | % 18.40/3.33 | REDUCE: (131), (206) imply: % 18.40/3.33 | (247) j(e21) = all_4_20 % 18.40/3.33 | % 18.40/3.33 | REDUCE: (130), (205) imply: % 18.40/3.33 | (248) j(e20) = all_4_22 % 18.40/3.33 | % 18.40/3.33 | REDUCE: (129), (204) imply: % 18.40/3.33 | (249) j(e23) = all_4_24 % 18.40/3.33 | % 18.40/3.33 | REDUCE: (128), (202) imply: % 18.40/3.33 | (250) j(e24) = all_4_26 % 18.40/3.33 | % 18.40/3.33 | REDUCE: (127), (203) imply: % 18.40/3.33 | (251) j(e22) = all_4_28 % 18.40/3.33 | % 18.40/3.33 | REDUCE: (126), (197) imply: % 18.40/3.33 | (252) j(e23) = all_4_30 % 18.40/3.33 | % 18.40/3.33 | REDUCE: (125), (196) imply: % 18.40/3.33 | (253) j(e22) = all_4_32 % 18.40/3.33 | % 18.40/3.33 | REDUCE: (124), (195) imply: % 18.40/3.33 | (254) j(e24) = all_4_34 % 18.40/3.33 | % 18.40/3.33 | REDUCE: (123), (193) imply: % 18.40/3.33 | (255) j(e20) = all_4_36 % 18.40/3.33 | % 18.40/3.33 | REDUCE: (122), (194) imply: % 18.40/3.33 | (256) j(e21) = all_4_38 % 18.40/3.33 | % 18.40/3.33 | REDUCE: (121), (201) imply: % 18.40/3.33 | (257) j(e23) = all_4_42 % 18.40/3.33 | % 18.40/3.33 | REDUCE: (120), (200) imply: % 18.40/3.33 | (258) j(e22) = all_4_44 % 18.40/3.33 | % 18.40/3.33 | REDUCE: (119), (198) imply: % 18.40/3.33 | (259) j(e21) = all_4_46 % 18.40/3.33 | % 18.40/3.33 | REDUCE: (118), (199) imply: % 18.40/3.33 | (260) j(e20) = all_4_48 % 18.40/3.33 | % 18.40/3.33 | GROUND_INST: instantiating (51) with all_4_103, all_4_38, e21, simplifying % 18.40/3.33 | with (112), (256) gives: % 18.40/3.33 | (261) all_4_38 = all_4_103 % 18.40/3.33 | % 18.40/3.33 | GROUND_INST: instantiating (51) with all_4_20, all_4_14, e21, simplifying with % 18.40/3.33 | (244), (247) gives: % 18.40/3.33 | (262) all_4_14 = all_4_20 % 18.40/3.33 | % 18.40/3.33 | GROUND_INST: instantiating (51) with all_4_38, all_4_14, e21, simplifying with % 18.40/3.33 | (244), (256) gives: % 18.40/3.33 | (263) all_4_14 = all_4_38 % 18.40/3.33 | % 18.40/3.33 | GROUND_INST: instantiating (51) with all_4_14, all_4_2, e21, simplifying with % 18.40/3.33 | (238), (244) gives: % 18.40/3.33 | (264) all_4_2 = all_4_14 % 18.40/3.33 | % 18.40/3.33 | GROUND_INST: instantiating (51) with all_4_46, all_4_2, e21, simplifying with % 18.40/3.33 | (238), (259) gives: % 18.40/3.33 | (265) all_4_2 = all_4_46 % 18.40/3.33 | % 18.40/3.33 | GROUND_INST: instantiating (51) with all_4_104, all_4_36, e20, simplifying % 18.40/3.33 | with (113), (255) gives: % 18.40/3.33 | (266) all_4_36 = all_4_104 % 18.40/3.33 | % 18.40/3.34 | GROUND_INST: instantiating (51) with all_4_36, all_4_22, e20, simplifying with % 18.40/3.34 | (248), (255) gives: % 18.40/3.34 | (267) all_4_22 = all_4_36 % 18.40/3.34 | % 18.40/3.34 | GROUND_INST: instantiating (51) with all_4_10, all_4_4, e20, simplifying with % 18.40/3.34 | (239), (242) gives: % 18.40/3.34 | (268) all_4_4 = all_4_10 % 18.40/3.34 | % 18.40/3.34 | GROUND_INST: instantiating (51) with all_4_22, all_4_4, e20, simplifying with % 18.40/3.34 | (239), (248) gives: % 18.40/3.34 | (269) all_4_4 = all_4_22 % 18.40/3.34 | % 18.40/3.34 | GROUND_INST: instantiating (51) with all_4_48, all_4_4, e20, simplifying with % 18.40/3.34 | (239), (260) gives: % 18.40/3.34 | (270) all_4_4 = all_4_48 % 18.40/3.34 | % 18.40/3.34 | GROUND_INST: instantiating (51) with all_4_102, all_4_28, e22, simplifying % 18.40/3.34 | with (114), (251) gives: % 18.40/3.34 | (271) all_4_28 = all_4_102 % 18.40/3.34 | % 18.40/3.34 | GROUND_INST: instantiating (51) with all_4_28, all_4_16, e22, simplifying with % 18.40/3.34 | (245), (251) gives: % 18.40/3.34 | (272) all_4_16 = all_4_28 % 18.40/3.34 | % 18.40/3.34 | GROUND_INST: instantiating (51) with all_4_32, all_4_16, e22, simplifying with % 18.40/3.34 | (245), (253) gives: % 18.40/3.34 | (273) all_4_16 = all_4_32 % 18.40/3.34 | % 18.40/3.34 | GROUND_INST: instantiating (51) with all_4_28, all_4_0, e22, simplifying with % 18.40/3.34 | (237), (251) gives: % 18.40/3.34 | (274) all_4_0 = all_4_28 % 18.40/3.34 | % 18.40/3.34 | GROUND_INST: instantiating (51) with all_4_44, all_4_0, e22, simplifying with % 18.40/3.34 | (237), (258) gives: % 18.40/3.34 | (275) all_4_0 = all_4_44 % 18.40/3.34 | % 18.40/3.34 | GROUND_INST: instantiating (51) with all_4_101, all_4_24, e23, simplifying % 18.40/3.34 | with (115), (249) gives: % 18.40/3.34 | (276) all_4_24 = all_4_101 % 18.40/3.34 | % 18.40/3.34 | GROUND_INST: instantiating (51) with all_4_30, all_4_24, e23, simplifying with % 18.40/3.34 | (249), (252) gives: % 18.40/3.34 | (277) all_4_24 = all_4_30 % 18.40/3.34 | % 18.40/3.34 | GROUND_INST: instantiating (51) with all_4_24, all_4_18, e23, simplifying with % 18.40/3.34 | (246), (249) gives: % 18.40/3.34 | (278) all_4_18 = all_4_24 % 18.40/3.34 | % 18.40/3.34 | GROUND_INST: instantiating (51) with all_4_18, all_4_6, e23, simplifying with % 18.40/3.34 | (240), (246) gives: % 18.40/3.34 | (279) all_4_6 = all_4_18 % 18.40/3.34 | % 18.40/3.34 | GROUND_INST: instantiating (51) with all_4_42, all_4_6, e23, simplifying with % 18.40/3.34 | (240), (257) gives: % 18.40/3.34 | (280) all_4_6 = all_4_42 % 18.40/3.34 | % 18.40/3.34 | GROUND_INST: instantiating (51) with all_4_100, all_4_8, e24, simplifying with % 18.40/3.34 | (116), (241) gives: % 18.40/3.34 | (281) all_4_8 = all_4_100 % 18.40/3.34 | % 18.40/3.34 | GROUND_INST: instantiating (51) with all_4_12, all_4_8, e24, simplifying with % 18.40/3.34 | (241), (243) gives: % 18.40/3.34 | (282) all_4_8 = all_4_12 % 18.40/3.34 | % 18.40/3.34 | GROUND_INST: instantiating (51) with all_4_26, all_4_8, e24, simplifying with % 18.40/3.34 | (241), (250) gives: % 18.40/3.34 | (283) all_4_8 = all_4_26 % 18.40/3.34 | % 18.40/3.34 | GROUND_INST: instantiating (51) with all_4_34, all_4_8, e24, simplifying with % 18.40/3.34 | (241), (254) gives: % 18.40/3.34 | (284) all_4_8 = all_4_34 % 18.40/3.34 | % 18.40/3.34 | GROUND_INST: instantiating (52) with all_4_88, all_4_60, e11, simplifying with % 18.40/3.34 | (221), (232) gives: % 18.40/3.34 | (285) all_4_60 = all_4_88 % 18.40/3.34 | % 18.40/3.34 | GROUND_INST: instantiating (52) with all_4_96, all_4_60, e11, simplifying with % 18.40/3.34 | (221), (235) gives: % 18.40/3.34 | (286) all_4_60 = all_4_96 % 18.40/3.34 | % 18.40/3.34 | GROUND_INST: instantiating (52) with all_4_108, all_4_54, e11, simplifying % 18.40/3.34 | with (142), (219) gives: % 18.40/3.34 | (287) all_4_54 = all_4_108 % 18.40/3.34 | % 18.40/3.34 | GROUND_INST: instantiating (52) with all_4_60, all_4_54, e11, simplifying with % 18.40/3.34 | (219), (221) gives: % 18.40/3.34 | (288) all_4_54 = all_4_60 % 18.40/3.34 | % 18.40/3.34 | GROUND_INST: instantiating (52) with all_4_72, all_4_54, e11, simplifying with % 18.40/3.34 | (219), (226) gives: % 18.40/3.34 | (289) all_4_54 = all_4_72 % 18.40/3.34 | % 18.40/3.34 | GROUND_INST: instantiating (52) with all_4_109, all_4_86, e10, simplifying % 18.40/3.34 | with (143), (231) gives: % 18.40/3.34 | (290) all_4_86 = all_4_109 % 18.40/3.34 | % 18.40/3.34 | GROUND_INST: instantiating (52) with all_4_86, all_4_74, e10, simplifying with % 18.40/3.34 | (227), (231) gives: % 18.40/3.34 | (291) all_4_74 = all_4_86 % 18.40/3.34 | % 18.40/3.34 | GROUND_INST: instantiating (52) with all_4_62, all_4_50, e10, simplifying with % 18.40/3.34 | (217), (222) gives: % 18.40/3.34 | (292) all_4_50 = all_4_62 % 18.40/3.34 | % 18.40/3.34 | GROUND_INST: instantiating (52) with all_4_74, all_4_50, e10, simplifying with % 18.40/3.34 | (217), (227) gives: % 18.40/3.34 | (293) all_4_50 = all_4_74 % 18.40/3.34 | % 18.40/3.34 | GROUND_INST: instantiating (52) with all_4_98, all_4_50, e10, simplifying with % 18.40/3.34 | (217), (236) gives: % 18.40/3.34 | (294) all_4_50 = all_4_98 % 18.40/3.34 | % 18.40/3.34 | GROUND_INST: instantiating (52) with all_4_107, all_4_80, e12, simplifying % 18.40/3.34 | with (144), (229) gives: % 18.40/3.34 | (295) all_4_80 = all_4_107 % 18.40/3.34 | % 18.40/3.34 | GROUND_INST: instantiating (52) with all_4_80, all_4_78, e12, simplifying with % 18.40/3.34 | (228), (229) gives: % 18.40/3.34 | (296) all_4_78 = all_4_80 % 18.40/3.34 | % 18.40/3.34 | GROUND_INST: instantiating (52) with all_4_66, all_4_52, e12, simplifying with % 18.40/3.34 | (218), (223) gives: % 18.40/3.34 | (297) all_4_52 = all_4_66 % 18.40/3.34 | % 18.40/3.34 | GROUND_INST: instantiating (52) with all_4_78, all_4_52, e12, simplifying with % 18.40/3.34 | (218), (228) gives: % 18.40/3.34 | (298) all_4_52 = all_4_78 % 18.40/3.34 | % 18.40/3.34 | GROUND_INST: instantiating (52) with all_4_94, all_4_52, e12, simplifying with % 18.40/3.34 | (218), (234) gives: % 18.40/3.34 | (299) all_4_52 = all_4_94 % 18.40/3.34 | % 18.40/3.34 | GROUND_INST: instantiating (52) with all_4_106, all_4_68, e13, simplifying % 18.40/3.34 | with (145), (224) gives: % 18.40/3.34 | (300) all_4_68 = all_4_106 % 18.40/3.34 | % 18.40/3.34 | GROUND_INST: instantiating (52) with all_4_70, all_4_68, e13, simplifying with % 18.40/3.34 | (224), (225) gives: % 18.40/3.34 | (301) all_4_68 = all_4_70 % 18.40/3.34 | % 18.40/3.34 | GROUND_INST: instantiating (52) with all_4_84, all_4_68, e13, simplifying with % 18.40/3.34 | (224), (230) gives: % 18.40/3.34 | (302) all_4_68 = all_4_84 % 18.40/3.34 | % 18.40/3.34 | GROUND_INST: instantiating (52) with all_4_70, all_4_56, e13, simplifying with % 18.40/3.34 | (220), (225) gives: % 18.40/3.34 | (303) all_4_56 = all_4_70 % 18.40/3.34 | % 18.40/3.34 | GROUND_INST: instantiating (52) with all_4_92, all_4_56, e13, simplifying with % 18.40/3.34 | (220), (233) gives: % 18.40/3.34 | (304) all_4_56 = all_4_92 % 18.40/3.34 | % 18.40/3.34 | COMBINE_EQS: (274), (275) imply: % 18.40/3.34 | (305) all_4_28 = all_4_44 % 18.40/3.34 | % 18.40/3.34 | SIMP: (305) implies: % 18.40/3.34 | (306) all_4_28 = all_4_44 % 18.40/3.34 | % 18.40/3.34 | COMBINE_EQS: (264), (265) imply: % 18.40/3.34 | (307) all_4_14 = all_4_46 % 18.40/3.34 | % 18.40/3.34 | SIMP: (307) implies: % 18.40/3.34 | (308) all_4_14 = all_4_46 % 18.40/3.34 | % 18.40/3.34 | COMBINE_EQS: (268), (270) imply: % 18.40/3.34 | (309) all_4_10 = all_4_48 % 18.40/3.34 | % 18.40/3.34 | COMBINE_EQS: (268), (269) imply: % 18.40/3.34 | (310) all_4_10 = all_4_22 % 18.40/3.34 | % 18.40/3.34 | COMBINE_EQS: (279), (280) imply: % 18.40/3.34 | (311) all_4_18 = all_4_42 % 18.40/3.34 | % 18.40/3.34 | SIMP: (311) implies: % 18.40/3.34 | (312) all_4_18 = all_4_42 % 18.40/3.34 | % 18.40/3.34 | COMBINE_EQS: (281), (282) imply: % 18.40/3.34 | (313) all_4_12 = all_4_100 % 18.40/3.34 | % 18.40/3.34 | COMBINE_EQS: (282), (284) imply: % 18.40/3.34 | (314) all_4_12 = all_4_34 % 18.40/3.34 | % 18.40/3.34 | COMBINE_EQS: (282), (283) imply: % 18.40/3.34 | (315) all_4_12 = all_4_26 % 18.40/3.34 | % 18.40/3.34 | COMBINE_EQS: (309), (310) imply: % 18.40/3.34 | (316) all_4_22 = all_4_48 % 18.40/3.34 | % 18.40/3.34 | SIMP: (316) implies: % 18.40/3.34 | (317) all_4_22 = all_4_48 % 18.40/3.34 | % 18.40/3.34 | COMBINE_EQS: (314), (315) imply: % 18.40/3.34 | (318) all_4_26 = all_4_34 % 18.40/3.34 | % 18.40/3.34 | COMBINE_EQS: (313), (315) imply: % 18.40/3.34 | (319) all_4_26 = all_4_100 % 18.40/3.34 | % 18.40/3.34 | COMBINE_EQS: (262), (263) imply: % 18.40/3.34 | (320) all_4_20 = all_4_38 % 18.40/3.34 | % 18.40/3.34 | COMBINE_EQS: (262), (308) imply: % 18.40/3.34 | (321) all_4_20 = all_4_46 % 18.40/3.34 | % 18.40/3.34 | COMBINE_EQS: (272), (273) imply: % 18.40/3.34 | (322) all_4_28 = all_4_32 % 18.40/3.34 | % 18.40/3.34 | SIMP: (322) implies: % 18.40/3.34 | (323) all_4_28 = all_4_32 % 18.40/3.34 | % 18.40/3.34 | COMBINE_EQS: (278), (312) imply: % 18.40/3.34 | (324) all_4_24 = all_4_42 % 18.40/3.34 | % 18.40/3.34 | SIMP: (324) implies: % 18.40/3.34 | (325) all_4_24 = all_4_42 % 18.40/3.34 | % 18.40/3.34 | COMBINE_EQS: (320), (321) imply: % 18.40/3.34 | (326) all_4_38 = all_4_46 % 18.40/3.34 | % 18.40/3.34 | SIMP: (326) implies: % 18.40/3.34 | (327) all_4_38 = all_4_46 % 18.40/3.34 | % 18.40/3.34 | COMBINE_EQS: (267), (317) imply: % 18.40/3.34 | (328) all_4_36 = all_4_48 % 18.40/3.34 | % 18.40/3.34 | SIMP: (328) implies: % 18.40/3.34 | (329) all_4_36 = all_4_48 % 18.40/3.34 | % 18.40/3.34 | COMBINE_EQS: (276), (277) imply: % 18.40/3.34 | (330) all_4_30 = all_4_101 % 18.40/3.34 | % 18.40/3.34 | COMBINE_EQS: (277), (325) imply: % 18.40/3.34 | (331) all_4_30 = all_4_42 % 18.40/3.34 | % 18.40/3.34 | COMBINE_EQS: (318), (319) imply: % 18.40/3.34 | (332) all_4_34 = all_4_100 % 18.40/3.34 | % 18.40/3.34 | COMBINE_EQS: (271), (323) imply: % 18.40/3.34 | (333) all_4_32 = all_4_102 % 18.40/3.34 | % 18.40/3.34 | COMBINE_EQS: (306), (323) imply: % 18.40/3.34 | (334) all_4_32 = all_4_44 % 18.40/3.34 | % 18.40/3.34 | COMBINE_EQS: (330), (331) imply: % 18.40/3.34 | (335) all_4_42 = all_4_101 % 18.40/3.34 | % 18.40/3.34 | COMBINE_EQS: (333), (334) imply: % 18.40/3.34 | (336) all_4_44 = all_4_102 % 18.40/3.34 | % 18.40/3.34 | COMBINE_EQS: (266), (329) imply: % 18.40/3.34 | (337) all_4_48 = all_4_104 % 18.40/3.34 | % 18.40/3.34 | COMBINE_EQS: (261), (327) imply: % 18.40/3.34 | (338) all_4_46 = all_4_103 % 18.40/3.34 | % 18.40/3.34 | COMBINE_EQS: (292), (294) imply: % 18.40/3.34 | (339) all_4_62 = all_4_98 % 18.40/3.34 | % 18.40/3.34 | COMBINE_EQS: (292), (293) imply: % 18.40/3.34 | (340) all_4_62 = all_4_74 % 18.40/3.34 | % 18.40/3.34 | COMBINE_EQS: (297), (299) imply: % 18.40/3.34 | (341) all_4_66 = all_4_94 % 18.40/3.35 | % 18.40/3.35 | COMBINE_EQS: (297), (298) imply: % 18.40/3.35 | (342) all_4_66 = all_4_78 % 18.40/3.35 | % 18.40/3.35 | COMBINE_EQS: (287), (289) imply: % 18.40/3.35 | (343) all_4_72 = all_4_108 % 18.40/3.35 | % 18.40/3.35 | COMBINE_EQS: (288), (289) imply: % 18.40/3.35 | (344) all_4_60 = all_4_72 % 18.40/3.35 | % 18.40/3.35 | SIMP: (344) implies: % 18.40/3.35 | (345) all_4_60 = all_4_72 % 18.40/3.35 | % 18.40/3.35 | COMBINE_EQS: (303), (304) imply: % 18.40/3.35 | (346) all_4_70 = all_4_92 % 18.40/3.35 | % 18.40/3.35 | SIMP: (346) implies: % 18.40/3.35 | (347) all_4_70 = all_4_92 % 18.40/3.35 | % 18.40/3.35 | COMBINE_EQS: (285), (286) imply: % 18.40/3.35 | (348) all_4_88 = all_4_96 % 18.40/3.35 | % 18.40/3.35 | COMBINE_EQS: (285), (345) imply: % 18.40/3.35 | (349) all_4_72 = all_4_88 % 18.40/3.35 | % 18.40/3.35 | SIMP: (349) implies: % 18.40/3.35 | (350) all_4_72 = all_4_88 % 18.40/3.35 | % 18.40/3.35 | COMBINE_EQS: (339), (340) imply: % 18.40/3.35 | (351) all_4_74 = all_4_98 % 18.40/3.35 | % 18.40/3.35 | SIMP: (351) implies: % 18.40/3.35 | (352) all_4_74 = all_4_98 % 18.40/3.35 | % 18.40/3.35 | COMBINE_EQS: (341), (342) imply: % 18.40/3.35 | (353) all_4_78 = all_4_94 % 18.40/3.35 | % 18.40/3.35 | SIMP: (353) implies: % 18.40/3.35 | (354) all_4_78 = all_4_94 % 18.40/3.35 | % 18.40/3.35 | COMBINE_EQS: (300), (302) imply: % 18.40/3.35 | (355) all_4_84 = all_4_106 % 18.40/3.35 | % 18.40/3.35 | COMBINE_EQS: (301), (302) imply: % 18.40/3.35 | (356) all_4_70 = all_4_84 % 18.40/3.35 | % 18.40/3.35 | SIMP: (356) implies: % 18.40/3.35 | (357) all_4_70 = all_4_84 % 18.40/3.35 | % 18.40/3.35 | COMBINE_EQS: (347), (357) imply: % 18.40/3.35 | (358) all_4_84 = all_4_92 % 18.40/3.35 | % 18.40/3.35 | SIMP: (358) implies: % 18.40/3.35 | (359) all_4_84 = all_4_92 % 18.40/3.35 | % 18.40/3.35 | COMBINE_EQS: (343), (350) imply: % 18.40/3.35 | (360) all_4_88 = all_4_108 % 18.40/3.35 | % 18.40/3.35 | SIMP: (360) implies: % 18.40/3.35 | (361) all_4_88 = all_4_108 % 18.40/3.35 | % 18.40/3.35 | COMBINE_EQS: (291), (352) imply: % 18.40/3.35 | (362) all_4_86 = all_4_98 % 18.40/3.35 | % 18.40/3.35 | SIMP: (362) implies: % 18.40/3.35 | (363) all_4_86 = all_4_98 % 18.40/3.35 | % 18.40/3.35 | COMBINE_EQS: (296), (354) imply: % 18.40/3.35 | (364) all_4_80 = all_4_94 % 18.40/3.35 | % 18.40/3.35 | SIMP: (364) implies: % 18.40/3.35 | (365) all_4_80 = all_4_94 % 18.40/3.35 | % 18.40/3.35 | COMBINE_EQS: (295), (365) imply: % 18.40/3.35 | (366) all_4_94 = all_4_107 % 18.40/3.35 | % 18.40/3.35 | COMBINE_EQS: (355), (359) imply: % 18.40/3.35 | (367) all_4_92 = all_4_106 % 18.40/3.35 | % 18.40/3.35 | COMBINE_EQS: (290), (363) imply: % 18.40/3.35 | (368) all_4_98 = all_4_109 % 18.40/3.35 | % 18.40/3.35 | COMBINE_EQS: (348), (361) imply: % 18.40/3.35 | (369) all_4_96 = all_4_108 % 18.40/3.35 | % 18.40/3.35 | COMBINE_EQS: (352), (368) imply: % 18.40/3.35 | (370) all_4_74 = all_4_109 % 18.40/3.35 | % 18.40/3.35 | COMBINE_EQS: (339), (368) imply: % 18.40/3.35 | (371) all_4_62 = all_4_109 % 18.40/3.35 | % 18.40/3.35 | COMBINE_EQS: (317), (337) imply: % 18.40/3.35 | (372) all_4_22 = all_4_104 % 18.40/3.35 | % 18.40/3.35 | COMBINE_EQS: (321), (338) imply: % 18.40/3.35 | (373) all_4_20 = all_4_103 % 18.40/3.35 | % 18.40/3.35 | COMBINE_EQS: (262), (373) imply: % 18.40/3.35 | (374) all_4_14 = all_4_103 % 18.40/3.35 | % 18.40/3.35 | REDUCE: (111), (371) imply: % 18.40/3.35 | (375) op2(all_4_106, all_4_106) = all_4_109 % 18.40/3.35 | % 18.40/3.35 | REDUCE: (110), (370) imply: % 18.40/3.35 | (376) op2(all_4_107, all_4_107) = all_4_109 % 18.40/3.35 | % 18.40/3.35 | REDUCE: (109), (290) imply: % 18.40/3.35 | (377) op2(all_4_108, all_4_108) = all_4_109 % 18.40/3.35 | % 18.40/3.35 | REDUCE: (108), (368) imply: % 18.40/3.35 | (378) op2(all_4_109, all_4_109) = all_4_109 % 18.40/3.35 | % 18.40/3.35 | REDUCE: (83), (313) imply: % 18.40/3.35 | (379) op1(all_4_101, all_4_101) = all_4_100 % 18.40/3.35 | % 18.40/3.35 | REDUCE: (82), (374) imply: % 18.40/3.35 | (380) op1(all_4_101, all_4_102) = all_4_103 % 18.40/3.35 | % 18.40/3.35 | REDUCE: (81), (372) imply: % 18.40/3.35 | (381) op1(all_4_102, all_4_101) = all_4_104 % 18.40/3.35 | % 18.40/3.35 | REDUCE: (80), (276) imply: % 18.40/3.35 | (382) op1(all_4_102, all_4_102) = all_4_101 % 18.40/3.35 | % 18.40/3.35 | REDUCE: (79), (319) imply: % 18.40/3.35 | (383) op1(all_4_102, all_4_103) = all_4_100 % 18.40/3.35 | % 18.40/3.35 | REDUCE: (78), (271) imply: % 18.40/3.35 | (384) op1(all_4_102, all_4_104) = all_4_102 % 18.40/3.35 | % 18.40/3.35 | BETA: splitting (168) gives: % 18.40/3.35 | % 18.40/3.35 | Case 1: % 18.40/3.35 | | % 18.40/3.35 | | (385) all_4_109 = e24 % 18.40/3.35 | | % 18.40/3.35 | | REDUCE: (378), (385) imply: % 18.40/3.35 | | (386) op2(e24, e24) = e24 % 18.40/3.35 | | % 18.40/3.35 | | GROUND_INST: instantiating (54) with e22, e24, e24, e24, simplifying with % 18.40/3.35 | | (49), (386) gives: % 18.40/3.35 | | (387) e24 = e22 % 18.40/3.35 | | % 18.40/3.35 | | REDUCE: (3), (387) imply: % 18.40/3.35 | | (388) $false % 18.40/3.35 | | % 18.40/3.35 | | CLOSE: (388) is inconsistent. % 18.40/3.35 | | % 18.40/3.35 | Case 2: % 18.40/3.35 | | % 18.40/3.35 | | (389) ~ (all_4_109 = e24) % 18.40/3.35 | | (390) all_4_109 = e23 | all_4_109 = e22 | all_4_109 = e20 | all_4_109 = % 18.40/3.35 | | e21 % 18.40/3.35 | | % 18.40/3.35 | | BETA: splitting (170) gives: % 18.40/3.35 | | % 18.40/3.35 | | Case 1: % 18.40/3.35 | | | % 18.40/3.35 | | | (391) all_4_102 = e14 % 18.40/3.35 | | | % 18.40/3.35 | | | REDUCE: (380), (391) imply: % 18.40/3.35 | | | (392) op1(all_4_101, e14) = all_4_103 % 18.40/3.35 | | | % 18.40/3.35 | | | REDUCE: (381), (391) imply: % 18.40/3.35 | | | (393) op1(e14, all_4_101) = all_4_104 % 18.40/3.35 | | | % 18.40/3.35 | | | REDUCE: (382), (391) imply: % 18.40/3.35 | | | (394) op1(e14, e14) = all_4_101 % 18.40/3.35 | | | % 18.40/3.35 | | | REDUCE: (383), (391) imply: % 18.40/3.35 | | | (395) op1(e14, all_4_103) = all_4_100 % 18.40/3.35 | | | % 18.40/3.35 | | | REDUCE: (384), (391) imply: % 18.40/3.35 | | | (396) op1(e14, all_4_104) = e14 % 18.40/3.35 | | | % 18.40/3.35 | | | GROUND_INST: instantiating (53) with e10, all_4_101, e14, e14, simplifying % 18.40/3.35 | | | with (25), (394) gives: % 18.40/3.35 | | | (397) all_4_101 = e10 % 18.40/3.35 | | | % 18.40/3.35 | | | REDUCE: (379), (397) imply: % 18.40/3.35 | | | (398) op1(e10, e10) = all_4_100 % 18.40/3.35 | | | % 18.40/3.35 | | | REDUCE: (392), (397) imply: % 18.40/3.35 | | | (399) op1(e10, e14) = all_4_103 % 18.40/3.35 | | | % 18.40/3.35 | | | REDUCE: (393), (397) imply: % 18.40/3.35 | | | (400) op1(e14, e10) = all_4_104 % 18.40/3.35 | | | % 18.40/3.35 | | | GROUND_INST: instantiating (53) with e10, all_4_100, e10, e10, simplifying % 18.40/3.35 | | | with (9), (398) gives: % 18.40/3.35 | | | (401) all_4_100 = e10 % 18.40/3.35 | | | % 18.40/3.35 | | | GROUND_INST: instantiating (53) with e14, all_4_103, e14, e10, simplifying % 18.40/3.35 | | | with (12), (399) gives: % 18.40/3.35 | | | (402) all_4_103 = e14 % 18.40/3.35 | | | % 18.40/3.35 | | | GROUND_INST: instantiating (53) with e14, all_4_104, e10, e14, simplifying % 18.40/3.35 | | | with (22), (400) gives: % 18.40/3.35 | | | (403) all_4_104 = e14 % 18.40/3.35 | | | % 18.40/3.35 | | | REDUCE: (396), (403) imply: % 18.40/3.35 | | | (404) op1(e14, e14) = e14 % 18.40/3.35 | | | % 18.40/3.35 | | | GROUND_INST: instantiating (53) with e10, e14, e14, e14, simplifying with % 18.40/3.35 | | | (25), (404) gives: % 18.40/3.35 | | | (405) e14 = e10 % 18.40/3.35 | | | % 18.40/3.35 | | | REDUCE: (1), (405) imply: % 18.40/3.35 | | | (406) $false % 18.40/3.35 | | | % 18.40/3.35 | | | CLOSE: (406) is inconsistent. % 18.40/3.35 | | | % 18.40/3.35 | | Case 2: % 18.40/3.35 | | | % 18.40/3.36 | | | (407) all_4_102 = e13 | all_4_102 = e12 | all_4_102 = e10 | all_4_102 = % 18.40/3.36 | | | e11 % 18.40/3.36 | | | % 18.40/3.36 | | | BETA: splitting (169) gives: % 18.40/3.36 | | | % 18.40/3.36 | | | Case 1: % 18.40/3.36 | | | | % 18.40/3.36 | | | | (408) all_4_108 = e24 % 18.40/3.36 | | | | % 18.40/3.36 | | | | REDUCE: (377), (408) imply: % 18.40/3.36 | | | | (409) op2(e24, e24) = all_4_109 % 18.40/3.36 | | | | % 18.40/3.36 | | | | GROUND_INST: instantiating (54) with e22, all_4_109, e24, e24, % 18.40/3.36 | | | | simplifying with (49), (409) gives: % 18.40/3.36 | | | | (410) all_4_109 = e22 % 18.40/3.36 | | | | % 18.40/3.36 | | | | REDUCE: (378), (410) imply: % 18.40/3.36 | | | | (411) op2(e22, e22) = e22 % 18.40/3.36 | | | | % 18.40/3.36 | | | | GROUND_INST: instantiating (54) with e23, e22, e22, e22, simplifying % 18.40/3.36 | | | | with (37), (411) gives: % 18.40/3.36 | | | | (412) e23 = e22 % 18.40/3.36 | | | | % 18.40/3.36 | | | | REDUCE: (2), (412) imply: % 18.40/3.36 | | | | (413) $false % 18.40/3.36 | | | | % 18.40/3.36 | | | | CLOSE: (413) is inconsistent. % 18.40/3.36 | | | | % 18.40/3.36 | | | Case 2: % 18.40/3.36 | | | | % 18.40/3.36 | | | | (414) all_4_108 = e23 | all_4_108 = e22 | all_4_108 = e20 | all_4_108 % 18.40/3.36 | | | | = e21 % 18.40/3.36 | | | | % 18.40/3.36 | | | | BETA: splitting (390) gives: % 18.40/3.36 | | | | % 18.40/3.36 | | | | Case 1: % 18.40/3.36 | | | | | % 18.40/3.36 | | | | | (415) all_4_109 = e23 % 18.40/3.36 | | | | | % 18.40/3.36 | | | | | REDUCE: (389), (415) imply: % 18.40/3.36 | | | | | (416) ~ (e24 = e23) % 18.40/3.36 | | | | | % 18.40/3.36 | | | | | SIMP: (416) implies: % 18.40/3.36 | | | | | (417) ~ (e24 = e23) % 18.40/3.36 | | | | | % 18.40/3.36 | | | | | REDUCE: (378), (415) imply: % 18.40/3.36 | | | | | (418) op2(e23, e23) = e23 % 18.40/3.36 | | | | | % 18.40/3.36 | | | | | GROUND_INST: instantiating (54) with e24, e23, e23, e23, simplifying % 18.40/3.36 | | | | | with (43), (418) gives: % 18.40/3.36 | | | | | (419) e24 = e23 % 18.40/3.36 | | | | | % 18.40/3.36 | | | | | REDUCE: (417), (419) imply: % 18.40/3.36 | | | | | (420) $false % 18.40/3.36 | | | | | % 18.40/3.36 | | | | | CLOSE: (420) is inconsistent. % 18.40/3.36 | | | | | % 18.40/3.36 | | | | Case 2: % 18.40/3.36 | | | | | % 18.40/3.36 | | | | | (421) ~ (all_4_109 = e23) % 18.40/3.36 | | | | | (422) all_4_109 = e22 | all_4_109 = e20 | all_4_109 = e21 % 18.40/3.36 | | | | | % 18.40/3.36 | | | | | BETA: splitting (407) gives: % 18.40/3.36 | | | | | % 18.40/3.36 | | | | | Case 1: % 18.40/3.36 | | | | | | % 18.40/3.36 | | | | | | (423) all_4_102 = e13 % 18.40/3.36 | | | | | | % 18.40/3.36 | | | | | | REDUCE: (147), (423) imply: % 18.40/3.36 | | | | | | (424) h(e13) = e22 % 18.40/3.36 | | | | | | % 18.40/3.36 | | | | | | GROUND_INST: instantiating (52) with all_4_106, e22, e13, % 18.40/3.36 | | | | | | simplifying with (145), (424) gives: % 18.40/3.36 | | | | | | (425) all_4_106 = e22 % 18.40/3.36 | | | | | | % 18.40/3.36 | | | | | | REDUCE: (375), (425) imply: % 18.40/3.36 | | | | | | (426) op2(e22, e22) = all_4_109 % 18.40/3.36 | | | | | | % 18.40/3.36 | | | | | | REF_CLOSE: (37), (54), (421), (426) are inconsistent by sub-proof % 18.40/3.36 | | | | | | #1. % 18.40/3.36 | | | | | | % 18.40/3.36 | | | | | Case 2: % 18.40/3.36 | | | | | | % 18.40/3.36 | | | | | | (427) all_4_102 = e12 | all_4_102 = e10 | all_4_102 = e11 % 18.40/3.36 | | | | | | % 18.40/3.36 | | | | | | BETA: splitting (414) gives: % 18.40/3.36 | | | | | | % 18.40/3.36 | | | | | | Case 1: % 18.40/3.36 | | | | | | | % 18.40/3.36 | | | | | | | (428) all_4_108 = e23 % 18.40/3.36 | | | | | | | % 18.40/3.36 | | | | | | | REDUCE: (377), (428) imply: % 18.40/3.36 | | | | | | | (429) op2(e23, e23) = all_4_109 % 18.40/3.36 | | | | | | | % 18.40/3.36 | | | | | | | GROUND_INST: instantiating (54) with e24, all_4_109, e23, e23, % 18.40/3.36 | | | | | | | simplifying with (43), (429) gives: % 18.40/3.36 | | | | | | | (430) all_4_109 = e24 % 18.40/3.36 | | | | | | | % 18.40/3.36 | | | | | | | REDUCE: (389), (430) imply: % 18.40/3.36 | | | | | | | (431) $false % 18.40/3.36 | | | | | | | % 18.40/3.36 | | | | | | | CLOSE: (431) is inconsistent. % 18.40/3.36 | | | | | | | % 18.40/3.36 | | | | | | Case 2: % 18.40/3.36 | | | | | | | % 18.40/3.36 | | | | | | | (432) all_4_108 = e22 | all_4_108 = e20 | all_4_108 = e21 % 18.40/3.36 | | | | | | | % 18.40/3.36 | | | | | | | BETA: splitting (422) gives: % 18.40/3.36 | | | | | | | % 18.40/3.36 | | | | | | | Case 1: % 18.40/3.36 | | | | | | | | % 18.40/3.36 | | | | | | | | (433) all_4_109 = e22 % 18.40/3.36 | | | | | | | | % 18.40/3.36 | | | | | | | | REDUCE: (421), (433) imply: % 18.40/3.36 | | | | | | | | (434) ~ (e23 = e22) % 18.40/3.36 | | | | | | | | % 18.40/3.36 | | | | | | | | REDUCE: (378), (433) imply: % 18.40/3.36 | | | | | | | | (435) op2(e22, e22) = e22 % 18.40/3.36 | | | | | | | | % 18.40/3.36 | | | | | | | | GROUND_INST: instantiating (54) with e23, e22, e22, e22, % 18.40/3.36 | | | | | | | | simplifying with (37), (435) gives: % 18.40/3.36 | | | | | | | | (436) e23 = e22 % 18.40/3.36 | | | | | | | | % 18.40/3.36 | | | | | | | | REDUCE: (2), (436) imply: % 18.40/3.36 | | | | | | | | (437) $false % 18.40/3.36 | | | | | | | | % 18.40/3.36 | | | | | | | | CLOSE: (437) is inconsistent. % 18.40/3.36 | | | | | | | | % 18.40/3.36 | | | | | | | Case 2: % 18.40/3.36 | | | | | | | | % 18.40/3.36 | | | | | | | | (438) ~ (all_4_109 = e22) % 18.40/3.36 | | | | | | | | (439) all_4_109 = e20 | all_4_109 = e21 % 18.40/3.36 | | | | | | | | % 18.40/3.36 | | | | | | | | BETA: splitting (427) gives: % 18.40/3.36 | | | | | | | | % 18.40/3.36 | | | | | | | | Case 1: % 18.40/3.36 | | | | | | | | | % 18.40/3.36 | | | | | | | | | (440) all_4_102 = e12 % 18.40/3.36 | | | | | | | | | % 18.40/3.36 | | | | | | | | | REDUCE: (147), (440) imply: % 18.40/3.36 | | | | | | | | | (441) h(e12) = e22 % 18.40/3.36 | | | | | | | | | % 18.40/3.36 | | | | | | | | | GROUND_INST: instantiating (52) with all_4_107, e22, e12, % 18.40/3.36 | | | | | | | | | simplifying with (144), (441) gives: % 18.40/3.36 | | | | | | | | | (442) all_4_107 = e22 % 18.40/3.36 | | | | | | | | | % 18.40/3.36 | | | | | | | | | REDUCE: (376), (442) imply: % 18.40/3.36 | | | | | | | | | (443) op2(e22, e22) = all_4_109 % 18.40/3.36 | | | | | | | | | % 18.40/3.36 | | | | | | | | | REF_CLOSE: (37), (54), (421), (443) are inconsistent by % 18.40/3.36 | | | | | | | | | sub-proof #1. % 18.40/3.36 | | | | | | | | | % 18.40/3.36 | | | | | | | | Case 2: % 18.40/3.36 | | | | | | | | | % 18.40/3.36 | | | | | | | | | (444) all_4_102 = e10 | all_4_102 = e11 % 18.40/3.36 | | | | | | | | | % 18.40/3.36 | | | | | | | | | BETA: splitting (432) gives: % 18.40/3.36 | | | | | | | | | % 18.40/3.36 | | | | | | | | | Case 1: % 18.40/3.36 | | | | | | | | | | % 18.40/3.36 | | | | | | | | | | (445) all_4_108 = e22 % 18.40/3.36 | | | | | | | | | | % 18.40/3.36 | | | | | | | | | | REDUCE: (377), (445) imply: % 18.40/3.36 | | | | | | | | | | (446) op2(e22, e22) = all_4_109 % 18.40/3.36 | | | | | | | | | | % 18.40/3.36 | | | | | | | | | | GROUND_INST: instantiating (54) with e23, all_4_109, e22, e22, % 18.40/3.36 | | | | | | | | | | simplifying with (37), (446) gives: % 18.40/3.36 | | | | | | | | | | (447) all_4_109 = e23 % 18.40/3.36 | | | | | | | | | | % 18.40/3.36 | | | | | | | | | | REDUCE: (421), (447) imply: % 18.40/3.36 | | | | | | | | | | (448) $false % 18.40/3.36 | | | | | | | | | | % 18.40/3.36 | | | | | | | | | | CLOSE: (448) is inconsistent. % 18.40/3.36 | | | | | | | | | | % 18.40/3.36 | | | | | | | | | Case 2: % 18.40/3.36 | | | | | | | | | | % 18.40/3.36 | | | | | | | | | | (449) ~ (all_4_108 = e22) % 18.40/3.36 | | | | | | | | | | % 18.40/3.36 | | | | | | | | | | BETA: splitting (439) gives: % 18.40/3.36 | | | | | | | | | | % 18.40/3.36 | | | | | | | | | | Case 1: % 18.40/3.36 | | | | | | | | | | | % 18.40/3.36 | | | | | | | | | | | (450) all_4_109 = e20 % 18.40/3.36 | | | | | | | | | | | % 18.40/3.36 | | | | | | | | | | | REDUCE: (438), (450) imply: % 18.40/3.36 | | | | | | | | | | | (451) ~ (e22 = e20) % 18.40/3.36 | | | | | | | | | | | % 18.40/3.36 | | | | | | | | | | | SIMP: (451) implies: % 18.40/3.36 | | | | | | | | | | | (452) ~ (e22 = e20) % 18.40/3.36 | | | | | | | | | | | % 18.40/3.36 | | | | | | | | | | | REDUCE: (117), (450) imply: % 18.40/3.36 | | | | | | | | | | | (453) j(e20) = e10 % 18.40/3.36 | | | | | | | | | | | % 18.40/3.36 | | | | | | | | | | | GROUND_INST: instantiating (51) with all_4_104, e10, e20, % 18.40/3.36 | | | | | | | | | | | simplifying with (113), (453) gives: % 18.40/3.36 | | | | | | | | | | | (454) all_4_104 = e10 % 18.40/3.36 | | | | | | | | | | | % 18.40/3.36 | | | | | | | | | | | REDUCE: (146), (454) imply: % 18.40/3.36 | | | | | | | | | | | (455) h(e10) = e20 % 18.40/3.36 | | | | | | | | | | | % 18.40/3.36 | | | | | | | | | | | BETA: splitting (444) gives: % 18.40/3.36 | | | | | | | | | | | % 18.40/3.36 | | | | | | | | | | | Case 1: % 18.40/3.36 | | | | | | | | | | | | % 18.40/3.36 | | | | | | | | | | | | (456) all_4_102 = e10 % 18.40/3.36 | | | | | | | | | | | | % 18.40/3.36 | | | | | | | | | | | | REDUCE: (147), (456) imply: % 18.40/3.36 | | | | | | | | | | | | (457) h(e10) = e22 % 18.40/3.36 | | | | | | | | | | | | % 18.40/3.36 | | | | | | | | | | | | GROUND_INST: instantiating (52) with e20, e22, e10, simplifying % 18.40/3.36 | | | | | | | | | | | | with (455), (457) gives: % 18.40/3.36 | | | | | | | | | | | | (458) e22 = e20 % 18.40/3.36 | | | | | | | | | | | | % 18.40/3.36 | | | | | | | | | | | | REDUCE: (452), (458) imply: % 18.40/3.36 | | | | | | | | | | | | (459) $false % 18.40/3.36 | | | | | | | | | | | | % 18.40/3.36 | | | | | | | | | | | | CLOSE: (459) is inconsistent. % 18.40/3.36 | | | | | | | | | | | | % 18.40/3.36 | | | | | | | | | | | Case 2: % 18.40/3.36 | | | | | | | | | | | | % 18.40/3.36 | | | | | | | | | | | | (460) all_4_102 = e11 % 18.40/3.36 | | | | | | | | | | | | % 18.40/3.36 | | | | | | | | | | | | REDUCE: (147), (460) imply: % 18.40/3.36 | | | | | | | | | | | | (461) h(e11) = e22 % 18.40/3.36 | | | | | | | | | | | | % 18.40/3.36 | | | | | | | | | | | | GROUND_INST: instantiating (52) with all_4_108, e22, e11, % 18.40/3.36 | | | | | | | | | | | | simplifying with (142), (461) gives: % 18.40/3.36 | | | | | | | | | | | | (462) all_4_108 = e22 % 18.40/3.36 | | | | | | | | | | | | % 18.40/3.36 | | | | | | | | | | | | REDUCE: (449), (462) imply: % 18.40/3.36 | | | | | | | | | | | | (463) $false % 18.40/3.36 | | | | | | | | | | | | % 18.40/3.36 | | | | | | | | | | | | CLOSE: (463) is inconsistent. % 18.40/3.36 | | | | | | | | | | | | % 18.40/3.36 | | | | | | | | | | | End of split % 18.40/3.36 | | | | | | | | | | | % 18.40/3.36 | | | | | | | | | | Case 2: % 18.40/3.36 | | | | | | | | | | | % 18.40/3.36 | | | | | | | | | | | (464) all_4_109 = e21 % 18.40/3.36 | | | | | | | | | | | (465) ~ (all_4_109 = e20) % 18.40/3.36 | | | | | | | | | | | % 18.40/3.36 | | | | | | | | | | | REDUCE: (464), (465) imply: % 18.40/3.36 | | | | | | | | | | | (466) ~ (e20 = e21) % 18.40/3.36 | | | | | | | | | | | % 18.40/3.36 | | | | | | | | | | | SIMP: (466) implies: % 18.40/3.36 | | | | | | | | | | | (467) ~ (e20 = e21) % 18.40/3.36 | | | | | | | | | | | % 18.40/3.36 | | | | | | | | | | | REDUCE: (378), (464) imply: % 18.40/3.36 | | | | | | | | | | | (468) op2(e21, e21) = e21 % 18.40/3.36 | | | | | | | | | | | % 18.40/3.36 | | | | | | | | | | | GROUND_INST: instantiating (54) with e20, e21, e21, e21, % 18.40/3.36 | | | | | | | | | | | simplifying with (26), (468) gives: % 18.40/3.36 | | | | | | | | | | | (469) e20 = e21 % 18.40/3.36 | | | | | | | | | | | % 18.40/3.36 | | | | | | | | | | | REDUCE: (467), (469) imply: % 18.40/3.36 | | | | | | | | | | | (470) $false % 18.40/3.36 | | | | | | | | | | | % 18.40/3.36 | | | | | | | | | | | CLOSE: (470) is inconsistent. % 18.40/3.36 | | | | | | | | | | | % 18.57/3.36 | | | | | | | | | | End of split % 18.57/3.36 | | | | | | | | | | % 18.57/3.36 | | | | | | | | | End of split % 18.57/3.36 | | | | | | | | | % 18.57/3.36 | | | | | | | | End of split % 18.57/3.36 | | | | | | | | % 18.57/3.36 | | | | | | | End of split % 18.57/3.36 | | | | | | | % 18.57/3.36 | | | | | | End of split % 18.57/3.36 | | | | | | % 18.57/3.36 | | | | | End of split % 18.57/3.36 | | | | | % 18.57/3.36 | | | | End of split % 18.57/3.36 | | | | % 18.57/3.36 | | | End of split % 18.57/3.36 | | | % 18.57/3.36 | | End of split % 18.57/3.36 | | % 18.57/3.36 | End of split % 18.57/3.36 | % 18.57/3.36 End of proof % 18.57/3.36 % 18.57/3.36 Sub-proof #1 shows that the following formulas are inconsistent: % 18.57/3.36 ---------------------------------------------------------------- % 18.57/3.36 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 18.57/3.36 (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0)) % 18.57/3.36 (2) op2(e22, e22) = all_4_109 % 18.57/3.36 (3) op2(e22, e22) = e23 % 18.57/3.36 (4) ~ (all_4_109 = e23) % 18.57/3.36 % 18.57/3.36 Begin of proof % 18.57/3.36 | % 18.57/3.37 | GROUND_INST: instantiating (1) with e23, all_4_109, e22, e22, simplifying with % 18.57/3.37 | (2), (3) gives: % 18.57/3.37 | (5) all_4_109 = e23 % 18.57/3.37 | % 18.57/3.37 | REDUCE: (4), (5) imply: % 18.57/3.37 | (6) $false % 18.57/3.37 | % 18.57/3.37 | CLOSE: (6) is inconsistent. % 18.57/3.37 | % 18.57/3.37 End of proof % 18.57/3.37 % SZS output end Proof for theBenchmark % 18.57/3.37 % 18.57/3.37 2703ms %------------------------------------------------------------------------------