%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : ALG085+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 : n018.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 10.59s 2.21s % Output : Proof 19.65s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG085+1 : TPTP v8.1.2. Released v2.7.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.16/0.34 % Computer : n018.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon Aug 28 06:07:01 EDT 2023 % 0.16/0.34 % CPUTime : % 0.19/0.60 ________ _____ % 0.19/0.60 ___ __ \_________(_)________________________________ % 0.19/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.19/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.19/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.19/0.60 % 0.19/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.19/0.60 (2023-06-19) % 0.19/0.60 % 0.19/0.60 (c) Philipp Rümmer, 2009-2023 % 0.19/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.19/0.60 Amanda Stjerna. % 0.19/0.60 Free software under BSD-3-Clause. % 0.19/0.60 % 0.19/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/0.60 % 0.19/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.19/0.62 Running up to 7 provers in parallel. % 0.19/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.19/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.19/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.19/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.19/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.19/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 0.19/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 3.43/1.21 Prover 4: Preprocessing ... % 3.43/1.21 Prover 1: Preprocessing ... % 3.43/1.25 Prover 5: Preprocessing ... % 3.43/1.25 Prover 0: Preprocessing ... % 3.43/1.25 Prover 6: Preprocessing ... % 3.43/1.25 Prover 3: Preprocessing ... % 3.43/1.25 Prover 2: Preprocessing ... % 6.48/1.71 Prover 2: Constructing countermodel ... % 6.48/1.71 Prover 6: Constructing countermodel ... % 6.48/1.71 Prover 3: Constructing countermodel ... % 7.18/1.72 Prover 1: Constructing countermodel ... % 7.18/1.72 Prover 0: Constructing countermodel ... % 7.18/1.73 Prover 4: Constructing countermodel ... % 9.33/2.01 Prover 5: Constructing countermodel ... % 10.59/2.20 Prover 3: proved (1574ms) % 10.59/2.20 % 10.59/2.21 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 10.59/2.21 % 10.59/2.21 Prover 0: proved (1578ms) % 10.59/2.21 % 10.59/2.21 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 10.59/2.21 % 10.59/2.21 Prover 6: stopped % 10.59/2.21 Prover 2: stopped % 10.59/2.21 Prover 5: stopped % 10.59/2.22 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 10.59/2.22 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 10.59/2.22 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 10.59/2.22 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 10.59/2.22 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 11.54/2.34 Prover 8: Preprocessing ... % 11.90/2.37 Prover 10: Preprocessing ... % 11.90/2.38 Prover 11: Preprocessing ... % 11.90/2.39 Prover 7: Preprocessing ... % 11.90/2.41 Prover 13: Preprocessing ... % 12.28/2.44 Prover 8: Constructing countermodel ... % 12.53/2.48 Prover 7: Constructing countermodel ... % 12.53/2.49 Prover 10: Constructing countermodel ... % 12.53/2.52 Prover 11: Constructing countermodel ... % 13.10/2.56 Prover 13: Constructing countermodel ... % 17.42/3.16 Prover 4: Found proof (size 463) % 17.88/3.16 Prover 4: proved (2538ms) % 17.88/3.16 Prover 11: stopped % 17.88/3.16 Prover 13: stopped % 17.88/3.16 Prover 7: stopped % 17.88/3.17 Prover 10: stopped % 17.88/3.17 Prover 8: stopped % 17.88/3.18 Prover 1: Found proof (size 463) % 17.88/3.18 Prover 1: proved (2555ms) % 17.88/3.18 % 17.88/3.18 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 17.88/3.18 % 18.60/3.36 % SZS output start Proof for theBenchmark % 18.60/3.36 Assumptions after simplification: % 18.60/3.36 --------------------------------- % 18.60/3.36 % 18.60/3.36 (ax1) % 18.60/3.37 ~ (e14 = e13) & ~ (e14 = e12) & ~ (e14 = e10) & ~ (e14 = e11) & ~ (e13 = % 18.60/3.37 e12) & ~ (e13 = e10) & ~ (e13 = e11) & ~ (e12 = e10) & ~ (e12 = e11) & % 18.60/3.37 ~ (e10 = e11) & $i(e14) & $i(e13) & $i(e12) & $i(e10) & $i(e11) % 18.60/3.37 % 18.60/3.37 (ax2) % 18.60/3.37 ~ (e24 = e23) & ~ (e24 = e22) & ~ (e24 = e20) & ~ (e24 = e21) & ~ (e23 = % 18.60/3.37 e22) & ~ (e23 = e20) & ~ (e23 = e21) & ~ (e22 = e20) & ~ (e22 = e21) & % 18.60/3.37 ~ (e20 = e21) & $i(e24) & $i(e23) & $i(e22) & $i(e20) & $i(e21) % 18.60/3.37 % 18.60/3.37 (ax4) % 18.60/3.40 op1(e14, e14) = e12 & op1(e14, e13) = e10 & op1(e14, e12) = e11 & op1(e14, % 18.60/3.40 e10) = e14 & op1(e14, e11) = e13 & op1(e13, e14) = e10 & op1(e13, e13) = e11 % 18.60/3.40 & op1(e13, e12) = e14 & op1(e13, e10) = e13 & op1(e13, e11) = e12 & op1(e12, % 18.60/3.40 e14) = e11 & op1(e12, e13) = e14 & op1(e12, e12) = e13 & op1(e12, e10) = e12 % 18.60/3.40 & op1(e12, e11) = e10 & op1(e10, e14) = e14 & op1(e10, e13) = e13 & op1(e10, % 18.60/3.40 e12) = e12 & op1(e10, e10) = e10 & op1(e10, e11) = e11 & op1(e11, e14) = e13 % 18.60/3.40 & op1(e11, e13) = e12 & op1(e11, e12) = e10 & op1(e11, e10) = e11 & op1(e11, % 18.60/3.40 e11) = e14 & $i(e14) & $i(e13) & $i(e12) & $i(e10) & $i(e11) % 18.60/3.40 % 18.60/3.40 (ax5) % 18.91/3.41 op2(e24, e24) = e20 & op2(e24, e23) = e22 & op2(e24, e22) = e21 & op2(e24, % 18.91/3.41 e20) = e24 & op2(e24, e21) = e23 & op2(e23, e24) = e22 & op2(e23, e23) = e21 % 18.91/3.41 & op2(e23, e22) = e20 & op2(e23, e20) = e23 & op2(e23, e21) = e24 & op2(e22, % 18.91/3.41 e24) = e21 & op2(e22, e23) = e24 & op2(e22, e22) = e23 & op2(e22, e20) = e22 % 18.91/3.41 & op2(e22, e21) = e20 & op2(e20, e24) = e24 & op2(e20, e23) = e23 & op2(e20, % 18.91/3.41 e22) = e22 & op2(e20, e20) = e20 & op2(e20, e21) = e21 & op2(e21, e24) = e23 % 18.91/3.41 & op2(e21, e23) = e20 & op2(e21, e22) = e24 & op2(e21, e20) = e21 & op2(e21, % 18.91/3.41 e21) = e22 & $i(e24) & $i(e23) & $i(e22) & $i(e20) & $i(e21) % 18.91/3.41 % 18.91/3.41 (co1) % 18.91/3.44 $i(e24) & $i(e23) & $i(e22) & $i(e20) & $i(e21) & $i(e14) & $i(e13) & $i(e12) % 18.91/3.44 & $i(e10) & $i(e11) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : % 18.91/3.44 ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: % 18.91/3.44 $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: % 18.91/3.44 $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: % 18.91/3.44 $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? [v24: % 18.91/3.44 $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28: $i] : ? [v29: % 18.91/3.44 $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ? [v33: $i] : ? [v34: % 18.91/3.44 $i] : ? [v35: $i] : ? [v36: $i] : ? [v37: $i] : ? [v38: $i] : ? [v39: % 18.91/3.44 $i] : ? [v40: $i] : ? [v41: $i] : ? [v42: $i] : ? [v43: $i] : ? [v44: % 18.91/3.44 $i] : ? [v45: $i] : ? [v46: $i] : ? [v47: $i] : ? [v48: $i] : ? [v49: % 18.91/3.44 $i] : ? [v50: $i] : ? [v51: $i] : ? [v52: $i] : ? [v53: $i] : ? [v54: % 18.91/3.44 $i] : ? [v55: $i] : ? [v56: $i] : ? [v57: $i] : ? [v58: $i] : ? [v59: % 18.91/3.44 $i] : ? [v60: $i] : ? [v61: $i] : ? [v62: $i] : ? [v63: $i] : ? [v64: % 18.91/3.44 $i] : ? [v65: $i] : ? [v66: $i] : ? [v67: $i] : ? [v68: $i] : ? [v69: % 18.91/3.44 $i] : ? [v70: $i] : ? [v71: $i] : ? [v72: $i] : ? [v73: $i] : ? [v74: % 18.91/3.44 $i] : ? [v75: $i] : ? [v76: $i] : ? [v77: $i] : ? [v78: $i] : ? [v79: % 18.91/3.44 $i] : ? [v80: $i] : ? [v81: $i] : ? [v82: $i] : ? [v83: $i] : ? [v84: % 18.91/3.44 $i] : ? [v85: $i] : ? [v86: $i] : ? [v87: $i] : ? [v88: $i] : ? [v89: % 18.91/3.44 $i] : ? [v90: $i] : ? [v91: $i] : ? [v92: $i] : ? [v93: $i] : ? [v94: % 18.91/3.44 $i] : ? [v95: $i] : ? [v96: $i] : ? [v97: $i] : ? [v98: $i] : ? [v99: % 18.91/3.44 $i] : ? [v100: $i] : ? [v101: $i] : ? [v102: $i] : ? [v103: $i] : ? % 18.91/3.44 [v104: $i] : ? [v105: $i] : ? [v106: $i] : ? [v107: $i] : ? [v108: $i] : % 18.91/3.44 ? [v109: $i] : (h(v58) = v59 & h(v56) = v57 & h(v54) = v55 & h(v52) = v53 & % 18.91/3.44 h(v50) = v51 & h(v48) = v49 & h(v46) = v47 & h(v44) = v45 & h(v42) = v43 & % 18.91/3.44 h(v40) = v41 & h(v38) = v39 & h(v36) = v37 & h(v34) = v35 & h(v32) = v33 & % 18.91/3.44 h(v30) = v31 & h(v28) = v29 & h(v26) = v27 & h(v24) = v25 & h(v22) = v23 & % 18.91/3.44 h(v20) = v21 & h(v18) = v19 & h(v16) = v17 & h(v14) = v15 & h(v12) = v13 & % 18.91/3.44 h(v10) = v11 & h(v9) = e24 & h(v8) = e23 & h(v7) = e22 & h(v6) = e21 & h(v5) % 18.91/3.44 = e20 & h(e14) = v4 & h(e13) = v3 & h(e12) = v2 & h(e10) = v0 & h(e11) = v1 % 18.91/3.44 & j(v108) = v109 & j(v106) = v107 & j(v104) = v105 & j(v102) = v103 & % 18.91/3.44 j(v100) = v101 & j(v98) = v99 & j(v96) = v97 & j(v94) = v95 & j(v92) = v93 & % 18.91/3.44 j(v90) = v91 & j(v88) = v89 & j(v86) = v87 & j(v84) = v85 & j(v82) = v83 & % 18.91/3.44 j(v80) = v81 & j(v78) = v79 & j(v76) = v77 & j(v74) = v75 & j(v72) = v73 & % 18.91/3.44 j(v70) = v71 & j(v68) = v69 & j(v66) = v67 & j(v64) = v65 & j(v62) = v63 & % 18.91/3.44 j(v60) = v61 & j(v4) = e14 & j(v3) = e13 & j(v2) = e12 & j(v1) = e11 & j(v0) % 18.91/3.44 = e10 & j(e24) = v9 & j(e23) = v8 & j(e22) = v7 & j(e20) = v5 & j(e21) = v6 % 18.91/3.44 & op2(v4, v4) = v59 & op2(v4, v3) = v57 & op2(v4, v2) = v55 & op2(v4, v1) = % 18.91/3.44 v53 & op2(v4, v0) = v51 & op2(v3, v4) = v49 & op2(v3, v3) = v47 & op2(v3, % 18.91/3.44 v2) = v45 & op2(v3, v1) = v43 & op2(v3, v0) = v41 & op2(v2, v4) = v39 & % 18.91/3.44 op2(v2, v3) = v37 & op2(v2, v2) = v35 & op2(v2, v1) = v33 & op2(v2, v0) = % 18.91/3.44 v31 & op2(v1, v4) = v29 & op2(v1, v3) = v27 & op2(v1, v2) = v25 & op2(v1, % 18.91/3.44 v1) = v23 & op2(v1, v0) = v21 & op2(v0, v4) = v19 & op2(v0, v3) = v17 & % 18.91/3.44 op2(v0, v2) = v15 & op2(v0, v1) = v13 & op2(v0, v0) = v11 & op2(e24, e24) = % 18.91/3.44 v108 & op2(e24, e23) = v106 & op2(e24, e22) = v104 & op2(e24, e20) = v100 & % 18.91/3.44 op2(e24, e21) = v102 & op2(e23, e24) = v98 & op2(e23, e23) = v96 & op2(e23, % 18.91/3.44 e22) = v94 & op2(e23, e20) = v90 & op2(e23, e21) = v92 & op2(e22, e24) = % 18.91/3.44 v88 & op2(e22, e23) = v86 & op2(e22, e22) = v84 & op2(e22, e20) = v80 & % 18.91/3.44 op2(e22, e21) = v82 & op2(e20, e24) = v68 & op2(e20, e23) = v66 & op2(e20, % 18.91/3.44 e22) = v64 & op2(e20, e20) = v60 & op2(e20, e21) = v62 & op2(e21, e24) = % 18.91/3.44 v78 & op2(e21, e23) = v76 & op2(e21, e22) = v74 & op2(e21, e20) = v70 & % 18.91/3.44 op2(e21, e21) = v72 & op1(v9, v9) = v109 & op1(v9, v8) = v107 & op1(v9, v7) % 18.91/3.44 = v105 & op1(v9, v6) = v103 & op1(v9, v5) = v101 & op1(v8, v9) = v99 & % 18.91/3.44 op1(v8, v8) = v97 & op1(v8, v7) = v95 & op1(v8, v6) = v93 & op1(v8, v5) = % 18.91/3.44 v91 & op1(v7, v9) = v89 & op1(v7, v8) = v87 & op1(v7, v7) = v85 & op1(v7, % 18.91/3.44 v6) = v83 & op1(v7, v5) = v81 & op1(v6, v9) = v79 & op1(v6, v8) = v77 & % 18.91/3.44 op1(v6, v7) = v75 & op1(v6, v6) = v73 & op1(v6, v5) = v71 & op1(v5, v9) = % 18.91/3.44 v69 & op1(v5, v8) = v67 & op1(v5, v7) = v65 & op1(v5, v6) = v63 & op1(v5, % 18.91/3.44 v5) = v61 & op1(e14, e14) = v58 & op1(e14, e13) = v56 & op1(e14, e12) = % 18.91/3.44 v54 & op1(e14, e10) = v50 & op1(e14, e11) = v52 & op1(e13, e14) = v48 & % 18.91/3.44 op1(e13, e13) = v46 & op1(e13, e12) = v44 & op1(e13, e10) = v40 & op1(e13, % 18.91/3.44 e11) = v42 & op1(e12, e14) = v38 & op1(e12, e13) = v36 & op1(e12, e12) = % 18.91/3.44 v34 & op1(e12, e10) = v30 & op1(e12, e11) = v32 & op1(e10, e14) = v18 & % 18.91/3.44 op1(e10, e13) = v16 & op1(e10, e12) = v14 & op1(e10, e10) = v10 & op1(e10, % 18.91/3.44 e11) = v12 & op1(e11, e14) = v28 & op1(e11, e13) = v26 & op1(e11, e12) = % 18.91/3.44 v24 & op1(e11, e10) = v20 & op1(e11, e11) = v22 & $i(v109) & $i(v108) & % 18.91/3.44 $i(v107) & $i(v106) & $i(v105) & $i(v104) & $i(v103) & $i(v102) & $i(v101) & % 18.91/3.44 $i(v100) & $i(v99) & $i(v98) & $i(v97) & $i(v96) & $i(v95) & $i(v94) & % 18.91/3.44 $i(v93) & $i(v92) & $i(v91) & $i(v90) & $i(v89) & $i(v88) & $i(v87) & % 18.91/3.44 $i(v86) & $i(v85) & $i(v84) & $i(v83) & $i(v82) & $i(v81) & $i(v80) & % 18.91/3.44 $i(v79) & $i(v78) & $i(v77) & $i(v76) & $i(v75) & $i(v74) & $i(v73) & % 18.91/3.44 $i(v72) & $i(v71) & $i(v70) & $i(v69) & $i(v68) & $i(v67) & $i(v66) & % 18.91/3.44 $i(v65) & $i(v64) & $i(v63) & $i(v62) & $i(v61) & $i(v60) & $i(v59) & % 18.91/3.44 $i(v58) & $i(v57) & $i(v56) & $i(v55) & $i(v54) & $i(v53) & $i(v52) & % 18.91/3.44 $i(v51) & $i(v50) & $i(v49) & $i(v48) & $i(v47) & $i(v46) & $i(v45) & % 18.91/3.44 $i(v44) & $i(v43) & $i(v42) & $i(v41) & $i(v40) & $i(v39) & $i(v38) & % 18.91/3.44 $i(v37) & $i(v36) & $i(v35) & $i(v34) & $i(v33) & $i(v32) & $i(v31) & % 18.91/3.44 $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24) & % 18.91/3.44 $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & % 18.91/3.44 $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) % 18.91/3.44 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 18.91/3.44 $i(v0) & (v9 = e14 | v9 = e13 | v9 = e12 | v9 = e10 | v9 = e11) & (v8 = e14 % 18.91/3.44 | v8 = e13 | v8 = e12 | v8 = e10 | v8 = e11) & (v7 = e14 | v7 = e13 | v7 = % 18.91/3.44 e12 | v7 = e10 | v7 = e11) & (v6 = e14 | v6 = e13 | v6 = e12 | v6 = e10 | % 18.91/3.44 v6 = e11) & (v5 = e14 | v5 = e13 | v5 = e12 | v5 = e10 | v5 = e11) & (v4 = % 18.91/3.44 e24 | v4 = e23 | v4 = e22 | v4 = e20 | v4 = e21) & (v3 = e24 | v3 = e23 | % 18.91/3.44 v3 = e22 | v3 = e20 | v3 = e21) & (v2 = e24 | v2 = e23 | v2 = e22 | v2 = % 18.91/3.44 e20 | v2 = e21) & (v1 = e24 | v1 = e23 | v1 = e22 | v1 = e20 | v1 = e21) & % 18.91/3.44 (v0 = e24 | v0 = e23 | v0 = e22 | v0 = e20 | v0 = e21)) % 18.91/3.44 % 18.91/3.44 (function-axioms) % 18.91/3.44 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op2(v3, % 18.91/3.44 v2) = v1) | ~ (op2(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 18.91/3.44 $i] : ! [v3: $i] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) = % 18.91/3.44 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h(v2) = % 18.91/3.44 v1) | ~ (h(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = % 18.91/3.44 v0 | ~ (j(v2) = v1) | ~ (j(v2) = v0)) % 18.91/3.44 % 18.91/3.44 Further assumptions not needed in the proof: % 18.91/3.44 -------------------------------------------- % 18.91/3.44 ax3 % 18.91/3.44 % 18.91/3.44 Those formulas are unsatisfiable: % 18.91/3.44 --------------------------------- % 18.91/3.44 % 18.91/3.44 Begin of proof % 18.91/3.45 | % 18.91/3.45 | ALPHA: (ax1) implies: % 18.91/3.45 | (1) ~ (e10 = e11) % 18.91/3.45 | (2) ~ (e14 = e12) % 18.91/3.45 | % 18.91/3.45 | ALPHA: (ax2) implies: % 18.91/3.45 | (3) ~ (e23 = e21) % 18.91/3.45 | (4) ~ (e24 = e20) % 18.91/3.45 | % 18.91/3.45 | ALPHA: (ax4) implies: % 18.91/3.45 | (5) op1(e11, e11) = e14 % 18.91/3.45 | (6) op1(e11, e10) = e11 % 18.91/3.45 | (7) op1(e11, e12) = e10 % 18.91/3.45 | (8) op1(e11, e13) = e12 % 18.91/3.45 | (9) op1(e11, e14) = e13 % 18.91/3.45 | (10) op1(e10, e11) = e11 % 18.91/3.45 | (11) op1(e10, e10) = e10 % 18.91/3.45 | (12) op1(e10, e12) = e12 % 18.91/3.45 | (13) op1(e10, e13) = e13 % 18.91/3.45 | (14) op1(e10, e14) = e14 % 18.91/3.45 | (15) op1(e12, e11) = e10 % 18.91/3.45 | (16) op1(e12, e10) = e12 % 18.91/3.45 | (17) op1(e12, e12) = e13 % 18.91/3.45 | (18) op1(e12, e13) = e14 % 18.91/3.45 | (19) op1(e12, e14) = e11 % 18.91/3.45 | (20) op1(e13, e11) = e12 % 18.91/3.45 | (21) op1(e13, e10) = e13 % 18.91/3.45 | (22) op1(e13, e12) = e14 % 18.91/3.45 | (23) op1(e13, e13) = e11 % 18.91/3.45 | (24) op1(e13, e14) = e10 % 18.91/3.45 | (25) op1(e14, e11) = e13 % 18.91/3.45 | (26) op1(e14, e10) = e14 % 18.91/3.45 | (27) op1(e14, e12) = e11 % 18.91/3.45 | (28) op1(e14, e13) = e10 % 18.91/3.45 | (29) op1(e14, e14) = e12 % 18.91/3.45 | % 18.91/3.45 | ALPHA: (ax5) implies: % 18.91/3.45 | (30) op2(e21, e21) = e22 % 18.91/3.45 | (31) op2(e21, e20) = e21 % 18.91/3.45 | (32) op2(e21, e22) = e24 % 18.91/3.45 | (33) op2(e21, e23) = e20 % 18.91/3.45 | (34) op2(e21, e24) = e23 % 18.91/3.45 | (35) op2(e20, e21) = e21 % 18.91/3.45 | (36) op2(e20, e20) = e20 % 18.91/3.45 | (37) op2(e20, e22) = e22 % 18.91/3.45 | (38) op2(e20, e23) = e23 % 18.91/3.45 | (39) op2(e20, e24) = e24 % 18.91/3.45 | (40) op2(e22, e21) = e20 % 18.91/3.45 | (41) op2(e22, e20) = e22 % 18.91/3.45 | (42) op2(e22, e22) = e23 % 18.91/3.45 | (43) op2(e22, e23) = e24 % 18.91/3.45 | (44) op2(e22, e24) = e21 % 18.91/3.46 | (45) op2(e23, e21) = e24 % 18.91/3.46 | (46) op2(e23, e20) = e23 % 18.91/3.46 | (47) op2(e23, e22) = e20 % 18.91/3.46 | (48) op2(e23, e23) = e21 % 18.91/3.46 | (49) op2(e23, e24) = e22 % 18.91/3.46 | (50) op2(e24, e21) = e23 % 18.91/3.46 | (51) op2(e24, e20) = e24 % 18.91/3.46 | (52) op2(e24, e22) = e21 % 18.91/3.46 | (53) op2(e24, e23) = e22 % 18.91/3.46 | (54) op2(e24, e24) = e20 % 18.91/3.46 | % 18.91/3.46 | ALPHA: (co1) implies: % 19.20/3.47 | (55) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 19.20/3.47 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 19.20/3.47 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: % 19.20/3.47 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? % 19.20/3.47 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] % 19.20/3.47 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28: % 19.20/3.47 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ? % 19.20/3.47 | [v33: $i] : ? [v34: $i] : ? [v35: $i] : ? [v36: $i] : ? [v37: $i] % 19.20/3.47 | : ? [v38: $i] : ? [v39: $i] : ? [v40: $i] : ? [v41: $i] : ? [v42: % 19.20/3.47 | $i] : ? [v43: $i] : ? [v44: $i] : ? [v45: $i] : ? [v46: $i] : ? % 19.20/3.47 | [v47: $i] : ? [v48: $i] : ? [v49: $i] : ? [v50: $i] : ? [v51: $i] % 19.20/3.47 | : ? [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55: $i] : ? [v56: % 19.20/3.47 | $i] : ? [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60: $i] : ? % 19.20/3.47 | [v61: $i] : ? [v62: $i] : ? [v63: $i] : ? [v64: $i] : ? [v65: $i] % 19.20/3.47 | : ? [v66: $i] : ? [v67: $i] : ? [v68: $i] : ? [v69: $i] : ? [v70: % 19.20/3.47 | $i] : ? [v71: $i] : ? [v72: $i] : ? [v73: $i] : ? [v74: $i] : ? % 19.20/3.47 | [v75: $i] : ? [v76: $i] : ? [v77: $i] : ? [v78: $i] : ? [v79: $i] % 19.20/3.47 | : ? [v80: $i] : ? [v81: $i] : ? [v82: $i] : ? [v83: $i] : ? [v84: % 19.20/3.47 | $i] : ? [v85: $i] : ? [v86: $i] : ? [v87: $i] : ? [v88: $i] : ? % 19.20/3.47 | [v89: $i] : ? [v90: $i] : ? [v91: $i] : ? [v92: $i] : ? [v93: $i] % 19.20/3.47 | : ? [v94: $i] : ? [v95: $i] : ? [v96: $i] : ? [v97: $i] : ? [v98: % 19.20/3.47 | $i] : ? [v99: $i] : ? [v100: $i] : ? [v101: $i] : ? [v102: $i] : % 19.20/3.47 | ? [v103: $i] : ? [v104: $i] : ? [v105: $i] : ? [v106: $i] : ? % 19.20/3.47 | [v107: $i] : ? [v108: $i] : ? [v109: $i] : (h(v58) = v59 & h(v56) = % 19.20/3.47 | v57 & h(v54) = v55 & h(v52) = v53 & h(v50) = v51 & h(v48) = v49 & % 19.20/3.47 | h(v46) = v47 & h(v44) = v45 & h(v42) = v43 & h(v40) = v41 & h(v38) = % 19.20/3.47 | v39 & h(v36) = v37 & h(v34) = v35 & h(v32) = v33 & h(v30) = v31 & % 19.20/3.47 | h(v28) = v29 & h(v26) = v27 & h(v24) = v25 & h(v22) = v23 & h(v20) = % 19.20/3.47 | v21 & h(v18) = v19 & h(v16) = v17 & h(v14) = v15 & h(v12) = v13 & % 19.20/3.47 | h(v10) = v11 & h(v9) = e24 & h(v8) = e23 & h(v7) = e22 & h(v6) = e21 % 19.20/3.47 | & h(v5) = e20 & h(e14) = v4 & h(e13) = v3 & h(e12) = v2 & h(e10) = % 19.20/3.47 | v0 & h(e11) = v1 & j(v108) = v109 & j(v106) = v107 & j(v104) = v105 % 19.20/3.47 | & j(v102) = v103 & j(v100) = v101 & j(v98) = v99 & j(v96) = v97 & % 19.20/3.47 | j(v94) = v95 & j(v92) = v93 & j(v90) = v91 & j(v88) = v89 & j(v86) = % 19.20/3.47 | v87 & j(v84) = v85 & j(v82) = v83 & j(v80) = v81 & j(v78) = v79 & % 19.20/3.47 | j(v76) = v77 & j(v74) = v75 & j(v72) = v73 & j(v70) = v71 & j(v68) = % 19.20/3.47 | v69 & j(v66) = v67 & j(v64) = v65 & j(v62) = v63 & j(v60) = v61 & % 19.20/3.47 | j(v4) = e14 & j(v3) = e13 & j(v2) = e12 & j(v1) = e11 & j(v0) = e10 % 19.20/3.47 | & j(e24) = v9 & j(e23) = v8 & j(e22) = v7 & j(e20) = v5 & j(e21) = % 19.20/3.47 | v6 & op2(v4, v4) = v59 & op2(v4, v3) = v57 & op2(v4, v2) = v55 & % 19.20/3.47 | op2(v4, v1) = v53 & op2(v4, v0) = v51 & op2(v3, v4) = v49 & op2(v3, % 19.20/3.47 | v3) = v47 & op2(v3, v2) = v45 & op2(v3, v1) = v43 & op2(v3, v0) = % 19.20/3.47 | v41 & op2(v2, v4) = v39 & op2(v2, v3) = v37 & op2(v2, v2) = v35 & % 19.20/3.47 | op2(v2, v1) = v33 & op2(v2, v0) = v31 & op2(v1, v4) = v29 & op2(v1, % 19.20/3.47 | v3) = v27 & op2(v1, v2) = v25 & op2(v1, v1) = v23 & op2(v1, v0) = % 19.20/3.47 | v21 & op2(v0, v4) = v19 & op2(v0, v3) = v17 & op2(v0, v2) = v15 & % 19.20/3.47 | op2(v0, v1) = v13 & op2(v0, v0) = v11 & op2(e24, e24) = v108 & % 19.20/3.47 | op2(e24, e23) = v106 & op2(e24, e22) = v104 & op2(e24, e20) = v100 & % 19.20/3.47 | op2(e24, e21) = v102 & op2(e23, e24) = v98 & op2(e23, e23) = v96 & % 19.20/3.47 | op2(e23, e22) = v94 & op2(e23, e20) = v90 & op2(e23, e21) = v92 & % 19.20/3.47 | op2(e22, e24) = v88 & op2(e22, e23) = v86 & op2(e22, e22) = v84 & % 19.20/3.47 | op2(e22, e20) = v80 & op2(e22, e21) = v82 & op2(e20, e24) = v68 & % 19.20/3.47 | op2(e20, e23) = v66 & op2(e20, e22) = v64 & op2(e20, e20) = v60 & % 19.20/3.47 | op2(e20, e21) = v62 & op2(e21, e24) = v78 & op2(e21, e23) = v76 & % 19.20/3.47 | op2(e21, e22) = v74 & op2(e21, e20) = v70 & op2(e21, e21) = v72 & % 19.20/3.47 | op1(v9, v9) = v109 & op1(v9, v8) = v107 & op1(v9, v7) = v105 & % 19.20/3.47 | op1(v9, v6) = v103 & op1(v9, v5) = v101 & op1(v8, v9) = v99 & % 19.20/3.47 | op1(v8, v8) = v97 & op1(v8, v7) = v95 & op1(v8, v6) = v93 & op1(v8, % 19.20/3.47 | v5) = v91 & op1(v7, v9) = v89 & op1(v7, v8) = v87 & op1(v7, v7) = % 19.20/3.47 | v85 & op1(v7, v6) = v83 & op1(v7, v5) = v81 & op1(v6, v9) = v79 & % 19.20/3.47 | op1(v6, v8) = v77 & op1(v6, v7) = v75 & op1(v6, v6) = v73 & op1(v6, % 19.20/3.47 | v5) = v71 & op1(v5, v9) = v69 & op1(v5, v8) = v67 & op1(v5, v7) = % 19.20/3.47 | v65 & op1(v5, v6) = v63 & op1(v5, v5) = v61 & op1(e14, e14) = v58 & % 19.20/3.47 | op1(e14, e13) = v56 & op1(e14, e12) = v54 & op1(e14, e10) = v50 & % 19.20/3.47 | op1(e14, e11) = v52 & op1(e13, e14) = v48 & op1(e13, e13) = v46 & % 19.20/3.47 | op1(e13, e12) = v44 & op1(e13, e10) = v40 & op1(e13, e11) = v42 & % 19.20/3.47 | op1(e12, e14) = v38 & op1(e12, e13) = v36 & op1(e12, e12) = v34 & % 19.20/3.47 | op1(e12, e10) = v30 & op1(e12, e11) = v32 & op1(e10, e14) = v18 & % 19.20/3.47 | op1(e10, e13) = v16 & op1(e10, e12) = v14 & op1(e10, e10) = v10 & % 19.20/3.47 | op1(e10, e11) = v12 & op1(e11, e14) = v28 & op1(e11, e13) = v26 & % 19.20/3.47 | op1(e11, e12) = v24 & op1(e11, e10) = v20 & op1(e11, e11) = v22 & % 19.20/3.47 | $i(v109) & $i(v108) & $i(v107) & $i(v106) & $i(v105) & $i(v104) & % 19.20/3.47 | $i(v103) & $i(v102) & $i(v101) & $i(v100) & $i(v99) & $i(v98) & % 19.20/3.47 | $i(v97) & $i(v96) & $i(v95) & $i(v94) & $i(v93) & $i(v92) & $i(v91) % 19.20/3.47 | & $i(v90) & $i(v89) & $i(v88) & $i(v87) & $i(v86) & $i(v85) & % 19.20/3.47 | $i(v84) & $i(v83) & $i(v82) & $i(v81) & $i(v80) & $i(v79) & $i(v78) % 19.20/3.47 | & $i(v77) & $i(v76) & $i(v75) & $i(v74) & $i(v73) & $i(v72) & % 19.20/3.47 | $i(v71) & $i(v70) & $i(v69) & $i(v68) & $i(v67) & $i(v66) & $i(v65) % 19.20/3.47 | & $i(v64) & $i(v63) & $i(v62) & $i(v61) & $i(v60) & $i(v59) & % 19.20/3.47 | $i(v58) & $i(v57) & $i(v56) & $i(v55) & $i(v54) & $i(v53) & $i(v52) % 19.20/3.47 | & $i(v51) & $i(v50) & $i(v49) & $i(v48) & $i(v47) & $i(v46) & % 19.20/3.47 | $i(v45) & $i(v44) & $i(v43) & $i(v42) & $i(v41) & $i(v40) & $i(v39) % 19.20/3.47 | & $i(v38) & $i(v37) & $i(v36) & $i(v35) & $i(v34) & $i(v33) & % 19.20/3.47 | $i(v32) & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) % 19.20/3.47 | & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & % 19.20/3.47 | $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) % 19.20/3.47 | & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & % 19.20/3.47 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v9 = e14 | v9 % 19.20/3.47 | = e13 | v9 = e12 | v9 = e10 | v9 = e11) & (v8 = e14 | v8 = e13 | % 19.20/3.48 | v8 = e12 | v8 = e10 | v8 = e11) & (v7 = e14 | v7 = e13 | v7 = e12 % 19.20/3.48 | | v7 = e10 | v7 = e11) & (v6 = e14 | v6 = e13 | v6 = e12 | v6 = % 19.20/3.48 | e10 | v6 = e11) & (v5 = e14 | v5 = e13 | v5 = e12 | v5 = e10 | v5 % 19.20/3.48 | = e11) & (v4 = e24 | v4 = e23 | v4 = e22 | v4 = e20 | v4 = e21) & % 19.20/3.48 | (v3 = e24 | v3 = e23 | v3 = e22 | v3 = e20 | v3 = e21) & (v2 = e24 | % 19.20/3.48 | v2 = e23 | v2 = e22 | v2 = e20 | v2 = e21) & (v1 = e24 | v1 = e23 % 19.20/3.48 | | v1 = e22 | v1 = e20 | v1 = e21) & (v0 = e24 | v0 = e23 | v0 = % 19.20/3.48 | e22 | v0 = e20 | v0 = e21)) % 19.20/3.48 | % 19.20/3.48 | ALPHA: (function-axioms) implies: % 19.20/3.48 | (56) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (j(v2) = v1) | % 19.20/3.48 | ~ (j(v2) = v0)) % 19.20/3.48 | (57) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h(v2) = v1) | % 19.20/3.48 | ~ (h(v2) = v0)) % 19.20/3.48 | (58) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 19.20/3.48 | (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0)) % 19.20/3.48 | (59) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 19.20/3.48 | (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0)) % 19.20/3.48 | % 19.20/3.48 | DELTA: instantiating (55) with fresh symbols all_4_0, all_4_1, all_4_2, % 19.20/3.48 | all_4_3, all_4_4, all_4_5, all_4_6, all_4_7, all_4_8, all_4_9, % 19.20/3.48 | all_4_10, all_4_11, all_4_12, all_4_13, all_4_14, all_4_15, all_4_16, % 19.20/3.48 | all_4_17, all_4_18, all_4_19, all_4_20, all_4_21, all_4_22, all_4_23, % 19.20/3.48 | all_4_24, all_4_25, all_4_26, all_4_27, all_4_28, all_4_29, all_4_30, % 19.20/3.48 | all_4_31, all_4_32, all_4_33, all_4_34, all_4_35, all_4_36, all_4_37, % 19.20/3.48 | all_4_38, all_4_39, all_4_40, all_4_41, all_4_42, all_4_43, all_4_44, % 19.20/3.48 | all_4_45, all_4_46, all_4_47, all_4_48, all_4_49, all_4_50, all_4_51, % 19.20/3.48 | all_4_52, all_4_53, all_4_54, all_4_55, all_4_56, all_4_57, all_4_58, % 19.20/3.48 | all_4_59, all_4_60, all_4_61, all_4_62, all_4_63, all_4_64, all_4_65, % 19.20/3.48 | all_4_66, all_4_67, all_4_68, all_4_69, all_4_70, all_4_71, all_4_72, % 19.20/3.48 | all_4_73, all_4_74, all_4_75, all_4_76, all_4_77, all_4_78, all_4_79, % 19.20/3.48 | all_4_80, all_4_81, all_4_82, all_4_83, all_4_84, all_4_85, all_4_86, % 19.20/3.48 | all_4_87, all_4_88, all_4_89, all_4_90, all_4_91, all_4_92, all_4_93, % 19.20/3.48 | all_4_94, all_4_95, all_4_96, all_4_97, all_4_98, all_4_99, all_4_100, % 19.20/3.48 | all_4_101, all_4_102, all_4_103, all_4_104, all_4_105, all_4_106, % 19.20/3.48 | all_4_107, all_4_108, all_4_109 gives: % 19.20/3.49 | (60) h(all_4_51) = all_4_50 & h(all_4_53) = all_4_52 & h(all_4_55) = % 19.20/3.49 | all_4_54 & h(all_4_57) = all_4_56 & h(all_4_59) = all_4_58 & % 19.20/3.49 | h(all_4_61) = all_4_60 & h(all_4_63) = all_4_62 & h(all_4_65) = % 19.20/3.49 | all_4_64 & h(all_4_67) = all_4_66 & h(all_4_69) = all_4_68 & % 19.20/3.49 | h(all_4_71) = all_4_70 & h(all_4_73) = all_4_72 & h(all_4_75) = % 19.20/3.49 | all_4_74 & h(all_4_77) = all_4_76 & h(all_4_79) = all_4_78 & % 19.20/3.49 | h(all_4_81) = all_4_80 & h(all_4_83) = all_4_82 & h(all_4_85) = % 19.20/3.49 | all_4_84 & h(all_4_87) = all_4_86 & h(all_4_89) = all_4_88 & % 19.20/3.49 | h(all_4_91) = all_4_90 & h(all_4_93) = all_4_92 & h(all_4_95) = % 19.20/3.49 | all_4_94 & h(all_4_97) = all_4_96 & h(all_4_99) = all_4_98 & % 19.20/3.49 | h(all_4_100) = e24 & h(all_4_101) = e23 & h(all_4_102) = e22 & % 19.20/3.49 | h(all_4_103) = e21 & h(all_4_104) = e20 & h(e14) = all_4_105 & h(e13) % 19.20/3.49 | = all_4_106 & h(e12) = all_4_107 & h(e10) = all_4_109 & h(e11) = % 19.20/3.49 | all_4_108 & j(all_4_1) = all_4_0 & j(all_4_3) = all_4_2 & j(all_4_5) = % 19.20/3.49 | all_4_4 & j(all_4_7) = all_4_6 & j(all_4_9) = all_4_8 & j(all_4_11) = % 19.20/3.49 | all_4_10 & j(all_4_13) = all_4_12 & j(all_4_15) = all_4_14 & % 19.20/3.49 | j(all_4_17) = all_4_16 & j(all_4_19) = all_4_18 & j(all_4_21) = % 19.20/3.49 | all_4_20 & j(all_4_23) = all_4_22 & j(all_4_25) = all_4_24 & % 19.20/3.49 | j(all_4_27) = all_4_26 & j(all_4_29) = all_4_28 & j(all_4_31) = % 19.20/3.49 | all_4_30 & j(all_4_33) = all_4_32 & j(all_4_35) = all_4_34 & % 19.20/3.49 | j(all_4_37) = all_4_36 & j(all_4_39) = all_4_38 & j(all_4_41) = % 19.20/3.49 | all_4_40 & j(all_4_43) = all_4_42 & j(all_4_45) = all_4_44 & % 19.20/3.49 | j(all_4_47) = all_4_46 & j(all_4_49) = all_4_48 & j(all_4_105) = e14 & % 19.20/3.49 | j(all_4_106) = e13 & j(all_4_107) = e12 & j(all_4_108) = e11 & % 19.20/3.49 | j(all_4_109) = e10 & j(e24) = all_4_100 & j(e23) = all_4_101 & j(e22) % 19.20/3.49 | = all_4_102 & j(e20) = all_4_104 & j(e21) = all_4_103 & op2(all_4_105, % 19.20/3.49 | all_4_105) = all_4_50 & op2(all_4_105, all_4_106) = all_4_52 & % 19.20/3.49 | op2(all_4_105, all_4_107) = all_4_54 & op2(all_4_105, all_4_108) = % 19.20/3.49 | all_4_56 & op2(all_4_105, all_4_109) = all_4_58 & op2(all_4_106, % 19.20/3.49 | all_4_105) = all_4_60 & op2(all_4_106, all_4_106) = all_4_62 & % 19.20/3.49 | op2(all_4_106, all_4_107) = all_4_64 & op2(all_4_106, all_4_108) = % 19.20/3.49 | all_4_66 & op2(all_4_106, all_4_109) = all_4_68 & op2(all_4_107, % 19.20/3.49 | all_4_105) = all_4_70 & op2(all_4_107, all_4_106) = all_4_72 & % 19.20/3.49 | op2(all_4_107, all_4_107) = all_4_74 & op2(all_4_107, all_4_108) = % 19.20/3.49 | all_4_76 & op2(all_4_107, all_4_109) = all_4_78 & op2(all_4_108, % 19.20/3.49 | all_4_105) = all_4_80 & op2(all_4_108, all_4_106) = all_4_82 & % 19.20/3.49 | op2(all_4_108, all_4_107) = all_4_84 & op2(all_4_108, all_4_108) = % 19.20/3.49 | all_4_86 & op2(all_4_108, all_4_109) = all_4_88 & op2(all_4_109, % 19.20/3.49 | all_4_105) = all_4_90 & op2(all_4_109, all_4_106) = all_4_92 & % 19.20/3.49 | op2(all_4_109, all_4_107) = all_4_94 & op2(all_4_109, all_4_108) = % 19.20/3.49 | all_4_96 & op2(all_4_109, all_4_109) = all_4_98 & op2(e24, e24) = % 19.20/3.49 | all_4_1 & op2(e24, e23) = all_4_3 & op2(e24, e22) = all_4_5 & op2(e24, % 19.20/3.49 | e20) = all_4_9 & op2(e24, e21) = all_4_7 & op2(e23, e24) = all_4_11 % 19.20/3.49 | & op2(e23, e23) = all_4_13 & op2(e23, e22) = all_4_15 & op2(e23, e20) % 19.20/3.49 | = all_4_19 & op2(e23, e21) = all_4_17 & op2(e22, e24) = all_4_21 & % 19.20/3.49 | op2(e22, e23) = all_4_23 & op2(e22, e22) = all_4_25 & op2(e22, e20) = % 19.20/3.49 | all_4_29 & op2(e22, e21) = all_4_27 & op2(e20, e24) = all_4_41 & % 19.20/3.49 | op2(e20, e23) = all_4_43 & op2(e20, e22) = all_4_45 & op2(e20, e20) = % 19.20/3.49 | all_4_49 & op2(e20, e21) = all_4_47 & op2(e21, e24) = all_4_31 & % 19.20/3.49 | op2(e21, e23) = all_4_33 & op2(e21, e22) = all_4_35 & op2(e21, e20) = % 19.20/3.49 | all_4_39 & op2(e21, e21) = all_4_37 & op1(all_4_100, all_4_100) = % 19.20/3.49 | all_4_0 & op1(all_4_100, all_4_101) = all_4_2 & op1(all_4_100, % 19.20/3.49 | all_4_102) = all_4_4 & op1(all_4_100, all_4_103) = all_4_6 & % 19.20/3.49 | op1(all_4_100, all_4_104) = all_4_8 & op1(all_4_101, all_4_100) = % 19.20/3.49 | all_4_10 & op1(all_4_101, all_4_101) = all_4_12 & op1(all_4_101, % 19.20/3.49 | all_4_102) = all_4_14 & op1(all_4_101, all_4_103) = all_4_16 & % 19.20/3.49 | op1(all_4_101, all_4_104) = all_4_18 & op1(all_4_102, all_4_100) = % 19.20/3.49 | all_4_20 & op1(all_4_102, all_4_101) = all_4_22 & op1(all_4_102, % 19.20/3.49 | all_4_102) = all_4_24 & op1(all_4_102, all_4_103) = all_4_26 & % 19.20/3.49 | op1(all_4_102, all_4_104) = all_4_28 & op1(all_4_103, all_4_100) = % 19.20/3.49 | all_4_30 & op1(all_4_103, all_4_101) = all_4_32 & op1(all_4_103, % 19.20/3.49 | all_4_102) = all_4_34 & op1(all_4_103, all_4_103) = all_4_36 & % 19.20/3.49 | op1(all_4_103, all_4_104) = all_4_38 & op1(all_4_104, all_4_100) = % 19.20/3.49 | all_4_40 & op1(all_4_104, all_4_101) = all_4_42 & op1(all_4_104, % 19.20/3.49 | all_4_102) = all_4_44 & op1(all_4_104, all_4_103) = all_4_46 & % 19.20/3.49 | op1(all_4_104, all_4_104) = all_4_48 & op1(e14, e14) = all_4_51 & % 19.20/3.49 | op1(e14, e13) = all_4_53 & op1(e14, e12) = all_4_55 & op1(e14, e10) = % 19.20/3.49 | all_4_59 & op1(e14, e11) = all_4_57 & op1(e13, e14) = all_4_61 & % 19.20/3.49 | op1(e13, e13) = all_4_63 & op1(e13, e12) = all_4_65 & op1(e13, e10) = % 19.20/3.49 | all_4_69 & op1(e13, e11) = all_4_67 & op1(e12, e14) = all_4_71 & % 19.20/3.49 | op1(e12, e13) = all_4_73 & op1(e12, e12) = all_4_75 & op1(e12, e10) = % 19.20/3.49 | all_4_79 & op1(e12, e11) = all_4_77 & op1(e10, e14) = all_4_91 & % 19.20/3.49 | op1(e10, e13) = all_4_93 & op1(e10, e12) = all_4_95 & op1(e10, e10) = % 19.20/3.49 | all_4_99 & op1(e10, e11) = all_4_97 & op1(e11, e14) = all_4_81 & % 19.20/3.49 | op1(e11, e13) = all_4_83 & op1(e11, e12) = all_4_85 & op1(e11, e10) = % 19.20/3.49 | all_4_89 & op1(e11, e11) = all_4_87 & $i(all_4_0) & $i(all_4_1) & % 19.20/3.49 | $i(all_4_2) & $i(all_4_3) & $i(all_4_4) & $i(all_4_5) & $i(all_4_6) & % 19.20/3.49 | $i(all_4_7) & $i(all_4_8) & $i(all_4_9) & $i(all_4_10) & $i(all_4_11) % 19.20/3.49 | & $i(all_4_12) & $i(all_4_13) & $i(all_4_14) & $i(all_4_15) & % 19.20/3.49 | $i(all_4_16) & $i(all_4_17) & $i(all_4_18) & $i(all_4_19) & % 19.20/3.49 | $i(all_4_20) & $i(all_4_21) & $i(all_4_22) & $i(all_4_23) & % 19.20/3.49 | $i(all_4_24) & $i(all_4_25) & $i(all_4_26) & $i(all_4_27) & % 19.20/3.49 | $i(all_4_28) & $i(all_4_29) & $i(all_4_30) & $i(all_4_31) & % 19.20/3.49 | $i(all_4_32) & $i(all_4_33) & $i(all_4_34) & $i(all_4_35) & % 19.20/3.49 | $i(all_4_36) & $i(all_4_37) & $i(all_4_38) & $i(all_4_39) & % 19.20/3.49 | $i(all_4_40) & $i(all_4_41) & $i(all_4_42) & $i(all_4_43) & % 19.20/3.49 | $i(all_4_44) & $i(all_4_45) & $i(all_4_46) & $i(all_4_47) & % 19.20/3.49 | $i(all_4_48) & $i(all_4_49) & $i(all_4_50) & $i(all_4_51) & % 19.20/3.49 | $i(all_4_52) & $i(all_4_53) & $i(all_4_54) & $i(all_4_55) & % 19.20/3.49 | $i(all_4_56) & $i(all_4_57) & $i(all_4_58) & $i(all_4_59) & % 19.20/3.49 | $i(all_4_60) & $i(all_4_61) & $i(all_4_62) & $i(all_4_63) & % 19.20/3.49 | $i(all_4_64) & $i(all_4_65) & $i(all_4_66) & $i(all_4_67) & % 19.20/3.49 | $i(all_4_68) & $i(all_4_69) & $i(all_4_70) & $i(all_4_71) & % 19.20/3.49 | $i(all_4_72) & $i(all_4_73) & $i(all_4_74) & $i(all_4_75) & % 19.20/3.49 | $i(all_4_76) & $i(all_4_77) & $i(all_4_78) & $i(all_4_79) & % 19.20/3.49 | $i(all_4_80) & $i(all_4_81) & $i(all_4_82) & $i(all_4_83) & % 19.20/3.49 | $i(all_4_84) & $i(all_4_85) & $i(all_4_86) & $i(all_4_87) & % 19.20/3.49 | $i(all_4_88) & $i(all_4_89) & $i(all_4_90) & $i(all_4_91) & % 19.20/3.49 | $i(all_4_92) & $i(all_4_93) & $i(all_4_94) & $i(all_4_95) & % 19.20/3.49 | $i(all_4_96) & $i(all_4_97) & $i(all_4_98) & $i(all_4_99) & % 19.20/3.49 | $i(all_4_100) & $i(all_4_101) & $i(all_4_102) & $i(all_4_103) & % 19.20/3.49 | $i(all_4_104) & $i(all_4_105) & $i(all_4_106) & $i(all_4_107) & % 19.20/3.49 | $i(all_4_108) & $i(all_4_109) & (all_4_100 = e14 | all_4_100 = e13 | % 19.20/3.49 | all_4_100 = e12 | all_4_100 = e10 | all_4_100 = e11) & (all_4_101 = % 19.20/3.49 | e14 | all_4_101 = e13 | all_4_101 = e12 | all_4_101 = e10 | % 19.20/3.49 | all_4_101 = e11) & (all_4_102 = e14 | all_4_102 = e13 | all_4_102 = % 19.20/3.49 | e12 | all_4_102 = e10 | all_4_102 = e11) & (all_4_103 = e14 | % 19.20/3.49 | all_4_103 = e13 | all_4_103 = e12 | all_4_103 = e10 | all_4_103 = % 19.20/3.49 | e11) & (all_4_104 = e14 | all_4_104 = e13 | all_4_104 = e12 | % 19.20/3.49 | all_4_104 = e10 | all_4_104 = e11) & (all_4_105 = e24 | all_4_105 = % 19.20/3.49 | e23 | all_4_105 = e22 | all_4_105 = e20 | all_4_105 = e21) & % 19.20/3.49 | (all_4_106 = e24 | all_4_106 = e23 | all_4_106 = e22 | all_4_106 = e20 % 19.20/3.49 | | all_4_106 = e21) & (all_4_107 = e24 | all_4_107 = e23 | all_4_107 % 19.20/3.49 | = e22 | all_4_107 = e20 | all_4_107 = e21) & (all_4_108 = e24 | % 19.20/3.49 | all_4_108 = e23 | all_4_108 = e22 | all_4_108 = e20 | all_4_108 = % 19.20/3.49 | e21) & (all_4_109 = e24 | all_4_109 = e23 | all_4_109 = e22 | % 19.20/3.49 | all_4_109 = e20 | all_4_109 = e21) % 19.20/3.49 | % 19.20/3.49 | ALPHA: (60) implies: % 19.20/3.49 | (61) op1(e11, e11) = all_4_87 % 19.20/3.49 | (62) op1(e11, e10) = all_4_89 % 19.20/3.49 | (63) op1(e11, e12) = all_4_85 % 19.20/3.49 | (64) op1(e11, e13) = all_4_83 % 19.20/3.49 | (65) op1(e11, e14) = all_4_81 % 19.20/3.49 | (66) op1(e10, e11) = all_4_97 % 19.20/3.49 | (67) op1(e10, e10) = all_4_99 % 19.20/3.49 | (68) op1(e10, e12) = all_4_95 % 19.20/3.49 | (69) op1(e10, e13) = all_4_93 % 19.20/3.49 | (70) op1(e10, e14) = all_4_91 % 19.20/3.49 | (71) op1(e12, e11) = all_4_77 % 19.20/3.49 | (72) op1(e12, e10) = all_4_79 % 19.20/3.49 | (73) op1(e12, e12) = all_4_75 % 19.20/3.49 | (74) op1(e12, e13) = all_4_73 % 19.20/3.49 | (75) op1(e12, e14) = all_4_71 % 19.20/3.49 | (76) op1(e13, e11) = all_4_67 % 19.20/3.49 | (77) op1(e13, e10) = all_4_69 % 19.20/3.49 | (78) op1(e13, e12) = all_4_65 % 19.20/3.49 | (79) op1(e13, e13) = all_4_63 % 19.20/3.49 | (80) op1(e13, e14) = all_4_61 % 19.20/3.49 | (81) op1(e14, e11) = all_4_57 % 19.20/3.49 | (82) op1(e14, e10) = all_4_59 % 19.20/3.49 | (83) op1(e14, e12) = all_4_55 % 19.20/3.49 | (84) op1(e14, e13) = all_4_53 % 19.20/3.50 | (85) op1(e14, e14) = all_4_51 % 19.20/3.50 | (86) op1(all_4_104, all_4_104) = all_4_48 % 19.20/3.50 | (87) op1(all_4_103, all_4_104) = all_4_38 % 19.20/3.50 | (88) op1(all_4_103, all_4_103) = all_4_36 % 19.20/3.50 | (89) op1(all_4_103, all_4_102) = all_4_34 % 19.20/3.50 | (90) op1(all_4_103, all_4_101) = all_4_32 % 19.20/3.50 | (91) op1(all_4_103, all_4_100) = all_4_30 % 19.20/3.50 | (92) op1(all_4_102, all_4_102) = all_4_24 % 19.20/3.50 | (93) op1(all_4_102, all_4_101) = all_4_22 % 19.20/3.50 | (94) op1(all_4_102, all_4_100) = all_4_20 % 19.20/3.50 | (95) op1(all_4_101, all_4_104) = all_4_18 % 19.20/3.50 | (96) op1(all_4_101, all_4_103) = all_4_16 % 19.20/3.50 | (97) op1(all_4_101, all_4_101) = all_4_12 % 19.20/3.50 | (98) op1(all_4_101, all_4_100) = all_4_10 % 19.20/3.50 | (99) op2(e21, e21) = all_4_37 % 19.20/3.50 | (100) op2(e21, e20) = all_4_39 % 19.20/3.50 | (101) op2(e21, e22) = all_4_35 % 19.20/3.50 | (102) op2(e21, e23) = all_4_33 % 19.20/3.50 | (103) op2(e21, e24) = all_4_31 % 19.20/3.50 | (104) op2(e20, e21) = all_4_47 % 19.20/3.50 | (105) op2(e20, e20) = all_4_49 % 19.20/3.50 | (106) op2(e20, e22) = all_4_45 % 19.20/3.50 | (107) op2(e20, e23) = all_4_43 % 19.20/3.50 | (108) op2(e20, e24) = all_4_41 % 19.20/3.50 | (109) op2(e22, e21) = all_4_27 % 19.20/3.50 | (110) op2(e22, e20) = all_4_29 % 19.20/3.50 | (111) op2(e22, e22) = all_4_25 % 19.20/3.50 | (112) op2(e22, e23) = all_4_23 % 19.20/3.50 | (113) op2(e22, e24) = all_4_21 % 19.20/3.50 | (114) op2(e23, e21) = all_4_17 % 19.20/3.50 | (115) op2(e23, e20) = all_4_19 % 19.20/3.50 | (116) op2(e23, e22) = all_4_15 % 19.20/3.50 | (117) op2(e23, e23) = all_4_13 % 19.20/3.50 | (118) op2(e23, e24) = all_4_11 % 19.20/3.50 | (119) op2(e24, e21) = all_4_7 % 19.20/3.50 | (120) op2(e24, e20) = all_4_9 % 19.20/3.50 | (121) op2(e24, e22) = all_4_5 % 19.20/3.50 | (122) op2(e24, e23) = all_4_3 % 19.20/3.50 | (123) op2(e24, e24) = all_4_1 % 19.20/3.50 | (124) op2(all_4_109, all_4_109) = all_4_98 % 19.20/3.50 | (125) op2(all_4_108, all_4_108) = all_4_86 % 19.20/3.50 | (126) op2(all_4_108, all_4_105) = all_4_80 % 19.20/3.50 | (127) op2(all_4_105, all_4_108) = all_4_56 % 19.20/3.50 | (128) op2(all_4_105, all_4_107) = all_4_54 % 19.20/3.50 | (129) op2(all_4_105, all_4_105) = all_4_50 % 19.20/3.50 | (130) j(e21) = all_4_103 % 19.20/3.50 | (131) j(e20) = all_4_104 % 19.20/3.50 | (132) j(e22) = all_4_102 % 19.20/3.50 | (133) j(e23) = all_4_101 % 19.20/3.50 | (134) j(e24) = all_4_100 % 19.20/3.50 | (135) j(all_4_109) = e10 % 19.20/3.50 | (136) j(all_4_105) = e14 % 19.20/3.50 | (137) j(all_4_49) = all_4_48 % 19.20/3.50 | (138) j(all_4_47) = all_4_46 % 19.20/3.50 | (139) j(all_4_45) = all_4_44 % 19.20/3.50 | (140) j(all_4_43) = all_4_42 % 19.20/3.50 | (141) j(all_4_41) = all_4_40 % 19.20/3.50 | (142) j(all_4_39) = all_4_38 % 19.20/3.50 | (143) j(all_4_37) = all_4_36 % 19.20/3.50 | (144) j(all_4_35) = all_4_34 % 19.20/3.50 | (145) j(all_4_33) = all_4_32 % 19.20/3.50 | (146) j(all_4_31) = all_4_30 % 19.20/3.50 | (147) j(all_4_29) = all_4_28 % 19.20/3.50 | (148) j(all_4_27) = all_4_26 % 19.20/3.50 | (149) j(all_4_25) = all_4_24 % 19.20/3.50 | (150) j(all_4_23) = all_4_22 % 19.20/3.50 | (151) j(all_4_21) = all_4_20 % 19.20/3.50 | (152) j(all_4_19) = all_4_18 % 19.20/3.50 | (153) j(all_4_17) = all_4_16 % 19.20/3.50 | (154) j(all_4_15) = all_4_14 % 19.20/3.50 | (155) j(all_4_13) = all_4_12 % 19.20/3.50 | (156) j(all_4_11) = all_4_10 % 19.20/3.50 | (157) j(all_4_9) = all_4_8 % 19.20/3.50 | (158) j(all_4_7) = all_4_6 % 19.20/3.50 | (159) j(all_4_5) = all_4_4 % 19.20/3.50 | (160) j(all_4_3) = all_4_2 % 19.20/3.50 | (161) j(all_4_1) = all_4_0 % 19.20/3.50 | (162) h(e11) = all_4_108 % 19.20/3.50 | (163) h(e10) = all_4_109 % 19.20/3.50 | (164) h(e12) = all_4_107 % 19.20/3.50 | (165) h(e13) = all_4_106 % 19.20/3.50 | (166) h(e14) = all_4_105 % 19.20/3.50 | (167) h(all_4_104) = e20 % 19.20/3.50 | (168) h(all_4_102) = e22 % 19.20/3.50 | (169) h(all_4_99) = all_4_98 % 19.20/3.50 | (170) h(all_4_97) = all_4_96 % 19.20/3.50 | (171) h(all_4_95) = all_4_94 % 19.20/3.50 | (172) h(all_4_93) = all_4_92 % 19.20/3.50 | (173) h(all_4_91) = all_4_90 % 19.20/3.50 | (174) h(all_4_89) = all_4_88 % 19.20/3.50 | (175) h(all_4_87) = all_4_86 % 19.20/3.50 | (176) h(all_4_85) = all_4_84 % 19.20/3.50 | (177) h(all_4_83) = all_4_82 % 19.20/3.50 | (178) h(all_4_81) = all_4_80 % 19.20/3.50 | (179) h(all_4_79) = all_4_78 % 19.20/3.50 | (180) h(all_4_77) = all_4_76 % 19.20/3.50 | (181) h(all_4_75) = all_4_74 % 19.20/3.50 | (182) h(all_4_73) = all_4_72 % 19.20/3.50 | (183) h(all_4_71) = all_4_70 % 19.20/3.50 | (184) h(all_4_69) = all_4_68 % 19.20/3.50 | (185) h(all_4_67) = all_4_66 % 19.20/3.50 | (186) h(all_4_65) = all_4_64 % 19.20/3.50 | (187) h(all_4_63) = all_4_62 % 19.20/3.50 | (188) h(all_4_61) = all_4_60 % 19.20/3.50 | (189) h(all_4_59) = all_4_58 % 19.20/3.50 | (190) h(all_4_57) = all_4_56 % 19.20/3.50 | (191) h(all_4_55) = all_4_54 % 19.20/3.50 | (192) h(all_4_53) = all_4_52 % 19.20/3.50 | (193) h(all_4_51) = all_4_50 % 19.20/3.50 | (194) all_4_109 = e24 | all_4_109 = e23 | all_4_109 = e22 | all_4_109 = e20 % 19.20/3.50 | | all_4_109 = e21 % 19.20/3.51 | (195) all_4_108 = e24 | all_4_108 = e23 | all_4_108 = e22 | all_4_108 = e20 % 19.20/3.51 | | all_4_108 = e21 % 19.20/3.51 | (196) all_4_105 = e24 | all_4_105 = e23 | all_4_105 = e22 | all_4_105 = e20 % 19.20/3.51 | | all_4_105 = e21 % 19.20/3.51 | (197) all_4_103 = e14 | all_4_103 = e13 | all_4_103 = e12 | all_4_103 = e10 % 19.20/3.51 | | all_4_103 = e11 % 19.20/3.51 | (198) all_4_102 = e14 | all_4_102 = e13 | all_4_102 = e12 | all_4_102 = e10 % 19.20/3.51 | | all_4_102 = e11 % 19.20/3.51 | (199) all_4_101 = e14 | all_4_101 = e13 | all_4_101 = e12 | all_4_101 = e10 % 19.20/3.51 | | all_4_101 = e11 % 19.20/3.51 | % 19.20/3.51 | GROUND_INST: instantiating (58) with e14, all_4_87, e11, e11, simplifying with % 19.20/3.51 | (5), (61) gives: % 19.20/3.51 | (200) all_4_87 = e14 % 19.20/3.51 | % 19.20/3.51 | GROUND_INST: instantiating (58) with e11, all_4_89, e10, e11, simplifying with % 19.20/3.51 | (6), (62) gives: % 19.20/3.51 | (201) all_4_89 = e11 % 19.20/3.51 | % 19.20/3.51 | GROUND_INST: instantiating (58) with e10, all_4_85, e12, e11, simplifying with % 19.20/3.51 | (7), (63) gives: % 19.20/3.51 | (202) all_4_85 = e10 % 19.20/3.51 | % 19.20/3.51 | GROUND_INST: instantiating (58) with e12, all_4_83, e13, e11, simplifying with % 19.20/3.51 | (8), (64) gives: % 19.20/3.51 | (203) all_4_83 = e12 % 19.20/3.51 | % 19.20/3.51 | GROUND_INST: instantiating (58) with e13, all_4_81, e14, e11, simplifying with % 19.20/3.51 | (9), (65) gives: % 19.20/3.51 | (204) all_4_81 = e13 % 19.20/3.51 | % 19.20/3.51 | GROUND_INST: instantiating (58) with e11, all_4_97, e11, e10, simplifying with % 19.20/3.51 | (10), (66) gives: % 19.20/3.51 | (205) all_4_97 = e11 % 19.20/3.51 | % 19.20/3.51 | GROUND_INST: instantiating (58) with e10, all_4_99, e10, e10, simplifying with % 19.20/3.51 | (11), (67) gives: % 19.20/3.51 | (206) all_4_99 = e10 % 19.20/3.51 | % 19.20/3.51 | GROUND_INST: instantiating (58) with e12, all_4_95, e12, e10, simplifying with % 19.20/3.51 | (12), (68) gives: % 19.20/3.51 | (207) all_4_95 = e12 % 19.20/3.51 | % 19.20/3.51 | GROUND_INST: instantiating (58) with e13, all_4_93, e13, e10, simplifying with % 19.20/3.51 | (13), (69) gives: % 19.20/3.51 | (208) all_4_93 = e13 % 19.20/3.51 | % 19.20/3.51 | GROUND_INST: instantiating (58) with e14, all_4_91, e14, e10, simplifying with % 19.20/3.51 | (14), (70) gives: % 19.20/3.51 | (209) all_4_91 = e14 % 19.20/3.51 | % 19.20/3.51 | GROUND_INST: instantiating (58) with e10, all_4_77, e11, e12, simplifying with % 19.20/3.51 | (15), (71) gives: % 19.20/3.51 | (210) all_4_77 = e10 % 19.20/3.51 | % 19.20/3.51 | GROUND_INST: instantiating (58) with e12, all_4_79, e10, e12, simplifying with % 19.20/3.51 | (16), (72) gives: % 19.20/3.51 | (211) all_4_79 = e12 % 19.20/3.51 | % 19.20/3.51 | GROUND_INST: instantiating (58) with e13, all_4_75, e12, e12, simplifying with % 19.20/3.51 | (17), (73) gives: % 19.20/3.51 | (212) all_4_75 = e13 % 19.20/3.51 | % 19.20/3.51 | GROUND_INST: instantiating (58) with e14, all_4_73, e13, e12, simplifying with % 19.20/3.51 | (18), (74) gives: % 19.20/3.51 | (213) all_4_73 = e14 % 19.20/3.51 | % 19.20/3.51 | GROUND_INST: instantiating (58) with e11, all_4_71, e14, e12, simplifying with % 19.20/3.51 | (19), (75) gives: % 19.20/3.51 | (214) all_4_71 = e11 % 19.20/3.51 | % 19.20/3.51 | GROUND_INST: instantiating (58) with e12, all_4_67, e11, e13, simplifying with % 19.20/3.51 | (20), (76) gives: % 19.20/3.51 | (215) all_4_67 = e12 % 19.20/3.51 | % 19.20/3.51 | GROUND_INST: instantiating (58) with e13, all_4_69, e10, e13, simplifying with % 19.20/3.51 | (21), (77) gives: % 19.20/3.51 | (216) all_4_69 = e13 % 19.20/3.51 | % 19.20/3.51 | GROUND_INST: instantiating (58) with e14, all_4_65, e12, e13, simplifying with % 19.20/3.51 | (22), (78) gives: % 19.20/3.51 | (217) all_4_65 = e14 % 19.20/3.51 | % 19.20/3.51 | GROUND_INST: instantiating (58) with e11, all_4_63, e13, e13, simplifying with % 19.20/3.51 | (23), (79) gives: % 19.20/3.51 | (218) all_4_63 = e11 % 19.20/3.51 | % 19.20/3.51 | GROUND_INST: instantiating (58) with e10, all_4_61, e14, e13, simplifying with % 19.20/3.51 | (24), (80) gives: % 19.20/3.51 | (219) all_4_61 = e10 % 19.20/3.51 | % 19.20/3.51 | GROUND_INST: instantiating (58) with e13, all_4_57, e11, e14, simplifying with % 19.20/3.51 | (25), (81) gives: % 19.20/3.51 | (220) all_4_57 = e13 % 19.20/3.51 | % 19.20/3.51 | GROUND_INST: instantiating (58) with e14, all_4_59, e10, e14, simplifying with % 19.20/3.51 | (26), (82) gives: % 19.20/3.51 | (221) all_4_59 = e14 % 19.20/3.51 | % 19.20/3.51 | GROUND_INST: instantiating (58) with e11, all_4_55, e12, e14, simplifying with % 19.20/3.51 | (27), (83) gives: % 19.20/3.51 | (222) all_4_55 = e11 % 19.20/3.51 | % 19.20/3.51 | GROUND_INST: instantiating (58) with e10, all_4_53, e13, e14, simplifying with % 19.20/3.51 | (28), (84) gives: % 19.20/3.51 | (223) all_4_53 = e10 % 19.20/3.51 | % 19.20/3.51 | GROUND_INST: instantiating (58) with e12, all_4_51, e14, e14, simplifying with % 19.20/3.51 | (29), (85) gives: % 19.20/3.51 | (224) all_4_51 = e12 % 19.20/3.51 | % 19.20/3.51 | GROUND_INST: instantiating (59) with e22, all_4_37, e21, e21, simplifying with % 19.20/3.51 | (30), (99) gives: % 19.20/3.51 | (225) all_4_37 = e22 % 19.20/3.51 | % 19.20/3.51 | GROUND_INST: instantiating (59) with e21, all_4_39, e20, e21, simplifying with % 19.20/3.51 | (31), (100) gives: % 19.20/3.51 | (226) all_4_39 = e21 % 19.20/3.51 | % 19.20/3.51 | GROUND_INST: instantiating (59) with e24, all_4_35, e22, e21, simplifying with % 19.20/3.51 | (32), (101) gives: % 19.20/3.51 | (227) all_4_35 = e24 % 19.20/3.51 | % 19.20/3.51 | GROUND_INST: instantiating (59) with e20, all_4_33, e23, e21, simplifying with % 19.20/3.51 | (33), (102) gives: % 19.20/3.51 | (228) all_4_33 = e20 % 19.20/3.51 | % 19.20/3.51 | GROUND_INST: instantiating (59) with e23, all_4_31, e24, e21, simplifying with % 19.20/3.51 | (34), (103) gives: % 19.20/3.51 | (229) all_4_31 = e23 % 19.20/3.51 | % 19.20/3.51 | GROUND_INST: instantiating (59) with e21, all_4_47, e21, e20, simplifying with % 19.20/3.51 | (35), (104) gives: % 19.20/3.51 | (230) all_4_47 = e21 % 19.20/3.51 | % 19.20/3.51 | GROUND_INST: instantiating (59) with e20, all_4_49, e20, e20, simplifying with % 19.20/3.51 | (36), (105) gives: % 19.20/3.51 | (231) all_4_49 = e20 % 19.20/3.51 | % 19.20/3.51 | GROUND_INST: instantiating (59) with e22, all_4_45, e22, e20, simplifying with % 19.20/3.51 | (37), (106) gives: % 19.20/3.51 | (232) all_4_45 = e22 % 19.20/3.51 | % 19.20/3.51 | GROUND_INST: instantiating (59) with e23, all_4_43, e23, e20, simplifying with % 19.20/3.51 | (38), (107) gives: % 19.20/3.51 | (233) all_4_43 = e23 % 19.20/3.51 | % 19.20/3.51 | GROUND_INST: instantiating (59) with e24, all_4_41, e24, e20, simplifying with % 19.20/3.51 | (39), (108) gives: % 19.20/3.51 | (234) all_4_41 = e24 % 19.20/3.51 | % 19.20/3.51 | GROUND_INST: instantiating (59) with e20, all_4_27, e21, e22, simplifying with % 19.20/3.51 | (40), (109) gives: % 19.20/3.51 | (235) all_4_27 = e20 % 19.20/3.51 | % 19.20/3.51 | GROUND_INST: instantiating (59) with e22, all_4_29, e20, e22, simplifying with % 19.20/3.51 | (41), (110) gives: % 19.20/3.51 | (236) all_4_29 = e22 % 19.20/3.51 | % 19.20/3.51 | GROUND_INST: instantiating (59) with e23, all_4_25, e22, e22, simplifying with % 19.20/3.51 | (42), (111) gives: % 19.20/3.51 | (237) all_4_25 = e23 % 19.20/3.52 | % 19.20/3.52 | GROUND_INST: instantiating (59) with e24, all_4_23, e23, e22, simplifying with % 19.20/3.52 | (43), (112) gives: % 19.20/3.52 | (238) all_4_23 = e24 % 19.20/3.52 | % 19.20/3.52 | GROUND_INST: instantiating (59) with e21, all_4_21, e24, e22, simplifying with % 19.20/3.52 | (44), (113) gives: % 19.20/3.52 | (239) all_4_21 = e21 % 19.20/3.52 | % 19.20/3.52 | GROUND_INST: instantiating (59) with e24, all_4_17, e21, e23, simplifying with % 19.20/3.52 | (45), (114) gives: % 19.20/3.52 | (240) all_4_17 = e24 % 19.20/3.52 | % 19.20/3.52 | GROUND_INST: instantiating (59) with e23, all_4_19, e20, e23, simplifying with % 19.20/3.52 | (46), (115) gives: % 19.20/3.52 | (241) all_4_19 = e23 % 19.20/3.52 | % 19.20/3.52 | GROUND_INST: instantiating (59) with e20, all_4_15, e22, e23, simplifying with % 19.20/3.52 | (47), (116) gives: % 19.20/3.52 | (242) all_4_15 = e20 % 19.20/3.52 | % 19.20/3.52 | GROUND_INST: instantiating (59) with e21, all_4_13, e23, e23, simplifying with % 19.20/3.52 | (48), (117) gives: % 19.20/3.52 | (243) all_4_13 = e21 % 19.20/3.52 | % 19.20/3.52 | GROUND_INST: instantiating (59) with e22, all_4_11, e24, e23, simplifying with % 19.20/3.52 | (49), (118) gives: % 19.20/3.52 | (244) all_4_11 = e22 % 19.20/3.52 | % 19.20/3.52 | GROUND_INST: instantiating (59) with e23, all_4_7, e21, e24, simplifying with % 19.20/3.52 | (50), (119) gives: % 19.20/3.52 | (245) all_4_7 = e23 % 19.20/3.52 | % 19.20/3.52 | GROUND_INST: instantiating (59) with e24, all_4_9, e20, e24, simplifying with % 19.20/3.52 | (51), (120) gives: % 19.20/3.52 | (246) all_4_9 = e24 % 19.20/3.52 | % 19.20/3.52 | GROUND_INST: instantiating (59) with e21, all_4_5, e22, e24, simplifying with % 19.20/3.52 | (52), (121) gives: % 19.20/3.52 | (247) all_4_5 = e21 % 19.20/3.52 | % 19.20/3.52 | GROUND_INST: instantiating (59) with e22, all_4_3, e23, e24, simplifying with % 19.20/3.52 | (53), (122) gives: % 19.20/3.52 | (248) all_4_3 = e22 % 19.20/3.52 | % 19.20/3.52 | GROUND_INST: instantiating (59) with e20, all_4_1, e24, e24, simplifying with % 19.20/3.52 | (54), (123) gives: % 19.20/3.52 | (249) all_4_1 = e20 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (193), (224) imply: % 19.20/3.52 | (250) h(e12) = all_4_50 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (192), (223) imply: % 19.20/3.52 | (251) h(e10) = all_4_52 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (191), (222) imply: % 19.20/3.52 | (252) h(e11) = all_4_54 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (190), (220) imply: % 19.20/3.52 | (253) h(e13) = all_4_56 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (189), (221) imply: % 19.20/3.52 | (254) h(e14) = all_4_58 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (188), (219) imply: % 19.20/3.52 | (255) h(e10) = all_4_60 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (187), (218) imply: % 19.20/3.52 | (256) h(e11) = all_4_62 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (186), (217) imply: % 19.20/3.52 | (257) h(e14) = all_4_64 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (185), (215) imply: % 19.20/3.52 | (258) h(e12) = all_4_66 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (184), (216) imply: % 19.20/3.52 | (259) h(e13) = all_4_68 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (183), (214) imply: % 19.20/3.52 | (260) h(e11) = all_4_70 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (182), (213) imply: % 19.20/3.52 | (261) h(e14) = all_4_72 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (181), (212) imply: % 19.20/3.52 | (262) h(e13) = all_4_74 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (180), (210) imply: % 19.20/3.52 | (263) h(e10) = all_4_76 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (179), (211) imply: % 19.20/3.52 | (264) h(e12) = all_4_78 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (178), (204) imply: % 19.20/3.52 | (265) h(e13) = all_4_80 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (177), (203) imply: % 19.20/3.52 | (266) h(e12) = all_4_82 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (176), (202) imply: % 19.20/3.52 | (267) h(e10) = all_4_84 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (175), (200) imply: % 19.20/3.52 | (268) h(e14) = all_4_86 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (174), (201) imply: % 19.20/3.52 | (269) h(e11) = all_4_88 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (173), (209) imply: % 19.20/3.52 | (270) h(e14) = all_4_90 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (172), (208) imply: % 19.20/3.52 | (271) h(e13) = all_4_92 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (171), (207) imply: % 19.20/3.52 | (272) h(e12) = all_4_94 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (170), (205) imply: % 19.20/3.52 | (273) h(e11) = all_4_96 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (169), (206) imply: % 19.20/3.52 | (274) h(e10) = all_4_98 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (161), (249) imply: % 19.20/3.52 | (275) j(e20) = all_4_0 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (160), (248) imply: % 19.20/3.52 | (276) j(e22) = all_4_2 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (159), (247) imply: % 19.20/3.52 | (277) j(e21) = all_4_4 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (158), (245) imply: % 19.20/3.52 | (278) j(e23) = all_4_6 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (157), (246) imply: % 19.20/3.52 | (279) j(e24) = all_4_8 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (156), (244) imply: % 19.20/3.52 | (280) j(e22) = all_4_10 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (155), (243) imply: % 19.20/3.52 | (281) j(e21) = all_4_12 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (154), (242) imply: % 19.20/3.52 | (282) j(e20) = all_4_14 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (153), (240) imply: % 19.20/3.52 | (283) j(e24) = all_4_16 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (152), (241) imply: % 19.20/3.52 | (284) j(e23) = all_4_18 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (151), (239) imply: % 19.20/3.52 | (285) j(e21) = all_4_20 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (150), (238) imply: % 19.20/3.52 | (286) j(e24) = all_4_22 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (149), (237) imply: % 19.20/3.52 | (287) j(e23) = all_4_24 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (148), (235) imply: % 19.20/3.52 | (288) j(e20) = all_4_26 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (147), (236) imply: % 19.20/3.52 | (289) j(e22) = all_4_28 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (146), (229) imply: % 19.20/3.52 | (290) j(e23) = all_4_30 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (145), (228) imply: % 19.20/3.52 | (291) j(e20) = all_4_32 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (144), (227) imply: % 19.20/3.52 | (292) j(e24) = all_4_34 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (143), (225) imply: % 19.20/3.52 | (293) j(e22) = all_4_36 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (142), (226) imply: % 19.20/3.52 | (294) j(e21) = all_4_38 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (141), (234) imply: % 19.20/3.52 | (295) j(e24) = all_4_40 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (140), (233) imply: % 19.20/3.52 | (296) j(e23) = all_4_42 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (139), (232) imply: % 19.20/3.52 | (297) j(e22) = all_4_44 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (138), (230) imply: % 19.20/3.52 | (298) j(e21) = all_4_46 % 19.20/3.52 | % 19.20/3.52 | REDUCE: (137), (231) imply: % 19.20/3.52 | (299) j(e20) = all_4_48 % 19.20/3.52 | % 19.20/3.52 | GROUND_INST: instantiating (56) with all_4_103, all_4_38, e21, simplifying % 19.20/3.52 | with (130), (294) gives: % 19.20/3.52 | (300) all_4_38 = all_4_103 % 19.20/3.52 | % 19.20/3.52 | GROUND_INST: instantiating (56) with all_4_38, all_4_20, e21, simplifying with % 19.20/3.52 | (285), (294) gives: % 19.20/3.52 | (301) all_4_20 = all_4_38 % 19.20/3.52 | % 19.20/3.53 | GROUND_INST: instantiating (56) with all_4_20, all_4_12, e21, simplifying with % 19.20/3.53 | (281), (285) gives: % 19.20/3.53 | (302) all_4_12 = all_4_20 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (56) with all_4_12, all_4_4, e21, simplifying with % 19.20/3.53 | (277), (281) gives: % 19.20/3.53 | (303) all_4_4 = all_4_12 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (56) with all_4_46, all_4_4, e21, simplifying with % 19.20/3.53 | (277), (298) gives: % 19.20/3.53 | (304) all_4_4 = all_4_46 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (56) with all_4_32, all_4_14, e20, simplifying with % 19.20/3.53 | (282), (291) gives: % 19.20/3.53 | (305) all_4_14 = all_4_32 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (56) with all_4_48, all_4_14, e20, simplifying with % 19.20/3.53 | (282), (299) gives: % 19.20/3.53 | (306) all_4_14 = all_4_48 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (56) with all_4_104, all_4_0, e20, simplifying with % 19.20/3.53 | (131), (275) gives: % 19.20/3.53 | (307) all_4_0 = all_4_104 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (56) with all_4_26, all_4_0, e20, simplifying with % 19.20/3.53 | (275), (288) gives: % 19.20/3.53 | (308) all_4_0 = all_4_26 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (56) with all_4_32, all_4_0, e20, simplifying with % 19.20/3.53 | (275), (291) gives: % 19.20/3.53 | (309) all_4_0 = all_4_32 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (56) with all_4_102, all_4_10, e22, simplifying % 19.20/3.53 | with (132), (280) gives: % 19.20/3.53 | (310) all_4_10 = all_4_102 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (56) with all_4_28, all_4_10, e22, simplifying with % 19.20/3.53 | (280), (289) gives: % 19.20/3.53 | (311) all_4_10 = all_4_28 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (56) with all_4_36, all_4_10, e22, simplifying with % 19.20/3.53 | (280), (293) gives: % 19.20/3.53 | (312) all_4_10 = all_4_36 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (56) with all_4_28, all_4_2, e22, simplifying with % 19.20/3.53 | (276), (289) gives: % 19.20/3.53 | (313) all_4_2 = all_4_28 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (56) with all_4_44, all_4_2, e22, simplifying with % 19.20/3.53 | (276), (297) gives: % 19.20/3.53 | (314) all_4_2 = all_4_44 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (56) with all_4_101, all_4_30, e23, simplifying % 19.20/3.53 | with (133), (290) gives: % 19.20/3.53 | (315) all_4_30 = all_4_101 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (56) with all_4_30, all_4_24, e23, simplifying with % 19.20/3.53 | (287), (290) gives: % 19.20/3.53 | (316) all_4_24 = all_4_30 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (56) with all_4_24, all_4_18, e23, simplifying with % 19.20/3.53 | (284), (287) gives: % 19.20/3.53 | (317) all_4_18 = all_4_24 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (56) with all_4_18, all_4_6, e23, simplifying with % 19.20/3.53 | (278), (284) gives: % 19.20/3.53 | (318) all_4_6 = all_4_18 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (56) with all_4_42, all_4_6, e23, simplifying with % 19.20/3.53 | (278), (296) gives: % 19.20/3.53 | (319) all_4_6 = all_4_42 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (56) with all_4_100, all_4_22, e24, simplifying % 19.20/3.53 | with (134), (286) gives: % 19.20/3.53 | (320) all_4_22 = all_4_100 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (56) with all_4_34, all_4_22, e24, simplifying with % 19.20/3.53 | (286), (292) gives: % 19.20/3.53 | (321) all_4_22 = all_4_34 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (56) with all_4_16, all_4_8, e24, simplifying with % 19.20/3.53 | (279), (283) gives: % 19.20/3.53 | (322) all_4_8 = all_4_16 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (56) with all_4_34, all_4_8, e24, simplifying with % 19.20/3.53 | (279), (292) gives: % 19.20/3.53 | (323) all_4_8 = all_4_34 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (56) with all_4_40, all_4_8, e24, simplifying with % 19.20/3.53 | (279), (295) gives: % 19.20/3.53 | (324) all_4_8 = all_4_40 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (57) with all_4_108, all_4_62, e11, simplifying % 19.20/3.53 | with (162), (256) gives: % 19.20/3.53 | (325) all_4_62 = all_4_108 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (57) with all_4_62, all_4_54, e11, simplifying with % 19.20/3.53 | (252), (256) gives: % 19.20/3.53 | (326) all_4_54 = all_4_62 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (57) with all_4_70, all_4_54, e11, simplifying with % 19.20/3.53 | (252), (260) gives: % 19.20/3.53 | (327) all_4_54 = all_4_70 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (57) with all_4_88, all_4_54, e11, simplifying with % 19.20/3.53 | (252), (269) gives: % 19.20/3.53 | (328) all_4_54 = all_4_88 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (57) with all_4_96, all_4_54, e11, simplifying with % 19.20/3.53 | (252), (273) gives: % 19.20/3.53 | (329) all_4_54 = all_4_96 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (57) with all_4_84, all_4_76, e10, simplifying with % 19.20/3.53 | (263), (267) gives: % 19.20/3.53 | (330) all_4_76 = all_4_84 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (57) with all_4_76, all_4_60, e10, simplifying with % 19.20/3.53 | (255), (263) gives: % 19.20/3.53 | (331) all_4_60 = all_4_76 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (57) with all_4_98, all_4_60, e10, simplifying with % 19.20/3.53 | (255), (274) gives: % 19.20/3.53 | (332) all_4_60 = all_4_98 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (57) with all_4_109, all_4_52, e10, simplifying % 19.20/3.53 | with (163), (251) gives: % 19.20/3.53 | (333) all_4_52 = all_4_109 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (57) with all_4_84, all_4_52, e10, simplifying with % 19.20/3.53 | (251), (267) gives: % 19.20/3.53 | (334) all_4_52 = all_4_84 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (57) with all_4_82, all_4_78, e12, simplifying with % 19.20/3.53 | (264), (266) gives: % 19.20/3.53 | (335) all_4_78 = all_4_82 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (57) with all_4_107, all_4_66, e12, simplifying % 19.20/3.53 | with (164), (258) gives: % 19.20/3.53 | (336) all_4_66 = all_4_107 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (57) with all_4_78, all_4_66, e12, simplifying with % 19.20/3.53 | (258), (264) gives: % 19.20/3.53 | (337) all_4_66 = all_4_78 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (57) with all_4_82, all_4_50, e12, simplifying with % 19.20/3.53 | (250), (266) gives: % 19.20/3.53 | (338) all_4_50 = all_4_82 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (57) with all_4_94, all_4_50, e12, simplifying with % 19.20/3.53 | (250), (272) gives: % 19.20/3.53 | (339) all_4_50 = all_4_94 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (57) with all_4_80, all_4_74, e13, simplifying with % 19.20/3.53 | (262), (265) gives: % 19.20/3.53 | (340) all_4_74 = all_4_80 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (57) with all_4_106, all_4_68, e13, simplifying % 19.20/3.53 | with (165), (259) gives: % 19.20/3.53 | (341) all_4_68 = all_4_106 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (57) with all_4_80, all_4_68, e13, simplifying with % 19.20/3.53 | (259), (265) gives: % 19.20/3.53 | (342) all_4_68 = all_4_80 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (57) with all_4_74, all_4_56, e13, simplifying with % 19.20/3.53 | (253), (262) gives: % 19.20/3.53 | (343) all_4_56 = all_4_74 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (57) with all_4_92, all_4_56, e13, simplifying with % 19.20/3.53 | (253), (271) gives: % 19.20/3.53 | (344) all_4_56 = all_4_92 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (57) with all_4_105, all_4_64, e14, simplifying % 19.20/3.53 | with (166), (257) gives: % 19.20/3.53 | (345) all_4_64 = all_4_105 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (57) with all_4_86, all_4_64, e14, simplifying with % 19.20/3.53 | (257), (268) gives: % 19.20/3.53 | (346) all_4_64 = all_4_86 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (57) with all_4_64, all_4_58, e14, simplifying with % 19.20/3.53 | (254), (257) gives: % 19.20/3.53 | (347) all_4_58 = all_4_64 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (57) with all_4_72, all_4_58, e14, simplifying with % 19.20/3.53 | (254), (261) gives: % 19.20/3.53 | (348) all_4_58 = all_4_72 % 19.20/3.53 | % 19.20/3.53 | GROUND_INST: instantiating (57) with all_4_90, all_4_58, e14, simplifying with % 19.20/3.53 | (254), (270) gives: % 19.20/3.53 | (349) all_4_58 = all_4_90 % 19.20/3.53 | % 19.20/3.53 | COMBINE_EQS: (308), (309) imply: % 19.20/3.53 | (350) all_4_26 = all_4_32 % 19.20/3.53 | % 19.20/3.53 | COMBINE_EQS: (307), (308) imply: % 19.20/3.53 | (351) all_4_26 = all_4_104 % 19.20/3.53 | % 19.20/3.53 | COMBINE_EQS: (313), (314) imply: % 19.20/3.53 | (352) all_4_28 = all_4_44 % 19.20/3.53 | % 19.20/3.53 | SIMP: (352) implies: % 19.20/3.53 | (353) all_4_28 = all_4_44 % 19.20/3.53 | % 19.20/3.53 | COMBINE_EQS: (303), (304) imply: % 19.20/3.53 | (354) all_4_12 = all_4_46 % 19.20/3.53 | % 19.20/3.53 | SIMP: (354) implies: % 19.20/3.53 | (355) all_4_12 = all_4_46 % 19.20/3.53 | % 19.20/3.53 | COMBINE_EQS: (318), (319) imply: % 19.20/3.53 | (356) all_4_18 = all_4_42 % 19.20/3.53 | % 19.20/3.53 | SIMP: (356) implies: % 19.20/3.53 | (357) all_4_18 = all_4_42 % 19.20/3.53 | % 19.20/3.53 | COMBINE_EQS: (322), (324) imply: % 19.20/3.53 | (358) all_4_16 = all_4_40 % 19.20/3.53 | % 19.20/3.53 | COMBINE_EQS: (322), (323) imply: % 19.20/3.53 | (359) all_4_16 = all_4_34 % 19.20/3.53 | % 19.20/3.53 | COMBINE_EQS: (311), (312) imply: % 19.20/3.53 | (360) all_4_28 = all_4_36 % 19.20/3.53 | % 19.20/3.53 | SIMP: (360) implies: % 19.20/3.53 | (361) all_4_28 = all_4_36 % 19.20/3.53 | % 19.20/3.53 | COMBINE_EQS: (310), (312) imply: % 19.20/3.53 | (362) all_4_36 = all_4_102 % 19.20/3.53 | % 19.20/3.53 | COMBINE_EQS: (302), (355) imply: % 19.20/3.53 | (363) all_4_20 = all_4_46 % 19.20/3.53 | % 19.20/3.53 | SIMP: (363) implies: % 19.20/3.53 | (364) all_4_20 = all_4_46 % 19.20/3.53 | % 19.20/3.53 | COMBINE_EQS: (305), (306) imply: % 19.20/3.53 | (365) all_4_32 = all_4_48 % 19.20/3.53 | % 19.20/3.53 | SIMP: (365) implies: % 19.20/3.53 | (366) all_4_32 = all_4_48 % 19.20/3.53 | % 19.20/3.53 | COMBINE_EQS: (358), (359) imply: % 19.20/3.53 | (367) all_4_34 = all_4_40 % 19.20/3.53 | % 19.20/3.53 | SIMP: (367) implies: % 19.20/3.53 | (368) all_4_34 = all_4_40 % 19.20/3.53 | % 19.20/3.53 | COMBINE_EQS: (317), (357) imply: % 19.20/3.53 | (369) all_4_24 = all_4_42 % 19.20/3.53 | % 19.20/3.53 | SIMP: (369) implies: % 19.20/3.53 | (370) all_4_24 = all_4_42 % 19.20/3.53 | % 19.20/3.53 | COMBINE_EQS: (301), (364) imply: % 19.20/3.53 | (371) all_4_38 = all_4_46 % 19.20/3.53 | % 19.20/3.53 | SIMP: (371) implies: % 19.20/3.53 | (372) all_4_38 = all_4_46 % 19.20/3.53 | % 19.20/3.53 | COMBINE_EQS: (320), (321) imply: % 19.20/3.53 | (373) all_4_34 = all_4_100 % 19.20/3.53 | % 19.20/3.53 | SIMP: (373) implies: % 19.20/3.53 | (374) all_4_34 = all_4_100 % 19.20/3.53 | % 19.20/3.53 | COMBINE_EQS: (316), (370) imply: % 19.20/3.53 | (375) all_4_30 = all_4_42 % 19.20/3.53 | % 19.20/3.53 | SIMP: (375) implies: % 19.20/3.53 | (376) all_4_30 = all_4_42 % 19.20/3.53 | % 19.20/3.53 | COMBINE_EQS: (350), (351) imply: % 19.20/3.53 | (377) all_4_32 = all_4_104 % 19.20/3.53 | % 19.20/3.53 | SIMP: (377) implies: % 19.20/3.53 | (378) all_4_32 = all_4_104 % 19.20/3.54 | % 19.20/3.54 | COMBINE_EQS: (353), (361) imply: % 19.20/3.54 | (379) all_4_36 = all_4_44 % 19.20/3.54 | % 19.20/3.54 | SIMP: (379) implies: % 19.20/3.54 | (380) all_4_36 = all_4_44 % 19.20/3.54 | % 19.20/3.54 | COMBINE_EQS: (315), (376) imply: % 19.20/3.54 | (381) all_4_42 = all_4_101 % 19.20/3.54 | % 19.20/3.54 | COMBINE_EQS: (366), (378) imply: % 19.20/3.54 | (382) all_4_48 = all_4_104 % 19.20/3.54 | % 19.20/3.54 | COMBINE_EQS: (368), (374) imply: % 19.20/3.54 | (383) all_4_40 = all_4_100 % 19.20/3.54 | % 19.20/3.54 | SIMP: (383) implies: % 19.20/3.54 | (384) all_4_40 = all_4_100 % 19.20/3.54 | % 19.20/3.54 | COMBINE_EQS: (362), (380) imply: % 19.20/3.54 | (385) all_4_44 = all_4_102 % 19.20/3.54 | % 19.20/3.54 | COMBINE_EQS: (300), (372) imply: % 19.20/3.54 | (386) all_4_46 = all_4_103 % 19.20/3.54 | % 19.20/3.54 | SIMP: (386) implies: % 19.20/3.54 | (387) all_4_46 = all_4_103 % 19.20/3.54 | % 19.20/3.54 | COMBINE_EQS: (338), (339) imply: % 19.20/3.54 | (388) all_4_82 = all_4_94 % 19.20/3.54 | % 19.20/3.54 | SIMP: (388) implies: % 19.20/3.54 | (389) all_4_82 = all_4_94 % 19.20/3.54 | % 19.20/3.54 | COMBINE_EQS: (333), (334) imply: % 19.20/3.54 | (390) all_4_84 = all_4_109 % 19.20/3.54 | % 19.20/3.54 | SIMP: (390) implies: % 19.20/3.54 | (391) all_4_84 = all_4_109 % 19.20/3.54 | % 19.20/3.54 | COMBINE_EQS: (326), (327) imply: % 19.20/3.54 | (392) all_4_62 = all_4_70 % 19.20/3.54 | % 19.20/3.54 | SIMP: (392) implies: % 19.20/3.54 | (393) all_4_62 = all_4_70 % 19.20/3.54 | % 19.20/3.54 | COMBINE_EQS: (327), (329) imply: % 19.20/3.54 | (394) all_4_70 = all_4_96 % 19.20/3.54 | % 19.20/3.54 | COMBINE_EQS: (327), (328) imply: % 19.20/3.54 | (395) all_4_70 = all_4_88 % 19.20/3.54 | % 19.20/3.54 | COMBINE_EQS: (343), (344) imply: % 19.20/3.54 | (396) all_4_74 = all_4_92 % 19.20/3.54 | % 19.20/3.54 | SIMP: (396) implies: % 19.20/3.54 | (397) all_4_74 = all_4_92 % 19.20/3.54 | % 19.20/3.54 | COMBINE_EQS: (348), (349) imply: % 19.20/3.54 | (398) all_4_72 = all_4_90 % 19.20/3.54 | % 19.20/3.54 | COMBINE_EQS: (347), (348) imply: % 19.20/3.54 | (399) all_4_64 = all_4_72 % 19.20/3.54 | % 19.20/3.54 | SIMP: (399) implies: % 19.20/3.54 | (400) all_4_64 = all_4_72 % 19.20/3.54 | % 19.20/3.54 | COMBINE_EQS: (331), (332) imply: % 19.20/3.54 | (401) all_4_76 = all_4_98 % 19.20/3.54 | % 19.20/3.54 | SIMP: (401) implies: % 19.20/3.54 | (402) all_4_76 = all_4_98 % 19.20/3.54 | % 19.20/3.54 | COMBINE_EQS: (325), (393) imply: % 19.20/3.54 | (403) all_4_70 = all_4_108 % 19.20/3.54 | % 19.20/3.54 | SIMP: (403) implies: % 19.20/3.54 | (404) all_4_70 = all_4_108 % 19.20/3.54 | % 19.20/3.54 | COMBINE_EQS: (346), (400) imply: % 19.20/3.54 | (405) all_4_72 = all_4_86 % 19.20/3.54 | % 19.20/3.54 | SIMP: (405) implies: % 19.20/3.54 | (406) all_4_72 = all_4_86 % 19.20/3.54 | % 19.20/3.54 | COMBINE_EQS: (345), (346) imply: % 19.20/3.54 | (407) all_4_86 = all_4_105 % 19.20/3.54 | % 19.20/3.54 | COMBINE_EQS: (336), (337) imply: % 19.20/3.54 | (408) all_4_78 = all_4_107 % 19.20/3.54 | % 19.20/3.54 | SIMP: (408) implies: % 19.20/3.54 | (409) all_4_78 = all_4_107 % 19.20/3.54 | % 19.20/3.54 | COMBINE_EQS: (341), (342) imply: % 19.20/3.54 | (410) all_4_80 = all_4_106 % 19.20/3.54 | % 19.20/3.54 | SIMP: (410) implies: % 19.20/3.54 | (411) all_4_80 = all_4_106 % 19.20/3.54 | % 19.20/3.54 | COMBINE_EQS: (395), (404) imply: % 19.20/3.54 | (412) all_4_88 = all_4_108 % 19.20/3.54 | % 19.20/3.54 | COMBINE_EQS: (394), (395) imply: % 19.20/3.54 | (413) all_4_88 = all_4_96 % 19.20/3.54 | % 19.20/3.54 | COMBINE_EQS: (398), (406) imply: % 19.20/3.54 | (414) all_4_86 = all_4_90 % 19.20/3.54 | % 19.20/3.54 | SIMP: (414) implies: % 19.20/3.54 | (415) all_4_86 = all_4_90 % 19.20/3.54 | % 19.20/3.54 | COMBINE_EQS: (340), (397) imply: % 19.20/3.54 | (416) all_4_80 = all_4_92 % 19.20/3.54 | % 19.20/3.54 | SIMP: (416) implies: % 19.20/3.54 | (417) all_4_80 = all_4_92 % 19.20/3.54 | % 19.20/3.54 | COMBINE_EQS: (330), (402) imply: % 19.20/3.54 | (418) all_4_84 = all_4_98 % 19.20/3.54 | % 19.20/3.54 | SIMP: (418) implies: % 19.20/3.54 | (419) all_4_84 = all_4_98 % 19.20/3.54 | % 19.20/3.54 | COMBINE_EQS: (335), (409) imply: % 19.20/3.54 | (420) all_4_82 = all_4_107 % 19.20/3.54 | % 19.20/3.54 | SIMP: (420) implies: % 19.20/3.54 | (421) all_4_82 = all_4_107 % 19.20/3.54 | % 19.20/3.54 | COMBINE_EQS: (411), (417) imply: % 19.20/3.54 | (422) all_4_92 = all_4_106 % 19.20/3.54 | % 19.20/3.54 | SIMP: (422) implies: % 19.20/3.54 | (423) all_4_92 = all_4_106 % 19.20/3.54 | % 19.20/3.54 | COMBINE_EQS: (389), (421) imply: % 19.20/3.54 | (424) all_4_94 = all_4_107 % 19.20/3.54 | % 19.20/3.54 | SIMP: (424) implies: % 19.20/3.54 | (425) all_4_94 = all_4_107 % 19.20/3.54 | % 19.20/3.54 | COMBINE_EQS: (391), (419) imply: % 19.20/3.54 | (426) all_4_98 = all_4_109 % 19.20/3.54 | % 19.20/3.54 | SIMP: (426) implies: % 19.20/3.54 | (427) all_4_98 = all_4_109 % 19.20/3.54 | % 19.20/3.54 | COMBINE_EQS: (407), (415) imply: % 19.20/3.54 | (428) all_4_90 = all_4_105 % 19.20/3.54 | % 19.20/3.54 | COMBINE_EQS: (412), (413) imply: % 19.20/3.54 | (429) all_4_96 = all_4_108 % 19.20/3.54 | % 19.20/3.54 | COMBINE_EQS: (344), (423) imply: % 19.20/3.54 | (430) all_4_56 = all_4_106 % 19.20/3.54 | % 19.20/3.54 | COMBINE_EQS: (327), (404) imply: % 19.20/3.54 | (431) all_4_54 = all_4_108 % 19.20/3.54 | % 19.20/3.54 | COMBINE_EQS: (339), (425) imply: % 19.20/3.54 | (432) all_4_50 = all_4_107 % 19.20/3.54 | % 19.20/3.54 | COMBINE_EQS: (370), (381) imply: % 19.20/3.54 | (433) all_4_24 = all_4_101 % 19.20/3.54 | % 19.20/3.54 | COMBINE_EQS: (364), (387) imply: % 19.20/3.54 | (434) all_4_20 = all_4_103 % 19.20/3.54 | % 19.20/3.54 | COMBINE_EQS: (357), (381) imply: % 19.20/3.54 | (435) all_4_18 = all_4_101 % 19.20/3.54 | % 19.20/3.54 | COMBINE_EQS: (358), (384) imply: % 19.20/3.54 | (436) all_4_16 = all_4_100 % 19.20/3.54 | % 19.20/3.54 | COMBINE_EQS: (355), (387) imply: % 19.20/3.54 | (437) all_4_12 = all_4_103 % 19.20/3.54 | % 19.20/3.54 | REDUCE: (129), (432) imply: % 19.20/3.54 | (438) op2(all_4_105, all_4_105) = all_4_107 % 19.20/3.54 | % 19.20/3.54 | REDUCE: (128), (431) imply: % 19.20/3.54 | (439) op2(all_4_105, all_4_107) = all_4_108 % 19.20/3.54 | % 19.20/3.54 | REDUCE: (127), (430) imply: % 19.20/3.54 | (440) op2(all_4_105, all_4_108) = all_4_106 % 19.20/3.54 | % 19.20/3.54 | REDUCE: (126), (411) imply: % 19.20/3.54 | (441) op2(all_4_108, all_4_105) = all_4_106 % 19.20/3.54 | % 19.20/3.54 | REDUCE: (125), (407) imply: % 19.20/3.54 | (442) op2(all_4_108, all_4_108) = all_4_105 % 19.20/3.54 | % 19.20/3.54 | REDUCE: (124), (427) imply: % 19.20/3.54 | (443) op2(all_4_109, all_4_109) = all_4_109 % 19.20/3.54 | % 19.20/3.54 | REDUCE: (98), (310) imply: % 19.20/3.54 | (444) op1(all_4_101, all_4_100) = all_4_102 % 19.20/3.54 | % 19.20/3.54 | REDUCE: (97), (437) imply: % 19.20/3.54 | (445) op1(all_4_101, all_4_101) = all_4_103 % 19.20/3.54 | % 19.20/3.54 | REDUCE: (96), (436) imply: % 19.20/3.54 | (446) op1(all_4_101, all_4_103) = all_4_100 % 19.20/3.54 | % 19.20/3.54 | REDUCE: (95), (435) imply: % 19.20/3.54 | (447) op1(all_4_101, all_4_104) = all_4_101 % 19.20/3.54 | % 19.20/3.54 | REDUCE: (94), (434) imply: % 19.20/3.54 | (448) op1(all_4_102, all_4_100) = all_4_103 % 19.20/3.54 | % 19.20/3.54 | REDUCE: (93), (320) imply: % 19.20/3.54 | (449) op1(all_4_102, all_4_101) = all_4_100 % 19.20/3.54 | % 19.20/3.54 | REDUCE: (92), (433) imply: % 19.20/3.54 | (450) op1(all_4_102, all_4_102) = all_4_101 % 19.20/3.54 | % 19.20/3.54 | REDUCE: (91), (315) imply: % 19.20/3.54 | (451) op1(all_4_103, all_4_100) = all_4_101 % 19.20/3.54 | % 19.20/3.54 | REDUCE: (90), (378) imply: % 19.20/3.54 | (452) op1(all_4_103, all_4_101) = all_4_104 % 19.20/3.54 | % 19.20/3.54 | REDUCE: (89), (374) imply: % 19.20/3.54 | (453) op1(all_4_103, all_4_102) = all_4_100 % 19.20/3.54 | % 19.20/3.54 | REDUCE: (88), (362) imply: % 19.20/3.54 | (454) op1(all_4_103, all_4_103) = all_4_102 % 19.20/3.54 | % 19.20/3.54 | REDUCE: (87), (300) imply: % 19.20/3.54 | (455) op1(all_4_103, all_4_104) = all_4_103 % 19.20/3.54 | % 19.20/3.54 | REDUCE: (86), (382) imply: % 19.20/3.54 | (456) op1(all_4_104, all_4_104) = all_4_104 % 19.20/3.54 | % 19.20/3.54 | BETA: splitting (194) gives: % 19.20/3.54 | % 19.20/3.54 | Case 1: % 19.20/3.54 | | % 19.20/3.54 | | (457) all_4_109 = e24 % 19.20/3.54 | | % 19.20/3.54 | | REDUCE: (443), (457) imply: % 19.20/3.54 | | (458) op2(e24, e24) = e24 % 19.20/3.54 | | % 19.20/3.54 | | GROUND_INST: instantiating (59) with e20, e24, e24, e24, simplifying with % 19.20/3.54 | | (54), (458) gives: % 19.20/3.54 | | (459) e24 = e20 % 19.20/3.54 | | % 19.20/3.54 | | REDUCE: (4), (459) imply: % 19.20/3.54 | | (460) $false % 19.20/3.54 | | % 19.20/3.54 | | CLOSE: (460) is inconsistent. % 19.20/3.54 | | % 19.20/3.54 | Case 2: % 19.20/3.54 | | % 19.20/3.54 | | (461) all_4_109 = e23 | all_4_109 = e22 | all_4_109 = e20 | all_4_109 = % 19.20/3.54 | | e21 % 19.20/3.54 | | % 19.20/3.55 | | BETA: splitting (198) gives: % 19.20/3.55 | | % 19.20/3.55 | | Case 1: % 19.20/3.55 | | | % 19.20/3.55 | | | (462) all_4_102 = e14 % 19.20/3.55 | | | % 19.20/3.55 | | | REDUCE: (444), (462) imply: % 19.20/3.55 | | | (463) op1(all_4_101, all_4_100) = e14 % 19.20/3.55 | | | % 19.20/3.55 | | | REDUCE: (449), (462) imply: % 19.20/3.55 | | | (464) op1(e14, all_4_101) = all_4_100 % 19.20/3.55 | | | % 19.20/3.55 | | | REDUCE: (450), (462) imply: % 19.20/3.55 | | | (465) op1(e14, e14) = all_4_101 % 19.20/3.55 | | | % 19.20/3.55 | | | REDUCE: (454), (462) imply: % 19.20/3.55 | | | (466) op1(all_4_103, all_4_103) = e14 % 19.20/3.55 | | | % 19.20/3.55 | | | GROUND_INST: instantiating (58) with e12, all_4_101, e14, e14, simplifying % 19.20/3.55 | | | with (29), (465) gives: % 19.20/3.55 | | | (467) all_4_101 = e12 % 19.20/3.55 | | | % 19.20/3.55 | | | REDUCE: (463), (467) imply: % 19.20/3.55 | | | (468) op1(e12, all_4_100) = e14 % 19.20/3.55 | | | % 19.20/3.55 | | | REDUCE: (445), (467) imply: % 19.20/3.55 | | | (469) op1(e12, e12) = all_4_103 % 19.20/3.55 | | | % 19.20/3.55 | | | REDUCE: (464), (467) imply: % 19.20/3.55 | | | (470) op1(e14, e12) = all_4_100 % 19.20/3.55 | | | % 19.20/3.55 | | | GROUND_INST: instantiating (58) with e13, all_4_103, e12, e12, simplifying % 19.20/3.55 | | | with (17), (469) gives: % 19.20/3.55 | | | (471) all_4_103 = e13 % 19.20/3.55 | | | % 19.20/3.55 | | | GROUND_INST: instantiating (58) with e11, all_4_100, e12, e14, simplifying % 19.20/3.55 | | | with (27), (470) gives: % 19.20/3.55 | | | (472) all_4_100 = e11 % 19.20/3.55 | | | % 19.20/3.55 | | | REDUCE: (466), (471) imply: % 19.20/3.55 | | | (473) op1(e13, e13) = e14 % 19.20/3.55 | | | % 19.20/3.55 | | | REF_CLOSE: (1), (15), (23), (58), (468), (472), (473) are inconsistent by % 19.20/3.55 | | | sub-proof #1. % 19.20/3.55 | | | % 19.20/3.55 | | Case 2: % 19.20/3.55 | | | % 19.20/3.55 | | | (474) ~ (all_4_102 = e14) % 19.20/3.55 | | | (475) all_4_102 = e13 | all_4_102 = e12 | all_4_102 = e10 | all_4_102 = % 19.20/3.55 | | | e11 % 19.20/3.55 | | | % 19.20/3.55 | | | BETA: splitting (199) gives: % 19.20/3.55 | | | % 19.20/3.55 | | | Case 1: % 19.20/3.55 | | | | % 19.20/3.55 | | | | (476) all_4_101 = e14 % 19.20/3.55 | | | | % 19.20/3.55 | | | | REDUCE: (444), (476) imply: % 19.20/3.55 | | | | (477) op1(e14, all_4_100) = all_4_102 % 19.20/3.55 | | | | % 19.20/3.55 | | | | REDUCE: (445), (476) imply: % 19.20/3.55 | | | | (478) op1(e14, e14) = all_4_103 % 19.20/3.55 | | | | % 19.20/3.55 | | | | REDUCE: (446), (476) imply: % 19.20/3.55 | | | | (479) op1(e14, all_4_103) = all_4_100 % 19.20/3.55 | | | | % 19.20/3.55 | | | | REDUCE: (447), (476) imply: % 19.20/3.55 | | | | (480) op1(e14, all_4_104) = e14 % 19.20/3.55 | | | | % 19.20/3.55 | | | | REDUCE: (450), (476) imply: % 19.20/3.55 | | | | (481) op1(all_4_102, all_4_102) = e14 % 19.20/3.55 | | | | % 19.20/3.55 | | | | REDUCE: (451), (476) imply: % 19.20/3.55 | | | | (482) op1(all_4_103, all_4_100) = e14 % 19.20/3.55 | | | | % 19.20/3.55 | | | | REDUCE: (452), (476) imply: % 19.20/3.55 | | | | (483) op1(all_4_103, e14) = all_4_104 % 19.20/3.55 | | | | % 19.20/3.55 | | | | GROUND_INST: instantiating (58) with e12, all_4_103, e14, e14, % 19.20/3.55 | | | | simplifying with (29), (478) gives: % 19.20/3.55 | | | | (484) all_4_103 = e12 % 19.20/3.55 | | | | % 19.20/3.55 | | | | REDUCE: (482), (484) imply: % 19.20/3.55 | | | | (485) op1(e12, all_4_100) = e14 % 19.20/3.55 | | | | % 19.20/3.55 | | | | REDUCE: (454), (484) imply: % 19.20/3.55 | | | | (486) op1(e12, e12) = all_4_102 % 19.20/3.55 | | | | % 19.20/3.55 | | | | REDUCE: (455), (484) imply: % 19.20/3.55 | | | | (487) op1(e12, all_4_104) = e12 % 19.20/3.55 | | | | % 19.20/3.55 | | | | REDUCE: (483), (484) imply: % 19.20/3.55 | | | | (488) op1(e12, e14) = all_4_104 % 19.20/3.55 | | | | % 19.20/3.55 | | | | REDUCE: (479), (484) imply: % 19.20/3.55 | | | | (489) op1(e14, e12) = all_4_100 % 19.20/3.55 | | | | % 19.20/3.55 | | | | GROUND_INST: instantiating (58) with e13, all_4_102, e12, e12, % 19.20/3.55 | | | | simplifying with (17), (486) gives: % 19.20/3.55 | | | | (490) all_4_102 = e13 % 19.20/3.55 | | | | % 19.20/3.55 | | | | GROUND_INST: instantiating (58) with e11, all_4_104, e14, e12, % 19.20/3.55 | | | | simplifying with (19), (488) gives: % 19.20/3.55 | | | | (491) all_4_104 = e11 % 19.20/3.55 | | | | % 19.20/3.55 | | | | GROUND_INST: instantiating (58) with e11, all_4_100, e12, e14, % 19.20/3.55 | | | | simplifying with (27), (489) gives: % 19.20/3.55 | | | | (492) all_4_100 = e11 % 19.20/3.55 | | | | % 19.20/3.55 | | | | REDUCE: (481), (490) imply: % 19.20/3.55 | | | | (493) op1(e13, e13) = e14 % 19.20/3.55 | | | | % 19.20/3.55 | | | | REDUCE: (480), (491) imply: % 19.20/3.55 | | | | (494) op1(e14, e11) = e14 % 19.20/3.55 | | | | % 19.20/3.55 | | | | REDUCE: (485), (492) imply: % 19.20/3.55 | | | | (495) op1(e12, e11) = e14 % 19.20/3.55 | | | | % 19.20/3.55 | | | | REDUCE: (487), (491) imply: % 19.20/3.55 | | | | (496) op1(e12, e11) = e12 % 19.20/3.55 | | | | % 19.20/3.55 | | | | GROUND_INST: instantiating (58) with e10, e14, e11, e12, simplifying % 19.20/3.55 | | | | with (15), (495) gives: % 19.20/3.55 | | | | (497) e14 = e10 % 19.20/3.55 | | | | % 19.20/3.55 | | | | GROUND_INST: instantiating (58) with e12, e14, e11, e12, simplifying % 19.20/3.55 | | | | with (495), (496) gives: % 19.20/3.55 | | | | (498) e14 = e12 % 19.20/3.55 | | | | % 19.20/3.55 | | | | GROUND_INST: instantiating (58) with e11, e14, e13, e13, simplifying % 19.20/3.55 | | | | with (23), (493) gives: % 19.20/3.55 | | | | (499) e14 = e11 % 19.20/3.55 | | | | % 19.20/3.55 | | | | GROUND_INST: instantiating (58) with e13, e14, e11, e14, simplifying % 19.20/3.55 | | | | with (25), (494) gives: % 19.20/3.55 | | | | (500) e14 = e13 % 19.20/3.55 | | | | % 19.20/3.55 | | | | COMBINE_EQS: (497), (500) imply: % 19.20/3.55 | | | | (501) e13 = e10 % 19.20/3.55 | | | | % 19.20/3.55 | | | | COMBINE_EQS: (499), (500) imply: % 19.20/3.55 | | | | (502) e13 = e11 % 19.20/3.55 | | | | % 19.20/3.55 | | | | COMBINE_EQS: (498), (500) imply: % 19.20/3.55 | | | | (503) e13 = e12 % 19.20/3.55 | | | | % 19.20/3.55 | | | | COMBINE_EQS: (501), (503) imply: % 19.20/3.55 | | | | (504) e12 = e10 % 19.20/3.55 | | | | % 19.20/3.55 | | | | COMBINE_EQS: (502), (503) imply: % 19.20/3.55 | | | | (505) e12 = e11 % 19.20/3.55 | | | | % 19.20/3.55 | | | | COMBINE_EQS: (504), (505) imply: % 19.20/3.55 | | | | (506) e10 = e11 % 19.20/3.55 | | | | % 19.20/3.55 | | | | REDUCE: (1), (506) imply: % 19.20/3.55 | | | | (507) $false % 19.20/3.55 | | | | % 19.20/3.55 | | | | CLOSE: (507) is inconsistent. % 19.20/3.55 | | | | % 19.20/3.55 | | | Case 2: % 19.20/3.55 | | | | % 19.20/3.55 | | | | (508) ~ (all_4_101 = e14) % 19.20/3.55 | | | | (509) all_4_101 = e13 | all_4_101 = e12 | all_4_101 = e10 | all_4_101 % 19.20/3.55 | | | | = e11 % 19.20/3.55 | | | | % 19.20/3.55 | | | | BETA: splitting (195) gives: % 19.20/3.55 | | | | % 19.20/3.55 | | | | Case 1: % 19.20/3.55 | | | | | % 19.20/3.55 | | | | | (510) all_4_108 = e24 % 19.20/3.55 | | | | | % 19.20/3.55 | | | | | REDUCE: (442), (510) imply: % 19.20/3.55 | | | | | (511) op2(e24, e24) = all_4_105 % 19.20/3.55 | | | | | % 19.20/3.55 | | | | | GROUND_INST: instantiating (59) with e20, all_4_105, e24, e24, % 19.20/3.55 | | | | | simplifying with (54), (511) gives: % 19.20/3.55 | | | | | (512) all_4_105 = e20 % 19.20/3.55 | | | | | % 19.20/3.55 | | | | | REDUCE: (136), (512) imply: % 19.20/3.55 | | | | | (513) j(e20) = e14 % 19.20/3.55 | | | | | % 19.20/3.55 | | | | | GROUND_INST: instantiating (56) with all_4_104, e14, e20, simplifying % 19.20/3.55 | | | | | with (131), (513) gives: % 19.20/3.55 | | | | | (514) all_4_104 = e14 % 19.20/3.55 | | | | | % 19.20/3.55 | | | | | REDUCE: (456), (514) imply: % 19.20/3.55 | | | | | (515) op1(e14, e14) = e14 % 19.20/3.55 | | | | | % 19.20/3.55 | | | | | GROUND_INST: instantiating (58) with e12, e14, e14, e14, simplifying % 19.20/3.55 | | | | | with (29), (515) gives: % 19.20/3.55 | | | | | (516) e14 = e12 % 19.20/3.55 | | | | | % 19.20/3.55 | | | | | REDUCE: (2), (516) imply: % 19.20/3.55 | | | | | (517) $false % 19.20/3.55 | | | | | % 19.20/3.55 | | | | | CLOSE: (517) is inconsistent. % 19.20/3.55 | | | | | % 19.20/3.55 | | | | Case 2: % 19.20/3.55 | | | | | % 19.20/3.55 | | | | | (518) ~ (all_4_108 = e24) % 19.20/3.55 | | | | | (519) all_4_108 = e23 | all_4_108 = e22 | all_4_108 = e20 | % 19.20/3.55 | | | | | all_4_108 = e21 % 19.20/3.55 | | | | | % 19.20/3.55 | | | | | BETA: splitting (197) gives: % 19.20/3.55 | | | | | % 19.20/3.55 | | | | | Case 1: % 19.20/3.55 | | | | | | % 19.20/3.55 | | | | | | (520) all_4_103 = e14 % 19.20/3.55 | | | | | | % 19.20/3.55 | | | | | | REDUCE: (445), (520) imply: % 19.20/3.55 | | | | | | (521) op1(all_4_101, all_4_101) = e14 % 19.20/3.55 | | | | | | % 19.20/3.55 | | | | | | REDUCE: (448), (520) imply: % 19.20/3.55 | | | | | | (522) op1(all_4_102, all_4_100) = e14 % 19.20/3.55 | | | | | | % 19.20/3.55 | | | | | | REDUCE: (453), (520) imply: % 19.20/3.55 | | | | | | (523) op1(e14, all_4_102) = all_4_100 % 19.20/3.55 | | | | | | % 19.20/3.55 | | | | | | REDUCE: (454), (520) imply: % 19.20/3.55 | | | | | | (524) op1(e14, e14) = all_4_102 % 19.20/3.55 | | | | | | % 19.20/3.55 | | | | | | GROUND_INST: instantiating (58) with e12, all_4_102, e14, e14, % 19.20/3.55 | | | | | | simplifying with (29), (524) gives: % 19.20/3.55 | | | | | | (525) all_4_102 = e12 % 19.20/3.55 | | | | | | % 19.20/3.55 | | | | | | REDUCE: (522), (525) imply: % 19.20/3.55 | | | | | | (526) op1(e12, all_4_100) = e14 % 19.20/3.55 | | | | | | % 19.20/3.55 | | | | | | REDUCE: (450), (525) imply: % 19.20/3.55 | | | | | | (527) op1(e12, e12) = all_4_101 % 19.20/3.55 | | | | | | % 19.20/3.55 | | | | | | REDUCE: (523), (525) imply: % 19.20/3.55 | | | | | | (528) op1(e14, e12) = all_4_100 % 19.20/3.55 | | | | | | % 19.20/3.55 | | | | | | GROUND_INST: instantiating (58) with e13, all_4_101, e12, e12, % 19.20/3.55 | | | | | | simplifying with (17), (527) gives: % 19.20/3.55 | | | | | | (529) all_4_101 = e13 % 19.20/3.55 | | | | | | % 19.20/3.55 | | | | | | GROUND_INST: instantiating (58) with e11, all_4_100, e12, e14, % 19.20/3.55 | | | | | | simplifying with (27), (528) gives: % 19.20/3.55 | | | | | | (530) all_4_100 = e11 % 19.20/3.55 | | | | | | % 19.20/3.55 | | | | | | REDUCE: (521), (529) imply: % 19.20/3.55 | | | | | | (531) op1(e13, e13) = e14 % 19.20/3.55 | | | | | | % 19.20/3.56 | | | | | | REF_CLOSE: (1), (15), (23), (58), (526), (530), (531) are % 19.20/3.56 | | | | | | inconsistent by sub-proof #1. % 19.20/3.56 | | | | | | % 19.65/3.56 | | | | | Case 2: % 19.65/3.56 | | | | | | % 19.65/3.56 | | | | | | (532) ~ (all_4_103 = e14) % 19.65/3.56 | | | | | | % 19.65/3.56 | | | | | | BETA: splitting (196) gives: % 19.65/3.56 | | | | | | % 19.65/3.56 | | | | | | Case 1: % 19.65/3.56 | | | | | | | % 19.65/3.56 | | | | | | | (533) all_4_105 = e24 % 19.65/3.56 | | | | | | | % 19.65/3.56 | | | | | | | REDUCE: (438), (533) imply: % 19.65/3.56 | | | | | | | (534) op2(e24, e24) = all_4_107 % 19.65/3.56 | | | | | | | % 19.65/3.56 | | | | | | | REDUCE: (439), (533) imply: % 19.65/3.56 | | | | | | | (535) op2(e24, all_4_107) = all_4_108 % 19.65/3.56 | | | | | | | % 19.65/3.56 | | | | | | | GROUND_INST: instantiating (59) with e20, all_4_107, e24, e24, % 19.65/3.56 | | | | | | | simplifying with (54), (534) gives: % 19.65/3.56 | | | | | | | (536) all_4_107 = e20 % 19.65/3.56 | | | | | | | % 19.65/3.56 | | | | | | | REDUCE: (535), (536) imply: % 19.65/3.56 | | | | | | | (537) op2(e24, e20) = all_4_108 % 19.65/3.56 | | | | | | | % 19.65/3.56 | | | | | | | GROUND_INST: instantiating (59) with e24, all_4_108, e20, e24, % 19.65/3.56 | | | | | | | simplifying with (51), (537) gives: % 19.65/3.56 | | | | | | | (538) all_4_108 = e24 % 19.65/3.56 | | | | | | | % 19.65/3.56 | | | | | | | REDUCE: (518), (538) imply: % 19.65/3.56 | | | | | | | (539) $false % 19.65/3.56 | | | | | | | % 19.65/3.56 | | | | | | | CLOSE: (539) is inconsistent. % 19.65/3.56 | | | | | | | % 19.65/3.56 | | | | | | Case 2: % 19.65/3.56 | | | | | | | % 19.65/3.56 | | | | | | | (540) all_4_105 = e23 | all_4_105 = e22 | all_4_105 = e20 | % 19.65/3.56 | | | | | | | all_4_105 = e21 % 19.65/3.56 | | | | | | | % 19.65/3.56 | | | | | | | BETA: splitting (461) gives: % 19.65/3.56 | | | | | | | % 19.65/3.56 | | | | | | | Case 1: % 19.65/3.56 | | | | | | | | % 19.65/3.56 | | | | | | | | (541) all_4_109 = e23 % 19.65/3.56 | | | | | | | | % 19.65/3.56 | | | | | | | | REDUCE: (443), (541) imply: % 19.65/3.56 | | | | | | | | (542) op2(e23, e23) = e23 % 19.65/3.56 | | | | | | | | % 19.65/3.56 | | | | | | | | GROUND_INST: instantiating (59) with e21, e23, e23, e23, % 19.65/3.56 | | | | | | | | simplifying with (48), (542) gives: % 19.65/3.56 | | | | | | | | (543) e23 = e21 % 19.65/3.56 | | | | | | | | % 19.65/3.56 | | | | | | | | REDUCE: (3), (543) imply: % 19.65/3.56 | | | | | | | | (544) $false % 19.65/3.56 | | | | | | | | % 19.65/3.56 | | | | | | | | CLOSE: (544) is inconsistent. % 19.65/3.56 | | | | | | | | % 19.65/3.56 | | | | | | | Case 2: % 19.65/3.56 | | | | | | | | % 19.65/3.56 | | | | | | | | (545) ~ (all_4_109 = e23) % 19.65/3.56 | | | | | | | | (546) all_4_109 = e22 | all_4_109 = e20 | all_4_109 = e21 % 19.65/3.56 | | | | | | | | % 19.65/3.56 | | | | | | | | BETA: splitting (475) gives: % 19.65/3.56 | | | | | | | | % 19.65/3.56 | | | | | | | | Case 1: % 19.65/3.56 | | | | | | | | | % 19.65/3.56 | | | | | | | | | (547) all_4_102 = e13 % 19.65/3.56 | | | | | | | | | % 19.65/3.56 | | | | | | | | | REDUCE: (450), (547) imply: % 19.65/3.56 | | | | | | | | | (548) op1(e13, e13) = all_4_101 % 19.65/3.56 | | | | | | | | | % 19.65/3.56 | | | | | | | | | GROUND_INST: instantiating (58) with e11, all_4_101, e13, e13, % 19.65/3.56 | | | | | | | | | simplifying with (23), (548) gives: % 19.65/3.56 | | | | | | | | | (549) all_4_101 = e11 % 19.65/3.56 | | | | | | | | | % 19.65/3.56 | | | | | | | | | REDUCE: (445), (549) imply: % 19.65/3.56 | | | | | | | | | (550) op1(e11, e11) = all_4_103 % 19.65/3.56 | | | | | | | | | % 19.65/3.56 | | | | | | | | | GROUND_INST: instantiating (58) with e14, all_4_103, e11, e11, % 19.65/3.56 | | | | | | | | | simplifying with (5), (550) gives: % 19.65/3.56 | | | | | | | | | (551) all_4_103 = e14 % 19.65/3.56 | | | | | | | | | % 19.65/3.56 | | | | | | | | | REDUCE: (532), (551) imply: % 19.65/3.56 | | | | | | | | | (552) $false % 19.65/3.56 | | | | | | | | | % 19.65/3.56 | | | | | | | | | CLOSE: (552) is inconsistent. % 19.65/3.56 | | | | | | | | | % 19.65/3.56 | | | | | | | | Case 2: % 19.65/3.56 | | | | | | | | | % 19.65/3.56 | | | | | | | | | (553) all_4_102 = e12 | all_4_102 = e10 | all_4_102 = e11 % 19.65/3.56 | | | | | | | | | % 19.65/3.56 | | | | | | | | | BETA: splitting (509) gives: % 19.65/3.56 | | | | | | | | | % 19.65/3.56 | | | | | | | | | Case 1: % 19.65/3.56 | | | | | | | | | | % 19.65/3.56 | | | | | | | | | | (554) all_4_101 = e13 % 19.65/3.56 | | | | | | | | | | % 19.65/3.56 | | | | | | | | | | REDUCE: (445), (554) imply: % 19.65/3.56 | | | | | | | | | | (555) op1(e13, e13) = all_4_103 % 19.65/3.56 | | | | | | | | | | % 19.65/3.56 | | | | | | | | | | GROUND_INST: instantiating (58) with e11, all_4_103, e13, e13, % 19.65/3.56 | | | | | | | | | | simplifying with (23), (555) gives: % 19.65/3.56 | | | | | | | | | | (556) all_4_103 = e11 % 19.65/3.56 | | | | | | | | | | % 19.65/3.56 | | | | | | | | | | REDUCE: (454), (556) imply: % 19.65/3.56 | | | | | | | | | | (557) op1(e11, e11) = all_4_102 % 19.65/3.56 | | | | | | | | | | % 19.65/3.56 | | | | | | | | | | GROUND_INST: instantiating (58) with e14, all_4_102, e11, e11, % 19.65/3.56 | | | | | | | | | | simplifying with (5), (557) gives: % 19.65/3.56 | | | | | | | | | | (558) all_4_102 = e14 % 19.65/3.56 | | | | | | | | | | % 19.65/3.56 | | | | | | | | | | REDUCE: (474), (558) imply: % 19.65/3.56 | | | | | | | | | | (559) $false % 19.65/3.56 | | | | | | | | | | % 19.65/3.56 | | | | | | | | | | CLOSE: (559) is inconsistent. % 19.65/3.56 | | | | | | | | | | % 19.65/3.56 | | | | | | | | | Case 2: % 19.65/3.56 | | | | | | | | | | % 19.65/3.56 | | | | | | | | | | (560) ~ (all_4_101 = e13) % 19.65/3.56 | | | | | | | | | | % 19.65/3.56 | | | | | | | | | | BETA: splitting (519) gives: % 19.65/3.56 | | | | | | | | | | % 19.65/3.56 | | | | | | | | | | Case 1: % 19.65/3.56 | | | | | | | | | | | % 19.65/3.56 | | | | | | | | | | | (561) all_4_108 = e23 % 19.65/3.56 | | | | | | | | | | | % 19.65/3.56 | | | | | | | | | | | REDUCE: (440), (561) imply: % 19.65/3.56 | | | | | | | | | | | (562) op2(all_4_105, e23) = all_4_106 % 19.65/3.56 | | | | | | | | | | | % 19.65/3.56 | | | | | | | | | | | REDUCE: (441), (561) imply: % 19.65/3.56 | | | | | | | | | | | (563) op2(e23, all_4_105) = all_4_106 % 19.65/3.56 | | | | | | | | | | | % 19.65/3.56 | | | | | | | | | | | REDUCE: (442), (561) imply: % 19.65/3.56 | | | | | | | | | | | (564) op2(e23, e23) = all_4_105 % 19.65/3.56 | | | | | | | | | | | % 19.65/3.56 | | | | | | | | | | | GROUND_INST: instantiating (59) with e21, all_4_105, e23, e23, % 19.65/3.56 | | | | | | | | | | | simplifying with (48), (564) gives: % 19.65/3.56 | | | | | | | | | | | (565) all_4_105 = e21 % 19.65/3.56 | | | | | | | | | | | % 19.65/3.56 | | | | | | | | | | | REDUCE: (562), (565) imply: % 19.65/3.56 | | | | | | | | | | | (566) op2(e21, e23) = all_4_106 % 19.65/3.56 | | | | | | | | | | | % 19.65/3.56 | | | | | | | | | | | REDUCE: (563), (565) imply: % 19.65/3.56 | | | | | | | | | | | (567) op2(e23, e21) = all_4_106 % 19.65/3.56 | | | | | | | | | | | % 19.65/3.56 | | | | | | | | | | | GROUND_INST: instantiating (59) with e20, all_4_106, e23, e21, % 19.65/3.56 | | | | | | | | | | | simplifying with (33), (566) gives: % 19.65/3.56 | | | | | | | | | | | (568) all_4_106 = e20 % 19.65/3.56 | | | | | | | | | | | % 19.65/3.56 | | | | | | | | | | | GROUND_INST: instantiating (59) with e24, all_4_106, e21, e23, % 19.65/3.56 | | | | | | | | | | | simplifying with (45), (567) gives: % 19.65/3.56 | | | | | | | | | | | (569) all_4_106 = e24 % 19.65/3.56 | | | | | | | | | | | % 19.65/3.56 | | | | | | | | | | | COMBINE_EQS: (568), (569) imply: % 19.65/3.56 | | | | | | | | | | | (570) e24 = e20 % 19.65/3.56 | | | | | | | | | | | % 19.65/3.56 | | | | | | | | | | | SIMP: (570) implies: % 19.65/3.56 | | | | | | | | | | | (571) e24 = e20 % 19.65/3.56 | | | | | | | | | | | % 19.65/3.56 | | | | | | | | | | | REDUCE: (4), (571) imply: % 19.65/3.56 | | | | | | | | | | | (572) $false % 19.65/3.56 | | | | | | | | | | | % 19.65/3.56 | | | | | | | | | | | CLOSE: (572) is inconsistent. % 19.65/3.56 | | | | | | | | | | | % 19.65/3.56 | | | | | | | | | | Case 2: % 19.65/3.56 | | | | | | | | | | | % 19.65/3.56 | | | | | | | | | | | (573) all_4_108 = e22 | all_4_108 = e20 | all_4_108 = % 19.65/3.56 | | | | | | | | | | | e21 % 19.65/3.56 | | | | | | | | | | | % 19.65/3.56 | | | | | | | | | | | BETA: splitting (540) gives: % 19.65/3.56 | | | | | | | | | | | % 19.65/3.56 | | | | | | | | | | | Case 1: % 19.65/3.56 | | | | | | | | | | | | % 19.65/3.56 | | | | | | | | | | | | (574) all_4_105 = e23 % 19.65/3.56 | | | | | | | | | | | | % 19.65/3.56 | | | | | | | | | | | | REDUCE: (136), (574) imply: % 19.65/3.56 | | | | | | | | | | | | (575) j(e23) = e14 % 19.65/3.56 | | | | | | | | | | | | % 19.65/3.56 | | | | | | | | | | | | GROUND_INST: instantiating (56) with all_4_101, e14, e23, % 19.65/3.56 | | | | | | | | | | | | simplifying with (133), (575) gives: % 19.65/3.56 | | | | | | | | | | | | (576) all_4_101 = e14 % 19.65/3.56 | | | | | | | | | | | | % 19.65/3.56 | | | | | | | | | | | | REDUCE: (508), (576) imply: % 19.65/3.56 | | | | | | | | | | | | (577) $false % 19.65/3.56 | | | | | | | | | | | | % 19.65/3.56 | | | | | | | | | | | | CLOSE: (577) is inconsistent. % 19.65/3.56 | | | | | | | | | | | | % 19.65/3.56 | | | | | | | | | | | Case 2: % 19.65/3.56 | | | | | | | | | | | | % 19.65/3.56 | | | | | | | | | | | | (578) ~ (all_4_105 = e23) % 19.65/3.56 | | | | | | | | | | | | % 19.65/3.56 | | | | | | | | | | | | BETA: splitting (546) gives: % 19.65/3.56 | | | | | | | | | | | | % 19.65/3.56 | | | | | | | | | | | | Case 1: % 19.65/3.56 | | | | | | | | | | | | | % 19.65/3.56 | | | | | | | | | | | | | (579) all_4_109 = e22 % 19.65/3.56 | | | | | | | | | | | | | % 19.65/3.56 | | | | | | | | | | | | | REDUCE: (545), (579) imply: % 19.65/3.56 | | | | | | | | | | | | | (580) ~ (e23 = e22) % 19.65/3.56 | | | | | | | | | | | | | % 19.65/3.56 | | | | | | | | | | | | | SIMP: (580) implies: % 19.65/3.56 | | | | | | | | | | | | | (581) ~ (e23 = e22) % 19.65/3.56 | | | | | | | | | | | | | % 19.65/3.56 | | | | | | | | | | | | | REDUCE: (443), (579) imply: % 19.65/3.56 | | | | | | | | | | | | | (582) op2(e22, e22) = e22 % 19.65/3.56 | | | | | | | | | | | | | % 19.65/3.56 | | | | | | | | | | | | | GROUND_INST: instantiating (59) with e23, e22, e22, e22, % 19.65/3.56 | | | | | | | | | | | | | simplifying with (42), (582) gives: % 19.65/3.56 | | | | | | | | | | | | | (583) e23 = e22 % 19.65/3.56 | | | | | | | | | | | | | % 19.65/3.56 | | | | | | | | | | | | | REDUCE: (581), (583) imply: % 19.65/3.56 | | | | | | | | | | | | | (584) $false % 19.65/3.56 | | | | | | | | | | | | | % 19.65/3.56 | | | | | | | | | | | | | CLOSE: (584) is inconsistent. % 19.65/3.56 | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | Case 2: % 19.65/3.57 | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | (585) ~ (all_4_109 = e22) % 19.65/3.57 | | | | | | | | | | | | | (586) all_4_109 = e20 | all_4_109 = e21 % 19.65/3.57 | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | BETA: splitting (553) gives: % 19.65/3.57 | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | Case 1: % 19.65/3.57 | | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | | (587) all_4_102 = e12 % 19.65/3.57 | | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | | REDUCE: (450), (587) imply: % 19.65/3.57 | | | | | | | | | | | | | | (588) op1(e12, e12) = all_4_101 % 19.65/3.57 | | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e13, all_4_101, e12, e12, % 19.65/3.57 | | | | | | | | | | | | | | simplifying with (17), (588) gives: % 19.65/3.57 | | | | | | | | | | | | | | (589) all_4_101 = e13 % 19.65/3.57 | | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | | REDUCE: (560), (589) imply: % 19.65/3.57 | | | | | | | | | | | | | | (590) $false % 19.65/3.57 | | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | | CLOSE: (590) is inconsistent. % 19.65/3.57 | | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | Case 2: % 19.65/3.57 | | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | | (591) all_4_102 = e10 | all_4_102 = e11 % 19.65/3.57 | | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | | BETA: splitting (573) gives: % 19.65/3.57 | | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | | Case 1: % 19.65/3.57 | | | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | | | (592) all_4_108 = e22 % 19.65/3.57 | | | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | | | REDUCE: (442), (592) imply: % 19.65/3.57 | | | | | | | | | | | | | | | (593) op2(e22, e22) = all_4_105 % 19.65/3.57 | | | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | | | GROUND_INST: instantiating (59) with e23, all_4_105, e22, e22, % 19.65/3.57 | | | | | | | | | | | | | | | simplifying with (42), (593) gives: % 19.65/3.57 | | | | | | | | | | | | | | | (594) all_4_105 = e23 % 19.65/3.57 | | | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | | | REDUCE: (578), (594) imply: % 19.65/3.57 | | | | | | | | | | | | | | | (595) $false % 19.65/3.57 | | | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | | | CLOSE: (595) is inconsistent. % 19.65/3.57 | | | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | | Case 2: % 19.65/3.57 | | | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | | | (596) ~ (all_4_108 = e22) % 19.65/3.57 | | | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | | | BETA: splitting (586) gives: % 19.65/3.57 | | | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | | | Case 1: % 19.65/3.57 | | | | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | | | | (597) all_4_109 = e20 % 19.65/3.57 | | | | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | | | | REDUCE: (585), (597) imply: % 19.65/3.57 | | | | | | | | | | | | | | | | (598) ~ (e22 = e20) % 19.65/3.57 | | | | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | | | | SIMP: (598) implies: % 19.65/3.57 | | | | | | | | | | | | | | | | (599) ~ (e22 = e20) % 19.65/3.57 | | | | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | | | | REDUCE: (135), (597) imply: % 19.65/3.57 | | | | | | | | | | | | | | | | (600) j(e20) = e10 % 19.65/3.57 | | | | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with all_4_104, e10, e20, % 19.65/3.57 | | | | | | | | | | | | | | | | simplifying with (131), (600) gives: % 19.65/3.57 | | | | | | | | | | | | | | | | (601) all_4_104 = e10 % 19.65/3.57 | | | | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | | | | REDUCE: (167), (601) imply: % 19.65/3.57 | | | | | | | | | | | | | | | | (602) h(e10) = e20 % 19.65/3.57 | | | | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | | | | BETA: splitting (591) gives: % 19.65/3.57 | | | | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | | | | Case 1: % 19.65/3.57 | | | | | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | | | | | (603) all_4_102 = e10 % 19.65/3.57 | | | | | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | | | | | REDUCE: (168), (603) imply: % 19.65/3.57 | | | | | | | | | | | | | | | | | (604) h(e10) = e22 % 19.65/3.57 | | | | | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with e20, e22, e10, simplifying % 19.65/3.57 | | | | | | | | | | | | | | | | | with (602), (604) gives: % 19.65/3.57 | | | | | | | | | | | | | | | | | (605) e22 = e20 % 19.65/3.57 | | | | | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | | | | | REDUCE: (599), (605) imply: % 19.65/3.57 | | | | | | | | | | | | | | | | | (606) $false % 19.65/3.57 | | | | | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | | | | | CLOSE: (606) is inconsistent. % 19.65/3.57 | | | | | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | | | | Case 2: % 19.65/3.57 | | | | | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | | | | | (607) all_4_102 = e11 % 19.65/3.57 | | | | | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | | | | | REDUCE: (168), (607) imply: % 19.65/3.57 | | | | | | | | | | | | | | | | | (608) h(e11) = e22 % 19.65/3.57 | | | | | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_4_108, e22, e11, % 19.65/3.57 | | | | | | | | | | | | | | | | | simplifying with (162), (608) gives: % 19.65/3.57 | | | | | | | | | | | | | | | | | (609) all_4_108 = e22 % 19.65/3.57 | | | | | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | | | | | REDUCE: (596), (609) imply: % 19.65/3.57 | | | | | | | | | | | | | | | | | (610) $false % 19.65/3.57 | | | | | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | | | | | CLOSE: (610) is inconsistent. % 19.65/3.57 | | | | | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | | | | End of split % 19.65/3.57 | | | | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | | | Case 2: % 19.65/3.57 | | | | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | | | | (611) all_4_109 = e21 % 19.65/3.57 | | | | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | | | | REDUCE: (585), (611) imply: % 19.65/3.57 | | | | | | | | | | | | | | | | (612) ~ (e22 = e21) % 19.65/3.57 | | | | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | | | | SIMP: (612) implies: % 19.65/3.57 | | | | | | | | | | | | | | | | (613) ~ (e22 = e21) % 19.65/3.57 | | | | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | | | | REDUCE: (443), (611) imply: % 19.65/3.57 | | | | | | | | | | | | | | | | (614) op2(e21, e21) = e21 % 19.65/3.57 | | | | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (59) with e22, e21, e21, e21, % 19.65/3.57 | | | | | | | | | | | | | | | | simplifying with (30), (614) gives: % 19.65/3.57 | | | | | | | | | | | | | | | | (615) e22 = e21 % 19.65/3.57 | | | | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | | | | REDUCE: (613), (615) imply: % 19.65/3.57 | | | | | | | | | | | | | | | | (616) $false % 19.65/3.57 | | | | | | | | | | | | | | | | % 19.65/3.57 | | | | | | | | | | | | | | | | CLOSE: (616) is inconsistent. % 19.65/3.57 | | | | | | | | | | | | | | | | % 19.65/3.58 | | | | | | | | | | | | | | | End of split % 19.65/3.58 | | | | | | | | | | | | | | | % 19.65/3.58 | | | | | | | | | | | | | | End of split % 19.65/3.58 | | | | | | | | | | | | | | % 19.65/3.58 | | | | | | | | | | | | | End of split % 19.65/3.58 | | | | | | | | | | | | | % 19.65/3.58 | | | | | | | | | | | | End of split % 19.65/3.58 | | | | | | | | | | | | % 19.65/3.58 | | | | | | | | | | | End of split % 19.65/3.58 | | | | | | | | | | | % 19.65/3.58 | | | | | | | | | | End of split % 19.65/3.58 | | | | | | | | | | % 19.65/3.58 | | | | | | | | | End of split % 19.65/3.58 | | | | | | | | | % 19.65/3.58 | | | | | | | | End of split % 19.65/3.58 | | | | | | | | % 19.65/3.58 | | | | | | | End of split % 19.65/3.58 | | | | | | | % 19.65/3.58 | | | | | | End of split % 19.65/3.58 | | | | | | % 19.65/3.58 | | | | | End of split % 19.65/3.58 | | | | | % 19.65/3.58 | | | | End of split % 19.65/3.58 | | | | % 19.65/3.58 | | | End of split % 19.65/3.58 | | | % 19.65/3.58 | | End of split % 19.65/3.58 | | % 19.65/3.58 | End of split % 19.65/3.58 | % 19.65/3.58 End of proof % 19.65/3.58 % 19.65/3.58 Sub-proof #1 shows that the following formulas are inconsistent: % 19.65/3.58 ---------------------------------------------------------------- % 19.65/3.58 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 19.65/3.58 (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0)) % 19.65/3.58 (2) op1(e13, e13) = e11 % 19.65/3.58 (3) op1(e12, all_4_100) = e14 % 19.65/3.58 (4) op1(e12, e11) = e10 % 19.65/3.58 (5) ~ (e10 = e11) % 19.65/3.58 (6) op1(e13, e13) = e14 % 19.65/3.58 (7) all_4_100 = e11 % 19.65/3.58 % 19.65/3.58 Begin of proof % 19.65/3.58 | % 19.65/3.58 | REDUCE: (3), (7) imply: % 19.65/3.58 | (8) op1(e12, e11) = e14 % 19.65/3.58 | % 19.65/3.58 | GROUND_INST: instantiating (1) with e10, e14, e11, e12, simplifying with (4), % 19.65/3.58 | (8) gives: % 19.65/3.58 | (9) e14 = e10 % 19.65/3.58 | % 19.65/3.58 | GROUND_INST: instantiating (1) with e11, e14, e13, e13, simplifying with (2), % 19.65/3.58 | (6) gives: % 19.65/3.58 | (10) e14 = e11 % 19.65/3.58 | % 19.65/3.58 | COMBINE_EQS: (9), (10) imply: % 19.65/3.58 | (11) e10 = e11 % 19.65/3.58 | % 19.65/3.58 | REDUCE: (5), (11) imply: % 19.65/3.58 | (12) $false % 19.65/3.58 | % 19.65/3.58 | CLOSE: (12) is inconsistent. % 19.65/3.58 | % 19.65/3.58 End of proof % 19.65/3.58 % SZS output end Proof for theBenchmark % 19.65/3.58 % 19.65/3.58 2976ms %------------------------------------------------------------------------------