%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : NUM848+2 : TPTP v8.1.2. Released v4.1.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n004.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 : Thu Aug 31 11:50:23 EDT 2023 % Result : Theorem 8.06s 1.94s % Output : Proof 12.80s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : NUM848+2 : TPTP v8.1.2. Released v4.1.0. % 0.10/0.11 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.11/0.32 % Computer : n004.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % WCLimit : 300 % 0.11/0.32 % DateTime : Fri Aug 25 12:46:38 EDT 2023 % 0.11/0.32 % CPUTime : % 0.17/0.61 ________ _____ % 0.17/0.61 ___ __ \_________(_)________________________________ % 0.17/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.17/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.17/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.17/0.61 % 0.17/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.17/0.61 (2023-06-19) % 0.17/0.61 % 0.17/0.61 (c) Philipp Rümmer, 2009-2023 % 0.17/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.17/0.61 Amanda Stjerna. % 0.17/0.61 Free software under BSD-3-Clause. % 0.17/0.61 % 0.17/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.17/0.61 % 0.17/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.17/0.62 Running up to 7 provers in parallel. % 0.17/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.17/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.17/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.17/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.17/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.17/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.17/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.40/1.12 Prover 4: Preprocessing ... % 2.40/1.12 Prover 1: Preprocessing ... % 2.52/1.19 Prover 5: Preprocessing ... % 2.52/1.19 Prover 0: Preprocessing ... % 2.52/1.19 Prover 3: Preprocessing ... % 2.52/1.19 Prover 2: Preprocessing ... % 2.52/1.19 Prover 6: Preprocessing ... % 4.29/1.60 Prover 1: Warning: ignoring some quantifiers % 5.98/1.64 Prover 3: Warning: ignoring some quantifiers % 5.98/1.64 Prover 6: Proving ... % 5.98/1.64 Prover 1: Constructing countermodel ... % 5.98/1.65 Prover 3: Constructing countermodel ... % 6.14/1.66 Prover 0: Proving ... % 6.14/1.68 Prover 5: Proving ... % 6.14/1.71 Prover 4: Constructing countermodel ... % 6.14/1.71 Prover 2: Proving ... % 7.66/1.93 Prover 3: proved (1295ms) % 8.06/1.94 % 8.06/1.94 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 8.06/1.94 % 8.06/1.94 Prover 5: stopped % 8.06/1.94 Prover 0: stopped % 8.19/1.95 Prover 6: stopped % 8.19/1.96 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 8.19/1.96 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 8.19/1.96 Prover 2: stopped % 8.19/1.98 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 8.19/1.98 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 8.19/1.98 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 8.19/2.00 Prover 7: Preprocessing ... % 8.19/2.01 Prover 8: Preprocessing ... % 8.19/2.01 Prover 11: Preprocessing ... % 8.19/2.01 Prover 10: Preprocessing ... % 8.71/2.03 Prover 13: Preprocessing ... % 9.02/2.14 Prover 7: Constructing countermodel ... % 9.02/2.14 Prover 10: Constructing countermodel ... % 9.02/2.16 Prover 11: Constructing countermodel ... % 9.02/2.18 Prover 8: Warning: ignoring some quantifiers % 9.02/2.19 Prover 8: Constructing countermodel ... % 9.02/2.25 Prover 13: Warning: ignoring some quantifiers % 9.02/2.26 Prover 13: Constructing countermodel ... % 11.18/2.42 Prover 1: Found proof (size 105) % 11.18/2.42 Prover 1: proved (1788ms) % 11.18/2.42 Prover 8: stopped % 11.18/2.42 Prover 4: stopped % 11.18/2.42 Prover 10: stopped % 11.18/2.42 Prover 7: stopped % 11.18/2.42 Prover 13: stopped % 11.18/2.43 Prover 11: stopped % 11.18/2.43 % 11.18/2.43 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 11.18/2.43 % 11.92/2.49 % SZS output start Proof for theBenchmark % 11.92/2.49 Assumptions after simplification: % 11.92/2.49 --------------------------------- % 11.92/2.49 % 11.92/2.50 (ass(cond(61, 0), 0)) % 12.19/2.54 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (vplus(v0, v1) = v2) | ~ $i(v1) % 12.19/2.54 | ~ $i(v0) | (vplus(v1, v0) = v2 & $i(v2))) % 12.19/2.54 % 12.19/2.54 (holds(284, 438, 1)) % 12.19/2.55 $i(vd437) & $i(vd436) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 12.19/2.55 (vsucc(vd437) = v0 & vmul(vd436, v0) = v1 & vmul(vd436, vd437) = v2 & % 12.19/2.55 vplus(v2, vd436) = v1 & $i(v2) & $i(v1) & $i(v0)) % 12.19/2.55 % 12.19/2.55 (holds(284, 438, 2)) % 12.19/2.55 $i(v1) & $i(vd437) & $i(vd436) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 12.19/2.55 (vmul(vd436, v1) = v2 & vmul(vd436, vd437) = v0 & vplus(v0, v2) = v1 & % 12.19/2.55 vplus(v0, vd436) = v1 & $i(v2) & $i(v1) & $i(v0)) % 12.19/2.55 % 12.19/2.55 (holds(285, 440, 0)) % 12.19/2.55 $i(vd439) & $i(vd437) & $i(vd436) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 12.19/2.55 ? [v3: $i] : (vmul(vd436, v0) = v1 & vmul(vd436, vd439) = v3 & vmul(vd436, % 12.19/2.55 vd437) = v2 & vplus(v2, v3) = v1 & vplus(vd437, vd439) = v0 & $i(v3) & % 12.19/2.55 $i(v2) & $i(v1) & $i(v0)) % 12.19/2.56 % 12.19/2.56 (holds(286, 441, 0)) % 12.19/2.56 $i(vd439) & $i(vd437) & $i(vd436) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 12.19/2.56 ? [v3: $i] : ? [v4: $i] : (vsucc(v3) = v4 & vsucc(vd439) = v0 & vmul(vd436, % 12.19/2.56 v4) = v2 & vmul(vd436, v1) = v2 & vplus(vd437, v0) = v1 & vplus(vd437, % 12.19/2.56 vd439) = v3 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 12.19/2.56 % 12.19/2.56 (holds(286, 441, 1)) % 12.19/2.56 $i(vd439) & $i(vd437) & $i(vd436) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 12.19/2.56 ? [v3: $i] : (vsucc(v0) = v1 & vmul(vd436, v1) = v2 & vmul(vd436, v0) = v3 & % 12.19/2.56 vplus(v3, vd436) = v2 & vplus(vd437, vd439) = v0 & $i(v3) & $i(v2) & $i(v1) % 12.19/2.56 & $i(v0)) % 12.19/2.56 % 12.19/2.56 (holds(286, 441, 2)) % 12.19/2.57 $i(vd439) & $i(vd437) & $i(vd436) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 12.19/2.57 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : (vmul(vd436, v0) = v1 & vmul(vd436, % 12.19/2.57 vd439) = v4 & vmul(vd436, vd437) = v3 & vplus(v5, vd436) = v2 & vplus(v3, % 12.19/2.57 v4) = v5 & vplus(v1, vd436) = v2 & vplus(vd437, vd439) = v0 & $i(v5) & % 12.19/2.57 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 12.19/2.57 % 12.19/2.57 (holds(286, 441, 3)) % 12.19/2.57 $i(vd439) & $i(vd437) & $i(vd436) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 12.19/2.57 ? [v3: $i] : ? [v4: $i] : (vmul(vd436, vd439) = v1 & vmul(vd436, vd437) = v0 % 12.19/2.57 & vplus(v2, vd436) = v3 & vplus(v1, vd436) = v4 & vplus(v0, v4) = v3 & % 12.19/2.57 vplus(v0, v1) = v2 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 12.19/2.57 % 12.19/2.57 (holds(286, 441, 4)) % 12.19/2.57 $i(vd439) & $i(vd437) & $i(vd436) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 12.19/2.57 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ( ~ (v6 = v3) & % 12.19/2.57 vsucc(vd439) = v4 & vmul(vd436, v4) = v5 & vmul(vd436, vd439) = v1 & % 12.19/2.57 vmul(vd436, vd437) = v0 & vplus(v1, vd436) = v2 & vplus(v0, v5) = v6 & % 12.19/2.57 vplus(v0, v2) = v3 & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 12.19/2.57 $i(v0)) % 12.19/2.57 % 12.19/2.57 (qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))) % 12.19/2.58 $i(v1) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 12.19/2.58 (vsucc(v1) = v2) | ~ (vmul(v0, v2) = v3) | ~ $i(v1) | ~ $i(v0) | ? [v4: % 12.19/2.58 $i] : (vmul(v0, v1) = v4 & vplus(v4, v0) = v3 & $i(v4) & $i(v3))) & ? % 12.19/2.58 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~ (vmul(v1, v1) = v2) | ~ % 12.19/2.58 $i(v1) | ~ $i(v0)) % 12.19/2.58 % 12.19/2.58 (function-axioms) % 12.19/2.58 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 12.19/2.58 [v3: $i] : (v1 = v0 | ~ (less(v3, v2) = v1) | ~ (less(v3, v2) = v0)) & ! % 12.19/2.58 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 12.19/2.58 $i] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0)) & ! [v0: % 12.19/2.58 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (vmul(v3, v2) % 12.19/2.58 = v1) | ~ (vmul(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] % 12.19/2.58 : ! [v3: $i] : (v1 = v0 | ~ (vplus(v3, v2) = v1) | ~ (vplus(v3, v2) = v0)) % 12.19/2.58 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (vskolem2(v2) = v1) % 12.19/2.58 | ~ (vskolem2(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = % 12.19/2.58 v0 | ~ (vsucc(v2) = v1) | ~ (vsucc(v2) = v0)) % 12.19/2.58 % 12.19/2.58 Further assumptions not needed in the proof: % 12.19/2.58 -------------------------------------------- % 12.19/2.58 ass(cond(20, 0), 0), ass(cond(241, 0), 0), ass(cond(33, 0), 0), ass(cond(43, 0), % 12.19/2.58 0), ass(cond(52, 0), 0), qu(cond(conseq(axiom(3)), 3), % 12.19/2.58 and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0))) % 12.19/2.58 % 12.19/2.58 Those formulas are unsatisfiable: % 12.19/2.58 --------------------------------- % 12.19/2.58 % 12.19/2.58 Begin of proof % 12.19/2.58 | % 12.19/2.59 | ALPHA: (holds(286, 441, 3)) implies: % 12.19/2.59 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 12.19/2.59 | (vmul(vd436, vd439) = v1 & vmul(vd436, vd437) = v0 & vplus(v2, vd436) = % 12.19/2.59 | v3 & vplus(v1, vd436) = v4 & vplus(v0, v4) = v3 & vplus(v0, v1) = v2 % 12.19/2.59 | & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 12.19/2.59 | % 12.19/2.59 | ALPHA: (holds(286, 441, 2)) implies: % 12.19/2.59 | (2) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 12.19/2.59 | ? [v5: $i] : (vmul(vd436, v0) = v1 & vmul(vd436, vd439) = v4 & % 12.19/2.59 | vmul(vd436, vd437) = v3 & vplus(v5, vd436) = v2 & vplus(v3, v4) = v5 % 12.19/2.59 | & vplus(v1, vd436) = v2 & vplus(vd437, vd439) = v0 & $i(v5) & $i(v4) % 12.19/2.59 | & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 12.19/2.59 | % 12.19/2.59 | ALPHA: (holds(286, 441, 1)) implies: % 12.19/2.59 | (3) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (vsucc(v0) = v1 % 12.19/2.59 | & vmul(vd436, v1) = v2 & vmul(vd436, v0) = v3 & vplus(v3, vd436) = v2 % 12.19/2.59 | & vplus(vd437, vd439) = v0 & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 12.19/2.59 | % 12.19/2.59 | ALPHA: (holds(286, 441, 0)) implies: % 12.19/2.59 | (4) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 12.19/2.59 | (vsucc(v3) = v4 & vsucc(vd439) = v0 & vmul(vd436, v4) = v2 & % 12.19/2.59 | vmul(vd436, v1) = v2 & vplus(vd437, v0) = v1 & vplus(vd437, vd439) = % 12.19/2.59 | v3 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 12.19/2.60 | % 12.19/2.60 | ALPHA: (holds(285, 440, 0)) implies: % 12.19/2.60 | (5) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (vmul(vd436, % 12.19/2.60 | v0) = v1 & vmul(vd436, vd439) = v3 & vmul(vd436, vd437) = v2 & % 12.19/2.60 | vplus(v2, v3) = v1 & vplus(vd437, vd439) = v0 & $i(v3) & $i(v2) & % 12.19/2.60 | $i(v1) & $i(v0)) % 12.19/2.60 | % 12.19/2.60 | ALPHA: (holds(284, 438, 2)) implies: % 12.19/2.60 | (6) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (vmul(vd436, v1) = v2 & % 12.19/2.60 | vmul(vd436, vd437) = v0 & vplus(v0, v2) = v1 & vplus(v0, vd436) = v1 % 12.19/2.60 | & $i(v2) & $i(v1) & $i(v0)) % 12.19/2.60 | % 12.19/2.60 | ALPHA: (holds(284, 438, 1)) implies: % 12.19/2.60 | (7) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (vsucc(vd437) = v0 & % 12.19/2.60 | vmul(vd436, v0) = v1 & vmul(vd436, vd437) = v2 & vplus(v2, vd436) = % 12.19/2.60 | v1 & $i(v2) & $i(v1) & $i(v0)) % 12.19/2.60 | % 12.19/2.60 | ALPHA: (qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), % 12.19/2.60 | holds(definiens(249), 398, 0)))) implies: % 12.19/2.60 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (vsucc(v1) % 12.19/2.60 | = v2) | ~ (vmul(v0, v2) = v3) | ~ $i(v1) | ~ $i(v0) | ? [v4: % 12.19/2.60 | $i] : (vmul(v0, v1) = v4 & vplus(v4, v0) = v3 & $i(v4) & $i(v3))) % 12.19/2.60 | % 12.19/2.60 | ALPHA: (holds(286, 441, 4)) implies: % 12.19/2.60 | (9) $i(vd436) % 12.19/2.60 | (10) $i(vd439) % 12.19/2.60 | (11) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 12.19/2.60 | ? [v5: $i] : ? [v6: $i] : ( ~ (v6 = v3) & vsucc(vd439) = v4 & % 12.19/2.60 | vmul(vd436, v4) = v5 & vmul(vd436, vd439) = v1 & vmul(vd436, vd437) % 12.19/2.60 | = v0 & vplus(v1, vd436) = v2 & vplus(v0, v5) = v6 & vplus(v0, v2) = % 12.19/2.60 | v3 & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 12.19/2.60 | % 12.19/2.60 | ALPHA: (function-axioms) implies: % 12.19/2.61 | (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (vsucc(v2) = % 12.19/2.61 | v1) | ~ (vsucc(v2) = v0)) % 12.19/2.61 | (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 12.19/2.61 | (vplus(v3, v2) = v1) | ~ (vplus(v3, v2) = v0)) % 12.19/2.61 | (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 12.19/2.61 | (vmul(v3, v2) = v1) | ~ (vmul(v3, v2) = v0)) % 12.19/2.61 | % 12.19/2.61 | DELTA: instantiating (7) with fresh symbols all_16_0, all_16_1, all_16_2 % 12.19/2.61 | gives: % 12.53/2.61 | (15) vsucc(vd437) = all_16_2 & vmul(vd436, all_16_2) = all_16_1 & % 12.53/2.61 | vmul(vd436, vd437) = all_16_0 & vplus(all_16_0, vd436) = all_16_1 & % 12.53/2.61 | $i(all_16_0) & $i(all_16_1) & $i(all_16_2) % 12.53/2.61 | % 12.53/2.61 | ALPHA: (15) implies: % 12.53/2.61 | (16) vmul(vd436, vd437) = all_16_0 % 12.53/2.61 | % 12.53/2.61 | DELTA: instantiating (6) with fresh symbols all_18_0, all_18_1, all_18_2 % 12.53/2.61 | gives: % 12.53/2.61 | (17) vmul(vd436, v1) = all_18_0 & vmul(vd436, vd437) = all_18_2 & % 12.53/2.61 | vplus(all_18_2, all_18_0) = all_18_1 & vplus(all_18_2, vd436) = % 12.53/2.61 | all_18_1 & $i(all_18_0) & $i(all_18_1) & $i(all_18_2) % 12.53/2.61 | % 12.53/2.61 | ALPHA: (17) implies: % 12.53/2.61 | (18) $i(all_18_2) % 12.53/2.61 | (19) vmul(vd436, vd437) = all_18_2 % 12.53/2.61 | % 12.53/2.61 | DELTA: instantiating (5) with fresh symbols all_20_0, all_20_1, all_20_2, % 12.53/2.61 | all_20_3 gives: % 12.53/2.61 | (20) vmul(vd436, all_20_3) = all_20_2 & vmul(vd436, vd439) = all_20_0 & % 12.53/2.61 | vmul(vd436, vd437) = all_20_1 & vplus(all_20_1, all_20_0) = all_20_2 & % 12.53/2.61 | vplus(vd437, vd439) = all_20_3 & $i(all_20_0) & $i(all_20_1) & % 12.53/2.61 | $i(all_20_2) & $i(all_20_3) % 12.53/2.61 | % 12.53/2.61 | ALPHA: (20) implies: % 12.53/2.61 | (21) vplus(vd437, vd439) = all_20_3 % 12.53/2.61 | (22) vplus(all_20_1, all_20_0) = all_20_2 % 12.53/2.62 | (23) vmul(vd436, vd437) = all_20_1 % 12.53/2.62 | (24) vmul(vd436, vd439) = all_20_0 % 12.53/2.62 | (25) vmul(vd436, all_20_3) = all_20_2 % 12.53/2.62 | % 12.53/2.62 | DELTA: instantiating (3) with fresh symbols all_22_0, all_22_1, all_22_2, % 12.53/2.62 | all_22_3 gives: % 12.53/2.62 | (26) vsucc(all_22_3) = all_22_2 & vmul(vd436, all_22_2) = all_22_1 & % 12.53/2.62 | vmul(vd436, all_22_3) = all_22_0 & vplus(all_22_0, vd436) = all_22_1 & % 12.53/2.62 | vplus(vd437, vd439) = all_22_3 & $i(all_22_0) & $i(all_22_1) & % 12.53/2.62 | $i(all_22_2) & $i(all_22_3) % 12.53/2.62 | % 12.53/2.62 | ALPHA: (26) implies: % 12.53/2.62 | (27) vplus(vd437, vd439) = all_22_3 % 12.53/2.62 | (28) vplus(all_22_0, vd436) = all_22_1 % 12.53/2.62 | (29) vmul(vd436, all_22_3) = all_22_0 % 12.53/2.62 | % 12.53/2.62 | DELTA: instantiating (4) with fresh symbols all_24_0, all_24_1, all_24_2, % 12.53/2.62 | all_24_3, all_24_4 gives: % 12.53/2.62 | (30) vsucc(all_24_1) = all_24_0 & vsucc(vd439) = all_24_4 & vmul(vd436, % 12.53/2.62 | all_24_0) = all_24_2 & vmul(vd436, all_24_3) = all_24_2 & % 12.53/2.62 | vplus(vd437, all_24_4) = all_24_3 & vplus(vd437, vd439) = all_24_1 & % 12.53/2.62 | $i(all_24_0) & $i(all_24_1) & $i(all_24_2) & $i(all_24_3) & % 12.53/2.62 | $i(all_24_4) % 12.53/2.62 | % 12.53/2.62 | ALPHA: (30) implies: % 12.53/2.62 | (31) vplus(vd437, vd439) = all_24_1 % 12.53/2.62 | (32) vsucc(vd439) = all_24_4 % 12.53/2.62 | % 12.53/2.62 | DELTA: instantiating (1) with fresh symbols all_26_0, all_26_1, all_26_2, % 12.53/2.62 | all_26_3, all_26_4 gives: % 12.53/2.62 | (33) vmul(vd436, vd439) = all_26_3 & vmul(vd436, vd437) = all_26_4 & % 12.53/2.62 | vplus(all_26_2, vd436) = all_26_1 & vplus(all_26_3, vd436) = all_26_0 % 12.53/2.62 | & vplus(all_26_4, all_26_0) = all_26_1 & vplus(all_26_4, all_26_3) = % 12.53/2.62 | all_26_2 & $i(all_26_0) & $i(all_26_1) & $i(all_26_2) & $i(all_26_3) & % 12.53/2.62 | $i(all_26_4) % 12.53/2.62 | % 12.53/2.62 | ALPHA: (33) implies: % 12.53/2.62 | (34) vplus(all_26_4, all_26_3) = all_26_2 % 12.53/2.62 | (35) vplus(all_26_4, all_26_0) = all_26_1 % 12.53/2.62 | (36) vplus(all_26_3, vd436) = all_26_0 % 12.53/2.62 | (37) vplus(all_26_2, vd436) = all_26_1 % 12.53/2.62 | (38) vmul(vd436, vd437) = all_26_4 % 12.53/2.62 | (39) vmul(vd436, vd439) = all_26_3 % 12.53/2.62 | % 12.53/2.62 | DELTA: instantiating (2) with fresh symbols all_28_0, all_28_1, all_28_2, % 12.53/2.62 | all_28_3, all_28_4, all_28_5 gives: % 12.53/2.62 | (40) vmul(vd436, all_28_5) = all_28_4 & vmul(vd436, vd439) = all_28_1 & % 12.53/2.62 | vmul(vd436, vd437) = all_28_2 & vplus(all_28_0, vd436) = all_28_3 & % 12.53/2.62 | vplus(all_28_2, all_28_1) = all_28_0 & vplus(all_28_4, vd436) = % 12.53/2.62 | all_28_3 & vplus(vd437, vd439) = all_28_5 & $i(all_28_0) & % 12.53/2.62 | $i(all_28_1) & $i(all_28_2) & $i(all_28_3) & $i(all_28_4) & % 12.53/2.63 | $i(all_28_5) % 12.53/2.63 | % 12.53/2.63 | ALPHA: (40) implies: % 12.53/2.63 | (41) vplus(vd437, vd439) = all_28_5 % 12.53/2.63 | (42) vplus(all_28_4, vd436) = all_28_3 % 12.53/2.63 | (43) vplus(all_28_2, all_28_1) = all_28_0 % 12.53/2.63 | (44) vmul(vd436, vd437) = all_28_2 % 12.53/2.63 | (45) vmul(vd436, vd439) = all_28_1 % 12.53/2.63 | (46) vmul(vd436, all_28_5) = all_28_4 % 12.53/2.63 | % 12.53/2.63 | DELTA: instantiating (11) with fresh symbols all_30_0, all_30_1, all_30_2, % 12.53/2.63 | all_30_3, all_30_4, all_30_5, all_30_6 gives: % 12.53/2.63 | (47) ~ (all_30_0 = all_30_3) & vsucc(vd439) = all_30_2 & vmul(vd436, % 12.53/2.63 | all_30_2) = all_30_1 & vmul(vd436, vd439) = all_30_5 & vmul(vd436, % 12.53/2.63 | vd437) = all_30_6 & vplus(all_30_5, vd436) = all_30_4 & % 12.53/2.63 | vplus(all_30_6, all_30_1) = all_30_0 & vplus(all_30_6, all_30_4) = % 12.53/2.63 | all_30_3 & $i(all_30_0) & $i(all_30_1) & $i(all_30_2) & $i(all_30_3) & % 12.53/2.63 | $i(all_30_4) & $i(all_30_5) & $i(all_30_6) % 12.53/2.63 | % 12.53/2.63 | ALPHA: (47) implies: % 12.53/2.63 | (48) ~ (all_30_0 = all_30_3) % 12.53/2.63 | (49) $i(all_30_4) % 12.53/2.63 | (50) $i(all_30_1) % 12.53/2.63 | (51) vplus(all_30_6, all_30_4) = all_30_3 % 12.53/2.63 | (52) vplus(all_30_6, all_30_1) = all_30_0 % 12.53/2.63 | (53) vplus(all_30_5, vd436) = all_30_4 % 12.53/2.63 | (54) vmul(vd436, vd437) = all_30_6 % 12.53/2.63 | (55) vmul(vd436, vd439) = all_30_5 % 12.53/2.63 | (56) vmul(vd436, all_30_2) = all_30_1 % 12.53/2.63 | (57) vsucc(vd439) = all_30_2 % 12.53/2.63 | % 12.53/2.63 | GROUND_INST: instantiating (13) with all_22_3, all_24_1, vd439, vd437, % 12.53/2.63 | simplifying with (27), (31) gives: % 12.53/2.63 | (58) all_24_1 = all_22_3 % 12.53/2.63 | % 12.53/2.63 | GROUND_INST: instantiating (13) with all_24_1, all_28_5, vd439, vd437, % 12.53/2.63 | simplifying with (31), (41) gives: % 12.53/2.63 | (59) all_28_5 = all_24_1 % 12.53/2.63 | % 12.53/2.63 | GROUND_INST: instantiating (13) with all_20_3, all_28_5, vd439, vd437, % 12.53/2.63 | simplifying with (21), (41) gives: % 12.53/2.63 | (60) all_28_5 = all_20_3 % 12.53/2.63 | % 12.53/2.63 | GROUND_INST: instantiating (14) with all_18_2, all_26_4, vd437, vd436, % 12.53/2.64 | simplifying with (19), (38) gives: % 12.53/2.64 | (61) all_26_4 = all_18_2 % 12.53/2.64 | % 12.53/2.64 | GROUND_INST: instantiating (14) with all_26_4, all_28_2, vd437, vd436, % 12.53/2.64 | simplifying with (38), (44) gives: % 12.53/2.64 | (62) all_28_2 = all_26_4 % 12.53/2.64 | % 12.53/2.64 | GROUND_INST: instantiating (14) with all_16_0, all_28_2, vd437, vd436, % 12.53/2.64 | simplifying with (16), (44) gives: % 12.53/2.64 | (63) all_28_2 = all_16_0 % 12.53/2.64 | % 12.53/2.64 | GROUND_INST: instantiating (14) with all_26_4, all_30_6, vd437, vd436, % 12.53/2.64 | simplifying with (38), (54) gives: % 12.53/2.64 | (64) all_30_6 = all_26_4 % 12.53/2.64 | % 12.53/2.64 | GROUND_INST: instantiating (14) with all_20_1, all_30_6, vd437, vd436, % 12.53/2.64 | simplifying with (23), (54) gives: % 12.53/2.64 | (65) all_30_6 = all_20_1 % 12.53/2.64 | % 12.53/2.64 | GROUND_INST: instantiating (14) with all_26_3, all_28_1, vd439, vd436, % 12.53/2.64 | simplifying with (39), (45) gives: % 12.53/2.64 | (66) all_28_1 = all_26_3 % 12.53/2.64 | % 12.53/2.64 | GROUND_INST: instantiating (14) with all_28_1, all_30_5, vd439, vd436, % 12.53/2.64 | simplifying with (45), (55) gives: % 12.53/2.64 | (67) all_30_5 = all_28_1 % 12.53/2.64 | % 12.53/2.64 | GROUND_INST: instantiating (14) with all_20_0, all_30_5, vd439, vd436, % 12.53/2.64 | simplifying with (24), (55) gives: % 12.53/2.64 | (68) all_30_5 = all_20_0 % 12.53/2.64 | % 12.53/2.64 | GROUND_INST: instantiating (12) with all_24_4, all_30_2, vd439, simplifying % 12.53/2.64 | with (32), (57) gives: % 12.53/2.64 | (69) all_30_2 = all_24_4 % 12.53/2.64 | % 12.53/2.64 | COMBINE_EQS: (67), (68) imply: % 12.53/2.64 | (70) all_28_1 = all_20_0 % 12.53/2.64 | % 12.53/2.64 | SIMP: (70) implies: % 12.53/2.64 | (71) all_28_1 = all_20_0 % 12.53/2.64 | % 12.53/2.64 | COMBINE_EQS: (64), (65) imply: % 12.53/2.64 | (72) all_26_4 = all_20_1 % 12.53/2.64 | % 12.53/2.64 | SIMP: (72) implies: % 12.53/2.64 | (73) all_26_4 = all_20_1 % 12.53/2.64 | % 12.53/2.64 | COMBINE_EQS: (66), (71) imply: % 12.53/2.64 | (74) all_26_3 = all_20_0 % 12.53/2.64 | % 12.53/2.64 | COMBINE_EQS: (62), (63) imply: % 12.53/2.64 | (75) all_26_4 = all_16_0 % 12.53/2.64 | % 12.53/2.64 | SIMP: (75) implies: % 12.53/2.64 | (76) all_26_4 = all_16_0 % 12.53/2.64 | % 12.53/2.64 | COMBINE_EQS: (59), (60) imply: % 12.53/2.64 | (77) all_24_1 = all_20_3 % 12.53/2.64 | % 12.53/2.64 | SIMP: (77) implies: % 12.53/2.64 | (78) all_24_1 = all_20_3 % 12.53/2.64 | % 12.53/2.64 | COMBINE_EQS: (73), (76) imply: % 12.53/2.64 | (79) all_20_1 = all_16_0 % 12.53/2.64 | % 12.53/2.64 | COMBINE_EQS: (61), (73) imply: % 12.53/2.64 | (80) all_20_1 = all_18_2 % 12.53/2.64 | % 12.53/2.64 | COMBINE_EQS: (58), (78) imply: % 12.53/2.64 | (81) all_22_3 = all_20_3 % 12.53/2.64 | % 12.53/2.64 | COMBINE_EQS: (79), (80) imply: % 12.53/2.64 | (82) all_18_2 = all_16_0 % 12.53/2.64 | % 12.53/2.64 | SIMP: (82) implies: % 12.53/2.64 | (83) all_18_2 = all_16_0 % 12.53/2.64 | % 12.53/2.64 | COMBINE_EQS: (65), (79) imply: % 12.53/2.64 | (84) all_30_6 = all_16_0 % 12.53/2.64 | % 12.53/2.64 | REDUCE: (56), (69) imply: % 12.53/2.65 | (85) vmul(vd436, all_24_4) = all_30_1 % 12.53/2.65 | % 12.53/2.65 | REDUCE: (46), (60) imply: % 12.53/2.65 | (86) vmul(vd436, all_20_3) = all_28_4 % 12.53/2.65 | % 12.53/2.65 | REDUCE: (29), (81) imply: % 12.53/2.65 | (87) vmul(vd436, all_20_3) = all_22_0 % 12.53/2.65 | % 12.53/2.65 | REDUCE: (53), (68) imply: % 12.53/2.65 | (88) vplus(all_20_0, vd436) = all_30_4 % 12.53/2.65 | % 12.53/2.65 | REDUCE: (52), (84) imply: % 12.53/2.65 | (89) vplus(all_16_0, all_30_1) = all_30_0 % 12.53/2.65 | % 12.53/2.65 | REDUCE: (51), (84) imply: % 12.53/2.65 | (90) vplus(all_16_0, all_30_4) = all_30_3 % 12.53/2.65 | % 12.53/2.65 | REDUCE: (43), (63), (71) imply: % 12.53/2.65 | (91) vplus(all_16_0, all_20_0) = all_28_0 % 12.53/2.65 | % 12.53/2.65 | REDUCE: (36), (74) imply: % 12.53/2.65 | (92) vplus(all_20_0, vd436) = all_26_0 % 12.53/2.65 | % 12.53/2.65 | REDUCE: (35), (76) imply: % 12.53/2.65 | (93) vplus(all_16_0, all_26_0) = all_26_1 % 12.53/2.65 | % 12.53/2.65 | REDUCE: (34), (74), (76) imply: % 12.53/2.65 | (94) vplus(all_16_0, all_20_0) = all_26_2 % 12.53/2.65 | % 12.53/2.65 | REDUCE: (22), (79) imply: % 12.53/2.65 | (95) vplus(all_16_0, all_20_0) = all_20_2 % 12.53/2.65 | % 12.53/2.65 | REDUCE: (18), (83) imply: % 12.53/2.65 | (96) $i(all_16_0) % 12.53/2.65 | % 12.53/2.65 | GROUND_INST: instantiating (13) with all_26_2, all_28_0, all_20_0, all_16_0, % 12.53/2.65 | simplifying with (91), (94) gives: % 12.53/2.65 | (97) all_28_0 = all_26_2 % 12.53/2.65 | % 12.53/2.65 | GROUND_INST: instantiating (13) with all_20_2, all_28_0, all_20_0, all_16_0, % 12.53/2.65 | simplifying with (91), (95) gives: % 12.53/2.65 | (98) all_28_0 = all_20_2 % 12.53/2.65 | % 12.53/2.65 | GROUND_INST: instantiating (13) with all_26_0, all_30_4, vd436, all_20_0, % 12.53/2.65 | simplifying with (88), (92) gives: % 12.53/2.65 | (99) all_30_4 = all_26_0 % 12.53/2.65 | % 12.53/2.65 | GROUND_INST: instantiating (14) with all_20_2, all_28_4, all_20_3, vd436, % 12.53/2.65 | simplifying with (25), (86) gives: % 12.53/2.65 | (100) all_28_4 = all_20_2 % 12.53/2.65 | % 12.53/2.65 | GROUND_INST: instantiating (14) with all_22_0, all_28_4, all_20_3, vd436, % 12.53/2.65 | simplifying with (86), (87) gives: % 12.53/2.65 | (101) all_28_4 = all_22_0 % 12.53/2.65 | % 12.53/2.65 | COMBINE_EQS: (97), (98) imply: % 12.53/2.65 | (102) all_26_2 = all_20_2 % 12.53/2.65 | % 12.53/2.65 | SIMP: (102) implies: % 12.53/2.65 | (103) all_26_2 = all_20_2 % 12.53/2.65 | % 12.53/2.65 | COMBINE_EQS: (100), (101) imply: % 12.53/2.65 | (104) all_22_0 = all_20_2 % 12.53/2.65 | % 12.53/2.65 | REDUCE: (42), (100) imply: % 12.53/2.66 | (105) vplus(all_20_2, vd436) = all_28_3 % 12.53/2.66 | % 12.53/2.66 | REDUCE: (37), (103) imply: % 12.53/2.66 | (106) vplus(all_20_2, vd436) = all_26_1 % 12.53/2.66 | % 12.53/2.66 | REDUCE: (28), (104) imply: % 12.53/2.66 | (107) vplus(all_20_2, vd436) = all_22_1 % 12.53/2.66 | % 12.53/2.66 | REDUCE: (90), (99) imply: % 12.53/2.66 | (108) vplus(all_16_0, all_26_0) = all_30_3 % 12.53/2.66 | % 12.53/2.66 | REDUCE: (49), (99) imply: % 12.53/2.66 | (109) $i(all_26_0) % 12.53/2.66 | % 12.53/2.66 | GROUND_INST: instantiating (13) with all_26_1, all_30_3, all_26_0, all_16_0, % 12.53/2.66 | simplifying with (93), (108) gives: % 12.53/2.66 | (110) all_30_3 = all_26_1 % 12.53/2.66 | % 12.53/2.66 | GROUND_INST: instantiating (13) with all_26_1, all_28_3, vd436, all_20_2, % 12.53/2.66 | simplifying with (105), (106) gives: % 12.53/2.66 | (111) all_28_3 = all_26_1 % 12.53/2.66 | % 12.53/2.66 | GROUND_INST: instantiating (13) with all_22_1, all_28_3, vd436, all_20_2, % 12.53/2.66 | simplifying with (105), (107) gives: % 12.53/2.66 | (112) all_28_3 = all_22_1 % 12.53/2.66 | % 12.53/2.66 | COMBINE_EQS: (111), (112) imply: % 12.53/2.66 | (113) all_26_1 = all_22_1 % 12.53/2.66 | % 12.53/2.66 | COMBINE_EQS: (110), (113) imply: % 12.53/2.66 | (114) all_30_3 = all_22_1 % 12.53/2.66 | % 12.53/2.66 | REDUCE: (48), (114) imply: % 12.53/2.66 | (115) ~ (all_30_0 = all_22_1) % 12.53/2.66 | % 12.53/2.66 | REDUCE: (93), (113) imply: % 12.53/2.66 | (116) vplus(all_16_0, all_26_0) = all_22_1 % 12.53/2.66 | % 12.53/2.66 | GROUND_INST: instantiating (ass(cond(61, 0), 0)) with all_16_0, all_26_0, % 12.53/2.66 | all_22_1, simplifying with (96), (109), (116) gives: % 12.53/2.66 | (117) vplus(all_26_0, all_16_0) = all_22_1 & $i(all_22_1) % 12.53/2.66 | % 12.53/2.66 | ALPHA: (117) implies: % 12.53/2.66 | (118) vplus(all_26_0, all_16_0) = all_22_1 % 12.53/2.66 | % 12.53/2.66 | GROUND_INST: instantiating (ass(cond(61, 0), 0)) with all_16_0, all_30_1, % 12.53/2.66 | all_30_0, simplifying with (50), (89), (96) gives: % 12.53/2.66 | (119) vplus(all_30_1, all_16_0) = all_30_0 & $i(all_30_0) % 12.53/2.66 | % 12.53/2.66 | ALPHA: (119) implies: % 12.53/2.66 | (120) vplus(all_30_1, all_16_0) = all_30_0 % 12.53/2.66 | % 12.53/2.66 | GROUND_INST: instantiating (8) with vd436, vd439, all_24_4, all_30_1, % 12.53/2.66 | simplifying with (9), (10), (32), (85) gives: % 12.53/2.66 | (121) ? [v0: $i] : (vmul(vd436, vd439) = v0 & vplus(v0, vd436) = all_30_1 % 12.53/2.66 | & $i(v0) & $i(all_30_1)) % 12.53/2.66 | % 12.53/2.66 | DELTA: instantiating (121) with fresh symbol all_52_0 gives: % 12.53/2.66 | (122) vmul(vd436, vd439) = all_52_0 & vplus(all_52_0, vd436) = all_30_1 & % 12.53/2.66 | $i(all_52_0) & $i(all_30_1) % 12.53/2.66 | % 12.53/2.66 | ALPHA: (122) implies: % 12.53/2.67 | (123) vplus(all_52_0, vd436) = all_30_1 % 12.53/2.67 | (124) vmul(vd436, vd439) = all_52_0 % 12.53/2.67 | % 12.53/2.67 | GROUND_INST: instantiating (14) with all_20_0, all_52_0, vd439, vd436, % 12.53/2.67 | simplifying with (24), (124) gives: % 12.80/2.67 | (125) all_52_0 = all_20_0 % 12.80/2.67 | % 12.80/2.67 | REDUCE: (123), (125) imply: % 12.80/2.67 | (126) vplus(all_20_0, vd436) = all_30_1 % 12.80/2.67 | % 12.80/2.67 | GROUND_INST: instantiating (13) with all_26_0, all_30_1, vd436, all_20_0, % 12.80/2.67 | simplifying with (92), (126) gives: % 12.80/2.67 | (127) all_30_1 = all_26_0 % 12.80/2.67 | % 12.80/2.67 | REDUCE: (120), (127) imply: % 12.80/2.67 | (128) vplus(all_26_0, all_16_0) = all_30_0 % 12.80/2.67 | % 12.80/2.67 | GROUND_INST: instantiating (13) with all_22_1, all_30_0, all_16_0, all_26_0, % 12.80/2.67 | simplifying with (118), (128) gives: % 12.80/2.67 | (129) all_30_0 = all_22_1 % 12.80/2.67 | % 12.80/2.67 | REDUCE: (115), (129) imply: % 12.80/2.67 | (130) $false % 12.80/2.67 | % 12.80/2.67 | CLOSE: (130) is inconsistent. % 12.80/2.67 | % 12.80/2.67 End of proof % 12.80/2.67 % SZS output end Proof for theBenchmark % 12.80/2.67 % 12.80/2.67 2064ms %------------------------------------------------------------------------------