%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SWC239+1 : TPTP v8.1.2. Released v2.4.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n014.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 20:50:24 EDT 2023 % Result : Theorem 212.04s 29.37s % Output : Proof 213.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SWC239+1 : TPTP v8.1.2. Released v2.4.0. % 0.00/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.14/0.35 % Computer : n014.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 300 % 0.14/0.36 % DateTime : Mon Aug 28 15:37:01 EDT 2023 % 0.14/0.36 % CPUTime : % 0.22/0.71 ________ _____ % 0.22/0.71 ___ __ \_________(_)________________________________ % 0.22/0.71 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.22/0.71 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.22/0.71 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.22/0.71 % 0.22/0.71 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.22/0.71 (2023-06-19) % 0.22/0.71 % 0.22/0.71 (c) Philipp Rümmer, 2009-2023 % 0.22/0.71 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.22/0.71 Amanda Stjerna. % 0.22/0.71 Free software under BSD-3-Clause. % 0.22/0.71 % 0.22/0.71 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.22/0.71 % 0.22/0.71 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.22/0.72 Running up to 7 provers in parallel. % 0.22/0.74 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.22/0.74 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.22/0.74 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.22/0.74 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.22/0.74 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.22/0.74 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.22/0.74 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 5.51/1.62 Prover 1: Preprocessing ... % 5.51/1.67 Prover 6: Preprocessing ... % 5.51/1.67 Prover 0: Preprocessing ... % 5.51/1.69 Prover 5: Preprocessing ... % 5.51/1.70 Prover 4: Preprocessing ... % 6.29/1.76 Prover 3: Preprocessing ... % 6.29/1.77 Prover 2: Preprocessing ... % 19.49/3.57 Prover 2: Proving ... % 19.49/3.66 Prover 6: Proving ... % 20.26/3.68 Prover 1: Constructing countermodel ... % 20.26/3.70 Prover 5: Constructing countermodel ... % 20.26/3.73 Prover 3: Constructing countermodel ... % 26.25/4.62 Prover 4: Constructing countermodel ... % 30.10/5.01 Prover 0: Proving ... % 73.83/10.76 Prover 2: stopped % 74.01/10.78 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 76.32/11.09 Prover 7: Preprocessing ... % 79.14/11.52 Prover 7: Constructing countermodel ... % 98.64/14.07 Prover 5: stopped % 98.64/14.08 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 100.01/14.35 Prover 8: Preprocessing ... % 105.28/15.00 Prover 8: Warning: ignoring some quantifiers % 105.78/15.02 Prover 8: Constructing countermodel ... % 113.08/16.07 Prover 1: stopped % 113.08/16.09 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 113.08/16.25 Prover 9: Preprocessing ... % 124.25/17.75 Prover 9: Constructing countermodel ... % 127.77/17.98 Prover 6: stopped % 127.77/18.03 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 129.15/18.16 Prover 10: Preprocessing ... % 129.68/18.40 Prover 10: Constructing countermodel ... % 201.97/28.06 Prover 4: stopped % 201.97/28.07 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 203.90/28.26 Prover 11: Preprocessing ... % 210.94/29.14 Prover 10: Found proof (size 79) % 210.94/29.15 Prover 10: proved (11115ms) % 210.94/29.15 Prover 3: stopped % 210.94/29.15 Prover 9: stopped % 210.94/29.15 Prover 8: stopped % 210.94/29.15 Prover 7: stopped % 210.94/29.15 Prover 0: stopped % 211.67/29.34 Prover 11: Constructing countermodel ... % 212.04/29.37 Prover 11: stopped % 212.04/29.37 % 212.04/29.37 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 212.04/29.37 % 212.04/29.39 % SZS output start Proof for theBenchmark % 212.04/29.39 Assumptions after simplification: % 212.04/29.39 --------------------------------- % 212.04/29.40 % 212.04/29.40 (ax17) % 212.04/29.40 $i(nil) & ssList(nil) % 212.04/29.40 % 212.04/29.40 (ax19) % 212.04/29.46 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v2 % 212.04/29.46 | ~ (cons(v4, v1) = v3) | ~ (cons(v2, v0) = v3) | ~ $i(v4) | ~ $i(v2) | % 212.04/29.46 ~ $i(v1) | ~ $i(v0) | ~ ssList(v1) | ~ ssList(v0) | ~ ssItem(v4) | ~ % 212.04/29.46 ssItem(v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! % 212.04/29.46 [v4: $i] : (v1 = v0 | ~ (cons(v4, v1) = v3) | ~ (cons(v2, v0) = v3) | ~ % 212.04/29.46 $i(v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ ssList(v1) | ~ ssList(v0) | % 212.04/29.46 ~ ssItem(v4) | ~ ssItem(v2)) % 212.04/29.46 % 212.04/29.46 (ax20) % 212.04/29.46 $i(nil) & ! [v0: $i] : (v0 = nil | ~ $i(v0) | ~ ssList(v0) | ? [v1: $i] : % 212.04/29.46 ? [v2: $i] : (cons(v2, v1) = v0 & $i(v2) & $i(v1) & ssList(v1) & % 212.04/29.46 ssItem(v2))) % 212.04/29.46 % 212.04/29.46 (ax23) % 212.04/29.46 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (cons(v1, v0) = v2) | ~ $i(v1) % 212.04/29.46 | ~ $i(v0) | ~ ssList(v0) | ~ ssItem(v1) | hd(v2) = v1) % 212.04/29.46 % 212.04/29.46 (ax25) % 212.04/29.47 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (cons(v1, v0) = v2) | ~ $i(v1) % 212.04/29.47 | ~ $i(v0) | ~ ssList(v0) | ~ ssItem(v1) | tl(v2) = v0) % 212.04/29.47 % 212.04/29.47 (ax28) % 212.04/29.47 $i(nil) & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (app(nil, v0) = v1) | ~ % 212.04/29.47 $i(v0) | ~ ssList(v0)) % 212.04/29.47 % 212.04/29.47 (ax4) % 212.04/29.47 $i(nil) & ! [v0: $i] : ! [v1: $i] : ( ~ (cons(v1, nil) = v0) | ~ $i(v1) | % 212.04/29.47 ~ $i(v0) | ~ ssList(v0) | ~ ssItem(v1) | singletonP(v0)) & ! [v0: $i] : ( % 212.04/29.47 ~ $i(v0) | ~ singletonP(v0) | ~ ssList(v0) | ? [v1: $i] : (cons(v1, nil) % 212.04/29.47 = v0 & $i(v1) & ssItem(v1))) % 212.04/29.47 % 212.04/29.47 (ax46) % 212.04/29.47 $i(nil) & ! [v0: $i] : (v0 = nil | ~ $i(v0) | ~ frontsegP(nil, v0) | ~ % 212.04/29.47 ssList(v0)) & ( ~ ssList(nil) | frontsegP(nil, nil)) % 212.04/29.47 % 212.04/29.47 (ax5) % 212.04/29.48 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (app(v1, v2) = v0) | ~ $i(v2) | % 212.04/29.48 ~ $i(v1) | ~ $i(v0) | ~ ssList(v2) | ~ ssList(v1) | ~ ssList(v0) | % 212.04/29.48 frontsegP(v0, v1)) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ % 212.04/29.48 frontsegP(v0, v1) | ~ ssList(v1) | ~ ssList(v0) | ? [v2: $i] : (app(v1, % 212.04/29.48 v2) = v0 & $i(v2) & ssList(v2))) % 212.04/29.48 % 212.04/29.48 (ax55) % 212.04/29.48 ! [v0: $i] : ( ~ $i(v0) | ~ ssList(v0) | segmentP(v0, v0)) % 212.04/29.48 % 212.04/29.48 (ax58) % 212.04/29.48 $i(nil) & ! [v0: $i] : (v0 = nil | ~ $i(v0) | ~ segmentP(nil, v0) | ~ % 212.04/29.48 ssList(v0)) & ( ~ ssList(nil) | segmentP(nil, nil)) % 212.04/29.48 % 212.04/29.48 (ax7) % 212.04/29.48 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 212.04/29.48 (app(v3, v4) = v0) | ~ (app(v2, v1) = v3) | ~ $i(v4) | ~ $i(v2) | ~ % 212.04/29.48 $i(v1) | ~ $i(v0) | ~ ssList(v4) | ~ ssList(v2) | ~ ssList(v1) | ~ % 212.04/29.48 ssList(v0) | segmentP(v0, v1)) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ % 212.04/29.49 $i(v0) | ~ segmentP(v0, v1) | ~ ssList(v1) | ~ ssList(v0) | ? [v2: $i] : % 212.04/29.49 ? [v3: $i] : ? [v4: $i] : (app(v3, v4) = v0 & app(v2, v1) = v3 & $i(v4) & % 212.04/29.49 $i(v3) & $i(v2) & ssList(v4) & ssList(v2))) % 212.04/29.49 % 212.04/29.49 (ax77) % 212.04/29.49 $i(nil) & ! [v0: $i] : ! [v1: $i] : ( ~ (tl(v0) = v1) | ~ $i(v0) | ~ % 212.04/29.49 ssList(v0) | ? [v2: $i] : (hd(v0) = v2 & $i(v2) & ! [v3: $i] : (v3 = v0 | % 212.04/29.49 v3 = nil | v0 = nil | ~ (tl(v3) = v1) | ~ $i(v3) | ~ ssList(v3) | ? % 212.04/29.49 [v4: $i] : ( ~ (v4 = v2) & hd(v3) = v4 & $i(v4))))) % 212.04/29.49 % 212.04/29.49 (ax82) % 212.04/29.49 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 212.04/29.49 (app(v2, v3) = v4) | ~ (app(v0, v1) = v2) | ~ $i(v3) | ~ $i(v1) | ~ % 212.04/29.49 $i(v0) | ~ ssList(v3) | ~ ssList(v1) | ~ ssList(v0) | ? [v5: $i] : % 212.04/29.49 (app(v1, v3) = v5 & app(v0, v5) = v4 & $i(v5) & $i(v4))) % 212.04/29.49 % 212.04/29.49 (ax83) % 212.04/29.49 $i(nil) & ! [v0: $i] : ! [v1: $i] : (v1 = nil | ~ (app(v0, v1) = nil) | ~ % 212.04/29.49 $i(v1) | ~ $i(v0) | ~ ssList(v1) | ~ ssList(v0)) & ! [v0: $i] : ! [v1: % 212.04/29.49 $i] : (v0 = nil | ~ (app(v0, v1) = nil) | ~ $i(v1) | ~ $i(v0) | ~ % 212.04/29.49 ssList(v1) | ~ ssList(v0)) & ! [v0: $i] : (v0 = nil | ~ (app(nil, nil) = % 212.04/29.49 v0) | ~ ssList(nil)) % 212.04/29.49 % 212.04/29.49 (ax86) % 212.04/29.50 $i(nil) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v0 = nil | % 212.04/29.50 ~ (tl(v0) = v1) | ~ (app(v1, v2) = v3) | ~ $i(v2) | ~ $i(v0) | ~ % 212.04/29.50 ssList(v2) | ~ ssList(v0) | ? [v4: $i] : (tl(v4) = v3 & app(v0, v2) = v4 & % 212.04/29.50 $i(v4) & $i(v3))) % 212.04/29.50 % 212.04/29.50 (ax93) % 212.04/29.50 ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ $i(v1) | ~ $i(v0) | ~ leq(v0, v1) % 212.04/29.50 | ~ ssItem(v1) | ~ ssItem(v0) | lt(v0, v1)) & ! [v0: $i] : ! [v1: $i] : % 212.04/29.50 ( ~ $i(v1) | ~ $i(v0) | ~ lt(v0, v1) | ~ ssItem(v1) | ~ ssItem(v0) | % 212.04/29.50 leq(v0, v1)) & ! [v0: $i] : ( ~ $i(v0) | ~ lt(v0, v0) | ~ ssItem(v0)) % 212.04/29.50 % 212.04/29.50 (co1) % 212.04/29.50 $i(nil) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ( ~ (v0 = nil) & cons(v2, % 212.04/29.50 nil) = v0 & $i(v2) & $i(v1) & $i(v0) & memberP(v1, v2) & ssList(v1) & % 212.04/29.50 ssList(v0) & ssItem(v2) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: % 212.04/29.50 $i] : ! [v7: $i] : ( ~ (cons(v3, nil) = v4) | ~ (app(v6, v7) = v0) | ~ % 212.04/29.50 (app(v5, v4) = v6) | ~ $i(v7) | ~ $i(v5) | ~ $i(v3) | ~ ssList(v7) | % 212.04/29.50 ~ ssList(v5) | ~ ssItem(v3) | ? [v8: $i] : ($i(v8) & lt(v3, v8) & % 212.04/29.50 memberP(v7, v8) & memberP(v5, v8) & ssItem(v8) & ~ leq(v3, v8))) & ! % 212.04/29.50 [v3: $i] : (v3 = v2 | ~ $i(v3) | ~ leq(v2, v3) | ~ memberP(v1, v3) | ~ % 212.04/29.50 ssItem(v3))) % 212.04/29.50 % 212.04/29.50 (function-axioms) % 212.04/29.51 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 212.04/29.51 (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : % 212.04/29.51 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (app(v3, v2) = v1) | ~ (app(v3, v2) % 212.04/29.51 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (tl(v2) = % 212.04/29.51 v1) | ~ (tl(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = % 212.04/29.51 v0 | ~ (hd(v2) = v1) | ~ (hd(v2) = v0)) % 212.04/29.51 % 212.04/29.51 Further assumptions not needed in the proof: % 212.04/29.51 -------------------------------------------- % 212.04/29.51 ax1, ax10, ax11, ax12, ax13, ax14, ax15, ax16, ax18, ax2, ax21, ax22, ax24, % 212.04/29.51 ax26, ax27, ax29, ax3, ax30, ax31, ax32, ax33, ax34, ax35, ax36, ax37, ax38, % 212.04/29.51 ax39, ax40, ax41, ax42, ax43, ax44, ax45, ax47, ax48, ax49, ax50, ax51, ax52, % 212.04/29.51 ax53, ax54, ax56, ax57, ax59, ax6, ax60, ax61, ax62, ax63, ax64, ax65, ax66, % 212.04/29.51 ax67, ax68, ax69, ax70, ax71, ax72, ax73, ax74, ax75, ax76, ax78, ax79, ax8, % 212.04/29.51 ax80, ax81, ax84, ax85, ax87, ax88, ax89, ax9, ax90, ax91, ax92, ax94, ax95 % 212.04/29.51 % 212.04/29.51 Those formulas are unsatisfiable: % 212.04/29.51 --------------------------------- % 212.04/29.51 % 212.04/29.51 Begin of proof % 212.04/29.51 | % 212.04/29.51 | ALPHA: (ax4) implies: % 212.04/29.51 | (1) ! [v0: $i] : ( ~ $i(v0) | ~ singletonP(v0) | ~ ssList(v0) | ? [v1: % 212.04/29.51 | $i] : (cons(v1, nil) = v0 & $i(v1) & ssItem(v1))) % 212.04/29.51 | (2) ! [v0: $i] : ! [v1: $i] : ( ~ (cons(v1, nil) = v0) | ~ $i(v1) | ~ % 212.04/29.51 | $i(v0) | ~ ssList(v0) | ~ ssItem(v1) | singletonP(v0)) % 212.04/29.51 | % 212.04/29.51 | ALPHA: (ax5) implies: % 212.04/29.52 | (3) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ frontsegP(v0, % 212.04/29.52 | v1) | ~ ssList(v1) | ~ ssList(v0) | ? [v2: $i] : (app(v1, v2) = % 212.04/29.52 | v0 & $i(v2) & ssList(v2))) % 212.04/29.52 | % 212.04/29.52 | ALPHA: (ax7) implies: % 212.04/29.52 | (4) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ segmentP(v0, % 212.04/29.52 | v1) | ~ ssList(v1) | ~ ssList(v0) | ? [v2: $i] : ? [v3: $i] : % 212.04/29.52 | ? [v4: $i] : (app(v3, v4) = v0 & app(v2, v1) = v3 & $i(v4) & $i(v3) & % 212.04/29.52 | $i(v2) & ssList(v4) & ssList(v2))) % 212.04/29.52 | % 212.04/29.52 | ALPHA: (ax17) implies: % 212.04/29.52 | (5) ssList(nil) % 212.04/29.52 | % 212.04/29.52 | ALPHA: (ax19) implies: % 212.04/29.52 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 212.04/29.52 | (v1 = v0 | ~ (cons(v4, v1) = v3) | ~ (cons(v2, v0) = v3) | ~ $i(v4) % 212.04/29.52 | | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ ssList(v1) | ~ ssList(v0) | % 212.04/29.52 | ~ ssItem(v4) | ~ ssItem(v2)) % 212.04/29.52 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 212.04/29.52 | (v4 = v2 | ~ (cons(v4, v1) = v3) | ~ (cons(v2, v0) = v3) | ~ $i(v4) % 212.04/29.52 | | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ ssList(v1) | ~ ssList(v0) | % 212.04/29.52 | ~ ssItem(v4) | ~ ssItem(v2)) % 212.04/29.52 | % 212.04/29.52 | ALPHA: (ax20) implies: % 212.04/29.52 | (8) ! [v0: $i] : (v0 = nil | ~ $i(v0) | ~ ssList(v0) | ? [v1: $i] : ? % 212.04/29.52 | [v2: $i] : (cons(v2, v1) = v0 & $i(v2) & $i(v1) & ssList(v1) & % 212.04/29.52 | ssItem(v2))) % 212.04/29.53 | % 212.04/29.53 | ALPHA: (ax28) implies: % 212.04/29.53 | (9) ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (app(nil, v0) = v1) | ~ % 212.04/29.53 | $i(v0) | ~ ssList(v0)) % 212.04/29.53 | % 212.04/29.53 | ALPHA: (ax46) implies: % 212.04/29.53 | (10) ~ ssList(nil) | frontsegP(nil, nil) % 212.04/29.53 | % 212.04/29.53 | ALPHA: (ax58) implies: % 212.04/29.53 | (11) ~ ssList(nil) | segmentP(nil, nil) % 212.04/29.53 | % 212.04/29.53 | ALPHA: (ax77) implies: % 212.04/29.53 | (12) ! [v0: $i] : ! [v1: $i] : ( ~ (tl(v0) = v1) | ~ $i(v0) | ~ % 212.04/29.53 | ssList(v0) | ? [v2: $i] : (hd(v0) = v2 & $i(v2) & ! [v3: $i] : (v3 % 212.04/29.53 | = v0 | v3 = nil | v0 = nil | ~ (tl(v3) = v1) | ~ $i(v3) | ~ % 212.04/29.53 | ssList(v3) | ? [v4: $i] : ( ~ (v4 = v2) & hd(v3) = v4 & % 212.04/29.53 | $i(v4))))) % 212.04/29.53 | % 212.04/29.53 | ALPHA: (ax83) implies: % 212.04/29.53 | (13) ! [v0: $i] : (v0 = nil | ~ (app(nil, nil) = v0) | ~ ssList(nil)) % 212.04/29.53 | % 212.04/29.53 | ALPHA: (ax86) implies: % 212.04/29.53 | (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v0 = nil | ~ % 212.04/29.53 | (tl(v0) = v1) | ~ (app(v1, v2) = v3) | ~ $i(v2) | ~ $i(v0) | ~ % 212.04/29.53 | ssList(v2) | ~ ssList(v0) | ? [v4: $i] : (tl(v4) = v3 & app(v0, % 212.04/29.53 | v2) = v4 & $i(v4) & $i(v3))) % 212.04/29.53 | % 212.04/29.53 | ALPHA: (ax93) implies: % 212.04/29.53 | (15) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ lt(v0, v1) | % 212.04/29.53 | ~ ssItem(v1) | ~ ssItem(v0) | leq(v0, v1)) % 212.04/29.53 | % 212.04/29.53 | ALPHA: (co1) implies: % 212.04/29.54 | (16) $i(nil) % 212.04/29.54 | (17) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ( ~ (v0 = nil) & cons(v2, % 212.04/29.54 | nil) = v0 & $i(v2) & $i(v1) & $i(v0) & memberP(v1, v2) & % 212.04/29.54 | ssList(v1) & ssList(v0) & ssItem(v2) & ! [v3: $i] : ! [v4: $i] : % 212.04/29.54 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~ (cons(v3, nil) = v4) | % 212.04/29.54 | ~ (app(v6, v7) = v0) | ~ (app(v5, v4) = v6) | ~ $i(v7) | ~ % 212.04/29.54 | $i(v5) | ~ $i(v3) | ~ ssList(v7) | ~ ssList(v5) | ~ ssItem(v3) % 212.04/29.54 | | ? [v8: $i] : ($i(v8) & lt(v3, v8) & memberP(v7, v8) & % 212.04/29.54 | memberP(v5, v8) & ssItem(v8) & ~ leq(v3, v8))) & ! [v3: $i] : % 212.04/29.54 | (v3 = v2 | ~ $i(v3) | ~ leq(v2, v3) | ~ memberP(v1, v3) | ~ % 212.04/29.54 | ssItem(v3))) % 212.04/29.54 | % 212.04/29.54 | ALPHA: (function-axioms) implies: % 212.04/29.54 | (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (hd(v2) = v1) % 212.04/29.54 | | ~ (hd(v2) = v0)) % 212.04/29.54 | % 212.04/29.54 | DELTA: instantiating (17) with fresh symbols all_91_0, all_91_1, all_91_2 % 212.04/29.54 | gives: % 212.56/29.55 | (19) ~ (all_91_2 = nil) & cons(all_91_0, nil) = all_91_2 & $i(all_91_0) & % 212.56/29.55 | $i(all_91_1) & $i(all_91_2) & memberP(all_91_1, all_91_0) & % 212.56/29.55 | ssList(all_91_1) & ssList(all_91_2) & ssItem(all_91_0) & ! [v0: $i] : % 212.56/29.55 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (cons(v0, % 212.56/29.55 | nil) = v1) | ~ (app(v3, v4) = all_91_2) | ~ (app(v2, v1) = v3) % 212.56/29.55 | | ~ $i(v4) | ~ $i(v2) | ~ $i(v0) | ~ ssList(v4) | ~ ssList(v2) % 212.56/29.55 | | ~ ssItem(v0) | ? [v5: $i] : ($i(v5) & lt(v0, v5) & memberP(v4, % 212.56/29.55 | v5) & memberP(v2, v5) & ssItem(v5) & ~ leq(v0, v5))) & ! [v0: % 212.56/29.55 | any] : (v0 = all_91_0 | ~ $i(v0) | ~ leq(all_91_0, v0) | ~ % 212.56/29.55 | memberP(all_91_1, v0) | ~ ssItem(v0)) % 212.56/29.55 | % 212.56/29.55 | ALPHA: (19) implies: % 212.56/29.55 | (20) ~ (all_91_2 = nil) % 212.56/29.55 | (21) ssItem(all_91_0) % 212.56/29.55 | (22) ssList(all_91_2) % 212.56/29.55 | (23) $i(all_91_2) % 212.56/29.55 | (24) $i(all_91_0) % 212.56/29.55 | (25) cons(all_91_0, nil) = all_91_2 % 212.56/29.55 | (26) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 212.56/29.55 | ( ~ (cons(v0, nil) = v1) | ~ (app(v3, v4) = all_91_2) | ~ (app(v2, % 212.56/29.55 | v1) = v3) | ~ $i(v4) | ~ $i(v2) | ~ $i(v0) | ~ ssList(v4) | % 212.56/29.55 | ~ ssList(v2) | ~ ssItem(v0) | ? [v5: $i] : ($i(v5) & lt(v0, v5) & % 212.56/29.55 | memberP(v4, v5) & memberP(v2, v5) & ssItem(v5) & ~ leq(v0, v5))) % 212.56/29.55 | % 212.56/29.55 | BETA: splitting (10) gives: % 212.56/29.55 | % 212.56/29.55 | Case 1: % 212.56/29.55 | | % 212.56/29.55 | | (27) ~ ssList(nil) % 212.56/29.55 | | % 212.56/29.55 | | PRED_UNIFY: (5), (27) imply: % 212.56/29.55 | | (28) $false % 212.56/29.56 | | % 212.56/29.56 | | CLOSE: (28) is inconsistent. % 212.56/29.56 | | % 212.56/29.56 | Case 2: % 212.56/29.56 | | % 212.56/29.56 | | (29) frontsegP(nil, nil) % 212.56/29.56 | | % 212.56/29.56 | | BETA: splitting (11) gives: % 212.56/29.56 | | % 212.56/29.56 | | Case 1: % 212.56/29.56 | | | % 212.56/29.56 | | | (30) ~ ssList(nil) % 212.56/29.56 | | | % 212.56/29.56 | | | PRED_UNIFY: (5), (30) imply: % 212.56/29.56 | | | (31) $false % 212.56/29.56 | | | % 212.56/29.56 | | | CLOSE: (31) is inconsistent. % 212.56/29.56 | | | % 212.56/29.56 | | Case 2: % 212.56/29.56 | | | % 212.56/29.56 | | | % 212.56/29.56 | | | GROUND_INST: instantiating (8) with all_91_2, simplifying with (22), (23) % 212.56/29.56 | | | gives: % 212.56/29.56 | | | (32) all_91_2 = nil | ? [v0: $i] : ? [v1: $i] : (cons(v1, v0) = % 212.56/29.56 | | | all_91_2 & $i(v1) & $i(v0) & ssList(v0) & ssItem(v1)) % 212.56/29.56 | | | % 212.56/29.56 | | | GROUND_INST: instantiating (ax55) with all_91_2, simplifying with (22), % 212.56/29.56 | | | (23) gives: % 212.56/29.56 | | | (33) segmentP(all_91_2, all_91_2) % 212.56/29.56 | | | % 212.56/29.56 | | | GROUND_INST: instantiating (3) with nil, nil, simplifying with (5), (16), % 212.56/29.56 | | | (29) gives: % 212.56/29.56 | | | (34) ? [v0: $i] : (app(nil, v0) = nil & $i(v0) & ssList(v0)) % 212.56/29.56 | | | % 212.56/29.56 | | | GROUND_INST: instantiating (ax25) with nil, all_91_0, all_91_2, % 212.56/29.56 | | | simplifying with (5), (16), (21), (24), (25) gives: % 212.56/29.56 | | | (35) tl(all_91_2) = nil % 212.56/29.56 | | | % 212.56/29.56 | | | GROUND_INST: instantiating (2) with all_91_2, all_91_0, simplifying with % 212.56/29.56 | | | (21), (22), (23), (24), (25) gives: % 212.56/29.57 | | | (36) singletonP(all_91_2) % 212.56/29.57 | | | % 212.56/29.57 | | | DELTA: instantiating (34) with fresh symbol all_112_0 gives: % 212.56/29.57 | | | (37) app(nil, all_112_0) = nil & $i(all_112_0) & ssList(all_112_0) % 212.56/29.57 | | | % 212.56/29.57 | | | ALPHA: (37) implies: % 212.56/29.57 | | | (38) ssList(all_112_0) % 212.56/29.57 | | | (39) $i(all_112_0) % 212.56/29.57 | | | (40) app(nil, all_112_0) = nil % 212.56/29.57 | | | % 212.56/29.57 | | | BETA: splitting (32) gives: % 212.56/29.57 | | | % 212.56/29.57 | | | Case 1: % 212.56/29.57 | | | | % 212.56/29.57 | | | | (41) all_91_2 = nil % 212.56/29.57 | | | | % 212.56/29.57 | | | | REDUCE: (20), (41) imply: % 212.56/29.57 | | | | (42) $false % 212.56/29.57 | | | | % 212.56/29.57 | | | | CLOSE: (42) is inconsistent. % 212.56/29.57 | | | | % 212.56/29.57 | | | Case 2: % 212.56/29.57 | | | | % 212.56/29.57 | | | | (43) ? [v0: $i] : ? [v1: $i] : (cons(v1, v0) = all_91_2 & $i(v1) & % 212.56/29.57 | | | | $i(v0) & ssList(v0) & ssItem(v1)) % 212.56/29.57 | | | | % 212.56/29.57 | | | | DELTA: instantiating (43) with fresh symbols all_140_0, all_140_1 gives: % 212.56/29.57 | | | | (44) cons(all_140_0, all_140_1) = all_91_2 & $i(all_140_0) & % 212.56/29.57 | | | | $i(all_140_1) & ssList(all_140_1) & ssItem(all_140_0) % 212.56/29.57 | | | | % 212.56/29.57 | | | | ALPHA: (44) implies: % 212.56/29.57 | | | | (45) ssItem(all_140_0) % 212.56/29.57 | | | | (46) ssList(all_140_1) % 212.56/29.57 | | | | (47) $i(all_140_1) % 212.56/29.57 | | | | (48) $i(all_140_0) % 212.56/29.57 | | | | (49) cons(all_140_0, all_140_1) = all_91_2 % 212.56/29.57 | | | | % 212.56/29.57 | | | | GROUND_INST: instantiating (1) with all_91_2, simplifying with (22), % 212.56/29.57 | | | | (23), (36) gives: % 212.56/29.57 | | | | (50) ? [v0: $i] : (cons(v0, nil) = all_91_2 & $i(v0) & ssItem(v0)) % 212.56/29.57 | | | | % 212.56/29.57 | | | | GROUND_INST: instantiating (4) with all_91_2, all_91_2, simplifying with % 212.56/29.57 | | | | (22), (23), (33) gives: % 212.98/29.57 | | | | (51) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (app(v1, v2) = % 212.98/29.57 | | | | all_91_2 & app(v0, all_91_2) = v1 & $i(v2) & $i(v1) & $i(v0) & % 212.98/29.57 | | | | ssList(v2) & ssList(v0)) % 212.98/29.58 | | | | % 212.98/29.58 | | | | GROUND_INST: instantiating (ax82) with nil, all_112_0, nil, all_112_0, % 212.98/29.58 | | | | nil, simplifying with (5), (16), (38), (39), (40) gives: % 212.98/29.58 | | | | (52) ? [v0: $i] : (app(all_112_0, all_112_0) = v0 & app(nil, v0) = % 212.98/29.58 | | | | nil & $i(v0)) % 212.98/29.58 | | | | % 212.98/29.58 | | | | GROUND_INST: instantiating (9) with all_112_0, nil, simplifying with % 212.98/29.58 | | | | (38), (39), (40) gives: % 212.98/29.58 | | | | (53) all_112_0 = nil % 212.98/29.58 | | | | % 212.98/29.58 | | | | GROUND_INST: instantiating (7) with all_140_1, nil, all_140_0, all_91_2, % 212.98/29.58 | | | | all_91_0, simplifying with (5), (16), (21), (24), (25), % 212.98/29.58 | | | | (45), (46), (47), (48), (49) gives: % 212.98/29.58 | | | | (54) all_140_0 = all_91_0 % 212.98/29.58 | | | | % 212.98/29.58 | | | | GROUND_INST: instantiating (6) with all_140_1, nil, all_140_0, all_91_2, % 212.98/29.58 | | | | all_91_0, simplifying with (5), (16), (21), (24), (25), % 212.98/29.58 | | | | (45), (46), (47), (48), (49) gives: % 212.98/29.58 | | | | (55) all_140_1 = nil % 212.98/29.58 | | | | % 212.98/29.58 | | | | GROUND_INST: instantiating (ax23) with all_140_1, all_140_0, all_91_2, % 212.98/29.58 | | | | simplifying with (45), (46), (47), (48), (49) gives: % 212.98/29.58 | | | | (56) hd(all_91_2) = all_140_0 % 212.98/29.58 | | | | % 212.98/29.59 | | | | GROUND_INST: instantiating (14) with all_91_2, nil, all_112_0, nil, % 212.98/29.59 | | | | simplifying with (22), (23), (35), (38), (39), (40) gives: % 212.98/29.59 | | | | (57) all_91_2 = nil | ? [v0: $i] : (tl(v0) = nil & app(all_91_2, % 212.98/29.59 | | | | all_112_0) = v0 & $i(v0) & $i(nil)) % 213.05/29.59 | | | | % 213.05/29.59 | | | | GROUND_INST: instantiating (12) with all_91_2, nil, simplifying with % 213.05/29.59 | | | | (22), (23), (35) gives: % 213.05/29.59 | | | | (58) ? [v0: $i] : (hd(all_91_2) = v0 & $i(v0) & ! [v1: any] : (v1 = % 213.05/29.59 | | | | all_91_2 | v1 = nil | all_91_2 = nil | ~ (tl(v1) = nil) | % 213.05/29.59 | | | | ~ $i(v1) | ~ ssList(v1) | ? [v2: $i] : ( ~ (v2 = v0) & % 213.05/29.59 | | | | hd(v1) = v2 & $i(v2)))) % 213.05/29.59 | | | | % 213.05/29.59 | | | | DELTA: instantiating (52) with fresh symbol all_148_0 gives: % 213.05/29.59 | | | | (59) app(all_112_0, all_112_0) = all_148_0 & app(nil, all_148_0) = % 213.05/29.59 | | | | nil & $i(all_148_0) % 213.05/29.59 | | | | % 213.05/29.59 | | | | ALPHA: (59) implies: % 213.05/29.59 | | | | (60) $i(all_148_0) % 213.05/29.59 | | | | (61) app(all_112_0, all_112_0) = all_148_0 % 213.05/29.59 | | | | % 213.05/29.59 | | | | DELTA: instantiating (50) with fresh symbol all_160_0 gives: % 213.05/29.59 | | | | (62) cons(all_160_0, nil) = all_91_2 & $i(all_160_0) & % 213.05/29.59 | | | | ssItem(all_160_0) % 213.05/29.59 | | | | % 213.05/29.59 | | | | ALPHA: (62) implies: % 213.05/29.59 | | | | (63) ssItem(all_160_0) % 213.05/29.59 | | | | (64) $i(all_160_0) % 213.05/29.59 | | | | (65) cons(all_160_0, nil) = all_91_2 % 213.05/29.59 | | | | % 213.05/29.59 | | | | DELTA: instantiating (51) with fresh symbols all_174_0, all_174_1, % 213.05/29.59 | | | | all_174_2 gives: % 213.05/29.59 | | | | (66) app(all_174_1, all_174_0) = all_91_2 & app(all_174_2, all_91_2) % 213.05/29.59 | | | | = all_174_1 & $i(all_174_0) & $i(all_174_1) & $i(all_174_2) & % 213.05/29.59 | | | | ssList(all_174_0) & ssList(all_174_2) % 213.05/29.59 | | | | % 213.05/29.59 | | | | ALPHA: (66) implies: % 213.05/29.59 | | | | (67) ssList(all_174_2) % 213.05/29.59 | | | | (68) ssList(all_174_0) % 213.05/29.59 | | | | (69) $i(all_174_2) % 213.05/29.59 | | | | (70) $i(all_174_0) % 213.05/29.59 | | | | (71) app(all_174_2, all_91_2) = all_174_1 % 213.05/29.59 | | | | (72) app(all_174_1, all_174_0) = all_91_2 % 213.05/29.59 | | | | % 213.05/29.59 | | | | DELTA: instantiating (58) with fresh symbol all_180_0 gives: % 213.05/29.60 | | | | (73) hd(all_91_2) = all_180_0 & $i(all_180_0) & ! [v0: any] : (v0 = % 213.05/29.60 | | | | all_91_2 | v0 = nil | all_91_2 = nil | ~ (tl(v0) = nil) | ~ % 213.05/29.60 | | | | $i(v0) | ~ ssList(v0) | ? [v1: any] : ( ~ (v1 = all_180_0) & % 213.05/29.60 | | | | hd(v0) = v1 & $i(v1))) % 213.05/29.60 | | | | % 213.05/29.60 | | | | ALPHA: (73) implies: % 213.05/29.60 | | | | (74) $i(all_180_0) % 213.05/29.60 | | | | (75) hd(all_91_2) = all_180_0 % 213.05/29.60 | | | | % 213.05/29.60 | | | | REDUCE: (54), (56) imply: % 213.05/29.60 | | | | (76) hd(all_91_2) = all_91_0 % 213.05/29.60 | | | | % 213.05/29.60 | | | | REDUCE: (53), (61) imply: % 213.05/29.60 | | | | (77) app(nil, nil) = all_148_0 % 213.05/29.60 | | | | % 213.05/29.60 | | | | BETA: splitting (57) gives: % 213.05/29.60 | | | | % 213.05/29.60 | | | | Case 1: % 213.05/29.60 | | | | | % 213.05/29.60 | | | | | (78) all_91_2 = nil % 213.05/29.60 | | | | | % 213.05/29.60 | | | | | REDUCE: (20), (78) imply: % 213.05/29.60 | | | | | (79) $false % 213.05/29.60 | | | | | % 213.05/29.60 | | | | | CLOSE: (79) is inconsistent. % 213.05/29.60 | | | | | % 213.05/29.60 | | | | Case 2: % 213.05/29.60 | | | | | % 213.05/29.60 | | | | | % 213.05/29.60 | | | | | GROUND_INST: instantiating (13) with all_148_0, simplifying with (5), % 213.05/29.60 | | | | | (77) gives: % 213.05/29.60 | | | | | (80) all_148_0 = nil % 213.05/29.60 | | | | | % 213.05/29.60 | | | | | GROUND_INST: instantiating (18) with all_91_0, all_180_0, all_91_2, % 213.05/29.60 | | | | | simplifying with (75), (76) gives: % 213.05/29.60 | | | | | (81) all_180_0 = all_91_0 % 213.05/29.60 | | | | | % 213.05/29.60 | | | | | GROUND_INST: instantiating (7) with nil, nil, all_91_0, all_91_2, % 213.05/29.60 | | | | | all_160_0, simplifying with (5), (16), (21), (24), (25), % 213.05/29.60 | | | | | (63), (64), (65) gives: % 213.05/29.60 | | | | | (82) all_160_0 = all_91_0 % 213.05/29.60 | | | | | % 213.05/29.60 | | | | | GROUND_INST: instantiating (26) with all_160_0, all_91_2, all_174_2, % 213.05/29.60 | | | | | all_174_1, all_174_0, simplifying with (63), (64), (65), % 213.05/29.60 | | | | | (67), (68), (69), (70), (71), (72) gives: % 213.05/29.61 | | | | | (83) ? [v0: $i] : ($i(v0) & lt(all_160_0, v0) & memberP(all_174_0, % 213.05/29.61 | | | | | v0) & memberP(all_174_2, v0) & ssItem(v0) & ~ % 213.05/29.61 | | | | | leq(all_160_0, v0)) % 213.05/29.61 | | | | | % 213.05/29.61 | | | | | DELTA: instantiating (83) with fresh symbol all_296_0 gives: % 213.05/29.61 | | | | | (84) $i(all_296_0) & lt(all_160_0, all_296_0) & memberP(all_174_0, % 213.05/29.61 | | | | | all_296_0) & memberP(all_174_2, all_296_0) & % 213.05/29.61 | | | | | ssItem(all_296_0) & ~ leq(all_160_0, all_296_0) % 213.05/29.61 | | | | | % 213.05/29.61 | | | | | ALPHA: (84) implies: % 213.05/29.61 | | | | | (85) ~ leq(all_160_0, all_296_0) % 213.05/29.61 | | | | | (86) ssItem(all_296_0) % 213.05/29.61 | | | | | (87) lt(all_160_0, all_296_0) % 213.05/29.61 | | | | | (88) $i(all_296_0) % 213.05/29.61 | | | | | % 213.05/29.61 | | | | | REDUCE: (82), (87) imply: % 213.05/29.61 | | | | | (89) lt(all_91_0, all_296_0) % 213.05/29.61 | | | | | % 213.05/29.61 | | | | | REDUCE: (82), (85) imply: % 213.05/29.61 | | | | | (90) ~ leq(all_91_0, all_296_0) % 213.05/29.61 | | | | | % 213.16/29.61 | | | | | GROUND_INST: instantiating (15) with all_91_0, all_296_0, simplifying % 213.16/29.61 | | | | | with (21), (24), (86), (88), (89), (90) gives: % 213.16/29.61 | | | | | (91) $false % 213.16/29.61 | | | | | % 213.16/29.61 | | | | | CLOSE: (91) is inconsistent. % 213.16/29.61 | | | | | % 213.16/29.61 | | | | End of split % 213.16/29.61 | | | | % 213.16/29.61 | | | End of split % 213.16/29.61 | | | % 213.16/29.61 | | End of split % 213.16/29.61 | | % 213.16/29.61 | End of split % 213.16/29.61 | % 213.16/29.61 End of proof % 213.16/29.61 % SZS output end Proof for theBenchmark % 213.16/29.61 % 213.16/29.61 28904ms %------------------------------------------------------------------------------