%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SWV367+1 : TPTP v8.1.2. Released v3.3.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n027.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 22:56:02 EDT 2023 % Result : Theorem 11.73s 2.30s % Output : Proof 14.27s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SWV367+1 : TPTP v8.1.2. Released v3.3.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.14/0.35 % Computer : n027.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 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Tue Aug 29 07:09:23 EDT 2023 % 0.14/0.35 % CPUTime : % 0.21/0.64 ________ _____ % 0.21/0.64 ___ __ \_________(_)________________________________ % 0.21/0.64 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.21/0.64 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.21/0.64 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.21/0.64 % 0.21/0.64 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.21/0.64 (2023-06-19) % 0.21/0.64 % 0.21/0.64 (c) Philipp Rümmer, 2009-2023 % 0.21/0.64 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.21/0.64 Amanda Stjerna. % 0.21/0.64 Free software under BSD-3-Clause. % 0.21/0.64 % 0.21/0.64 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.21/0.64 % 0.21/0.64 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.21/0.65 Running up to 7 provers in parallel. % 0.21/0.67 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.21/0.67 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.21/0.67 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.21/0.67 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.21/0.67 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.21/0.67 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.21/0.67 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 4.08/1.26 Prover 4: Preprocessing ... % 4.08/1.30 Prover 1: Preprocessing ... % 4.08/1.30 Prover 0: Preprocessing ... % 4.08/1.30 Prover 3: Preprocessing ... % 4.08/1.30 Prover 5: Preprocessing ... % 4.08/1.30 Prover 2: Preprocessing ... % 4.08/1.30 Prover 6: Preprocessing ... % 9.17/2.02 Prover 1: Warning: ignoring some quantifiers % 9.17/2.12 Prover 3: Warning: ignoring some quantifiers % 10.11/2.13 Prover 1: Constructing countermodel ... % 10.11/2.15 Prover 5: Proving ... % 10.11/2.15 Prover 6: Proving ... % 10.11/2.15 Prover 3: Constructing countermodel ... % 11.15/2.25 Prover 2: Proving ... % 11.73/2.28 Prover 4: Constructing countermodel ... % 11.73/2.30 Prover 6: proved (1631ms) % 11.73/2.30 % 11.73/2.30 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 11.73/2.30 % 11.73/2.30 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 11.73/2.30 Prover 3: stopped % 11.73/2.30 Prover 0: Proving ... % 11.73/2.31 Prover 0: stopped % 11.73/2.32 Prover 2: stopped % 11.73/2.33 Prover 5: stopped % 11.73/2.34 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 11.73/2.34 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 11.73/2.34 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 11.73/2.34 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 11.73/2.37 Prover 7: Preprocessing ... % 12.46/2.38 Prover 8: Preprocessing ... % 12.46/2.39 Prover 1: Found proof (size 11) % 12.46/2.39 Prover 10: Preprocessing ... % 12.46/2.39 Prover 1: proved (1732ms) % 12.63/2.40 Prover 4: stopped % 12.63/2.40 Prover 13: Preprocessing ... % 12.63/2.40 Prover 11: Preprocessing ... % 12.83/2.45 Prover 7: stopped % 12.83/2.47 Prover 10: stopped % 13.39/2.51 Prover 11: stopped % 13.39/2.51 Prover 13: stopped % 13.79/2.58 Prover 8: Warning: ignoring some quantifiers % 13.79/2.61 Prover 8: Constructing countermodel ... % 13.79/2.62 Prover 8: stopped % 13.79/2.62 % 13.79/2.62 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 13.79/2.62 % 13.79/2.62 % SZS output start Proof for theBenchmark % 13.79/2.62 Assumptions after simplification: % 13.79/2.62 --------------------------------- % 13.79/2.62 % 13.79/2.62 (ax54) % 13.79/2.65 $i(create_slb) & $i(create_pq) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 13.79/2.65 (triple(v0, create_slb, v1) = v2) | ~ $i(v1) | ~ $i(v0) | i(v2) = % 13.79/2.65 create_pq) % 13.79/2.65 % 13.79/2.65 (ax8) % 13.79/2.65 $i(create_pq) & ! [v0: $i] : ( ~ (contains_pq(create_pq, v0) = 0) | ~ % 13.79/2.65 $i(v0)) % 13.79/2.65 % 13.79/2.65 (l3_co) % 13.79/2.65 $i(create_slb) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? % 13.79/2.65 [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ( ~ (v7 = v6) & i(v5) = % 13.79/2.65 v6 & i(v3) = v4 & triple(v0, create_slb, v1) = v3 & remove_cpq(v3, v2) = v5 % 13.79/2.65 & remove_pq(v4, v2) = v7 & contains_pq(v4, v2) = 0 & $i(v7) & $i(v6) & % 13.79/2.65 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 13.79/2.65 % 13.79/2.65 (function-axioms) % 13.79/2.66 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 % 13.79/2.66 | ~ (triple(v4, v3, v2) = v1) | ~ (triple(v4, v3, v2) = v0)) & ! [v0: % 13.79/2.66 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 13.79/2.66 : ! [v4: $i] : (v1 = v0 | ~ (pair_in_list(v4, v3, v2) = v1) | ~ % 13.79/2.66 (pair_in_list(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 13.79/2.66 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 13.79/2.66 (pi_sharp_removemin(v3, v2) = v1) | ~ (pi_sharp_removemin(v3, v2) = v0)) & % 13.79/2.66 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 13.79/2.66 $i] : (v1 = v0 | ~ (pi_sharp_find_min(v3, v2) = v1) | ~ % 13.79/2.66 (pi_sharp_find_min(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 13.79/2.66 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 13.79/2.66 (pi_remove(v3, v2) = v1) | ~ (pi_remove(v3, v2) = v0)) & ! [v0: % 13.79/2.66 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 13.79/2.66 : (v1 = v0 | ~ (pi_sharp_remove(v3, v2) = v1) | ~ (pi_sharp_remove(v3, v2) = % 13.79/2.66 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | % 13.79/2.66 ~ (remove_pqp(v3, v2) = v1) | ~ (remove_pqp(v3, v2) = v0)) & ! [v0: $i] : % 13.79/2.66 ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (insert_pqp(v3, v2) = % 13.79/2.66 v1) | ~ (insert_pqp(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 13.79/2.66 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 13.79/2.66 (contains_cpq(v3, v2) = v1) | ~ (contains_cpq(v3, v2) = v0)) & ! [v0: $i] % 13.79/2.66 : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (remove_cpq(v3, v2) % 13.79/2.66 = v1) | ~ (remove_cpq(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! % 13.79/2.66 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (insert_cpq(v3, v2) = v1) | ~ % 13.79/2.66 (insert_cpq(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 13.79/2.66 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (succ_cpq(v3, % 13.79/2.66 v2) = v1) | ~ (succ_cpq(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! % 13.79/2.66 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (update_slb(v3, v2) = v1) | ~ % 13.79/2.66 (update_slb(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 13.79/2.66 [v3: $i] : (v1 = v0 | ~ (lookup_slb(v3, v2) = v1) | ~ (lookup_slb(v3, v2) = % 13.79/2.66 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | % 13.79/2.66 ~ (remove_slb(v3, v2) = v1) | ~ (remove_slb(v3, v2) = v0)) & ! [v0: % 13.79/2.66 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 13.79/2.66 : (v1 = v0 | ~ (contains_slb(v3, v2) = v1) | ~ (contains_slb(v3, v2) = v0)) % 13.79/2.66 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 13.79/2.66 (pair(v3, v2) = v1) | ~ (pair(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : % 13.79/2.66 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (insert_slb(v3, v2) = v1) | ~ % 13.79/2.66 (insert_slb(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 13.79/2.66 [v3: $i] : (v1 = v0 | ~ (removemin_pq_res(v3, v2) = v1) | ~ % 13.79/2.66 (removemin_pq_res(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 13.79/2.66 ! [v3: $i] : (v1 = v0 | ~ (removemin_pq_eff(v3, v2) = v1) | ~ % 13.79/2.66 (removemin_pq_eff(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 13.79/2.66 ! [v3: $i] : (v1 = v0 | ~ (findmin_pq_res(v3, v2) = v1) | ~ % 13.79/2.66 (findmin_pq_res(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 13.79/2.66 ! [v3: $i] : (v1 = v0 | ~ (findmin_pq_eff(v3, v2) = v1) | ~ % 13.79/2.66 (findmin_pq_eff(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 13.79/2.66 ! [v3: $i] : (v1 = v0 | ~ (remove_pq(v3, v2) = v1) | ~ (remove_pq(v3, v2) = % 13.79/2.66 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 13.79/2.66 $i] : ! [v3: $i] : (v1 = v0 | ~ (issmallestelement_pq(v3, v2) = v1) | ~ % 13.79/2.66 (issmallestelement_pq(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 13.79/2.66 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 13.79/2.66 (contains_pq(v3, v2) = v1) | ~ (contains_pq(v3, v2) = v0)) & ! [v0: $i] : % 13.79/2.66 ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (insert_pq(v3, v2) = % 13.79/2.66 v1) | ~ (insert_pq(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 13.79/2.66 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 13.79/2.66 (strictly_less_than(v3, v2) = v1) | ~ (strictly_less_than(v3, v2) = v0)) & % 13.79/2.66 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 13.79/2.66 $i] : (v1 = v0 | ~ (less_than(v3, v2) = v1) | ~ (less_than(v3, v2) = v0)) % 13.79/2.66 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 % 13.79/2.66 = v0 | ~ (phi(v2) = v1) | ~ (phi(v2) = v0)) & ! [v0: MultipleValueBool] : % 13.79/2.66 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (pi_removemin(v2) = % 13.79/2.66 v1) | ~ (pi_removemin(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 13.79/2.66 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (pi_find_min(v2) = v1) | ~ % 13.79/2.66 (pi_find_min(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 % 13.79/2.66 | ~ (i(v2) = v1) | ~ (i(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 13.79/2.66 $i] : (v1 = v0 | ~ (removemin_cpq_res(v2) = v1) | ~ (removemin_cpq_res(v2) % 13.79/2.66 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 13.79/2.66 (findmin_cpq_res(v2) = v1) | ~ (findmin_cpq_res(v2) = v0)) & ! [v0: $i] : % 13.79/2.66 ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (findmin_pqp_res(v2) = v1) | ~ % 13.79/2.66 (findmin_pqp_res(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 13.79/2.66 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (ok(v2) = v1) | ~ (ok(v2) % 13.79/2.66 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 13.79/2.66 $i] : (v1 = v0 | ~ (check_cpq(v2) = v1) | ~ (check_cpq(v2) = v0)) & ! % 13.79/2.66 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (removemin_cpq_eff(v2) = % 13.79/2.66 v1) | ~ (removemin_cpq_eff(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! % 13.79/2.66 [v2: $i] : (v1 = v0 | ~ (findmin_cpq_eff(v2) = v1) | ~ (findmin_cpq_eff(v2) % 13.79/2.66 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 13.79/2.66 $i] : (v1 = v0 | ~ (isnonempty_slb(v2) = v1) | ~ (isnonempty_slb(v2) = % 13.79/2.66 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 13.79/2.66 $i] : (v1 = v0 | ~ (isnonempty_pq(v2) = v1) | ~ (isnonempty_pq(v2) = v0)) % 13.79/2.66 % 13.79/2.66 Further assumptions not needed in the proof: % 13.79/2.66 -------------------------------------------- % 13.79/2.67 ax10, ax11, ax12, ax13, ax14, ax15, ax16, ax17, ax18, ax19, ax20, ax21, ax22, % 13.79/2.67 ax23, ax24, ax25, ax26, ax27, ax28, ax29, ax30, ax31, ax32, ax33, ax34, ax35, % 13.79/2.67 ax36, ax37, ax38, ax39, ax40, ax41, ax42, ax43, ax44, ax45, ax46, ax47, ax48, % 13.79/2.67 ax49, ax50, ax51, ax52, ax53, ax55, ax56, ax57, ax58, ax59, ax6, ax60, ax61, % 13.79/2.67 ax62, ax7, ax9, bottom_smallest, reflexivity, stricly_smaller_definition, % 13.79/2.67 totality, transitivity % 13.79/2.67 % 13.79/2.67 Those formulas are unsatisfiable: % 13.79/2.67 --------------------------------- % 13.79/2.67 % 13.79/2.67 Begin of proof % 13.79/2.67 | % 13.79/2.67 | ALPHA: (ax8) implies: % 13.79/2.67 | (1) ! [v0: $i] : ( ~ (contains_pq(create_pq, v0) = 0) | ~ $i(v0)) % 13.79/2.67 | % 13.79/2.67 | ALPHA: (ax54) implies: % 13.79/2.67 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (triple(v0, create_slb, % 13.79/2.67 | v1) = v2) | ~ $i(v1) | ~ $i(v0) | i(v2) = create_pq) % 13.79/2.67 | % 13.79/2.67 | ALPHA: (l3_co) implies: % 13.79/2.67 | (3) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 13.79/2.67 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ( ~ (v7 = v6) & i(v5) = v6 & % 13.79/2.67 | i(v3) = v4 & triple(v0, create_slb, v1) = v3 & remove_cpq(v3, v2) = % 13.79/2.67 | v5 & remove_pq(v4, v2) = v7 & contains_pq(v4, v2) = 0 & $i(v7) & % 13.79/2.67 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 13.79/2.67 | % 13.79/2.67 | ALPHA: (function-axioms) implies: % 13.79/2.67 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (i(v2) = v1) | % 13.79/2.67 | ~ (i(v2) = v0)) % 13.79/2.67 | % 13.79/2.67 | DELTA: instantiating (3) with fresh symbols all_66_0, all_66_1, all_66_2, % 13.79/2.67 | all_66_3, all_66_4, all_66_5, all_66_6, all_66_7 gives: % 14.27/2.67 | (5) ~ (all_66_0 = all_66_1) & i(all_66_2) = all_66_1 & i(all_66_4) = % 14.27/2.67 | all_66_3 & triple(all_66_7, create_slb, all_66_6) = all_66_4 & % 14.27/2.67 | remove_cpq(all_66_4, all_66_5) = all_66_2 & remove_pq(all_66_3, % 14.27/2.67 | all_66_5) = all_66_0 & contains_pq(all_66_3, all_66_5) = 0 & % 14.27/2.67 | $i(all_66_0) & $i(all_66_1) & $i(all_66_2) & $i(all_66_3) & % 14.27/2.67 | $i(all_66_4) & $i(all_66_5) & $i(all_66_6) & $i(all_66_7) % 14.27/2.67 | % 14.27/2.67 | ALPHA: (5) implies: % 14.27/2.67 | (6) $i(all_66_7) % 14.27/2.67 | (7) $i(all_66_6) % 14.27/2.67 | (8) $i(all_66_5) % 14.27/2.67 | (9) contains_pq(all_66_3, all_66_5) = 0 % 14.27/2.68 | (10) triple(all_66_7, create_slb, all_66_6) = all_66_4 % 14.27/2.68 | (11) i(all_66_4) = all_66_3 % 14.27/2.68 | % 14.27/2.68 | GROUND_INST: instantiating (2) with all_66_7, all_66_6, all_66_4, simplifying % 14.27/2.68 | with (6), (7), (10) gives: % 14.27/2.68 | (12) i(all_66_4) = create_pq % 14.27/2.68 | % 14.27/2.68 | GROUND_INST: instantiating (4) with all_66_3, create_pq, all_66_4, simplifying % 14.27/2.68 | with (11), (12) gives: % 14.27/2.68 | (13) all_66_3 = create_pq % 14.27/2.68 | % 14.27/2.68 | REDUCE: (9), (13) imply: % 14.27/2.68 | (14) contains_pq(create_pq, all_66_5) = 0 % 14.27/2.68 | % 14.27/2.68 | GROUND_INST: instantiating (1) with all_66_5, simplifying with (8), (14) % 14.27/2.68 | gives: % 14.27/2.68 | (15) $false % 14.27/2.68 | % 14.27/2.68 | CLOSE: (15) is inconsistent. % 14.27/2.68 | % 14.27/2.68 End of proof % 14.27/2.68 % SZS output end Proof for theBenchmark % 14.27/2.68 % 14.27/2.68 2039ms %------------------------------------------------------------------------------