TSTP Solution File: SWV365+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SWV365+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 : n028.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 12.42s 2.38s
% Output : Proof 14.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV365+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 07:33:55 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.65/0.62 ________ _____
% 0.65/0.62 ___ __ \_________(_)________________________________
% 0.65/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.65/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.65/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.65/0.62
% 0.65/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.65/0.62 (2023-06-19)
% 0.65/0.62
% 0.65/0.62 (c) Philipp Rümmer, 2009-2023
% 0.65/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.65/0.62 Amanda Stjerna.
% 0.65/0.62 Free software under BSD-3-Clause.
% 0.65/0.62
% 0.65/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.65/0.62
% 0.65/0.62 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.65/0.63 Running up to 7 provers in parallel.
% 0.65/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.65/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.65/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.65/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.65/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.65/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.65/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.58/1.29 Prover 1: Preprocessing ...
% 3.58/1.29 Prover 4: Preprocessing ...
% 4.34/1.33 Prover 5: Preprocessing ...
% 4.34/1.33 Prover 0: Preprocessing ...
% 4.34/1.33 Prover 3: Preprocessing ...
% 4.34/1.33 Prover 2: Preprocessing ...
% 4.34/1.33 Prover 6: Preprocessing ...
% 10.12/2.09 Prover 1: Warning: ignoring some quantifiers
% 10.63/2.15 Prover 3: Warning: ignoring some quantifiers
% 10.63/2.18 Prover 6: Proving ...
% 10.63/2.18 Prover 1: Constructing countermodel ...
% 10.63/2.18 Prover 5: Proving ...
% 10.63/2.20 Prover 3: Constructing countermodel ...
% 11.17/2.26 Prover 2: Proving ...
% 11.67/2.30 Prover 4: Constructing countermodel ...
% 11.67/2.31 Prover 0: Proving ...
% 12.42/2.37 Prover 3: proved (1719ms)
% 12.42/2.37
% 12.42/2.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.42/2.38
% 12.42/2.38 Prover 6: proved (1725ms)
% 12.42/2.38
% 12.42/2.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.42/2.38
% 12.42/2.38 Prover 5: stopped
% 12.42/2.39 Prover 0: stopped
% 12.42/2.39 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 12.42/2.39 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 12.42/2.39 Prover 2: stopped
% 12.64/2.40 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 12.64/2.40 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 12.64/2.40 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 12.64/2.41 Prover 1: Found proof (size 11)
% 12.64/2.41 Prover 1: proved (1768ms)
% 12.64/2.43 Prover 8: Preprocessing ...
% 12.64/2.44 Prover 4: stopped
% 12.64/2.45 Prover 7: Preprocessing ...
% 12.64/2.46 Prover 10: Preprocessing ...
% 12.64/2.46 Prover 13: Preprocessing ...
% 13.26/2.48 Prover 11: Preprocessing ...
% 13.30/2.53 Prover 7: stopped
% 13.30/2.53 Prover 10: stopped
% 13.30/2.55 Prover 13: stopped
% 13.30/2.55 Prover 11: stopped
% 14.05/2.62 Prover 8: Warning: ignoring some quantifiers
% 14.20/2.64 Prover 8: Constructing countermodel ...
% 14.20/2.65 Prover 8: stopped
% 14.20/2.65
% 14.20/2.65 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.20/2.65
% 14.20/2.65 % SZS output start Proof for theBenchmark
% 14.20/2.66 Assumptions after simplification:
% 14.20/2.66 ---------------------------------
% 14.20/2.66
% 14.20/2.66 (ax54)
% 14.20/2.68 $i(create_slb) & $i(create_pq) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 14.20/2.68 (triple(v0, create_slb, v1) = v2) | ~ $i(v1) | ~ $i(v0) | i(v2) =
% 14.20/2.68 create_pq)
% 14.20/2.68
% 14.20/2.68 (l1_co)
% 14.20/2.68 $i(create_slb) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ?
% 14.20/2.68 [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ( ~ (v7 = v5) & i(v6) =
% 14.20/2.69 v7 & i(v4) = v5 & triple(v1, create_slb, v3) = v6 & triple(v0, create_slb,
% 14.20/2.69 v2) = v4 & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 14.20/2.69 $i(v0))
% 14.20/2.69
% 14.20/2.69 (function-axioms)
% 14.20/2.71 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0
% 14.20/2.71 | ~ (triple(v4, v3, v2) = v1) | ~ (triple(v4, v3, v2) = v0)) & ! [v0:
% 14.20/2.71 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 14.20/2.71 : ! [v4: $i] : (v1 = v0 | ~ (pair_in_list(v4, v3, v2) = v1) | ~
% 14.20/2.71 (pair_in_list(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 14.20/2.71 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 14.20/2.71 (pi_sharp_removemin(v3, v2) = v1) | ~ (pi_sharp_removemin(v3, v2) = v0)) &
% 14.20/2.71 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 14.20/2.71 $i] : (v1 = v0 | ~ (pi_sharp_find_min(v3, v2) = v1) | ~
% 14.20/2.71 (pi_sharp_find_min(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 14.20/2.71 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 14.20/2.71 (pi_remove(v3, v2) = v1) | ~ (pi_remove(v3, v2) = v0)) & ! [v0:
% 14.20/2.71 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 14.20/2.71 : (v1 = v0 | ~ (pi_sharp_remove(v3, v2) = v1) | ~ (pi_sharp_remove(v3, v2) =
% 14.20/2.71 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 |
% 14.20/2.71 ~ (remove_pqp(v3, v2) = v1) | ~ (remove_pqp(v3, v2) = v0)) & ! [v0: $i] :
% 14.20/2.71 ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (insert_pqp(v3, v2) =
% 14.20/2.71 v1) | ~ (insert_pqp(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 14.20/2.71 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 14.20/2.71 (contains_cpq(v3, v2) = v1) | ~ (contains_cpq(v3, v2) = v0)) & ! [v0: $i]
% 14.20/2.71 : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (remove_cpq(v3, v2)
% 14.20/2.71 = v1) | ~ (remove_cpq(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 14.20/2.71 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (insert_cpq(v3, v2) = v1) | ~
% 14.20/2.71 (insert_cpq(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 14.20/2.71 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (succ_cpq(v3,
% 14.20/2.71 v2) = v1) | ~ (succ_cpq(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 14.20/2.71 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (update_slb(v3, v2) = v1) | ~
% 14.20/2.71 (update_slb(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 14.20/2.71 [v3: $i] : (v1 = v0 | ~ (lookup_slb(v3, v2) = v1) | ~ (lookup_slb(v3, v2) =
% 14.20/2.71 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 |
% 14.20/2.71 ~ (remove_slb(v3, v2) = v1) | ~ (remove_slb(v3, v2) = v0)) & ! [v0:
% 14.20/2.71 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 14.20/2.71 : (v1 = v0 | ~ (contains_slb(v3, v2) = v1) | ~ (contains_slb(v3, v2) = v0))
% 14.20/2.71 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 14.20/2.71 (pair(v3, v2) = v1) | ~ (pair(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] :
% 14.20/2.71 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (insert_slb(v3, v2) = v1) | ~
% 14.20/2.71 (insert_slb(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 14.20/2.71 [v3: $i] : (v1 = v0 | ~ (removemin_pq_res(v3, v2) = v1) | ~
% 14.20/2.71 (removemin_pq_res(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 14.20/2.71 ! [v3: $i] : (v1 = v0 | ~ (removemin_pq_eff(v3, v2) = v1) | ~
% 14.20/2.71 (removemin_pq_eff(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 14.20/2.71 ! [v3: $i] : (v1 = v0 | ~ (findmin_pq_res(v3, v2) = v1) | ~
% 14.20/2.71 (findmin_pq_res(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 14.20/2.71 ! [v3: $i] : (v1 = v0 | ~ (findmin_pq_eff(v3, v2) = v1) | ~
% 14.20/2.71 (findmin_pq_eff(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 14.20/2.71 ! [v3: $i] : (v1 = v0 | ~ (remove_pq(v3, v2) = v1) | ~ (remove_pq(v3, v2) =
% 14.20/2.71 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 14.20/2.71 $i] : ! [v3: $i] : (v1 = v0 | ~ (issmallestelement_pq(v3, v2) = v1) | ~
% 14.20/2.71 (issmallestelement_pq(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 14.20/2.71 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 14.20/2.71 (contains_pq(v3, v2) = v1) | ~ (contains_pq(v3, v2) = v0)) & ! [v0: $i] :
% 14.20/2.71 ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (insert_pq(v3, v2) =
% 14.20/2.71 v1) | ~ (insert_pq(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 14.20/2.71 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 14.20/2.71 (strictly_less_than(v3, v2) = v1) | ~ (strictly_less_than(v3, v2) = v0)) &
% 14.20/2.71 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 14.20/2.71 $i] : (v1 = v0 | ~ (less_than(v3, v2) = v1) | ~ (less_than(v3, v2) = v0))
% 14.20/2.71 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1
% 14.20/2.71 = v0 | ~ (phi(v2) = v1) | ~ (phi(v2) = v0)) & ! [v0: MultipleValueBool] :
% 14.20/2.71 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (pi_removemin(v2) =
% 14.20/2.71 v1) | ~ (pi_removemin(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 14.20/2.71 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (pi_find_min(v2) = v1) | ~
% 14.20/2.71 (pi_find_min(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0
% 14.20/2.71 | ~ (i(v2) = v1) | ~ (i(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 14.20/2.71 $i] : (v1 = v0 | ~ (removemin_cpq_res(v2) = v1) | ~ (removemin_cpq_res(v2)
% 14.20/2.71 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 14.20/2.71 (findmin_cpq_res(v2) = v1) | ~ (findmin_cpq_res(v2) = v0)) & ! [v0: $i] :
% 14.20/2.71 ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (findmin_pqp_res(v2) = v1) | ~
% 14.20/2.71 (findmin_pqp_res(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 14.20/2.71 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (ok(v2) = v1) | ~ (ok(v2)
% 14.20/2.71 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 14.20/2.71 $i] : (v1 = v0 | ~ (check_cpq(v2) = v1) | ~ (check_cpq(v2) = v0)) & !
% 14.20/2.71 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (removemin_cpq_eff(v2) =
% 14.20/2.71 v1) | ~ (removemin_cpq_eff(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 14.20/2.71 [v2: $i] : (v1 = v0 | ~ (findmin_cpq_eff(v2) = v1) | ~ (findmin_cpq_eff(v2)
% 14.20/2.71 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 14.20/2.71 $i] : (v1 = v0 | ~ (isnonempty_slb(v2) = v1) | ~ (isnonempty_slb(v2) =
% 14.20/2.71 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 14.20/2.71 $i] : (v1 = v0 | ~ (isnonempty_pq(v2) = v1) | ~ (isnonempty_pq(v2) = v0))
% 14.20/2.71
% 14.20/2.71 Further assumptions not needed in the proof:
% 14.20/2.71 --------------------------------------------
% 14.20/2.71 ax10, ax11, ax12, ax13, ax14, ax15, ax16, ax17, ax18, ax19, ax20, ax21, ax22,
% 14.20/2.71 ax23, ax24, ax25, ax26, ax27, ax28, ax29, ax30, ax31, ax32, ax33, ax34, ax35,
% 14.20/2.71 ax36, ax37, ax38, ax39, ax40, ax41, ax42, ax43, ax44, ax45, ax46, ax47, ax48,
% 14.20/2.71 ax49, ax50, ax51, ax52, ax53, ax55, ax56, ax57, ax58, ax59, ax6, ax60, ax61,
% 14.20/2.71 ax62, ax7, ax8, ax9, bottom_smallest, reflexivity, stricly_smaller_definition,
% 14.20/2.71 totality, transitivity
% 14.20/2.71
% 14.20/2.71 Those formulas are unsatisfiable:
% 14.20/2.71 ---------------------------------
% 14.20/2.71
% 14.20/2.71 Begin of proof
% 14.20/2.71 |
% 14.20/2.72 | ALPHA: (ax54) implies:
% 14.20/2.72 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (triple(v0, create_slb,
% 14.20/2.72 | v1) = v2) | ~ $i(v1) | ~ $i(v0) | i(v2) = create_pq)
% 14.20/2.72 |
% 14.20/2.72 | ALPHA: (l1_co) implies:
% 14.20/2.72 | (2) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 14.20/2.72 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ( ~ (v7 = v5) & i(v6) = v7 &
% 14.20/2.72 | i(v4) = v5 & triple(v1, create_slb, v3) = v6 & triple(v0, create_slb,
% 14.20/2.72 | v2) = v4 & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 14.20/2.72 | $i(v1) & $i(v0))
% 14.20/2.72 |
% 14.20/2.72 | ALPHA: (function-axioms) implies:
% 14.20/2.72 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (i(v2) = v1) |
% 14.20/2.72 | ~ (i(v2) = v0))
% 14.20/2.72 |
% 14.20/2.72 | DELTA: instantiating (2) with fresh symbols all_66_0, all_66_1, all_66_2,
% 14.20/2.72 | all_66_3, all_66_4, all_66_5, all_66_6, all_66_7 gives:
% 14.20/2.72 | (4) ~ (all_66_0 = all_66_2) & i(all_66_1) = all_66_0 & i(all_66_3) =
% 14.20/2.72 | all_66_2 & triple(all_66_6, create_slb, all_66_4) = all_66_1 &
% 14.20/2.72 | triple(all_66_7, create_slb, all_66_5) = all_66_3 & $i(all_66_0) &
% 14.20/2.72 | $i(all_66_1) & $i(all_66_2) & $i(all_66_3) & $i(all_66_4) &
% 14.20/2.72 | $i(all_66_5) & $i(all_66_6) & $i(all_66_7)
% 14.20/2.72 |
% 14.20/2.72 | ALPHA: (4) implies:
% 14.20/2.72 | (5) ~ (all_66_0 = all_66_2)
% 14.20/2.72 | (6) $i(all_66_7)
% 14.20/2.72 | (7) $i(all_66_6)
% 14.20/2.72 | (8) $i(all_66_5)
% 14.20/2.72 | (9) $i(all_66_4)
% 14.20/2.72 | (10) triple(all_66_7, create_slb, all_66_5) = all_66_3
% 14.20/2.72 | (11) triple(all_66_6, create_slb, all_66_4) = all_66_1
% 14.20/2.72 | (12) i(all_66_3) = all_66_2
% 14.63/2.72 | (13) i(all_66_1) = all_66_0
% 14.63/2.72 |
% 14.63/2.73 | GROUND_INST: instantiating (1) with all_66_7, all_66_5, all_66_3, simplifying
% 14.63/2.73 | with (6), (8), (10) gives:
% 14.63/2.73 | (14) i(all_66_3) = create_pq
% 14.63/2.73 |
% 14.63/2.73 | GROUND_INST: instantiating (1) with all_66_6, all_66_4, all_66_1, simplifying
% 14.63/2.73 | with (7), (9), (11) gives:
% 14.63/2.73 | (15) i(all_66_1) = create_pq
% 14.63/2.73 |
% 14.63/2.73 | GROUND_INST: instantiating (3) with all_66_2, create_pq, all_66_3, simplifying
% 14.63/2.73 | with (12), (14) gives:
% 14.63/2.73 | (16) all_66_2 = create_pq
% 14.63/2.73 |
% 14.63/2.73 | GROUND_INST: instantiating (3) with all_66_0, create_pq, all_66_1, simplifying
% 14.63/2.73 | with (13), (15) gives:
% 14.63/2.73 | (17) all_66_0 = create_pq
% 14.63/2.73 |
% 14.63/2.73 | REDUCE: (5), (16), (17) imply:
% 14.63/2.73 | (18) $false
% 14.63/2.73 |
% 14.63/2.73 | CLOSE: (18) is inconsistent.
% 14.63/2.73 |
% 14.63/2.73 End of proof
% 14.63/2.73 % SZS output end Proof for theBenchmark
% 14.63/2.73
% 14.63/2.73 2107ms
%------------------------------------------------------------------------------