TSTP Solution File: KRS103+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : KRS103+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n009.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 05:51:15 EDT 2023
% Result : Unsatisfiable 14.01s 2.64s
% Output : Proof 15.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KRS103+1 : TPTP v8.1.2. Released v3.1.0.
% 0.06/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 28 02:03:05 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.66/0.65 ________ _____
% 0.66/0.65 ___ __ \_________(_)________________________________
% 0.66/0.65 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.66/0.65 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.66/0.65 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.66/0.65
% 0.66/0.65 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.66/0.65 (2023-06-19)
% 0.66/0.65
% 0.66/0.65 (c) Philipp Rümmer, 2009-2023
% 0.66/0.65 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.66/0.65 Amanda Stjerna.
% 0.66/0.65 Free software under BSD-3-Clause.
% 0.66/0.65
% 0.66/0.65 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.66/0.65
% 0.66/0.65 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.66/0.67 Running up to 7 provers in parallel.
% 0.82/0.69 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.82/0.69 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.82/0.69 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.82/0.69 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.82/0.69 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.82/0.69 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.82/0.69 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.96/1.22 Prover 1: Preprocessing ...
% 2.96/1.22 Prover 4: Preprocessing ...
% 3.53/1.26 Prover 5: Preprocessing ...
% 3.53/1.26 Prover 2: Preprocessing ...
% 3.53/1.26 Prover 0: Preprocessing ...
% 3.53/1.26 Prover 3: Preprocessing ...
% 3.53/1.26 Prover 6: Preprocessing ...
% 6.08/1.64 Prover 5: Proving ...
% 6.08/1.65 Prover 2: Proving ...
% 7.33/1.78 Prover 1: Constructing countermodel ...
% 7.81/1.82 Prover 3: Constructing countermodel ...
% 8.13/1.89 Prover 6: Constructing countermodel ...
% 8.13/1.90 Prover 3: gave up
% 8.13/1.90 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 8.13/1.90 Prover 1: gave up
% 8.13/1.91 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 8.13/1.91 Prover 6: gave up
% 8.13/1.93 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 9.01/1.98 Prover 7: Preprocessing ...
% 9.01/1.99 Prover 8: Preprocessing ...
% 9.01/2.00 Prover 9: Preprocessing ...
% 9.01/2.02 Prover 7: Warning: ignoring some quantifiers
% 9.41/2.04 Prover 7: Constructing countermodel ...
% 10.06/2.14 Prover 4: Constructing countermodel ...
% 10.06/2.15 Prover 8: Warning: ignoring some quantifiers
% 10.06/2.16 Prover 8: Constructing countermodel ...
% 11.13/2.27 Prover 8: gave up
% 11.13/2.28 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 11.80/2.35 Prover 10: Preprocessing ...
% 11.80/2.39 Prover 10: Warning: ignoring some quantifiers
% 11.80/2.40 Prover 10: Constructing countermodel ...
% 11.80/2.41 Prover 0: Proving ...
% 13.40/2.58 Prover 9: Constructing countermodel ...
% 14.01/2.64 Prover 2: proved (1954ms)
% 14.01/2.64
% 14.01/2.64 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.01/2.64
% 14.01/2.64 Prover 9: stopped
% 14.01/2.64 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 14.01/2.64 Prover 5: stopped
% 14.10/2.65 Prover 0: stopped
% 14.10/2.66 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 14.10/2.66 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 14.10/2.66 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 14.10/2.68 Prover 11: Preprocessing ...
% 14.10/2.69 Prover 16: Preprocessing ...
% 14.10/2.70 Prover 13: Preprocessing ...
% 14.10/2.72 Prover 7: Found proof (size 527)
% 14.10/2.72 Prover 7: proved (818ms)
% 14.10/2.72 Prover 10: stopped
% 14.10/2.72 Prover 16: stopped
% 14.10/2.72 Prover 4: stopped
% 14.67/2.73 Prover 13: Warning: ignoring some quantifiers
% 14.67/2.73 Prover 19: Preprocessing ...
% 14.67/2.73 Prover 13: Constructing countermodel ...
% 14.67/2.73 Prover 13: stopped
% 14.67/2.77 Prover 11: stopped
% 15.01/2.82 Prover 19: Warning: ignoring some quantifiers
% 15.01/2.83 Prover 19: Constructing countermodel ...
% 15.01/2.84 Prover 19: stopped
% 15.01/2.84
% 15.01/2.84 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.01/2.84
% 15.01/2.86 % SZS output start Proof for theBenchmark
% 15.43/2.86 Assumptions after simplification:
% 15.43/2.86 ---------------------------------
% 15.43/2.86
% 15.43/2.86 (axiom_11)
% 15.43/2.86 ! [v0: $i] : ( ~ $i(v0) | ~ cTest(v0) | cplus4(v0) | cplus6(v0) |
% 15.43/2.87 cminus8(v0))
% 15.43/2.87
% 15.43/2.87 (axiom_12)
% 15.43/2.87 ! [v0: $i] : ( ~ $i(v0) | ~ cTest(v0) | cminus1(v0) | cplus6(v0) |
% 15.43/2.87 cminus4(v0))
% 15.43/2.87
% 15.43/2.87 (axiom_19)
% 15.43/2.87 ! [v0: $i] : ( ~ $i(v0) | ~ cTest(v0) | cplus2(v0) | cminus6(v0) |
% 15.43/2.87 cplus1(v0))
% 15.43/2.87
% 15.43/2.87 (axiom_2)
% 15.43/2.87 ! [v0: $i] : ( ~ $i(v0) | ~ cTest(v0) | cminus6(v0) | cplus9(v0) |
% 15.43/2.87 cplus1(v0))
% 15.43/2.87
% 15.43/2.87 (axiom_20)
% 15.43/2.87 ! [v0: $i] : ( ~ $i(v0) | ~ cTest(v0) | cplus2(v0) | cplus8(v0) |
% 15.43/2.87 cminus3(v0))
% 15.43/2.87
% 15.43/2.87 (axiom_21)
% 15.43/2.87 ! [v0: $i] : ( ~ $i(v0) | ~ cTest(v0) | cminus2(v0) | cplus4(v0) |
% 15.43/2.87 cminus6(v0))
% 15.43/2.87
% 15.43/2.87 (axiom_22)
% 15.43/2.87 ! [v0: $i] : ( ~ $i(v0) | ~ cTest(v0) | cminus2(v0) | cminus7(v0) |
% 15.43/2.87 cplus6(v0))
% 15.43/2.87
% 15.43/2.87 (axiom_25)
% 15.43/2.87 ! [v0: $i] : ( ~ $i(v0) | ~ cTest(v0) | cplus4(v0) | cplus3(v0) |
% 15.43/2.87 cplus9(v0))
% 15.43/2.87
% 15.43/2.87 (axiom_26)
% 15.43/2.87 ! [v0: $i] : ( ~ $i(v0) | ~ cTest(v0) | cplus2(v0) | cminus7(v0) |
% 15.43/2.87 cminus5(v0))
% 15.43/2.87
% 15.43/2.87 (axiom_27)
% 15.43/2.87 ! [v0: $i] : ( ~ $i(v0) | ~ cTest(v0) | cplus4(v0) | cplus6(v0) |
% 15.43/2.87 cminus5(v0))
% 15.43/2.87
% 15.43/2.87 (axiom_28)
% 15.43/2.87 ! [v0: $i] : ( ~ $i(v0) | ~ cTest(v0) | cplus4(v0) | cminus9(v0) |
% 15.43/2.87 cplus3(v0))
% 15.43/2.87
% 15.43/2.87 (axiom_29)
% 15.43/2.87 ! [v0: $i] : ( ~ $i(v0) | ~ cTest(v0) | cminus7(v0) | cminus4(v0) |
% 15.43/2.87 cminus3(v0))
% 15.43/2.87
% 15.43/2.87 (axiom_3)
% 15.43/2.88 ! [v0: $i] : ( ~ $i(v0) | ~ cTest(v0) | cminus8(v0) | cminus5(v0) |
% 15.43/2.88 cminus3(v0))
% 15.43/2.88
% 15.43/2.88 (axiom_30)
% 15.43/2.88 ! [v0: $i] : ( ~ $i(v0) | ~ cTest(v0) | cminus4(v0) | cplus9(v0) |
% 15.43/2.88 cplus1(v0))
% 15.43/2.88
% 15.43/2.88 (axiom_31)
% 15.43/2.88 ! [v0: $i] : ( ~ $i(v0) | ~ cTest(v0) | cminus4(v0) | cminus8(v0) |
% 15.43/2.88 cplus9(v0))
% 15.43/2.88
% 15.43/2.88 (axiom_33)
% 15.43/2.88 ! [v0: $i] : ( ~ $i(v0) | ~ cTest(v0) | cminus2(v0) | cminus9(v0) |
% 15.43/2.88 cplus7(v0))
% 15.43/2.88
% 15.43/2.88 (axiom_34)
% 15.43/2.88 ! [v0: $i] : ( ~ $i(v0) | ~ cTest(v0) | cminus4(v0) | cplus7(v0) |
% 15.43/2.88 cplus9(v0))
% 15.43/2.88
% 15.43/2.88 (axiom_35)
% 15.43/2.88 ! [v0: $i] : ( ~ $i(v0) | ~ cTest(v0) | cminus2(v0) | cminus9(v0) |
% 15.43/2.88 cplus3(v0))
% 15.43/2.88
% 15.43/2.88 (axiom_36)
% 15.43/2.88 ! [v0: $i] : ( ~ $i(v0) | ~ cTest(v0) | cplus2(v0) | cminus1(v0) |
% 15.43/2.88 cplus4(v0))
% 15.43/2.88
% 15.43/2.88 (axiom_39)
% 15.43/2.88 ! [v0: $i] : ( ~ $i(v0) | ~ cTest(v0) | cminus2(v0) | cplus3(v0) |
% 15.43/2.88 cminus8(v0))
% 15.43/2.88
% 15.43/2.88 (axiom_4)
% 15.43/2.88 ! [v0: $i] : ( ~ $i(v0) | ~ cTest(v0) | cplus8(v0) | cplus7(v0) |
% 15.43/2.88 cminus3(v0))
% 15.43/2.88
% 15.43/2.88 (axiom_40)
% 15.43/2.88 ! [v0: $i] : ( ~ $i(v0) | ~ cTest(v0) | cminus9(v0) | cplus3(v0) |
% 15.43/2.88 cminus5(v0))
% 15.43/2.88
% 15.43/2.88 (axiom_43)
% 15.43/2.88 ! [v0: $i] : ( ~ $i(v0) | ~ cTest(v0) | cminus9(v0) | cminus6(v0) |
% 15.43/2.88 cplus1(v0))
% 15.43/2.88
% 15.43/2.88 (axiom_45)
% 15.43/2.88 ! [v0: $i] : ( ~ $i(v0) | ~ cTest(v0) | cplus2(v0) | cminus4(v0) |
% 15.43/2.88 cplus8(v0))
% 15.43/2.88
% 15.43/2.88 (axiom_46)
% 15.43/2.88 ! [v0: $i] : ( ~ $i(v0) | ~ cTest(v0) | cplus8(v0) | cplus7(v0) |
% 15.43/2.88 cminus5(v0))
% 15.43/2.88
% 15.43/2.88 (axiom_47)
% 15.43/2.88 $i(i2003_11_14_17_20_46476) & cTest(i2003_11_14_17_20_46476)
% 15.43/2.88
% 15.43/2.88 (axiom_48)
% 15.54/2.88 ! [v0: $i] : ( ~ $i(v0) | ~ cplus8(v0) | ~ cminus8(v0))
% 15.54/2.88
% 15.54/2.88 (axiom_49)
% 15.54/2.88 ! [v0: $i] : ( ~ $i(v0) | ~ cminus9(v0) | ~ cplus9(v0))
% 15.54/2.88
% 15.54/2.88 (axiom_50)
% 15.54/2.88 ! [v0: $i] : ( ~ $i(v0) | ~ cplus4(v0) | ~ cminus4(v0))
% 15.54/2.88
% 15.54/2.88 (axiom_51)
% 15.54/2.88 ! [v0: $i] : ( ~ $i(v0) | ~ cminus7(v0) | ~ cplus7(v0))
% 15.54/2.88
% 15.54/2.88 (axiom_52)
% 15.54/2.89 ! [v0: $i] : ( ~ $i(v0) | ~ cplus3(v0) | ~ cminus3(v0))
% 15.54/2.89
% 15.54/2.89 (axiom_54)
% 15.54/2.89 ! [v0: $i] : ( ~ $i(v0) | ~ cminus2(v0) | ~ cplus2(v0))
% 15.54/2.89
% 15.54/2.89 (axiom_55)
% 15.54/2.89 ! [v0: $i] : ( ~ $i(v0) | ~ cminus1(v0) | ~ cplus1(v0))
% 15.54/2.89
% 15.54/2.89 (axiom_56)
% 15.54/2.89 ! [v0: $i] : ( ~ $i(v0) | ~ cplus6(v0) | ~ cminus6(v0))
% 15.54/2.89
% 15.54/2.89 (axiom_6)
% 15.54/2.89 ! [v0: $i] : ( ~ $i(v0) | ~ cTest(v0) | cminus7(v0) | cplus3(v0) |
% 15.54/2.89 cplus8(v0))
% 15.54/2.89
% 15.54/2.89 (axiom_9)
% 15.54/2.89 ! [v0: $i] : ( ~ $i(v0) | ~ cTest(v0) | cminus9(v0) | cminus4(v0) |
% 15.54/2.89 cminus8(v0))
% 15.54/2.89
% 15.54/2.89 Further assumptions not needed in the proof:
% 15.54/2.89 --------------------------------------------
% 15.54/2.89 axiom_0, axiom_1, axiom_10, axiom_13, axiom_14, axiom_15, axiom_16, axiom_17,
% 15.54/2.89 axiom_18, axiom_23, axiom_24, axiom_32, axiom_37, axiom_38, axiom_41, axiom_42,
% 15.54/2.89 axiom_44, axiom_5, axiom_53, axiom_7, axiom_8
% 15.54/2.89
% 15.54/2.89 Those formulas are unsatisfiable:
% 15.54/2.89 ---------------------------------
% 15.54/2.89
% 15.54/2.89 Begin of proof
% 15.54/2.89 |
% 15.54/2.89 | ALPHA: (axiom_47) implies:
% 15.54/2.89 | (1) cTest(i2003_11_14_17_20_46476)
% 15.54/2.89 | (2) $i(i2003_11_14_17_20_46476)
% 15.54/2.89 |
% 15.54/2.89 | GROUND_INST: instantiating (axiom_21) with i2003_11_14_17_20_46476,
% 15.54/2.89 | simplifying with (1), (2) gives:
% 15.54/2.89 | (3) cminus2(i2003_11_14_17_20_46476) | cplus4(i2003_11_14_17_20_46476) |
% 15.54/2.89 | cminus6(i2003_11_14_17_20_46476)
% 15.54/2.89 |
% 15.54/2.89 | GROUND_INST: instantiating (axiom_35) with i2003_11_14_17_20_46476,
% 15.54/2.89 | simplifying with (1), (2) gives:
% 15.54/2.89 | (4) cminus2(i2003_11_14_17_20_46476) | cminus9(i2003_11_14_17_20_46476) |
% 15.54/2.89 | cplus3(i2003_11_14_17_20_46476)
% 15.54/2.89 |
% 15.54/2.89 | GROUND_INST: instantiating (axiom_33) with i2003_11_14_17_20_46476,
% 15.54/2.89 | simplifying with (1), (2) gives:
% 15.54/2.89 | (5) cminus2(i2003_11_14_17_20_46476) | cminus9(i2003_11_14_17_20_46476) |
% 15.54/2.89 | cplus7(i2003_11_14_17_20_46476)
% 15.54/2.89 |
% 15.54/2.89 | GROUND_INST: instantiating (axiom_22) with i2003_11_14_17_20_46476,
% 15.54/2.89 | simplifying with (1), (2) gives:
% 15.54/2.89 | (6) cminus2(i2003_11_14_17_20_46476) | cminus7(i2003_11_14_17_20_46476) |
% 15.54/2.89 | cplus6(i2003_11_14_17_20_46476)
% 15.54/2.89 |
% 15.54/2.89 | GROUND_INST: instantiating (axiom_39) with i2003_11_14_17_20_46476,
% 15.54/2.89 | simplifying with (1), (2) gives:
% 15.54/2.89 | (7) cminus2(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) |
% 15.54/2.89 | cminus8(i2003_11_14_17_20_46476)
% 15.54/2.89 |
% 15.54/2.89 | GROUND_INST: instantiating (axiom_36) with i2003_11_14_17_20_46476,
% 15.54/2.89 | simplifying with (1), (2) gives:
% 15.54/2.89 | (8) cplus2(i2003_11_14_17_20_46476) | cminus1(i2003_11_14_17_20_46476) |
% 15.54/2.89 | cplus4(i2003_11_14_17_20_46476)
% 15.54/2.89 |
% 15.54/2.89 | GROUND_INST: instantiating (axiom_26) with i2003_11_14_17_20_46476,
% 15.54/2.89 | simplifying with (1), (2) gives:
% 15.54/2.90 | (9) cplus2(i2003_11_14_17_20_46476) | cminus7(i2003_11_14_17_20_46476) |
% 15.54/2.90 | cminus5(i2003_11_14_17_20_46476)
% 15.54/2.90 |
% 15.54/2.90 | GROUND_INST: instantiating (axiom_45) with i2003_11_14_17_20_46476,
% 15.54/2.90 | simplifying with (1), (2) gives:
% 15.54/2.90 | (10) cplus2(i2003_11_14_17_20_46476) | cminus4(i2003_11_14_17_20_46476) |
% 15.54/2.90 | cplus8(i2003_11_14_17_20_46476)
% 15.54/2.90 |
% 15.54/2.90 | GROUND_INST: instantiating (axiom_20) with i2003_11_14_17_20_46476,
% 15.54/2.90 | simplifying with (1), (2) gives:
% 15.54/2.90 | (11) cplus2(i2003_11_14_17_20_46476) | cplus8(i2003_11_14_17_20_46476) |
% 15.54/2.90 | cminus3(i2003_11_14_17_20_46476)
% 15.54/2.90 |
% 15.54/2.90 | GROUND_INST: instantiating (axiom_19) with i2003_11_14_17_20_46476,
% 15.54/2.90 | simplifying with (1), (2) gives:
% 15.54/2.90 | (12) cplus2(i2003_11_14_17_20_46476) | cminus6(i2003_11_14_17_20_46476) |
% 15.54/2.90 | cplus1(i2003_11_14_17_20_46476)
% 15.54/2.90 |
% 15.54/2.90 | GROUND_INST: instantiating (axiom_12) with i2003_11_14_17_20_46476,
% 15.54/2.90 | simplifying with (1), (2) gives:
% 15.54/2.90 | (13) cminus1(i2003_11_14_17_20_46476) | cplus6(i2003_11_14_17_20_46476) |
% 15.54/2.90 | cminus4(i2003_11_14_17_20_46476)
% 15.54/2.90 |
% 15.54/2.90 | GROUND_INST: instantiating (axiom_28) with i2003_11_14_17_20_46476,
% 15.54/2.90 | simplifying with (1), (2) gives:
% 15.54/2.90 | (14) cplus4(i2003_11_14_17_20_46476) | cminus9(i2003_11_14_17_20_46476) |
% 15.54/2.90 | cplus3(i2003_11_14_17_20_46476)
% 15.54/2.90 |
% 15.54/2.90 | GROUND_INST: instantiating (axiom_25) with i2003_11_14_17_20_46476,
% 15.54/2.90 | simplifying with (1), (2) gives:
% 15.54/2.90 | (15) cplus4(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) |
% 15.54/2.90 | cplus9(i2003_11_14_17_20_46476)
% 15.54/2.90 |
% 15.54/2.90 | GROUND_INST: instantiating (axiom_11) with i2003_11_14_17_20_46476,
% 15.54/2.90 | simplifying with (1), (2) gives:
% 15.54/2.90 | (16) cplus4(i2003_11_14_17_20_46476) | cplus6(i2003_11_14_17_20_46476) |
% 15.54/2.90 | cminus8(i2003_11_14_17_20_46476)
% 15.54/2.90 |
% 15.54/2.90 | GROUND_INST: instantiating (axiom_27) with i2003_11_14_17_20_46476,
% 15.54/2.90 | simplifying with (1), (2) gives:
% 15.54/2.90 | (17) cplus4(i2003_11_14_17_20_46476) | cplus6(i2003_11_14_17_20_46476) |
% 15.54/2.90 | cminus5(i2003_11_14_17_20_46476)
% 15.54/2.90 |
% 15.54/2.90 | GROUND_INST: instantiating (axiom_40) with i2003_11_14_17_20_46476,
% 15.54/2.90 | simplifying with (1), (2) gives:
% 15.54/2.90 | (18) cminus9(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) |
% 15.54/2.90 | cminus5(i2003_11_14_17_20_46476)
% 15.54/2.90 |
% 15.54/2.90 | GROUND_INST: instantiating (axiom_9) with i2003_11_14_17_20_46476, simplifying
% 15.54/2.90 | with (1), (2) gives:
% 15.54/2.90 | (19) cminus9(i2003_11_14_17_20_46476) | cminus4(i2003_11_14_17_20_46476) |
% 15.54/2.90 | cminus8(i2003_11_14_17_20_46476)
% 15.54/2.90 |
% 15.54/2.90 | GROUND_INST: instantiating (axiom_43) with i2003_11_14_17_20_46476,
% 15.54/2.90 | simplifying with (1), (2) gives:
% 15.54/2.90 | (20) cminus9(i2003_11_14_17_20_46476) | cminus6(i2003_11_14_17_20_46476) |
% 15.54/2.90 | cplus1(i2003_11_14_17_20_46476)
% 15.54/2.90 |
% 15.54/2.90 | GROUND_INST: instantiating (axiom_6) with i2003_11_14_17_20_46476, simplifying
% 15.54/2.90 | with (1), (2) gives:
% 15.54/2.90 | (21) cminus7(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) |
% 15.54/2.90 | cplus8(i2003_11_14_17_20_46476)
% 15.54/2.90 |
% 15.54/2.90 | GROUND_INST: instantiating (axiom_29) with i2003_11_14_17_20_46476,
% 15.54/2.90 | simplifying with (1), (2) gives:
% 15.54/2.90 | (22) cminus7(i2003_11_14_17_20_46476) | cminus4(i2003_11_14_17_20_46476) |
% 15.54/2.90 | cminus3(i2003_11_14_17_20_46476)
% 15.54/2.90 |
% 15.54/2.90 | GROUND_INST: instantiating (axiom_34) with i2003_11_14_17_20_46476,
% 15.54/2.90 | simplifying with (1), (2) gives:
% 15.54/2.90 | (23) cminus4(i2003_11_14_17_20_46476) | cplus7(i2003_11_14_17_20_46476) |
% 15.54/2.90 | cplus9(i2003_11_14_17_20_46476)
% 15.54/2.90 |
% 15.54/2.90 | GROUND_INST: instantiating (axiom_31) with i2003_11_14_17_20_46476,
% 15.54/2.90 | simplifying with (1), (2) gives:
% 15.54/2.90 | (24) cminus4(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476) |
% 15.54/2.90 | cplus9(i2003_11_14_17_20_46476)
% 15.54/2.90 |
% 15.54/2.90 | GROUND_INST: instantiating (axiom_30) with i2003_11_14_17_20_46476,
% 15.54/2.90 | simplifying with (1), (2) gives:
% 15.54/2.90 | (25) cminus4(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476) |
% 15.54/2.90 | cplus1(i2003_11_14_17_20_46476)
% 15.54/2.90 |
% 15.54/2.90 | GROUND_INST: instantiating (axiom_46) with i2003_11_14_17_20_46476,
% 15.54/2.90 | simplifying with (1), (2) gives:
% 15.54/2.90 | (26) cplus8(i2003_11_14_17_20_46476) | cplus7(i2003_11_14_17_20_46476) |
% 15.54/2.90 | cminus5(i2003_11_14_17_20_46476)
% 15.54/2.90 |
% 15.54/2.90 | GROUND_INST: instantiating (axiom_4) with i2003_11_14_17_20_46476, simplifying
% 15.54/2.90 | with (1), (2) gives:
% 15.54/2.90 | (27) cplus8(i2003_11_14_17_20_46476) | cplus7(i2003_11_14_17_20_46476) |
% 15.54/2.90 | cminus3(i2003_11_14_17_20_46476)
% 15.54/2.90 |
% 15.54/2.90 | GROUND_INST: instantiating (axiom_3) with i2003_11_14_17_20_46476, simplifying
% 15.54/2.90 | with (1), (2) gives:
% 15.54/2.90 | (28) cminus8(i2003_11_14_17_20_46476) | cminus5(i2003_11_14_17_20_46476) |
% 15.54/2.90 | cminus3(i2003_11_14_17_20_46476)
% 15.54/2.90 |
% 15.54/2.91 | GROUND_INST: instantiating (axiom_2) with i2003_11_14_17_20_46476, simplifying
% 15.54/2.91 | with (1), (2) gives:
% 15.54/2.91 | (29) cminus6(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476) |
% 15.54/2.91 | cplus1(i2003_11_14_17_20_46476)
% 15.54/2.91 |
% 15.54/2.91 | BETA: splitting (29) gives:
% 15.54/2.91 |
% 15.54/2.91 | Case 1:
% 15.54/2.91 | |
% 15.54/2.91 | | (30) cminus6(i2003_11_14_17_20_46476)
% 15.54/2.91 | |
% 15.54/2.91 | | BETA: splitting (26) gives:
% 15.54/2.91 | |
% 15.54/2.91 | | Case 1:
% 15.54/2.91 | | |
% 15.54/2.91 | | | (31) cplus8(i2003_11_14_17_20_46476)
% 15.54/2.91 | | |
% 15.54/2.91 | | | BETA: splitting (25) gives:
% 15.54/2.91 | | |
% 15.54/2.91 | | | Case 1:
% 15.54/2.91 | | | |
% 15.54/2.91 | | | | (32) cminus4(i2003_11_14_17_20_46476)
% 15.54/2.91 | | | |
% 15.54/2.91 | | | | BETA: splitting (17) gives:
% 15.54/2.91 | | | |
% 15.54/2.91 | | | | Case 1:
% 15.54/2.91 | | | | |
% 15.54/2.91 | | | | | (33) cplus4(i2003_11_14_17_20_46476)
% 15.54/2.91 | | | | |
% 15.54/2.91 | | | | | GROUND_INST: instantiating (axiom_50) with i2003_11_14_17_20_46476,
% 15.54/2.91 | | | | | simplifying with (2), (32), (33) gives:
% 15.54/2.91 | | | | | (34) $false
% 15.54/2.91 | | | | |
% 15.54/2.91 | | | | | CLOSE: (34) is inconsistent.
% 15.54/2.91 | | | | |
% 15.54/2.91 | | | | Case 2:
% 15.54/2.91 | | | | |
% 15.54/2.91 | | | | | (35) ~ cplus4(i2003_11_14_17_20_46476)
% 15.54/2.91 | | | | |
% 15.54/2.91 | | | | | BETA: splitting (16) gives:
% 15.54/2.91 | | | | |
% 15.54/2.91 | | | | | Case 1:
% 15.54/2.91 | | | | | |
% 15.54/2.91 | | | | | | (36) cplus4(i2003_11_14_17_20_46476)
% 15.54/2.91 | | | | | |
% 15.54/2.91 | | | | | | PRED_UNIFY: (35), (36) imply:
% 15.54/2.91 | | | | | | (37) $false
% 15.54/2.91 | | | | | |
% 15.54/2.91 | | | | | | CLOSE: (37) is inconsistent.
% 15.54/2.91 | | | | | |
% 15.54/2.91 | | | | | Case 2:
% 15.54/2.91 | | | | | |
% 15.54/2.91 | | | | | | (38) cplus6(i2003_11_14_17_20_46476) |
% 15.54/2.91 | | | | | | cminus8(i2003_11_14_17_20_46476)
% 15.54/2.91 | | | | | |
% 15.54/2.91 | | | | | | BETA: splitting (38) gives:
% 15.54/2.91 | | | | | |
% 15.54/2.91 | | | | | | Case 1:
% 15.54/2.91 | | | | | | |
% 15.54/2.91 | | | | | | | (39) cplus6(i2003_11_14_17_20_46476)
% 15.54/2.91 | | | | | | |
% 15.54/2.91 | | | | | | | GROUND_INST: instantiating (axiom_56) with
% 15.54/2.91 | | | | | | | i2003_11_14_17_20_46476, simplifying with (2), (30),
% 15.54/2.91 | | | | | | | (39) gives:
% 15.54/2.91 | | | | | | | (40) $false
% 15.54/2.91 | | | | | | |
% 15.54/2.91 | | | | | | | CLOSE: (40) is inconsistent.
% 15.54/2.91 | | | | | | |
% 15.54/2.91 | | | | | | Case 2:
% 15.54/2.91 | | | | | | |
% 15.54/2.91 | | | | | | | (41) cminus8(i2003_11_14_17_20_46476)
% 15.54/2.91 | | | | | | |
% 15.54/2.91 | | | | | | | GROUND_INST: instantiating (axiom_48) with
% 15.54/2.91 | | | | | | | i2003_11_14_17_20_46476, simplifying with (2), (31),
% 15.54/2.91 | | | | | | | (41) gives:
% 15.54/2.91 | | | | | | | (42) $false
% 15.54/2.91 | | | | | | |
% 15.54/2.91 | | | | | | | CLOSE: (42) is inconsistent.
% 15.54/2.91 | | | | | | |
% 15.54/2.91 | | | | | | End of split
% 15.54/2.91 | | | | | |
% 15.54/2.91 | | | | | End of split
% 15.54/2.91 | | | | |
% 15.54/2.91 | | | | End of split
% 15.54/2.91 | | | |
% 15.54/2.91 | | | Case 2:
% 15.54/2.91 | | | |
% 15.54/2.91 | | | | (43) ~ cminus4(i2003_11_14_17_20_46476)
% 15.54/2.91 | | | |
% 15.54/2.91 | | | | REF_CLOSE: (2), (18), (19), (24), (28), (31), (43), (axiom_48),
% 15.54/2.91 | | | | (axiom_49) are inconsistent by sub-proof #9.
% 15.54/2.91 | | | |
% 15.54/2.91 | | | End of split
% 15.54/2.91 | | |
% 15.54/2.91 | | Case 2:
% 15.54/2.91 | | |
% 15.54/2.91 | | | (44) ~ cplus8(i2003_11_14_17_20_46476)
% 15.54/2.91 | | |
% 15.54/2.91 | | | BETA: splitting (25) gives:
% 15.54/2.91 | | |
% 15.54/2.91 | | | Case 1:
% 15.54/2.91 | | | |
% 15.54/2.91 | | | | (45) cminus4(i2003_11_14_17_20_46476)
% 15.54/2.91 | | | |
% 15.54/2.91 | | | | BETA: splitting (21) gives:
% 15.54/2.91 | | | |
% 15.54/2.91 | | | | Case 1:
% 15.54/2.91 | | | | |
% 15.54/2.91 | | | | | (46) cminus7(i2003_11_14_17_20_46476)
% 15.54/2.91 | | | | |
% 15.54/2.91 | | | | | BETA: splitting (11) gives:
% 15.54/2.91 | | | | |
% 15.54/2.91 | | | | | Case 1:
% 15.54/2.91 | | | | | |
% 15.54/2.91 | | | | | | (47) cplus2(i2003_11_14_17_20_46476)
% 15.54/2.91 | | | | | |
% 15.54/2.91 | | | | | | BETA: splitting (27) gives:
% 15.54/2.91 | | | | | |
% 15.54/2.91 | | | | | | Case 1:
% 15.54/2.91 | | | | | | |
% 15.54/2.91 | | | | | | | (48) cplus8(i2003_11_14_17_20_46476)
% 15.54/2.91 | | | | | | |
% 15.54/2.91 | | | | | | | PRED_UNIFY: (44), (48) imply:
% 15.54/2.91 | | | | | | | (49) $false
% 15.54/2.91 | | | | | | |
% 15.54/2.91 | | | | | | | CLOSE: (49) is inconsistent.
% 15.54/2.91 | | | | | | |
% 15.54/2.91 | | | | | | Case 2:
% 15.54/2.91 | | | | | | |
% 15.54/2.91 | | | | | | | (50) cplus7(i2003_11_14_17_20_46476) |
% 15.54/2.91 | | | | | | | cminus3(i2003_11_14_17_20_46476)
% 15.54/2.91 | | | | | | |
% 15.54/2.91 | | | | | | | BETA: splitting (5) gives:
% 15.54/2.91 | | | | | | |
% 15.54/2.91 | | | | | | | Case 1:
% 15.54/2.91 | | | | | | | |
% 15.54/2.91 | | | | | | | | (51) cminus2(i2003_11_14_17_20_46476)
% 15.54/2.91 | | | | | | | |
% 15.54/2.91 | | | | | | | | GROUND_INST: instantiating (axiom_54) with
% 15.54/2.91 | | | | | | | | i2003_11_14_17_20_46476, simplifying with (2),
% 15.54/2.91 | | | | | | | | (47), (51) gives:
% 15.54/2.91 | | | | | | | | (52) $false
% 15.54/2.91 | | | | | | | |
% 15.54/2.91 | | | | | | | | CLOSE: (52) is inconsistent.
% 15.54/2.91 | | | | | | | |
% 15.54/2.91 | | | | | | | Case 2:
% 15.54/2.91 | | | | | | | |
% 15.54/2.91 | | | | | | | | (53) cminus9(i2003_11_14_17_20_46476) |
% 15.54/2.91 | | | | | | | | cplus7(i2003_11_14_17_20_46476)
% 15.54/2.91 | | | | | | | |
% 15.54/2.91 | | | | | | | | BETA: splitting (18) gives:
% 15.54/2.91 | | | | | | | |
% 15.54/2.91 | | | | | | | | Case 1:
% 15.54/2.91 | | | | | | | | |
% 15.54/2.91 | | | | | | | | | (54) cminus9(i2003_11_14_17_20_46476)
% 15.54/2.91 | | | | | | | | |
% 15.54/2.91 | | | | | | | | | BETA: splitting (50) gives:
% 15.54/2.91 | | | | | | | | |
% 15.54/2.91 | | | | | | | | | Case 1:
% 15.54/2.91 | | | | | | | | | |
% 15.54/2.91 | | | | | | | | | | (55) cplus7(i2003_11_14_17_20_46476)
% 15.54/2.91 | | | | | | | | | |
% 15.54/2.91 | | | | | | | | | | GROUND_INST: instantiating (axiom_51) with
% 15.54/2.91 | | | | | | | | | | i2003_11_14_17_20_46476, simplifying with (2),
% 15.54/2.91 | | | | | | | | | | (46), (55) gives:
% 15.54/2.91 | | | | | | | | | | (56) $false
% 15.54/2.91 | | | | | | | | | |
% 15.54/2.91 | | | | | | | | | | CLOSE: (56) is inconsistent.
% 15.54/2.91 | | | | | | | | | |
% 15.54/2.91 | | | | | | | | | Case 2:
% 15.54/2.91 | | | | | | | | | |
% 15.54/2.91 | | | | | | | | | | (57) cminus3(i2003_11_14_17_20_46476)
% 15.54/2.91 | | | | | | | | | |
% 15.54/2.92 | | | | | | | | | | REF_CLOSE: (2), (15), (45), (54), (57), (axiom_49),
% 15.54/2.92 | | | | | | | | | | (axiom_50), (axiom_52) are inconsistent by
% 15.54/2.92 | | | | | | | | | | sub-proof #8.
% 15.54/2.92 | | | | | | | | | |
% 15.54/2.92 | | | | | | | | | End of split
% 15.54/2.92 | | | | | | | | |
% 15.54/2.92 | | | | | | | | Case 2:
% 15.54/2.92 | | | | | | | | |
% 15.54/2.92 | | | | | | | | | (58) ~ cminus9(i2003_11_14_17_20_46476)
% 15.54/2.92 | | | | | | | | |
% 15.54/2.92 | | | | | | | | | REF_CLOSE: (2), (46), (53), (58), (axiom_51) are inconsistent
% 15.54/2.92 | | | | | | | | | by sub-proof #7.
% 15.54/2.92 | | | | | | | | |
% 15.54/2.92 | | | | | | | | End of split
% 15.54/2.92 | | | | | | | |
% 15.54/2.92 | | | | | | | End of split
% 15.54/2.92 | | | | | | |
% 15.54/2.92 | | | | | | End of split
% 15.54/2.92 | | | | | |
% 15.54/2.92 | | | | | Case 2:
% 15.54/2.92 | | | | | |
% 15.54/2.92 | | | | | | (59) cplus8(i2003_11_14_17_20_46476) |
% 15.54/2.92 | | | | | | cminus3(i2003_11_14_17_20_46476)
% 15.54/2.92 | | | | | |
% 15.54/2.92 | | | | | | BETA: splitting (59) gives:
% 15.54/2.92 | | | | | |
% 15.54/2.92 | | | | | | Case 1:
% 15.54/2.92 | | | | | | |
% 15.54/2.92 | | | | | | | (60) cplus8(i2003_11_14_17_20_46476)
% 15.54/2.92 | | | | | | |
% 15.54/2.92 | | | | | | | PRED_UNIFY: (44), (60) imply:
% 15.54/2.92 | | | | | | | (61) $false
% 15.54/2.92 | | | | | | |
% 15.54/2.92 | | | | | | | CLOSE: (61) is inconsistent.
% 15.54/2.92 | | | | | | |
% 15.54/2.92 | | | | | | Case 2:
% 15.54/2.92 | | | | | | |
% 15.54/2.92 | | | | | | | (62) cminus3(i2003_11_14_17_20_46476)
% 15.54/2.92 | | | | | | |
% 15.54/2.92 | | | | | | | BETA: splitting (4) gives:
% 15.54/2.92 | | | | | | |
% 15.54/2.92 | | | | | | | Case 1:
% 15.54/2.92 | | | | | | | |
% 15.54/2.92 | | | | | | | | (63) cminus2(i2003_11_14_17_20_46476)
% 15.54/2.92 | | | | | | | |
% 15.54/2.92 | | | | | | | | REF_CLOSE: (2), (11), (14), (15), (20), (44), (45), (63),
% 15.54/2.92 | | | | | | | | (axiom_49), (axiom_50), (axiom_52), (axiom_54) are
% 15.54/2.92 | | | | | | | | inconsistent by sub-proof #5.
% 15.54/2.92 | | | | | | | |
% 15.54/2.92 | | | | | | | Case 2:
% 15.54/2.92 | | | | | | | |
% 15.54/2.92 | | | | | | | | (64) ~ cminus2(i2003_11_14_17_20_46476)
% 15.54/2.92 | | | | | | | |
% 15.54/2.92 | | | | | | | | BETA: splitting (18) gives:
% 15.54/2.92 | | | | | | | |
% 15.54/2.92 | | | | | | | | Case 1:
% 15.54/2.92 | | | | | | | | |
% 15.54/2.92 | | | | | | | | | (65) cminus9(i2003_11_14_17_20_46476)
% 15.54/2.92 | | | | | | | | |
% 15.54/2.92 | | | | | | | | | REF_CLOSE: (2), (15), (45), (62), (65), (axiom_49),
% 15.54/2.92 | | | | | | | | | (axiom_50), (axiom_52) are inconsistent by
% 15.54/2.92 | | | | | | | | | sub-proof #8.
% 15.54/2.92 | | | | | | | | |
% 15.54/2.92 | | | | | | | | Case 2:
% 15.54/2.92 | | | | | | | | |
% 15.54/2.92 | | | | | | | | | (66) ~ cminus9(i2003_11_14_17_20_46476)
% 15.54/2.92 | | | | | | | | |
% 15.54/2.92 | | | | | | | | | REF_CLOSE: (2), (5), (46), (64), (66), (axiom_51) are
% 15.54/2.92 | | | | | | | | | inconsistent by sub-proof #4.
% 15.54/2.92 | | | | | | | | |
% 15.54/2.92 | | | | | | | | End of split
% 15.54/2.92 | | | | | | | |
% 15.73/2.92 | | | | | | | End of split
% 15.73/2.92 | | | | | | |
% 15.73/2.92 | | | | | | End of split
% 15.73/2.92 | | | | | |
% 15.73/2.92 | | | | | End of split
% 15.73/2.92 | | | | |
% 15.73/2.92 | | | | Case 2:
% 15.73/2.92 | | | | |
% 15.73/2.92 | | | | | (67) ~ cminus7(i2003_11_14_17_20_46476)
% 15.73/2.92 | | | | | (68) cplus3(i2003_11_14_17_20_46476) |
% 15.73/2.92 | | | | | cplus8(i2003_11_14_17_20_46476)
% 15.73/2.92 | | | | |
% 15.73/2.92 | | | | | BETA: splitting (68) gives:
% 15.73/2.92 | | | | |
% 15.73/2.92 | | | | | Case 1:
% 15.73/2.92 | | | | | |
% 15.73/2.92 | | | | | | (69) cplus3(i2003_11_14_17_20_46476)
% 15.73/2.92 | | | | | |
% 15.73/2.92 | | | | | | BETA: splitting (9) gives:
% 15.73/2.92 | | | | | |
% 15.73/2.92 | | | | | | Case 1:
% 15.73/2.92 | | | | | | |
% 15.73/2.92 | | | | | | | (70) cplus2(i2003_11_14_17_20_46476)
% 15.73/2.92 | | | | | | |
% 15.73/2.92 | | | | | | | BETA: splitting (6) gives:
% 15.73/2.92 | | | | | | |
% 15.73/2.92 | | | | | | | Case 1:
% 15.73/2.92 | | | | | | | |
% 15.73/2.92 | | | | | | | | (71) cminus2(i2003_11_14_17_20_46476)
% 15.73/2.92 | | | | | | | |
% 15.73/2.92 | | | | | | | | GROUND_INST: instantiating (axiom_54) with
% 15.73/2.92 | | | | | | | | i2003_11_14_17_20_46476, simplifying with (2),
% 15.73/2.92 | | | | | | | | (70), (71) gives:
% 15.73/2.92 | | | | | | | | (72) $false
% 15.73/2.92 | | | | | | | |
% 15.73/2.92 | | | | | | | | CLOSE: (72) is inconsistent.
% 15.73/2.92 | | | | | | | |
% 15.73/2.92 | | | | | | | Case 2:
% 15.73/2.92 | | | | | | | |
% 15.73/2.92 | | | | | | | | (73) cminus7(i2003_11_14_17_20_46476) |
% 15.73/2.92 | | | | | | | | cplus6(i2003_11_14_17_20_46476)
% 15.73/2.92 | | | | | | | |
% 15.73/2.92 | | | | | | | | BETA: splitting (73) gives:
% 15.73/2.92 | | | | | | | |
% 15.73/2.92 | | | | | | | | Case 1:
% 15.73/2.92 | | | | | | | | |
% 15.73/2.92 | | | | | | | | | (74) cminus7(i2003_11_14_17_20_46476)
% 15.73/2.92 | | | | | | | | |
% 15.73/2.92 | | | | | | | | | PRED_UNIFY: (67), (74) imply:
% 15.73/2.92 | | | | | | | | | (75) $false
% 15.73/2.92 | | | | | | | | |
% 15.73/2.92 | | | | | | | | | CLOSE: (75) is inconsistent.
% 15.73/2.92 | | | | | | | | |
% 15.73/2.92 | | | | | | | | Case 2:
% 15.73/2.92 | | | | | | | | |
% 15.73/2.92 | | | | | | | | | (76) cplus6(i2003_11_14_17_20_46476)
% 15.73/2.92 | | | | | | | | |
% 15.73/2.92 | | | | | | | | | GROUND_INST: instantiating (axiom_56) with
% 15.73/2.92 | | | | | | | | | i2003_11_14_17_20_46476, simplifying with (2),
% 15.73/2.92 | | | | | | | | | (30), (76) gives:
% 15.73/2.92 | | | | | | | | | (77) $false
% 15.73/2.92 | | | | | | | | |
% 15.73/2.92 | | | | | | | | | CLOSE: (77) is inconsistent.
% 15.73/2.92 | | | | | | | | |
% 15.73/2.92 | | | | | | | | End of split
% 15.73/2.92 | | | | | | | |
% 15.73/2.92 | | | | | | | End of split
% 15.73/2.92 | | | | | | |
% 15.73/2.92 | | | | | | Case 2:
% 15.73/2.92 | | | | | | |
% 15.73/2.92 | | | | | | | (78) ~ cplus2(i2003_11_14_17_20_46476)
% 15.73/2.92 | | | | | | |
% 15.73/2.92 | | | | | | | BETA: splitting (11) gives:
% 15.73/2.92 | | | | | | |
% 15.73/2.92 | | | | | | | Case 1:
% 15.73/2.92 | | | | | | | |
% 15.73/2.92 | | | | | | | | (79) cplus2(i2003_11_14_17_20_46476)
% 15.73/2.92 | | | | | | | |
% 15.73/2.92 | | | | | | | | PRED_UNIFY: (78), (79) imply:
% 15.73/2.92 | | | | | | | | (80) $false
% 15.73/2.92 | | | | | | | |
% 15.73/2.92 | | | | | | | | CLOSE: (80) is inconsistent.
% 15.73/2.92 | | | | | | | |
% 15.73/2.92 | | | | | | | Case 2:
% 15.73/2.92 | | | | | | | |
% 15.73/2.92 | | | | | | | | (81) cplus8(i2003_11_14_17_20_46476) |
% 15.73/2.92 | | | | | | | | cminus3(i2003_11_14_17_20_46476)
% 15.73/2.92 | | | | | | | |
% 15.73/2.92 | | | | | | | | REF_CLOSE: (2), (44), (69), (81), (axiom_52) are inconsistent by
% 15.73/2.92 | | | | | | | | sub-proof #6.
% 15.73/2.92 | | | | | | | |
% 15.73/2.92 | | | | | | | End of split
% 15.73/2.92 | | | | | | |
% 15.73/2.92 | | | | | | End of split
% 15.73/2.92 | | | | | |
% 15.73/2.92 | | | | | Case 2:
% 15.73/2.92 | | | | | |
% 15.73/2.92 | | | | | | (82) cplus8(i2003_11_14_17_20_46476)
% 15.73/2.92 | | | | | |
% 15.73/2.92 | | | | | | PRED_UNIFY: (44), (82) imply:
% 15.73/2.92 | | | | | | (83) $false
% 15.73/2.92 | | | | | |
% 15.73/2.92 | | | | | | CLOSE: (83) is inconsistent.
% 15.73/2.92 | | | | | |
% 15.73/2.92 | | | | | End of split
% 15.73/2.92 | | | | |
% 15.73/2.92 | | | | End of split
% 15.73/2.92 | | | |
% 15.73/2.92 | | | Case 2:
% 15.73/2.92 | | | |
% 15.73/2.93 | | | | (84) ~ cminus4(i2003_11_14_17_20_46476)
% 15.73/2.93 | | | |
% 15.73/2.93 | | | | REF_CLOSE: (2), (5), (7), (10), (18), (21), (22), (23), (44), (84),
% 15.73/2.93 | | | | (axiom_49), (axiom_51), (axiom_52), (axiom_54) are
% 15.73/2.93 | | | | inconsistent by sub-proof #2.
% 15.73/2.93 | | | |
% 15.73/2.93 | | | End of split
% 15.73/2.93 | | |
% 15.73/2.93 | | End of split
% 15.73/2.93 | |
% 15.73/2.93 | Case 2:
% 15.73/2.93 | |
% 15.73/2.93 | | (85) ~ cminus6(i2003_11_14_17_20_46476)
% 15.73/2.93 | |
% 15.73/2.93 | | BETA: splitting (26) gives:
% 15.73/2.93 | |
% 15.73/2.93 | | Case 1:
% 15.73/2.93 | | |
% 15.73/2.93 | | | (86) cplus8(i2003_11_14_17_20_46476)
% 15.73/2.93 | | |
% 15.73/2.93 | | | BETA: splitting (25) gives:
% 15.73/2.93 | | |
% 15.73/2.93 | | | Case 1:
% 15.73/2.93 | | | |
% 15.73/2.93 | | | | (87) cminus4(i2003_11_14_17_20_46476)
% 15.73/2.93 | | | |
% 15.73/2.93 | | | | BETA: splitting (4) gives:
% 15.73/2.93 | | | |
% 15.73/2.93 | | | | Case 1:
% 15.73/2.93 | | | | |
% 15.73/2.93 | | | | | (88) cminus2(i2003_11_14_17_20_46476)
% 15.73/2.93 | | | | |
% 15.73/2.93 | | | | | BETA: splitting (12) gives:
% 15.73/2.93 | | | | |
% 15.73/2.93 | | | | | Case 1:
% 15.73/2.93 | | | | | |
% 15.73/2.93 | | | | | | (89) cplus2(i2003_11_14_17_20_46476)
% 15.73/2.93 | | | | | |
% 15.73/2.93 | | | | | | GROUND_INST: instantiating (axiom_54) with i2003_11_14_17_20_46476,
% 15.73/2.93 | | | | | | simplifying with (2), (88), (89) gives:
% 15.73/2.93 | | | | | | (90) $false
% 15.73/2.93 | | | | | |
% 15.73/2.93 | | | | | | CLOSE: (90) is inconsistent.
% 15.73/2.93 | | | | | |
% 15.73/2.93 | | | | | Case 2:
% 15.73/2.93 | | | | | |
% 15.73/2.93 | | | | | | (91) cminus6(i2003_11_14_17_20_46476) |
% 15.73/2.93 | | | | | | cplus1(i2003_11_14_17_20_46476)
% 15.73/2.93 | | | | | |
% 15.73/2.93 | | | | | | BETA: splitting (91) gives:
% 15.73/2.93 | | | | | |
% 15.73/2.93 | | | | | | Case 1:
% 15.73/2.93 | | | | | | |
% 15.73/2.93 | | | | | | | (92) cminus6(i2003_11_14_17_20_46476)
% 15.73/2.93 | | | | | | |
% 15.73/2.93 | | | | | | | PRED_UNIFY: (85), (92) imply:
% 15.73/2.93 | | | | | | | (93) $false
% 15.73/2.93 | | | | | | |
% 15.73/2.93 | | | | | | | CLOSE: (93) is inconsistent.
% 15.73/2.93 | | | | | | |
% 15.73/2.93 | | | | | | Case 2:
% 15.73/2.93 | | | | | | |
% 15.73/2.93 | | | | | | | (94) cplus1(i2003_11_14_17_20_46476)
% 15.73/2.93 | | | | | | |
% 15.73/2.93 | | | | | | | BETA: splitting (17) gives:
% 15.73/2.93 | | | | | | |
% 15.73/2.93 | | | | | | | Case 1:
% 15.73/2.93 | | | | | | | |
% 15.73/2.93 | | | | | | | | (95) cplus4(i2003_11_14_17_20_46476)
% 15.73/2.93 | | | | | | | |
% 15.73/2.93 | | | | | | | | GROUND_INST: instantiating (axiom_50) with
% 15.73/2.93 | | | | | | | | i2003_11_14_17_20_46476, simplifying with (2),
% 15.73/2.93 | | | | | | | | (87), (95) gives:
% 15.73/2.93 | | | | | | | | (96) $false
% 15.73/2.93 | | | | | | | |
% 15.73/2.93 | | | | | | | | CLOSE: (96) is inconsistent.
% 15.73/2.93 | | | | | | | |
% 15.73/2.93 | | | | | | | Case 2:
% 15.73/2.93 | | | | | | | |
% 15.73/2.93 | | | | | | | | (97) ~ cplus4(i2003_11_14_17_20_46476)
% 15.73/2.93 | | | | | | | |
% 15.73/2.93 | | | | | | | | BETA: splitting (13) gives:
% 15.73/2.93 | | | | | | | |
% 15.73/2.93 | | | | | | | | Case 1:
% 15.73/2.93 | | | | | | | | |
% 15.73/2.93 | | | | | | | | | (98) cminus1(i2003_11_14_17_20_46476)
% 15.73/2.93 | | | | | | | | |
% 15.73/2.93 | | | | | | | | | GROUND_INST: instantiating (axiom_55) with
% 15.73/2.93 | | | | | | | | | i2003_11_14_17_20_46476, simplifying with (2),
% 15.73/2.93 | | | | | | | | | (94), (98) gives:
% 15.73/2.93 | | | | | | | | | (99) $false
% 15.73/2.93 | | | | | | | | |
% 15.73/2.93 | | | | | | | | | CLOSE: (99) is inconsistent.
% 15.73/2.93 | | | | | | | | |
% 15.73/2.93 | | | | | | | | Case 2:
% 15.73/2.93 | | | | | | | | |
% 15.73/2.93 | | | | | | | | | (100) ~ cminus1(i2003_11_14_17_20_46476)
% 15.73/2.93 | | | | | | | | |
% 15.73/2.93 | | | | | | | | | BETA: splitting (8) gives:
% 15.73/2.93 | | | | | | | | |
% 15.73/2.93 | | | | | | | | | Case 1:
% 15.73/2.93 | | | | | | | | | |
% 15.73/2.93 | | | | | | | | | | (101) cplus2(i2003_11_14_17_20_46476)
% 15.73/2.93 | | | | | | | | | |
% 15.73/2.93 | | | | | | | | | | GROUND_INST: instantiating (axiom_54) with
% 15.73/2.93 | | | | | | | | | | i2003_11_14_17_20_46476, simplifying with (2),
% 15.73/2.93 | | | | | | | | | | (88), (101) gives:
% 15.73/2.93 | | | | | | | | | | (102) $false
% 15.73/2.93 | | | | | | | | | |
% 15.73/2.93 | | | | | | | | | | CLOSE: (102) is inconsistent.
% 15.73/2.93 | | | | | | | | | |
% 15.73/2.93 | | | | | | | | | Case 2:
% 15.73/2.93 | | | | | | | | | |
% 15.73/2.93 | | | | | | | | | | (103) cminus1(i2003_11_14_17_20_46476) |
% 15.73/2.93 | | | | | | | | | | cplus4(i2003_11_14_17_20_46476)
% 15.73/2.93 | | | | | | | | | |
% 15.73/2.93 | | | | | | | | | | BETA: splitting (103) gives:
% 15.73/2.93 | | | | | | | | | |
% 15.73/2.93 | | | | | | | | | | Case 1:
% 15.73/2.93 | | | | | | | | | | |
% 15.73/2.93 | | | | | | | | | | | (104) cminus1(i2003_11_14_17_20_46476)
% 15.73/2.93 | | | | | | | | | | |
% 15.73/2.93 | | | | | | | | | | | PRED_UNIFY: (100), (104) imply:
% 15.73/2.93 | | | | | | | | | | | (105) $false
% 15.73/2.93 | | | | | | | | | | |
% 15.73/2.93 | | | | | | | | | | | CLOSE: (105) is inconsistent.
% 15.73/2.93 | | | | | | | | | | |
% 15.73/2.93 | | | | | | | | | | Case 2:
% 15.73/2.93 | | | | | | | | | | |
% 15.73/2.93 | | | | | | | | | | | (106) cplus4(i2003_11_14_17_20_46476)
% 15.73/2.93 | | | | | | | | | | |
% 15.73/2.93 | | | | | | | | | | | PRED_UNIFY: (97), (106) imply:
% 15.73/2.93 | | | | | | | | | | | (107) $false
% 15.73/2.93 | | | | | | | | | | |
% 15.73/2.93 | | | | | | | | | | | CLOSE: (107) is inconsistent.
% 15.73/2.93 | | | | | | | | | | |
% 15.73/2.93 | | | | | | | | | | End of split
% 15.73/2.93 | | | | | | | | | |
% 15.73/2.93 | | | | | | | | | End of split
% 15.73/2.93 | | | | | | | | |
% 15.73/2.93 | | | | | | | | End of split
% 15.73/2.93 | | | | | | | |
% 15.73/2.93 | | | | | | | End of split
% 15.73/2.93 | | | | | | |
% 15.78/2.93 | | | | | | End of split
% 15.78/2.93 | | | | | |
% 15.78/2.93 | | | | | End of split
% 15.78/2.93 | | | | |
% 15.78/2.93 | | | | Case 2:
% 15.78/2.93 | | | | |
% 15.78/2.93 | | | | | (108) ~ cminus2(i2003_11_14_17_20_46476)
% 15.78/2.93 | | | | |
% 15.78/2.93 | | | | | BETA: splitting (3) gives:
% 15.78/2.93 | | | | |
% 15.78/2.93 | | | | | Case 1:
% 15.78/2.93 | | | | | |
% 15.78/2.93 | | | | | | (109) cminus2(i2003_11_14_17_20_46476)
% 15.78/2.93 | | | | | |
% 15.78/2.93 | | | | | | PRED_UNIFY: (108), (109) imply:
% 15.78/2.93 | | | | | | (110) $false
% 15.78/2.93 | | | | | |
% 15.78/2.93 | | | | | | CLOSE: (110) is inconsistent.
% 15.78/2.93 | | | | | |
% 15.78/2.93 | | | | | Case 2:
% 15.78/2.93 | | | | | |
% 15.78/2.93 | | | | | | (111) cplus4(i2003_11_14_17_20_46476) |
% 15.78/2.93 | | | | | | cminus6(i2003_11_14_17_20_46476)
% 15.78/2.93 | | | | | |
% 15.78/2.93 | | | | | | REF_CLOSE: (2), (85), (87), (111), (axiom_50) are inconsistent by
% 15.78/2.93 | | | | | | sub-proof #1.
% 15.78/2.93 | | | | | |
% 15.78/2.93 | | | | | End of split
% 15.78/2.93 | | | | |
% 15.78/2.93 | | | | End of split
% 15.78/2.93 | | | |
% 15.78/2.93 | | | Case 2:
% 15.78/2.93 | | | |
% 15.78/2.93 | | | | (112) ~ cminus4(i2003_11_14_17_20_46476)
% 15.78/2.93 | | | |
% 15.78/2.93 | | | | REF_CLOSE: (2), (18), (19), (24), (28), (86), (112), (axiom_48),
% 15.78/2.93 | | | | (axiom_49) are inconsistent by sub-proof #9.
% 15.78/2.94 | | | |
% 15.78/2.94 | | | End of split
% 15.78/2.94 | | |
% 15.78/2.94 | | Case 2:
% 15.78/2.94 | | |
% 15.78/2.94 | | | (113) ~ cplus8(i2003_11_14_17_20_46476)
% 15.78/2.94 | | |
% 15.78/2.94 | | | BETA: splitting (25) gives:
% 15.78/2.94 | | |
% 15.78/2.94 | | | Case 1:
% 15.78/2.94 | | | |
% 15.78/2.94 | | | | (114) cminus4(i2003_11_14_17_20_46476)
% 15.78/2.94 | | | |
% 15.78/2.94 | | | | BETA: splitting (3) gives:
% 15.78/2.94 | | | |
% 15.78/2.94 | | | | Case 1:
% 15.78/2.94 | | | | |
% 15.78/2.94 | | | | | (115) cminus2(i2003_11_14_17_20_46476)
% 15.78/2.94 | | | | |
% 15.78/2.94 | | | | | REF_CLOSE: (2), (11), (14), (15), (20), (113), (114), (115),
% 15.78/2.94 | | | | | (axiom_49), (axiom_50), (axiom_52), (axiom_54) are
% 15.78/2.94 | | | | | inconsistent by sub-proof #5.
% 15.78/2.94 | | | | |
% 15.78/2.94 | | | | Case 2:
% 15.78/2.94 | | | | |
% 15.78/2.94 | | | | | (116) cplus4(i2003_11_14_17_20_46476) |
% 15.78/2.94 | | | | | cminus6(i2003_11_14_17_20_46476)
% 15.78/2.94 | | | | |
% 15.78/2.94 | | | | | REF_CLOSE: (2), (85), (114), (116), (axiom_50) are inconsistent by
% 15.78/2.94 | | | | | sub-proof #1.
% 15.78/2.94 | | | | |
% 15.78/2.94 | | | | End of split
% 15.78/2.94 | | | |
% 15.78/2.94 | | | Case 2:
% 15.78/2.94 | | | |
% 15.78/2.94 | | | | (117) ~ cminus4(i2003_11_14_17_20_46476)
% 15.78/2.94 | | | |
% 15.78/2.94 | | | | REF_CLOSE: (2), (5), (7), (10), (18), (21), (22), (23), (113), (117),
% 15.78/2.94 | | | | (axiom_49), (axiom_51), (axiom_52), (axiom_54) are
% 15.78/2.94 | | | | inconsistent by sub-proof #2.
% 15.78/2.94 | | | |
% 15.78/2.94 | | | End of split
% 15.78/2.94 | | |
% 15.78/2.94 | | End of split
% 15.78/2.94 | |
% 15.78/2.94 | End of split
% 15.78/2.94 |
% 15.78/2.94 End of proof
% 15.78/2.94
% 15.78/2.94 Sub-proof #1 shows that the following formulas are inconsistent:
% 15.78/2.94 ----------------------------------------------------------------
% 15.78/2.94 (1) ~ cminus6(i2003_11_14_17_20_46476)
% 15.78/2.94 (2) cminus4(i2003_11_14_17_20_46476)
% 15.78/2.94 (3) ! [v0: $i] : ( ~ $i(v0) | ~ cplus4(v0) | ~ cminus4(v0))
% 15.78/2.94 (4) cplus4(i2003_11_14_17_20_46476) | cminus6(i2003_11_14_17_20_46476)
% 15.78/2.94 (5) $i(i2003_11_14_17_20_46476)
% 15.78/2.94
% 15.78/2.94 Begin of proof
% 15.78/2.94 |
% 15.78/2.94 | BETA: splitting (4) gives:
% 15.78/2.94 |
% 15.78/2.94 | Case 1:
% 15.78/2.94 | |
% 15.78/2.94 | | (6) cplus4(i2003_11_14_17_20_46476)
% 15.78/2.94 | |
% 15.78/2.94 | | GROUND_INST: instantiating (3) with i2003_11_14_17_20_46476, simplifying
% 15.78/2.94 | | with (2), (5), (6) gives:
% 15.78/2.94 | | (7) $false
% 15.78/2.94 | |
% 15.78/2.94 | | CLOSE: (7) is inconsistent.
% 15.78/2.94 | |
% 15.78/2.94 | Case 2:
% 15.78/2.94 | |
% 15.78/2.94 | | (8) cminus6(i2003_11_14_17_20_46476)
% 15.78/2.94 | |
% 15.78/2.94 | | PRED_UNIFY: (1), (8) imply:
% 15.78/2.94 | | (9) $false
% 15.78/2.94 | |
% 15.78/2.94 | | CLOSE: (9) is inconsistent.
% 15.78/2.94 | |
% 15.78/2.94 | End of split
% 15.78/2.94 |
% 15.78/2.94 End of proof
% 15.78/2.94
% 15.78/2.94 Sub-proof #2 shows that the following formulas are inconsistent:
% 15.78/2.94 ----------------------------------------------------------------
% 15.78/2.94 (1) cminus2(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) |
% 15.78/2.94 cminus8(i2003_11_14_17_20_46476)
% 15.78/2.94 (2) ! [v0: $i] : ( ~ $i(v0) | ~ cminus2(v0) | ~ cplus2(v0))
% 15.78/2.94 (3) ~ cplus8(i2003_11_14_17_20_46476)
% 15.78/2.94 (4) cminus7(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) |
% 15.78/2.94 cplus8(i2003_11_14_17_20_46476)
% 15.78/2.94 (5) ! [v0: $i] : ( ~ $i(v0) | ~ cminus9(v0) | ~ cplus9(v0))
% 15.78/2.94 (6) cplus2(i2003_11_14_17_20_46476) | cminus4(i2003_11_14_17_20_46476) |
% 15.78/2.94 cplus8(i2003_11_14_17_20_46476)
% 15.78/2.94 (7) cminus7(i2003_11_14_17_20_46476) | cminus4(i2003_11_14_17_20_46476) |
% 15.78/2.94 cminus3(i2003_11_14_17_20_46476)
% 15.78/2.94 (8) cminus4(i2003_11_14_17_20_46476) | cplus7(i2003_11_14_17_20_46476) |
% 15.78/2.94 cplus9(i2003_11_14_17_20_46476)
% 15.78/2.94 (9) cminus2(i2003_11_14_17_20_46476) | cminus9(i2003_11_14_17_20_46476) |
% 15.78/2.94 cplus7(i2003_11_14_17_20_46476)
% 15.78/2.94 (10) cminus9(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) |
% 15.78/2.94 cminus5(i2003_11_14_17_20_46476)
% 15.78/2.94 (11) ! [v0: $i] : ( ~ $i(v0) | ~ cplus3(v0) | ~ cminus3(v0))
% 15.78/2.94 (12) ~ cminus4(i2003_11_14_17_20_46476)
% 15.78/2.94 (13) $i(i2003_11_14_17_20_46476)
% 15.78/2.94 (14) ! [v0: $i] : ( ~ $i(v0) | ~ cminus7(v0) | ~ cplus7(v0))
% 15.78/2.94
% 15.78/2.94 Begin of proof
% 15.78/2.94 |
% 15.78/2.94 | BETA: splitting (6) gives:
% 15.78/2.94 |
% 15.78/2.94 | Case 1:
% 15.78/2.94 | |
% 15.78/2.94 | | (15) cplus2(i2003_11_14_17_20_46476)
% 15.78/2.94 | |
% 15.78/2.94 | | BETA: splitting (4) gives:
% 15.78/2.94 | |
% 15.78/2.94 | | Case 1:
% 15.78/2.94 | | |
% 15.78/2.94 | | | (16) cminus7(i2003_11_14_17_20_46476)
% 15.78/2.94 | | |
% 15.78/2.95 | | | REF_CLOSE: (1), (2), (5), (8), (9), (10), (12), (13), (14), (15), (16) are
% 15.78/2.95 | | | inconsistent by sub-proof #3.
% 15.78/2.95 | | |
% 15.78/2.95 | | Case 2:
% 15.78/2.95 | | |
% 15.78/2.95 | | | (17) cplus3(i2003_11_14_17_20_46476) | cplus8(i2003_11_14_17_20_46476)
% 15.78/2.95 | | |
% 15.78/2.95 | | | BETA: splitting (7) gives:
% 15.78/2.95 | | |
% 15.78/2.95 | | | Case 1:
% 15.78/2.95 | | | |
% 15.78/2.95 | | | | (18) cminus7(i2003_11_14_17_20_46476)
% 15.78/2.95 | | | |
% 15.78/2.95 | | | | REF_CLOSE: (1), (2), (5), (8), (9), (10), (12), (13), (14), (15), (18)
% 15.78/2.95 | | | | are inconsistent by sub-proof #3.
% 15.78/2.95 | | | |
% 15.78/2.95 | | | Case 2:
% 15.78/2.95 | | | |
% 15.78/2.95 | | | | (19) cminus4(i2003_11_14_17_20_46476) |
% 15.78/2.95 | | | | cminus3(i2003_11_14_17_20_46476)
% 15.78/2.95 | | | |
% 15.78/2.95 | | | | BETA: splitting (19) gives:
% 15.78/2.95 | | | |
% 15.78/2.95 | | | | Case 1:
% 15.78/2.95 | | | | |
% 15.78/2.95 | | | | | (20) cminus4(i2003_11_14_17_20_46476)
% 15.78/2.95 | | | | |
% 15.78/2.95 | | | | | PRED_UNIFY: (12), (20) imply:
% 15.78/2.95 | | | | | (21) $false
% 15.78/2.95 | | | | |
% 15.78/2.95 | | | | | CLOSE: (21) is inconsistent.
% 15.78/2.95 | | | | |
% 15.78/2.95 | | | | Case 2:
% 15.78/2.95 | | | | |
% 15.78/2.95 | | | | | (22) cminus3(i2003_11_14_17_20_46476)
% 15.78/2.95 | | | | |
% 15.78/2.95 | | | | | BETA: splitting (17) gives:
% 15.78/2.95 | | | | |
% 15.78/2.95 | | | | | Case 1:
% 15.78/2.95 | | | | | |
% 15.78/2.95 | | | | | | (23) cplus3(i2003_11_14_17_20_46476)
% 15.78/2.95 | | | | | |
% 15.78/2.95 | | | | | | GROUND_INST: instantiating (11) with i2003_11_14_17_20_46476,
% 15.78/2.95 | | | | | | simplifying with (13), (22), (23) gives:
% 15.78/2.95 | | | | | | (24) $false
% 15.78/2.95 | | | | | |
% 15.78/2.95 | | | | | | CLOSE: (24) is inconsistent.
% 15.78/2.95 | | | | | |
% 15.78/2.95 | | | | | Case 2:
% 15.78/2.95 | | | | | |
% 15.78/2.95 | | | | | | (25) cplus8(i2003_11_14_17_20_46476)
% 15.78/2.95 | | | | | |
% 15.78/2.95 | | | | | | PRED_UNIFY: (3), (25) imply:
% 15.78/2.95 | | | | | | (26) $false
% 15.78/2.95 | | | | | |
% 15.78/2.95 | | | | | | CLOSE: (26) is inconsistent.
% 15.78/2.95 | | | | | |
% 15.78/2.95 | | | | | End of split
% 15.78/2.95 | | | | |
% 15.78/2.95 | | | | End of split
% 15.78/2.95 | | | |
% 15.78/2.95 | | | End of split
% 15.78/2.95 | | |
% 15.78/2.95 | | End of split
% 15.78/2.95 | |
% 15.78/2.95 | Case 2:
% 15.78/2.95 | |
% 15.78/2.95 | | (27) cminus4(i2003_11_14_17_20_46476) | cplus8(i2003_11_14_17_20_46476)
% 15.78/2.95 | |
% 15.78/2.95 | | BETA: splitting (27) gives:
% 15.78/2.95 | |
% 15.78/2.95 | | Case 1:
% 15.78/2.95 | | |
% 15.78/2.95 | | | (28) cminus4(i2003_11_14_17_20_46476)
% 15.78/2.95 | | |
% 15.78/2.95 | | | PRED_UNIFY: (12), (28) imply:
% 15.78/2.95 | | | (29) $false
% 15.78/2.95 | | |
% 15.78/2.95 | | | CLOSE: (29) is inconsistent.
% 15.78/2.95 | | |
% 15.78/2.95 | | Case 2:
% 15.78/2.95 | | |
% 15.78/2.95 | | | (30) cplus8(i2003_11_14_17_20_46476)
% 15.78/2.95 | | |
% 15.78/2.95 | | | PRED_UNIFY: (3), (30) imply:
% 15.78/2.95 | | | (31) $false
% 15.78/2.95 | | |
% 15.78/2.95 | | | CLOSE: (31) is inconsistent.
% 15.78/2.95 | | |
% 15.78/2.95 | | End of split
% 15.78/2.95 | |
% 15.78/2.95 | End of split
% 15.78/2.95 |
% 15.78/2.95 End of proof
% 15.78/2.95
% 15.78/2.95 Sub-proof #3 shows that the following formulas are inconsistent:
% 15.78/2.95 ----------------------------------------------------------------
% 15.78/2.95 (1) cminus2(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) |
% 15.78/2.95 cminus8(i2003_11_14_17_20_46476)
% 15.78/2.95 (2) ! [v0: $i] : ( ~ $i(v0) | ~ cminus2(v0) | ~ cplus2(v0))
% 15.78/2.95 (3) cplus2(i2003_11_14_17_20_46476)
% 15.78/2.95 (4) ! [v0: $i] : ( ~ $i(v0) | ~ cminus9(v0) | ~ cplus9(v0))
% 15.78/2.95 (5) cminus4(i2003_11_14_17_20_46476) | cplus7(i2003_11_14_17_20_46476) |
% 15.78/2.95 cplus9(i2003_11_14_17_20_46476)
% 15.78/2.95 (6) cminus2(i2003_11_14_17_20_46476) | cminus9(i2003_11_14_17_20_46476) |
% 15.78/2.95 cplus7(i2003_11_14_17_20_46476)
% 15.78/2.95 (7) cminus9(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) |
% 15.78/2.95 cminus5(i2003_11_14_17_20_46476)
% 15.78/2.95 (8) cminus7(i2003_11_14_17_20_46476)
% 15.78/2.95 (9) ~ cminus4(i2003_11_14_17_20_46476)
% 15.78/2.95 (10) $i(i2003_11_14_17_20_46476)
% 15.78/2.95 (11) ! [v0: $i] : ( ~ $i(v0) | ~ cminus7(v0) | ~ cplus7(v0))
% 15.78/2.95
% 15.78/2.95 Begin of proof
% 15.78/2.95 |
% 15.78/2.95 | BETA: splitting (1) gives:
% 15.78/2.95 |
% 15.78/2.95 | Case 1:
% 15.78/2.95 | |
% 15.78/2.95 | | (12) cminus2(i2003_11_14_17_20_46476)
% 15.78/2.95 | |
% 15.78/2.95 | | GROUND_INST: instantiating (2) with i2003_11_14_17_20_46476, simplifying
% 15.78/2.95 | | with (3), (10), (12) gives:
% 15.78/2.95 | | (13) $false
% 15.78/2.95 | |
% 15.78/2.95 | | CLOSE: (13) is inconsistent.
% 15.78/2.95 | |
% 15.78/2.95 | Case 2:
% 15.78/2.95 | |
% 15.78/2.95 | | (14) ~ cminus2(i2003_11_14_17_20_46476)
% 15.78/2.95 | |
% 15.78/2.95 | | BETA: splitting (5) gives:
% 15.78/2.95 | |
% 15.78/2.95 | | Case 1:
% 15.78/2.95 | | |
% 15.78/2.95 | | | (15) cminus4(i2003_11_14_17_20_46476)
% 15.78/2.95 | | |
% 15.78/2.95 | | | PRED_UNIFY: (9), (15) imply:
% 15.78/2.95 | | | (16) $false
% 15.78/2.95 | | |
% 15.78/2.95 | | | CLOSE: (16) is inconsistent.
% 15.78/2.95 | | |
% 15.78/2.95 | | Case 2:
% 15.78/2.95 | | |
% 15.78/2.95 | | | (17) cplus7(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476)
% 15.78/2.95 | | |
% 15.78/2.95 | | | BETA: splitting (7) gives:
% 15.78/2.95 | | |
% 15.78/2.95 | | | Case 1:
% 15.78/2.95 | | | |
% 15.78/2.95 | | | | (18) cminus9(i2003_11_14_17_20_46476)
% 15.78/2.95 | | | |
% 15.78/2.95 | | | | BETA: splitting (17) gives:
% 15.78/2.95 | | | |
% 15.78/2.95 | | | | Case 1:
% 15.78/2.95 | | | | |
% 15.78/2.95 | | | | | (19) cplus7(i2003_11_14_17_20_46476)
% 15.78/2.95 | | | | |
% 15.78/2.95 | | | | | GROUND_INST: instantiating (11) with i2003_11_14_17_20_46476,
% 15.78/2.95 | | | | | simplifying with (8), (10), (19) gives:
% 15.78/2.95 | | | | | (20) $false
% 15.78/2.95 | | | | |
% 15.78/2.95 | | | | | CLOSE: (20) is inconsistent.
% 15.78/2.95 | | | | |
% 15.78/2.95 | | | | Case 2:
% 15.78/2.95 | | | | |
% 15.78/2.95 | | | | | (21) cplus9(i2003_11_14_17_20_46476)
% 15.78/2.95 | | | | |
% 15.78/2.95 | | | | | GROUND_INST: instantiating (4) with i2003_11_14_17_20_46476,
% 15.78/2.95 | | | | | simplifying with (10), (18), (21) gives:
% 15.78/2.95 | | | | | (22) $false
% 15.78/2.95 | | | | |
% 15.78/2.95 | | | | | CLOSE: (22) is inconsistent.
% 15.78/2.95 | | | | |
% 15.78/2.95 | | | | End of split
% 15.78/2.95 | | | |
% 15.78/2.95 | | | Case 2:
% 15.78/2.95 | | | |
% 15.78/2.95 | | | | (23) ~ cminus9(i2003_11_14_17_20_46476)
% 15.78/2.95 | | | |
% 15.78/2.95 | | | | REF_CLOSE: (6), (8), (10), (11), (14), (23) are inconsistent by
% 15.78/2.95 | | | | sub-proof #4.
% 15.78/2.95 | | | |
% 15.78/2.95 | | | End of split
% 15.78/2.95 | | |
% 15.78/2.95 | | End of split
% 15.78/2.95 | |
% 15.78/2.95 | End of split
% 15.78/2.95 |
% 15.78/2.95 End of proof
% 15.78/2.95
% 15.78/2.95 Sub-proof #4 shows that the following formulas are inconsistent:
% 15.78/2.95 ----------------------------------------------------------------
% 15.78/2.95 (1) ~ cminus9(i2003_11_14_17_20_46476)
% 15.78/2.95 (2) ~ cminus2(i2003_11_14_17_20_46476)
% 15.78/2.95 (3) cminus2(i2003_11_14_17_20_46476) | cminus9(i2003_11_14_17_20_46476) |
% 15.78/2.95 cplus7(i2003_11_14_17_20_46476)
% 15.78/2.96 (4) cminus7(i2003_11_14_17_20_46476)
% 15.78/2.96 (5) $i(i2003_11_14_17_20_46476)
% 15.78/2.96 (6) ! [v0: $i] : ( ~ $i(v0) | ~ cminus7(v0) | ~ cplus7(v0))
% 15.78/2.96
% 15.78/2.96 Begin of proof
% 15.78/2.96 |
% 15.78/2.96 | BETA: splitting (3) gives:
% 15.78/2.96 |
% 15.78/2.96 | Case 1:
% 15.78/2.96 | |
% 15.78/2.96 | | (7) cminus2(i2003_11_14_17_20_46476)
% 15.78/2.96 | |
% 15.78/2.96 | | PRED_UNIFY: (2), (7) imply:
% 15.78/2.96 | | (8) $false
% 15.78/2.96 | |
% 15.78/2.96 | | CLOSE: (8) is inconsistent.
% 15.78/2.96 | |
% 15.78/2.96 | Case 2:
% 15.78/2.96 | |
% 15.78/2.96 | | (9) cminus9(i2003_11_14_17_20_46476) | cplus7(i2003_11_14_17_20_46476)
% 15.78/2.96 | |
% 15.78/2.96 | | REF_CLOSE: (1), (4), (5), (6), (9) are inconsistent by sub-proof #7.
% 15.78/2.96 | |
% 15.78/2.96 | End of split
% 15.78/2.96 |
% 15.78/2.96 End of proof
% 15.78/2.96
% 15.78/2.96 Sub-proof #5 shows that the following formulas are inconsistent:
% 15.78/2.96 ----------------------------------------------------------------
% 15.78/2.96 (1) cplus4(i2003_11_14_17_20_46476) | cminus9(i2003_11_14_17_20_46476) |
% 15.78/2.96 cplus3(i2003_11_14_17_20_46476)
% 15.78/2.96 (2) ! [v0: $i] : ( ~ $i(v0) | ~ cminus2(v0) | ~ cplus2(v0))
% 15.78/2.96 (3) cplus2(i2003_11_14_17_20_46476) | cplus8(i2003_11_14_17_20_46476) |
% 15.78/2.96 cminus3(i2003_11_14_17_20_46476)
% 15.78/2.96 (4) cplus4(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) |
% 15.78/2.96 cplus9(i2003_11_14_17_20_46476)
% 15.78/2.96 (5) cminus4(i2003_11_14_17_20_46476)
% 15.78/2.96 (6) ! [v0: $i] : ( ~ $i(v0) | ~ cplus4(v0) | ~ cminus4(v0))
% 15.78/2.96 (7) ~ cplus8(i2003_11_14_17_20_46476)
% 15.78/2.96 (8) ! [v0: $i] : ( ~ $i(v0) | ~ cminus9(v0) | ~ cplus9(v0))
% 15.78/2.96 (9) cminus9(i2003_11_14_17_20_46476) | cminus6(i2003_11_14_17_20_46476) |
% 15.78/2.96 cplus1(i2003_11_14_17_20_46476)
% 15.78/2.96 (10) ! [v0: $i] : ( ~ $i(v0) | ~ cplus3(v0) | ~ cminus3(v0))
% 15.78/2.96 (11) $i(i2003_11_14_17_20_46476)
% 15.78/2.96 (12) cminus2(i2003_11_14_17_20_46476)
% 15.78/2.96
% 15.78/2.96 Begin of proof
% 15.78/2.96 |
% 15.78/2.96 | BETA: splitting (9) gives:
% 15.78/2.96 |
% 15.78/2.96 | Case 1:
% 15.78/2.96 | |
% 15.78/2.96 | | (13) cminus9(i2003_11_14_17_20_46476)
% 15.78/2.96 | |
% 15.78/2.96 | | BETA: splitting (3) gives:
% 15.78/2.96 | |
% 15.78/2.96 | | Case 1:
% 15.78/2.96 | | |
% 15.78/2.96 | | | (14) cplus2(i2003_11_14_17_20_46476)
% 15.78/2.96 | | |
% 15.78/2.96 | | | GROUND_INST: instantiating (2) with i2003_11_14_17_20_46476, simplifying
% 15.78/2.96 | | | with (11), (12), (14) gives:
% 15.78/2.96 | | | (15) $false
% 15.78/2.96 | | |
% 15.78/2.96 | | | CLOSE: (15) is inconsistent.
% 15.78/2.96 | | |
% 15.78/2.96 | | Case 2:
% 15.78/2.96 | | |
% 15.78/2.96 | | | (16) cplus8(i2003_11_14_17_20_46476) | cminus3(i2003_11_14_17_20_46476)
% 15.78/2.96 | | |
% 15.78/2.96 | | | BETA: splitting (16) gives:
% 15.78/2.96 | | |
% 15.78/2.96 | | | Case 1:
% 15.78/2.96 | | | |
% 15.78/2.96 | | | | (17) cplus8(i2003_11_14_17_20_46476)
% 15.78/2.96 | | | |
% 15.78/2.96 | | | | PRED_UNIFY: (7), (17) imply:
% 15.78/2.96 | | | | (18) $false
% 15.78/2.96 | | | |
% 15.78/2.96 | | | | CLOSE: (18) is inconsistent.
% 15.78/2.96 | | | |
% 15.78/2.96 | | | Case 2:
% 15.78/2.96 | | | |
% 15.78/2.96 | | | | (19) cminus3(i2003_11_14_17_20_46476)
% 15.78/2.96 | | | |
% 15.78/2.96 | | | | REF_CLOSE: (4), (5), (6), (8), (10), (11), (13), (19) are inconsistent
% 15.78/2.96 | | | | by sub-proof #8.
% 15.78/2.96 | | | |
% 15.78/2.96 | | | End of split
% 15.78/2.96 | | |
% 15.78/2.96 | | End of split
% 15.78/2.96 | |
% 15.78/2.96 | Case 2:
% 15.78/2.96 | |
% 15.78/2.96 | | (20) ~ cminus9(i2003_11_14_17_20_46476)
% 15.78/2.96 | |
% 15.78/2.96 | | BETA: splitting (1) gives:
% 15.78/2.96 | |
% 15.78/2.96 | | Case 1:
% 15.78/2.96 | | |
% 15.78/2.96 | | | (21) cplus4(i2003_11_14_17_20_46476)
% 15.78/2.96 | | |
% 15.78/2.96 | | | GROUND_INST: instantiating (6) with i2003_11_14_17_20_46476, simplifying
% 15.78/2.96 | | | with (5), (11), (21) gives:
% 15.78/2.96 | | | (22) $false
% 15.78/2.96 | | |
% 15.78/2.96 | | | CLOSE: (22) is inconsistent.
% 15.78/2.96 | | |
% 15.78/2.96 | | Case 2:
% 15.78/2.96 | | |
% 15.78/2.96 | | | (23) cminus9(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476)
% 15.78/2.96 | | |
% 15.78/2.96 | | | BETA: splitting (23) gives:
% 15.78/2.96 | | |
% 15.78/2.96 | | | Case 1:
% 15.78/2.96 | | | |
% 15.78/2.96 | | | | (24) cminus9(i2003_11_14_17_20_46476)
% 15.78/2.96 | | | |
% 15.78/2.96 | | | | PRED_UNIFY: (20), (24) imply:
% 15.78/2.96 | | | | (25) $false
% 15.78/2.96 | | | |
% 15.78/2.96 | | | | CLOSE: (25) is inconsistent.
% 15.78/2.96 | | | |
% 15.78/2.96 | | | Case 2:
% 15.78/2.96 | | | |
% 15.78/2.96 | | | | (26) cplus3(i2003_11_14_17_20_46476)
% 15.78/2.96 | | | |
% 15.78/2.96 | | | | BETA: splitting (3) gives:
% 15.78/2.96 | | | |
% 15.78/2.96 | | | | Case 1:
% 15.78/2.96 | | | | |
% 15.78/2.96 | | | | | (27) cplus2(i2003_11_14_17_20_46476)
% 15.78/2.96 | | | | |
% 15.78/2.96 | | | | | GROUND_INST: instantiating (2) with i2003_11_14_17_20_46476,
% 15.78/2.96 | | | | | simplifying with (11), (12), (27) gives:
% 15.78/2.96 | | | | | (28) $false
% 15.78/2.96 | | | | |
% 15.78/2.96 | | | | | CLOSE: (28) is inconsistent.
% 15.78/2.96 | | | | |
% 15.78/2.96 | | | | Case 2:
% 15.78/2.96 | | | | |
% 15.78/2.96 | | | | | (29) cplus8(i2003_11_14_17_20_46476) |
% 15.78/2.96 | | | | | cminus3(i2003_11_14_17_20_46476)
% 15.78/2.96 | | | | |
% 15.78/2.96 | | | | | REF_CLOSE: (7), (10), (11), (26), (29) are inconsistent by sub-proof
% 15.78/2.96 | | | | | #6.
% 15.78/2.96 | | | | |
% 15.78/2.96 | | | | End of split
% 15.78/2.96 | | | |
% 15.78/2.96 | | | End of split
% 15.78/2.96 | | |
% 15.78/2.96 | | End of split
% 15.78/2.96 | |
% 15.78/2.96 | End of split
% 15.78/2.96 |
% 15.78/2.96 End of proof
% 15.78/2.96
% 15.78/2.96 Sub-proof #6 shows that the following formulas are inconsistent:
% 15.78/2.96 ----------------------------------------------------------------
% 15.78/2.96 (1) ~ cplus8(i2003_11_14_17_20_46476)
% 15.78/2.96 (2) cplus3(i2003_11_14_17_20_46476)
% 15.78/2.96 (3) cplus8(i2003_11_14_17_20_46476) | cminus3(i2003_11_14_17_20_46476)
% 15.78/2.96 (4) ! [v0: $i] : ( ~ $i(v0) | ~ cplus3(v0) | ~ cminus3(v0))
% 15.78/2.96 (5) $i(i2003_11_14_17_20_46476)
% 15.78/2.96
% 15.78/2.96 Begin of proof
% 15.78/2.96 |
% 15.78/2.96 | BETA: splitting (3) gives:
% 15.78/2.96 |
% 15.78/2.96 | Case 1:
% 15.78/2.96 | |
% 15.78/2.96 | | (6) cplus8(i2003_11_14_17_20_46476)
% 15.78/2.96 | |
% 15.78/2.96 | | PRED_UNIFY: (1), (6) imply:
% 15.78/2.96 | | (7) $false
% 15.78/2.96 | |
% 15.78/2.96 | | CLOSE: (7) is inconsistent.
% 15.78/2.96 | |
% 15.78/2.96 | Case 2:
% 15.78/2.96 | |
% 15.78/2.96 | | (8) cminus3(i2003_11_14_17_20_46476)
% 15.78/2.96 | |
% 15.78/2.96 | | GROUND_INST: instantiating (4) with i2003_11_14_17_20_46476, simplifying
% 15.78/2.96 | | with (2), (5), (8) gives:
% 15.78/2.96 | | (9) $false
% 15.78/2.96 | |
% 15.78/2.96 | | CLOSE: (9) is inconsistent.
% 15.78/2.96 | |
% 15.78/2.96 | End of split
% 15.78/2.96 |
% 15.78/2.96 End of proof
% 15.78/2.96
% 15.78/2.96 Sub-proof #7 shows that the following formulas are inconsistent:
% 15.78/2.96 ----------------------------------------------------------------
% 15.78/2.96 (1) cminus9(i2003_11_14_17_20_46476) | cplus7(i2003_11_14_17_20_46476)
% 15.78/2.96 (2) ~ cminus9(i2003_11_14_17_20_46476)
% 15.78/2.96 (3) cminus7(i2003_11_14_17_20_46476)
% 15.78/2.96 (4) $i(i2003_11_14_17_20_46476)
% 15.78/2.96 (5) ! [v0: $i] : ( ~ $i(v0) | ~ cminus7(v0) | ~ cplus7(v0))
% 15.78/2.96
% 15.78/2.96 Begin of proof
% 15.78/2.96 |
% 15.78/2.96 | BETA: splitting (1) gives:
% 15.78/2.96 |
% 15.78/2.96 | Case 1:
% 15.78/2.96 | |
% 15.78/2.96 | | (6) cminus9(i2003_11_14_17_20_46476)
% 15.78/2.96 | |
% 15.78/2.96 | | PRED_UNIFY: (2), (6) imply:
% 15.78/2.96 | | (7) $false
% 15.78/2.96 | |
% 15.78/2.96 | | CLOSE: (7) is inconsistent.
% 15.78/2.96 | |
% 15.78/2.96 | Case 2:
% 15.78/2.96 | |
% 15.78/2.96 | | (8) cplus7(i2003_11_14_17_20_46476)
% 15.78/2.96 | |
% 15.78/2.96 | | GROUND_INST: instantiating (5) with i2003_11_14_17_20_46476, simplifying
% 15.78/2.96 | | with (3), (4), (8) gives:
% 15.78/2.96 | | (9) $false
% 15.78/2.96 | |
% 15.78/2.96 | | CLOSE: (9) is inconsistent.
% 15.78/2.96 | |
% 15.78/2.96 | End of split
% 15.78/2.96 |
% 15.78/2.96 End of proof
% 15.78/2.96
% 15.78/2.96 Sub-proof #8 shows that the following formulas are inconsistent:
% 15.78/2.96 ----------------------------------------------------------------
% 15.78/2.96 (1) cplus4(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) |
% 15.78/2.96 cplus9(i2003_11_14_17_20_46476)
% 15.78/2.96 (2) cminus3(i2003_11_14_17_20_46476)
% 15.78/2.96 (3) cminus4(i2003_11_14_17_20_46476)
% 15.78/2.96 (4) ! [v0: $i] : ( ~ $i(v0) | ~ cplus4(v0) | ~ cminus4(v0))
% 15.78/2.97 (5) ! [v0: $i] : ( ~ $i(v0) | ~ cminus9(v0) | ~ cplus9(v0))
% 15.78/2.97 (6) cminus9(i2003_11_14_17_20_46476)
% 15.78/2.97 (7) ! [v0: $i] : ( ~ $i(v0) | ~ cplus3(v0) | ~ cminus3(v0))
% 15.78/2.97 (8) $i(i2003_11_14_17_20_46476)
% 15.78/2.97
% 15.78/2.97 Begin of proof
% 15.78/2.97 |
% 15.78/2.97 | BETA: splitting (1) gives:
% 15.78/2.97 |
% 15.78/2.97 | Case 1:
% 15.78/2.97 | |
% 15.78/2.97 | | (9) cplus4(i2003_11_14_17_20_46476)
% 15.78/2.97 | |
% 15.78/2.97 | | GROUND_INST: instantiating (4) with i2003_11_14_17_20_46476, simplifying
% 15.78/2.97 | | with (3), (8), (9) gives:
% 15.78/2.97 | | (10) $false
% 15.78/2.97 | |
% 15.78/2.97 | | CLOSE: (10) is inconsistent.
% 15.78/2.97 | |
% 15.78/2.97 | Case 2:
% 15.78/2.97 | |
% 15.78/2.97 | | (11) cplus3(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476)
% 15.78/2.97 | |
% 15.78/2.97 | | BETA: splitting (11) gives:
% 15.78/2.97 | |
% 15.78/2.97 | | Case 1:
% 15.78/2.97 | | |
% 15.78/2.97 | | | (12) cplus3(i2003_11_14_17_20_46476)
% 15.78/2.97 | | |
% 15.78/2.97 | | | GROUND_INST: instantiating (7) with i2003_11_14_17_20_46476, simplifying
% 15.78/2.97 | | | with (2), (8), (12) gives:
% 15.78/2.97 | | | (13) $false
% 15.78/2.97 | | |
% 15.78/2.97 | | | CLOSE: (13) is inconsistent.
% 15.78/2.97 | | |
% 15.78/2.97 | | Case 2:
% 15.78/2.97 | | |
% 15.78/2.97 | | | (14) cplus9(i2003_11_14_17_20_46476)
% 15.78/2.97 | | |
% 15.78/2.97 | | | GROUND_INST: instantiating (5) with i2003_11_14_17_20_46476, simplifying
% 15.78/2.97 | | | with (6), (8), (14) gives:
% 15.78/2.97 | | | (15) $false
% 15.78/2.97 | | |
% 15.78/2.97 | | | CLOSE: (15) is inconsistent.
% 15.78/2.97 | | |
% 15.78/2.97 | | End of split
% 15.78/2.97 | |
% 15.78/2.97 | End of split
% 15.78/2.97 |
% 15.78/2.97 End of proof
% 15.78/2.97
% 15.78/2.97 Sub-proof #9 shows that the following formulas are inconsistent:
% 15.78/2.97 ----------------------------------------------------------------
% 15.78/2.97 (1) ! [v0: $i] : ( ~ $i(v0) | ~ cplus8(v0) | ~ cminus8(v0))
% 15.78/2.97 (2) cminus4(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476) |
% 15.78/2.97 cplus9(i2003_11_14_17_20_46476)
% 15.78/2.97 (3) ! [v0: $i] : ( ~ $i(v0) | ~ cminus9(v0) | ~ cplus9(v0))
% 15.78/2.97 (4) cminus8(i2003_11_14_17_20_46476) | cminus5(i2003_11_14_17_20_46476) |
% 15.78/2.97 cminus3(i2003_11_14_17_20_46476)
% 15.78/2.97 (5) cplus8(i2003_11_14_17_20_46476)
% 15.78/2.97 (6) cminus9(i2003_11_14_17_20_46476) | cminus4(i2003_11_14_17_20_46476) |
% 15.78/2.97 cminus8(i2003_11_14_17_20_46476)
% 15.78/2.97 (7) cminus9(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) |
% 15.78/2.97 cminus5(i2003_11_14_17_20_46476)
% 15.78/2.97 (8) ~ cminus4(i2003_11_14_17_20_46476)
% 15.78/2.97 (9) $i(i2003_11_14_17_20_46476)
% 15.78/2.97
% 15.78/2.97 Begin of proof
% 15.78/2.97 |
% 15.78/2.97 | BETA: splitting (7) gives:
% 15.78/2.97 |
% 15.78/2.97 | Case 1:
% 15.78/2.97 | |
% 15.78/2.97 | | (10) cminus9(i2003_11_14_17_20_46476)
% 15.78/2.97 | |
% 15.78/2.97 | | BETA: splitting (4) gives:
% 15.78/2.97 | |
% 15.78/2.97 | | Case 1:
% 15.78/2.97 | | |
% 15.78/2.97 | | | (11) cminus8(i2003_11_14_17_20_46476)
% 15.78/2.97 | | |
% 15.78/2.97 | | | GROUND_INST: instantiating (1) with i2003_11_14_17_20_46476, simplifying
% 15.78/2.97 | | | with (5), (9), (11) gives:
% 15.78/2.97 | | | (12) $false
% 15.78/2.97 | | |
% 15.78/2.97 | | | CLOSE: (12) is inconsistent.
% 15.78/2.97 | | |
% 15.78/2.97 | | Case 2:
% 15.78/2.97 | | |
% 15.78/2.97 | | | (13) ~ cminus8(i2003_11_14_17_20_46476)
% 15.78/2.97 | | |
% 15.78/2.97 | | | BETA: splitting (2) gives:
% 15.78/2.97 | | |
% 15.78/2.97 | | | Case 1:
% 15.78/2.97 | | | |
% 15.78/2.97 | | | | (14) cminus4(i2003_11_14_17_20_46476)
% 15.78/2.97 | | | |
% 15.78/2.97 | | | | PRED_UNIFY: (8), (14) imply:
% 15.78/2.97 | | | | (15) $false
% 15.78/2.97 | | | |
% 15.78/2.97 | | | | CLOSE: (15) is inconsistent.
% 15.78/2.97 | | | |
% 15.78/2.97 | | | Case 2:
% 15.78/2.97 | | | |
% 15.78/2.97 | | | | (16) cminus8(i2003_11_14_17_20_46476) |
% 15.78/2.97 | | | | cplus9(i2003_11_14_17_20_46476)
% 15.78/2.97 | | | |
% 15.78/2.97 | | | | BETA: splitting (16) gives:
% 15.78/2.97 | | | |
% 15.78/2.97 | | | | Case 1:
% 15.78/2.97 | | | | |
% 15.78/2.97 | | | | | (17) cminus8(i2003_11_14_17_20_46476)
% 15.78/2.97 | | | | |
% 15.78/2.97 | | | | | PRED_UNIFY: (13), (17) imply:
% 15.78/2.97 | | | | | (18) $false
% 15.78/2.97 | | | | |
% 15.78/2.97 | | | | | CLOSE: (18) is inconsistent.
% 15.78/2.97 | | | | |
% 15.78/2.97 | | | | Case 2:
% 15.78/2.97 | | | | |
% 15.78/2.97 | | | | | (19) cplus9(i2003_11_14_17_20_46476)
% 15.78/2.97 | | | | |
% 15.78/2.97 | | | | | GROUND_INST: instantiating (3) with i2003_11_14_17_20_46476,
% 15.78/2.97 | | | | | simplifying with (9), (10), (19) gives:
% 15.78/2.97 | | | | | (20) $false
% 15.78/2.97 | | | | |
% 15.78/2.97 | | | | | CLOSE: (20) is inconsistent.
% 15.78/2.97 | | | | |
% 15.78/2.97 | | | | End of split
% 15.78/2.97 | | | |
% 15.78/2.97 | | | End of split
% 15.78/2.97 | | |
% 15.78/2.97 | | End of split
% 15.78/2.97 | |
% 15.78/2.97 | Case 2:
% 15.78/2.97 | |
% 15.78/2.97 | | (21) ~ cminus9(i2003_11_14_17_20_46476)
% 15.78/2.97 | |
% 15.78/2.97 | | BETA: splitting (6) gives:
% 15.78/2.97 | |
% 15.78/2.97 | | Case 1:
% 15.78/2.97 | | |
% 15.78/2.97 | | | (22) cminus9(i2003_11_14_17_20_46476)
% 15.78/2.97 | | |
% 15.78/2.97 | | | PRED_UNIFY: (21), (22) imply:
% 15.78/2.97 | | | (23) $false
% 15.78/2.97 | | |
% 15.78/2.97 | | | CLOSE: (23) is inconsistent.
% 15.78/2.97 | | |
% 15.78/2.97 | | Case 2:
% 15.78/2.97 | | |
% 15.78/2.97 | | | (24) cminus4(i2003_11_14_17_20_46476) |
% 15.78/2.97 | | | cminus8(i2003_11_14_17_20_46476)
% 15.78/2.97 | | |
% 15.78/2.97 | | | BETA: splitting (24) gives:
% 15.78/2.97 | | |
% 15.78/2.97 | | | Case 1:
% 15.78/2.97 | | | |
% 15.78/2.97 | | | | (25) cminus4(i2003_11_14_17_20_46476)
% 15.78/2.97 | | | |
% 15.78/2.97 | | | | PRED_UNIFY: (8), (25) imply:
% 15.78/2.97 | | | | (26) $false
% 15.78/2.97 | | | |
% 15.78/2.97 | | | | CLOSE: (26) is inconsistent.
% 15.78/2.97 | | | |
% 15.78/2.97 | | | Case 2:
% 15.78/2.97 | | | |
% 15.78/2.97 | | | | (27) cminus8(i2003_11_14_17_20_46476)
% 15.78/2.97 | | | |
% 15.78/2.97 | | | | GROUND_INST: instantiating (1) with i2003_11_14_17_20_46476, simplifying
% 15.78/2.97 | | | | with (5), (9), (27) gives:
% 15.78/2.97 | | | | (28) $false
% 15.78/2.97 | | | |
% 15.78/2.97 | | | | CLOSE: (28) is inconsistent.
% 15.78/2.97 | | | |
% 15.78/2.97 | | | End of split
% 15.78/2.97 | | |
% 15.78/2.97 | | End of split
% 15.78/2.97 | |
% 15.78/2.97 | End of split
% 15.78/2.97 |
% 15.78/2.97 End of proof
% 15.78/2.97 % SZS output end Proof for theBenchmark
% 15.78/2.97
% 15.78/2.97 2319ms
%------------------------------------------------------------------------------