TSTP Solution File: SEU156+3 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SEU156+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n003.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 17:42:51 EDT 2023
% Result : Theorem 7.82s 1.83s
% Output : Proof 20.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU156+3 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n003.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 : Wed Aug 23 13:50:22 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.60 ________ _____
% 0.19/0.60 ___ __ \_________(_)________________________________
% 0.19/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.19/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.19/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.19/0.60
% 0.19/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.60 (2023-06-19)
% 0.19/0.60
% 0.19/0.60 (c) Philipp Rümmer, 2009-2023
% 0.19/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.60 Amanda Stjerna.
% 0.19/0.60 Free software under BSD-3-Clause.
% 0.19/0.60
% 0.19/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.60
% 0.19/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.19/0.61 Running up to 7 provers in parallel.
% 0.19/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.19/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 1.84/0.99 Prover 1: Preprocessing ...
% 1.84/0.99 Prover 4: Preprocessing ...
% 1.84/1.03 Prover 3: Preprocessing ...
% 1.84/1.03 Prover 6: Preprocessing ...
% 1.84/1.03 Prover 2: Preprocessing ...
% 1.84/1.03 Prover 0: Preprocessing ...
% 1.84/1.03 Prover 5: Preprocessing ...
% 3.25/1.18 Prover 3: Warning: ignoring some quantifiers
% 3.63/1.20 Prover 6: Proving ...
% 3.63/1.21 Prover 3: Constructing countermodel ...
% 3.63/1.21 Prover 1: Warning: ignoring some quantifiers
% 3.63/1.21 Prover 4: Constructing countermodel ...
% 3.63/1.22 Prover 1: Constructing countermodel ...
% 3.63/1.22 Prover 5: Proving ...
% 3.97/1.25 Prover 2: Proving ...
% 3.97/1.25 Prover 0: Proving ...
% 3.97/1.35 Prover 3: gave up
% 3.97/1.35 Prover 1: gave up
% 3.97/1.35 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 3.97/1.35 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 3.97/1.36 Prover 6: gave up
% 3.97/1.36 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 3.97/1.38 Prover 9: Preprocessing ...
% 3.97/1.38 Prover 8: Preprocessing ...
% 3.97/1.39 Prover 7: Preprocessing ...
% 4.95/1.45 Prover 7: Warning: ignoring some quantifiers
% 4.95/1.46 Prover 7: Constructing countermodel ...
% 4.95/1.47 Prover 8: Warning: ignoring some quantifiers
% 4.95/1.47 Prover 9: Warning: ignoring some quantifiers
% 5.58/1.48 Prover 9: Constructing countermodel ...
% 5.58/1.49 Prover 8: Constructing countermodel ...
% 6.14/1.58 Prover 8: gave up
% 6.14/1.58 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 6.64/1.62 Prover 10: Preprocessing ...
% 6.98/1.67 Prover 10: Warning: ignoring some quantifiers
% 6.98/1.67 Prover 10: Constructing countermodel ...
% 6.98/1.70 Prover 10: gave up
% 6.98/1.72 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 6.98/1.73 Prover 11: Preprocessing ...
% 7.82/1.78 Prover 11: Constructing countermodel ...
% 7.82/1.83 Prover 5: proved (1195ms)
% 7.82/1.83
% 7.82/1.83 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.82/1.83
% 7.82/1.83 Prover 9: stopped
% 7.82/1.83 Prover 2: stopped
% 7.82/1.83 Prover 0: stopped
% 8.21/1.83 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 8.21/1.83 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 8.21/1.83 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 8.21/1.84 Prover 16: Preprocessing ...
% 8.21/1.84 Prover 13: Preprocessing ...
% 8.37/1.85 Prover 19: Preprocessing ...
% 8.37/1.88 Prover 16: Warning: ignoring some quantifiers
% 8.37/1.88 Prover 16: Constructing countermodel ...
% 8.37/1.89 Prover 13: Warning: ignoring some quantifiers
% 8.37/1.89 Prover 13: Constructing countermodel ...
% 8.37/1.90 Prover 19: Warning: ignoring some quantifiers
% 8.37/1.91 Prover 19: Constructing countermodel ...
% 8.37/1.92 Prover 13: gave up
% 8.91/1.95 Prover 19: gave up
% 8.91/2.02 Prover 16: gave up
% 19.85/3.70 Prover 4: Found proof (size 109)
% 19.85/3.70 Prover 4: proved (3070ms)
% 19.85/3.70 Prover 7: stopped
% 19.85/3.70 Prover 11: stopped
% 19.85/3.70
% 19.85/3.70 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.85/3.70
% 20.29/3.72 % SZS output start Proof for theBenchmark
% 20.29/3.72 Assumptions after simplification:
% 20.29/3.72 ---------------------------------
% 20.29/3.72
% 20.29/3.72 (commutativity_k2_tarski)
% 20.29/3.74 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (unordered_pair(v1, v0) = v2) |
% 20.29/3.75 ~ $i(v1) | ~ $i(v0) | (unordered_pair(v0, v1) = v2 & $i(v2))) & ! [v0: $i]
% 20.29/3.75 : ! [v1: $i] : ! [v2: $i] : ( ~ (unordered_pair(v0, v1) = v2) | ~ $i(v1) |
% 20.29/3.75 ~ $i(v0) | (unordered_pair(v1, v0) = v2 & $i(v2)))
% 20.29/3.75
% 20.29/3.75 (d5_tarski)
% 20.29/3.75 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (ordered_pair(v0, v1) = v2) | ~
% 20.29/3.75 $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] : (singleton(v0) = v4 &
% 20.29/3.75 unordered_pair(v3, v4) = v2 & unordered_pair(v0, v1) = v3 & $i(v4) &
% 20.29/3.75 $i(v3) & $i(v2))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 20.29/3.75 (unordered_pair(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ?
% 20.29/3.75 [v4: $i] : (ordered_pair(v0, v1) = v3 & singleton(v0) = v4 &
% 20.29/3.75 unordered_pair(v2, v4) = v3 & $i(v4) & $i(v3)))
% 20.29/3.75
% 20.29/3.75 (t10_zfmisc_1)
% 20.29/3.75 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v3 = v0
% 20.29/3.75 | v2 = v0 | ~ (unordered_pair(v2, v3) = v4) | ~ (unordered_pair(v0, v1) =
% 20.29/3.75 v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0))
% 20.29/3.75
% 20.29/3.75 (t33_zfmisc_1)
% 20.29/3.75 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 20.29/3.75 (ordered_pair(v2, v3) = v4 & ordered_pair(v0, v1) = v4 & $i(v4) & $i(v3) &
% 20.29/3.75 $i(v2) & $i(v1) & $i(v0) & ( ~ (v3 = v1) | ~ (v2 = v0)))
% 20.29/3.75
% 20.29/3.75 (t69_enumset1)
% 20.29/3.75 ! [v0: $i] : ! [v1: $i] : ( ~ (singleton(v0) = v1) | ~ $i(v0) |
% 20.29/3.75 (unordered_pair(v0, v0) = v1 & $i(v1))) & ! [v0: $i] : ! [v1: $i] : ( ~
% 20.29/3.75 (unordered_pair(v0, v0) = v1) | ~ $i(v0) | (singleton(v0) = v1 & $i(v1)))
% 20.29/3.75
% 20.29/3.75 (t8_zfmisc_1)
% 20.29/3.76 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 20.29/3.76 (singleton(v0) = v3) | ~ (unordered_pair(v1, v2) = v3) | ~ $i(v2) | ~
% 20.29/3.76 $i(v1) | ~ $i(v0))
% 20.29/3.76
% 20.29/3.76 (t9_zfmisc_1)
% 20.29/3.76 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v2 = v1 | ~
% 20.29/3.76 (singleton(v0) = v3) | ~ (unordered_pair(v1, v2) = v3) | ~ $i(v2) | ~
% 20.29/3.76 $i(v1) | ~ $i(v0))
% 20.29/3.76
% 20.29/3.76 (function-axioms)
% 20.29/3.76 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 20.29/3.76 [v3: $i] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0)) &
% 20.29/3.76 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 20.29/3.76 (ordered_pair(v3, v2) = v1) | ~ (ordered_pair(v3, v2) = v0)) & ! [v0: $i]
% 20.29/3.76 : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (unordered_pair(v3,
% 20.29/3.76 v2) = v1) | ~ (unordered_pair(v3, v2) = v0)) & ! [v0:
% 20.29/3.76 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 20.29/3.76 ~ (empty(v2) = v1) | ~ (empty(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 20.29/3.76 [v2: $i] : (v1 = v0 | ~ (singleton(v2) = v1) | ~ (singleton(v2) = v0))
% 20.29/3.76
% 20.29/3.76 Further assumptions not needed in the proof:
% 20.29/3.76 --------------------------------------------
% 20.29/3.76 fc1_zfmisc_1, rc1_xboole_0, rc2_xboole_0, reflexivity_r1_tarski, t6_zfmisc_1
% 20.29/3.76
% 20.29/3.76 Those formulas are unsatisfiable:
% 20.29/3.76 ---------------------------------
% 20.29/3.76
% 20.29/3.76 Begin of proof
% 20.29/3.76 |
% 20.29/3.76 | ALPHA: (commutativity_k2_tarski) implies:
% 20.29/3.76 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (unordered_pair(v1, v0) =
% 20.29/3.76 | v2) | ~ $i(v1) | ~ $i(v0) | (unordered_pair(v0, v1) = v2 &
% 20.29/3.76 | $i(v2)))
% 20.29/3.76 |
% 20.29/3.76 | ALPHA: (d5_tarski) implies:
% 20.29/3.77 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (unordered_pair(v0, v1) =
% 20.29/3.77 | v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] :
% 20.29/3.77 | (ordered_pair(v0, v1) = v3 & singleton(v0) = v4 & unordered_pair(v2,
% 20.29/3.77 | v4) = v3 & $i(v4) & $i(v3)))
% 20.29/3.77 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (ordered_pair(v0, v1) =
% 20.29/3.77 | v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] :
% 20.29/3.77 | (singleton(v0) = v4 & unordered_pair(v3, v4) = v2 &
% 20.29/3.77 | unordered_pair(v0, v1) = v3 & $i(v4) & $i(v3) & $i(v2)))
% 20.29/3.77 |
% 20.29/3.77 | ALPHA: (t69_enumset1) implies:
% 20.29/3.77 | (4) ! [v0: $i] : ! [v1: $i] : ( ~ (singleton(v0) = v1) | ~ $i(v0) |
% 20.29/3.77 | (unordered_pair(v0, v0) = v1 & $i(v1)))
% 20.29/3.77 |
% 20.29/3.77 | ALPHA: (function-axioms) implies:
% 20.29/3.77 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (singleton(v2)
% 20.29/3.77 | = v1) | ~ (singleton(v2) = v0))
% 20.29/3.77 |
% 20.29/3.77 | DELTA: instantiating (t33_zfmisc_1) with fresh symbols all_16_0, all_16_1,
% 20.29/3.77 | all_16_2, all_16_3, all_16_4 gives:
% 20.61/3.77 | (6) ordered_pair(all_16_2, all_16_1) = all_16_0 & ordered_pair(all_16_4,
% 20.61/3.77 | all_16_3) = all_16_0 & $i(all_16_0) & $i(all_16_1) & $i(all_16_2) &
% 20.61/3.77 | $i(all_16_3) & $i(all_16_4) & ( ~ (all_16_1 = all_16_3) | ~ (all_16_2
% 20.61/3.77 | = all_16_4))
% 20.61/3.77 |
% 20.61/3.77 | ALPHA: (6) implies:
% 20.61/3.77 | (7) $i(all_16_4)
% 20.61/3.77 | (8) $i(all_16_3)
% 20.61/3.77 | (9) $i(all_16_2)
% 20.61/3.77 | (10) $i(all_16_1)
% 20.61/3.77 | (11) ordered_pair(all_16_4, all_16_3) = all_16_0
% 20.61/3.77 | (12) ordered_pair(all_16_2, all_16_1) = all_16_0
% 20.61/3.77 | (13) ~ (all_16_1 = all_16_3) | ~ (all_16_2 = all_16_4)
% 20.61/3.77 |
% 20.61/3.77 | GROUND_INST: instantiating (3) with all_16_4, all_16_3, all_16_0, simplifying
% 20.61/3.77 | with (7), (8), (11) gives:
% 20.61/3.78 | (14) ? [v0: $i] : ? [v1: $i] : (singleton(all_16_4) = v1 &
% 20.61/3.78 | unordered_pair(v0, v1) = all_16_0 & unordered_pair(all_16_4,
% 20.61/3.78 | all_16_3) = v0 & $i(v1) & $i(v0) & $i(all_16_0))
% 20.61/3.78 |
% 20.61/3.78 | GROUND_INST: instantiating (3) with all_16_2, all_16_1, all_16_0, simplifying
% 20.61/3.78 | with (9), (10), (12) gives:
% 20.61/3.78 | (15) ? [v0: $i] : ? [v1: $i] : (singleton(all_16_2) = v1 &
% 20.61/3.78 | unordered_pair(v0, v1) = all_16_0 & unordered_pair(all_16_2,
% 20.61/3.78 | all_16_1) = v0 & $i(v1) & $i(v0) & $i(all_16_0))
% 20.61/3.78 |
% 20.61/3.78 | DELTA: instantiating (14) with fresh symbols all_25_0, all_25_1 gives:
% 20.61/3.78 | (16) singleton(all_16_4) = all_25_0 & unordered_pair(all_25_1, all_25_0) =
% 20.61/3.78 | all_16_0 & unordered_pair(all_16_4, all_16_3) = all_25_1 &
% 20.61/3.78 | $i(all_25_0) & $i(all_25_1) & $i(all_16_0)
% 20.61/3.78 |
% 20.61/3.78 | ALPHA: (16) implies:
% 20.61/3.78 | (17) $i(all_25_0)
% 20.61/3.78 | (18) unordered_pair(all_16_4, all_16_3) = all_25_1
% 20.61/3.78 | (19) unordered_pair(all_25_1, all_25_0) = all_16_0
% 20.61/3.78 | (20) singleton(all_16_4) = all_25_0
% 20.61/3.78 |
% 20.61/3.78 | DELTA: instantiating (15) with fresh symbols all_27_0, all_27_1 gives:
% 20.61/3.78 | (21) singleton(all_16_2) = all_27_0 & unordered_pair(all_27_1, all_27_0) =
% 20.61/3.78 | all_16_0 & unordered_pair(all_16_2, all_16_1) = all_27_1 &
% 20.61/3.78 | $i(all_27_0) & $i(all_27_1) & $i(all_16_0)
% 20.61/3.78 |
% 20.61/3.78 | ALPHA: (21) implies:
% 20.61/3.78 | (22) $i(all_27_0)
% 20.61/3.78 | (23) unordered_pair(all_16_2, all_16_1) = all_27_1
% 20.61/3.78 | (24) unordered_pair(all_27_1, all_27_0) = all_16_0
% 20.61/3.78 | (25) singleton(all_16_2) = all_27_0
% 20.61/3.78 |
% 20.61/3.78 | GROUND_INST: instantiating (1) with all_16_3, all_16_4, all_25_1, simplifying
% 20.61/3.78 | with (7), (8), (18) gives:
% 20.61/3.78 | (26) unordered_pair(all_16_3, all_16_4) = all_25_1 & $i(all_25_1)
% 20.61/3.78 |
% 20.61/3.78 | ALPHA: (26) implies:
% 20.61/3.78 | (27) $i(all_25_1)
% 20.61/3.78 | (28) unordered_pair(all_16_3, all_16_4) = all_25_1
% 20.61/3.78 |
% 20.61/3.78 | GROUND_INST: instantiating (1) with all_16_1, all_16_2, all_27_1, simplifying
% 20.61/3.78 | with (9), (10), (23) gives:
% 20.61/3.78 | (29) unordered_pair(all_16_1, all_16_2) = all_27_1 & $i(all_27_1)
% 20.61/3.78 |
% 20.61/3.78 | ALPHA: (29) implies:
% 20.61/3.78 | (30) $i(all_27_1)
% 20.61/3.78 | (31) unordered_pair(all_16_1, all_16_2) = all_27_1
% 20.61/3.78 |
% 20.61/3.78 | GROUND_INST: instantiating (1) with all_25_0, all_25_1, all_16_0, simplifying
% 20.61/3.78 | with (17), (19), (27) gives:
% 20.61/3.78 | (32) unordered_pair(all_25_0, all_25_1) = all_16_0 & $i(all_16_0)
% 20.61/3.78 |
% 20.61/3.78 | ALPHA: (32) implies:
% 20.61/3.78 | (33) unordered_pair(all_25_0, all_25_1) = all_16_0
% 20.61/3.78 |
% 20.61/3.78 | GROUND_INST: instantiating (1) with all_27_0, all_27_1, all_16_0, simplifying
% 20.61/3.78 | with (22), (24), (30) gives:
% 20.61/3.78 | (34) unordered_pair(all_27_0, all_27_1) = all_16_0 & $i(all_16_0)
% 20.61/3.78 |
% 20.61/3.78 | ALPHA: (34) implies:
% 20.61/3.78 | (35) unordered_pair(all_27_0, all_27_1) = all_16_0
% 20.61/3.78 |
% 20.61/3.78 | GROUND_INST: instantiating (4) with all_16_4, all_25_0, simplifying with (7),
% 20.61/3.78 | (20) gives:
% 20.61/3.78 | (36) unordered_pair(all_16_4, all_16_4) = all_25_0 & $i(all_25_0)
% 20.61/3.78 |
% 20.61/3.78 | ALPHA: (36) implies:
% 20.61/3.78 | (37) unordered_pair(all_16_4, all_16_4) = all_25_0
% 20.61/3.78 |
% 20.61/3.79 | GROUND_INST: instantiating (4) with all_16_2, all_27_0, simplifying with (9),
% 20.61/3.79 | (25) gives:
% 20.61/3.79 | (38) unordered_pair(all_16_2, all_16_2) = all_27_0 & $i(all_27_0)
% 20.61/3.79 |
% 20.61/3.79 | ALPHA: (38) implies:
% 20.61/3.79 | (39) unordered_pair(all_16_2, all_16_2) = all_27_0
% 20.61/3.79 |
% 20.61/3.79 | GROUND_INST: instantiating (2) with all_16_4, all_16_4, all_25_0, simplifying
% 20.61/3.79 | with (7), (37) gives:
% 20.61/3.79 | (40) ? [v0: $i] : ? [v1: $i] : (ordered_pair(all_16_4, all_16_4) = v0 &
% 20.61/3.79 | singleton(all_16_4) = v1 & unordered_pair(all_25_0, v1) = v0 &
% 20.61/3.79 | $i(v1) & $i(v0))
% 20.61/3.79 |
% 20.61/3.79 | GROUND_INST: instantiating (2) with all_16_2, all_16_2, all_27_0, simplifying
% 20.61/3.79 | with (9), (39) gives:
% 20.61/3.79 | (41) ? [v0: $i] : ? [v1: $i] : (ordered_pair(all_16_2, all_16_2) = v0 &
% 20.61/3.79 | singleton(all_16_2) = v1 & unordered_pair(all_27_0, v1) = v0 &
% 20.61/3.79 | $i(v1) & $i(v0))
% 20.61/3.79 |
% 20.61/3.79 | GROUND_INST: instantiating (t10_zfmisc_1) with all_27_1, all_27_0, all_25_0,
% 20.61/3.79 | all_25_1, all_16_0, simplifying with (17), (22), (24), (27),
% 20.61/3.79 | (30), (33) gives:
% 20.61/3.79 | (42) all_27_1 = all_25_0 | all_27_1 = all_25_1
% 20.61/3.79 |
% 20.61/3.79 | GROUND_INST: instantiating (t10_zfmisc_1) with all_25_1, all_25_0, all_27_0,
% 20.61/3.79 | all_27_1, all_16_0, simplifying with (17), (19), (22), (27),
% 20.61/3.79 | (30), (35) gives:
% 20.61/3.79 | (43) all_27_0 = all_25_1 | all_27_1 = all_25_1
% 20.61/3.79 |
% 20.61/3.79 | GROUND_INST: instantiating (t10_zfmisc_1) with all_25_0, all_25_1, all_27_0,
% 20.61/3.79 | all_27_1, all_16_0, simplifying with (17), (22), (27), (30),
% 20.61/3.79 | (33), (35) gives:
% 20.61/3.79 | (44) all_27_0 = all_25_0 | all_27_1 = all_25_0
% 20.61/3.79 |
% 20.61/3.79 | GROUND_INST: instantiating (t10_zfmisc_1) with all_27_0, all_27_1, all_25_0,
% 20.61/3.79 | all_25_1, all_16_0, simplifying with (17), (22), (27), (30),
% 20.61/3.79 | (33), (35) gives:
% 20.61/3.79 | (45) all_27_0 = all_25_0 | all_27_0 = all_25_1
% 20.61/3.79 |
% 20.61/3.79 | DELTA: instantiating (41) with fresh symbols all_53_0, all_53_1 gives:
% 20.61/3.79 | (46) ordered_pair(all_16_2, all_16_2) = all_53_1 & singleton(all_16_2) =
% 20.61/3.79 | all_53_0 & unordered_pair(all_27_0, all_53_0) = all_53_1 &
% 20.61/3.79 | $i(all_53_0) & $i(all_53_1)
% 20.61/3.79 |
% 20.61/3.79 | ALPHA: (46) implies:
% 20.61/3.79 | (47) singleton(all_16_2) = all_53_0
% 20.61/3.79 |
% 20.61/3.79 | DELTA: instantiating (40) with fresh symbols all_57_0, all_57_1 gives:
% 20.61/3.79 | (48) ordered_pair(all_16_4, all_16_4) = all_57_1 & singleton(all_16_4) =
% 20.61/3.79 | all_57_0 & unordered_pair(all_25_0, all_57_0) = all_57_1 &
% 20.61/3.79 | $i(all_57_0) & $i(all_57_1)
% 20.61/3.79 |
% 20.61/3.79 | ALPHA: (48) implies:
% 20.61/3.79 | (49) singleton(all_16_4) = all_57_0
% 20.61/3.79 |
% 20.61/3.79 | GROUND_INST: instantiating (5) with all_25_0, all_57_0, all_16_4, simplifying
% 20.61/3.79 | with (20), (49) gives:
% 20.61/3.79 | (50) all_57_0 = all_25_0
% 20.61/3.79 |
% 20.61/3.79 | GROUND_INST: instantiating (5) with all_27_0, all_53_0, all_16_2, simplifying
% 20.61/3.79 | with (25), (47) gives:
% 20.61/3.79 | (51) all_53_0 = all_27_0
% 20.61/3.79 |
% 20.61/3.79 | BETA: splitting (13) gives:
% 20.61/3.79 |
% 20.61/3.79 | Case 1:
% 20.61/3.79 | |
% 20.61/3.79 | | (52) ~ (all_16_1 = all_16_3)
% 20.61/3.79 | |
% 20.61/3.79 | | BETA: splitting (42) gives:
% 20.61/3.79 | |
% 20.61/3.79 | | Case 1:
% 20.61/3.79 | | |
% 20.61/3.80 | | | (53) all_27_1 = all_25_0
% 20.61/3.80 | | |
% 20.61/3.80 | | | REDUCE: (31), (53) imply:
% 20.61/3.80 | | | (54) unordered_pair(all_16_1, all_16_2) = all_25_0
% 20.61/3.80 | | |
% 20.61/3.80 | | | BETA: splitting (43) gives:
% 20.61/3.80 | | |
% 20.61/3.80 | | | Case 1:
% 20.61/3.80 | | | |
% 20.61/3.80 | | | | (55) all_27_0 = all_25_1
% 20.61/3.80 | | | |
% 20.61/3.80 | | | | REDUCE: (25), (55) imply:
% 20.61/3.80 | | | | (56) singleton(all_16_2) = all_25_1
% 20.61/3.80 | | | |
% 20.61/3.80 | | | | GROUND_INST: instantiating (t9_zfmisc_1) with all_16_4, all_16_1,
% 20.61/3.80 | | | | all_16_2, all_25_0, simplifying with (7), (9), (10), (20),
% 20.61/3.80 | | | | (54) gives:
% 20.61/3.80 | | | | (57) all_16_1 = all_16_2
% 20.61/3.80 | | | |
% 20.61/3.80 | | | | GROUND_INST: instantiating (t8_zfmisc_1) with all_16_4, all_16_1,
% 20.61/3.80 | | | | all_16_2, all_25_0, simplifying with (7), (9), (10), (20),
% 20.61/3.80 | | | | (54) gives:
% 20.61/3.80 | | | | (58) all_16_1 = all_16_4
% 20.61/3.80 | | | |
% 20.61/3.80 | | | | GROUND_INST: instantiating (t8_zfmisc_1) with all_16_2, all_16_3,
% 20.61/3.80 | | | | all_16_4, all_25_1, simplifying with (7), (8), (9), (28),
% 20.61/3.80 | | | | (56) gives:
% 20.61/3.80 | | | | (59) all_16_2 = all_16_3
% 20.61/3.80 | | | |
% 20.61/3.80 | | | | COMBINE_EQS: (57), (58) imply:
% 20.61/3.80 | | | | (60) all_16_2 = all_16_4
% 20.61/3.80 | | | |
% 20.61/3.80 | | | | SIMP: (60) implies:
% 20.61/3.80 | | | | (61) all_16_2 = all_16_4
% 20.61/3.80 | | | |
% 20.61/3.80 | | | | COMBINE_EQS: (59), (61) imply:
% 20.61/3.80 | | | | (62) all_16_3 = all_16_4
% 20.61/3.80 | | | |
% 20.61/3.80 | | | | SIMP: (62) implies:
% 20.61/3.80 | | | | (63) all_16_3 = all_16_4
% 20.61/3.80 | | | |
% 20.61/3.80 | | | | REDUCE: (52), (58), (63) imply:
% 20.61/3.80 | | | | (64) $false
% 20.61/3.80 | | | |
% 20.61/3.80 | | | | CLOSE: (64) is inconsistent.
% 20.61/3.80 | | | |
% 20.61/3.80 | | | Case 2:
% 20.61/3.80 | | | |
% 20.61/3.80 | | | | (65) all_27_1 = all_25_1
% 20.61/3.80 | | | | (66) ~ (all_27_0 = all_25_1)
% 20.61/3.80 | | | |
% 20.61/3.80 | | | | COMBINE_EQS: (53), (65) imply:
% 20.61/3.80 | | | | (67) all_25_0 = all_25_1
% 20.61/3.80 | | | |
% 20.61/3.80 | | | | REF_CLOSE: (45), (66), (67) are inconsistent by sub-proof #1.
% 20.61/3.80 | | | |
% 20.61/3.80 | | | End of split
% 20.61/3.80 | | |
% 20.61/3.80 | | Case 2:
% 20.61/3.80 | | |
% 20.61/3.80 | | | (68) all_27_1 = all_25_1
% 20.61/3.80 | | | (69) ~ (all_27_1 = all_25_0)
% 20.61/3.80 | | |
% 20.61/3.80 | | | REDUCE: (68), (69) imply:
% 20.61/3.80 | | | (70) ~ (all_25_0 = all_25_1)
% 20.61/3.80 | | |
% 20.61/3.80 | | | SIMP: (70) implies:
% 20.61/3.80 | | | (71) ~ (all_25_0 = all_25_1)
% 20.61/3.80 | | |
% 20.61/3.80 | | | REDUCE: (31), (68) imply:
% 20.61/3.80 | | | (72) unordered_pair(all_16_1, all_16_2) = all_25_1
% 20.61/3.80 | | |
% 20.61/3.80 | | | BETA: splitting (44) gives:
% 20.61/3.80 | | |
% 20.61/3.80 | | | Case 1:
% 20.61/3.80 | | | |
% 20.61/3.80 | | | | (73) all_27_0 = all_25_0
% 20.61/3.80 | | | |
% 20.61/3.80 | | | | REDUCE: (25), (73) imply:
% 20.61/3.80 | | | | (74) singleton(all_16_2) = all_25_0
% 20.61/3.80 | | | |
% 20.61/3.80 | | | | GROUND_INST: instantiating (t10_zfmisc_1) with all_16_3, all_16_4,
% 20.61/3.80 | | | | all_16_1, all_16_2, all_25_1, simplifying with (7), (8),
% 20.61/3.80 | | | | (9), (10), (28), (72) gives:
% 20.61/3.80 | | | | (75) all_16_1 = all_16_3 | all_16_2 = all_16_3
% 20.61/3.80 | | | |
% 20.61/3.80 | | | | GROUND_INST: instantiating (t10_zfmisc_1) with all_16_1, all_16_2,
% 20.61/3.80 | | | | all_16_4, all_16_3, all_25_1, simplifying with (7), (8),
% 20.61/3.80 | | | | (9), (10), (18), (72) gives:
% 20.61/3.80 | | | | (76) all_16_1 = all_16_3 | all_16_1 = all_16_4
% 20.61/3.80 | | | |
% 20.61/3.80 | | | | GROUND_INST: instantiating (t8_zfmisc_1) with all_16_2, all_16_4,
% 20.61/3.80 | | | | all_16_4, all_25_0, simplifying with (7), (9), (37), (74)
% 20.61/3.80 | | | | gives:
% 20.61/3.80 | | | | (77) all_16_2 = all_16_4
% 20.61/3.80 | | | |
% 20.61/3.80 | | | | BETA: splitting (75) gives:
% 20.61/3.80 | | | |
% 20.61/3.80 | | | | Case 1:
% 20.61/3.80 | | | | |
% 20.61/3.80 | | | | | (78) all_16_1 = all_16_3
% 20.61/3.80 | | | | |
% 20.61/3.80 | | | | | REDUCE: (52), (78) imply:
% 20.61/3.80 | | | | | (79) $false
% 20.61/3.80 | | | | |
% 20.61/3.80 | | | | | CLOSE: (79) is inconsistent.
% 20.61/3.80 | | | | |
% 20.61/3.80 | | | | Case 2:
% 20.61/3.80 | | | | |
% 20.61/3.81 | | | | | (80) all_16_2 = all_16_3
% 20.61/3.81 | | | | |
% 20.61/3.81 | | | | | COMBINE_EQS: (77), (80) imply:
% 20.61/3.81 | | | | | (81) all_16_3 = all_16_4
% 20.61/3.81 | | | | |
% 20.61/3.81 | | | | | SIMP: (81) implies:
% 20.61/3.81 | | | | | (82) all_16_3 = all_16_4
% 20.61/3.81 | | | | |
% 20.61/3.81 | | | | | REDUCE: (52), (82) imply:
% 20.61/3.81 | | | | | (83) ~ (all_16_1 = all_16_4)
% 20.61/3.81 | | | | |
% 20.61/3.81 | | | | | BETA: splitting (76) gives:
% 20.61/3.81 | | | | |
% 20.61/3.81 | | | | | Case 1:
% 20.61/3.81 | | | | | |
% 20.61/3.81 | | | | | | (84) all_16_1 = all_16_3
% 20.61/3.81 | | | | | |
% 20.61/3.81 | | | | | | COMBINE_EQS: (82), (84) imply:
% 20.61/3.81 | | | | | | (85) all_16_1 = all_16_4
% 20.61/3.81 | | | | | |
% 20.61/3.81 | | | | | | REDUCE: (83), (85) imply:
% 20.61/3.81 | | | | | | (86) $false
% 20.61/3.81 | | | | | |
% 20.61/3.81 | | | | | | CLOSE: (86) is inconsistent.
% 20.61/3.81 | | | | | |
% 20.61/3.81 | | | | | Case 2:
% 20.61/3.81 | | | | | |
% 20.61/3.81 | | | | | | (87) all_16_1 = all_16_4
% 20.61/3.81 | | | | | |
% 20.61/3.81 | | | | | | REDUCE: (83), (87) imply:
% 20.61/3.81 | | | | | | (88) $false
% 20.61/3.81 | | | | | |
% 20.61/3.81 | | | | | | CLOSE: (88) is inconsistent.
% 20.61/3.81 | | | | | |
% 20.61/3.81 | | | | | End of split
% 20.61/3.81 | | | | |
% 20.61/3.81 | | | | End of split
% 20.61/3.81 | | | |
% 20.61/3.81 | | | Case 2:
% 20.61/3.81 | | | |
% 20.61/3.81 | | | | (89) all_27_1 = all_25_0
% 20.61/3.81 | | | |
% 20.61/3.81 | | | | COMBINE_EQS: (68), (89) imply:
% 20.61/3.81 | | | | (90) all_25_0 = all_25_1
% 20.61/3.81 | | | |
% 20.61/3.81 | | | | SIMP: (90) implies:
% 20.61/3.81 | | | | (91) all_25_0 = all_25_1
% 20.61/3.81 | | | |
% 20.61/3.81 | | | | REDUCE: (71), (91) imply:
% 20.61/3.81 | | | | (92) $false
% 20.61/3.81 | | | |
% 20.61/3.81 | | | | CLOSE: (92) is inconsistent.
% 20.61/3.81 | | | |
% 20.61/3.81 | | | End of split
% 20.61/3.81 | | |
% 20.61/3.81 | | End of split
% 20.61/3.81 | |
% 20.61/3.81 | Case 2:
% 20.61/3.81 | |
% 20.61/3.81 | | (93) all_16_1 = all_16_3
% 20.61/3.81 | | (94) ~ (all_16_2 = all_16_4)
% 20.61/3.81 | |
% 20.61/3.81 | | BETA: splitting (42) gives:
% 20.61/3.81 | |
% 20.61/3.81 | | Case 1:
% 20.61/3.81 | | |
% 20.61/3.81 | | | (95) all_27_1 = all_25_0
% 20.61/3.81 | | |
% 20.61/3.81 | | | BETA: splitting (43) gives:
% 20.61/3.81 | | |
% 20.61/3.81 | | | Case 1:
% 20.61/3.81 | | | |
% 20.61/3.81 | | | | (96) all_27_0 = all_25_1
% 20.61/3.81 | | | |
% 20.61/3.81 | | | | REDUCE: (25), (96) imply:
% 20.61/3.81 | | | | (97) singleton(all_16_2) = all_25_1
% 20.61/3.81 | | | |
% 20.61/3.81 | | | | GROUND_INST: instantiating (t8_zfmisc_1) with all_16_2, all_16_4,
% 20.61/3.81 | | | | all_16_3, all_25_1, simplifying with (7), (8), (9), (18),
% 20.61/3.81 | | | | (97) gives:
% 20.61/3.81 | | | | (98) all_16_2 = all_16_4
% 20.61/3.81 | | | |
% 20.61/3.81 | | | | REDUCE: (94), (98) imply:
% 20.61/3.81 | | | | (99) $false
% 20.61/3.81 | | | |
% 20.61/3.81 | | | | CLOSE: (99) is inconsistent.
% 20.61/3.81 | | | |
% 20.61/3.81 | | | Case 2:
% 20.61/3.81 | | | |
% 20.61/3.81 | | | | (100) all_27_1 = all_25_1
% 20.61/3.81 | | | | (101) ~ (all_27_0 = all_25_1)
% 20.61/3.81 | | | |
% 20.61/3.81 | | | | COMBINE_EQS: (95), (100) imply:
% 20.61/3.81 | | | | (102) all_25_0 = all_25_1
% 20.61/3.81 | | | |
% 20.61/3.81 | | | | REF_CLOSE: (45), (101), (102) are inconsistent by sub-proof #1.
% 20.61/3.81 | | | |
% 20.61/3.81 | | | End of split
% 20.61/3.81 | | |
% 20.61/3.81 | | Case 2:
% 20.61/3.81 | | |
% 20.61/3.81 | | | (103) all_27_1 = all_25_1
% 20.61/3.81 | | | (104) ~ (all_27_1 = all_25_0)
% 20.61/3.81 | | |
% 20.61/3.81 | | | REDUCE: (103), (104) imply:
% 20.61/3.81 | | | (105) ~ (all_25_0 = all_25_1)
% 20.61/3.81 | | |
% 20.61/3.81 | | | SIMP: (105) implies:
% 20.61/3.81 | | | (106) ~ (all_25_0 = all_25_1)
% 20.61/3.81 | | |
% 20.61/3.81 | | | BETA: splitting (44) gives:
% 20.61/3.81 | | |
% 20.61/3.81 | | | Case 1:
% 20.61/3.81 | | | |
% 20.61/3.81 | | | | (107) all_27_0 = all_25_0
% 20.61/3.81 | | | |
% 20.61/3.81 | | | | REDUCE: (25), (107) imply:
% 20.61/3.81 | | | | (108) singleton(all_16_2) = all_25_0
% 20.61/3.81 | | | |
% 20.61/3.81 | | | | GROUND_INST: instantiating (t8_zfmisc_1) with all_16_2, all_16_4,
% 20.61/3.81 | | | | all_16_4, all_25_0, simplifying with (7), (9), (37), (108)
% 20.61/3.81 | | | | gives:
% 20.61/3.81 | | | | (109) all_16_2 = all_16_4
% 20.61/3.81 | | | |
% 20.61/3.81 | | | | REDUCE: (94), (109) imply:
% 20.61/3.81 | | | | (110) $false
% 20.61/3.81 | | | |
% 20.61/3.81 | | | | CLOSE: (110) is inconsistent.
% 20.61/3.81 | | | |
% 20.61/3.81 | | | Case 2:
% 20.61/3.81 | | | |
% 20.61/3.81 | | | | (111) all_27_1 = all_25_0
% 20.61/3.81 | | | |
% 20.61/3.81 | | | | COMBINE_EQS: (103), (111) imply:
% 20.61/3.81 | | | | (112) all_25_0 = all_25_1
% 20.61/3.81 | | | |
% 20.61/3.81 | | | | SIMP: (112) implies:
% 20.61/3.81 | | | | (113) all_25_0 = all_25_1
% 20.61/3.81 | | | |
% 20.61/3.81 | | | | REDUCE: (106), (113) imply:
% 20.61/3.81 | | | | (114) $false
% 20.61/3.81 | | | |
% 20.61/3.81 | | | | CLOSE: (114) is inconsistent.
% 20.61/3.81 | | | |
% 20.61/3.81 | | | End of split
% 20.61/3.81 | | |
% 20.61/3.81 | | End of split
% 20.61/3.81 | |
% 20.61/3.81 | End of split
% 20.61/3.81 |
% 20.61/3.81 End of proof
% 20.61/3.81
% 20.61/3.81 Sub-proof #1 shows that the following formulas are inconsistent:
% 20.61/3.81 ----------------------------------------------------------------
% 20.61/3.81 (1) all_27_0 = all_25_0 | all_27_0 = all_25_1
% 20.61/3.81 (2) all_25_0 = all_25_1
% 20.61/3.81 (3) ~ (all_27_0 = all_25_1)
% 20.61/3.81
% 20.61/3.81 Begin of proof
% 20.61/3.81 |
% 20.61/3.81 | BETA: splitting (1) gives:
% 20.61/3.81 |
% 20.61/3.81 | Case 1:
% 20.61/3.81 | |
% 20.61/3.81 | | (4) all_27_0 = all_25_0
% 20.61/3.81 | |
% 20.61/3.81 | | COMBINE_EQS: (2), (4) imply:
% 20.61/3.81 | | (5) all_27_0 = all_25_1
% 20.61/3.81 | |
% 20.61/3.81 | | REDUCE: (3), (5) imply:
% 20.61/3.81 | | (6) $false
% 20.61/3.81 | |
% 20.61/3.81 | | CLOSE: (6) is inconsistent.
% 20.61/3.81 | |
% 20.61/3.81 | Case 2:
% 20.61/3.81 | |
% 20.61/3.81 | | (7) all_27_0 = all_25_1
% 20.61/3.81 | |
% 20.61/3.81 | | REDUCE: (3), (7) imply:
% 20.61/3.81 | | (8) $false
% 20.61/3.81 | |
% 20.61/3.81 | | CLOSE: (8) is inconsistent.
% 20.61/3.81 | |
% 20.61/3.81 | End of split
% 20.61/3.81 |
% 20.61/3.81 End of proof
% 20.61/3.81 % SZS output end Proof for theBenchmark
% 20.61/3.81
% 20.61/3.81 3213ms
%------------------------------------------------------------------------------