TSTP Solution File: LAT294+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : LAT294+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n004.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 06:24:29 EDT 2023
% Result : Theorem 12.23s 2.45s
% Output : Proof 19.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LAT294+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.32 % Computer : n004.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Thu Aug 24 05:54:53 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.59 ________ _____
% 0.18/0.59 ___ __ \_________(_)________________________________
% 0.18/0.59 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.18/0.59 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.18/0.59 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.18/0.59
% 0.18/0.59 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.18/0.59 (2023-06-19)
% 0.18/0.59
% 0.18/0.59 (c) Philipp Rümmer, 2009-2023
% 0.18/0.59 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.18/0.59 Amanda Stjerna.
% 0.18/0.59 Free software under BSD-3-Clause.
% 0.18/0.59
% 0.18/0.59 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.18/0.59
% 0.18/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.18/0.60 Running up to 7 provers in parallel.
% 0.18/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.18/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.18/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.18/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.18/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.18/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.18/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 2.81/1.10 Prover 1: Preprocessing ...
% 2.81/1.10 Prover 4: Preprocessing ...
% 3.15/1.14 Prover 0: Preprocessing ...
% 3.15/1.14 Prover 2: Preprocessing ...
% 3.15/1.14 Prover 5: Preprocessing ...
% 3.15/1.14 Prover 3: Preprocessing ...
% 3.15/1.14 Prover 6: Preprocessing ...
% 8.08/1.82 Prover 1: Warning: ignoring some quantifiers
% 8.30/1.85 Prover 5: Proving ...
% 8.30/1.89 Prover 1: Constructing countermodel ...
% 8.30/1.90 Prover 3: Warning: ignoring some quantifiers
% 8.30/1.90 Prover 6: Proving ...
% 8.30/1.91 Prover 3: Constructing countermodel ...
% 8.92/2.05 Prover 2: Proving ...
% 12.23/2.44 Prover 3: proved (1813ms)
% 12.23/2.45
% 12.23/2.45 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.23/2.45
% 12.23/2.45 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 12.23/2.45 Prover 2: stopped
% 12.23/2.46 Prover 5: proved (1821ms)
% 12.23/2.46
% 12.23/2.46 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.23/2.46
% 12.23/2.46 Prover 6: stopped
% 12.83/2.47 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 12.83/2.47 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 12.95/2.48 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 13.30/2.60 Prover 8: Preprocessing ...
% 13.30/2.61 Prover 7: Preprocessing ...
% 13.30/2.62 Prover 10: Preprocessing ...
% 13.30/2.64 Prover 11: Preprocessing ...
% 13.30/2.69 Prover 7: Warning: ignoring some quantifiers
% 13.30/2.71 Prover 7: Constructing countermodel ...
% 13.30/2.73 Prover 10: Warning: ignoring some quantifiers
% 13.30/2.75 Prover 10: Constructing countermodel ...
% 14.57/2.82 Prover 8: Warning: ignoring some quantifiers
% 15.44/2.83 Prover 8: Constructing countermodel ...
% 16.66/3.05 Prover 0: stopped
% 16.66/3.05 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 17.47/3.11 Prover 13: Preprocessing ...
% 17.75/3.19 Prover 10: Found proof (size 51)
% 17.75/3.19 Prover 10: proved (731ms)
% 17.75/3.19 Prover 7: stopped
% 17.75/3.19 Prover 1: stopped
% 17.75/3.20 Prover 8: stopped
% 18.37/3.21 Prover 13: Warning: ignoring some quantifiers
% 18.37/3.23 Prover 13: Constructing countermodel ...
% 18.37/3.23 Prover 4: stopped
% 18.37/3.24 Prover 13: stopped
% 18.75/3.28 Prover 11: stopped
% 18.75/3.28
% 18.75/3.28 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.75/3.28
% 18.75/3.29 % SZS output start Proof for theBenchmark
% 18.75/3.29 Assumptions after simplification:
% 18.75/3.29 ---------------------------------
% 18.75/3.30
% 18.75/3.30 (d11_binop_1)
% 18.75/3.32 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (k2_zfmisc_1(v0,
% 18.75/3.32 v0) = v2) | ~ $i(v3) | ~ $i(v1) | ~ $i(v0) | ~ r5_binop_1(v0, v1,
% 18.75/3.32 v3) | ~ r4_binop_1(v0, v1, v3) | ~ m2_relset_1(v3, v2, v0) | ~
% 18.75/3.32 m2_relset_1(v1, v2, v0) | ~ v1_funct_2(v3, v2, v0) | ~ v1_funct_2(v1, v2,
% 18.75/3.32 v0) | ~ v1_funct_1(v3) | ~ v1_funct_1(v1) | r6_binop_1(v0, v1, v3)) & !
% 18.75/3.32 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (k2_zfmisc_1(v0, v0)
% 18.75/3.32 = v2) | ~ $i(v3) | ~ $i(v1) | ~ $i(v0) | ~ r6_binop_1(v0, v1, v3) | ~
% 18.75/3.32 m2_relset_1(v3, v2, v0) | ~ m2_relset_1(v1, v2, v0) | ~ v1_funct_2(v3, v2,
% 18.75/3.32 v0) | ~ v1_funct_2(v1, v2, v0) | ~ v1_funct_1(v3) | ~ v1_funct_1(v1) |
% 18.75/3.32 r5_binop_1(v0, v1, v3)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 18.75/3.32 $i] : ( ~ (k2_zfmisc_1(v0, v0) = v2) | ~ $i(v3) | ~ $i(v1) | ~ $i(v0) |
% 18.75/3.32 ~ r6_binop_1(v0, v1, v3) | ~ m2_relset_1(v3, v2, v0) | ~ m2_relset_1(v1,
% 18.75/3.32 v2, v0) | ~ v1_funct_2(v3, v2, v0) | ~ v1_funct_2(v1, v2, v0) | ~
% 18.75/3.32 v1_funct_1(v3) | ~ v1_funct_1(v1) | r4_binop_1(v0, v1, v3))
% 18.75/3.32
% 18.75/3.32 (t3_filter_2)
% 18.75/3.33 ! [v0: $i] : ! [v1: $i] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ $i(v0) |
% 18.75/3.33 v1_xboole_0(v0) | ? [v2: $i] : (k2_zfmisc_1(v0, v0) = v2 & $i(v2) & ! [v3:
% 18.75/3.33 $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8:
% 18.75/3.33 $i] : ( ~ (k1_realset1(v7, v3) = v8) | ~ (k1_realset1(v5, v3) = v6) |
% 18.75/3.33 ~ (k2_zfmisc_1(v3, v3) = v4) | ~ $i(v8) | ~ $i(v7) | ~ $i(v6) | ~
% 18.75/3.33 $i(v5) | ~ $i(v3) | ~ r5_binop_1(v0, v5, v7) | ~ m2_relset_1(v8, v4,
% 18.75/3.33 v3) | ~ m2_relset_1(v7, v2, v0) | ~ m2_relset_1(v6, v4, v3) | ~
% 18.75/3.33 m2_relset_1(v5, v2, v0) | ~ v1_funct_2(v8, v4, v3) | ~ v1_funct_2(v7,
% 18.75/3.33 v2, v0) | ~ v1_funct_2(v6, v4, v3) | ~ v1_funct_2(v5, v2, v0) | ~
% 18.75/3.33 v1_funct_1(v8) | ~ v1_funct_1(v7) | ~ v1_funct_1(v6) | ~
% 18.75/3.33 v1_funct_1(v5) | ~ m1_subset_1(v3, v1) | r5_binop_1(v3, v6, v8) |
% 18.75/3.33 v1_xboole_0(v3)) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i]
% 18.75/3.33 : ! [v7: $i] : ! [v8: $i] : ( ~ (k1_realset1(v7, v3) = v8) | ~
% 18.75/3.33 (k1_realset1(v5, v3) = v6) | ~ (k2_zfmisc_1(v3, v3) = v4) | ~ $i(v8) |
% 18.75/3.33 ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v3) | ~ r4_binop_1(v0, v5,
% 18.75/3.33 v7) | ~ m2_relset_1(v8, v4, v3) | ~ m2_relset_1(v7, v2, v0) | ~
% 18.75/3.33 m2_relset_1(v6, v4, v3) | ~ m2_relset_1(v5, v2, v0) | ~ v1_funct_2(v8,
% 18.75/3.33 v4, v3) | ~ v1_funct_2(v7, v2, v0) | ~ v1_funct_2(v6, v4, v3) | ~
% 18.75/3.33 v1_funct_2(v5, v2, v0) | ~ v1_funct_1(v8) | ~ v1_funct_1(v7) | ~
% 18.75/3.33 v1_funct_1(v6) | ~ v1_funct_1(v5) | ~ m1_subset_1(v3, v1) |
% 18.75/3.33 r4_binop_1(v3, v6, v8) | v1_xboole_0(v3))))
% 18.75/3.33
% 18.75/3.33 (t4_filter_2)
% 18.75/3.33 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5:
% 18.75/3.33 $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : (k1_realset1(v7, v3) = v8 &
% 18.75/3.33 k1_realset1(v5, v3) = v6 & k2_zfmisc_1(v3, v3) = v4 & k2_zfmisc_1(v0, v0) =
% 18.75/3.33 v2 & k1_zfmisc_1(v0) = v1 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 18.75/3.33 $i(v3) & $i(v2) & $i(v1) & $i(v0) & r6_binop_1(v0, v5, v7) & m2_relset_1(v8,
% 18.75/3.33 v4, v3) & m2_relset_1(v7, v2, v0) & m2_relset_1(v6, v4, v3) &
% 18.75/3.33 m2_relset_1(v5, v2, v0) & v1_funct_2(v8, v4, v3) & v1_funct_2(v7, v2, v0) &
% 18.75/3.33 v1_funct_2(v6, v4, v3) & v1_funct_2(v5, v2, v0) & v1_funct_1(v8) &
% 18.75/3.33 v1_funct_1(v7) & v1_funct_1(v6) & v1_funct_1(v5) & m1_subset_1(v3, v1) & ~
% 18.75/3.33 r6_binop_1(v3, v6, v8) & ~ v1_xboole_0(v3) & ~ v1_xboole_0(v0))
% 18.75/3.33
% 18.75/3.33 (function-axioms)
% 18.75/3.34 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 18.75/3.34 (k7_relat_1(v3, v2) = v1) | ~ (k7_relat_1(v3, v2) = v0)) & ! [v0: $i] : !
% 18.75/3.34 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (k1_realset1(v3, v2) =
% 18.75/3.34 v1) | ~ (k1_realset1(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 18.75/3.34 $i] : ! [v3: $i] : (v1 = v0 | ~ (k2_zfmisc_1(v3, v2) = v1) | ~
% 18.75/3.34 (k2_zfmisc_1(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1
% 18.75/3.34 = v0 | ~ (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0))
% 18.75/3.34
% 18.75/3.34 Further assumptions not needed in the proof:
% 18.75/3.34 --------------------------------------------
% 18.75/3.34 antisymmetry_r2_hidden, cc1_funct_1, cc1_relset_1, cc2_funct_1, d3_realset1,
% 18.75/3.34 dt_k1_realset1, dt_k1_xboole_0, dt_k1_zfmisc_1, dt_k2_zfmisc_1, dt_k7_relat_1,
% 18.75/3.34 dt_m1_relset_1, dt_m1_subset_1, dt_m2_relset_1, existence_m1_relset_1,
% 18.75/3.34 existence_m1_subset_1, existence_m2_relset_1, fc1_realset1, fc1_subset_1,
% 18.75/3.34 fc1_xboole_0, fc2_realset1, fc4_funct_1, fc4_subset_1, rc1_funct_1,
% 18.75/3.34 rc1_subset_1, rc1_xboole_0, rc2_funct_1, rc2_subset_1, rc2_xboole_0,
% 18.75/3.34 rc3_funct_1, redefinition_m2_relset_1, reflexivity_r1_tarski, t1_subset,
% 18.75/3.34 t2_subset, t3_subset, t4_subset, t5_subset, t6_boole, t7_boole, t8_boole
% 18.75/3.34
% 18.75/3.34 Those formulas are unsatisfiable:
% 18.75/3.34 ---------------------------------
% 18.75/3.34
% 18.75/3.34 Begin of proof
% 18.75/3.34 |
% 18.75/3.34 | ALPHA: (d11_binop_1) implies:
% 18.75/3.34 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 18.75/3.34 | (k2_zfmisc_1(v0, v0) = v2) | ~ $i(v3) | ~ $i(v1) | ~ $i(v0) | ~
% 18.75/3.34 | r6_binop_1(v0, v1, v3) | ~ m2_relset_1(v3, v2, v0) | ~
% 18.75/3.34 | m2_relset_1(v1, v2, v0) | ~ v1_funct_2(v3, v2, v0) | ~
% 18.75/3.34 | v1_funct_2(v1, v2, v0) | ~ v1_funct_1(v3) | ~ v1_funct_1(v1) |
% 18.75/3.34 | r4_binop_1(v0, v1, v3))
% 18.75/3.34 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 18.75/3.34 | (k2_zfmisc_1(v0, v0) = v2) | ~ $i(v3) | ~ $i(v1) | ~ $i(v0) | ~
% 18.75/3.34 | r6_binop_1(v0, v1, v3) | ~ m2_relset_1(v3, v2, v0) | ~
% 18.75/3.34 | m2_relset_1(v1, v2, v0) | ~ v1_funct_2(v3, v2, v0) | ~
% 18.75/3.34 | v1_funct_2(v1, v2, v0) | ~ v1_funct_1(v3) | ~ v1_funct_1(v1) |
% 18.75/3.34 | r5_binop_1(v0, v1, v3))
% 18.75/3.35 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 18.75/3.35 | (k2_zfmisc_1(v0, v0) = v2) | ~ $i(v3) | ~ $i(v1) | ~ $i(v0) | ~
% 18.75/3.35 | r5_binop_1(v0, v1, v3) | ~ r4_binop_1(v0, v1, v3) | ~
% 18.75/3.35 | m2_relset_1(v3, v2, v0) | ~ m2_relset_1(v1, v2, v0) | ~
% 18.75/3.35 | v1_funct_2(v3, v2, v0) | ~ v1_funct_2(v1, v2, v0) | ~
% 18.75/3.35 | v1_funct_1(v3) | ~ v1_funct_1(v1) | r6_binop_1(v0, v1, v3))
% 18.75/3.35 |
% 18.75/3.35 | ALPHA: (function-axioms) implies:
% 18.75/3.35 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 18.75/3.35 | (k2_zfmisc_1(v3, v2) = v1) | ~ (k2_zfmisc_1(v3, v2) = v0))
% 18.75/3.35 |
% 18.75/3.35 | DELTA: instantiating (t4_filter_2) with fresh symbols all_44_0, all_44_1,
% 18.75/3.35 | all_44_2, all_44_3, all_44_4, all_44_5, all_44_6, all_44_7, all_44_8
% 18.75/3.35 | gives:
% 18.75/3.35 | (5) k1_realset1(all_44_1, all_44_5) = all_44_0 & k1_realset1(all_44_3,
% 18.75/3.35 | all_44_5) = all_44_2 & k2_zfmisc_1(all_44_5, all_44_5) = all_44_4 &
% 18.75/3.35 | k2_zfmisc_1(all_44_8, all_44_8) = all_44_6 & k1_zfmisc_1(all_44_8) =
% 18.75/3.35 | all_44_7 & $i(all_44_0) & $i(all_44_1) & $i(all_44_2) & $i(all_44_3) &
% 18.75/3.35 | $i(all_44_4) & $i(all_44_5) & $i(all_44_6) & $i(all_44_7) &
% 18.75/3.35 | $i(all_44_8) & r6_binop_1(all_44_8, all_44_3, all_44_1) &
% 18.75/3.35 | m2_relset_1(all_44_0, all_44_4, all_44_5) & m2_relset_1(all_44_1,
% 18.75/3.35 | all_44_6, all_44_8) & m2_relset_1(all_44_2, all_44_4, all_44_5) &
% 18.75/3.35 | m2_relset_1(all_44_3, all_44_6, all_44_8) & v1_funct_2(all_44_0,
% 18.75/3.35 | all_44_4, all_44_5) & v1_funct_2(all_44_1, all_44_6, all_44_8) &
% 18.75/3.35 | v1_funct_2(all_44_2, all_44_4, all_44_5) & v1_funct_2(all_44_3,
% 18.75/3.35 | all_44_6, all_44_8) & v1_funct_1(all_44_0) & v1_funct_1(all_44_1) &
% 18.75/3.35 | v1_funct_1(all_44_2) & v1_funct_1(all_44_3) & m1_subset_1(all_44_5,
% 18.75/3.35 | all_44_7) & ~ r6_binop_1(all_44_5, all_44_2, all_44_0) & ~
% 18.75/3.35 | v1_xboole_0(all_44_5) & ~ v1_xboole_0(all_44_8)
% 18.75/3.35 |
% 18.75/3.35 | ALPHA: (5) implies:
% 18.75/3.35 | (6) ~ v1_xboole_0(all_44_8)
% 18.75/3.35 | (7) ~ v1_xboole_0(all_44_5)
% 18.75/3.35 | (8) ~ r6_binop_1(all_44_5, all_44_2, all_44_0)
% 18.75/3.35 | (9) m1_subset_1(all_44_5, all_44_7)
% 18.75/3.35 | (10) v1_funct_1(all_44_3)
% 18.75/3.35 | (11) v1_funct_1(all_44_2)
% 18.75/3.35 | (12) v1_funct_1(all_44_1)
% 18.75/3.35 | (13) v1_funct_1(all_44_0)
% 18.75/3.35 | (14) v1_funct_2(all_44_3, all_44_6, all_44_8)
% 18.75/3.35 | (15) v1_funct_2(all_44_2, all_44_4, all_44_5)
% 18.75/3.35 | (16) v1_funct_2(all_44_1, all_44_6, all_44_8)
% 18.75/3.35 | (17) v1_funct_2(all_44_0, all_44_4, all_44_5)
% 18.75/3.36 | (18) m2_relset_1(all_44_3, all_44_6, all_44_8)
% 18.75/3.36 | (19) m2_relset_1(all_44_2, all_44_4, all_44_5)
% 18.75/3.36 | (20) m2_relset_1(all_44_1, all_44_6, all_44_8)
% 18.75/3.36 | (21) m2_relset_1(all_44_0, all_44_4, all_44_5)
% 18.75/3.36 | (22) r6_binop_1(all_44_8, all_44_3, all_44_1)
% 18.75/3.36 | (23) $i(all_44_8)
% 18.75/3.36 | (24) $i(all_44_5)
% 18.75/3.36 | (25) $i(all_44_3)
% 18.75/3.36 | (26) $i(all_44_2)
% 18.75/3.36 | (27) $i(all_44_1)
% 18.75/3.36 | (28) $i(all_44_0)
% 18.75/3.36 | (29) k1_zfmisc_1(all_44_8) = all_44_7
% 18.75/3.36 | (30) k2_zfmisc_1(all_44_8, all_44_8) = all_44_6
% 18.75/3.36 | (31) k2_zfmisc_1(all_44_5, all_44_5) = all_44_4
% 18.75/3.36 | (32) k1_realset1(all_44_3, all_44_5) = all_44_2
% 18.75/3.36 | (33) k1_realset1(all_44_1, all_44_5) = all_44_0
% 18.75/3.36 |
% 18.75/3.36 | GROUND_INST: instantiating (t3_filter_2) with all_44_8, all_44_7, simplifying
% 18.75/3.36 | with (6), (23), (29) gives:
% 18.75/3.36 | (34) ? [v0: $i] : (k2_zfmisc_1(all_44_8, all_44_8) = v0 & $i(v0) & ! [v1:
% 18.75/3.36 | $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 18.75/3.36 | [v6: $i] : ( ~ (k1_realset1(v5, v1) = v6) | ~ (k1_realset1(v3, v1)
% 18.75/3.36 | = v4) | ~ (k2_zfmisc_1(v1, v1) = v2) | ~ $i(v6) | ~ $i(v5) |
% 18.75/3.36 | ~ $i(v4) | ~ $i(v3) | ~ $i(v1) | ~ r5_binop_1(all_44_8, v3, v5)
% 18.75/3.36 | | ~ m2_relset_1(v6, v2, v1) | ~ m2_relset_1(v5, v0, all_44_8) |
% 18.75/3.36 | ~ m2_relset_1(v4, v2, v1) | ~ m2_relset_1(v3, v0, all_44_8) | ~
% 18.75/3.36 | v1_funct_2(v6, v2, v1) | ~ v1_funct_2(v5, v0, all_44_8) | ~
% 18.75/3.36 | v1_funct_2(v4, v2, v1) | ~ v1_funct_2(v3, v0, all_44_8) | ~
% 18.75/3.36 | v1_funct_1(v6) | ~ v1_funct_1(v5) | ~ v1_funct_1(v4) | ~
% 18.75/3.36 | v1_funct_1(v3) | ~ m1_subset_1(v1, all_44_7) | r5_binop_1(v1, v4,
% 18.75/3.36 | v6) | v1_xboole_0(v1)) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i]
% 18.75/3.36 | : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~ (k1_realset1(v5, v1)
% 18.75/3.36 | = v6) | ~ (k1_realset1(v3, v1) = v4) | ~ (k2_zfmisc_1(v1, v1)
% 18.75/3.36 | = v2) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~
% 18.75/3.36 | $i(v1) | ~ r4_binop_1(all_44_8, v3, v5) | ~ m2_relset_1(v6, v2,
% 18.75/3.36 | v1) | ~ m2_relset_1(v5, v0, all_44_8) | ~ m2_relset_1(v4, v2,
% 18.75/3.36 | v1) | ~ m2_relset_1(v3, v0, all_44_8) | ~ v1_funct_2(v6, v2,
% 18.75/3.36 | v1) | ~ v1_funct_2(v5, v0, all_44_8) | ~ v1_funct_2(v4, v2,
% 18.75/3.36 | v1) | ~ v1_funct_2(v3, v0, all_44_8) | ~ v1_funct_1(v6) | ~
% 18.75/3.36 | v1_funct_1(v5) | ~ v1_funct_1(v4) | ~ v1_funct_1(v3) | ~
% 18.75/3.36 | m1_subset_1(v1, all_44_7) | r4_binop_1(v1, v4, v6) |
% 18.75/3.36 | v1_xboole_0(v1)))
% 18.75/3.36 |
% 18.75/3.37 | GROUND_INST: instantiating (2) with all_44_8, all_44_3, all_44_6, all_44_1,
% 18.75/3.37 | simplifying with (10), (12), (14), (16), (18), (20), (22), (23),
% 18.75/3.37 | (25), (27), (30) gives:
% 18.75/3.37 | (35) r5_binop_1(all_44_8, all_44_3, all_44_1)
% 18.75/3.37 |
% 18.75/3.37 | GROUND_INST: instantiating (1) with all_44_8, all_44_3, all_44_6, all_44_1,
% 18.75/3.37 | simplifying with (10), (12), (14), (16), (18), (20), (22), (23),
% 18.75/3.37 | (25), (27), (30) gives:
% 18.75/3.37 | (36) r4_binop_1(all_44_8, all_44_3, all_44_1)
% 18.75/3.37 |
% 18.75/3.37 | DELTA: instantiating (34) with fresh symbol all_56_0 gives:
% 18.75/3.37 | (37) k2_zfmisc_1(all_44_8, all_44_8) = all_56_0 & $i(all_56_0) & ! [v0:
% 18.75/3.37 | $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 18.75/3.37 | [v5: $i] : ( ~ (k1_realset1(v4, v0) = v5) | ~ (k1_realset1(v2, v0) =
% 18.75/3.37 | v3) | ~ (k2_zfmisc_1(v0, v0) = v1) | ~ $i(v5) | ~ $i(v4) | ~
% 18.75/3.37 | $i(v3) | ~ $i(v2) | ~ $i(v0) | ~ r5_binop_1(all_44_8, v2, v4) |
% 18.75/3.37 | ~ m2_relset_1(v5, v1, v0) | ~ m2_relset_1(v4, all_56_0, all_44_8) |
% 18.75/3.37 | ~ m2_relset_1(v3, v1, v0) | ~ m2_relset_1(v2, all_56_0, all_44_8)
% 18.75/3.37 | | ~ v1_funct_2(v5, v1, v0) | ~ v1_funct_2(v4, all_56_0, all_44_8)
% 18.75/3.37 | | ~ v1_funct_2(v3, v1, v0) | ~ v1_funct_2(v2, all_56_0, all_44_8)
% 18.75/3.37 | | ~ v1_funct_1(v5) | ~ v1_funct_1(v4) | ~ v1_funct_1(v3) | ~
% 18.75/3.37 | v1_funct_1(v2) | ~ m1_subset_1(v0, all_44_7) | r5_binop_1(v0, v3,
% 18.75/3.37 | v5) | v1_xboole_0(v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 18.75/3.37 | ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (k1_realset1(v4, v0) =
% 18.75/3.37 | v5) | ~ (k1_realset1(v2, v0) = v3) | ~ (k2_zfmisc_1(v0, v0) =
% 18.75/3.37 | v1) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v0) |
% 18.75/3.37 | ~ r4_binop_1(all_44_8, v2, v4) | ~ m2_relset_1(v5, v1, v0) | ~
% 18.75/3.37 | m2_relset_1(v4, all_56_0, all_44_8) | ~ m2_relset_1(v3, v1, v0) |
% 19.18/3.37 | ~ m2_relset_1(v2, all_56_0, all_44_8) | ~ v1_funct_2(v5, v1, v0) |
% 19.18/3.37 | ~ v1_funct_2(v4, all_56_0, all_44_8) | ~ v1_funct_2(v3, v1, v0) |
% 19.18/3.37 | ~ v1_funct_2(v2, all_56_0, all_44_8) | ~ v1_funct_1(v5) | ~
% 19.18/3.37 | v1_funct_1(v4) | ~ v1_funct_1(v3) | ~ v1_funct_1(v2) | ~
% 19.18/3.37 | m1_subset_1(v0, all_44_7) | r4_binop_1(v0, v3, v5) |
% 19.18/3.37 | v1_xboole_0(v0))
% 19.18/3.37 |
% 19.18/3.37 | ALPHA: (37) implies:
% 19.18/3.37 | (38) k2_zfmisc_1(all_44_8, all_44_8) = all_56_0
% 19.18/3.37 | (39) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 19.18/3.37 | ! [v5: $i] : ( ~ (k1_realset1(v4, v0) = v5) | ~ (k1_realset1(v2, v0)
% 19.18/3.37 | = v3) | ~ (k2_zfmisc_1(v0, v0) = v1) | ~ $i(v5) | ~ $i(v4) | ~
% 19.18/3.37 | $i(v3) | ~ $i(v2) | ~ $i(v0) | ~ r4_binop_1(all_44_8, v2, v4) |
% 19.18/3.37 | ~ m2_relset_1(v5, v1, v0) | ~ m2_relset_1(v4, all_56_0, all_44_8) |
% 19.18/3.37 | ~ m2_relset_1(v3, v1, v0) | ~ m2_relset_1(v2, all_56_0, all_44_8)
% 19.18/3.37 | | ~ v1_funct_2(v5, v1, v0) | ~ v1_funct_2(v4, all_56_0, all_44_8)
% 19.18/3.37 | | ~ v1_funct_2(v3, v1, v0) | ~ v1_funct_2(v2, all_56_0, all_44_8)
% 19.18/3.37 | | ~ v1_funct_1(v5) | ~ v1_funct_1(v4) | ~ v1_funct_1(v3) | ~
% 19.18/3.37 | v1_funct_1(v2) | ~ m1_subset_1(v0, all_44_7) | r4_binop_1(v0, v3,
% 19.18/3.37 | v5) | v1_xboole_0(v0))
% 19.18/3.38 | (40) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 19.18/3.38 | ! [v5: $i] : ( ~ (k1_realset1(v4, v0) = v5) | ~ (k1_realset1(v2, v0)
% 19.18/3.38 | = v3) | ~ (k2_zfmisc_1(v0, v0) = v1) | ~ $i(v5) | ~ $i(v4) | ~
% 19.18/3.38 | $i(v3) | ~ $i(v2) | ~ $i(v0) | ~ r5_binop_1(all_44_8, v2, v4) |
% 19.18/3.38 | ~ m2_relset_1(v5, v1, v0) | ~ m2_relset_1(v4, all_56_0, all_44_8) |
% 19.18/3.38 | ~ m2_relset_1(v3, v1, v0) | ~ m2_relset_1(v2, all_56_0, all_44_8)
% 19.18/3.38 | | ~ v1_funct_2(v5, v1, v0) | ~ v1_funct_2(v4, all_56_0, all_44_8)
% 19.18/3.38 | | ~ v1_funct_2(v3, v1, v0) | ~ v1_funct_2(v2, all_56_0, all_44_8)
% 19.18/3.38 | | ~ v1_funct_1(v5) | ~ v1_funct_1(v4) | ~ v1_funct_1(v3) | ~
% 19.18/3.38 | v1_funct_1(v2) | ~ m1_subset_1(v0, all_44_7) | r5_binop_1(v0, v3,
% 19.18/3.38 | v5) | v1_xboole_0(v0))
% 19.18/3.38 |
% 19.18/3.38 | GROUND_INST: instantiating (4) with all_44_6, all_56_0, all_44_8, all_44_8,
% 19.18/3.38 | simplifying with (30), (38) gives:
% 19.18/3.38 | (41) all_56_0 = all_44_6
% 19.18/3.38 |
% 19.18/3.38 | GROUND_INST: instantiating (40) with all_44_5, all_44_4, all_44_3, all_44_2,
% 19.18/3.38 | all_44_1, all_44_0, simplifying with (7), (9), (10), (11), (12),
% 19.18/3.38 | (13), (15), (17), (19), (21), (24), (25), (26), (27), (28), (31),
% 19.18/3.38 | (32), (33), (35) gives:
% 19.18/3.38 | (42) ~ m2_relset_1(all_44_1, all_56_0, all_44_8) | ~
% 19.18/3.38 | m2_relset_1(all_44_3, all_56_0, all_44_8) | ~ v1_funct_2(all_44_1,
% 19.18/3.38 | all_56_0, all_44_8) | ~ v1_funct_2(all_44_3, all_56_0, all_44_8) |
% 19.18/3.38 | r5_binop_1(all_44_5, all_44_2, all_44_0)
% 19.18/3.38 |
% 19.18/3.38 | GROUND_INST: instantiating (39) with all_44_5, all_44_4, all_44_3, all_44_2,
% 19.18/3.38 | all_44_1, all_44_0, simplifying with (7), (9), (10), (11), (12),
% 19.18/3.38 | (13), (15), (17), (19), (21), (24), (25), (26), (27), (28), (31),
% 19.18/3.38 | (32), (33), (36) gives:
% 19.18/3.38 | (43) ~ m2_relset_1(all_44_1, all_56_0, all_44_8) | ~
% 19.18/3.38 | m2_relset_1(all_44_3, all_56_0, all_44_8) | ~ v1_funct_2(all_44_1,
% 19.18/3.38 | all_56_0, all_44_8) | ~ v1_funct_2(all_44_3, all_56_0, all_44_8) |
% 19.18/3.38 | r4_binop_1(all_44_5, all_44_2, all_44_0)
% 19.18/3.38 |
% 19.18/3.38 | BETA: splitting (43) gives:
% 19.18/3.38 |
% 19.18/3.38 | Case 1:
% 19.18/3.38 | |
% 19.18/3.38 | | (44) ~ m2_relset_1(all_44_1, all_56_0, all_44_8)
% 19.18/3.38 | |
% 19.18/3.38 | | REDUCE: (41), (44) imply:
% 19.18/3.38 | | (45) ~ m2_relset_1(all_44_1, all_44_6, all_44_8)
% 19.18/3.38 | |
% 19.18/3.38 | | PRED_UNIFY: (20), (45) imply:
% 19.18/3.38 | | (46) $false
% 19.18/3.39 | |
% 19.18/3.39 | | CLOSE: (46) is inconsistent.
% 19.18/3.39 | |
% 19.18/3.39 | Case 2:
% 19.18/3.39 | |
% 19.18/3.39 | | (47) m2_relset_1(all_44_1, all_56_0, all_44_8)
% 19.18/3.39 | | (48) ~ m2_relset_1(all_44_3, all_56_0, all_44_8) | ~
% 19.18/3.39 | | v1_funct_2(all_44_1, all_56_0, all_44_8) | ~ v1_funct_2(all_44_3,
% 19.18/3.39 | | all_56_0, all_44_8) | r4_binop_1(all_44_5, all_44_2, all_44_0)
% 19.18/3.39 | |
% 19.18/3.39 | | BETA: splitting (48) gives:
% 19.18/3.39 | |
% 19.18/3.39 | | Case 1:
% 19.18/3.39 | | |
% 19.18/3.39 | | | (49) ~ m2_relset_1(all_44_3, all_56_0, all_44_8)
% 19.18/3.39 | | |
% 19.18/3.39 | | | REDUCE: (41), (49) imply:
% 19.18/3.39 | | | (50) ~ m2_relset_1(all_44_3, all_44_6, all_44_8)
% 19.18/3.39 | | |
% 19.18/3.39 | | | PRED_UNIFY: (18), (50) imply:
% 19.18/3.39 | | | (51) $false
% 19.18/3.39 | | |
% 19.18/3.39 | | | CLOSE: (51) is inconsistent.
% 19.18/3.39 | | |
% 19.18/3.39 | | Case 2:
% 19.18/3.39 | | |
% 19.18/3.39 | | | (52) m2_relset_1(all_44_3, all_56_0, all_44_8)
% 19.18/3.39 | | | (53) ~ v1_funct_2(all_44_1, all_56_0, all_44_8) | ~
% 19.18/3.39 | | | v1_funct_2(all_44_3, all_56_0, all_44_8) | r4_binop_1(all_44_5,
% 19.18/3.39 | | | all_44_2, all_44_0)
% 19.18/3.39 | | |
% 19.18/3.39 | | | BETA: splitting (53) gives:
% 19.18/3.39 | | |
% 19.18/3.39 | | | Case 1:
% 19.18/3.39 | | | |
% 19.18/3.39 | | | | (54) ~ v1_funct_2(all_44_1, all_56_0, all_44_8)
% 19.18/3.39 | | | |
% 19.18/3.39 | | | | REDUCE: (41), (54) imply:
% 19.18/3.39 | | | | (55) ~ v1_funct_2(all_44_1, all_44_6, all_44_8)
% 19.18/3.39 | | | |
% 19.18/3.39 | | | | PRED_UNIFY: (16), (55) imply:
% 19.18/3.39 | | | | (56) $false
% 19.18/3.39 | | | |
% 19.18/3.39 | | | | CLOSE: (56) is inconsistent.
% 19.18/3.39 | | | |
% 19.18/3.39 | | | Case 2:
% 19.18/3.39 | | | |
% 19.18/3.39 | | | | (57) v1_funct_2(all_44_1, all_56_0, all_44_8)
% 19.18/3.39 | | | | (58) ~ v1_funct_2(all_44_3, all_56_0, all_44_8) |
% 19.18/3.39 | | | | r4_binop_1(all_44_5, all_44_2, all_44_0)
% 19.18/3.39 | | | |
% 19.18/3.39 | | | | BETA: splitting (58) gives:
% 19.18/3.39 | | | |
% 19.18/3.39 | | | | Case 1:
% 19.18/3.39 | | | | |
% 19.18/3.39 | | | | | (59) ~ v1_funct_2(all_44_3, all_56_0, all_44_8)
% 19.18/3.39 | | | | |
% 19.18/3.39 | | | | | REDUCE: (41), (59) imply:
% 19.18/3.39 | | | | | (60) ~ v1_funct_2(all_44_3, all_44_6, all_44_8)
% 19.18/3.39 | | | | |
% 19.18/3.39 | | | | | PRED_UNIFY: (14), (60) imply:
% 19.18/3.39 | | | | | (61) $false
% 19.18/3.39 | | | | |
% 19.18/3.39 | | | | | CLOSE: (61) is inconsistent.
% 19.18/3.39 | | | | |
% 19.18/3.39 | | | | Case 2:
% 19.18/3.39 | | | | |
% 19.18/3.39 | | | | | (62) v1_funct_2(all_44_3, all_56_0, all_44_8)
% 19.18/3.39 | | | | | (63) r4_binop_1(all_44_5, all_44_2, all_44_0)
% 19.18/3.39 | | | | |
% 19.18/3.39 | | | | | BETA: splitting (42) gives:
% 19.18/3.39 | | | | |
% 19.18/3.39 | | | | | Case 1:
% 19.18/3.39 | | | | | |
% 19.18/3.39 | | | | | | (64) ~ m2_relset_1(all_44_1, all_56_0, all_44_8)
% 19.18/3.39 | | | | | |
% 19.18/3.39 | | | | | | REDUCE: (41), (64) imply:
% 19.18/3.39 | | | | | | (65) ~ m2_relset_1(all_44_1, all_44_6, all_44_8)
% 19.18/3.39 | | | | | |
% 19.18/3.39 | | | | | | PRED_UNIFY: (20), (65) imply:
% 19.18/3.39 | | | | | | (66) $false
% 19.18/3.39 | | | | | |
% 19.18/3.39 | | | | | | CLOSE: (66) is inconsistent.
% 19.18/3.39 | | | | | |
% 19.18/3.39 | | | | | Case 2:
% 19.18/3.39 | | | | | |
% 19.18/3.39 | | | | | | (67) ~ m2_relset_1(all_44_3, all_56_0, all_44_8) | ~
% 19.18/3.39 | | | | | | v1_funct_2(all_44_1, all_56_0, all_44_8) | ~
% 19.18/3.39 | | | | | | v1_funct_2(all_44_3, all_56_0, all_44_8) |
% 19.18/3.39 | | | | | | r5_binop_1(all_44_5, all_44_2, all_44_0)
% 19.18/3.39 | | | | | |
% 19.18/3.39 | | | | | | BETA: splitting (67) gives:
% 19.18/3.39 | | | | | |
% 19.18/3.39 | | | | | | Case 1:
% 19.18/3.39 | | | | | | |
% 19.18/3.39 | | | | | | | (68) ~ m2_relset_1(all_44_3, all_56_0, all_44_8)
% 19.18/3.39 | | | | | | |
% 19.18/3.39 | | | | | | | REDUCE: (41), (68) imply:
% 19.18/3.39 | | | | | | | (69) ~ m2_relset_1(all_44_3, all_44_6, all_44_8)
% 19.18/3.39 | | | | | | |
% 19.18/3.39 | | | | | | | PRED_UNIFY: (18), (69) imply:
% 19.18/3.39 | | | | | | | (70) $false
% 19.18/3.39 | | | | | | |
% 19.18/3.39 | | | | | | | CLOSE: (70) is inconsistent.
% 19.18/3.39 | | | | | | |
% 19.18/3.39 | | | | | | Case 2:
% 19.18/3.39 | | | | | | |
% 19.18/3.39 | | | | | | | (71) ~ v1_funct_2(all_44_1, all_56_0, all_44_8) | ~
% 19.18/3.39 | | | | | | | v1_funct_2(all_44_3, all_56_0, all_44_8) |
% 19.18/3.39 | | | | | | | r5_binop_1(all_44_5, all_44_2, all_44_0)
% 19.18/3.39 | | | | | | |
% 19.18/3.39 | | | | | | | BETA: splitting (71) gives:
% 19.18/3.39 | | | | | | |
% 19.18/3.39 | | | | | | | Case 1:
% 19.18/3.39 | | | | | | | |
% 19.18/3.39 | | | | | | | | (72) ~ v1_funct_2(all_44_1, all_56_0, all_44_8)
% 19.18/3.39 | | | | | | | |
% 19.18/3.39 | | | | | | | | REDUCE: (41), (72) imply:
% 19.18/3.39 | | | | | | | | (73) ~ v1_funct_2(all_44_1, all_44_6, all_44_8)
% 19.18/3.39 | | | | | | | |
% 19.18/3.39 | | | | | | | | PRED_UNIFY: (16), (73) imply:
% 19.18/3.39 | | | | | | | | (74) $false
% 19.18/3.39 | | | | | | | |
% 19.18/3.39 | | | | | | | | CLOSE: (74) is inconsistent.
% 19.18/3.39 | | | | | | | |
% 19.18/3.39 | | | | | | | Case 2:
% 19.18/3.39 | | | | | | | |
% 19.18/3.39 | | | | | | | | (75) ~ v1_funct_2(all_44_3, all_56_0, all_44_8) |
% 19.18/3.39 | | | | | | | | r5_binop_1(all_44_5, all_44_2, all_44_0)
% 19.18/3.39 | | | | | | | |
% 19.18/3.39 | | | | | | | | BETA: splitting (75) gives:
% 19.18/3.39 | | | | | | | |
% 19.18/3.39 | | | | | | | | Case 1:
% 19.18/3.39 | | | | | | | | |
% 19.18/3.39 | | | | | | | | | (76) ~ v1_funct_2(all_44_3, all_56_0, all_44_8)
% 19.18/3.39 | | | | | | | | |
% 19.18/3.39 | | | | | | | | | REDUCE: (41), (76) imply:
% 19.18/3.39 | | | | | | | | | (77) ~ v1_funct_2(all_44_3, all_44_6, all_44_8)
% 19.18/3.39 | | | | | | | | |
% 19.18/3.39 | | | | | | | | | PRED_UNIFY: (14), (77) imply:
% 19.18/3.39 | | | | | | | | | (78) $false
% 19.18/3.39 | | | | | | | | |
% 19.18/3.39 | | | | | | | | | CLOSE: (78) is inconsistent.
% 19.18/3.39 | | | | | | | | |
% 19.18/3.39 | | | | | | | | Case 2:
% 19.18/3.39 | | | | | | | | |
% 19.18/3.39 | | | | | | | | | (79) r5_binop_1(all_44_5, all_44_2, all_44_0)
% 19.18/3.39 | | | | | | | | |
% 19.18/3.39 | | | | | | | | | GROUND_INST: instantiating (3) with all_44_5, all_44_2,
% 19.18/3.39 | | | | | | | | | all_44_4, all_44_0, simplifying with (8), (11),
% 19.18/3.39 | | | | | | | | | (13), (15), (17), (19), (21), (24), (26), (28),
% 19.18/3.39 | | | | | | | | | (31), (63), (79) gives:
% 19.18/3.39 | | | | | | | | | (80) $false
% 19.18/3.39 | | | | | | | | |
% 19.18/3.39 | | | | | | | | | CLOSE: (80) is inconsistent.
% 19.18/3.39 | | | | | | | | |
% 19.18/3.40 | | | | | | | | End of split
% 19.18/3.40 | | | | | | | |
% 19.18/3.40 | | | | | | | End of split
% 19.18/3.40 | | | | | | |
% 19.18/3.40 | | | | | | End of split
% 19.18/3.40 | | | | | |
% 19.18/3.40 | | | | | End of split
% 19.18/3.40 | | | | |
% 19.18/3.40 | | | | End of split
% 19.18/3.40 | | | |
% 19.18/3.40 | | | End of split
% 19.18/3.40 | | |
% 19.18/3.40 | | End of split
% 19.18/3.40 | |
% 19.18/3.40 | End of split
% 19.18/3.40 |
% 19.18/3.40 End of proof
% 19.18/3.40 % SZS output end Proof for theBenchmark
% 19.18/3.40
% 19.18/3.40 2803ms
%------------------------------------------------------------------------------