TSTP Solution File: CAT025+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : CAT025+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 : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 18:18:23 EDT 2023
% Result : Theorem 24.69s 4.08s
% Output : Proof 24.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CAT025+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.17/0.33 % Computer : n027.cluster.edu
% 0.17/0.33 % Model : x86_64 x86_64
% 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33 % Memory : 8042.1875MB
% 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Sun Aug 27 01:10:35 EDT 2023
% 0.17/0.34 % CPUTime :
% 0.19/0.63 ________ _____
% 0.19/0.63 ___ __ \_________(_)________________________________
% 0.19/0.63 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.19/0.63 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.19/0.63 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.19/0.63
% 0.19/0.63 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.63 (2023-06-19)
% 0.19/0.63
% 0.19/0.63 (c) Philipp Rümmer, 2009-2023
% 0.19/0.63 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.63 Amanda Stjerna.
% 0.19/0.63 Free software under BSD-3-Clause.
% 0.19/0.63
% 0.19/0.63 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.63
% 0.19/0.63 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.19/0.64 Running up to 7 provers in parallel.
% 0.19/0.66 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.66 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.66 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.66 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.66 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.66 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.66 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.22/1.19 Prover 4: Preprocessing ...
% 3.22/1.19 Prover 1: Preprocessing ...
% 3.78/1.23 Prover 6: Preprocessing ...
% 3.78/1.23 Prover 2: Preprocessing ...
% 3.78/1.23 Prover 3: Preprocessing ...
% 3.78/1.23 Prover 5: Preprocessing ...
% 3.78/1.23 Prover 0: Preprocessing ...
% 8.30/1.85 Prover 1: Warning: ignoring some quantifiers
% 8.76/1.94 Prover 5: Proving ...
% 9.04/1.96 Prover 1: Constructing countermodel ...
% 9.04/1.99 Prover 6: Proving ...
% 9.04/2.00 Prover 3: Warning: ignoring some quantifiers
% 9.04/2.03 Prover 3: Constructing countermodel ...
% 10.50/2.18 Prover 2: Proving ...
% 12.58/2.45 Prover 4: Warning: ignoring some quantifiers
% 12.58/2.50 Prover 4: Constructing countermodel ...
% 13.24/2.51 Prover 3: gave up
% 13.24/2.53 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 13.74/2.60 Prover 7: Preprocessing ...
% 14.52/2.70 Prover 0: Proving ...
% 15.61/2.86 Prover 7: Warning: ignoring some quantifiers
% 15.83/2.90 Prover 7: Constructing countermodel ...
% 24.69/4.07 Prover 7: Found proof (size 70)
% 24.69/4.07 Prover 7: proved (1545ms)
% 24.69/4.08 Prover 1: stopped
% 24.69/4.08 Prover 4: stopped
% 24.69/4.08 Prover 6: stopped
% 24.69/4.08 Prover 5: stopped
% 24.69/4.08 Prover 2: stopped
% 24.69/4.08 Prover 0: stopped
% 24.69/4.08
% 24.69/4.08 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.69/4.08
% 24.69/4.09 % SZS output start Proof for theBenchmark
% 24.69/4.09 Assumptions after simplification:
% 24.69/4.09 ---------------------------------
% 24.69/4.09
% 24.69/4.09 (d4_isocat_1)
% 24.69/4.10 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 24.69/4.10 ~ v8_cat_1(v2, v0, v1) | ~ m2_cat_1(v2, v0, v1) | ~ l1_cat_1(v1) | ~
% 24.69/4.10 l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | r1_isocat_1(v0, v1)) & !
% 24.69/4.10 [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ r1_isocat_1(v0, v1) | ~
% 24.69/4.10 l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v2:
% 24.69/4.10 $i] : ($i(v2) & v8_cat_1(v2, v0, v1) & m2_cat_1(v2, v0, v1)))
% 24.69/4.10
% 24.69/4.10 (dt_k11_cat_2)
% 24.69/4.12 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k11_cat_2(v0, v1) = v2) | ~
% 24.69/4.12 $i(v1) | ~ $i(v0) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) |
% 24.69/4.13 ~ v2_cat_1(v0) | l1_cat_1(v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (
% 24.69/4.13 ~ (k11_cat_2(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ~ l1_cat_1(v1) | ~
% 24.69/4.13 l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | v2_cat_1(v2))
% 24.69/4.13
% 24.69/4.13 (dt_k12_nattra_1)
% 24.69/4.13 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k12_nattra_1(v0, v1) = v2) | ~
% 24.69/4.13 $i(v1) | ~ $i(v0) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) |
% 24.69/4.13 ~ v2_cat_1(v0) | v1_cat_1(v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (
% 24.69/4.13 ~ (k12_nattra_1(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ~ l1_cat_1(v1) | ~
% 24.69/4.13 l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | l1_cat_1(v2)) & ! [v0:
% 24.69/4.13 $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k12_nattra_1(v0, v1) = v2) | ~
% 24.69/4.13 $i(v1) | ~ $i(v0) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) |
% 24.69/4.13 ~ v2_cat_1(v0) | v2_cat_1(v2))
% 24.69/4.13
% 24.69/4.13 (dt_k7_isocat_2)
% 24.69/4.13 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 24.69/4.13 (k12_nattra_1(v3, v2) = v4) | ~ (k11_cat_2(v0, v1) = v3) | ~ $i(v2) | ~
% 24.69/4.13 $i(v1) | ~ $i(v0) | ~ l1_cat_1(v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) |
% 24.69/4.13 ~ v2_cat_1(v2) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v5: $i] : ? [v6:
% 24.69/4.13 $i] : ? [v7: $i] : (k7_isocat_2(v0, v1, v2) = v5 & k12_nattra_1(v1, v2) =
% 24.69/4.13 v6 & k12_nattra_1(v0, v6) = v7 & $i(v7) & $i(v6) & $i(v5) & m2_cat_1(v5,
% 24.69/4.13 v4, v7))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : !
% 24.69/4.13 [v4: $i] : ( ~ (k12_nattra_1(v1, v2) = v3) | ~ (k12_nattra_1(v0, v3) = v4) |
% 24.69/4.13 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ l1_cat_1(v2) | ~ l1_cat_1(v1) | ~
% 24.69/4.13 l1_cat_1(v0) | ~ v2_cat_1(v2) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v5:
% 24.69/4.13 $i] : ? [v6: $i] : ? [v7: $i] : (k7_isocat_2(v0, v1, v2) = v5 &
% 24.69/4.13 k12_nattra_1(v6, v2) = v7 & k11_cat_2(v0, v1) = v6 & $i(v7) & $i(v6) &
% 24.69/4.13 $i(v5) & m2_cat_1(v5, v7, v4))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 24.69/4.13 : ! [v3: $i] : ( ~ (k7_isocat_2(v0, v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) |
% 24.69/4.13 ~ $i(v0) | ~ l1_cat_1(v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~
% 24.69/4.13 v2_cat_1(v2) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v4: $i] : ? [v5: $i]
% 24.69/4.13 : ? [v6: $i] : ? [v7: $i] : (k12_nattra_1(v4, v2) = v5 & k12_nattra_1(v1,
% 24.69/4.13 v2) = v6 & k12_nattra_1(v0, v6) = v7 & k11_cat_2(v0, v1) = v4 & $i(v7) &
% 24.69/4.13 $i(v6) & $i(v5) & $i(v4) & m2_cat_1(v3, v5, v7)))
% 24.69/4.13
% 24.69/4.13 (t33_isocat_2)
% 24.69/4.14 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 24.69/4.14 (k7_isocat_2(v0, v1, v3) = v4) | ~ (k11_cat_2(v0, v1) = v2) | ~ $i(v3) |
% 24.69/4.14 ~ $i(v1) | ~ $i(v0) | ~ l1_cat_1(v3) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) |
% 24.69/4.14 ~ v2_cat_1(v3) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v5: $i] : ? [v6:
% 24.69/4.14 $i] : ? [v7: $i] : (k12_nattra_1(v2, v3) = v5 & k12_nattra_1(v1, v3) = v6
% 24.69/4.14 & k12_nattra_1(v0, v6) = v7 & $i(v7) & $i(v6) & $i(v5) & v8_cat_1(v4, v5,
% 24.69/4.14 v7))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4:
% 24.69/4.14 $i] : ( ~ (k12_nattra_1(v2, v3) = v4) | ~ (k11_cat_2(v0, v1) = v2) | ~
% 24.69/4.14 $i(v3) | ~ $i(v1) | ~ $i(v0) | ~ l1_cat_1(v3) | ~ l1_cat_1(v1) | ~
% 24.69/4.14 l1_cat_1(v0) | ~ v2_cat_1(v3) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v5:
% 24.69/4.14 $i] : ? [v6: $i] : ? [v7: $i] : (k7_isocat_2(v0, v1, v3) = v5 &
% 24.69/4.14 k12_nattra_1(v1, v3) = v6 & k12_nattra_1(v0, v6) = v7 & $i(v7) & $i(v6) &
% 24.69/4.14 $i(v5) & v8_cat_1(v5, v4, v7))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 24.69/4.14 : ! [v3: $i] : ! [v4: $i] : ( ~ (k12_nattra_1(v1, v3) = v4) | ~
% 24.69/4.14 (k11_cat_2(v0, v1) = v2) | ~ $i(v3) | ~ $i(v1) | ~ $i(v0) | ~
% 24.69/4.14 l1_cat_1(v3) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v3) | ~
% 24.69/4.14 v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 24.69/4.14 (k7_isocat_2(v0, v1, v3) = v5 & k12_nattra_1(v2, v3) = v6 & k12_nattra_1(v0,
% 24.69/4.14 v4) = v7 & $i(v7) & $i(v6) & $i(v5) & v8_cat_1(v5, v6, v7)))
% 24.69/4.14
% 24.69/4.14 (t34_isocat_2)
% 24.69/4.14 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5:
% 24.69/4.14 $i] : ? [v6: $i] : (k12_nattra_1(v2, v3) = v4 & k12_nattra_1(v1, v3) = v5 &
% 24.69/4.14 k12_nattra_1(v0, v5) = v6 & k11_cat_2(v0, v1) = v2 & $i(v6) & $i(v5) &
% 24.69/4.14 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & l1_cat_1(v3) & l1_cat_1(v1) &
% 24.69/4.14 l1_cat_1(v0) & v2_cat_1(v3) & v2_cat_1(v1) & v2_cat_1(v0) & ~
% 24.69/4.14 r1_isocat_1(v4, v6))
% 24.69/4.14
% 24.69/4.14 (function-axioms)
% 24.69/4.14 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 24.69/4.14 $i] : ! [v6: $i] : ! [v7: $i] : (v1 = v0 | ~ (g1_cat_1(v7, v6, v5, v4,
% 24.69/4.14 v3, v2) = v1) | ~ (g1_cat_1(v7, v6, v5, v4, v3, v2) = v0)) & ! [v0:
% 24.69/4.14 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 24.69/4.14 (k7_isocat_2(v4, v3, v2) = v1) | ~ (k7_isocat_2(v4, v3, v2) = v0)) & !
% 24.69/4.14 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 24.69/4.14 (k12_nattra_1(v3, v2) = v1) | ~ (k12_nattra_1(v3, v2) = v0)) & ! [v0: $i]
% 24.69/4.14 : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (k11_cat_2(v3, v2) =
% 24.69/4.14 v1) | ~ (k11_cat_2(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 24.69/4.14 $i] : ! [v3: $i] : (v1 = v0 | ~ (k2_zfmisc_1(v3, v2) = v1) | ~
% 24.69/4.14 (k2_zfmisc_1(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1
% 24.69/4.14 = v0 | ~ (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0)) & ! [v0: $i]
% 24.69/4.14 : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (u6_cat_1(v2) = v1) | ~
% 24.69/4.14 (u6_cat_1(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 |
% 24.69/4.14 ~ (u1_cat_1(v2) = v1) | ~ (u1_cat_1(v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 24.69/4.14 : ! [v2: $i] : (v1 = v0 | ~ (u2_cat_1(v2) = v1) | ~ (u2_cat_1(v2) = v0)) &
% 24.69/4.14 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (u3_cat_1(v2) = v1) |
% 24.69/4.14 ~ (u3_cat_1(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0
% 24.69/4.14 | ~ (u4_cat_1(v2) = v1) | ~ (u4_cat_1(v2) = v0)) & ! [v0: $i] : ! [v1:
% 24.69/4.14 $i] : ! [v2: $i] : (v1 = v0 | ~ (u5_cat_1(v2) = v1) | ~ (u5_cat_1(v2) =
% 24.69/4.14 v0))
% 24.69/4.14
% 24.69/4.14 Further assumptions not needed in the proof:
% 24.69/4.14 --------------------------------------------
% 24.69/4.14 abstractness_v1_cat_1, antisymmetry_r2_hidden, cc1_relset_1, dt_g1_cat_1,
% 24.69/4.14 dt_k1_xboole_0, dt_k1_zfmisc_1, dt_k2_zfmisc_1, dt_l1_cat_1, dt_m1_relset_1,
% 24.69/4.14 dt_m1_subset_1, dt_m2_cat_1, dt_m2_relset_1, dt_u1_cat_1, dt_u2_cat_1,
% 24.69/4.14 dt_u3_cat_1, dt_u4_cat_1, dt_u5_cat_1, dt_u6_cat_1, existence_l1_cat_1,
% 24.69/4.14 existence_m1_relset_1, existence_m1_subset_1, existence_m2_cat_1,
% 24.69/4.14 existence_m2_relset_1, fc1_subset_1, fc1_xboole_0, fc4_subset_1, free_g1_cat_1,
% 24.69/4.14 rc1_subset_1, rc1_xboole_0, rc2_subset_1, rc2_xboole_0,
% 24.69/4.14 redefinition_m2_relset_1, reflexivity_r1_isocat_1, reflexivity_r1_tarski,
% 24.69/4.14 symmetry_r1_isocat_1, t1_subset, t2_subset, t3_subset, t4_subset, t5_subset,
% 24.69/4.14 t6_boole, t7_boole, t8_boole
% 24.69/4.14
% 24.69/4.14 Those formulas are unsatisfiable:
% 24.69/4.14 ---------------------------------
% 24.69/4.14
% 24.69/4.14 Begin of proof
% 24.69/4.14 |
% 24.69/4.14 | ALPHA: (d4_isocat_1) implies:
% 24.69/4.14 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~
% 24.69/4.14 | $i(v0) | ~ v8_cat_1(v2, v0, v1) | ~ m2_cat_1(v2, v0, v1) | ~
% 24.69/4.14 | l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) |
% 24.69/4.14 | r1_isocat_1(v0, v1))
% 24.69/4.14 |
% 24.69/4.14 | ALPHA: (dt_k11_cat_2) implies:
% 24.69/4.15 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k11_cat_2(v0, v1) = v2)
% 24.69/4.15 | | ~ $i(v1) | ~ $i(v0) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~
% 24.69/4.15 | v2_cat_1(v1) | ~ v2_cat_1(v0) | v2_cat_1(v2))
% 24.69/4.15 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k11_cat_2(v0, v1) = v2)
% 24.69/4.15 | | ~ $i(v1) | ~ $i(v0) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~
% 24.69/4.15 | v2_cat_1(v1) | ~ v2_cat_1(v0) | l1_cat_1(v2))
% 24.69/4.15 |
% 24.69/4.15 | ALPHA: (dt_k12_nattra_1) implies:
% 24.69/4.15 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k12_nattra_1(v0, v1) =
% 24.69/4.15 | v2) | ~ $i(v1) | ~ $i(v0) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) |
% 24.69/4.15 | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | v2_cat_1(v2))
% 24.69/4.15 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k12_nattra_1(v0, v1) =
% 24.69/4.15 | v2) | ~ $i(v1) | ~ $i(v0) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) |
% 24.69/4.15 | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | l1_cat_1(v2))
% 24.69/4.15 |
% 24.69/4.15 | ALPHA: (dt_k7_isocat_2) implies:
% 24.69/4.15 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (
% 24.69/4.15 | ~ (k12_nattra_1(v1, v2) = v3) | ~ (k12_nattra_1(v0, v3) = v4) | ~
% 24.69/4.15 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ l1_cat_1(v2) | ~ l1_cat_1(v1) |
% 24.69/4.15 | ~ l1_cat_1(v0) | ~ v2_cat_1(v2) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0)
% 24.69/4.15 | | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : (k7_isocat_2(v0, v1, v2)
% 24.69/4.15 | = v5 & k12_nattra_1(v6, v2) = v7 & k11_cat_2(v0, v1) = v6 & $i(v7)
% 24.69/4.15 | & $i(v6) & $i(v5) & m2_cat_1(v5, v7, v4)))
% 24.69/4.15 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (
% 24.69/4.15 | ~ (k12_nattra_1(v3, v2) = v4) | ~ (k11_cat_2(v0, v1) = v3) | ~
% 24.69/4.15 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ l1_cat_1(v2) | ~ l1_cat_1(v1) |
% 24.69/4.15 | ~ l1_cat_1(v0) | ~ v2_cat_1(v2) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0)
% 24.69/4.15 | | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : (k7_isocat_2(v0, v1, v2)
% 24.69/4.15 | = v5 & k12_nattra_1(v1, v2) = v6 & k12_nattra_1(v0, v6) = v7 &
% 24.69/4.15 | $i(v7) & $i(v6) & $i(v5) & m2_cat_1(v5, v4, v7)))
% 24.69/4.15 |
% 24.69/4.15 | ALPHA: (t33_isocat_2) implies:
% 24.69/4.15 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (
% 24.69/4.15 | ~ (k12_nattra_1(v1, v3) = v4) | ~ (k11_cat_2(v0, v1) = v2) | ~
% 24.69/4.15 | $i(v3) | ~ $i(v1) | ~ $i(v0) | ~ l1_cat_1(v3) | ~ l1_cat_1(v1) |
% 24.69/4.15 | ~ l1_cat_1(v0) | ~ v2_cat_1(v3) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0)
% 24.69/4.15 | | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : (k7_isocat_2(v0, v1, v3)
% 24.69/4.15 | = v5 & k12_nattra_1(v2, v3) = v6 & k12_nattra_1(v0, v4) = v7 &
% 24.69/4.15 | $i(v7) & $i(v6) & $i(v5) & v8_cat_1(v5, v6, v7)))
% 24.69/4.15 | (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (
% 24.69/4.15 | ~ (k12_nattra_1(v2, v3) = v4) | ~ (k11_cat_2(v0, v1) = v2) | ~
% 24.69/4.15 | $i(v3) | ~ $i(v1) | ~ $i(v0) | ~ l1_cat_1(v3) | ~ l1_cat_1(v1) |
% 24.69/4.15 | ~ l1_cat_1(v0) | ~ v2_cat_1(v3) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0)
% 24.69/4.15 | | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : (k7_isocat_2(v0, v1, v3)
% 24.69/4.15 | = v5 & k12_nattra_1(v1, v3) = v6 & k12_nattra_1(v0, v6) = v7 &
% 24.69/4.15 | $i(v7) & $i(v6) & $i(v5) & v8_cat_1(v5, v4, v7)))
% 24.69/4.15 |
% 24.69/4.15 | ALPHA: (function-axioms) implies:
% 24.69/4.15 | (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 24.69/4.15 | (k11_cat_2(v3, v2) = v1) | ~ (k11_cat_2(v3, v2) = v0))
% 24.69/4.15 | (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 24.69/4.15 | (k12_nattra_1(v3, v2) = v1) | ~ (k12_nattra_1(v3, v2) = v0))
% 24.69/4.15 | (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 24.69/4.15 | (v1 = v0 | ~ (k7_isocat_2(v4, v3, v2) = v1) | ~ (k7_isocat_2(v4, v3,
% 24.69/4.15 | v2) = v0))
% 24.69/4.15 |
% 24.69/4.16 | DELTA: instantiating (t34_isocat_2) with fresh symbols all_48_0, all_48_1,
% 24.69/4.16 | all_48_2, all_48_3, all_48_4, all_48_5, all_48_6 gives:
% 24.69/4.16 | (13) k12_nattra_1(all_48_4, all_48_3) = all_48_2 & k12_nattra_1(all_48_5,
% 24.69/4.16 | all_48_3) = all_48_1 & k12_nattra_1(all_48_6, all_48_1) = all_48_0 &
% 24.69/4.16 | k11_cat_2(all_48_6, all_48_5) = all_48_4 & $i(all_48_0) & $i(all_48_1)
% 24.69/4.16 | & $i(all_48_2) & $i(all_48_3) & $i(all_48_4) & $i(all_48_5) &
% 24.69/4.16 | $i(all_48_6) & l1_cat_1(all_48_3) & l1_cat_1(all_48_5) &
% 24.69/4.16 | l1_cat_1(all_48_6) & v2_cat_1(all_48_3) & v2_cat_1(all_48_5) &
% 24.69/4.16 | v2_cat_1(all_48_6) & ~ r1_isocat_1(all_48_2, all_48_0)
% 24.69/4.16 |
% 24.69/4.16 | ALPHA: (13) implies:
% 24.69/4.16 | (14) ~ r1_isocat_1(all_48_2, all_48_0)
% 24.69/4.16 | (15) v2_cat_1(all_48_6)
% 24.69/4.16 | (16) v2_cat_1(all_48_5)
% 24.69/4.16 | (17) v2_cat_1(all_48_3)
% 24.69/4.16 | (18) l1_cat_1(all_48_6)
% 24.69/4.16 | (19) l1_cat_1(all_48_5)
% 24.69/4.16 | (20) l1_cat_1(all_48_3)
% 24.69/4.16 | (21) $i(all_48_6)
% 24.69/4.16 | (22) $i(all_48_5)
% 24.69/4.16 | (23) $i(all_48_3)
% 24.69/4.16 | (24) k11_cat_2(all_48_6, all_48_5) = all_48_4
% 24.69/4.16 | (25) k12_nattra_1(all_48_6, all_48_1) = all_48_0
% 24.69/4.16 | (26) k12_nattra_1(all_48_5, all_48_3) = all_48_1
% 24.69/4.16 | (27) k12_nattra_1(all_48_4, all_48_3) = all_48_2
% 24.69/4.16 |
% 24.69/4.16 | GROUND_INST: instantiating (3) with all_48_6, all_48_5, all_48_4, simplifying
% 24.69/4.16 | with (15), (16), (18), (19), (21), (22), (24) gives:
% 24.69/4.16 | (28) l1_cat_1(all_48_4)
% 24.69/4.16 |
% 24.69/4.16 | GROUND_INST: instantiating (2) with all_48_6, all_48_5, all_48_4, simplifying
% 24.69/4.16 | with (15), (16), (18), (19), (21), (22), (24) gives:
% 24.69/4.16 | (29) v2_cat_1(all_48_4)
% 24.69/4.16 |
% 24.69/4.16 | GROUND_INST: instantiating (8) with all_48_6, all_48_5, all_48_4, all_48_3,
% 24.69/4.16 | all_48_1, simplifying with (15), (16), (17), (18), (19), (20),
% 24.69/4.16 | (21), (22), (23), (24), (26) gives:
% 24.69/4.16 | (30) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (k7_isocat_2(all_48_6,
% 24.69/4.16 | all_48_5, all_48_3) = v0 & k12_nattra_1(all_48_4, all_48_3) = v1 &
% 24.69/4.16 | k12_nattra_1(all_48_6, all_48_1) = v2 & $i(v2) & $i(v1) & $i(v0) &
% 24.69/4.16 | v8_cat_1(v0, v1, v2))
% 24.69/4.16 |
% 24.69/4.16 | GROUND_INST: instantiating (6) with all_48_6, all_48_5, all_48_3, all_48_1,
% 24.69/4.16 | all_48_0, simplifying with (15), (16), (17), (18), (19), (20),
% 24.69/4.16 | (21), (22), (23), (25), (26) gives:
% 24.69/4.16 | (31) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (k7_isocat_2(all_48_6,
% 24.69/4.16 | all_48_5, all_48_3) = v0 & k12_nattra_1(v1, all_48_3) = v2 &
% 24.69/4.16 | k11_cat_2(all_48_6, all_48_5) = v1 & $i(v2) & $i(v1) & $i(v0) &
% 24.69/4.16 | m2_cat_1(v0, v2, all_48_0))
% 24.69/4.16 |
% 24.69/4.16 | GROUND_INST: instantiating (5) with all_48_5, all_48_3, all_48_1, simplifying
% 24.69/4.16 | with (16), (17), (19), (20), (22), (23), (26) gives:
% 24.69/4.16 | (32) l1_cat_1(all_48_1)
% 24.69/4.16 |
% 24.69/4.16 | GROUND_INST: instantiating (4) with all_48_5, all_48_3, all_48_1, simplifying
% 24.69/4.16 | with (16), (17), (19), (20), (22), (23), (26) gives:
% 24.69/4.16 | (33) v2_cat_1(all_48_1)
% 24.69/4.16 |
% 24.69/4.16 | GROUND_INST: instantiating (7) with all_48_6, all_48_5, all_48_3, all_48_4,
% 24.69/4.16 | all_48_2, simplifying with (15), (16), (17), (18), (19), (20),
% 24.69/4.16 | (21), (22), (23), (24), (27) gives:
% 24.69/4.17 | (34) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (k7_isocat_2(all_48_6,
% 24.69/4.17 | all_48_5, all_48_3) = v0 & k12_nattra_1(all_48_5, all_48_3) = v1 &
% 24.69/4.17 | k12_nattra_1(all_48_6, v1) = v2 & $i(v2) & $i(v1) & $i(v0) &
% 24.69/4.17 | m2_cat_1(v0, all_48_2, v2))
% 24.69/4.17 |
% 24.69/4.17 | GROUND_INST: instantiating (9) with all_48_6, all_48_5, all_48_4, all_48_3,
% 24.69/4.17 | all_48_2, simplifying with (15), (16), (17), (18), (19), (20),
% 24.69/4.17 | (21), (22), (23), (24), (27) gives:
% 24.69/4.17 | (35) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (k7_isocat_2(all_48_6,
% 24.69/4.17 | all_48_5, all_48_3) = v0 & k12_nattra_1(all_48_5, all_48_3) = v1 &
% 24.69/4.17 | k12_nattra_1(all_48_6, v1) = v2 & $i(v2) & $i(v1) & $i(v0) &
% 24.69/4.17 | v8_cat_1(v0, all_48_2, v2))
% 24.69/4.17 |
% 24.69/4.17 | DELTA: instantiating (35) with fresh symbols all_78_0, all_78_1, all_78_2
% 24.69/4.17 | gives:
% 24.69/4.17 | (36) k7_isocat_2(all_48_6, all_48_5, all_48_3) = all_78_2 &
% 24.69/4.17 | k12_nattra_1(all_48_5, all_48_3) = all_78_1 & k12_nattra_1(all_48_6,
% 24.69/4.17 | all_78_1) = all_78_0 & $i(all_78_0) & $i(all_78_1) & $i(all_78_2) &
% 24.69/4.17 | v8_cat_1(all_78_2, all_48_2, all_78_0)
% 24.69/4.17 |
% 24.69/4.17 | ALPHA: (36) implies:
% 24.69/4.17 | (37) v8_cat_1(all_78_2, all_48_2, all_78_0)
% 24.69/4.17 | (38) $i(all_78_1)
% 24.69/4.17 | (39) k12_nattra_1(all_48_6, all_78_1) = all_78_0
% 24.69/4.17 | (40) k12_nattra_1(all_48_5, all_48_3) = all_78_1
% 24.69/4.17 | (41) k7_isocat_2(all_48_6, all_48_5, all_48_3) = all_78_2
% 24.69/4.17 |
% 24.69/4.17 | DELTA: instantiating (31) with fresh symbols all_80_0, all_80_1, all_80_2
% 24.69/4.17 | gives:
% 24.69/4.17 | (42) k7_isocat_2(all_48_6, all_48_5, all_48_3) = all_80_2 &
% 24.69/4.17 | k12_nattra_1(all_80_1, all_48_3) = all_80_0 & k11_cat_2(all_48_6,
% 24.69/4.17 | all_48_5) = all_80_1 & $i(all_80_0) & $i(all_80_1) & $i(all_80_2) &
% 24.69/4.17 | m2_cat_1(all_80_2, all_80_0, all_48_0)
% 24.69/4.17 |
% 24.69/4.17 | ALPHA: (42) implies:
% 24.69/4.17 | (43) $i(all_80_2)
% 24.69/4.17 | (44) $i(all_80_1)
% 24.69/4.17 | (45) k11_cat_2(all_48_6, all_48_5) = all_80_1
% 24.69/4.17 | (46) k7_isocat_2(all_48_6, all_48_5, all_48_3) = all_80_2
% 24.69/4.17 |
% 24.69/4.17 | DELTA: instantiating (34) with fresh symbols all_82_0, all_82_1, all_82_2
% 24.69/4.17 | gives:
% 24.69/4.17 | (47) k7_isocat_2(all_48_6, all_48_5, all_48_3) = all_82_2 &
% 24.69/4.17 | k12_nattra_1(all_48_5, all_48_3) = all_82_1 & k12_nattra_1(all_48_6,
% 24.69/4.17 | all_82_1) = all_82_0 & $i(all_82_0) & $i(all_82_1) & $i(all_82_2) &
% 24.69/4.17 | m2_cat_1(all_82_2, all_48_2, all_82_0)
% 24.69/4.17 |
% 24.69/4.17 | ALPHA: (47) implies:
% 24.69/4.17 | (48) m2_cat_1(all_82_2, all_48_2, all_82_0)
% 24.69/4.17 | (49) $i(all_82_0)
% 24.69/4.17 | (50) k12_nattra_1(all_48_6, all_82_1) = all_82_0
% 24.69/4.17 | (51) k12_nattra_1(all_48_5, all_48_3) = all_82_1
% 24.69/4.17 | (52) k7_isocat_2(all_48_6, all_48_5, all_48_3) = all_82_2
% 24.69/4.17 |
% 24.69/4.17 | DELTA: instantiating (30) with fresh symbols all_84_0, all_84_1, all_84_2
% 24.69/4.17 | gives:
% 24.69/4.17 | (53) k7_isocat_2(all_48_6, all_48_5, all_48_3) = all_84_2 &
% 24.69/4.17 | k12_nattra_1(all_48_4, all_48_3) = all_84_1 & k12_nattra_1(all_48_6,
% 24.69/4.17 | all_48_1) = all_84_0 & $i(all_84_0) & $i(all_84_1) & $i(all_84_2) &
% 24.69/4.17 | v8_cat_1(all_84_2, all_84_1, all_84_0)
% 24.69/4.17 |
% 24.69/4.17 | ALPHA: (53) implies:
% 24.69/4.17 | (54) $i(all_84_1)
% 24.69/4.17 | (55) k12_nattra_1(all_48_6, all_48_1) = all_84_0
% 24.69/4.17 | (56) k12_nattra_1(all_48_4, all_48_3) = all_84_1
% 24.69/4.17 | (57) k7_isocat_2(all_48_6, all_48_5, all_48_3) = all_84_2
% 24.69/4.17 |
% 24.69/4.17 | GROUND_INST: instantiating (10) with all_48_4, all_80_1, all_48_5, all_48_6,
% 24.69/4.17 | simplifying with (24), (45) gives:
% 24.69/4.17 | (58) all_80_1 = all_48_4
% 24.69/4.17 |
% 24.69/4.17 | GROUND_INST: instantiating (11) with all_48_0, all_84_0, all_48_1, all_48_6,
% 24.69/4.17 | simplifying with (25), (55) gives:
% 24.69/4.17 | (59) all_84_0 = all_48_0
% 24.69/4.17 |
% 24.69/4.17 | GROUND_INST: instantiating (11) with all_84_0, all_78_0, all_48_1, all_48_6,
% 24.69/4.17 | simplifying with (55) gives:
% 24.69/4.17 | (60) all_84_0 = all_78_0 | ~ (k12_nattra_1(all_48_6, all_48_1) = all_78_0)
% 24.69/4.17 |
% 24.69/4.17 | GROUND_INST: instantiating (11) with all_78_0, all_82_0, all_78_1, all_48_6,
% 24.69/4.17 | simplifying with (39) gives:
% 24.69/4.17 | (61) all_82_0 = all_78_0 | ~ (k12_nattra_1(all_48_6, all_78_1) = all_82_0)
% 24.69/4.18 |
% 24.69/4.18 | GROUND_INST: instantiating (11) with all_48_1, all_82_1, all_48_3, all_48_5,
% 24.69/4.18 | simplifying with (26), (51) gives:
% 24.69/4.18 | (62) all_82_1 = all_48_1
% 24.69/4.18 |
% 24.69/4.18 | GROUND_INST: instantiating (11) with all_78_1, all_82_1, all_48_3, all_48_5,
% 24.69/4.18 | simplifying with (40), (51) gives:
% 24.69/4.18 | (63) all_82_1 = all_78_1
% 24.69/4.18 |
% 24.69/4.18 | GROUND_INST: instantiating (11) with all_48_2, all_84_1, all_48_3, all_48_4,
% 24.69/4.18 | simplifying with (27), (56) gives:
% 24.69/4.18 | (64) all_84_1 = all_48_2
% 24.69/4.18 |
% 24.69/4.18 | GROUND_INST: instantiating (12) with all_80_2, all_82_2, all_48_3, all_48_5,
% 24.69/4.18 | all_48_6, simplifying with (46), (52) gives:
% 24.69/4.18 | (65) all_82_2 = all_80_2
% 24.69/4.18 |
% 24.69/4.18 | GROUND_INST: instantiating (12) with all_82_2, all_84_2, all_48_3, all_48_5,
% 24.69/4.18 | all_48_6, simplifying with (52), (57) gives:
% 24.69/4.18 | (66) all_84_2 = all_82_2
% 24.69/4.18 |
% 24.69/4.18 | GROUND_INST: instantiating (12) with all_78_2, all_84_2, all_48_3, all_48_5,
% 24.69/4.18 | all_48_6, simplifying with (41), (57) gives:
% 24.69/4.18 | (67) all_84_2 = all_78_2
% 24.69/4.18 |
% 24.69/4.18 | COMBINE_EQS: (66), (67) imply:
% 24.69/4.18 | (68) all_82_2 = all_78_2
% 24.69/4.18 |
% 24.69/4.18 | SIMP: (68) implies:
% 24.69/4.18 | (69) all_82_2 = all_78_2
% 24.69/4.18 |
% 24.69/4.18 | COMBINE_EQS: (62), (63) imply:
% 24.69/4.18 | (70) all_78_1 = all_48_1
% 24.69/4.18 |
% 24.69/4.18 | COMBINE_EQS: (65), (69) imply:
% 24.69/4.18 | (71) all_80_2 = all_78_2
% 24.69/4.18 |
% 24.69/4.18 | REDUCE: (50), (62) imply:
% 24.69/4.18 | (72) k12_nattra_1(all_48_6, all_48_1) = all_82_0
% 24.69/4.18 |
% 24.69/4.18 | REDUCE: (54), (64) imply:
% 24.69/4.18 | (73) $i(all_48_2)
% 24.69/4.18 |
% 24.69/4.18 | REDUCE: (44), (58) imply:
% 24.69/4.18 | (74) $i(all_48_4)
% 24.69/4.18 |
% 24.69/4.18 | REDUCE: (43), (71) imply:
% 24.69/4.18 | (75) $i(all_78_2)
% 24.69/4.18 |
% 24.69/4.18 | REDUCE: (38), (70) imply:
% 24.69/4.18 | (76) $i(all_48_1)
% 24.69/4.18 |
% 24.69/4.18 | REDUCE: (48), (69) imply:
% 24.69/4.18 | (77) m2_cat_1(all_78_2, all_48_2, all_82_0)
% 24.69/4.18 |
% 24.69/4.18 | BETA: splitting (61) gives:
% 24.69/4.18 |
% 24.69/4.18 | Case 1:
% 24.69/4.18 | |
% 24.69/4.18 | | (78) ~ (k12_nattra_1(all_48_6, all_78_1) = all_82_0)
% 24.69/4.18 | |
% 24.69/4.18 | | REDUCE: (70), (78) imply:
% 24.69/4.18 | | (79) ~ (k12_nattra_1(all_48_6, all_48_1) = all_82_0)
% 24.69/4.18 | |
% 24.69/4.18 | | PRED_UNIFY: (72), (79) imply:
% 24.69/4.18 | | (80) $false
% 24.69/4.18 | |
% 24.69/4.18 | | CLOSE: (80) is inconsistent.
% 24.69/4.18 | |
% 24.69/4.18 | Case 2:
% 24.69/4.18 | |
% 24.69/4.18 | | (81) all_82_0 = all_78_0
% 24.69/4.18 | |
% 24.69/4.18 | | REDUCE: (72), (81) imply:
% 24.69/4.18 | | (82) k12_nattra_1(all_48_6, all_48_1) = all_78_0
% 24.69/4.18 | |
% 24.69/4.18 | | REDUCE: (49), (81) imply:
% 24.69/4.18 | | (83) $i(all_78_0)
% 24.69/4.18 | |
% 24.69/4.18 | | REDUCE: (77), (81) imply:
% 24.69/4.18 | | (84) m2_cat_1(all_78_2, all_48_2, all_78_0)
% 24.69/4.18 | |
% 24.69/4.18 | | BETA: splitting (60) gives:
% 24.69/4.18 | |
% 24.69/4.18 | | Case 1:
% 24.69/4.18 | | |
% 24.69/4.18 | | | (85) ~ (k12_nattra_1(all_48_6, all_48_1) = all_78_0)
% 24.69/4.18 | | |
% 24.69/4.18 | | | PRED_UNIFY: (82), (85) imply:
% 24.69/4.18 | | | (86) $false
% 24.69/4.18 | | |
% 24.69/4.18 | | | CLOSE: (86) is inconsistent.
% 24.69/4.18 | | |
% 24.69/4.18 | | Case 2:
% 24.69/4.18 | | |
% 24.69/4.18 | | | (87) all_84_0 = all_78_0
% 24.69/4.18 | | |
% 24.69/4.18 | | | COMBINE_EQS: (59), (87) imply:
% 24.69/4.18 | | | (88) all_78_0 = all_48_0
% 24.69/4.18 | | |
% 24.69/4.18 | | | SIMP: (88) implies:
% 24.69/4.18 | | | (89) all_78_0 = all_48_0
% 24.69/4.18 | | |
% 24.69/4.18 | | | REDUCE: (83), (89) imply:
% 24.69/4.18 | | | (90) $i(all_48_0)
% 24.69/4.18 | | |
% 24.69/4.18 | | | REDUCE: (37), (89) imply:
% 24.69/4.18 | | | (91) v8_cat_1(all_78_2, all_48_2, all_48_0)
% 24.69/4.18 | | |
% 24.69/4.18 | | | REDUCE: (84), (89) imply:
% 24.69/4.18 | | | (92) m2_cat_1(all_78_2, all_48_2, all_48_0)
% 24.69/4.18 | | |
% 24.69/4.18 | | | GROUND_INST: instantiating (5) with all_48_4, all_48_3, all_48_2,
% 24.69/4.18 | | | simplifying with (17), (20), (23), (27), (28), (29), (74)
% 24.69/4.18 | | | gives:
% 24.69/4.18 | | | (93) l1_cat_1(all_48_2)
% 24.69/4.18 | | |
% 24.69/4.19 | | | GROUND_INST: instantiating (4) with all_48_4, all_48_3, all_48_2,
% 24.69/4.19 | | | simplifying with (17), (20), (23), (27), (28), (29), (74)
% 24.69/4.19 | | | gives:
% 24.69/4.19 | | | (94) v2_cat_1(all_48_2)
% 24.69/4.19 | | |
% 24.69/4.19 | | | GROUND_INST: instantiating (5) with all_48_6, all_48_1, all_48_0,
% 24.69/4.19 | | | simplifying with (15), (18), (21), (25), (32), (33), (76)
% 24.69/4.19 | | | gives:
% 24.69/4.19 | | | (95) l1_cat_1(all_48_0)
% 24.69/4.19 | | |
% 24.69/4.19 | | | GROUND_INST: instantiating (4) with all_48_6, all_48_1, all_48_0,
% 24.69/4.19 | | | simplifying with (15), (18), (21), (25), (32), (33), (76)
% 24.69/4.19 | | | gives:
% 24.69/4.19 | | | (96) v2_cat_1(all_48_0)
% 24.69/4.19 | | |
% 24.69/4.19 | | | GROUND_INST: instantiating (1) with all_48_2, all_48_0, all_78_2,
% 24.69/4.19 | | | simplifying with (14), (73), (75), (90), (91), (92), (93),
% 24.69/4.19 | | | (94), (95), (96) gives:
% 24.69/4.19 | | | (97) $false
% 24.69/4.19 | | |
% 24.69/4.19 | | | CLOSE: (97) is inconsistent.
% 24.69/4.19 | | |
% 24.69/4.19 | | End of split
% 24.69/4.19 | |
% 24.69/4.19 | End of split
% 24.69/4.19 |
% 24.69/4.19 End of proof
% 24.69/4.19 % SZS output end Proof for theBenchmark
% 24.69/4.19
% 24.69/4.19 3559ms
%------------------------------------------------------------------------------