TSTP Solution File: GRP643+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : GRP643+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 : n018.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 01:12:47 EDT 2023
% Result : Theorem 12.19s 2.85s
% Output : Proof 18.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GRP643+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.32 % Computer : n018.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 : Mon Aug 28 22:28:17 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.17/0.58 ________ _____
% 0.17/0.58 ___ __ \_________(_)________________________________
% 0.17/0.58 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.17/0.58 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.17/0.58 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.17/0.58
% 0.17/0.58 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.17/0.58 (2023-06-19)
% 0.17/0.58
% 0.17/0.58 (c) Philipp Rümmer, 2009-2023
% 0.17/0.58 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.17/0.58 Amanda Stjerna.
% 0.17/0.58 Free software under BSD-3-Clause.
% 0.17/0.58
% 0.17/0.58 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.17/0.58
% 0.17/0.58 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.17/0.59 Running up to 7 provers in parallel.
% 0.17/0.62 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.17/0.62 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.17/0.62 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.17/0.62 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.17/0.62 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.17/0.62 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.17/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.73/1.20 Prover 1: Preprocessing ...
% 2.73/1.21 Prover 4: Preprocessing ...
% 3.19/1.28 Prover 5: Preprocessing ...
% 3.19/1.28 Prover 0: Preprocessing ...
% 3.19/1.28 Prover 2: Preprocessing ...
% 3.19/1.28 Prover 6: Preprocessing ...
% 3.19/1.30 Prover 3: Preprocessing ...
% 7.91/2.11 Prover 5: Proving ...
% 7.91/2.12 Prover 1: Warning: ignoring some quantifiers
% 7.91/2.14 Prover 2: Proving ...
% 8.32/2.18 Prover 6: Proving ...
% 8.32/2.20 Prover 1: Constructing countermodel ...
% 8.57/2.22 Prover 3: Warning: ignoring some quantifiers
% 8.57/2.24 Prover 3: Constructing countermodel ...
% 11.06/2.75 Prover 4: Warning: ignoring some quantifiers
% 11.77/2.85 Prover 3: proved (2229ms)
% 11.77/2.85
% 12.19/2.85 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.19/2.85
% 12.19/2.86 Prover 5: stopped
% 12.19/2.86 Prover 6: stopped
% 12.25/2.88 Prover 2: stopped
% 12.25/2.88 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 12.25/2.88 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 12.25/2.88 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 12.25/2.89 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 12.25/2.90 Prover 4: Constructing countermodel ...
% 13.14/3.05 Prover 8: Preprocessing ...
% 13.14/3.06 Prover 7: Preprocessing ...
% 13.14/3.07 Prover 11: Preprocessing ...
% 13.44/3.09 Prover 10: Preprocessing ...
% 13.87/3.19 Prover 0: Proving ...
% 13.87/3.19 Prover 0: stopped
% 13.87/3.20 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 14.13/3.24 Prover 10: Warning: ignoring some quantifiers
% 14.36/3.24 Prover 7: Warning: ignoring some quantifiers
% 14.36/3.28 Prover 10: Constructing countermodel ...
% 14.36/3.29 Prover 7: Constructing countermodel ...
% 14.36/3.32 Prover 13: Preprocessing ...
% 14.36/3.36 Prover 8: Warning: ignoring some quantifiers
% 14.36/3.39 Prover 8: Constructing countermodel ...
% 15.79/3.55 Prover 13: Warning: ignoring some quantifiers
% 16.17/3.58 Prover 13: Constructing countermodel ...
% 17.52/3.84 Prover 7: Found proof (size 61)
% 17.52/3.84 Prover 7: proved (976ms)
% 17.52/3.84 Prover 8: stopped
% 17.52/3.84 Prover 1: stopped
% 17.52/3.84 Prover 10: stopped
% 17.52/3.84 Prover 13: stopped
% 17.52/3.84 Prover 4: stopped
% 17.86/3.92 Prover 11: Warning: ignoring some quantifiers
% 18.26/3.96 Prover 11: Constructing countermodel ...
% 18.26/3.98 Prover 11: stopped
% 18.26/3.98
% 18.26/3.98 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.26/3.98
% 18.41/3.99 % SZS output start Proof for theBenchmark
% 18.41/4.00 Assumptions after simplification:
% 18.41/4.00 ---------------------------------
% 18.41/4.00
% 18.41/4.00 (dt_k1_group_1)
% 18.41/4.02 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (k1_group_1(v0,
% 18.41/4.02 v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ l1_group_1(v0) |
% 18.41/4.02 v3_struct_0(v0) | ? [v4: $i] : (u1_struct_0(v0) = v4 & $i(v4) & ( ~
% 18.41/4.02 m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4) | m1_subset_1(v3, v4))))
% 18.41/4.02
% 18.41/4.02 (dt_k1_latsubgr)
% 18.41/4.03 ! [v0: $i] : ! [v1: $i] : ( ~ (k1_latsubgr(v0) = v1) | ~ $i(v0) | ~
% 18.41/4.03 l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | v1_funct_1(v1) |
% 18.41/4.03 v3_struct_0(v0)) & ! [v0: $i] : ! [v1: $i] : ( ~ (k1_latsubgr(v0) = v1) |
% 18.41/4.03 ~ $i(v0) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) |
% 18.41/4.03 v3_struct_0(v0) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : (k1_group_3(v0)
% 18.41/4.03 = v2 & k1_zfmisc_1(v3) = v4 & u1_struct_0(v0) = v3 & $i(v4) & $i(v3) &
% 18.41/4.03 $i(v2) & m2_relset_1(v1, v2, v4) & v1_funct_2(v1, v2, v4))) & ! [v0: $i]
% 18.41/4.03 : ! [v1: $i] : ( ~ (k1_group_3(v0) = v1) | ~ $i(v0) | ~ l1_group_1(v0) | ~
% 18.41/4.03 v4_group_1(v0) | ~ v3_group_1(v0) | v3_struct_0(v0) | ? [v2: $i] : ? [v3:
% 18.41/4.03 $i] : ? [v4: $i] : (k1_latsubgr(v0) = v2 & k1_zfmisc_1(v3) = v4 &
% 18.41/4.03 u1_struct_0(v0) = v3 & $i(v4) & $i(v3) & $i(v2) & m2_relset_1(v2, v1, v4)
% 18.41/4.03 & v1_funct_2(v2, v1, v4) & v1_funct_1(v2))) & ! [v0: $i] : ! [v1: $i] :
% 18.41/4.03 ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~ l1_group_1(v0) | ~ v4_group_1(v0)
% 18.41/4.03 | ~ v3_group_1(v0) | v3_struct_0(v0) | ? [v2: $i] : ? [v3: $i] : ? [v4:
% 18.41/4.03 $i] : (k1_latsubgr(v0) = v2 & k1_group_3(v0) = v3 & k1_zfmisc_1(v1) = v4 &
% 18.41/4.03 $i(v4) & $i(v3) & $i(v2) & m2_relset_1(v2, v3, v4) & v1_funct_2(v2, v3,
% 18.41/4.03 v4) & v1_funct_1(v2)))
% 18.41/4.03
% 18.41/4.04 (t18_latsubgr)
% 18.41/4.04 ! [v0: $i] : ! [v1: $i] : ( ~ (k1_latsubgr(v0) = v1) | ~ $i(v0) | ~
% 18.41/4.04 l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | v3_struct_0(v0) |
% 18.41/4.04 ? [v2: $i] : (u1_struct_0(v0) = v2 & $i(v2) & ! [v3: $i] : ! [v4: $i] : !
% 18.41/4.04 [v5: $i] : ( ~ (k1_funct_1(v1, v3) = v4) | ~ $i(v5) | ~ $i(v3) | ~
% 18.41/4.04 r1_rlvect_1(v3, v5) | ~ m1_subset_1(v5, v2) | ~ m1_group_2(v3, v0) |
% 18.41/4.04 ~ v1_group_1(v3) | r2_hidden(v5, v4)) & ! [v3: $i] : ! [v4: $i] : !
% 18.41/4.04 [v5: $i] : ( ~ (k1_funct_1(v1, v3) = v4) | ~ $i(v5) | ~ $i(v3) | ~
% 18.41/4.04 r2_hidden(v5, v4) | ~ m1_subset_1(v5, v2) | ~ m1_group_2(v3, v0) | ~
% 18.41/4.04 v1_group_1(v3) | r1_rlvect_1(v3, v5)))) & ! [v0: $i] : ! [v1: $i] : (
% 18.41/4.04 ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~ l1_group_1(v0) | ~ v4_group_1(v0)
% 18.41/4.04 | ~ v3_group_1(v0) | v3_struct_0(v0) | ? [v2: $i] : (k1_latsubgr(v0) = v2
% 18.41/4.04 & $i(v2) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (k1_funct_1(v2,
% 18.41/4.04 v3) = v4) | ~ $i(v5) | ~ $i(v3) | ~ r1_rlvect_1(v3, v5) | ~
% 18.41/4.04 m1_subset_1(v5, v1) | ~ m1_group_2(v3, v0) | ~ v1_group_1(v3) |
% 18.41/4.04 r2_hidden(v5, v4)) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 18.41/4.04 (k1_funct_1(v2, v3) = v4) | ~ $i(v5) | ~ $i(v3) | ~ r2_hidden(v5, v4)
% 18.41/4.04 | ~ m1_subset_1(v5, v1) | ~ m1_group_2(v3, v0) | ~ v1_group_1(v3) |
% 18.41/4.04 r1_rlvect_1(v3, v5))))
% 18.41/4.04
% 18.41/4.04 (t21_latsubgr)
% 18.41/4.04 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5:
% 18.41/4.04 $i] : ? [v6: $i] : ? [v7: $i] : (k1_funct_1(v2, v3) = v4 & k1_latsubgr(v0)
% 18.41/4.04 = v2 & k1_group_1(v0, v5, v6) = v7 & u1_struct_0(v0) = v1 & $i(v7) & $i(v6)
% 18.41/4.04 & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & r2_hidden(v6, v4) &
% 18.41/4.04 r2_hidden(v5, v4) & m1_subset_1(v6, v1) & m1_subset_1(v5, v1) &
% 18.41/4.04 m1_group_2(v3, v0) & v1_group_1(v3) & l1_group_1(v0) & v4_group_1(v0) &
% 18.41/4.04 v3_group_1(v0) & ~ r2_hidden(v7, v4) & ~ v3_struct_0(v0))
% 18.41/4.04
% 18.41/4.04 (t59_group_2)
% 18.41/4.05 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 18.41/4.05 $i] : ( ~ (k1_group_1(v0, v2, v3) = v4) | ~ (u1_struct_0(v0) = v1) | ~
% 18.41/4.05 $i(v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v0) | ~ r1_rlvect_1(v5, v3) | ~
% 18.41/4.05 r1_rlvect_1(v5, v2) | ~ m1_subset_1(v3, v1) | ~ m1_subset_1(v2, v1) | ~
% 18.41/4.05 m1_group_2(v5, v0) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~
% 18.41/4.05 v3_group_1(v0) | r1_rlvect_1(v5, v4) | v3_struct_0(v0))
% 18.41/4.05
% 18.41/4.05 (function-axioms)
% 18.41/4.05 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0
% 18.41/4.05 | ~ (k1_group_1(v4, v3, v2) = v1) | ~ (k1_group_1(v4, v3, v2) = v0)) & !
% 18.41/4.05 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 18.41/4.05 (k1_funct_1(v3, v2) = v1) | ~ (k1_funct_1(v3, v2) = v0)) & ! [v0: $i] : !
% 18.41/4.05 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (k2_zfmisc_1(v3, v2) =
% 18.41/4.05 v1) | ~ (k2_zfmisc_1(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 18.41/4.05 $i] : ! [v3: $i] : (v1 = v0 | ~ (g1_group_1(v3, v2) = v1) | ~
% 18.41/4.05 (g1_group_1(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 18.41/4.05 v0 | ~ (k1_latsubgr(v2) = v1) | ~ (k1_latsubgr(v2) = v0)) & ! [v0: $i] :
% 18.41/4.05 ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (k1_group_3(v2) = v1) | ~
% 18.41/4.05 (k1_group_3(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0
% 18.41/4.05 | ~ (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0)) & ! [v0: $i] : !
% 18.41/4.05 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (u1_group_1(v2) = v1) | ~
% 18.41/4.05 (u1_group_1(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0
% 18.41/4.05 | ~ (u1_struct_0(v2) = v1) | ~ (u1_struct_0(v2) = v0))
% 18.41/4.05
% 18.41/4.05 Further assumptions not needed in the proof:
% 18.41/4.05 --------------------------------------------
% 18.41/4.05 abstractness_v1_group_1, antisymmetry_r2_hidden, cc1_funct_2, cc1_relset_1,
% 18.41/4.05 cc5_funct_2, cc6_funct_2, dt_g1_group_1, dt_k1_funct_1, dt_k1_group_3,
% 18.41/4.05 dt_k1_xboole_0, dt_k1_zfmisc_1, dt_k2_zfmisc_1, dt_l1_group_1, dt_l1_struct_0,
% 18.41/4.05 dt_m1_group_2, dt_m1_relset_1, dt_m1_subset_1, dt_m2_relset_1, dt_u1_group_1,
% 18.41/4.05 dt_u1_struct_0, existence_l1_group_1, existence_l1_struct_0,
% 18.41/4.05 existence_m1_group_2, existence_m1_relset_1, existence_m1_subset_1,
% 18.41/4.05 existence_m2_relset_1, fc1_group_3, fc1_struct_0, fc1_subset_1, fc1_xboole_0,
% 18.41/4.05 fc4_subset_1, free_g1_group_1, rc1_funct_2, rc1_subset_1, rc1_xboole_0,
% 18.41/4.05 rc2_partfun1, rc2_subset_1, rc2_xboole_0, rc3_struct_0, rc5_struct_0,
% 18.41/4.05 redefinition_m2_relset_1, reflexivity_r1_tarski, t1_subset, t2_subset,
% 18.41/4.05 t3_subset, t4_subset, t5_subset, t6_boole, t7_boole, t8_boole
% 18.41/4.05
% 18.41/4.05 Those formulas are unsatisfiable:
% 18.41/4.05 ---------------------------------
% 18.41/4.05
% 18.41/4.05 Begin of proof
% 18.41/4.05 |
% 18.41/4.05 | ALPHA: (dt_k1_latsubgr) implies:
% 18.41/4.05 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~
% 18.41/4.05 | l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) |
% 18.41/4.05 | v3_struct_0(v0) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 18.41/4.05 | (k1_latsubgr(v0) = v2 & k1_group_3(v0) = v3 & k1_zfmisc_1(v1) = v4 &
% 18.41/4.05 | $i(v4) & $i(v3) & $i(v2) & m2_relset_1(v2, v3, v4) & v1_funct_2(v2,
% 18.41/4.05 | v3, v4) & v1_funct_1(v2)))
% 18.41/4.06 | (2) ! [v0: $i] : ! [v1: $i] : ( ~ (k1_latsubgr(v0) = v1) | ~ $i(v0) | ~
% 18.41/4.06 | l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) |
% 18.41/4.06 | v3_struct_0(v0) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 18.41/4.06 | (k1_group_3(v0) = v2 & k1_zfmisc_1(v3) = v4 & u1_struct_0(v0) = v3 &
% 18.41/4.06 | $i(v4) & $i(v3) & $i(v2) & m2_relset_1(v1, v2, v4) & v1_funct_2(v1,
% 18.41/4.06 | v2, v4)))
% 18.41/4.06 |
% 18.41/4.06 | ALPHA: (t18_latsubgr) implies:
% 18.41/4.06 | (3) ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~
% 18.41/4.06 | l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) |
% 18.41/4.06 | v3_struct_0(v0) | ? [v2: $i] : (k1_latsubgr(v0) = v2 & $i(v2) & !
% 18.41/4.06 | [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (k1_funct_1(v2, v3) =
% 18.41/4.06 | v4) | ~ $i(v5) | ~ $i(v3) | ~ r1_rlvect_1(v3, v5) | ~
% 18.41/4.06 | m1_subset_1(v5, v1) | ~ m1_group_2(v3, v0) | ~ v1_group_1(v3) |
% 18.41/4.06 | r2_hidden(v5, v4)) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (
% 18.41/4.06 | ~ (k1_funct_1(v2, v3) = v4) | ~ $i(v5) | ~ $i(v3) | ~
% 18.41/4.06 | r2_hidden(v5, v4) | ~ m1_subset_1(v5, v1) | ~ m1_group_2(v3,
% 18.41/4.06 | v0) | ~ v1_group_1(v3) | r1_rlvect_1(v3, v5))))
% 18.41/4.06 | (4) ! [v0: $i] : ! [v1: $i] : ( ~ (k1_latsubgr(v0) = v1) | ~ $i(v0) | ~
% 18.41/4.06 | l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) |
% 18.41/4.06 | v3_struct_0(v0) | ? [v2: $i] : (u1_struct_0(v0) = v2 & $i(v2) & !
% 18.41/4.06 | [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (k1_funct_1(v1, v3) =
% 18.41/4.06 | v4) | ~ $i(v5) | ~ $i(v3) | ~ r1_rlvect_1(v3, v5) | ~
% 18.41/4.06 | m1_subset_1(v5, v2) | ~ m1_group_2(v3, v0) | ~ v1_group_1(v3) |
% 18.41/4.06 | r2_hidden(v5, v4)) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (
% 18.41/4.06 | ~ (k1_funct_1(v1, v3) = v4) | ~ $i(v5) | ~ $i(v3) | ~
% 18.41/4.06 | r2_hidden(v5, v4) | ~ m1_subset_1(v5, v2) | ~ m1_group_2(v3,
% 18.41/4.06 | v0) | ~ v1_group_1(v3) | r1_rlvect_1(v3, v5))))
% 18.41/4.06 |
% 18.41/4.06 | ALPHA: (function-axioms) implies:
% 18.41/4.06 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 18.41/4.06 | (u1_struct_0(v2) = v1) | ~ (u1_struct_0(v2) = v0))
% 18.41/4.06 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 18.41/4.06 | (k1_latsubgr(v2) = v1) | ~ (k1_latsubgr(v2) = v0))
% 18.41/4.06 |
% 18.41/4.06 | DELTA: instantiating (t21_latsubgr) with fresh symbols all_53_0, all_53_1,
% 18.41/4.06 | all_53_2, all_53_3, all_53_4, all_53_5, all_53_6, all_53_7 gives:
% 18.41/4.07 | (7) k1_funct_1(all_53_5, all_53_4) = all_53_3 & k1_latsubgr(all_53_7) =
% 18.41/4.07 | all_53_5 & k1_group_1(all_53_7, all_53_2, all_53_1) = all_53_0 &
% 18.41/4.07 | u1_struct_0(all_53_7) = all_53_6 & $i(all_53_0) & $i(all_53_1) &
% 18.41/4.07 | $i(all_53_2) & $i(all_53_3) & $i(all_53_4) & $i(all_53_5) &
% 18.41/4.07 | $i(all_53_6) & $i(all_53_7) & r2_hidden(all_53_1, all_53_3) &
% 18.41/4.07 | r2_hidden(all_53_2, all_53_3) & m1_subset_1(all_53_1, all_53_6) &
% 18.41/4.07 | m1_subset_1(all_53_2, all_53_6) & m1_group_2(all_53_4, all_53_7) &
% 18.41/4.07 | v1_group_1(all_53_4) & l1_group_1(all_53_7) & v4_group_1(all_53_7) &
% 18.41/4.07 | v3_group_1(all_53_7) & ~ r2_hidden(all_53_0, all_53_3) & ~
% 18.41/4.07 | v3_struct_0(all_53_7)
% 18.41/4.07 |
% 18.41/4.07 | ALPHA: (7) implies:
% 18.41/4.07 | (8) ~ v3_struct_0(all_53_7)
% 18.41/4.07 | (9) ~ r2_hidden(all_53_0, all_53_3)
% 18.41/4.07 | (10) v3_group_1(all_53_7)
% 18.41/4.07 | (11) v4_group_1(all_53_7)
% 18.41/4.07 | (12) l1_group_1(all_53_7)
% 18.41/4.07 | (13) v1_group_1(all_53_4)
% 18.41/4.07 | (14) m1_group_2(all_53_4, all_53_7)
% 18.41/4.07 | (15) m1_subset_1(all_53_2, all_53_6)
% 18.41/4.07 | (16) m1_subset_1(all_53_1, all_53_6)
% 18.41/4.07 | (17) r2_hidden(all_53_2, all_53_3)
% 18.41/4.07 | (18) r2_hidden(all_53_1, all_53_3)
% 18.41/4.07 | (19) $i(all_53_7)
% 18.41/4.07 | (20) $i(all_53_4)
% 18.41/4.07 | (21) $i(all_53_2)
% 18.41/4.07 | (22) $i(all_53_1)
% 18.41/4.07 | (23) $i(all_53_0)
% 18.41/4.07 | (24) u1_struct_0(all_53_7) = all_53_6
% 18.41/4.07 | (25) k1_group_1(all_53_7, all_53_2, all_53_1) = all_53_0
% 18.41/4.07 | (26) k1_latsubgr(all_53_7) = all_53_5
% 18.41/4.07 | (27) k1_funct_1(all_53_5, all_53_4) = all_53_3
% 18.41/4.07 |
% 18.41/4.07 | GROUND_INST: instantiating (1) with all_53_7, all_53_6, simplifying with (8),
% 18.41/4.07 | (10), (11), (12), (19), (24) gives:
% 18.41/4.07 | (28) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (k1_latsubgr(all_53_7) = v0
% 18.41/4.07 | & k1_group_3(all_53_7) = v1 & k1_zfmisc_1(all_53_6) = v2 & $i(v2) &
% 18.41/4.07 | $i(v1) & $i(v0) & m2_relset_1(v0, v1, v2) & v1_funct_2(v0, v1, v2) &
% 18.41/4.07 | v1_funct_1(v0))
% 18.41/4.07 |
% 18.41/4.07 | GROUND_INST: instantiating (3) with all_53_7, all_53_6, simplifying with (8),
% 18.41/4.07 | (10), (11), (12), (19), (24) gives:
% 18.41/4.08 | (29) ? [v0: $i] : (k1_latsubgr(all_53_7) = v0 & $i(v0) & ! [v1: $i] : !
% 18.41/4.08 | [v2: $i] : ! [v3: $i] : ( ~ (k1_funct_1(v0, v1) = v2) | ~ $i(v3) |
% 18.41/4.08 | ~ $i(v1) | ~ r1_rlvect_1(v1, v3) | ~ m1_subset_1(v3, all_53_6)
% 18.41/4.08 | | ~ m1_group_2(v1, all_53_7) | ~ v1_group_1(v1) | r2_hidden(v3,
% 18.41/4.08 | v2)) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 18.41/4.08 | (k1_funct_1(v0, v1) = v2) | ~ $i(v3) | ~ $i(v1) | ~
% 18.41/4.08 | r2_hidden(v3, v2) | ~ m1_subset_1(v3, all_53_6) | ~
% 18.41/4.08 | m1_group_2(v1, all_53_7) | ~ v1_group_1(v1) | r1_rlvect_1(v1,
% 18.41/4.08 | v3)))
% 18.41/4.08 |
% 18.41/4.08 | GROUND_INST: instantiating (dt_k1_group_1) with all_53_7, all_53_2, all_53_1,
% 18.41/4.08 | all_53_0, simplifying with (8), (12), (19), (21), (22), (25)
% 18.41/4.08 | gives:
% 18.41/4.08 | (30) ? [v0: $i] : (u1_struct_0(all_53_7) = v0 & $i(v0) & ( ~
% 18.41/4.08 | m1_subset_1(all_53_1, v0) | ~ m1_subset_1(all_53_2, v0) |
% 18.41/4.08 | m1_subset_1(all_53_0, v0)))
% 18.41/4.08 |
% 18.41/4.09 | GROUND_INST: instantiating (2) with all_53_7, all_53_5, simplifying with (8),
% 18.41/4.09 | (10), (11), (12), (19), (26) gives:
% 18.41/4.09 | (31) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (k1_group_3(all_53_7) = v0 &
% 18.41/4.09 | k1_zfmisc_1(v1) = v2 & u1_struct_0(all_53_7) = v1 & $i(v2) & $i(v1)
% 18.41/4.09 | & $i(v0) & m2_relset_1(all_53_5, v0, v2) & v1_funct_2(all_53_5, v0,
% 18.41/4.09 | v2))
% 18.41/4.09 |
% 18.41/4.09 | GROUND_INST: instantiating (4) with all_53_7, all_53_5, simplifying with (8),
% 18.41/4.09 | (10), (11), (12), (19), (26) gives:
% 18.41/4.09 | (32) ? [v0: $i] : (u1_struct_0(all_53_7) = v0 & $i(v0) & ! [v1: $i] : !
% 18.41/4.09 | [v2: $i] : ! [v3: $i] : ( ~ (k1_funct_1(all_53_5, v1) = v2) | ~
% 18.41/4.09 | $i(v3) | ~ $i(v1) | ~ r1_rlvect_1(v1, v3) | ~ m1_subset_1(v3,
% 18.41/4.09 | v0) | ~ m1_group_2(v1, all_53_7) | ~ v1_group_1(v1) |
% 18.41/4.09 | r2_hidden(v3, v2)) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 18.41/4.09 | (k1_funct_1(all_53_5, v1) = v2) | ~ $i(v3) | ~ $i(v1) | ~
% 18.41/4.09 | r2_hidden(v3, v2) | ~ m1_subset_1(v3, v0) | ~ m1_group_2(v1,
% 18.41/4.09 | all_53_7) | ~ v1_group_1(v1) | r1_rlvect_1(v1, v3)))
% 18.41/4.09 |
% 18.41/4.09 | DELTA: instantiating (30) with fresh symbol all_67_0 gives:
% 18.41/4.09 | (33) u1_struct_0(all_53_7) = all_67_0 & $i(all_67_0) & ( ~
% 18.41/4.09 | m1_subset_1(all_53_1, all_67_0) | ~ m1_subset_1(all_53_2, all_67_0)
% 18.41/4.09 | | m1_subset_1(all_53_0, all_67_0))
% 18.41/4.09 |
% 18.41/4.09 | ALPHA: (33) implies:
% 18.41/4.09 | (34) u1_struct_0(all_53_7) = all_67_0
% 18.41/4.09 | (35) ~ m1_subset_1(all_53_1, all_67_0) | ~ m1_subset_1(all_53_2,
% 18.41/4.09 | all_67_0) | m1_subset_1(all_53_0, all_67_0)
% 18.41/4.09 |
% 18.41/4.09 | DELTA: instantiating (31) with fresh symbols all_71_0, all_71_1, all_71_2
% 18.41/4.09 | gives:
% 18.79/4.10 | (36) k1_group_3(all_53_7) = all_71_2 & k1_zfmisc_1(all_71_1) = all_71_0 &
% 18.79/4.10 | u1_struct_0(all_53_7) = all_71_1 & $i(all_71_0) & $i(all_71_1) &
% 18.79/4.10 | $i(all_71_2) & m2_relset_1(all_53_5, all_71_2, all_71_0) &
% 18.79/4.10 | v1_funct_2(all_53_5, all_71_2, all_71_0)
% 18.79/4.10 |
% 18.79/4.10 | ALPHA: (36) implies:
% 18.79/4.10 | (37) u1_struct_0(all_53_7) = all_71_1
% 18.79/4.10 |
% 18.79/4.10 | DELTA: instantiating (28) with fresh symbols all_73_0, all_73_1, all_73_2
% 18.79/4.10 | gives:
% 18.79/4.10 | (38) k1_latsubgr(all_53_7) = all_73_2 & k1_group_3(all_53_7) = all_73_1 &
% 18.79/4.10 | k1_zfmisc_1(all_53_6) = all_73_0 & $i(all_73_0) & $i(all_73_1) &
% 18.79/4.10 | $i(all_73_2) & m2_relset_1(all_73_2, all_73_1, all_73_0) &
% 18.79/4.10 | v1_funct_2(all_73_2, all_73_1, all_73_0) & v1_funct_1(all_73_2)
% 18.79/4.10 |
% 18.79/4.10 | ALPHA: (38) implies:
% 18.79/4.10 | (39) k1_latsubgr(all_53_7) = all_73_2
% 18.79/4.10 |
% 18.79/4.10 | DELTA: instantiating (29) with fresh symbol all_75_0 gives:
% 18.79/4.10 | (40) k1_latsubgr(all_53_7) = all_75_0 & $i(all_75_0) & ! [v0: $i] : !
% 18.79/4.10 | [v1: $i] : ! [v2: $i] : ( ~ (k1_funct_1(all_75_0, v0) = v1) | ~
% 18.79/4.10 | $i(v2) | ~ $i(v0) | ~ r1_rlvect_1(v0, v2) | ~ m1_subset_1(v2,
% 18.79/4.10 | all_53_6) | ~ m1_group_2(v0, all_53_7) | ~ v1_group_1(v0) |
% 18.79/4.10 | r2_hidden(v2, v1)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 18.79/4.10 | (k1_funct_1(all_75_0, v0) = v1) | ~ $i(v2) | ~ $i(v0) | ~
% 18.79/4.10 | r2_hidden(v2, v1) | ~ m1_subset_1(v2, all_53_6) | ~ m1_group_2(v0,
% 18.79/4.10 | all_53_7) | ~ v1_group_1(v0) | r1_rlvect_1(v0, v2))
% 18.79/4.10 |
% 18.79/4.10 | ALPHA: (40) implies:
% 18.79/4.10 | (41) k1_latsubgr(all_53_7) = all_75_0
% 18.79/4.10 | (42) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k1_funct_1(all_75_0,
% 18.90/4.10 | v0) = v1) | ~ $i(v2) | ~ $i(v0) | ~ r1_rlvect_1(v0, v2) | ~
% 18.90/4.10 | m1_subset_1(v2, all_53_6) | ~ m1_group_2(v0, all_53_7) | ~
% 18.90/4.10 | v1_group_1(v0) | r2_hidden(v2, v1))
% 18.90/4.10 |
% 18.90/4.10 | DELTA: instantiating (32) with fresh symbol all_78_0 gives:
% 18.90/4.10 | (43) u1_struct_0(all_53_7) = all_78_0 & $i(all_78_0) & ! [v0: $i] : !
% 18.90/4.10 | [v1: $i] : ! [v2: $i] : ( ~ (k1_funct_1(all_53_5, v0) = v1) | ~
% 18.90/4.10 | $i(v2) | ~ $i(v0) | ~ r1_rlvect_1(v0, v2) | ~ m1_subset_1(v2,
% 18.90/4.10 | all_78_0) | ~ m1_group_2(v0, all_53_7) | ~ v1_group_1(v0) |
% 18.90/4.10 | r2_hidden(v2, v1)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 18.90/4.10 | (k1_funct_1(all_53_5, v0) = v1) | ~ $i(v2) | ~ $i(v0) | ~
% 18.90/4.10 | r2_hidden(v2, v1) | ~ m1_subset_1(v2, all_78_0) | ~ m1_group_2(v0,
% 18.90/4.10 | all_53_7) | ~ v1_group_1(v0) | r1_rlvect_1(v0, v2))
% 18.90/4.10 |
% 18.90/4.10 | ALPHA: (43) implies:
% 18.90/4.10 | (44) u1_struct_0(all_53_7) = all_78_0
% 18.90/4.10 | (45) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k1_funct_1(all_53_5,
% 18.90/4.10 | v0) = v1) | ~ $i(v2) | ~ $i(v0) | ~ r2_hidden(v2, v1) | ~
% 18.90/4.10 | m1_subset_1(v2, all_78_0) | ~ m1_group_2(v0, all_53_7) | ~
% 18.90/4.10 | v1_group_1(v0) | r1_rlvect_1(v0, v2))
% 18.90/4.10 |
% 18.90/4.10 | GROUND_INST: instantiating (45) with all_53_4, all_53_3, all_53_1, simplifying
% 18.90/4.10 | with (13), (14), (18), (20), (22), (27) gives:
% 18.90/4.11 | (46) ~ m1_subset_1(all_53_1, all_78_0) | r1_rlvect_1(all_53_4, all_53_1)
% 18.90/4.11 |
% 18.90/4.11 | GROUND_INST: instantiating (45) with all_53_4, all_53_3, all_53_2, simplifying
% 18.90/4.11 | with (13), (14), (17), (20), (21), (27) gives:
% 18.90/4.11 | (47) ~ m1_subset_1(all_53_2, all_78_0) | r1_rlvect_1(all_53_4, all_53_2)
% 18.90/4.11 |
% 18.90/4.11 | GROUND_INST: instantiating (5) with all_53_6, all_71_1, all_53_7, simplifying
% 18.90/4.11 | with (24), (37) gives:
% 18.90/4.11 | (48) all_71_1 = all_53_6
% 18.90/4.11 |
% 18.90/4.11 | GROUND_INST: instantiating (5) with all_71_1, all_78_0, all_53_7, simplifying
% 18.90/4.11 | with (37), (44) gives:
% 18.90/4.11 | (49) all_78_0 = all_71_1
% 18.90/4.11 |
% 18.90/4.11 | GROUND_INST: instantiating (5) with all_67_0, all_78_0, all_53_7, simplifying
% 18.90/4.11 | with (34), (44) gives:
% 18.90/4.11 | (50) all_78_0 = all_67_0
% 18.90/4.11 |
% 18.90/4.11 | GROUND_INST: instantiating (6) with all_53_5, all_75_0, all_53_7, simplifying
% 18.90/4.11 | with (26), (41) gives:
% 18.90/4.11 | (51) all_75_0 = all_53_5
% 18.90/4.11 |
% 18.90/4.11 | GROUND_INST: instantiating (6) with all_73_2, all_75_0, all_53_7, simplifying
% 18.90/4.11 | with (39), (41) gives:
% 18.90/4.11 | (52) all_75_0 = all_73_2
% 18.90/4.11 |
% 18.90/4.11 | COMBINE_EQS: (49), (50) imply:
% 18.90/4.11 | (53) all_71_1 = all_67_0
% 18.90/4.11 |
% 18.90/4.11 | SIMP: (53) implies:
% 18.90/4.11 | (54) all_71_1 = all_67_0
% 18.90/4.11 |
% 18.90/4.11 | COMBINE_EQS: (51), (52) imply:
% 18.90/4.11 | (55) all_73_2 = all_53_5
% 18.90/4.11 |
% 18.90/4.11 | COMBINE_EQS: (48), (54) imply:
% 18.90/4.11 | (56) all_67_0 = all_53_6
% 18.90/4.11 |
% 18.90/4.11 | COMBINE_EQS: (50), (56) imply:
% 18.90/4.11 | (57) all_78_0 = all_53_6
% 18.90/4.11 |
% 18.90/4.11 | BETA: splitting (47) gives:
% 18.90/4.11 |
% 18.90/4.11 | Case 1:
% 18.90/4.11 | |
% 18.90/4.11 | | (58) ~ m1_subset_1(all_53_2, all_78_0)
% 18.90/4.11 | |
% 18.90/4.11 | | REDUCE: (57), (58) imply:
% 18.90/4.11 | | (59) ~ m1_subset_1(all_53_2, all_53_6)
% 18.90/4.11 | |
% 18.90/4.11 | | PRED_UNIFY: (15), (59) imply:
% 18.90/4.11 | | (60) $false
% 18.90/4.11 | |
% 18.90/4.11 | | CLOSE: (60) is inconsistent.
% 18.90/4.11 | |
% 18.90/4.11 | Case 2:
% 18.90/4.11 | |
% 18.90/4.11 | | (61) m1_subset_1(all_53_2, all_78_0)
% 18.90/4.11 | | (62) r1_rlvect_1(all_53_4, all_53_2)
% 18.90/4.11 | |
% 18.90/4.11 | | BETA: splitting (46) gives:
% 18.90/4.11 | |
% 18.90/4.11 | | Case 1:
% 18.90/4.11 | | |
% 18.90/4.11 | | | (63) ~ m1_subset_1(all_53_1, all_78_0)
% 18.90/4.11 | | |
% 18.90/4.11 | | | REDUCE: (57), (63) imply:
% 18.90/4.11 | | | (64) ~ m1_subset_1(all_53_1, all_53_6)
% 18.90/4.11 | | |
% 18.90/4.11 | | | PRED_UNIFY: (16), (64) imply:
% 18.90/4.11 | | | (65) $false
% 18.90/4.11 | | |
% 18.90/4.11 | | | CLOSE: (65) is inconsistent.
% 18.90/4.11 | | |
% 18.90/4.11 | | Case 2:
% 18.90/4.11 | | |
% 18.90/4.11 | | | (66) m1_subset_1(all_53_1, all_78_0)
% 18.90/4.11 | | | (67) r1_rlvect_1(all_53_4, all_53_1)
% 18.90/4.11 | | |
% 18.90/4.11 | | | BETA: splitting (35) gives:
% 18.90/4.11 | | |
% 18.90/4.11 | | | Case 1:
% 18.90/4.11 | | | |
% 18.90/4.11 | | | | (68) ~ m1_subset_1(all_53_1, all_67_0)
% 18.90/4.11 | | | |
% 18.90/4.11 | | | | REDUCE: (56), (68) imply:
% 18.90/4.11 | | | | (69) ~ m1_subset_1(all_53_1, all_53_6)
% 18.90/4.11 | | | |
% 18.90/4.11 | | | | PRED_UNIFY: (16), (69) imply:
% 18.90/4.11 | | | | (70) $false
% 18.90/4.11 | | | |
% 18.90/4.11 | | | | CLOSE: (70) is inconsistent.
% 18.90/4.11 | | | |
% 18.90/4.11 | | | Case 2:
% 18.90/4.11 | | | |
% 18.90/4.11 | | | | (71) m1_subset_1(all_53_1, all_67_0)
% 18.90/4.11 | | | | (72) ~ m1_subset_1(all_53_2, all_67_0) | m1_subset_1(all_53_0,
% 18.90/4.11 | | | | all_67_0)
% 18.90/4.11 | | | |
% 18.90/4.11 | | | | BETA: splitting (72) gives:
% 18.90/4.11 | | | |
% 18.90/4.11 | | | | Case 1:
% 18.90/4.11 | | | | |
% 18.90/4.12 | | | | | (73) ~ m1_subset_1(all_53_2, all_67_0)
% 18.90/4.12 | | | | |
% 18.90/4.12 | | | | | REDUCE: (56), (73) imply:
% 18.90/4.12 | | | | | (74) ~ m1_subset_1(all_53_2, all_53_6)
% 18.90/4.12 | | | | |
% 18.90/4.12 | | | | | PRED_UNIFY: (15), (74) imply:
% 18.90/4.12 | | | | | (75) $false
% 18.90/4.12 | | | | |
% 18.90/4.12 | | | | | CLOSE: (75) is inconsistent.
% 18.90/4.12 | | | | |
% 18.90/4.12 | | | | Case 2:
% 18.90/4.12 | | | | |
% 18.90/4.12 | | | | | (76) m1_subset_1(all_53_2, all_67_0)
% 18.90/4.12 | | | | | (77) m1_subset_1(all_53_0, all_67_0)
% 18.90/4.12 | | | | |
% 18.90/4.12 | | | | | REDUCE: (56), (77) imply:
% 18.90/4.12 | | | | | (78) m1_subset_1(all_53_0, all_53_6)
% 18.90/4.12 | | | | |
% 18.90/4.12 | | | | | GROUND_INST: instantiating (t59_group_2) with all_53_7, all_53_6,
% 18.90/4.12 | | | | | all_53_2, all_53_1, all_53_0, all_53_4, simplifying with
% 18.90/4.12 | | | | | (8), (10), (11), (12), (14), (15), (16), (19), (20),
% 18.90/4.12 | | | | | (21), (22), (24), (25), (62), (67) gives:
% 18.90/4.12 | | | | | (79) r1_rlvect_1(all_53_4, all_53_0)
% 18.90/4.12 | | | | |
% 18.90/4.12 | | | | | GROUND_INST: instantiating (42) with all_53_4, all_53_3, all_53_0,
% 18.90/4.12 | | | | | simplifying with (9), (13), (14), (20), (23), (78), (79)
% 18.90/4.12 | | | | | gives:
% 18.90/4.12 | | | | | (80) ~ (k1_funct_1(all_75_0, all_53_4) = all_53_3)
% 18.90/4.12 | | | | |
% 18.90/4.12 | | | | | REDUCE: (51), (80) imply:
% 18.90/4.12 | | | | | (81) ~ (k1_funct_1(all_53_5, all_53_4) = all_53_3)
% 18.90/4.12 | | | | |
% 18.90/4.12 | | | | | PRED_UNIFY: (27), (81) imply:
% 18.90/4.12 | | | | | (82) $false
% 18.90/4.12 | | | | |
% 18.90/4.12 | | | | | CLOSE: (82) is inconsistent.
% 18.90/4.12 | | | | |
% 18.90/4.12 | | | | End of split
% 18.90/4.12 | | | |
% 18.90/4.12 | | | End of split
% 18.90/4.12 | | |
% 18.90/4.12 | | End of split
% 18.90/4.12 | |
% 18.90/4.12 | End of split
% 18.90/4.12 |
% 18.90/4.12 End of proof
% 18.90/4.12 % SZS output end Proof for theBenchmark
% 18.90/4.12
% 18.90/4.12 3538ms
%------------------------------------------------------------------------------