TSTP Solution File: TOP035+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : TOP035+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 : n005.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 : Fri Sep 1 05:58:55 EDT 2023
% Result : Theorem 38.56s 5.88s
% Output : Proof 45.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : TOP035+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 23:57:53 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.63 ________ _____
% 0.20/0.63 ___ __ \_________(_)________________________________
% 0.20/0.63 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.63 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.63 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.63
% 0.20/0.63 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.63 (2023-06-19)
% 0.20/0.63
% 0.20/0.63 (c) Philipp Rümmer, 2009-2023
% 0.20/0.63 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.63 Amanda Stjerna.
% 0.20/0.63 Free software under BSD-3-Clause.
% 0.20/0.63
% 0.20/0.63 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.63
% 0.20/0.63 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.20/0.64 Running up to 7 provers in parallel.
% 0.20/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 5.51/1.55 Prover 1: Preprocessing ...
% 5.51/1.55 Prover 4: Preprocessing ...
% 5.51/1.58 Prover 3: Preprocessing ...
% 5.51/1.58 Prover 5: Preprocessing ...
% 5.51/1.58 Prover 0: Preprocessing ...
% 5.51/1.58 Prover 2: Preprocessing ...
% 5.51/1.58 Prover 6: Preprocessing ...
% 12.30/2.49 Prover 1: Warning: ignoring some quantifiers
% 12.79/2.50 Prover 5: Proving ...
% 13.37/2.56 Prover 1: Constructing countermodel ...
% 13.37/2.59 Prover 2: Proving ...
% 13.37/2.62 Prover 3: Warning: ignoring some quantifiers
% 13.88/2.67 Prover 3: Constructing countermodel ...
% 14.55/2.75 Prover 6: Proving ...
% 38.56/5.87 Prover 2: proved (5219ms)
% 38.56/5.88
% 38.56/5.88 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 38.56/5.88
% 38.56/5.89 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 38.56/5.89 Prover 3: stopped
% 38.56/5.90 Prover 6: stopped
% 38.56/5.91 Prover 5: stopped
% 38.56/5.91 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 38.56/5.91 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 38.56/5.93 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 39.42/5.96 Prover 4: Warning: ignoring some quantifiers
% 39.98/6.01 Prover 7: Preprocessing ...
% 39.98/6.05 Prover 10: Preprocessing ...
% 40.54/6.11 Prover 4: Constructing countermodel ...
% 40.54/6.12 Prover 8: Preprocessing ...
% 40.54/6.15 Prover 11: Preprocessing ...
% 41.29/6.18 Prover 7: Warning: ignoring some quantifiers
% 41.45/6.21 Prover 7: Constructing countermodel ...
% 41.45/6.22 Prover 10: Warning: ignoring some quantifiers
% 41.70/6.23 Prover 10: Constructing countermodel ...
% 42.90/6.39 Prover 8: Warning: ignoring some quantifiers
% 42.90/6.40 Prover 8: Constructing countermodel ...
% 44.63/6.67 Prover 10: Found proof (size 65)
% 44.63/6.67 Prover 10: proved (757ms)
% 44.63/6.67 Prover 4: stopped
% 44.63/6.67 Prover 1: stopped
% 44.63/6.67 Prover 7: stopped
% 44.63/6.67 Prover 8: stopped
% 44.63/6.67 Prover 11: stopped
% 45.30/6.73 Prover 0: Proving ...
% 45.30/6.73 Prover 0: stopped
% 45.30/6.73
% 45.30/6.73 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 45.30/6.73
% 45.30/6.74 % SZS output start Proof for theBenchmark
% 45.30/6.74 Assumptions after simplification:
% 45.30/6.74 ---------------------------------
% 45.30/6.74
% 45.30/6.74 (d9_tsp_2)
% 45.30/6.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (k1_tsp_2(v0, v2)
% 45.30/6.77 = v3) | ~ (u1_struct_0(v0) = v1) | ~ $i(v2) | ~ $i(v0) | ~
% 45.30/6.77 m2_tsp_1(v2, v0) | ~ v2_tsp_2(v2, v0) | ~ l1_pre_topc(v0) | ~
% 45.30/6.77 v2_pre_topc(v0) | v3_struct_0(v2) | v3_struct_0(v0) | ? [v4: $i] :
% 45.30/6.77 (u1_struct_0(v2) = v4 & $i(v4) & ! [v5: $i] : (v5 = v3 | ~ $i(v5) | ~
% 45.30/6.77 v3_borsuk_1(v5, v0, v2) | ~ m2_relset_1(v5, v1, v4) | ~
% 45.30/6.77 v5_pre_topc(v5, v0, v2) | ~ v1_funct_2(v5, v1, v4) | ~ v1_funct_1(v5))
% 45.30/6.77 & ( ~ $i(v3) | ~ m2_relset_1(v3, v1, v4) | ~ v5_pre_topc(v3, v0, v2) |
% 45.30/6.77 ~ v1_funct_2(v3, v1, v4) | ~ v1_funct_1(v3) | v3_borsuk_1(v3, v0,
% 45.30/6.77 v2))))
% 45.30/6.77
% 45.30/6.77 (dt_k1_struct_0)
% 45.30/6.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k1_struct_0(v0, v1) = v2) | ~
% 45.30/6.77 $i(v1) | ~ $i(v0) | ~ l1_struct_0(v0) | v3_struct_0(v0) | ? [v3: $i] : ?
% 45.30/6.77 [v4: $i] : (u1_struct_0(v0) = v3 & $i(v3) & ( ~ m1_subset_1(v1, v3) |
% 45.30/6.77 (k1_zfmisc_1(v3) = v4 & $i(v4) & m1_subset_1(v2, v4)))))
% 45.30/6.77
% 45.30/6.77 (dt_k1_tsp_2)
% 45.30/6.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k1_tsp_2(v0, v1) = v2) | ~
% 45.30/6.77 $i(v1) | ~ $i(v0) | ~ m1_pre_topc(v1, v0) | ~ v2_tsp_2(v1, v0) | ~
% 45.30/6.77 l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v5_pre_topc(v2, v0, v1) |
% 45.30/6.77 v3_struct_0(v1) | v3_struct_0(v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 45.30/6.77 : ( ~ (k1_tsp_2(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ~ m1_pre_topc(v1, v0)
% 45.30/6.77 | ~ v2_tsp_2(v1, v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) |
% 45.30/6.77 v1_funct_1(v2) | v3_struct_0(v1) | v3_struct_0(v0)) & ! [v0: $i] : ! [v1:
% 45.30/6.77 $i] : ! [v2: $i] : ( ~ (k1_tsp_2(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 45.30/6.77 m1_pre_topc(v1, v0) | ~ v2_tsp_2(v1, v0) | ~ l1_pre_topc(v0) | ~
% 45.30/6.77 v2_pre_topc(v0) | v3_struct_0(v1) | v3_struct_0(v0) | ? [v3: $i] : ? [v4:
% 45.30/6.77 $i] : (u1_struct_0(v1) = v4 & u1_struct_0(v0) = v3 & $i(v4) & $i(v3) &
% 45.30/6.77 m2_relset_1(v2, v3, v4) & v1_funct_2(v2, v3, v4)))
% 45.30/6.77
% 45.30/6.77 (dt_k6_pre_topc)
% 45.30/6.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k6_pre_topc(v0, v1) = v2) | ~
% 45.30/6.77 $i(v1) | ~ $i(v0) | ~ l1_pre_topc(v0) | ? [v3: $i] : ? [v4: $i] :
% 45.30/6.77 (u1_struct_0(v0) = v3 & k1_zfmisc_1(v3) = v4 & $i(v4) & $i(v3) & ( ~
% 45.30/6.78 m1_subset_1(v1, v4) | m1_subset_1(v2, v4))))
% 45.30/6.78
% 45.30/6.78 (dt_l1_pre_topc)
% 45.30/6.78 ! [v0: $i] : ( ~ $i(v0) | ~ l1_pre_topc(v0) | l1_struct_0(v0))
% 45.30/6.78
% 45.30/6.78 (dt_m2_tsp_1)
% 45.30/6.78 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ m2_tsp_1(v1, v0) | ~
% 45.30/6.78 l1_pre_topc(v0) | l1_pre_topc(v1))
% 45.30/6.78
% 45.30/6.78 (l33_tsp_2)
% 45.30/6.78 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 45.30/6.78 $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] :
% 45.30/6.78 (v10 = v7 | ~ (k6_pre_topc(v2, v8) = v9) | ~ (k6_pre_topc(v0, v6) = v7) | ~
% 45.30/6.78 (k5_pre_topc(v0, v2, v4, v9) = v10) | ~ (k1_struct_0(v2, v5) = v8) | ~
% 45.30/6.78 (k1_struct_0(v0, v5) = v6) | ~ (u1_struct_0(v2) = v3) | ~ (u1_struct_0(v0)
% 45.30/6.78 = v1) | ~ $i(v5) | ~ $i(v4) | ~ $i(v2) | ~ $i(v0) | ~ v3_borsuk_1(v4,
% 45.30/6.78 v0, v2) | ~ m2_relset_1(v4, v1, v3) | ~ v5_pre_topc(v4, v0, v2) | ~
% 45.30/6.78 v1_funct_2(v4, v1, v3) | ~ v1_funct_1(v4) | ~ m1_subset_1(v5, v3) | ~
% 45.30/6.78 m1_subset_1(v5, v1) | ~ m2_tsp_1(v2, v0) | ~ v2_tsp_2(v2, v0) | ~
% 45.30/6.78 l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v3_struct_0(v2) | v3_struct_0(v0))
% 45.30/6.78
% 45.30/6.78 (redefinition_m2_tsp_1)
% 45.30/6.78 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ m1_pre_topc(v1, v0) |
% 45.30/6.78 ~ l1_pre_topc(v0) | m2_tsp_1(v1, v0)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 45.30/6.78 $i(v1) | ~ $i(v0) | ~ m2_tsp_1(v1, v0) | ~ l1_pre_topc(v0) |
% 45.30/6.78 m1_pre_topc(v1, v0))
% 45.30/6.78
% 45.30/6.78 (t24_tsp_2)
% 45.30/6.78 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5:
% 45.30/6.78 $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] :
% 45.30/6.78 ( ~ (v10 = v7) & k6_pre_topc(v2, v8) = v9 & k6_pre_topc(v0, v6) = v7 &
% 45.30/6.78 k5_pre_topc(v0, v2, v4, v9) = v10 & k1_struct_0(v2, v5) = v8 &
% 45.30/6.78 k1_struct_0(v0, v5) = v6 & k1_tsp_2(v0, v2) = v4 & u1_struct_0(v2) = v3 &
% 45.30/6.78 u1_struct_0(v0) = v1 & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5)
% 45.30/6.78 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & m1_subset_1(v5, v3) &
% 45.30/6.78 m1_subset_1(v5, v1) & m2_tsp_1(v2, v0) & v2_tsp_2(v2, v0) & l1_pre_topc(v0)
% 45.30/6.78 & v2_pre_topc(v0) & ~ v3_struct_0(v2) & ~ v3_struct_0(v0))
% 45.30/6.78
% 45.30/6.78 (function-axioms)
% 45.30/6.78 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 45.30/6.78 $i] : (v1 = v0 | ~ (k5_pre_topc(v5, v4, v3, v2) = v1) | ~ (k5_pre_topc(v5,
% 45.30/6.78 v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 45.30/6.78 $i] : (v1 = v0 | ~ (k10_relat_1(v3, v2) = v1) | ~ (k10_relat_1(v3, v2) =
% 45.30/6.78 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 |
% 45.30/6.78 ~ (k6_pre_topc(v3, v2) = v1) | ~ (k6_pre_topc(v3, v2) = v0)) & ! [v0: $i]
% 45.30/6.78 : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (k1_struct_0(v3, v2)
% 45.30/6.78 = v1) | ~ (k1_struct_0(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 45.30/6.78 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (k1_tsp_2(v3, v2) = v1) | ~
% 45.30/6.78 (k1_tsp_2(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 45.30/6.78 $i] : (v1 = v0 | ~ (k2_zfmisc_1(v3, v2) = v1) | ~ (k2_zfmisc_1(v3, v2) =
% 45.30/6.78 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 45.30/6.78 (k1_tarski(v2) = v1) | ~ (k1_tarski(v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 45.30/6.78 : ! [v2: $i] : (v1 = v0 | ~ (u1_struct_0(v2) = v1) | ~ (u1_struct_0(v2) =
% 45.30/6.78 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 45.30/6.78 (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0))
% 45.30/6.78
% 45.30/6.78 Further assumptions not needed in the proof:
% 45.30/6.78 --------------------------------------------
% 45.30/6.78 antisymmetry_r2_hidden, cc10_membered, cc10_tsp_1, cc10_tsp_2, cc11_membered,
% 45.30/6.78 cc11_tsp_1, cc12_membered, cc12_tsp_1, cc13_membered, cc13_tsp_1, cc14_membered,
% 45.30/6.78 cc15_membered, cc16_membered, cc17_membered, cc18_membered, cc19_membered,
% 45.30/6.78 cc1_membered, cc1_pre_topc, cc1_relset_1, cc1_tops_1, cc1_tsp_1, cc1_tsp_2,
% 45.30/6.78 cc20_membered, cc2_membered, cc2_tops_1, cc2_tsp_1, cc2_tsp_2, cc3_membered,
% 45.30/6.78 cc3_tops_1, cc3_tsp_1, cc3_tsp_2, cc4_membered, cc4_tops_1, cc4_tsp_1,
% 45.30/6.78 cc4_tsp_2, cc5_tops_1, cc5_tsp_1, cc5_tsp_2, cc6_tops_1, cc6_tsp_1, cc6_tsp_2,
% 45.30/6.78 cc7_tsp_1, cc7_tsp_2, cc8_tsp_1, cc8_tsp_2, cc9_tsp_1, cc9_tsp_2,
% 45.30/6.78 dt_k10_relat_1, dt_k1_tarski, dt_k1_xboole_0, dt_k1_zfmisc_1, dt_k2_zfmisc_1,
% 45.30/6.78 dt_k5_pre_topc, dt_l1_struct_0, dt_m1_pre_topc, dt_m1_relset_1, dt_m1_subset_1,
% 45.30/6.79 dt_m2_relset_1, dt_u1_struct_0, existence_l1_pre_topc, existence_l1_struct_0,
% 45.30/6.79 existence_m1_pre_topc, existence_m1_relset_1, existence_m1_subset_1,
% 45.30/6.79 existence_m2_relset_1, existence_m2_tsp_1, fc10_membered, fc11_membered,
% 45.30/6.79 fc1_struct_0, fc1_subset_1, fc2_subset_1, fc2_tops_1, fc4_subset_1,
% 45.30/6.79 fc6_membered, fc7_membered, fc8_membered, fc9_membered, rc1_membered,
% 45.30/6.79 rc1_subset_1, rc1_tops_1, rc2_subset_1, rc2_tops_1, rc3_struct_0, rc3_tops_1,
% 45.30/6.79 rc4_tops_1, rc5_struct_0, rc5_tops_1, rc6_pre_topc, rc7_pre_topc,
% 45.30/6.79 redefinition_k1_struct_0, redefinition_k5_pre_topc, redefinition_m2_relset_1,
% 45.30/6.79 reflexivity_r1_tarski, t1_subset, t2_subset, t3_subset, t4_subset, t5_subset,
% 45.30/6.79 t6_boole, t7_boole, t8_boole
% 45.30/6.79
% 45.30/6.79 Those formulas are unsatisfiable:
% 45.30/6.79 ---------------------------------
% 45.30/6.79
% 45.30/6.79 Begin of proof
% 45.30/6.79 |
% 45.30/6.79 | ALPHA: (dt_k1_tsp_2) implies:
% 45.30/6.79 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k1_tsp_2(v0, v1) = v2) |
% 45.30/6.79 | ~ $i(v1) | ~ $i(v0) | ~ m1_pre_topc(v1, v0) | ~ v2_tsp_2(v1, v0)
% 45.30/6.79 | | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v3_struct_0(v1) |
% 45.30/6.79 | v3_struct_0(v0) | ? [v3: $i] : ? [v4: $i] : (u1_struct_0(v1) = v4 &
% 45.30/6.79 | u1_struct_0(v0) = v3 & $i(v4) & $i(v3) & m2_relset_1(v2, v3, v4) &
% 45.30/6.79 | v1_funct_2(v2, v3, v4)))
% 45.30/6.79 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k1_tsp_2(v0, v1) = v2) |
% 45.30/6.79 | ~ $i(v1) | ~ $i(v0) | ~ m1_pre_topc(v1, v0) | ~ v2_tsp_2(v1, v0)
% 45.30/6.79 | | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v1_funct_1(v2) |
% 45.30/6.79 | v3_struct_0(v1) | v3_struct_0(v0))
% 45.30/6.79 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k1_tsp_2(v0, v1) = v2) |
% 45.30/6.79 | ~ $i(v1) | ~ $i(v0) | ~ m1_pre_topc(v1, v0) | ~ v2_tsp_2(v1, v0)
% 45.30/6.79 | | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v5_pre_topc(v2, v0, v1) |
% 45.30/6.79 | v3_struct_0(v1) | v3_struct_0(v0))
% 45.30/6.79 |
% 45.30/6.79 | ALPHA: (redefinition_m2_tsp_1) implies:
% 45.30/6.79 | (4) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ m2_tsp_1(v1,
% 45.30/6.79 | v0) | ~ l1_pre_topc(v0) | m1_pre_topc(v1, v0))
% 45.30/6.79 |
% 45.30/6.79 | ALPHA: (function-axioms) implies:
% 45.30/6.79 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 45.30/6.79 | (u1_struct_0(v2) = v1) | ~ (u1_struct_0(v2) = v0))
% 45.30/6.79 |
% 45.30/6.79 | DELTA: instantiating (t24_tsp_2) with fresh symbols all_108_0, all_108_1,
% 45.30/6.79 | all_108_2, all_108_3, all_108_4, all_108_5, all_108_6, all_108_7,
% 45.30/6.79 | all_108_8, all_108_9, all_108_10 gives:
% 45.30/6.79 | (6) ~ (all_108_0 = all_108_3) & k6_pre_topc(all_108_8, all_108_2) =
% 45.30/6.79 | all_108_1 & k6_pre_topc(all_108_10, all_108_4) = all_108_3 &
% 45.30/6.79 | k5_pre_topc(all_108_10, all_108_8, all_108_6, all_108_1) = all_108_0 &
% 45.30/6.79 | k1_struct_0(all_108_8, all_108_5) = all_108_2 & k1_struct_0(all_108_10,
% 45.30/6.79 | all_108_5) = all_108_4 & k1_tsp_2(all_108_10, all_108_8) = all_108_6
% 45.30/6.79 | & u1_struct_0(all_108_8) = all_108_7 & u1_struct_0(all_108_10) =
% 45.30/6.79 | all_108_9 & $i(all_108_0) & $i(all_108_1) & $i(all_108_2) &
% 45.30/6.79 | $i(all_108_3) & $i(all_108_4) & $i(all_108_5) & $i(all_108_6) &
% 45.30/6.79 | $i(all_108_7) & $i(all_108_8) & $i(all_108_9) & $i(all_108_10) &
% 45.30/6.79 | m1_subset_1(all_108_5, all_108_7) & m1_subset_1(all_108_5, all_108_9) &
% 45.30/6.79 | m2_tsp_1(all_108_8, all_108_10) & v2_tsp_2(all_108_8, all_108_10) &
% 45.30/6.79 | l1_pre_topc(all_108_10) & v2_pre_topc(all_108_10) & ~
% 45.30/6.79 | v3_struct_0(all_108_8) & ~ v3_struct_0(all_108_10)
% 45.30/6.79 |
% 45.30/6.79 | ALPHA: (6) implies:
% 45.72/6.79 | (7) ~ (all_108_0 = all_108_3)
% 45.72/6.79 | (8) ~ v3_struct_0(all_108_10)
% 45.72/6.79 | (9) ~ v3_struct_0(all_108_8)
% 45.72/6.79 | (10) v2_pre_topc(all_108_10)
% 45.72/6.80 | (11) l1_pre_topc(all_108_10)
% 45.72/6.80 | (12) v2_tsp_2(all_108_8, all_108_10)
% 45.72/6.80 | (13) m2_tsp_1(all_108_8, all_108_10)
% 45.72/6.80 | (14) m1_subset_1(all_108_5, all_108_9)
% 45.72/6.80 | (15) m1_subset_1(all_108_5, all_108_7)
% 45.72/6.80 | (16) $i(all_108_10)
% 45.72/6.80 | (17) $i(all_108_8)
% 45.72/6.80 | (18) $i(all_108_6)
% 45.72/6.80 | (19) $i(all_108_5)
% 45.72/6.80 | (20) $i(all_108_4)
% 45.72/6.80 | (21) $i(all_108_2)
% 45.72/6.80 | (22) u1_struct_0(all_108_10) = all_108_9
% 45.72/6.80 | (23) u1_struct_0(all_108_8) = all_108_7
% 45.72/6.80 | (24) k1_tsp_2(all_108_10, all_108_8) = all_108_6
% 45.72/6.80 | (25) k1_struct_0(all_108_10, all_108_5) = all_108_4
% 45.72/6.80 | (26) k1_struct_0(all_108_8, all_108_5) = all_108_2
% 45.72/6.80 | (27) k5_pre_topc(all_108_10, all_108_8, all_108_6, all_108_1) = all_108_0
% 45.72/6.80 | (28) k6_pre_topc(all_108_10, all_108_4) = all_108_3
% 45.72/6.80 | (29) k6_pre_topc(all_108_8, all_108_2) = all_108_1
% 45.72/6.80 |
% 45.72/6.80 | GROUND_INST: instantiating (dt_l1_pre_topc) with all_108_10, simplifying with
% 45.72/6.80 | (11), (16) gives:
% 45.72/6.80 | (30) l1_struct_0(all_108_10)
% 45.72/6.80 |
% 45.72/6.80 | GROUND_INST: instantiating (4) with all_108_10, all_108_8, simplifying with
% 45.72/6.80 | (11), (13), (16), (17) gives:
% 45.72/6.80 | (31) m1_pre_topc(all_108_8, all_108_10)
% 45.72/6.80 |
% 45.72/6.80 | GROUND_INST: instantiating (dt_m2_tsp_1) with all_108_10, all_108_8,
% 45.72/6.80 | simplifying with (11), (13), (16), (17) gives:
% 45.72/6.80 | (32) l1_pre_topc(all_108_8)
% 45.72/6.80 |
% 45.72/6.80 | GROUND_INST: instantiating (d9_tsp_2) with all_108_10, all_108_9, all_108_8,
% 45.72/6.80 | all_108_6, simplifying with (8), (9), (10), (11), (12), (13),
% 45.72/6.80 | (16), (17), (22), (24) gives:
% 45.72/6.80 | (33) ? [v0: $i] : (u1_struct_0(all_108_8) = v0 & $i(v0) & ! [v1: any] :
% 45.72/6.80 | (v1 = all_108_6 | ~ $i(v1) | ~ v3_borsuk_1(v1, all_108_10,
% 45.72/6.80 | all_108_8) | ~ m2_relset_1(v1, all_108_9, v0) | ~
% 45.72/6.80 | v5_pre_topc(v1, all_108_10, all_108_8) | ~ v1_funct_2(v1,
% 45.72/6.80 | all_108_9, v0) | ~ v1_funct_1(v1)) & ( ~ $i(all_108_6) | ~
% 45.72/6.80 | m2_relset_1(all_108_6, all_108_9, v0) | ~ v5_pre_topc(all_108_6,
% 45.72/6.80 | all_108_10, all_108_8) | ~ v1_funct_2(all_108_6, all_108_9, v0)
% 45.72/6.80 | | ~ v1_funct_1(all_108_6) | v3_borsuk_1(all_108_6, all_108_10,
% 45.72/6.80 | all_108_8)))
% 45.72/6.80 |
% 45.72/6.80 | GROUND_INST: instantiating (dt_k6_pre_topc) with all_108_10, all_108_4,
% 45.72/6.80 | all_108_3, simplifying with (11), (16), (20), (28) gives:
% 45.72/6.80 | (34) ? [v0: $i] : ? [v1: $i] : (u1_struct_0(all_108_10) = v0 &
% 45.72/6.80 | k1_zfmisc_1(v0) = v1 & $i(v1) & $i(v0) & ( ~ m1_subset_1(all_108_4,
% 45.72/6.80 | v1) | m1_subset_1(all_108_3, v1)))
% 45.72/6.80 |
% 45.72/6.80 | DELTA: instantiating (34) with fresh symbols all_131_0, all_131_1 gives:
% 45.72/6.80 | (35) u1_struct_0(all_108_10) = all_131_1 & k1_zfmisc_1(all_131_1) =
% 45.72/6.80 | all_131_0 & $i(all_131_0) & $i(all_131_1) & ( ~ m1_subset_1(all_108_4,
% 45.72/6.80 | all_131_0) | m1_subset_1(all_108_3, all_131_0))
% 45.72/6.80 |
% 45.72/6.80 | ALPHA: (35) implies:
% 45.72/6.80 | (36) u1_struct_0(all_108_10) = all_131_1
% 45.72/6.80 |
% 45.72/6.80 | DELTA: instantiating (33) with fresh symbol all_155_0 gives:
% 45.72/6.80 | (37) u1_struct_0(all_108_8) = all_155_0 & $i(all_155_0) & ! [v0: any] :
% 45.72/6.80 | (v0 = all_108_6 | ~ $i(v0) | ~ v3_borsuk_1(v0, all_108_10,
% 45.72/6.80 | all_108_8) | ~ m2_relset_1(v0, all_108_9, all_155_0) | ~
% 45.72/6.80 | v5_pre_topc(v0, all_108_10, all_108_8) | ~ v1_funct_2(v0,
% 45.72/6.81 | all_108_9, all_155_0) | ~ v1_funct_1(v0)) & ( ~ $i(all_108_6) |
% 45.72/6.81 | ~ m2_relset_1(all_108_6, all_108_9, all_155_0) | ~
% 45.72/6.81 | v5_pre_topc(all_108_6, all_108_10, all_108_8) | ~
% 45.72/6.81 | v1_funct_2(all_108_6, all_108_9, all_155_0) | ~
% 45.72/6.81 | v1_funct_1(all_108_6) | v3_borsuk_1(all_108_6, all_108_10,
% 45.72/6.81 | all_108_8))
% 45.72/6.81 |
% 45.72/6.81 | ALPHA: (37) implies:
% 45.72/6.81 | (38) u1_struct_0(all_108_8) = all_155_0
% 45.72/6.81 | (39) ~ $i(all_108_6) | ~ m2_relset_1(all_108_6, all_108_9, all_155_0) |
% 45.72/6.81 | ~ v5_pre_topc(all_108_6, all_108_10, all_108_8) | ~
% 45.72/6.81 | v1_funct_2(all_108_6, all_108_9, all_155_0) | ~ v1_funct_1(all_108_6)
% 45.72/6.81 | | v3_borsuk_1(all_108_6, all_108_10, all_108_8)
% 45.72/6.81 |
% 45.72/6.81 | GROUND_INST: instantiating (5) with all_108_9, all_131_1, all_108_10,
% 45.72/6.81 | simplifying with (22), (36) gives:
% 45.72/6.81 | (40) all_131_1 = all_108_9
% 45.72/6.81 |
% 45.72/6.81 | GROUND_INST: instantiating (5) with all_108_7, all_155_0, all_108_8,
% 45.72/6.81 | simplifying with (23), (38) gives:
% 45.72/6.81 | (41) all_155_0 = all_108_7
% 45.72/6.81 |
% 45.72/6.81 | GROUND_INST: instantiating (dt_k6_pre_topc) with all_108_8, all_108_2,
% 45.72/6.81 | all_108_1, simplifying with (17), (21), (29), (32) gives:
% 45.72/6.81 | (42) ? [v0: $i] : ? [v1: $i] : (u1_struct_0(all_108_8) = v0 &
% 45.72/6.81 | k1_zfmisc_1(v0) = v1 & $i(v1) & $i(v0) & ( ~ m1_subset_1(all_108_2,
% 45.72/6.81 | v1) | m1_subset_1(all_108_1, v1)))
% 45.72/6.81 |
% 45.72/6.81 | GROUND_INST: instantiating (3) with all_108_10, all_108_8, all_108_6,
% 45.72/6.81 | simplifying with (8), (9), (10), (11), (12), (16), (17), (24),
% 45.72/6.81 | (31) gives:
% 45.72/6.81 | (43) v5_pre_topc(all_108_6, all_108_10, all_108_8)
% 45.72/6.81 |
% 45.72/6.81 | GROUND_INST: instantiating (2) with all_108_10, all_108_8, all_108_6,
% 45.72/6.81 | simplifying with (8), (9), (10), (11), (12), (16), (17), (24),
% 45.72/6.81 | (31) gives:
% 45.72/6.81 | (44) v1_funct_1(all_108_6)
% 45.72/6.81 |
% 45.72/6.81 | GROUND_INST: instantiating (1) with all_108_10, all_108_8, all_108_6,
% 45.72/6.81 | simplifying with (8), (9), (10), (11), (12), (16), (17), (24),
% 45.72/6.81 | (31) gives:
% 45.72/6.81 | (45) ? [v0: $i] : ? [v1: $i] : (u1_struct_0(all_108_8) = v1 &
% 45.72/6.81 | u1_struct_0(all_108_10) = v0 & $i(v1) & $i(v0) &
% 45.72/6.81 | m2_relset_1(all_108_6, v0, v1) & v1_funct_2(all_108_6, v0, v1))
% 45.72/6.81 |
% 45.72/6.81 | GROUND_INST: instantiating (dt_k1_struct_0) with all_108_10, all_108_5,
% 45.72/6.81 | all_108_4, simplifying with (8), (16), (19), (25), (30) gives:
% 45.72/6.81 | (46) ? [v0: $i] : ? [v1: $i] : (u1_struct_0(all_108_10) = v0 & $i(v0) & (
% 45.72/6.81 | ~ m1_subset_1(all_108_5, v0) | (k1_zfmisc_1(v0) = v1 & $i(v1) &
% 45.72/6.81 | m1_subset_1(all_108_4, v1))))
% 45.72/6.81 |
% 45.72/6.81 | DELTA: instantiating (42) with fresh symbols all_183_0, all_183_1 gives:
% 45.72/6.81 | (47) u1_struct_0(all_108_8) = all_183_1 & k1_zfmisc_1(all_183_1) =
% 45.72/6.81 | all_183_0 & $i(all_183_0) & $i(all_183_1) & ( ~ m1_subset_1(all_108_2,
% 45.72/6.81 | all_183_0) | m1_subset_1(all_108_1, all_183_0))
% 45.72/6.81 |
% 45.72/6.81 | ALPHA: (47) implies:
% 45.72/6.81 | (48) u1_struct_0(all_108_8) = all_183_1
% 45.72/6.81 |
% 45.72/6.81 | DELTA: instantiating (45) with fresh symbols all_185_0, all_185_1 gives:
% 45.72/6.81 | (49) u1_struct_0(all_108_8) = all_185_0 & u1_struct_0(all_108_10) =
% 45.72/6.82 | all_185_1 & $i(all_185_0) & $i(all_185_1) & m2_relset_1(all_108_6,
% 45.72/6.82 | all_185_1, all_185_0) & v1_funct_2(all_108_6, all_185_1, all_185_0)
% 45.72/6.82 |
% 45.72/6.82 | ALPHA: (49) implies:
% 45.72/6.82 | (50) v1_funct_2(all_108_6, all_185_1, all_185_0)
% 45.72/6.82 | (51) m2_relset_1(all_108_6, all_185_1, all_185_0)
% 45.72/6.82 | (52) u1_struct_0(all_108_10) = all_185_1
% 45.72/6.82 | (53) u1_struct_0(all_108_8) = all_185_0
% 45.72/6.82 |
% 45.72/6.82 | DELTA: instantiating (46) with fresh symbols all_188_0, all_188_1 gives:
% 45.72/6.82 | (54) u1_struct_0(all_108_10) = all_188_1 & $i(all_188_1) & ( ~
% 45.72/6.82 | m1_subset_1(all_108_5, all_188_1) | (k1_zfmisc_1(all_188_1) =
% 45.72/6.82 | all_188_0 & $i(all_188_0) & m1_subset_1(all_108_4, all_188_0)))
% 45.72/6.82 |
% 45.72/6.82 | ALPHA: (54) implies:
% 45.72/6.82 | (55) u1_struct_0(all_108_10) = all_188_1
% 45.72/6.82 |
% 45.72/6.82 | GROUND_INST: instantiating (5) with all_108_9, all_188_1, all_108_10,
% 45.72/6.82 | simplifying with (22), (55) gives:
% 45.72/6.82 | (56) all_188_1 = all_108_9
% 45.72/6.82 |
% 45.72/6.82 | GROUND_INST: instantiating (5) with all_185_1, all_188_1, all_108_10,
% 45.72/6.82 | simplifying with (52), (55) gives:
% 45.72/6.82 | (57) all_188_1 = all_185_1
% 45.72/6.82 |
% 45.72/6.82 | GROUND_INST: instantiating (5) with all_108_7, all_185_0, all_108_8,
% 45.72/6.82 | simplifying with (23), (53) gives:
% 45.72/6.82 | (58) all_185_0 = all_108_7
% 45.72/6.82 |
% 45.72/6.82 | GROUND_INST: instantiating (5) with all_183_1, all_185_0, all_108_8,
% 45.72/6.82 | simplifying with (48), (53) gives:
% 45.72/6.82 | (59) all_185_0 = all_183_1
% 45.72/6.82 |
% 45.72/6.82 | COMBINE_EQS: (56), (57) imply:
% 45.72/6.82 | (60) all_185_1 = all_108_9
% 45.72/6.82 |
% 45.72/6.82 | COMBINE_EQS: (58), (59) imply:
% 45.72/6.82 | (61) all_183_1 = all_108_7
% 45.72/6.82 |
% 45.72/6.82 | REDUCE: (51), (58), (60) imply:
% 45.72/6.82 | (62) m2_relset_1(all_108_6, all_108_9, all_108_7)
% 45.72/6.82 |
% 45.72/6.82 | REDUCE: (50), (58), (60) imply:
% 45.72/6.82 | (63) v1_funct_2(all_108_6, all_108_9, all_108_7)
% 45.72/6.82 |
% 45.72/6.82 | BETA: splitting (39) gives:
% 45.72/6.82 |
% 45.72/6.82 | Case 1:
% 45.72/6.82 | |
% 45.72/6.82 | | (64) ~ $i(all_108_6)
% 45.72/6.82 | |
% 45.72/6.82 | | PRED_UNIFY: (18), (64) imply:
% 45.72/6.82 | | (65) $false
% 45.72/6.82 | |
% 45.72/6.82 | | CLOSE: (65) is inconsistent.
% 45.72/6.82 | |
% 45.72/6.82 | Case 2:
% 45.72/6.82 | |
% 45.72/6.82 | | (66) ~ m2_relset_1(all_108_6, all_108_9, all_155_0) | ~
% 45.72/6.82 | | v5_pre_topc(all_108_6, all_108_10, all_108_8) | ~
% 45.72/6.82 | | v1_funct_2(all_108_6, all_108_9, all_155_0) | ~
% 45.72/6.82 | | v1_funct_1(all_108_6) | v3_borsuk_1(all_108_6, all_108_10,
% 45.72/6.82 | | all_108_8)
% 45.72/6.82 | |
% 45.72/6.82 | | BETA: splitting (66) gives:
% 45.72/6.82 | |
% 45.72/6.82 | | Case 1:
% 45.72/6.82 | | |
% 45.72/6.82 | | | (67) ~ m2_relset_1(all_108_6, all_108_9, all_155_0)
% 45.72/6.82 | | |
% 45.72/6.82 | | | REDUCE: (41), (67) imply:
% 45.72/6.82 | | | (68) ~ m2_relset_1(all_108_6, all_108_9, all_108_7)
% 45.72/6.82 | | |
% 45.72/6.82 | | | PRED_UNIFY: (62), (68) imply:
% 45.72/6.82 | | | (69) $false
% 45.72/6.82 | | |
% 45.72/6.82 | | | CLOSE: (69) is inconsistent.
% 45.72/6.82 | | |
% 45.72/6.82 | | Case 2:
% 45.72/6.82 | | |
% 45.72/6.82 | | | (70) m2_relset_1(all_108_6, all_108_9, all_155_0)
% 45.72/6.82 | | | (71) ~ v5_pre_topc(all_108_6, all_108_10, all_108_8) | ~
% 45.72/6.82 | | | v1_funct_2(all_108_6, all_108_9, all_155_0) | ~
% 45.72/6.82 | | | v1_funct_1(all_108_6) | v3_borsuk_1(all_108_6, all_108_10,
% 45.72/6.82 | | | all_108_8)
% 45.72/6.82 | | |
% 45.72/6.82 | | | BETA: splitting (71) gives:
% 45.72/6.82 | | |
% 45.72/6.82 | | | Case 1:
% 45.72/6.82 | | | |
% 45.72/6.82 | | | | (72) ~ v5_pre_topc(all_108_6, all_108_10, all_108_8)
% 45.72/6.82 | | | |
% 45.72/6.82 | | | | PRED_UNIFY: (43), (72) imply:
% 45.72/6.82 | | | | (73) $false
% 45.72/6.82 | | | |
% 45.72/6.82 | | | | CLOSE: (73) is inconsistent.
% 45.72/6.82 | | | |
% 45.72/6.82 | | | Case 2:
% 45.72/6.82 | | | |
% 45.72/6.82 | | | | (74) ~ v1_funct_2(all_108_6, all_108_9, all_155_0) | ~
% 45.72/6.82 | | | | v1_funct_1(all_108_6) | v3_borsuk_1(all_108_6, all_108_10,
% 45.72/6.82 | | | | all_108_8)
% 45.72/6.82 | | | |
% 45.72/6.82 | | | | BETA: splitting (74) gives:
% 45.72/6.82 | | | |
% 45.72/6.82 | | | | Case 1:
% 45.72/6.82 | | | | |
% 45.72/6.82 | | | | | (75) ~ v1_funct_2(all_108_6, all_108_9, all_155_0)
% 45.72/6.82 | | | | |
% 45.72/6.82 | | | | | REDUCE: (41), (75) imply:
% 45.72/6.82 | | | | | (76) ~ v1_funct_2(all_108_6, all_108_9, all_108_7)
% 45.72/6.82 | | | | |
% 45.72/6.82 | | | | | PRED_UNIFY: (63), (76) imply:
% 45.72/6.82 | | | | | (77) $false
% 45.72/6.82 | | | | |
% 45.72/6.82 | | | | | CLOSE: (77) is inconsistent.
% 45.72/6.82 | | | | |
% 45.72/6.82 | | | | Case 2:
% 45.72/6.82 | | | | |
% 45.72/6.82 | | | | | (78) v1_funct_2(all_108_6, all_108_9, all_155_0)
% 45.72/6.82 | | | | | (79) ~ v1_funct_1(all_108_6) | v3_borsuk_1(all_108_6, all_108_10,
% 45.72/6.82 | | | | | all_108_8)
% 45.72/6.82 | | | | |
% 45.72/6.82 | | | | | BETA: splitting (79) gives:
% 45.72/6.82 | | | | |
% 45.72/6.82 | | | | | Case 1:
% 45.72/6.82 | | | | | |
% 45.72/6.82 | | | | | | (80) ~ v1_funct_1(all_108_6)
% 45.72/6.82 | | | | | |
% 45.72/6.82 | | | | | | PRED_UNIFY: (44), (80) imply:
% 45.72/6.82 | | | | | | (81) $false
% 45.72/6.82 | | | | | |
% 45.72/6.82 | | | | | | CLOSE: (81) is inconsistent.
% 45.72/6.82 | | | | | |
% 45.72/6.82 | | | | | Case 2:
% 45.72/6.82 | | | | | |
% 45.72/6.83 | | | | | | (82) v3_borsuk_1(all_108_6, all_108_10, all_108_8)
% 45.72/6.83 | | | | | |
% 45.72/6.83 | | | | | | GROUND_INST: instantiating (l33_tsp_2) with all_108_10, all_108_9,
% 45.72/6.83 | | | | | | all_108_8, all_108_7, all_108_6, all_108_5, all_108_4,
% 45.72/6.83 | | | | | | all_108_3, all_108_2, all_108_1, all_108_0, simplifying
% 45.72/6.83 | | | | | | with (8), (9), (10), (11), (12), (13), (14), (15),
% 45.72/6.83 | | | | | | (16), (17), (18), (19), (22), (23), (25), (26), (27),
% 45.72/6.83 | | | | | | (28), (29), (43), (44), (62), (63), (82) gives:
% 45.72/6.83 | | | | | | (83) all_108_0 = all_108_3
% 45.72/6.83 | | | | | |
% 45.72/6.83 | | | | | | REDUCE: (7), (83) imply:
% 45.72/6.83 | | | | | | (84) $false
% 45.72/6.83 | | | | | |
% 45.72/6.83 | | | | | | CLOSE: (84) is inconsistent.
% 45.72/6.83 | | | | | |
% 45.72/6.83 | | | | | End of split
% 45.72/6.83 | | | | |
% 45.72/6.83 | | | | End of split
% 45.72/6.83 | | | |
% 45.72/6.83 | | | End of split
% 45.72/6.83 | | |
% 45.72/6.83 | | End of split
% 45.72/6.83 | |
% 45.72/6.83 | End of split
% 45.72/6.83 |
% 45.72/6.83 End of proof
% 45.72/6.83 % SZS output end Proof for theBenchmark
% 45.72/6.83
% 45.72/6.83 6201ms
%------------------------------------------------------------------------------