TSTP Solution File: LAT362+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : LAT362+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 : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 06:25:06 EDT 2023
% Result : Theorem 131.89s 18.18s
% Output : Proof 132.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : LAT362+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.15 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.15/0.36 % Computer : n028.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 24 09:21:49 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.23/0.65 ________ _____
% 0.23/0.65 ___ __ \_________(_)________________________________
% 0.23/0.65 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.23/0.65 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.23/0.65 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.23/0.65
% 0.23/0.65 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.23/0.65 (2023-06-19)
% 0.23/0.65
% 0.23/0.65 (c) Philipp Rümmer, 2009-2023
% 0.23/0.65 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.23/0.65 Amanda Stjerna.
% 0.23/0.65 Free software under BSD-3-Clause.
% 0.23/0.65
% 0.23/0.65 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.23/0.65
% 0.23/0.65 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.23/0.66 Running up to 7 provers in parallel.
% 0.23/0.67 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.23/0.67 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.23/0.67 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.23/0.67 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.23/0.67 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.23/0.67 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.23/0.67 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 4.20/1.49 Prover 4: Preprocessing ...
% 4.20/1.49 Prover 1: Preprocessing ...
% 5.16/1.53 Prover 2: Preprocessing ...
% 5.16/1.53 Prover 6: Preprocessing ...
% 5.16/1.53 Prover 0: Preprocessing ...
% 5.16/1.53 Prover 3: Preprocessing ...
% 5.16/1.53 Prover 5: Preprocessing ...
% 13.82/2.64 Prover 5: Proving ...
% 14.41/2.77 Prover 1: Warning: ignoring some quantifiers
% 14.41/2.79 Prover 6: Proving ...
% 14.41/2.79 Prover 2: Proving ...
% 14.41/2.80 Prover 3: Warning: ignoring some quantifiers
% 14.41/2.88 Prover 3: Constructing countermodel ...
% 15.33/2.90 Prover 1: Constructing countermodel ...
% 24.15/4.10 Prover 4: Warning: ignoring some quantifiers
% 24.88/4.23 Prover 4: Constructing countermodel ...
% 27.26/4.43 Prover 0: Proving ...
% 72.72/10.36 Prover 2: stopped
% 72.82/10.38 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 73.54/10.59 Prover 7: Preprocessing ...
% 75.91/10.77 Prover 7: Warning: ignoring some quantifiers
% 75.91/10.78 Prover 7: Constructing countermodel ...
% 100.29/14.00 Prover 5: stopped
% 100.72/14.01 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 101.59/14.21 Prover 8: Preprocessing ...
% 103.17/14.37 Prover 8: Warning: ignoring some quantifiers
% 103.17/14.39 Prover 8: Constructing countermodel ...
% 115.83/16.01 Prover 1: stopped
% 115.83/16.02 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 116.60/16.18 Prover 9: Preprocessing ...
% 122.41/17.00 Prover 9: Warning: ignoring some quantifiers
% 122.41/17.06 Prover 9: Constructing countermodel ...
% 130.18/17.93 Prover 6: stopped
% 130.18/17.94 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 131.29/18.11 Prover 7: Found proof (size 73)
% 131.29/18.11 Prover 7: proved (7699ms)
% 131.29/18.11 Prover 3: stopped
% 131.29/18.11 Prover 8: stopped
% 131.29/18.13 Prover 9: stopped
% 131.29/18.13 Prover 4: stopped
% 131.76/18.14 Prover 0: stopped
% 131.76/18.16 Prover 10: Preprocessing ...
% 131.89/18.18 Prover 10: stopped
% 131.89/18.18
% 131.89/18.18 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 131.89/18.18
% 131.89/18.19 % SZS output start Proof for theBenchmark
% 131.89/18.20 Assumptions after simplification:
% 131.89/18.20 ---------------------------------
% 131.89/18.20
% 131.89/18.20 (cc2_setfam_1)
% 131.89/18.21 ! [v0: $i] : ( ~ $i(v0) | ~ v1_xboole_0(v0) | v2_setfam_1(v0))
% 131.89/18.21
% 131.89/18.21 (d41_functor0)
% 131.89/18.21 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 131.89/18.21 ~ v21_functor0(v2, v0, v1) | ~ v16_functor0(v2, v0, v1) | ~
% 131.89/18.21 m2_functor0(v2, v0, v1) | ~ v12_altcat_1(v1) | ~ v12_altcat_1(v0) | ~
% 131.89/18.21 v2_altcat_1(v1) | ~ v2_altcat_1(v0) | ~ l2_altcat_1(v1) | ~
% 131.89/18.21 l2_altcat_1(v0) | v3_struct_0(v1) | v3_struct_0(v0) | r2_functor0(v0, v1)) &
% 131.89/18.21 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ v12_altcat_1(v1) | ~
% 131.89/18.21 v12_altcat_1(v0) | ~ v2_altcat_1(v1) | ~ v2_altcat_1(v0) | ~
% 131.89/18.21 l2_altcat_1(v1) | ~ l2_altcat_1(v0) | ~ r2_functor0(v0, v1) |
% 131.89/18.21 v3_struct_0(v1) | v3_struct_0(v0) | ? [v2: $i] : ($i(v2) & v21_functor0(v2,
% 131.89/18.21 v0, v1) & v16_functor0(v2, v0, v1) & m2_functor0(v2, v0, v1)))
% 131.89/18.21
% 131.89/18.21 (dt_k4_waybel34)
% 132.19/18.24 ! [v0: $i] : ! [v1: $i] : ( ~ (k4_waybel34(v0) = v1) | ~ $i(v0) | ~
% 132.19/18.24 v3_struct_0(v1) | v1_xboole_0(v0)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 132.19/18.24 (k4_waybel34(v0) = v1) | ~ $i(v0) | v2_yellow21(v1) | v1_xboole_0(v0)) & !
% 132.19/18.24 [v0: $i] : ! [v1: $i] : ( ~ (k4_waybel34(v0) = v1) | ~ $i(v0) |
% 132.19/18.24 v11_altcat_1(v1) | v1_xboole_0(v0)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 132.19/18.24 (k4_waybel34(v0) = v1) | ~ $i(v0) | v12_altcat_1(v1) | v1_xboole_0(v0)) &
% 132.19/18.24 ! [v0: $i] : ! [v1: $i] : ( ~ (k4_waybel34(v0) = v1) | ~ $i(v0) |
% 132.19/18.24 v2_altcat_1(v1) | v1_xboole_0(v0)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 132.19/18.24 (k4_waybel34(v0) = v1) | ~ $i(v0) | v1_xboole_0(v0) | v6_altcat_1(v1)) & !
% 132.19/18.24 [v0: $i] : ! [v1: $i] : ( ~ (k4_waybel34(v0) = v1) | ~ $i(v0) |
% 132.19/18.24 v1_xboole_0(v0) | l2_altcat_1(v1))
% 132.19/18.24
% 132.19/18.24 (dt_k5_waybel34)
% 132.19/18.25 ! [v0: $i] : ! [v1: $i] : ( ~ (k5_waybel34(v0) = v1) | ~ $i(v0) | ~
% 132.19/18.25 v3_struct_0(v1) | v1_xboole_0(v0)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 132.19/18.25 (k5_waybel34(v0) = v1) | ~ $i(v0) | v2_yellow21(v1) | v1_xboole_0(v0)) & !
% 132.19/18.25 [v0: $i] : ! [v1: $i] : ( ~ (k5_waybel34(v0) = v1) | ~ $i(v0) |
% 132.19/18.25 v11_altcat_1(v1) | v1_xboole_0(v0)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 132.19/18.25 (k5_waybel34(v0) = v1) | ~ $i(v0) | v12_altcat_1(v1) | v1_xboole_0(v0)) &
% 132.19/18.25 ! [v0: $i] : ! [v1: $i] : ( ~ (k5_waybel34(v0) = v1) | ~ $i(v0) |
% 132.19/18.25 v2_altcat_1(v1) | v1_xboole_0(v0)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 132.19/18.25 (k5_waybel34(v0) = v1) | ~ $i(v0) | v1_xboole_0(v0) | v6_altcat_1(v1)) & !
% 132.19/18.25 [v0: $i] : ! [v1: $i] : ( ~ (k5_waybel34(v0) = v1) | ~ $i(v0) |
% 132.19/18.25 v1_xboole_0(v0) | l2_altcat_1(v1))
% 132.19/18.25
% 132.19/18.25 (dt_k6_waybel34)
% 132.19/18.25 ! [v0: $i] : ! [v1: $i] : ( ~ (k6_waybel34(v0) = v1) | ~ $i(v0) |
% 132.19/18.25 v2_setfam_1(v0) | ? [v2: $i] : ? [v3: $i] : (k5_waybel34(v0) = v3 &
% 132.19/18.25 k4_waybel34(v0) = v2 & $i(v3) & $i(v2) & v16_functor0(v1, v2, v3) &
% 132.19/18.25 m2_functor0(v1, v2, v3) & v9_functor0(v1, v2, v3))) & ! [v0: $i] : !
% 132.19/18.25 [v1: $i] : ( ~ (k5_waybel34(v0) = v1) | ~ $i(v0) | v2_setfam_1(v0) | ? [v2:
% 132.19/18.25 $i] : ? [v3: $i] : (k6_waybel34(v0) = v2 & k4_waybel34(v0) = v3 & $i(v3)
% 132.19/18.25 & $i(v2) & v16_functor0(v2, v3, v1) & m2_functor0(v2, v3, v1) &
% 132.19/18.25 v9_functor0(v2, v3, v1))) & ! [v0: $i] : ! [v1: $i] : ( ~
% 132.19/18.25 (k4_waybel34(v0) = v1) | ~ $i(v0) | v2_setfam_1(v0) | ? [v2: $i] : ? [v3:
% 132.19/18.25 $i] : (k6_waybel34(v0) = v2 & k5_waybel34(v0) = v3 & $i(v3) & $i(v2) &
% 132.19/18.25 v16_functor0(v2, v1, v3) & m2_functor0(v2, v1, v3) & v9_functor0(v2, v1,
% 132.19/18.25 v3)))
% 132.19/18.25
% 132.19/18.25 (fc5_waybel34)
% 132.19/18.26 ! [v0: $i] : ! [v1: $i] : ( ~ (k4_waybel34(v0) = v1) | ~ $i(v0) | ~
% 132.19/18.26 v3_struct_0(v1) | v2_setfam_1(v0)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 132.19/18.26 (k4_waybel34(v0) = v1) | ~ $i(v0) | v1_yellow21(v1) | v2_setfam_1(v0)) & !
% 132.19/18.26 [v0: $i] : ! [v1: $i] : ( ~ (k4_waybel34(v0) = v1) | ~ $i(v0) |
% 132.19/18.26 v4_yellow18(v1) | v2_setfam_1(v0)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 132.19/18.26 (k4_waybel34(v0) = v1) | ~ $i(v0) | v3_yellow18(v1) | v2_setfam_1(v0)) & !
% 132.19/18.26 [v0: $i] : ! [v1: $i] : ( ~ (k4_waybel34(v0) = v1) | ~ $i(v0) |
% 132.19/18.26 v2_yellow18(v1) | v2_setfam_1(v0)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 132.19/18.26 (k4_waybel34(v0) = v1) | ~ $i(v0) | v9_altcat_1(v1) | v2_setfam_1(v0)) & !
% 132.19/18.26 [v0: $i] : ! [v1: $i] : ( ~ (k4_waybel34(v0) = v1) | ~ $i(v0) |
% 132.19/18.26 v2_yellow21(v1) | v2_setfam_1(v0)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 132.19/18.26 (k4_waybel34(v0) = v1) | ~ $i(v0) | v1_altcat_2(v1) | v2_setfam_1(v0)) & !
% 132.19/18.26 [v0: $i] : ! [v1: $i] : ( ~ (k4_waybel34(v0) = v1) | ~ $i(v0) |
% 132.19/18.26 v3_yellow21(v1) | v2_setfam_1(v0)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 132.19/18.26 (k4_waybel34(v0) = v1) | ~ $i(v0) | v11_altcat_1(v1) | v2_setfam_1(v0)) &
% 132.19/18.26 ! [v0: $i] : ! [v1: $i] : ( ~ (k4_waybel34(v0) = v1) | ~ $i(v0) |
% 132.19/18.26 v12_altcat_1(v1) | v2_setfam_1(v0)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 132.19/18.26 (k4_waybel34(v0) = v1) | ~ $i(v0) | v2_altcat_1(v1) | v2_setfam_1(v0)) & !
% 132.19/18.26 [v0: $i] : ! [v1: $i] : ( ~ (k4_waybel34(v0) = v1) | ~ $i(v0) |
% 132.19/18.26 v6_altcat_1(v1) | v2_setfam_1(v0))
% 132.19/18.26
% 132.19/18.26 (fc6_waybel34)
% 132.19/18.26 ! [v0: $i] : ! [v1: $i] : ( ~ (k5_waybel34(v0) = v1) | ~ $i(v0) | ~
% 132.19/18.26 v3_struct_0(v1) | v2_setfam_1(v0)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 132.19/18.26 (k5_waybel34(v0) = v1) | ~ $i(v0) | v1_yellow21(v1) | v2_setfam_1(v0)) & !
% 132.19/18.26 [v0: $i] : ! [v1: $i] : ( ~ (k5_waybel34(v0) = v1) | ~ $i(v0) |
% 132.19/18.26 v4_yellow18(v1) | v2_setfam_1(v0)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 132.19/18.26 (k5_waybel34(v0) = v1) | ~ $i(v0) | v3_yellow18(v1) | v2_setfam_1(v0)) & !
% 132.19/18.26 [v0: $i] : ! [v1: $i] : ( ~ (k5_waybel34(v0) = v1) | ~ $i(v0) |
% 132.19/18.26 v2_yellow18(v1) | v2_setfam_1(v0)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 132.19/18.26 (k5_waybel34(v0) = v1) | ~ $i(v0) | v9_altcat_1(v1) | v2_setfam_1(v0)) & !
% 132.19/18.26 [v0: $i] : ! [v1: $i] : ( ~ (k5_waybel34(v0) = v1) | ~ $i(v0) |
% 132.19/18.26 v2_yellow21(v1) | v2_setfam_1(v0)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 132.19/18.26 (k5_waybel34(v0) = v1) | ~ $i(v0) | v1_altcat_2(v1) | v2_setfam_1(v0)) & !
% 132.19/18.26 [v0: $i] : ! [v1: $i] : ( ~ (k5_waybel34(v0) = v1) | ~ $i(v0) |
% 132.19/18.26 v3_yellow21(v1) | v2_setfam_1(v0)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 132.19/18.26 (k5_waybel34(v0) = v1) | ~ $i(v0) | v11_altcat_1(v1) | v2_setfam_1(v0)) &
% 132.19/18.26 ! [v0: $i] : ! [v1: $i] : ( ~ (k5_waybel34(v0) = v1) | ~ $i(v0) |
% 132.19/18.26 v12_altcat_1(v1) | v2_setfam_1(v0)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 132.19/18.26 (k5_waybel34(v0) = v1) | ~ $i(v0) | v2_altcat_1(v1) | v2_setfam_1(v0)) & !
% 132.19/18.26 [v0: $i] : ! [v1: $i] : ( ~ (k5_waybel34(v0) = v1) | ~ $i(v0) |
% 132.19/18.26 v6_altcat_1(v1) | v2_setfam_1(v0))
% 132.19/18.26
% 132.19/18.26 (fc7_waybel34)
% 132.19/18.27 ! [v0: $i] : ! [v1: $i] : ( ~ (k6_waybel34(v0) = v1) | ~ $i(v0) |
% 132.19/18.27 v2_setfam_1(v0) | ? [v2: $i] : ? [v3: $i] : (k5_waybel34(v0) = v3 &
% 132.19/18.27 k4_waybel34(v0) = v2 & $i(v3) & $i(v2) & v21_functor0(v1, v2, v3) &
% 132.19/18.27 v14_functor0(v1, v2, v3) & v16_functor0(v1, v2, v3) & v6_functor0(v1, v2,
% 132.19/18.27 v3) & v11_functor0(v1, v2, v3) & v12_functor0(v1, v2, v3) &
% 132.19/18.27 v8_functor0(v1, v2, v3) & v9_functor0(v1, v2, v3))) & ! [v0: $i] : !
% 132.19/18.27 [v1: $i] : ( ~ (k5_waybel34(v0) = v1) | ~ $i(v0) | v2_setfam_1(v0) | ? [v2:
% 132.19/18.27 $i] : ? [v3: $i] : (k6_waybel34(v0) = v2 & k4_waybel34(v0) = v3 & $i(v3)
% 132.19/18.27 & $i(v2) & v21_functor0(v2, v3, v1) & v14_functor0(v2, v3, v1) &
% 132.19/18.27 v16_functor0(v2, v3, v1) & v6_functor0(v2, v3, v1) & v11_functor0(v2, v3,
% 132.19/18.27 v1) & v12_functor0(v2, v3, v1) & v8_functor0(v2, v3, v1) &
% 132.19/18.27 v9_functor0(v2, v3, v1))) & ! [v0: $i] : ! [v1: $i] : ( ~
% 132.19/18.27 (k4_waybel34(v0) = v1) | ~ $i(v0) | v2_setfam_1(v0) | ? [v2: $i] : ? [v3:
% 132.19/18.27 $i] : (k6_waybel34(v0) = v2 & k5_waybel34(v0) = v3 & $i(v3) & $i(v2) &
% 132.19/18.27 v21_functor0(v2, v1, v3) & v14_functor0(v2, v1, v3) & v16_functor0(v2, v1,
% 132.19/18.27 v3) & v6_functor0(v2, v1, v3) & v11_functor0(v2, v1, v3) &
% 132.19/18.27 v12_functor0(v2, v1, v3) & v8_functor0(v2, v1, v3) & v9_functor0(v2, v1,
% 132.19/18.27 v3)))
% 132.19/18.27
% 132.19/18.27 (rc9_functor0)
% 132.19/18.27 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ v12_altcat_1(v1) | ~
% 132.19/18.27 v12_altcat_1(v0) | ~ l2_altcat_1(v1) | ~ l2_altcat_1(v0) | v3_struct_0(v1)
% 132.19/18.27 | v3_struct_0(v0) | ? [v2: $i] : ($i(v2) & v6_functor0(v2, v0, v1) &
% 132.19/18.27 v12_functor0(v2, v0, v1) & v8_functor0(v2, v0, v1) & v9_functor0(v2, v0,
% 132.19/18.27 v1) & l2_functor0(v2, v0, v1)))
% 132.19/18.27
% 132.19/18.27 (t20_waybel34)
% 132.19/18.27 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (k5_waybel34(v0) = v2 &
% 132.19/18.27 k4_waybel34(v0) = v1 & $i(v2) & $i(v1) & $i(v0) & ~ r2_functor0(v1, v2) &
% 132.19/18.27 ~ v2_setfam_1(v0))
% 132.19/18.27
% 132.19/18.27 (function-axioms)
% 132.19/18.28 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 132.19/18.28 $i] : (v1 = v0 | ~ (g2_functor0(v5, v4, v3, v2) = v1) | ~ (g2_functor0(v5,
% 132.19/18.28 v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 132.19/18.28 $i] : ! [v4: $i] : (v1 = v0 | ~ (k3_zfmisc_1(v4, v3, v2) = v1) | ~
% 132.19/18.28 (k3_zfmisc_1(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 132.19/18.28 ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (k3_altcat_1(v4, v3, v2) = v1) | ~
% 132.19/18.28 (k3_altcat_1(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 132.19/18.28 ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (u2_functor0(v4, v3, v2) = v1) | ~
% 132.19/18.28 (u2_functor0(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 132.19/18.28 ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (u1_functor0(v4, v3, v2) = v1) | ~
% 132.19/18.28 (u1_functor0(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 132.19/18.28 ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (g2_altcat_1(v4, v3, v2) = v1) | ~
% 132.19/18.28 (g2_altcat_1(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 132.19/18.28 ! [v3: $i] : (v1 = v0 | ~ (k2_altcat_1(v3, v2) = v1) | ~ (k2_altcat_1(v3,
% 132.19/18.28 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1
% 132.19/18.28 = v0 | ~ (k2_zfmisc_1(v3, v2) = v1) | ~ (k2_zfmisc_1(v3, v2) = v0)) & !
% 132.19/18.28 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (k6_waybel34(v2) = v1) |
% 132.19/18.28 ~ (k6_waybel34(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 132.19/18.28 v0 | ~ (k5_waybel34(v2) = v1) | ~ (k5_waybel34(v2) = v0)) & ! [v0: $i] :
% 132.19/18.28 ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (k4_waybel34(v2) = v1) | ~
% 132.19/18.28 (k4_waybel34(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0
% 132.19/18.28 | ~ (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0)) & ! [v0: $i] : !
% 132.19/18.28 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (u2_altcat_1(v2) = v1) | ~
% 132.19/18.28 (u2_altcat_1(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0
% 132.19/18.28 | ~ (u1_struct_0(v2) = v1) | ~ (u1_struct_0(v2) = v0)) & ! [v0: $i] : !
% 132.19/18.28 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (u1_altcat_1(v2) = v1) | ~
% 132.19/18.28 (u1_altcat_1(v2) = v0))
% 132.19/18.28
% 132.19/18.28 Further assumptions not needed in the proof:
% 132.19/18.28 --------------------------------------------
% 132.19/18.28 abstractness_v6_altcat_1, abstractness_v9_functor0, antisymmetry_r2_hidden,
% 132.19/18.28 cc10_membered, cc11_membered, cc12_membered, cc13_membered, cc14_membered,
% 132.19/18.28 cc15_membered, cc16_membered, cc17_membered, cc18_membered, cc19_membered,
% 132.19/18.28 cc1_finset_1, cc1_funct_1, cc1_functor0, cc1_functor2, cc1_membered,
% 132.19/18.28 cc1_relset_1, cc1_yellow21, cc20_membered, cc2_finset_1, cc2_funct_1,
% 132.19/18.28 cc2_functor0, cc2_membered, cc2_yellow21, cc3_membered, cc4_functor0,
% 132.19/18.28 cc4_functor2, cc4_membered, cc5_functor2, cc6_functor0, dt_g2_altcat_1,
% 132.19/18.28 dt_g2_functor0, dt_k1_xboole_0, dt_k1_zfmisc_1, dt_k2_altcat_1, dt_k2_zfmisc_1,
% 132.19/18.28 dt_k3_altcat_1, dt_k3_zfmisc_1, dt_l1_altcat_1, dt_l1_functor0, dt_l1_struct_0,
% 132.19/18.28 dt_l2_altcat_1, dt_l2_functor0, dt_m1_functor0, dt_m1_pboole, dt_m1_relset_1,
% 132.19/18.28 dt_m1_subset_1, dt_m2_functor0, dt_m2_relset_1, dt_m3_pboole, dt_u1_altcat_1,
% 132.19/18.28 dt_u1_functor0, dt_u1_struct_0, dt_u2_altcat_1, dt_u2_functor0,
% 132.19/18.28 existence_l1_altcat_1, existence_l1_functor0, existence_l1_struct_0,
% 132.19/18.28 existence_l2_altcat_1, existence_l2_functor0, existence_m1_functor0,
% 132.19/18.28 existence_m1_pboole, existence_m1_relset_1, existence_m1_subset_1,
% 132.19/18.28 existence_m2_functor0, existence_m2_relset_1, existence_m3_pboole,
% 132.19/18.28 fc14_finset_1, fc15_finset_1, fc1_struct_0, fc6_membered, fc7_functor0,
% 132.19/18.28 free_g2_altcat_1, free_g2_functor0, rc1_finset_1, rc1_funct_1, rc1_membered,
% 132.19/18.28 rc1_yellow21, rc2_funct_1, rc2_setfam_1, rc3_finset_1, rc3_funct_1,
% 132.19/18.28 rc3_functor0, rc3_setfam_1, rc3_struct_0, rc4_finset_1, rc5_functor0,
% 132.19/18.28 rc5_struct_0, rc7_functor0, rc8_functor0, redefinition_m2_relset_1,
% 132.19/18.28 reflexivity_r1_tarski, symmetry_r2_functor0, t1_subset, t2_subset, t3_subset,
% 132.19/18.28 t4_subset, t5_subset, t6_boole, t7_boole, t8_boole
% 132.19/18.28
% 132.19/18.28 Those formulas are unsatisfiable:
% 132.19/18.28 ---------------------------------
% 132.19/18.28
% 132.19/18.28 Begin of proof
% 132.19/18.28 |
% 132.19/18.28 | ALPHA: (d41_functor0) implies:
% 132.19/18.28 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~
% 132.19/18.28 | $i(v0) | ~ v21_functor0(v2, v0, v1) | ~ v16_functor0(v2, v0, v1) |
% 132.19/18.28 | ~ m2_functor0(v2, v0, v1) | ~ v12_altcat_1(v1) | ~ v12_altcat_1(v0)
% 132.19/18.28 | | ~ v2_altcat_1(v1) | ~ v2_altcat_1(v0) | ~ l2_altcat_1(v1) | ~
% 132.19/18.28 | l2_altcat_1(v0) | v3_struct_0(v1) | v3_struct_0(v0) | r2_functor0(v0,
% 132.19/18.28 | v1))
% 132.19/18.28 |
% 132.19/18.28 | ALPHA: (dt_k4_waybel34) implies:
% 132.19/18.28 | (2) ! [v0: $i] : ! [v1: $i] : ( ~ (k4_waybel34(v0) = v1) | ~ $i(v0) |
% 132.19/18.28 | v1_xboole_0(v0) | l2_altcat_1(v1))
% 132.19/18.28 |
% 132.19/18.28 | ALPHA: (dt_k5_waybel34) implies:
% 132.19/18.28 | (3) ! [v0: $i] : ! [v1: $i] : ( ~ (k5_waybel34(v0) = v1) | ~ $i(v0) |
% 132.19/18.28 | v1_xboole_0(v0) | l2_altcat_1(v1))
% 132.19/18.28 |
% 132.19/18.28 | ALPHA: (dt_k6_waybel34) implies:
% 132.19/18.28 | (4) ! [v0: $i] : ! [v1: $i] : ( ~ (k4_waybel34(v0) = v1) | ~ $i(v0) |
% 132.19/18.28 | v2_setfam_1(v0) | ? [v2: $i] : ? [v3: $i] : (k6_waybel34(v0) = v2 &
% 132.19/18.28 | k5_waybel34(v0) = v3 & $i(v3) & $i(v2) & v16_functor0(v2, v1, v3) &
% 132.19/18.28 | m2_functor0(v2, v1, v3) & v9_functor0(v2, v1, v3)))
% 132.19/18.28 | (5) ! [v0: $i] : ! [v1: $i] : ( ~ (k5_waybel34(v0) = v1) | ~ $i(v0) |
% 132.19/18.28 | v2_setfam_1(v0) | ? [v2: $i] : ? [v3: $i] : (k6_waybel34(v0) = v2 &
% 132.19/18.28 | k4_waybel34(v0) = v3 & $i(v3) & $i(v2) & v16_functor0(v2, v3, v1) &
% 132.19/18.28 | m2_functor0(v2, v3, v1) & v9_functor0(v2, v3, v1)))
% 132.19/18.28 |
% 132.19/18.28 | ALPHA: (fc5_waybel34) implies:
% 132.19/18.29 | (6) ! [v0: $i] : ! [v1: $i] : ( ~ (k4_waybel34(v0) = v1) | ~ $i(v0) |
% 132.19/18.29 | v2_altcat_1(v1) | v2_setfam_1(v0))
% 132.19/18.29 | (7) ! [v0: $i] : ! [v1: $i] : ( ~ (k4_waybel34(v0) = v1) | ~ $i(v0) |
% 132.19/18.29 | v12_altcat_1(v1) | v2_setfam_1(v0))
% 132.19/18.29 | (8) ! [v0: $i] : ! [v1: $i] : ( ~ (k4_waybel34(v0) = v1) | ~ $i(v0) | ~
% 132.19/18.29 | v3_struct_0(v1) | v2_setfam_1(v0))
% 132.19/18.29 |
% 132.19/18.29 | ALPHA: (fc6_waybel34) implies:
% 132.19/18.29 | (9) ! [v0: $i] : ! [v1: $i] : ( ~ (k5_waybel34(v0) = v1) | ~ $i(v0) |
% 132.19/18.29 | v2_altcat_1(v1) | v2_setfam_1(v0))
% 132.19/18.29 | (10) ! [v0: $i] : ! [v1: $i] : ( ~ (k5_waybel34(v0) = v1) | ~ $i(v0) |
% 132.19/18.29 | v12_altcat_1(v1) | v2_setfam_1(v0))
% 132.19/18.29 | (11) ! [v0: $i] : ! [v1: $i] : ( ~ (k5_waybel34(v0) = v1) | ~ $i(v0) |
% 132.19/18.29 | ~ v3_struct_0(v1) | v2_setfam_1(v0))
% 132.19/18.29 |
% 132.19/18.29 | ALPHA: (fc7_waybel34) implies:
% 132.19/18.29 | (12) ! [v0: $i] : ! [v1: $i] : ( ~ (k4_waybel34(v0) = v1) | ~ $i(v0) |
% 132.19/18.29 | v2_setfam_1(v0) | ? [v2: $i] : ? [v3: $i] : (k6_waybel34(v0) = v2
% 132.19/18.29 | & k5_waybel34(v0) = v3 & $i(v3) & $i(v2) & v21_functor0(v2, v1,
% 132.19/18.29 | v3) & v14_functor0(v2, v1, v3) & v16_functor0(v2, v1, v3) &
% 132.19/18.29 | v6_functor0(v2, v1, v3) & v11_functor0(v2, v1, v3) &
% 132.19/18.29 | v12_functor0(v2, v1, v3) & v8_functor0(v2, v1, v3) &
% 132.19/18.29 | v9_functor0(v2, v1, v3)))
% 132.19/18.29 | (13) ! [v0: $i] : ! [v1: $i] : ( ~ (k5_waybel34(v0) = v1) | ~ $i(v0) |
% 132.19/18.29 | v2_setfam_1(v0) | ? [v2: $i] : ? [v3: $i] : (k6_waybel34(v0) = v2
% 132.19/18.29 | & k4_waybel34(v0) = v3 & $i(v3) & $i(v2) & v21_functor0(v2, v3,
% 132.19/18.29 | v1) & v14_functor0(v2, v3, v1) & v16_functor0(v2, v3, v1) &
% 132.19/18.29 | v6_functor0(v2, v3, v1) & v11_functor0(v2, v3, v1) &
% 132.19/18.29 | v12_functor0(v2, v3, v1) & v8_functor0(v2, v3, v1) &
% 132.19/18.29 | v9_functor0(v2, v3, v1)))
% 132.19/18.29 |
% 132.19/18.29 | ALPHA: (function-axioms) implies:
% 132.19/18.29 | (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 132.19/18.29 | (k4_waybel34(v2) = v1) | ~ (k4_waybel34(v2) = v0))
% 132.19/18.29 | (15) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 132.19/18.29 | (k5_waybel34(v2) = v1) | ~ (k5_waybel34(v2) = v0))
% 132.19/18.29 | (16) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 132.19/18.29 | (k6_waybel34(v2) = v1) | ~ (k6_waybel34(v2) = v0))
% 132.19/18.29 |
% 132.19/18.29 | DELTA: instantiating (t20_waybel34) with fresh symbols all_116_0, all_116_1,
% 132.19/18.29 | all_116_2 gives:
% 132.19/18.29 | (17) k5_waybel34(all_116_2) = all_116_0 & k4_waybel34(all_116_2) =
% 132.19/18.29 | all_116_1 & $i(all_116_0) & $i(all_116_1) & $i(all_116_2) & ~
% 132.19/18.29 | r2_functor0(all_116_1, all_116_0) & ~ v2_setfam_1(all_116_2)
% 132.19/18.29 |
% 132.19/18.29 | ALPHA: (17) implies:
% 132.19/18.29 | (18) ~ v2_setfam_1(all_116_2)
% 132.19/18.29 | (19) ~ r2_functor0(all_116_1, all_116_0)
% 132.19/18.29 | (20) $i(all_116_2)
% 132.19/18.29 | (21) k4_waybel34(all_116_2) = all_116_1
% 132.19/18.30 | (22) k5_waybel34(all_116_2) = all_116_0
% 132.19/18.30 |
% 132.19/18.30 | GROUND_INST: instantiating (7) with all_116_2, all_116_1, simplifying with
% 132.19/18.30 | (18), (20), (21) gives:
% 132.19/18.30 | (23) v12_altcat_1(all_116_1)
% 132.19/18.30 |
% 132.19/18.30 | GROUND_INST: instantiating (6) with all_116_2, all_116_1, simplifying with
% 132.19/18.30 | (18), (20), (21) gives:
% 132.19/18.30 | (24) v2_altcat_1(all_116_1)
% 132.19/18.30 |
% 132.19/18.30 | GROUND_INST: instantiating (2) with all_116_2, all_116_1, simplifying with
% 132.19/18.30 | (20), (21) gives:
% 132.19/18.30 | (25) v1_xboole_0(all_116_2) | l2_altcat_1(all_116_1)
% 132.19/18.30 |
% 132.19/18.30 | GROUND_INST: instantiating (12) with all_116_2, all_116_1, simplifying with
% 132.19/18.30 | (18), (20), (21) gives:
% 132.19/18.30 | (26) ? [v0: $i] : ? [v1: $i] : (k6_waybel34(all_116_2) = v0 &
% 132.19/18.30 | k5_waybel34(all_116_2) = v1 & $i(v1) & $i(v0) & v21_functor0(v0,
% 132.19/18.30 | all_116_1, v1) & v14_functor0(v0, all_116_1, v1) &
% 132.19/18.30 | v16_functor0(v0, all_116_1, v1) & v6_functor0(v0, all_116_1, v1) &
% 132.19/18.30 | v11_functor0(v0, all_116_1, v1) & v12_functor0(v0, all_116_1, v1) &
% 132.19/18.30 | v8_functor0(v0, all_116_1, v1) & v9_functor0(v0, all_116_1, v1))
% 132.19/18.30 |
% 132.19/18.30 | GROUND_INST: instantiating (4) with all_116_2, all_116_1, simplifying with
% 132.19/18.30 | (18), (20), (21) gives:
% 132.19/18.30 | (27) ? [v0: $i] : ? [v1: $i] : (k6_waybel34(all_116_2) = v0 &
% 132.19/18.30 | k5_waybel34(all_116_2) = v1 & $i(v1) & $i(v0) & v16_functor0(v0,
% 132.19/18.30 | all_116_1, v1) & m2_functor0(v0, all_116_1, v1) & v9_functor0(v0,
% 132.19/18.30 | all_116_1, v1))
% 132.19/18.30 |
% 132.19/18.30 | GROUND_INST: instantiating (10) with all_116_2, all_116_0, simplifying with
% 132.19/18.30 | (18), (20), (22) gives:
% 132.19/18.30 | (28) v12_altcat_1(all_116_0)
% 132.19/18.30 |
% 132.19/18.30 | GROUND_INST: instantiating (9) with all_116_2, all_116_0, simplifying with
% 132.19/18.30 | (18), (20), (22) gives:
% 132.19/18.30 | (29) v2_altcat_1(all_116_0)
% 132.19/18.30 |
% 132.19/18.30 | GROUND_INST: instantiating (3) with all_116_2, all_116_0, simplifying with
% 132.19/18.30 | (20), (22) gives:
% 132.19/18.30 | (30) v1_xboole_0(all_116_2) | l2_altcat_1(all_116_0)
% 132.19/18.30 |
% 132.19/18.30 | GROUND_INST: instantiating (13) with all_116_2, all_116_0, simplifying with
% 132.19/18.30 | (18), (20), (22) gives:
% 132.19/18.30 | (31) ? [v0: $i] : ? [v1: $i] : (k6_waybel34(all_116_2) = v0 &
% 132.19/18.30 | k4_waybel34(all_116_2) = v1 & $i(v1) & $i(v0) & v21_functor0(v0, v1,
% 132.19/18.30 | all_116_0) & v14_functor0(v0, v1, all_116_0) & v16_functor0(v0,
% 132.19/18.30 | v1, all_116_0) & v6_functor0(v0, v1, all_116_0) & v11_functor0(v0,
% 132.19/18.30 | v1, all_116_0) & v12_functor0(v0, v1, all_116_0) & v8_functor0(v0,
% 132.19/18.30 | v1, all_116_0) & v9_functor0(v0, v1, all_116_0))
% 132.19/18.30 |
% 132.19/18.30 | GROUND_INST: instantiating (5) with all_116_2, all_116_0, simplifying with
% 132.19/18.30 | (18), (20), (22) gives:
% 132.19/18.30 | (32) ? [v0: $i] : ? [v1: $i] : (k6_waybel34(all_116_2) = v0 &
% 132.19/18.30 | k4_waybel34(all_116_2) = v1 & $i(v1) & $i(v0) & v16_functor0(v0, v1,
% 132.19/18.30 | all_116_0) & m2_functor0(v0, v1, all_116_0) & v9_functor0(v0, v1,
% 132.19/18.30 | all_116_0))
% 132.19/18.30 |
% 132.19/18.30 | DELTA: instantiating (27) with fresh symbols all_148_0, all_148_1 gives:
% 132.19/18.30 | (33) k6_waybel34(all_116_2) = all_148_1 & k5_waybel34(all_116_2) =
% 132.19/18.30 | all_148_0 & $i(all_148_0) & $i(all_148_1) & v16_functor0(all_148_1,
% 132.19/18.30 | all_116_1, all_148_0) & m2_functor0(all_148_1, all_116_1, all_148_0)
% 132.19/18.30 | & v9_functor0(all_148_1, all_116_1, all_148_0)
% 132.19/18.30 |
% 132.19/18.30 | ALPHA: (33) implies:
% 132.19/18.30 | (34) m2_functor0(all_148_1, all_116_1, all_148_0)
% 132.19/18.30 | (35) v16_functor0(all_148_1, all_116_1, all_148_0)
% 132.19/18.30 | (36) $i(all_148_0)
% 132.19/18.30 | (37) k5_waybel34(all_116_2) = all_148_0
% 132.19/18.31 | (38) k6_waybel34(all_116_2) = all_148_1
% 132.19/18.31 |
% 132.19/18.31 | DELTA: instantiating (32) with fresh symbols all_150_0, all_150_1 gives:
% 132.19/18.31 | (39) k6_waybel34(all_116_2) = all_150_1 & k4_waybel34(all_116_2) =
% 132.19/18.31 | all_150_0 & $i(all_150_0) & $i(all_150_1) & v16_functor0(all_150_1,
% 132.19/18.31 | all_150_0, all_116_0) & m2_functor0(all_150_1, all_150_0, all_116_0)
% 132.19/18.31 | & v9_functor0(all_150_1, all_150_0, all_116_0)
% 132.19/18.31 |
% 132.19/18.31 | ALPHA: (39) implies:
% 132.19/18.31 | (40) $i(all_150_1)
% 132.19/18.31 | (41) $i(all_150_0)
% 132.19/18.31 | (42) k4_waybel34(all_116_2) = all_150_0
% 132.19/18.31 | (43) k6_waybel34(all_116_2) = all_150_1
% 132.19/18.31 |
% 132.19/18.31 | DELTA: instantiating (26) with fresh symbols all_152_0, all_152_1 gives:
% 132.19/18.31 | (44) k6_waybel34(all_116_2) = all_152_1 & k5_waybel34(all_116_2) =
% 132.19/18.31 | all_152_0 & $i(all_152_0) & $i(all_152_1) & v21_functor0(all_152_1,
% 132.19/18.31 | all_116_1, all_152_0) & v14_functor0(all_152_1, all_116_1,
% 132.19/18.31 | all_152_0) & v16_functor0(all_152_1, all_116_1, all_152_0) &
% 132.19/18.31 | v6_functor0(all_152_1, all_116_1, all_152_0) & v11_functor0(all_152_1,
% 132.19/18.31 | all_116_1, all_152_0) & v12_functor0(all_152_1, all_116_1,
% 132.19/18.31 | all_152_0) & v8_functor0(all_152_1, all_116_1, all_152_0) &
% 132.19/18.31 | v9_functor0(all_152_1, all_116_1, all_152_0)
% 132.19/18.31 |
% 132.19/18.31 | ALPHA: (44) implies:
% 132.19/18.31 | (45) v21_functor0(all_152_1, all_116_1, all_152_0)
% 132.19/18.31 | (46) k5_waybel34(all_116_2) = all_152_0
% 132.19/18.31 | (47) k6_waybel34(all_116_2) = all_152_1
% 132.19/18.31 |
% 132.19/18.31 | DELTA: instantiating (31) with fresh symbols all_154_0, all_154_1 gives:
% 132.19/18.31 | (48) k6_waybel34(all_116_2) = all_154_1 & k4_waybel34(all_116_2) =
% 132.19/18.31 | all_154_0 & $i(all_154_0) & $i(all_154_1) & v21_functor0(all_154_1,
% 132.19/18.31 | all_154_0, all_116_0) & v14_functor0(all_154_1, all_154_0,
% 132.19/18.31 | all_116_0) & v16_functor0(all_154_1, all_154_0, all_116_0) &
% 132.19/18.31 | v6_functor0(all_154_1, all_154_0, all_116_0) & v11_functor0(all_154_1,
% 132.19/18.31 | all_154_0, all_116_0) & v12_functor0(all_154_1, all_154_0,
% 132.19/18.31 | all_116_0) & v8_functor0(all_154_1, all_154_0, all_116_0) &
% 132.19/18.31 | v9_functor0(all_154_1, all_154_0, all_116_0)
% 132.19/18.31 |
% 132.19/18.31 | ALPHA: (48) implies:
% 132.19/18.31 | (49) k4_waybel34(all_116_2) = all_154_0
% 132.19/18.31 | (50) k6_waybel34(all_116_2) = all_154_1
% 132.19/18.31 |
% 132.19/18.31 | GROUND_INST: instantiating (14) with all_116_1, all_154_0, all_116_2,
% 132.19/18.31 | simplifying with (21), (49) gives:
% 132.19/18.31 | (51) all_154_0 = all_116_1
% 132.19/18.31 |
% 132.19/18.31 | GROUND_INST: instantiating (14) with all_150_0, all_154_0, all_116_2,
% 132.19/18.31 | simplifying with (42), (49) gives:
% 132.19/18.31 | (52) all_154_0 = all_150_0
% 132.19/18.31 |
% 132.19/18.31 | GROUND_INST: instantiating (15) with all_116_0, all_152_0, all_116_2,
% 132.19/18.31 | simplifying with (22), (46) gives:
% 132.19/18.31 | (53) all_152_0 = all_116_0
% 132.19/18.31 |
% 132.19/18.31 | GROUND_INST: instantiating (15) with all_148_0, all_152_0, all_116_2,
% 132.19/18.31 | simplifying with (37), (46) gives:
% 132.19/18.31 | (54) all_152_0 = all_148_0
% 132.19/18.31 |
% 132.19/18.31 | GROUND_INST: instantiating (16) with all_152_1, all_154_1, all_116_2,
% 132.19/18.31 | simplifying with (47), (50) gives:
% 132.19/18.31 | (55) all_154_1 = all_152_1
% 132.19/18.31 |
% 132.19/18.31 | GROUND_INST: instantiating (16) with all_150_1, all_154_1, all_116_2,
% 132.19/18.31 | simplifying with (43), (50) gives:
% 132.19/18.31 | (56) all_154_1 = all_150_1
% 132.19/18.31 |
% 132.19/18.31 | GROUND_INST: instantiating (16) with all_148_1, all_154_1, all_116_2,
% 132.19/18.31 | simplifying with (38), (50) gives:
% 132.19/18.31 | (57) all_154_1 = all_148_1
% 132.19/18.31 |
% 132.19/18.31 | COMBINE_EQS: (51), (52) imply:
% 132.19/18.31 | (58) all_150_0 = all_116_1
% 132.19/18.31 |
% 132.19/18.31 | COMBINE_EQS: (55), (57) imply:
% 132.19/18.31 | (59) all_152_1 = all_148_1
% 132.19/18.31 |
% 132.19/18.31 | COMBINE_EQS: (55), (56) imply:
% 132.19/18.31 | (60) all_152_1 = all_150_1
% 132.19/18.31 |
% 132.19/18.31 | COMBINE_EQS: (53), (54) imply:
% 132.19/18.31 | (61) all_148_0 = all_116_0
% 132.19/18.31 |
% 132.19/18.31 | SIMP: (61) implies:
% 132.19/18.31 | (62) all_148_0 = all_116_0
% 132.19/18.31 |
% 132.19/18.31 | COMBINE_EQS: (59), (60) imply:
% 132.19/18.31 | (63) all_150_1 = all_148_1
% 132.19/18.31 |
% 132.19/18.31 | SIMP: (63) implies:
% 132.19/18.31 | (64) all_150_1 = all_148_1
% 132.19/18.31 |
% 132.19/18.31 | REDUCE: (41), (58) imply:
% 132.19/18.31 | (65) $i(all_116_1)
% 132.19/18.31 |
% 132.19/18.31 | REDUCE: (40), (64) imply:
% 132.19/18.31 | (66) $i(all_148_1)
% 132.19/18.31 |
% 132.19/18.31 | REDUCE: (36), (62) imply:
% 132.19/18.32 | (67) $i(all_116_0)
% 132.19/18.32 |
% 132.19/18.32 | REDUCE: (45), (53), (59) imply:
% 132.19/18.32 | (68) v21_functor0(all_148_1, all_116_1, all_116_0)
% 132.19/18.32 |
% 132.19/18.32 | REDUCE: (35), (62) imply:
% 132.19/18.32 | (69) v16_functor0(all_148_1, all_116_1, all_116_0)
% 132.19/18.32 |
% 132.19/18.32 | REDUCE: (34), (62) imply:
% 132.19/18.32 | (70) m2_functor0(all_148_1, all_116_1, all_116_0)
% 132.19/18.32 |
% 132.19/18.32 | GROUND_INST: instantiating (rc9_functor0) with all_116_0, all_116_0,
% 132.19/18.32 | simplifying with (28), (67) gives:
% 132.19/18.32 | (71) ~ l2_altcat_1(all_116_0) | v3_struct_0(all_116_0) | ? [v0: $i] :
% 132.19/18.32 | ($i(v0) & v6_functor0(v0, all_116_0, all_116_0) & v12_functor0(v0,
% 132.19/18.32 | all_116_0, all_116_0) & v8_functor0(v0, all_116_0, all_116_0) &
% 132.19/18.32 | v9_functor0(v0, all_116_0, all_116_0) & l2_functor0(v0, all_116_0,
% 132.19/18.32 | all_116_0))
% 132.19/18.32 |
% 132.19/18.32 | BETA: splitting (30) gives:
% 132.19/18.32 |
% 132.19/18.32 | Case 1:
% 132.19/18.32 | |
% 132.19/18.32 | | (72) v1_xboole_0(all_116_2)
% 132.19/18.32 | |
% 132.19/18.32 | | GROUND_INST: instantiating (cc2_setfam_1) with all_116_2, simplifying with
% 132.19/18.32 | | (18), (20), (72) gives:
% 132.19/18.32 | | (73) $false
% 132.19/18.32 | |
% 132.19/18.32 | | CLOSE: (73) is inconsistent.
% 132.19/18.32 | |
% 132.19/18.32 | Case 2:
% 132.19/18.32 | |
% 132.19/18.32 | | (74) l2_altcat_1(all_116_0)
% 132.19/18.32 | |
% 132.19/18.32 | | BETA: splitting (25) gives:
% 132.19/18.32 | |
% 132.19/18.32 | | Case 1:
% 132.19/18.32 | | |
% 132.19/18.32 | | | (75) v1_xboole_0(all_116_2)
% 132.19/18.32 | | |
% 132.19/18.32 | | | GROUND_INST: instantiating (cc2_setfam_1) with all_116_2, simplifying with
% 132.19/18.32 | | | (18), (20), (75) gives:
% 132.19/18.32 | | | (76) $false
% 132.19/18.32 | | |
% 132.19/18.32 | | | CLOSE: (76) is inconsistent.
% 132.19/18.32 | | |
% 132.19/18.32 | | Case 2:
% 132.19/18.32 | | |
% 132.19/18.32 | | | (77) l2_altcat_1(all_116_1)
% 132.19/18.32 | | |
% 132.19/18.32 | | | BETA: splitting (71) gives:
% 132.19/18.32 | | |
% 132.19/18.32 | | | Case 1:
% 132.19/18.32 | | | |
% 132.19/18.32 | | | | (78) ~ l2_altcat_1(all_116_0)
% 132.19/18.32 | | | |
% 132.19/18.32 | | | | PRED_UNIFY: (74), (78) imply:
% 132.19/18.32 | | | | (79) $false
% 132.19/18.32 | | | |
% 132.19/18.32 | | | | CLOSE: (79) is inconsistent.
% 132.19/18.32 | | | |
% 132.19/18.32 | | | Case 2:
% 132.19/18.32 | | | |
% 132.19/18.32 | | | |
% 132.19/18.32 | | | | GROUND_INST: instantiating (1) with all_116_1, all_116_0, all_148_1,
% 132.19/18.32 | | | | simplifying with (19), (23), (24), (28), (29), (65), (66),
% 132.19/18.32 | | | | (67), (68), (69), (70), (74), (77) gives:
% 132.19/18.32 | | | | (80) v3_struct_0(all_116_0) | v3_struct_0(all_116_1)
% 132.19/18.32 | | | |
% 132.19/18.32 | | | | BETA: splitting (80) gives:
% 132.19/18.32 | | | |
% 132.19/18.32 | | | | Case 1:
% 132.19/18.32 | | | | |
% 132.19/18.32 | | | | | (81) v3_struct_0(all_116_0)
% 132.19/18.32 | | | | |
% 132.19/18.32 | | | | | GROUND_INST: instantiating (11) with all_116_2, all_116_0, simplifying
% 132.19/18.32 | | | | | with (18), (20), (22), (81) gives:
% 132.19/18.32 | | | | | (82) $false
% 132.19/18.32 | | | | |
% 132.19/18.32 | | | | | CLOSE: (82) is inconsistent.
% 132.19/18.32 | | | | |
% 132.19/18.32 | | | | Case 2:
% 132.19/18.32 | | | | |
% 132.19/18.32 | | | | | (83) v3_struct_0(all_116_1)
% 132.19/18.32 | | | | |
% 132.19/18.32 | | | | | GROUND_INST: instantiating (8) with all_116_2, all_116_1, simplifying
% 132.19/18.32 | | | | | with (18), (20), (21), (83) gives:
% 132.19/18.32 | | | | | (84) $false
% 132.19/18.32 | | | | |
% 132.19/18.32 | | | | | CLOSE: (84) is inconsistent.
% 132.19/18.32 | | | | |
% 132.19/18.32 | | | | End of split
% 132.19/18.32 | | | |
% 132.19/18.32 | | | End of split
% 132.19/18.32 | | |
% 132.19/18.32 | | End of split
% 132.19/18.32 | |
% 132.19/18.32 | End of split
% 132.19/18.32 |
% 132.19/18.32 End of proof
% 132.19/18.32 % SZS output end Proof for theBenchmark
% 132.19/18.32
% 132.19/18.32 17677ms
%------------------------------------------------------------------------------