TSTP Solution File: LCL642+1.015 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : LCL642+1.015 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n026.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 08:11:54 EDT 2023
% Result : Theorem 138.07s 20.12s
% Output : Proof 138.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL642+1.015 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 24 17:11:47 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.62 ________ _____
% 0.21/0.62 ___ __ \_________(_)________________________________
% 0.21/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.21/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.21/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.21/0.62
% 0.21/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.21/0.62 (2023-06-19)
% 0.21/0.62
% 0.21/0.62 (c) Philipp Rümmer, 2009-2023
% 0.21/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.21/0.62 Amanda Stjerna.
% 0.21/0.62 Free software under BSD-3-Clause.
% 0.21/0.62
% 0.21/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.21/0.62
% 0.21/0.63 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.21/0.64 Running up to 7 provers in parallel.
% 0.21/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.21/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.21/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.21/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.21/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.21/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.21/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 6.63/1.75 Prover 1: Preprocessing ...
% 6.63/1.75 Prover 4: Preprocessing ...
% 6.63/1.78 Prover 6: Preprocessing ...
% 6.63/1.78 Prover 0: Preprocessing ...
% 6.63/1.78 Prover 2: Preprocessing ...
% 6.63/1.78 Prover 5: Preprocessing ...
% 6.63/1.78 Prover 3: Preprocessing ...
% 11.91/2.49 Prover 5: Constructing countermodel ...
% 12.23/2.53 Prover 2: Constructing countermodel ...
% 16.16/3.16 Prover 1: Constructing countermodel ...
% 17.24/3.19 Prover 6: Proving ...
% 17.36/3.23 Prover 3: Constructing countermodel ...
% 83.85/12.04 Prover 2: stopped
% 83.85/12.04 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 86.14/12.28 Prover 7: Preprocessing ...
% 87.07/12.44 Prover 7: Constructing countermodel ...
% 98.73/13.98 Prover 5: stopped
% 98.73/14.00 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 99.33/14.21 Prover 8: Preprocessing ...
% 102.73/14.50 Prover 8: Warning: ignoring some quantifiers
% 102.73/14.51 Prover 8: Constructing countermodel ...
% 114.03/16.00 Prover 1: stopped
% 114.03/16.01 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 114.54/16.20 Prover 9: Preprocessing ...
% 128.30/17.91 Prover 6: stopped
% 128.63/17.92 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 129.87/18.14 Prover 10: Preprocessing ...
% 130.67/18.26 Prover 10: Constructing countermodel ...
% 133.07/18.52 Prover 10: Found proof (size 50)
% 133.07/18.52 Prover 10: proved (603ms)
% 133.07/18.53 Prover 3: stopped
% 133.07/18.53 Prover 0: stopped
% 133.07/18.53 Prover 8: stopped
% 133.23/18.53 Prover 4: stopped
% 135.16/19.27 Prover 7: stopped
% 137.89/20.09 Prover 9: Constructing countermodel ...
% 138.07/20.12 Prover 9: stopped
% 138.07/20.12
% 138.07/20.12 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 138.07/20.12
% 138.07/20.13 % SZS output start Proof for theBenchmark
% 138.07/20.13 Assumptions after simplification:
% 138.07/20.13 ---------------------------------
% 138.07/20.13
% 138.07/20.13 (main)
% 138.19/20.28 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5:
% 138.19/20.28 $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] :
% 138.19/20.28 ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : ?
% 138.19/20.28 [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: $i] : ? [v20: $i] : ?
% 138.19/20.28 [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? [v24: $i] : ? [v25: $i] : ?
% 138.19/20.28 [v26: $i] : ? [v27: $i] : ? [v28: $i] : ? [v29: $i] : ? [v30: $i] : ?
% 138.19/20.28 [v31: $i] : ? [v32: $i] : ? [v33: $i] : ? [v34: $i] : ? [v35: $i] : ?
% 138.19/20.28 [v36: $i] : ? [v37: $i] : ? [v38: $i] : ? [v39: $i] : ? [v40: $i] : ?
% 138.19/20.28 [v41: $i] : ? [v42: $i] : ? [v43: $i] : ? [v44: $i] : ? [v45: $i] : ?
% 138.19/20.28 [v46: $i] : ? [v47: $i] : ? [v48: $i] : ? [v49: $i] : ? [v50: $i] : ?
% 138.19/20.28 [v51: $i] : ? [v52: $i] : ($i(v52) & $i(v51) & $i(v50) & $i(v49) & $i(v48) &
% 138.19/20.28 $i(v47) & $i(v46) & $i(v45) & $i(v44) & $i(v43) & $i(v42) & $i(v41) &
% 138.19/20.28 $i(v40) & $i(v39) & $i(v38) & $i(v37) & $i(v36) & $i(v35) & $i(v34) &
% 138.19/20.28 $i(v33) & $i(v32) & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) &
% 138.19/20.28 $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) &
% 138.19/20.28 $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) &
% 138.19/20.28 $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) &
% 138.19/20.28 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & r1(v0, v52) & r1(v0, v51) &
% 138.19/20.28 r1(v0, v50) & ~ p1(v50) & ~ p2(v51) & ~ p3(v52) & ! [v53: $i] : ( ~
% 138.19/20.28 $i(v53) | ~ r1(v0, v53) | p1(v53) | ? [v54: $i] : ? [v55: $i] :
% 138.19/20.28 ($i(v55) & $i(v54) & p1(v54) & r1(v54, v55) & r1(v53, v54) & ~ p1(v55)))
% 138.19/20.28 & ! [v53: $i] : ( ~ $i(v53) | ~ r1(v0, v53) | p2(v53) | ? [v54: $i] : ?
% 138.19/20.28 [v55: $i] : ($i(v55) & $i(v54) & p2(v54) & r1(v54, v55) & r1(v53, v54) &
% 138.19/20.28 ~ p2(v55))) & ! [v53: $i] : ( ~ $i(v53) | ~ r1(v0, v53) | p2(v53) | ?
% 138.19/20.28 [v54: $i] : ($i(v54) & r1(v53, v54) & ~ p2(v54) & ! [v55: $i] : ! [v56:
% 138.19/20.28 $i] : ( ~ $i(v56) | ~ $i(v55) | ~ p2(v55) | ~ r1(v55, v56) | ~
% 138.19/20.28 r1(v54, v55) | p2(v56)))) & ! [v53: $i] : ( ~ $i(v53) | ~ r1(v0,
% 138.19/20.28 v53) | p3(v53) | ? [v54: $i] : ? [v55: $i] : ($i(v55) & $i(v54) &
% 138.19/20.28 p3(v54) & r1(v54, v55) & r1(v53, v54) & ~ p3(v55))) & (p4(v0) | p1(v0)
% 138.19/20.28 | p2(v0) | p3(v0) | ! [v53: $i] : ! [v54: $i] : ! [v55: $i] : ( ~
% 138.19/20.29 $i(v55) | ~ $i(v54) | ~ $i(v53) | ~ r1(v54, v55) | ~ r1(v53, v54) |
% 138.19/20.29 ~ r1(v0, v53) | p4(v54) | p4(v53) | p1(v54) | p1(v53) | p2(v54) |
% 138.19/20.29 p2(v53) | p3(v54) | p3(v53)) | (r1(v35, v36) & r1(v34, v35) & r1(v33,
% 138.19/20.29 v34) & r1(v0, v33) & ~ p4(v35) & ~ p4(v34) & ~ p4(v33) & ~ p1(v35)
% 138.19/20.29 & ~ p1(v34) & ~ p1(v33) & ~ p2(v35) & ~ p2(v34) & ~ p2(v33) & ~
% 138.19/20.29 p3(v35) & ~ p3(v34) & ~ p3(v33) & ! [v53: $i] : ! [v54: $i] : !
% 138.19/20.29 [v55: $i] : ! [v56: $i] : ! [v57: $i] : ( ~ $i(v57) | ~ $i(v56) | ~
% 138.19/20.29 $i(v55) | ~ $i(v54) | ~ $i(v53) | ~ p4(v53) | ~ r1(v56, v57) | ~
% 138.19/20.29 r1(v55, v56) | ~ r1(v54, v55) | ~ r1(v53, v54) | ~ r1(v33, v53) |
% 138.19/20.29 p4(v56) | p4(v55) | p4(v54) | p1(v56) | p1(v55) | p1(v54) | p2(v56) |
% 138.19/20.29 p2(v55) | p2(v54) | p3(v56) | p3(v55) | p3(v54)) & ! [v53: $i] : !
% 138.19/20.29 [v54: $i] : ! [v55: $i] : ! [v56: $i] : ! [v57: $i] : ( ~ $i(v57) |
% 138.19/20.29 ~ $i(v56) | ~ $i(v55) | ~ $i(v54) | ~ $i(v53) | ~ p1(v53) | ~
% 138.19/20.29 r1(v56, v57) | ~ r1(v55, v56) | ~ r1(v54, v55) | ~ r1(v53, v54) |
% 138.19/20.29 ~ r1(v33, v53) | p4(v56) | p4(v55) | p4(v54) | p1(v56) | p1(v55) |
% 138.19/20.29 p1(v54) | p2(v56) | p2(v55) | p2(v54) | p3(v56) | p3(v55) | p3(v54)) &
% 138.19/20.29 ! [v53: $i] : ! [v54: $i] : ! [v55: $i] : ! [v56: $i] : ! [v57: $i]
% 138.19/20.29 : ( ~ $i(v57) | ~ $i(v56) | ~ $i(v55) | ~ $i(v54) | ~ $i(v53) | ~
% 138.19/20.29 p2(v53) | ~ r1(v56, v57) | ~ r1(v55, v56) | ~ r1(v54, v55) | ~
% 138.19/20.29 r1(v53, v54) | ~ r1(v33, v53) | p4(v56) | p4(v55) | p4(v54) | p1(v56)
% 138.19/20.29 | p1(v55) | p1(v54) | p2(v56) | p2(v55) | p2(v54) | p3(v56) | p3(v55)
% 138.19/20.29 | p3(v54)) & ! [v53: $i] : ! [v54: $i] : ! [v55: $i] : ! [v56: $i]
% 138.19/20.29 : ! [v57: $i] : ( ~ $i(v57) | ~ $i(v56) | ~ $i(v55) | ~ $i(v54) | ~
% 138.19/20.29 $i(v53) | ~ p3(v53) | ~ r1(v56, v57) | ~ r1(v55, v56) | ~ r1(v54,
% 138.19/20.29 v55) | ~ r1(v53, v54) | ~ r1(v33, v53) | p4(v56) | p4(v55) |
% 138.19/20.29 p4(v54) | p1(v56) | p1(v55) | p1(v54) | p2(v56) | p2(v55) | p2(v54) |
% 138.19/20.29 p3(v56) | p3(v55) | p3(v54)) & ! [v53: $i] : ! [v54: $i] : ! [v55:
% 138.19/20.29 $i] : ! [v56: $i] : ! [v57: $i] : ( ~ $i(v57) | ~ $i(v56) | ~
% 138.19/20.29 $i(v55) | ~ $i(v54) | ~ $i(v53) | ~ r1(v56, v57) | ~ r1(v55, v56)
% 138.19/20.29 | ~ r1(v54, v55) | ~ r1(v53, v54) | ~ r1(v33, v53) | p4(v56) |
% 138.19/20.29 p4(v55) | p4(v54) | p1(v56) | p1(v55) | p1(v54) | p2(v56) | p2(v55) |
% 138.19/20.29 p2(v54) | p3(v56) | p3(v55) | p3(v54) | ? [v58: $i] : ? [v59: $i] :
% 138.19/20.29 ? [v60: $i] : ($i(v60) & $i(v59) & $i(v58) & r1(v59, v60) & r1(v58,
% 138.19/20.29 v59) & r1(v53, v58) & ~ p4(v59) & ~ p4(v58) & ~ p1(v59) & ~
% 138.19/20.29 p1(v58) & ~ p2(v59) & ~ p2(v58) & ~ p3(v59) & ~ p3(v58))))) &
% 138.19/20.29 (p4(v0) | p1(v0) | p2(v0) | p3(v0) | ! [v53: $i] : ! [v54: $i] : ( ~
% 138.19/20.29 $i(v54) | ~ $i(v53) | ~ r1(v53, v54) | ~ r1(v0, v53) | p4(v53) |
% 138.19/20.29 p1(v53) | p2(v53) | p3(v53)) | (r1(v19, v20) & r1(v18, v19) & r1(v0,
% 138.19/20.29 v18) & ~ p4(v19) & ~ p4(v18) & ~ p1(v19) & ~ p1(v18) & ~ p2(v19)
% 138.19/20.29 & ~ p2(v18) & ~ p3(v19) & ~ p3(v18) & ! [v53: $i] : ! [v54: $i] :
% 138.19/20.29 ! [v55: $i] : ! [v56: $i] : ( ~ $i(v56) | ~ $i(v55) | ~ $i(v54) | ~
% 138.19/20.29 $i(v53) | ~ p4(v53) | ~ r1(v55, v56) | ~ r1(v54, v55) | ~ r1(v53,
% 138.19/20.29 v54) | ~ r1(v18, v53) | p4(v55) | p4(v54) | p1(v55) | p1(v54) |
% 138.19/20.29 p2(v55) | p2(v54) | p3(v55) | p3(v54)) & ! [v53: $i] : ! [v54: $i] :
% 138.19/20.29 ! [v55: $i] : ! [v56: $i] : ( ~ $i(v56) | ~ $i(v55) | ~ $i(v54) | ~
% 138.19/20.29 $i(v53) | ~ p1(v53) | ~ r1(v55, v56) | ~ r1(v54, v55) | ~ r1(v53,
% 138.19/20.29 v54) | ~ r1(v18, v53) | p4(v55) | p4(v54) | p1(v55) | p1(v54) |
% 138.19/20.29 p2(v55) | p2(v54) | p3(v55) | p3(v54)) & ! [v53: $i] : ! [v54: $i] :
% 138.19/20.29 ! [v55: $i] : ! [v56: $i] : ( ~ $i(v56) | ~ $i(v55) | ~ $i(v54) | ~
% 138.19/20.29 $i(v53) | ~ p2(v53) | ~ r1(v55, v56) | ~ r1(v54, v55) | ~ r1(v53,
% 138.19/20.29 v54) | ~ r1(v18, v53) | p4(v55) | p4(v54) | p1(v55) | p1(v54) |
% 138.19/20.29 p2(v55) | p2(v54) | p3(v55) | p3(v54)) & ! [v53: $i] : ! [v54: $i] :
% 138.19/20.29 ! [v55: $i] : ! [v56: $i] : ( ~ $i(v56) | ~ $i(v55) | ~ $i(v54) | ~
% 138.19/20.29 $i(v53) | ~ p3(v53) | ~ r1(v55, v56) | ~ r1(v54, v55) | ~ r1(v53,
% 138.19/20.29 v54) | ~ r1(v18, v53) | p4(v55) | p4(v54) | p1(v55) | p1(v54) |
% 138.19/20.29 p2(v55) | p2(v54) | p3(v55) | p3(v54)) & ! [v53: $i] : ! [v54: $i] :
% 138.19/20.29 ! [v55: $i] : ! [v56: $i] : ( ~ $i(v56) | ~ $i(v55) | ~ $i(v54) | ~
% 138.19/20.29 $i(v53) | ~ r1(v55, v56) | ~ r1(v54, v55) | ~ r1(v53, v54) | ~
% 138.19/20.29 r1(v18, v53) | p4(v55) | p4(v54) | p1(v55) | p1(v54) | p2(v55) |
% 138.19/20.29 p2(v54) | p3(v55) | p3(v54) | ? [v57: $i] : ? [v58: $i] : ($i(v58) &
% 138.19/20.29 $i(v57) & r1(v57, v58) & r1(v53, v57) & ~ p4(v57) & ~ p1(v57) & ~
% 138.19/20.29 p2(v57) & ~ p3(v57))))) & (p4(v0) | p1(v0) | p2(v0) | p3(v0) | !
% 138.19/20.29 [v53: $i] : ( ~ $i(v53) | ~ r1(v0, v53)) | (r1(v7, v8) & r1(v0, v7) & ~
% 138.19/20.29 p4(v7) & ~ p1(v7) & ~ p2(v7) & ~ p3(v7) & ! [v53: $i] : ! [v54: $i]
% 138.19/20.29 : ! [v55: $i] : ( ~ $i(v55) | ~ $i(v54) | ~ $i(v53) | ~ p4(v53) | ~
% 138.19/20.29 r1(v54, v55) | ~ r1(v53, v54) | ~ r1(v7, v53) | p4(v54) | p1(v54) |
% 138.19/20.29 p2(v54) | p3(v54)) & ! [v53: $i] : ! [v54: $i] : ! [v55: $i] : ( ~
% 138.19/20.29 $i(v55) | ~ $i(v54) | ~ $i(v53) | ~ p1(v53) | ~ r1(v54, v55) | ~
% 138.19/20.29 r1(v53, v54) | ~ r1(v7, v53) | p4(v54) | p1(v54) | p2(v54) | p3(v54))
% 138.19/20.29 & ! [v53: $i] : ! [v54: $i] : ! [v55: $i] : ( ~ $i(v55) | ~ $i(v54)
% 138.19/20.29 | ~ $i(v53) | ~ p2(v53) | ~ r1(v54, v55) | ~ r1(v53, v54) | ~
% 138.19/20.29 r1(v7, v53) | p4(v54) | p1(v54) | p2(v54) | p3(v54)) & ! [v53: $i] :
% 138.19/20.29 ! [v54: $i] : ! [v55: $i] : ( ~ $i(v55) | ~ $i(v54) | ~ $i(v53) | ~
% 138.19/20.29 p3(v53) | ~ r1(v54, v55) | ~ r1(v53, v54) | ~ r1(v7, v53) | p4(v54)
% 138.19/20.29 | p1(v54) | p2(v54) | p3(v54)) & ! [v53: $i] : ! [v54: $i] : !
% 138.19/20.29 [v55: $i] : ( ~ $i(v55) | ~ $i(v54) | ~ $i(v53) | ~ r1(v54, v55) | ~
% 138.19/20.29 r1(v53, v54) | ~ r1(v7, v53) | p4(v54) | p1(v54) | p2(v54) | p3(v54)
% 138.19/20.29 | ? [v56: $i] : ($i(v56) & r1(v53, v56))))) & (p1(v0) | p2(v0) |
% 138.19/20.29 p3(v0) | ! [v53: $i] : ! [v54: $i] : ! [v55: $i] : ( ~ $i(v55) | ~
% 138.19/20.29 $i(v54) | ~ $i(v53) | ~ r1(v54, v55) | ~ r1(v53, v54) | ~ r1(v0,
% 138.19/20.29 v53) | p4(v54) | p4(v53) | p1(v54) | p1(v53) | p2(v54) | p2(v53) |
% 138.19/20.29 p3(v54) | p3(v53)) | (r1(v31, v32) & r1(v30, v31) & r1(v29, v30) &
% 138.19/20.29 r1(v0, v29) & ~ p4(v31) & ~ p4(v30) & ~ p1(v31) & ~ p1(v30) & ~
% 138.19/20.29 p1(v29) & ~ p2(v31) & ~ p2(v30) & ~ p2(v29) & ~ p3(v31) & ~ p3(v30)
% 138.19/20.29 & ~ p3(v29) & ! [v53: $i] : ! [v54: $i] : ! [v55: $i] : ! [v56: $i]
% 138.19/20.29 : ! [v57: $i] : ( ~ $i(v57) | ~ $i(v56) | ~ $i(v55) | ~ $i(v54) | ~
% 138.19/20.29 $i(v53) | ~ p1(v53) | ~ r1(v56, v57) | ~ r1(v55, v56) | ~ r1(v54,
% 138.19/20.29 v55) | ~ r1(v53, v54) | ~ r1(v29, v53) | p4(v56) | p4(v55) |
% 138.19/20.29 p1(v56) | p1(v55) | p1(v54) | p2(v56) | p2(v55) | p2(v54) | p3(v56) |
% 138.19/20.29 p3(v55) | p3(v54)) & ! [v53: $i] : ! [v54: $i] : ! [v55: $i] : !
% 138.19/20.29 [v56: $i] : ! [v57: $i] : ( ~ $i(v57) | ~ $i(v56) | ~ $i(v55) | ~
% 138.19/20.29 $i(v54) | ~ $i(v53) | ~ p2(v53) | ~ r1(v56, v57) | ~ r1(v55, v56)
% 138.19/20.29 | ~ r1(v54, v55) | ~ r1(v53, v54) | ~ r1(v29, v53) | p4(v56) |
% 138.19/20.29 p4(v55) | p1(v56) | p1(v55) | p1(v54) | p2(v56) | p2(v55) | p2(v54) |
% 138.19/20.29 p3(v56) | p3(v55) | p3(v54)) & ! [v53: $i] : ! [v54: $i] : ! [v55:
% 138.19/20.29 $i] : ! [v56: $i] : ! [v57: $i] : ( ~ $i(v57) | ~ $i(v56) | ~
% 138.19/20.29 $i(v55) | ~ $i(v54) | ~ $i(v53) | ~ p3(v53) | ~ r1(v56, v57) | ~
% 138.19/20.29 r1(v55, v56) | ~ r1(v54, v55) | ~ r1(v53, v54) | ~ r1(v29, v53) |
% 138.19/20.29 p4(v56) | p4(v55) | p1(v56) | p1(v55) | p1(v54) | p2(v56) | p2(v55) |
% 138.19/20.29 p2(v54) | p3(v56) | p3(v55) | p3(v54)) & ! [v53: $i] : ! [v54: $i] :
% 138.19/20.29 ! [v55: $i] : ! [v56: $i] : ! [v57: $i] : ( ~ $i(v57) | ~ $i(v56) |
% 138.19/20.29 ~ $i(v55) | ~ $i(v54) | ~ $i(v53) | ~ r1(v56, v57) | ~ r1(v55,
% 138.19/20.30 v56) | ~ r1(v54, v55) | ~ r1(v53, v54) | ~ r1(v29, v53) | p4(v56)
% 138.19/20.30 | p4(v55) | p1(v56) | p1(v55) | p1(v54) | p2(v56) | p2(v55) | p2(v54)
% 138.19/20.30 | p3(v56) | p3(v55) | p3(v54) | ? [v58: $i] : ? [v59: $i] : ? [v60:
% 138.19/20.30 $i] : ($i(v60) & $i(v59) & $i(v58) & r1(v59, v60) & r1(v58, v59) &
% 138.19/20.30 r1(v53, v58) & ~ p4(v59) & ~ p4(v58) & ~ p1(v59) & ~ p1(v58) &
% 138.19/20.30 ~ p2(v59) & ~ p2(v58) & ~ p3(v59) & ~ p3(v58))))) & (p1(v0) |
% 138.19/20.30 p2(v0) | p3(v0) | ! [v53: $i] : ! [v54: $i] : ( ~ $i(v54) | ~ $i(v53) |
% 138.19/20.30 ~ r1(v53, v54) | ~ r1(v0, v53) | p4(v53) | p1(v53) | p2(v53) |
% 138.19/20.30 p3(v53)) | (r1(v16, v17) & r1(v15, v16) & r1(v0, v15) & ~ p4(v16) & ~
% 138.19/20.30 p1(v16) & ~ p1(v15) & ~ p2(v16) & ~ p2(v15) & ~ p3(v16) & ~ p3(v15)
% 138.19/20.30 & ! [v53: $i] : ! [v54: $i] : ! [v55: $i] : ! [v56: $i] : ( ~
% 138.19/20.30 $i(v56) | ~ $i(v55) | ~ $i(v54) | ~ $i(v53) | ~ p1(v53) | ~
% 138.19/20.30 r1(v55, v56) | ~ r1(v54, v55) | ~ r1(v53, v54) | ~ r1(v15, v53) |
% 138.19/20.30 p4(v55) | p1(v55) | p1(v54) | p2(v55) | p2(v54) | p3(v55) | p3(v54)) &
% 138.19/20.30 ! [v53: $i] : ! [v54: $i] : ! [v55: $i] : ! [v56: $i] : ( ~ $i(v56)
% 138.19/20.30 | ~ $i(v55) | ~ $i(v54) | ~ $i(v53) | ~ p2(v53) | ~ r1(v55, v56)
% 138.19/20.30 | ~ r1(v54, v55) | ~ r1(v53, v54) | ~ r1(v15, v53) | p4(v55) |
% 138.19/20.30 p1(v55) | p1(v54) | p2(v55) | p2(v54) | p3(v55) | p3(v54)) & ! [v53:
% 138.19/20.30 $i] : ! [v54: $i] : ! [v55: $i] : ! [v56: $i] : ( ~ $i(v56) | ~
% 138.19/20.30 $i(v55) | ~ $i(v54) | ~ $i(v53) | ~ p3(v53) | ~ r1(v55, v56) | ~
% 138.19/20.30 r1(v54, v55) | ~ r1(v53, v54) | ~ r1(v15, v53) | p4(v55) | p1(v55) |
% 138.19/20.30 p1(v54) | p2(v55) | p2(v54) | p3(v55) | p3(v54)) & ! [v53: $i] : !
% 138.19/20.30 [v54: $i] : ! [v55: $i] : ! [v56: $i] : ( ~ $i(v56) | ~ $i(v55) | ~
% 138.19/20.30 $i(v54) | ~ $i(v53) | ~ r1(v55, v56) | ~ r1(v54, v55) | ~ r1(v53,
% 138.19/20.30 v54) | ~ r1(v15, v53) | p4(v55) | p1(v55) | p1(v54) | p2(v55) |
% 138.19/20.30 p2(v54) | p3(v55) | p3(v54) | ? [v57: $i] : ? [v58: $i] : ($i(v58) &
% 138.19/20.30 $i(v57) & r1(v57, v58) & r1(v53, v57) & ~ p4(v57) & ~ p1(v57) & ~
% 138.19/20.30 p2(v57) & ~ p3(v57))))) & (p1(v0) | p2(v0) | p3(v0) | ! [v53: $i]
% 138.19/20.30 : ( ~ $i(v53) | ~ r1(v0, v53)) | (r1(v5, v6) & r1(v0, v5) & ~ p1(v5) &
% 138.19/20.30 ~ p2(v5) & ~ p3(v5) & ! [v53: $i] : ! [v54: $i] : ! [v55: $i] : ( ~
% 138.19/20.30 $i(v55) | ~ $i(v54) | ~ $i(v53) | ~ p1(v53) | ~ r1(v54, v55) | ~
% 138.19/20.30 r1(v53, v54) | ~ r1(v5, v53) | p1(v54) | p2(v54) | p3(v54)) & !
% 138.19/20.30 [v53: $i] : ! [v54: $i] : ! [v55: $i] : ( ~ $i(v55) | ~ $i(v54) | ~
% 138.19/20.30 $i(v53) | ~ p2(v53) | ~ r1(v54, v55) | ~ r1(v53, v54) | ~ r1(v5,
% 138.19/20.30 v53) | p1(v54) | p2(v54) | p3(v54)) & ! [v53: $i] : ! [v54: $i] :
% 138.19/20.30 ! [v55: $i] : ( ~ $i(v55) | ~ $i(v54) | ~ $i(v53) | ~ p3(v53) | ~
% 138.19/20.30 r1(v54, v55) | ~ r1(v53, v54) | ~ r1(v5, v53) | p1(v54) | p2(v54) |
% 138.19/20.30 p3(v54)) & ! [v53: $i] : ! [v54: $i] : ! [v55: $i] : ( ~ $i(v55) |
% 138.19/20.30 ~ $i(v54) | ~ $i(v53) | ~ r1(v54, v55) | ~ r1(v53, v54) | ~ r1(v5,
% 138.19/20.30 v53) | p1(v54) | p2(v54) | p3(v54) | ? [v56: $i] : ($i(v56) &
% 138.19/20.30 r1(v53, v56))))) & (p1(v0) | p2(v0) | ! [v53: $i] : ! [v54: $i] :
% 138.19/20.30 ! [v55: $i] : ! [v56: $i] : ( ~ $i(v56) | ~ $i(v55) | ~ $i(v54) | ~
% 138.19/20.30 $i(v53) | ~ r1(v55, v56) | ~ r1(v54, v55) | ~ r1(v53, v54) | ~
% 138.19/20.30 r1(v0, v53) | p4(v55) | p4(v54) | p4(v53) | p1(v55) | p1(v54) | p1(v53)
% 138.19/20.30 | p2(v55) | p2(v54) | p2(v53) | p3(v55) | p3(v54) | p3(v53)) | (r1(v45,
% 138.19/20.30 v46) & r1(v44, v45) & r1(v43, v44) & r1(v42, v43) & r1(v0, v42) & ~
% 138.19/20.30 p4(v45) & ~ p4(v44) & ~ p4(v43) & ~ p1(v45) & ~ p1(v44) & ~ p1(v43)
% 138.19/20.30 & ~ p1(v42) & ~ p2(v45) & ~ p2(v44) & ~ p2(v43) & ~ p2(v42) & ~
% 138.19/20.30 p3(v45) & ~ p3(v44) & ~ p3(v43) & ! [v53: $i] : ! [v54: $i] : !
% 138.19/20.30 [v55: $i] : ! [v56: $i] : ! [v57: $i] : ! [v58: $i] : ( ~ $i(v58) |
% 138.19/20.30 ~ $i(v57) | ~ $i(v56) | ~ $i(v55) | ~ $i(v54) | ~ $i(v53) | ~
% 138.19/20.30 p1(v53) | ~ r1(v57, v58) | ~ r1(v56, v57) | ~ r1(v55, v56) | ~
% 138.19/20.30 r1(v54, v55) | ~ r1(v53, v54) | ~ r1(v42, v53) | p4(v57) | p4(v56) |
% 138.19/20.30 p4(v55) | p1(v57) | p1(v56) | p1(v55) | p1(v54) | p2(v57) | p2(v56) |
% 138.19/20.30 p2(v55) | p2(v54) | p3(v57) | p3(v56) | p3(v55)) & ! [v53: $i] : !
% 138.19/20.30 [v54: $i] : ! [v55: $i] : ! [v56: $i] : ! [v57: $i] : ! [v58: $i] :
% 138.19/20.30 ( ~ $i(v58) | ~ $i(v57) | ~ $i(v56) | ~ $i(v55) | ~ $i(v54) | ~
% 138.19/20.30 $i(v53) | ~ p2(v53) | ~ r1(v57, v58) | ~ r1(v56, v57) | ~ r1(v55,
% 138.19/20.30 v56) | ~ r1(v54, v55) | ~ r1(v53, v54) | ~ r1(v42, v53) | p4(v57)
% 138.19/20.30 | p4(v56) | p4(v55) | p1(v57) | p1(v56) | p1(v55) | p1(v54) | p2(v57)
% 138.19/20.30 | p2(v56) | p2(v55) | p2(v54) | p3(v57) | p3(v56) | p3(v55)) & !
% 138.19/20.30 [v53: $i] : ! [v54: $i] : ! [v55: $i] : ! [v56: $i] : ! [v57: $i] :
% 138.19/20.30 ! [v58: $i] : ( ~ $i(v58) | ~ $i(v57) | ~ $i(v56) | ~ $i(v55) | ~
% 138.19/20.30 $i(v54) | ~ $i(v53) | ~ r1(v57, v58) | ~ r1(v56, v57) | ~ r1(v55,
% 138.19/20.30 v56) | ~ r1(v54, v55) | ~ r1(v53, v54) | ~ r1(v42, v53) | p4(v57)
% 138.19/20.30 | p4(v56) | p4(v55) | p1(v57) | p1(v56) | p1(v55) | p1(v54) | p2(v57)
% 138.19/20.30 | p2(v56) | p2(v55) | p2(v54) | p3(v57) | p3(v56) | p3(v55) | ? [v59:
% 138.19/20.30 $i] : ? [v60: $i] : ? [v61: $i] : ? [v62: $i] : ($i(v62) &
% 138.19/20.30 $i(v61) & $i(v60) & $i(v59) & r1(v61, v62) & r1(v60, v61) & r1(v59,
% 138.19/20.30 v60) & r1(v53, v59) & ~ p4(v61) & ~ p4(v60) & ~ p4(v59) & ~
% 138.19/20.30 p1(v61) & ~ p1(v60) & ~ p1(v59) & ~ p2(v61) & ~ p2(v60) & ~
% 138.19/20.30 p2(v59) & ~ p3(v61) & ~ p3(v60) & ~ p3(v59))))) & (p1(v0) |
% 138.19/20.30 p2(v0) | ! [v53: $i] : ! [v54: $i] : ! [v55: $i] : ( ~ $i(v55) | ~
% 138.19/20.30 $i(v54) | ~ $i(v53) | ~ r1(v54, v55) | ~ r1(v53, v54) | ~ r1(v0,
% 138.19/20.30 v53) | p4(v54) | p4(v53) | p1(v54) | p1(v53) | p2(v54) | p2(v53) |
% 138.19/20.30 p3(v54) | p3(v53)) | (r1(v27, v28) & r1(v26, v27) & r1(v25, v26) &
% 138.19/20.30 r1(v0, v25) & ~ p4(v27) & ~ p4(v26) & ~ p1(v27) & ~ p1(v26) & ~
% 138.19/20.30 p1(v25) & ~ p2(v27) & ~ p2(v26) & ~ p2(v25) & ~ p3(v27) & ~ p3(v26)
% 138.19/20.30 & ! [v53: $i] : ! [v54: $i] : ! [v55: $i] : ! [v56: $i] : ! [v57:
% 138.19/20.30 $i] : ( ~ $i(v57) | ~ $i(v56) | ~ $i(v55) | ~ $i(v54) | ~ $i(v53)
% 138.19/20.30 | ~ p1(v53) | ~ r1(v56, v57) | ~ r1(v55, v56) | ~ r1(v54, v55) |
% 138.19/20.30 ~ r1(v53, v54) | ~ r1(v25, v53) | p4(v56) | p4(v55) | p1(v56) |
% 138.19/20.30 p1(v55) | p1(v54) | p2(v56) | p2(v55) | p2(v54) | p3(v56) | p3(v55)) &
% 138.19/20.30 ! [v53: $i] : ! [v54: $i] : ! [v55: $i] : ! [v56: $i] : ! [v57: $i]
% 138.19/20.30 : ( ~ $i(v57) | ~ $i(v56) | ~ $i(v55) | ~ $i(v54) | ~ $i(v53) | ~
% 138.19/20.30 p2(v53) | ~ r1(v56, v57) | ~ r1(v55, v56) | ~ r1(v54, v55) | ~
% 138.19/20.30 r1(v53, v54) | ~ r1(v25, v53) | p4(v56) | p4(v55) | p1(v56) | p1(v55)
% 138.19/20.30 | p1(v54) | p2(v56) | p2(v55) | p2(v54) | p3(v56) | p3(v55)) & !
% 138.19/20.30 [v53: $i] : ! [v54: $i] : ! [v55: $i] : ! [v56: $i] : ! [v57: $i] :
% 138.19/20.30 ( ~ $i(v57) | ~ $i(v56) | ~ $i(v55) | ~ $i(v54) | ~ $i(v53) | ~
% 138.19/20.30 r1(v56, v57) | ~ r1(v55, v56) | ~ r1(v54, v55) | ~ r1(v53, v54) |
% 138.19/20.30 ~ r1(v25, v53) | p4(v56) | p4(v55) | p1(v56) | p1(v55) | p1(v54) |
% 138.19/20.30 p2(v56) | p2(v55) | p2(v54) | p3(v56) | p3(v55) | ? [v58: $i] : ?
% 138.19/20.30 [v59: $i] : ? [v60: $i] : ($i(v60) & $i(v59) & $i(v58) & r1(v59, v60)
% 138.19/20.30 & r1(v58, v59) & r1(v53, v58) & ~ p4(v59) & ~ p4(v58) & ~ p1(v59)
% 138.19/20.30 & ~ p1(v58) & ~ p2(v59) & ~ p2(v58) & ~ p3(v59) & ~ p3(v58)))))
% 138.19/20.30 & (p1(v0) | p2(v0) | ! [v53: $i] : ! [v54: $i] : ( ~ $i(v54) | ~ $i(v53)
% 138.19/20.30 | ~ r1(v53, v54) | ~ r1(v0, v53) | p4(v53) | p1(v53) | p2(v53) |
% 138.19/20.30 p3(v53)) | (r1(v13, v14) & r1(v12, v13) & r1(v0, v12) & ~ p4(v13) & ~
% 138.19/20.30 p1(v13) & ~ p1(v12) & ~ p2(v13) & ~ p2(v12) & ~ p3(v13) & ! [v53:
% 138.19/20.30 $i] : ! [v54: $i] : ! [v55: $i] : ! [v56: $i] : ( ~ $i(v56) | ~
% 138.19/20.30 $i(v55) | ~ $i(v54) | ~ $i(v53) | ~ p1(v53) | ~ r1(v55, v56) | ~
% 138.19/20.31 r1(v54, v55) | ~ r1(v53, v54) | ~ r1(v12, v53) | p4(v55) | p1(v55) |
% 138.19/20.31 p1(v54) | p2(v55) | p2(v54) | p3(v55)) & ! [v53: $i] : ! [v54: $i] :
% 138.19/20.31 ! [v55: $i] : ! [v56: $i] : ( ~ $i(v56) | ~ $i(v55) | ~ $i(v54) | ~
% 138.19/20.31 $i(v53) | ~ p2(v53) | ~ r1(v55, v56) | ~ r1(v54, v55) | ~ r1(v53,
% 138.19/20.31 v54) | ~ r1(v12, v53) | p4(v55) | p1(v55) | p1(v54) | p2(v55) |
% 138.19/20.31 p2(v54) | p3(v55)) & ! [v53: $i] : ! [v54: $i] : ! [v55: $i] : !
% 138.19/20.31 [v56: $i] : ( ~ $i(v56) | ~ $i(v55) | ~ $i(v54) | ~ $i(v53) | ~
% 138.19/20.31 r1(v55, v56) | ~ r1(v54, v55) | ~ r1(v53, v54) | ~ r1(v12, v53) |
% 138.19/20.31 p4(v55) | p1(v55) | p1(v54) | p2(v55) | p2(v54) | p3(v55) | ? [v57:
% 138.19/20.31 $i] : ? [v58: $i] : ($i(v58) & $i(v57) & r1(v57, v58) & r1(v53,
% 138.19/20.31 v57) & ~ p4(v57) & ~ p1(v57) & ~ p2(v57) & ~ p3(v57))))) &
% 138.19/20.31 (p1(v0) | p2(v0) | ! [v53: $i] : ( ~ $i(v53) | ~ r1(v0, v53)) | (r1(v3,
% 138.19/20.31 v4) & r1(v0, v3) & ~ p1(v3) & ~ p2(v3) & ! [v53: $i] : ! [v54: $i]
% 138.19/20.31 : ! [v55: $i] : ( ~ $i(v55) | ~ $i(v54) | ~ $i(v53) | ~ p1(v53) | ~
% 138.19/20.31 r1(v54, v55) | ~ r1(v53, v54) | ~ r1(v3, v53) | p1(v54) | p2(v54)) &
% 138.19/20.31 ! [v53: $i] : ! [v54: $i] : ! [v55: $i] : ( ~ $i(v55) | ~ $i(v54) |
% 138.19/20.31 ~ $i(v53) | ~ p2(v53) | ~ r1(v54, v55) | ~ r1(v53, v54) | ~ r1(v3,
% 138.19/20.31 v53) | p1(v54) | p2(v54)) & ! [v53: $i] : ! [v54: $i] : ! [v55:
% 138.19/20.31 $i] : ( ~ $i(v55) | ~ $i(v54) | ~ $i(v53) | ~ r1(v54, v55) | ~
% 138.19/20.31 r1(v53, v54) | ~ r1(v3, v53) | p1(v54) | p2(v54) | ? [v56: $i] :
% 138.19/20.31 ($i(v56) & r1(v53, v56))))) & (p1(v0) | ! [v53: $i] : ! [v54: $i] :
% 138.19/20.31 ! [v55: $i] : ! [v56: $i] : ( ~ $i(v56) | ~ $i(v55) | ~ $i(v54) | ~
% 138.19/20.31 $i(v53) | ~ r1(v55, v56) | ~ r1(v54, v55) | ~ r1(v53, v54) | ~
% 138.19/20.31 r1(v0, v53) | p4(v55) | p4(v54) | p4(v53) | p1(v55) | p1(v54) | p1(v53)
% 138.19/20.31 | p2(v55) | p2(v54) | p2(v53) | p3(v55) | p3(v54) | p3(v53)) | (r1(v40,
% 138.19/20.31 v41) & r1(v39, v40) & r1(v38, v39) & r1(v37, v38) & r1(v0, v37) & ~
% 138.19/20.31 p4(v40) & ~ p4(v39) & ~ p4(v38) & ~ p1(v40) & ~ p1(v39) & ~ p1(v38)
% 138.19/20.31 & ~ p1(v37) & ~ p2(v40) & ~ p2(v39) & ~ p2(v38) & ~ p3(v40) & ~
% 138.19/20.31 p3(v39) & ~ p3(v38) & ! [v53: $i] : ! [v54: $i] : ! [v55: $i] : !
% 138.19/20.31 [v56: $i] : ! [v57: $i] : ! [v58: $i] : ( ~ $i(v58) | ~ $i(v57) | ~
% 138.19/20.31 $i(v56) | ~ $i(v55) | ~ $i(v54) | ~ $i(v53) | ~ p1(v53) | ~
% 138.19/20.31 r1(v57, v58) | ~ r1(v56, v57) | ~ r1(v55, v56) | ~ r1(v54, v55) |
% 138.19/20.31 ~ r1(v53, v54) | ~ r1(v37, v53) | p4(v57) | p4(v56) | p4(v55) |
% 138.19/20.31 p1(v57) | p1(v56) | p1(v55) | p1(v54) | p2(v57) | p2(v56) | p2(v55) |
% 138.19/20.31 p3(v57) | p3(v56) | p3(v55)) & ! [v53: $i] : ! [v54: $i] : ! [v55:
% 138.19/20.31 $i] : ! [v56: $i] : ! [v57: $i] : ! [v58: $i] : ( ~ $i(v58) | ~
% 138.19/20.31 $i(v57) | ~ $i(v56) | ~ $i(v55) | ~ $i(v54) | ~ $i(v53) | ~
% 138.19/20.31 r1(v57, v58) | ~ r1(v56, v57) | ~ r1(v55, v56) | ~ r1(v54, v55) |
% 138.19/20.31 ~ r1(v53, v54) | ~ r1(v37, v53) | p4(v57) | p4(v56) | p4(v55) |
% 138.19/20.31 p1(v57) | p1(v56) | p1(v55) | p1(v54) | p2(v57) | p2(v56) | p2(v55) |
% 138.19/20.31 p3(v57) | p3(v56) | p3(v55) | ? [v59: $i] : ? [v60: $i] : ? [v61:
% 138.19/20.31 $i] : ? [v62: $i] : ($i(v62) & $i(v61) & $i(v60) & $i(v59) &
% 138.19/20.31 r1(v61, v62) & r1(v60, v61) & r1(v59, v60) & r1(v53, v59) & ~
% 138.19/20.31 p4(v61) & ~ p4(v60) & ~ p4(v59) & ~ p1(v61) & ~ p1(v60) & ~
% 138.19/20.31 p1(v59) & ~ p2(v61) & ~ p2(v60) & ~ p2(v59) & ~ p3(v61) & ~
% 138.19/20.31 p3(v60) & ~ p3(v59))))) & (p1(v0) | ! [v53: $i] : ! [v54: $i] :
% 138.19/20.31 ! [v55: $i] : ( ~ $i(v55) | ~ $i(v54) | ~ $i(v53) | ~ r1(v54, v55) | ~
% 138.19/20.31 r1(v53, v54) | ~ r1(v0, v53) | p4(v54) | p4(v53) | p1(v54) | p1(v53) |
% 138.19/20.31 p2(v54) | p2(v53) | p3(v54) | p3(v53)) | (r1(v23, v24) & r1(v22, v23) &
% 138.19/20.31 r1(v21, v22) & r1(v0, v21) & ~ p4(v23) & ~ p4(v22) & ~ p1(v23) & ~
% 138.19/20.31 p1(v22) & ~ p1(v21) & ~ p2(v23) & ~ p2(v22) & ~ p3(v23) & ~ p3(v22)
% 138.19/20.31 & ! [v53: $i] : ! [v54: $i] : ! [v55: $i] : ! [v56: $i] : ! [v57:
% 138.19/20.31 $i] : ( ~ $i(v57) | ~ $i(v56) | ~ $i(v55) | ~ $i(v54) | ~ $i(v53)
% 138.19/20.31 | ~ p1(v53) | ~ r1(v56, v57) | ~ r1(v55, v56) | ~ r1(v54, v55) |
% 138.19/20.31 ~ r1(v53, v54) | ~ r1(v21, v53) | p4(v56) | p4(v55) | p1(v56) |
% 138.19/20.31 p1(v55) | p1(v54) | p2(v56) | p2(v55) | p3(v56) | p3(v55)) & ! [v53:
% 138.19/20.31 $i] : ! [v54: $i] : ! [v55: $i] : ! [v56: $i] : ! [v57: $i] : ( ~
% 138.19/20.31 $i(v57) | ~ $i(v56) | ~ $i(v55) | ~ $i(v54) | ~ $i(v53) | ~
% 138.19/20.31 r1(v56, v57) | ~ r1(v55, v56) | ~ r1(v54, v55) | ~ r1(v53, v54) |
% 138.19/20.31 ~ r1(v21, v53) | p4(v56) | p4(v55) | p1(v56) | p1(v55) | p1(v54) |
% 138.19/20.31 p2(v56) | p2(v55) | p3(v56) | p3(v55) | ? [v58: $i] : ? [v59: $i] :
% 138.19/20.31 ? [v60: $i] : ($i(v60) & $i(v59) & $i(v58) & r1(v59, v60) & r1(v58,
% 138.19/20.31 v59) & r1(v53, v58) & ~ p4(v59) & ~ p4(v58) & ~ p1(v59) & ~
% 138.19/20.31 p1(v58) & ~ p2(v59) & ~ p2(v58) & ~ p3(v59) & ~ p3(v58))))) &
% 138.19/20.31 (p1(v0) | ! [v53: $i] : ! [v54: $i] : ( ~ $i(v54) | ~ $i(v53) | ~
% 138.19/20.31 r1(v53, v54) | ~ r1(v0, v53) | p4(v53) | p1(v53) | p2(v53) | p3(v53)) |
% 138.19/20.31 (r1(v10, v11) & r1(v9, v10) & r1(v0, v9) & ~ p4(v10) & ~ p1(v10) & ~
% 138.19/20.31 p1(v9) & ~ p2(v10) & ~ p3(v10) & ! [v53: $i] : ! [v54: $i] : !
% 138.19/20.31 [v55: $i] : ! [v56: $i] : ( ~ $i(v56) | ~ $i(v55) | ~ $i(v54) | ~
% 138.19/20.31 $i(v53) | ~ p1(v53) | ~ r1(v55, v56) | ~ r1(v54, v55) | ~ r1(v53,
% 138.19/20.31 v54) | ~ r1(v9, v53) | p4(v55) | p1(v55) | p1(v54) | p2(v55) |
% 138.19/20.31 p3(v55)) & ! [v53: $i] : ! [v54: $i] : ! [v55: $i] : ! [v56: $i] :
% 138.19/20.31 ( ~ $i(v56) | ~ $i(v55) | ~ $i(v54) | ~ $i(v53) | ~ r1(v55, v56) |
% 138.19/20.31 ~ r1(v54, v55) | ~ r1(v53, v54) | ~ r1(v9, v53) | p4(v55) | p1(v55)
% 138.19/20.31 | p1(v54) | p2(v55) | p3(v55) | ? [v57: $i] : ? [v58: $i] : ($i(v58)
% 138.19/20.31 & $i(v57) & r1(v57, v58) & r1(v53, v57) & ~ p4(v57) & ~ p1(v57) &
% 138.19/20.31 ~ p2(v57) & ~ p3(v57))))) & (p1(v0) | ! [v53: $i] : ( ~ $i(v53) |
% 138.19/20.31 ~ r1(v0, v53)) | (r1(v1, v2) & r1(v0, v1) & ~ p1(v1) & ! [v53: $i] :
% 138.19/20.31 ! [v54: $i] : ! [v55: $i] : ( ~ $i(v55) | ~ $i(v54) | ~ $i(v53) | ~
% 138.19/20.31 p1(v53) | ~ r1(v54, v55) | ~ r1(v53, v54) | ~ r1(v1, v53) |
% 138.19/20.31 p1(v54)) & ! [v53: $i] : ! [v54: $i] : ! [v55: $i] : ( ~ $i(v55) |
% 138.19/20.31 ~ $i(v54) | ~ $i(v53) | ~ r1(v54, v55) | ~ r1(v53, v54) | ~ r1(v1,
% 138.19/20.31 v53) | p1(v54) | ? [v56: $i] : ($i(v56) & r1(v53, v56))))) &
% 138.19/20.31 ((r1(v0, v47) & ! [v53: $i] : ! [v54: $i] : ! [v55: $i] : ! [v56: $i] :
% 138.19/20.31 ! [v57: $i] : ! [v58: $i] : ! [v59: $i] : ( ~ $i(v59) | ~ $i(v58) |
% 138.19/20.31 ~ $i(v57) | ~ $i(v56) | ~ $i(v55) | ~ $i(v54) | ~ $i(v53) | ~
% 138.19/20.31 p2(v54) | ~ r1(v58, v59) | ~ r1(v57, v58) | ~ r1(v54, v55) | ~
% 138.19/20.31 r1(v53, v57) | ~ r1(v53, v56) | ~ r1(v53, v54) | ~ r1(v47, v53) |
% 138.19/20.31 p2(v59) | p2(v56) | p2(v55) | ? [v60: $i] : ? [v61: $i] : ($i(v61) &
% 138.19/20.31 $i(v60) & ((p2(v60) & r1(v60, v61) & r1(v59, v60) & ~ p2(v61)) |
% 138.19/20.31 (p2(v60) & r1(v60, v61) & r1(v56, v60) & ~ p2(v61)) | (r1(v57,
% 138.19/20.31 v60) & ~ p2(v60) & ! [v62: $i] : ! [v63: $i] : ( ~ $i(v63)
% 138.19/20.31 | ~ $i(v62) | ~ p2(v62) | ~ r1(v62, v63) | ~ r1(v60, v62)
% 138.19/20.31 | p2(v63)))))) & ! [v53: $i] : ! [v54: $i] : ! [v55: $i] :
% 138.19/20.31 ! [v56: $i] : ! [v57: $i] : ! [v58: $i] : ( ~ $i(v58) | ~ $i(v57) |
% 138.19/20.31 ~ $i(v56) | ~ $i(v55) | ~ $i(v54) | ~ $i(v53) | ~ p2(v54) | ~
% 138.19/20.31 r1(v57, v58) | ~ r1(v56, v57) | ~ r1(v54, v55) | ~ r1(v53, v56) |
% 138.19/20.31 ~ r1(v53, v54) | ~ r1(v47, v53) | p2(v58) | p2(v55) | ? [v59: $i] :
% 138.19/20.31 ? [v60: $i] : ($i(v60) & $i(v59) & ((p2(v59) & r1(v59, v60) & r1(v58,
% 138.19/20.31 v59) & ~ p2(v60)) | (r1(v59, v60) & r1(v53, v59) & ~ p2(v60)
% 138.19/20.31 & ! [v61: $i] : ! [v62: $i] : ( ~ $i(v62) | ~ $i(v61) | ~
% 138.19/20.31 p2(v61) | ~ r1(v61, v62) | ~ r1(v60, v61) | p2(v62))) |
% 138.19/20.32 (r1(v56, v59) & ~ p2(v59) & ! [v61: $i] : ! [v62: $i] : ( ~
% 138.19/20.32 $i(v62) | ~ $i(v61) | ~ p2(v61) | ~ r1(v61, v62) | ~
% 138.19/20.32 r1(v59, v61) | p2(v62)))))) & ! [v53: $i] : ! [v54: $i] : !
% 138.19/20.32 [v55: $i] : ! [v56: $i] : ! [v57: $i] : ( ~ $i(v57) | ~ $i(v56) | ~
% 138.19/20.32 $i(v55) | ~ $i(v54) | ~ $i(v53) | ~ p2(v54) | ~ r1(v54, v55) | ~
% 138.19/20.32 r1(v53, v57) | ~ r1(v53, v56) | ~ r1(v53, v54) | ~ r1(v47, v53) |
% 138.19/20.32 p2(v57) | p2(v56) | p2(v55) | ? [v58: $i] : ? [v59: $i] : ($i(v59) &
% 138.19/20.32 $i(v58) & ((p2(v58) & r1(v58, v59) & r1(v57, v58) & ~ p2(v59)) |
% 138.19/20.32 (p2(v58) & r1(v58, v59) & r1(v56, v58) & ~ p2(v59))))) & ! [v53:
% 138.19/20.32 $i] : ! [v54: $i] : ! [v55: $i] : ! [v56: $i] : ! [v57: $i] : ( ~
% 138.19/20.32 $i(v57) | ~ $i(v56) | ~ $i(v55) | ~ $i(v54) | ~ $i(v53) | ~
% 138.19/20.32 p2(v53) | ~ r1(v56, v57) | ~ r1(v55, v56) | ~ r1(v53, v55) | ~
% 138.19/20.32 r1(v53, v54) | ~ r1(v47, v53) | p2(v57) | p2(v54) | ? [v58: $i] : ?
% 138.19/20.32 [v59: $i] : ($i(v59) & $i(v58) & ((p2(v58) & r1(v58, v59) & r1(v57,
% 138.19/20.32 v58) & ~ p2(v59)) | (p2(v58) & r1(v58, v59) & r1(v54, v58) &
% 138.19/20.32 ~ p2(v59)) | (r1(v55, v58) & ~ p2(v58) & ! [v60: $i] : !
% 138.19/20.32 [v61: $i] : ( ~ $i(v61) | ~ $i(v60) | ~ p2(v60) | ~ r1(v60,
% 138.19/20.32 v61) | ~ r1(v58, v60) | p2(v61)))))) & ! [v53: $i] : !
% 138.19/20.32 [v54: $i] : ! [v55: $i] : ! [v56: $i] : ( ~ $i(v56) | ~ $i(v55) | ~
% 138.19/20.32 $i(v54) | ~ $i(v53) | ~ p2(v54) | ~ r1(v54, v55) | ~ r1(v53, v56)
% 138.19/20.32 | ~ r1(v53, v54) | ~ r1(v47, v53) | p2(v56) | p2(v55) | ? [v57: $i]
% 138.19/20.32 : ? [v58: $i] : ($i(v58) & $i(v57) & ((p2(v57) & r1(v57, v58) &
% 138.19/20.32 r1(v56, v57) & ~ p2(v58)) | (r1(v57, v58) & r1(v53, v57) & ~
% 138.19/20.32 p2(v58) & ! [v59: $i] : ! [v60: $i] : ( ~ $i(v60) | ~ $i(v59)
% 138.19/20.32 | ~ p2(v59) | ~ r1(v59, v60) | ~ r1(v58, v59) |
% 138.19/20.32 p2(v60)))))) & ! [v53: $i] : ! [v54: $i] : ! [v55: $i] : !
% 138.19/20.32 [v56: $i] : ( ~ $i(v56) | ~ $i(v55) | ~ $i(v54) | ~ $i(v53) | ~
% 138.19/20.32 p2(v53) | ~ r1(v55, v56) | ~ r1(v54, v55) | ~ r1(v53, v54) | ~
% 138.19/20.32 r1(v47, v53) | p2(v56) | ? [v57: $i] : ? [v58: $i] : ($i(v58) &
% 138.19/20.32 $i(v57) & ((p2(v57) & r1(v57, v58) & r1(v56, v57) & ~ p2(v58)) |
% 138.19/20.32 (r1(v57, v58) & r1(v53, v57) & ~ p2(v58) & ! [v59: $i] : !
% 138.19/20.32 [v60: $i] : ( ~ $i(v60) | ~ $i(v59) | ~ p2(v59) | ~ r1(v59,
% 138.19/20.32 v60) | ~ r1(v58, v59) | p2(v60))) | (r1(v54, v57) & ~
% 138.19/20.32 p2(v57) & ! [v59: $i] : ! [v60: $i] : ( ~ $i(v60) | ~ $i(v59)
% 138.19/20.32 | ~ p2(v59) | ~ r1(v59, v60) | ~ r1(v57, v59) |
% 138.19/20.32 p2(v60)))))) & ! [v53: $i] : ! [v54: $i] : ! [v55: $i] : (
% 138.19/20.32 ~ $i(v55) | ~ $i(v54) | ~ $i(v53) | ~ p2(v53) | ~ r1(v53, v55) |
% 138.19/20.32 ~ r1(v53, v54) | ~ r1(v47, v53) | p2(v55) | p2(v54) | ? [v56: $i] :
% 138.19/20.32 ? [v57: $i] : ($i(v57) & $i(v56) & ((p2(v56) & r1(v56, v57) & r1(v55,
% 138.19/20.32 v56) & ~ p2(v57)) | (p2(v56) & r1(v56, v57) & r1(v54, v56) &
% 138.19/20.32 ~ p2(v57))))) & ! [v53: $i] : ! [v54: $i] : ( ~ $i(v54) | ~
% 138.19/20.32 $i(v53) | ~ p2(v53) | ~ r1(v53, v54) | ~ r1(v47, v53) | p2(v54) |
% 138.19/20.32 ? [v55: $i] : ? [v56: $i] : ($i(v56) & $i(v55) & ((p2(v55) & r1(v55,
% 138.19/20.32 v56) & r1(v54, v55) & ~ p2(v56)) | (r1(v55, v56) & r1(v53,
% 138.19/20.32 v55) & ~ p2(v56) & ! [v57: $i] : ! [v58: $i] : ( ~ $i(v58)
% 138.19/20.32 | ~ $i(v57) | ~ p2(v57) | ~ r1(v57, v58) | ~ r1(v56, v57)
% 138.19/20.32 | p2(v58)))))) & ((r1(v48, v49) & r1(v47, v48) & ~ p2(v49) &
% 138.19/20.32 ! [v53: $i] : ! [v54: $i] : ( ~ $i(v54) | ~ $i(v53) | ~ p2(v53) |
% 138.19/20.32 ~ r1(v53, v54) | ~ r1(v49, v53) | p2(v54)) & ! [v53: $i] : ( ~
% 138.19/20.32 $i(v53) | ~ r1(v47, v53) | p2(v53) | ? [v54: $i] : ? [v55: $i]
% 138.19/20.32 : ($i(v55) & $i(v54) & p2(v54) & r1(v54, v55) & r1(v53, v54) & ~
% 138.19/20.32 p2(v55)))) | ( ~ p2(v47) & ! [v53: $i] : ! [v54: $i] : ( ~
% 138.19/20.32 $i(v54) | ~ $i(v53) | ~ p2(v53) | ~ r1(v53, v54) | ~ r1(v47,
% 138.19/20.32 v53) | p2(v54))))) | ((p2(v0) | (p2(v47) & r1(v47, v48) & r1(v0,
% 138.19/20.32 v47) & ~ p2(v48))) & ( ! [v53: $i] : ! [v54: $i] : ( ~ $i(v54) |
% 138.19/20.32 ~ $i(v53) | ~ r1(v53, v54) | ~ r1(v0, v53) | p2(v54) | ? [v55:
% 138.19/20.32 $i] : ? [v56: $i] : ($i(v56) & $i(v55) & p2(v55) & r1(v55, v56) &
% 138.19/20.32 r1(v54, v55) & ~ p2(v56))) | (r1(v0, v49) & ~ p2(v49) & ! [v53:
% 138.19/20.32 $i] : ! [v54: $i] : ( ~ $i(v54) | ~ $i(v53) | ~ p2(v53) | ~
% 138.19/20.32 r1(v53, v54) | ~ r1(v49, v53) | p2(v54)))))))
% 138.19/20.32
% 138.19/20.32 Those formulas are unsatisfiable:
% 138.19/20.32 ---------------------------------
% 138.19/20.32
% 138.19/20.32 Begin of proof
% 138.19/20.32 |
% 138.19/20.32 | DELTA: instantiating (main) with fresh symbols all_2_0, all_2_1, all_2_2,
% 138.19/20.32 | all_2_3, all_2_4, all_2_5, all_2_6, all_2_7, all_2_8, all_2_9,
% 138.19/20.32 | all_2_10, all_2_11, all_2_12, all_2_13, all_2_14, all_2_15, all_2_16,
% 138.19/20.32 | all_2_17, all_2_18, all_2_19, all_2_20, all_2_21, all_2_22, all_2_23,
% 138.19/20.32 | all_2_24, all_2_25, all_2_26, all_2_27, all_2_28, all_2_29, all_2_30,
% 138.19/20.32 | all_2_31, all_2_32, all_2_33, all_2_34, all_2_35, all_2_36, all_2_37,
% 138.19/20.32 | all_2_38, all_2_39, all_2_40, all_2_41, all_2_42, all_2_43, all_2_44,
% 138.19/20.32 | all_2_45, all_2_46, all_2_47, all_2_48, all_2_49, all_2_50, all_2_51,
% 138.19/20.32 | all_2_52 gives:
% 138.19/20.39 | (1) $i(all_2_0) & $i(all_2_1) & $i(all_2_2) & $i(all_2_3) & $i(all_2_4) &
% 138.19/20.39 | $i(all_2_5) & $i(all_2_6) & $i(all_2_7) & $i(all_2_8) & $i(all_2_9) &
% 138.19/20.39 | $i(all_2_10) & $i(all_2_11) & $i(all_2_12) & $i(all_2_13) &
% 138.19/20.39 | $i(all_2_14) & $i(all_2_15) & $i(all_2_16) & $i(all_2_17) &
% 138.19/20.39 | $i(all_2_18) & $i(all_2_19) & $i(all_2_20) & $i(all_2_21) &
% 138.19/20.39 | $i(all_2_22) & $i(all_2_23) & $i(all_2_24) & $i(all_2_25) &
% 138.19/20.39 | $i(all_2_26) & $i(all_2_27) & $i(all_2_28) & $i(all_2_29) &
% 138.19/20.39 | $i(all_2_30) & $i(all_2_31) & $i(all_2_32) & $i(all_2_33) &
% 138.19/20.39 | $i(all_2_34) & $i(all_2_35) & $i(all_2_36) & $i(all_2_37) &
% 138.19/20.39 | $i(all_2_38) & $i(all_2_39) & $i(all_2_40) & $i(all_2_41) &
% 138.19/20.39 | $i(all_2_42) & $i(all_2_43) & $i(all_2_44) & $i(all_2_45) &
% 138.19/20.39 | $i(all_2_46) & $i(all_2_47) & $i(all_2_48) & $i(all_2_49) &
% 138.19/20.39 | $i(all_2_50) & $i(all_2_51) & $i(all_2_52) & r1(all_2_52, all_2_0) &
% 138.19/20.39 | r1(all_2_52, all_2_1) & r1(all_2_52, all_2_2) & ~ p1(all_2_2) & ~
% 138.19/20.39 | p2(all_2_1) & ~ p3(all_2_0) & ! [v0: $i] : ( ~ $i(v0) | ~
% 138.19/20.39 | r1(all_2_52, v0) | p1(v0) | ? [v1: $i] : ? [v2: $i] : ($i(v2) &
% 138.19/20.39 | $i(v1) & p1(v1) & r1(v1, v2) & r1(v0, v1) & ~ p1(v2))) & ! [v0:
% 138.19/20.39 | $i] : ( ~ $i(v0) | ~ r1(all_2_52, v0) | p2(v0) | ? [v1: $i] : ?
% 138.19/20.39 | [v2: $i] : ($i(v2) & $i(v1) & p2(v1) & r1(v1, v2) & r1(v0, v1) & ~
% 138.19/20.39 | p2(v2))) & ! [v0: $i] : ( ~ $i(v0) | ~ r1(all_2_52, v0) | p2(v0)
% 138.19/20.39 | | ? [v1: $i] : ($i(v1) & r1(v0, v1) & ~ p2(v1) & ! [v2: $i] : !
% 138.19/20.39 | [v3: $i] : ( ~ $i(v3) | ~ $i(v2) | ~ p2(v2) | ~ r1(v2, v3) | ~
% 138.19/20.39 | r1(v1, v2) | p2(v3)))) & ! [v0: $i] : ( ~ $i(v0) | ~
% 138.19/20.39 | r1(all_2_52, v0) | p3(v0) | ? [v1: $i] : ? [v2: $i] : ($i(v2) &
% 138.19/20.39 | $i(v1) & p3(v1) & r1(v1, v2) & r1(v0, v1) & ~ p3(v2))) &
% 138.19/20.39 | (p4(all_2_52) | p1(all_2_52) | p2(all_2_52) | p3(all_2_52) | ! [v0:
% 138.19/20.39 | $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~
% 138.19/20.39 | $i(v0) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_2_52, v0) |
% 138.19/20.39 | p4(v1) | p4(v0) | p1(v1) | p1(v0) | p2(v1) | p2(v0) | p3(v1) |
% 138.19/20.39 | p3(v0)) | (r1(all_2_17, all_2_16) & r1(all_2_18, all_2_17) &
% 138.19/20.39 | r1(all_2_19, all_2_18) & r1(all_2_52, all_2_19) & ~ p4(all_2_17) &
% 138.19/20.39 | ~ p4(all_2_18) & ~ p4(all_2_19) & ~ p1(all_2_17) & ~
% 138.19/20.39 | p1(all_2_18) & ~ p1(all_2_19) & ~ p2(all_2_17) & ~ p2(all_2_18)
% 138.19/20.39 | & ~ p2(all_2_19) & ~ p3(all_2_17) & ~ p3(all_2_18) & ~
% 138.19/20.39 | p3(all_2_19) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 138.19/20.39 | $i] : ! [v4: $i] : ( ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 138.19/20.39 | $i(v1) | ~ $i(v0) | ~ p4(v0) | ~ r1(v3, v4) | ~ r1(v2, v3) |
% 138.19/20.39 | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_2_19, v0) | p4(v3) |
% 138.19/20.39 | p4(v2) | p4(v1) | p1(v3) | p1(v2) | p1(v1) | p2(v3) | p2(v2) |
% 138.19/20.39 | p2(v1) | p3(v3) | p3(v2) | p3(v1)) & ! [v0: $i] : ! [v1: $i] :
% 138.19/20.39 | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ $i(v4) | ~ $i(v3) |
% 138.19/20.39 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p1(v0) | ~ r1(v3, v4) | ~
% 138.19/20.39 | r1(v2, v3) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_2_19, v0)
% 138.19/20.39 | | p4(v3) | p4(v2) | p4(v1) | p1(v3) | p1(v2) | p1(v1) | p2(v3) |
% 138.19/20.39 | p2(v2) | p2(v1) | p3(v3) | p3(v2) | p3(v1)) & ! [v0: $i] : !
% 138.19/20.39 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ $i(v4) |
% 138.19/20.39 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p2(v0) | ~
% 138.19/20.39 | r1(v3, v4) | ~ r1(v2, v3) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~
% 138.19/20.39 | r1(all_2_19, v0) | p4(v3) | p4(v2) | p4(v1) | p1(v3) | p1(v2) |
% 138.19/20.39 | p1(v1) | p2(v3) | p2(v2) | p2(v1) | p3(v3) | p3(v2) | p3(v1)) &
% 138.19/20.39 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i]
% 138.19/20.39 | : ( ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 138.19/20.39 | p3(v0) | ~ r1(v3, v4) | ~ r1(v2, v3) | ~ r1(v1, v2) | ~
% 138.19/20.39 | r1(v0, v1) | ~ r1(all_2_19, v0) | p4(v3) | p4(v2) | p4(v1) |
% 138.19/20.39 | p1(v3) | p1(v2) | p1(v1) | p2(v3) | p2(v2) | p2(v1) | p3(v3) |
% 138.19/20.39 | p3(v2) | p3(v1)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 138.19/20.39 | [v3: $i] : ! [v4: $i] : ( ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 138.19/20.39 | $i(v1) | ~ $i(v0) | ~ r1(v3, v4) | ~ r1(v2, v3) | ~ r1(v1,
% 138.19/20.39 | v2) | ~ r1(v0, v1) | ~ r1(all_2_19, v0) | p4(v3) | p4(v2) |
% 138.19/20.39 | p4(v1) | p1(v3) | p1(v2) | p1(v1) | p2(v3) | p2(v2) | p2(v1) |
% 138.19/20.39 | p3(v3) | p3(v2) | p3(v1) | ? [v5: $i] : ? [v6: $i] : ? [v7:
% 138.19/20.39 | $i] : ($i(v7) & $i(v6) & $i(v5) & r1(v6, v7) & r1(v5, v6) &
% 138.19/20.39 | r1(v0, v5) & ~ p4(v6) & ~ p4(v5) & ~ p1(v6) & ~ p1(v5) & ~
% 138.19/20.39 | p2(v6) & ~ p2(v5) & ~ p3(v6) & ~ p3(v5))))) & (p4(all_2_52)
% 138.19/20.39 | | p1(all_2_52) | p2(all_2_52) | p3(all_2_52) | ! [v0: $i] : ! [v1:
% 138.19/20.39 | $i] : ( ~ $i(v1) | ~ $i(v0) | ~ r1(v0, v1) | ~ r1(all_2_52, v0)
% 138.19/20.39 | | p4(v0) | p1(v0) | p2(v0) | p3(v0)) | (r1(all_2_33, all_2_32) &
% 138.19/20.39 | r1(all_2_34, all_2_33) & r1(all_2_52, all_2_34) & ~ p4(all_2_33) &
% 138.19/20.39 | ~ p4(all_2_34) & ~ p1(all_2_33) & ~ p1(all_2_34) & ~
% 138.19/20.39 | p2(all_2_33) & ~ p2(all_2_34) & ~ p3(all_2_33) & ~ p3(all_2_34)
% 138.19/20.39 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 138.19/20.39 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p4(v0) | ~
% 138.19/20.39 | r1(v2, v3) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_2_34, v0)
% 138.19/20.39 | | p4(v2) | p4(v1) | p1(v2) | p1(v1) | p2(v2) | p2(v1) | p3(v2) |
% 138.19/20.39 | p3(v1)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] :
% 138.19/20.39 | ( ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p1(v0) | ~
% 138.19/20.39 | r1(v2, v3) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_2_34, v0)
% 138.19/20.39 | | p4(v2) | p4(v1) | p1(v2) | p1(v1) | p2(v2) | p2(v1) | p3(v2) |
% 138.19/20.39 | p3(v1)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] :
% 138.19/20.39 | ( ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p2(v0) | ~
% 138.19/20.39 | r1(v2, v3) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_2_34, v0)
% 138.19/20.39 | | p4(v2) | p4(v1) | p1(v2) | p1(v1) | p2(v2) | p2(v1) | p3(v2) |
% 138.19/20.39 | p3(v1)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] :
% 138.19/20.39 | ( ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p3(v0) | ~
% 138.19/20.39 | r1(v2, v3) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_2_34, v0)
% 138.19/20.39 | | p4(v2) | p4(v1) | p1(v2) | p1(v1) | p2(v2) | p2(v1) | p3(v2) |
% 138.19/20.39 | p3(v1)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] :
% 138.19/20.39 | ( ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ r1(v2, v3) | ~
% 138.19/20.39 | r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_2_34, v0) | p4(v2) |
% 138.19/20.39 | p4(v1) | p1(v2) | p1(v1) | p2(v2) | p2(v1) | p3(v2) | p3(v1) | ?
% 138.19/20.39 | [v4: $i] : ? [v5: $i] : ($i(v5) & $i(v4) & r1(v4, v5) & r1(v0,
% 138.19/20.39 | v4) & ~ p4(v4) & ~ p1(v4) & ~ p2(v4) & ~ p3(v4))))) &
% 138.19/20.39 | (p4(all_2_52) | p1(all_2_52) | p2(all_2_52) | p3(all_2_52) | ! [v0:
% 138.19/20.39 | $i] : ( ~ $i(v0) | ~ r1(all_2_52, v0)) | (r1(all_2_45, all_2_44) &
% 138.19/20.39 | r1(all_2_52, all_2_45) & ~ p4(all_2_45) & ~ p1(all_2_45) & ~
% 138.19/20.39 | p2(all_2_45) & ~ p3(all_2_45) & ! [v0: $i] : ! [v1: $i] : !
% 138.19/20.39 | [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p4(v0) | ~
% 138.19/20.39 | r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_2_45, v0) | p4(v1) |
% 138.19/20.39 | p1(v1) | p2(v1) | p3(v1)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 138.19/20.39 | $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p1(v0) | ~ r1(v1,
% 138.19/20.39 | v2) | ~ r1(v0, v1) | ~ r1(all_2_45, v0) | p4(v1) | p1(v1) |
% 138.19/20.39 | p2(v1) | p3(v1)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 138.19/20.39 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p2(v0) | ~ r1(v1, v2) | ~
% 138.19/20.39 | r1(v0, v1) | ~ r1(all_2_45, v0) | p4(v1) | p1(v1) | p2(v1) |
% 138.19/20.39 | p3(v1)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) |
% 138.19/20.39 | ~ $i(v1) | ~ $i(v0) | ~ p3(v0) | ~ r1(v1, v2) | ~ r1(v0, v1)
% 138.19/20.39 | | ~ r1(all_2_45, v0) | p4(v1) | p1(v1) | p2(v1) | p3(v1)) & !
% 138.19/20.39 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~
% 138.19/20.39 | $i(v0) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_2_45, v0) |
% 138.19/20.39 | p4(v1) | p1(v1) | p2(v1) | p3(v1) | ? [v3: $i] : ($i(v3) &
% 138.19/20.39 | r1(v0, v3))))) & (p1(all_2_52) | p2(all_2_52) | p3(all_2_52) |
% 138.19/20.39 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~
% 138.19/20.39 | $i(v0) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_2_52, v0) |
% 138.19/20.39 | p4(v1) | p4(v0) | p1(v1) | p1(v0) | p2(v1) | p2(v0) | p3(v1) |
% 138.19/20.39 | p3(v0)) | (r1(all_2_21, all_2_20) & r1(all_2_22, all_2_21) &
% 138.19/20.39 | r1(all_2_23, all_2_22) & r1(all_2_52, all_2_23) & ~ p4(all_2_21) &
% 138.19/20.39 | ~ p4(all_2_22) & ~ p1(all_2_21) & ~ p1(all_2_22) & ~
% 138.19/20.39 | p1(all_2_23) & ~ p2(all_2_21) & ~ p2(all_2_22) & ~ p2(all_2_23)
% 138.19/20.39 | & ~ p3(all_2_21) & ~ p3(all_2_22) & ~ p3(all_2_23) & ! [v0: $i]
% 138.19/20.39 | : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 138.19/20.39 | $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 138.19/20.39 | p1(v0) | ~ r1(v3, v4) | ~ r1(v2, v3) | ~ r1(v1, v2) | ~
% 138.19/20.39 | r1(v0, v1) | ~ r1(all_2_23, v0) | p4(v3) | p4(v2) | p1(v3) |
% 138.19/20.39 | p1(v2) | p1(v1) | p2(v3) | p2(v2) | p2(v1) | p3(v3) | p3(v2) |
% 138.19/20.39 | p3(v1)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] :
% 138.19/20.39 | ! [v4: $i] : ( ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 138.19/20.39 | $i(v0) | ~ p2(v0) | ~ r1(v3, v4) | ~ r1(v2, v3) | ~ r1(v1,
% 138.19/20.39 | v2) | ~ r1(v0, v1) | ~ r1(all_2_23, v0) | p4(v3) | p4(v2) |
% 138.19/20.39 | p1(v3) | p1(v2) | p1(v1) | p2(v3) | p2(v2) | p2(v1) | p3(v3) |
% 138.19/20.39 | p3(v2) | p3(v1)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 138.19/20.39 | [v3: $i] : ! [v4: $i] : ( ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 138.19/20.39 | $i(v1) | ~ $i(v0) | ~ p3(v0) | ~ r1(v3, v4) | ~ r1(v2, v3) |
% 138.19/20.39 | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_2_23, v0) | p4(v3) |
% 138.19/20.39 | p4(v2) | p1(v3) | p1(v2) | p1(v1) | p2(v3) | p2(v2) | p2(v1) |
% 138.19/20.39 | p3(v3) | p3(v2) | p3(v1)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 138.19/20.39 | $i] : ! [v3: $i] : ! [v4: $i] : ( ~ $i(v4) | ~ $i(v3) | ~
% 138.19/20.39 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ r1(v3, v4) | ~ r1(v2, v3) |
% 138.19/20.39 | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_2_23, v0) | p4(v3) |
% 138.19/20.39 | p4(v2) | p1(v3) | p1(v2) | p1(v1) | p2(v3) | p2(v2) | p2(v1) |
% 138.19/20.39 | p3(v3) | p3(v2) | p3(v1) | ? [v5: $i] : ? [v6: $i] : ? [v7:
% 138.19/20.39 | $i] : ($i(v7) & $i(v6) & $i(v5) & r1(v6, v7) & r1(v5, v6) &
% 138.19/20.39 | r1(v0, v5) & ~ p4(v6) & ~ p4(v5) & ~ p1(v6) & ~ p1(v5) & ~
% 138.19/20.39 | p2(v6) & ~ p2(v5) & ~ p3(v6) & ~ p3(v5))))) & (p1(all_2_52)
% 138.19/20.39 | | p2(all_2_52) | p3(all_2_52) | ! [v0: $i] : ! [v1: $i] : ( ~
% 138.19/20.39 | $i(v1) | ~ $i(v0) | ~ r1(v0, v1) | ~ r1(all_2_52, v0) | p4(v0) |
% 138.19/20.39 | p1(v0) | p2(v0) | p3(v0)) | (r1(all_2_36, all_2_35) & r1(all_2_37,
% 138.19/20.39 | all_2_36) & r1(all_2_52, all_2_37) & ~ p4(all_2_36) & ~
% 138.19/20.39 | p1(all_2_36) & ~ p1(all_2_37) & ~ p2(all_2_36) & ~ p2(all_2_37)
% 138.19/20.39 | & ~ p3(all_2_36) & ~ p3(all_2_37) & ! [v0: $i] : ! [v1: $i] :
% 138.19/20.39 | ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 138.19/20.39 | $i(v0) | ~ p1(v0) | ~ r1(v2, v3) | ~ r1(v1, v2) | ~ r1(v0,
% 138.19/20.39 | v1) | ~ r1(all_2_37, v0) | p4(v2) | p1(v2) | p1(v1) | p2(v2) |
% 138.19/20.39 | p2(v1) | p3(v2) | p3(v1)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 138.19/20.39 | $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 138.19/20.39 | $i(v0) | ~ p2(v0) | ~ r1(v2, v3) | ~ r1(v1, v2) | ~ r1(v0,
% 138.19/20.39 | v1) | ~ r1(all_2_37, v0) | p4(v2) | p1(v2) | p1(v1) | p2(v2) |
% 138.19/20.39 | p2(v1) | p3(v2) | p3(v1)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 138.19/20.39 | $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 138.19/20.39 | $i(v0) | ~ p3(v0) | ~ r1(v2, v3) | ~ r1(v1, v2) | ~ r1(v0,
% 138.19/20.39 | v1) | ~ r1(all_2_37, v0) | p4(v2) | p1(v2) | p1(v1) | p2(v2) |
% 138.19/20.39 | p2(v1) | p3(v2) | p3(v1)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 138.19/20.39 | $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 138.19/20.39 | $i(v0) | ~ r1(v2, v3) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~
% 138.19/20.39 | r1(all_2_37, v0) | p4(v2) | p1(v2) | p1(v1) | p2(v2) | p2(v1) |
% 138.19/20.39 | p3(v2) | p3(v1) | ? [v4: $i] : ? [v5: $i] : ($i(v5) & $i(v4) &
% 138.19/20.39 | r1(v4, v5) & r1(v0, v4) & ~ p4(v4) & ~ p1(v4) & ~ p2(v4) &
% 138.19/20.39 | ~ p3(v4))))) & (p1(all_2_52) | p2(all_2_52) | p3(all_2_52) | !
% 138.19/20.39 | [v0: $i] : ( ~ $i(v0) | ~ r1(all_2_52, v0)) | (r1(all_2_47,
% 138.19/20.39 | all_2_46) & r1(all_2_52, all_2_47) & ~ p1(all_2_47) & ~
% 138.19/20.39 | p2(all_2_47) & ~ p3(all_2_47) & ! [v0: $i] : ! [v1: $i] : !
% 138.19/20.39 | [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p1(v0) | ~
% 138.19/20.39 | r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_2_47, v0) | p1(v1) |
% 138.19/20.39 | p2(v1) | p3(v1)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 138.19/20.39 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p2(v0) | ~ r1(v1, v2) | ~
% 138.19/20.39 | r1(v0, v1) | ~ r1(all_2_47, v0) | p1(v1) | p2(v1) | p3(v1)) & !
% 138.19/20.39 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~
% 138.19/20.39 | $i(v0) | ~ p3(v0) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~
% 138.19/20.39 | r1(all_2_47, v0) | p1(v1) | p2(v1) | p3(v1)) & ! [v0: $i] : !
% 138.19/20.39 | [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 138.19/20.39 | r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_2_47, v0) | p1(v1) |
% 138.19/20.39 | p2(v1) | p3(v1) | ? [v3: $i] : ($i(v3) & r1(v0, v3))))) &
% 138.19/20.39 | (p1(all_2_52) | p2(all_2_52) | ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 138.19/20.40 | : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 138.19/20.40 | r1(v2, v3) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_2_52, v0) |
% 138.19/20.40 | p4(v2) | p4(v1) | p4(v0) | p1(v2) | p1(v1) | p1(v0) | p2(v2) |
% 138.19/20.40 | p2(v1) | p2(v0) | p3(v2) | p3(v1) | p3(v0)) | (r1(all_2_7, all_2_6)
% 138.19/20.40 | & r1(all_2_8, all_2_7) & r1(all_2_9, all_2_8) & r1(all_2_10,
% 138.19/20.40 | all_2_9) & r1(all_2_52, all_2_10) & ~ p4(all_2_7) & ~
% 138.19/20.40 | p4(all_2_8) & ~ p4(all_2_9) & ~ p1(all_2_7) & ~ p1(all_2_8) & ~
% 138.19/20.40 | p1(all_2_9) & ~ p1(all_2_10) & ~ p2(all_2_7) & ~ p2(all_2_8) &
% 138.19/20.40 | ~ p2(all_2_9) & ~ p2(all_2_10) & ~ p3(all_2_7) & ~ p3(all_2_8) &
% 138.19/20.40 | ~ p3(all_2_9) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 138.19/20.40 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~ $i(v5) | ~ $i(v4) | ~
% 138.19/20.40 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p1(v0) | ~
% 138.19/20.40 | r1(v4, v5) | ~ r1(v3, v4) | ~ r1(v2, v3) | ~ r1(v1, v2) | ~
% 138.19/20.40 | r1(v0, v1) | ~ r1(all_2_10, v0) | p4(v4) | p4(v3) | p4(v2) |
% 138.19/20.40 | p1(v4) | p1(v3) | p1(v2) | p1(v1) | p2(v4) | p2(v3) | p2(v2) |
% 138.19/20.40 | p2(v1) | p3(v4) | p3(v3) | p3(v2)) & ! [v0: $i] : ! [v1: $i] :
% 138.19/20.40 | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ $i(v5) |
% 138.19/20.40 | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 138.19/20.40 | p2(v0) | ~ r1(v4, v5) | ~ r1(v3, v4) | ~ r1(v2, v3) | ~
% 138.19/20.40 | r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_2_10, v0) | p4(v4) |
% 138.19/20.40 | p4(v3) | p4(v2) | p1(v4) | p1(v3) | p1(v2) | p1(v1) | p2(v4) |
% 138.19/20.40 | p2(v3) | p2(v2) | p2(v1) | p3(v4) | p3(v3) | p3(v2)) & ! [v0:
% 138.19/20.40 | $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 138.19/20.40 | [v5: $i] : ( ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 138.19/20.40 | $i(v1) | ~ $i(v0) | ~ r1(v4, v5) | ~ r1(v3, v4) | ~ r1(v2,
% 138.19/20.40 | v3) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_2_10, v0) |
% 138.19/20.40 | p4(v4) | p4(v3) | p4(v2) | p1(v4) | p1(v3) | p1(v2) | p1(v1) |
% 138.19/20.40 | p2(v4) | p2(v3) | p2(v2) | p2(v1) | p3(v4) | p3(v3) | p3(v2) | ?
% 138.19/20.40 | [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ($i(v9) &
% 138.19/20.40 | $i(v8) & $i(v7) & $i(v6) & r1(v8, v9) & r1(v7, v8) & r1(v6, v7)
% 138.19/20.40 | & r1(v0, v6) & ~ p4(v8) & ~ p4(v7) & ~ p4(v6) & ~ p1(v8) &
% 138.19/20.40 | ~ p1(v7) & ~ p1(v6) & ~ p2(v8) & ~ p2(v7) & ~ p2(v6) & ~
% 138.19/20.40 | p3(v8) & ~ p3(v7) & ~ p3(v6))))) & (p1(all_2_52) |
% 138.19/20.40 | p2(all_2_52) | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) |
% 138.19/20.40 | ~ $i(v1) | ~ $i(v0) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~
% 138.19/20.40 | r1(all_2_52, v0) | p4(v1) | p4(v0) | p1(v1) | p1(v0) | p2(v1) |
% 138.19/20.40 | p2(v0) | p3(v1) | p3(v0)) | (r1(all_2_25, all_2_24) & r1(all_2_26,
% 138.19/20.40 | all_2_25) & r1(all_2_27, all_2_26) & r1(all_2_52, all_2_27) & ~
% 138.19/20.40 | p4(all_2_25) & ~ p4(all_2_26) & ~ p1(all_2_25) & ~ p1(all_2_26)
% 138.19/20.40 | & ~ p1(all_2_27) & ~ p2(all_2_25) & ~ p2(all_2_26) & ~
% 138.19/20.40 | p2(all_2_27) & ~ p3(all_2_25) & ~ p3(all_2_26) & ! [v0: $i] : !
% 138.19/20.40 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ $i(v4) |
% 138.19/20.40 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p1(v0) | ~
% 138.19/20.40 | r1(v3, v4) | ~ r1(v2, v3) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~
% 138.19/20.40 | r1(all_2_27, v0) | p4(v3) | p4(v2) | p1(v3) | p1(v2) | p1(v1) |
% 138.19/20.40 | p2(v3) | p2(v2) | p2(v1) | p3(v3) | p3(v2)) & ! [v0: $i] : !
% 138.19/20.40 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ $i(v4) |
% 138.19/20.40 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p2(v0) | ~
% 138.19/20.40 | r1(v3, v4) | ~ r1(v2, v3) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~
% 138.19/20.40 | r1(all_2_27, v0) | p4(v3) | p4(v2) | p1(v3) | p1(v2) | p1(v1) |
% 138.19/20.40 | p2(v3) | p2(v2) | p2(v1) | p3(v3) | p3(v2)) & ! [v0: $i] : !
% 138.19/20.40 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ $i(v4) |
% 138.19/20.40 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ r1(v3, v4) | ~
% 138.19/20.40 | r1(v2, v3) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_2_27, v0)
% 138.19/20.40 | | p4(v3) | p4(v2) | p1(v3) | p1(v2) | p1(v1) | p2(v3) | p2(v2) |
% 138.19/20.40 | p2(v1) | p3(v3) | p3(v2) | ? [v5: $i] : ? [v6: $i] : ? [v7:
% 138.19/20.40 | $i] : ($i(v7) & $i(v6) & $i(v5) & r1(v6, v7) & r1(v5, v6) &
% 138.19/20.40 | r1(v0, v5) & ~ p4(v6) & ~ p4(v5) & ~ p1(v6) & ~ p1(v5) & ~
% 138.19/20.40 | p2(v6) & ~ p2(v5) & ~ p3(v6) & ~ p3(v5))))) & (p1(all_2_52)
% 138.19/20.40 | | p2(all_2_52) | ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) |
% 138.19/20.40 | ~ r1(v0, v1) | ~ r1(all_2_52, v0) | p4(v0) | p1(v0) | p2(v0) |
% 138.19/20.40 | p3(v0)) | (r1(all_2_39, all_2_38) & r1(all_2_40, all_2_39) &
% 138.19/20.40 | r1(all_2_52, all_2_40) & ~ p4(all_2_39) & ~ p1(all_2_39) & ~
% 138.19/20.40 | p1(all_2_40) & ~ p2(all_2_39) & ~ p2(all_2_40) & ~ p3(all_2_39)
% 138.19/20.40 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 138.19/20.40 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p1(v0) | ~
% 138.19/20.40 | r1(v2, v3) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_2_40, v0)
% 138.19/20.40 | | p4(v2) | p1(v2) | p1(v1) | p2(v2) | p2(v1) | p3(v2)) & ! [v0:
% 138.19/20.40 | $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~
% 138.19/20.40 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p2(v0) | ~ r1(v2, v3) | ~
% 138.19/20.40 | r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_2_40, v0) | p4(v2) |
% 138.19/20.40 | p1(v2) | p1(v1) | p2(v2) | p2(v1) | p3(v2)) & ! [v0: $i] : !
% 138.19/20.40 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) | ~
% 138.19/20.40 | $i(v1) | ~ $i(v0) | ~ r1(v2, v3) | ~ r1(v1, v2) | ~ r1(v0,
% 138.19/20.40 | v1) | ~ r1(all_2_40, v0) | p4(v2) | p1(v2) | p1(v1) | p2(v2) |
% 138.19/20.40 | p2(v1) | p3(v2) | ? [v4: $i] : ? [v5: $i] : ($i(v5) & $i(v4) &
% 138.19/20.40 | r1(v4, v5) & r1(v0, v4) & ~ p4(v4) & ~ p1(v4) & ~ p2(v4) &
% 138.19/20.40 | ~ p3(v4))))) & (p1(all_2_52) | p2(all_2_52) | ! [v0: $i] : ( ~
% 138.19/20.40 | $i(v0) | ~ r1(all_2_52, v0)) | (r1(all_2_49, all_2_48) &
% 138.19/20.40 | r1(all_2_52, all_2_49) & ~ p1(all_2_49) & ~ p2(all_2_49) & !
% 138.19/20.40 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~
% 138.19/20.40 | $i(v0) | ~ p1(v0) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~
% 138.19/20.40 | r1(all_2_49, v0) | p1(v1) | p2(v1)) & ! [v0: $i] : ! [v1: $i] :
% 138.19/20.40 | ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p2(v0) | ~
% 138.19/20.40 | r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_2_49, v0) | p1(v1) |
% 138.19/20.40 | p2(v1)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) |
% 138.19/20.40 | ~ $i(v1) | ~ $i(v0) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~
% 138.19/20.40 | r1(all_2_49, v0) | p1(v1) | p2(v1) | ? [v3: $i] : ($i(v3) &
% 138.19/20.40 | r1(v0, v3))))) & (p1(all_2_52) | ! [v0: $i] : ! [v1: $i] : !
% 138.19/20.40 | [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 138.19/20.40 | $i(v0) | ~ r1(v2, v3) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~
% 138.19/20.40 | r1(all_2_52, v0) | p4(v2) | p4(v1) | p4(v0) | p1(v2) | p1(v1) |
% 138.19/20.40 | p1(v0) | p2(v2) | p2(v1) | p2(v0) | p3(v2) | p3(v1) | p3(v0)) |
% 138.19/20.40 | (r1(all_2_12, all_2_11) & r1(all_2_13, all_2_12) & r1(all_2_14,
% 138.19/20.40 | all_2_13) & r1(all_2_15, all_2_14) & r1(all_2_52, all_2_15) & ~
% 138.19/20.40 | p4(all_2_12) & ~ p4(all_2_13) & ~ p4(all_2_14) & ~ p1(all_2_12)
% 138.19/20.40 | & ~ p1(all_2_13) & ~ p1(all_2_14) & ~ p1(all_2_15) & ~
% 138.19/20.40 | p2(all_2_12) & ~ p2(all_2_13) & ~ p2(all_2_14) & ~ p3(all_2_12)
% 138.19/20.40 | & ~ p3(all_2_13) & ~ p3(all_2_14) & ! [v0: $i] : ! [v1: $i] :
% 138.19/20.40 | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ $i(v5) |
% 138.19/20.40 | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 138.19/20.40 | p1(v0) | ~ r1(v4, v5) | ~ r1(v3, v4) | ~ r1(v2, v3) | ~
% 138.19/20.40 | r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_2_15, v0) | p4(v4) |
% 138.19/20.40 | p4(v3) | p4(v2) | p1(v4) | p1(v3) | p1(v2) | p1(v1) | p2(v4) |
% 138.19/20.40 | p2(v3) | p2(v2) | p3(v4) | p3(v3) | p3(v2)) & ! [v0: $i] : !
% 138.19/20.40 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] :
% 138.19/20.40 | ( ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 138.19/20.40 | $i(v0) | ~ r1(v4, v5) | ~ r1(v3, v4) | ~ r1(v2, v3) | ~
% 138.19/20.40 | r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_2_15, v0) | p4(v4) |
% 138.19/20.40 | p4(v3) | p4(v2) | p1(v4) | p1(v3) | p1(v2) | p1(v1) | p2(v4) |
% 138.19/20.40 | p2(v3) | p2(v2) | p3(v4) | p3(v3) | p3(v2) | ? [v6: $i] : ?
% 138.19/20.40 | [v7: $i] : ? [v8: $i] : ? [v9: $i] : ($i(v9) & $i(v8) & $i(v7)
% 138.19/20.40 | & $i(v6) & r1(v8, v9) & r1(v7, v8) & r1(v6, v7) & r1(v0, v6) &
% 138.19/20.40 | ~ p4(v8) & ~ p4(v7) & ~ p4(v6) & ~ p1(v8) & ~ p1(v7) & ~
% 138.19/20.40 | p1(v6) & ~ p2(v8) & ~ p2(v7) & ~ p2(v6) & ~ p3(v8) & ~
% 138.19/20.40 | p3(v7) & ~ p3(v6))))) & (p1(all_2_52) | ! [v0: $i] : ! [v1:
% 138.19/20.40 | $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ r1(v1,
% 138.19/20.40 | v2) | ~ r1(v0, v1) | ~ r1(all_2_52, v0) | p4(v1) | p4(v0) |
% 138.19/20.40 | p1(v1) | p1(v0) | p2(v1) | p2(v0) | p3(v1) | p3(v0)) |
% 138.19/20.40 | (r1(all_2_29, all_2_28) & r1(all_2_30, all_2_29) & r1(all_2_31,
% 138.19/20.40 | all_2_30) & r1(all_2_52, all_2_31) & ~ p4(all_2_29) & ~
% 138.19/20.40 | p4(all_2_30) & ~ p1(all_2_29) & ~ p1(all_2_30) & ~ p1(all_2_31)
% 138.19/20.40 | & ~ p2(all_2_29) & ~ p2(all_2_30) & ~ p3(all_2_29) & ~
% 138.19/20.40 | p3(all_2_30) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 138.19/20.40 | $i] : ! [v4: $i] : ( ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 138.19/20.40 | $i(v1) | ~ $i(v0) | ~ p1(v0) | ~ r1(v3, v4) | ~ r1(v2, v3) |
% 138.19/20.40 | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_2_31, v0) | p4(v3) |
% 138.19/20.40 | p4(v2) | p1(v3) | p1(v2) | p1(v1) | p2(v3) | p2(v2) | p3(v3) |
% 138.19/20.40 | p3(v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] :
% 138.19/20.40 | ! [v4: $i] : ( ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 138.19/20.40 | $i(v0) | ~ r1(v3, v4) | ~ r1(v2, v3) | ~ r1(v1, v2) | ~
% 138.19/20.40 | r1(v0, v1) | ~ r1(all_2_31, v0) | p4(v3) | p4(v2) | p1(v3) |
% 138.19/20.40 | p1(v2) | p1(v1) | p2(v3) | p2(v2) | p3(v3) | p3(v2) | ? [v5: $i]
% 138.19/20.40 | : ? [v6: $i] : ? [v7: $i] : ($i(v7) & $i(v6) & $i(v5) & r1(v6,
% 138.19/20.40 | v7) & r1(v5, v6) & r1(v0, v5) & ~ p4(v6) & ~ p4(v5) & ~
% 138.19/20.40 | p1(v6) & ~ p1(v5) & ~ p2(v6) & ~ p2(v5) & ~ p3(v6) & ~
% 138.19/20.40 | p3(v5))))) & (p1(all_2_52) | ! [v0: $i] : ! [v1: $i] : ( ~
% 138.19/20.40 | $i(v1) | ~ $i(v0) | ~ r1(v0, v1) | ~ r1(all_2_52, v0) | p4(v0) |
% 138.19/20.40 | p1(v0) | p2(v0) | p3(v0)) | (r1(all_2_42, all_2_41) & r1(all_2_43,
% 138.19/20.40 | all_2_42) & r1(all_2_52, all_2_43) & ~ p4(all_2_42) & ~
% 138.19/20.40 | p1(all_2_42) & ~ p1(all_2_43) & ~ p2(all_2_42) & ~ p3(all_2_42)
% 138.19/20.40 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 138.19/20.40 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p1(v0) | ~
% 138.19/20.40 | r1(v2, v3) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_2_43, v0)
% 138.19/20.40 | | p4(v2) | p1(v2) | p1(v1) | p2(v2) | p3(v2)) & ! [v0: $i] : !
% 138.19/20.40 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) | ~
% 138.19/20.40 | $i(v1) | ~ $i(v0) | ~ r1(v2, v3) | ~ r1(v1, v2) | ~ r1(v0,
% 138.19/20.40 | v1) | ~ r1(all_2_43, v0) | p4(v2) | p1(v2) | p1(v1) | p2(v2) |
% 138.19/20.40 | p3(v2) | ? [v4: $i] : ? [v5: $i] : ($i(v5) & $i(v4) & r1(v4,
% 138.19/20.40 | v5) & r1(v0, v4) & ~ p4(v4) & ~ p1(v4) & ~ p2(v4) & ~
% 138.19/20.40 | p3(v4))))) & (p1(all_2_52) | ! [v0: $i] : ( ~ $i(v0) | ~
% 138.19/20.40 | r1(all_2_52, v0)) | (r1(all_2_51, all_2_50) & r1(all_2_52,
% 138.19/20.40 | all_2_51) & ~ p1(all_2_51) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 138.19/20.40 | $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p1(v0) | ~ r1(v1,
% 138.19/20.40 | v2) | ~ r1(v0, v1) | ~ r1(all_2_51, v0) | p1(v1)) & ! [v0:
% 138.19/20.40 | $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~
% 138.19/20.40 | $i(v0) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_2_51, v0) |
% 138.19/20.40 | p1(v1) | ? [v3: $i] : ($i(v3) & r1(v0, v3))))) & ((r1(all_2_52,
% 138.19/20.40 | all_2_5) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i]
% 138.19/20.40 | : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~ $i(v6) | ~ $i(v5)
% 138.19/20.40 | | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 138.19/20.40 | p2(v1) | ~ r1(v5, v6) | ~ r1(v4, v5) | ~ r1(v1, v2) | ~
% 138.19/20.40 | r1(v0, v4) | ~ r1(v0, v3) | ~ r1(v0, v1) | ~ r1(all_2_5, v0) |
% 138.19/20.40 | p2(v6) | p2(v3) | p2(v2) | ? [v7: $i] : ? [v8: $i] : ($i(v8) &
% 138.19/20.40 | $i(v7) & ((p2(v7) & r1(v7, v8) & r1(v6, v7) & ~ p2(v8)) |
% 138.19/20.40 | (p2(v7) & r1(v7, v8) & r1(v3, v7) & ~ p2(v8)) | (r1(v4, v7)
% 138.19/20.40 | & ~ p2(v7) & ! [v9: $i] : ! [v10: $i] : ( ~ $i(v10) | ~
% 138.19/20.40 | $i(v9) | ~ p2(v9) | ~ r1(v9, v10) | ~ r1(v7, v9) |
% 138.19/20.40 | p2(v10)))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 138.19/20.40 | ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ $i(v5) | ~ $i(v4) |
% 138.19/20.40 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p2(v1) | ~
% 138.19/20.40 | r1(v4, v5) | ~ r1(v3, v4) | ~ r1(v1, v2) | ~ r1(v0, v3) | ~
% 138.19/20.40 | r1(v0, v1) | ~ r1(all_2_5, v0) | p2(v5) | p2(v2) | ? [v6: $i] :
% 138.19/20.40 | ? [v7: $i] : ($i(v7) & $i(v6) & ((p2(v6) & r1(v6, v7) & r1(v5,
% 138.19/20.40 | v6) & ~ p2(v7)) | (r1(v6, v7) & r1(v0, v6) & ~ p2(v7) &
% 138.19/20.40 | ! [v8: $i] : ! [v9: $i] : ( ~ $i(v9) | ~ $i(v8) | ~
% 138.19/20.40 | p2(v8) | ~ r1(v8, v9) | ~ r1(v7, v8) | p2(v9))) |
% 138.19/20.40 | (r1(v3, v6) & ~ p2(v6) & ! [v8: $i] : ! [v9: $i] : ( ~
% 138.19/20.40 | $i(v9) | ~ $i(v8) | ~ p2(v8) | ~ r1(v8, v9) | ~
% 138.19/20.40 | r1(v6, v8) | p2(v9)))))) & ! [v0: $i] : ! [v1: $i] : !
% 138.19/20.40 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ $i(v4) | ~ $i(v3) | ~
% 138.19/20.40 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p2(v1) | ~ r1(v1, v2) | ~
% 138.19/20.40 | r1(v0, v4) | ~ r1(v0, v3) | ~ r1(v0, v1) | ~ r1(all_2_5, v0) |
% 138.19/20.40 | p2(v4) | p2(v3) | p2(v2) | ? [v5: $i] : ? [v6: $i] : ($i(v6) &
% 138.19/20.40 | $i(v5) & ((p2(v5) & r1(v5, v6) & r1(v4, v5) & ~ p2(v6)) |
% 138.19/20.40 | (p2(v5) & r1(v5, v6) & r1(v3, v5) & ~ p2(v6))))) & ! [v0:
% 138.19/20.40 | $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 138.19/20.40 | $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 138.19/20.40 | p2(v0) | ~ r1(v3, v4) | ~ r1(v2, v3) | ~ r1(v0, v2) | ~
% 138.19/20.40 | r1(v0, v1) | ~ r1(all_2_5, v0) | p2(v4) | p2(v1) | ? [v5: $i] :
% 138.19/20.40 | ? [v6: $i] : ($i(v6) & $i(v5) & ((p2(v5) & r1(v5, v6) & r1(v4,
% 138.19/20.40 | v5) & ~ p2(v6)) | (p2(v5) & r1(v5, v6) & r1(v1, v5) & ~
% 138.19/20.40 | p2(v6)) | (r1(v2, v5) & ~ p2(v5) & ! [v7: $i] : ! [v8:
% 138.19/20.40 | $i] : ( ~ $i(v8) | ~ $i(v7) | ~ p2(v7) | ~ r1(v7, v8)
% 138.19/20.40 | | ~ r1(v5, v7) | p2(v8)))))) & ! [v0: $i] : ! [v1: $i]
% 138.19/20.40 | : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) | ~ $i(v1) |
% 138.19/20.40 | ~ $i(v0) | ~ p2(v1) | ~ r1(v1, v2) | ~ r1(v0, v3) | ~ r1(v0,
% 138.19/20.40 | v1) | ~ r1(all_2_5, v0) | p2(v3) | p2(v2) | ? [v4: $i] : ?
% 138.19/20.40 | [v5: $i] : ($i(v5) & $i(v4) & ((p2(v4) & r1(v4, v5) & r1(v3, v4)
% 138.19/20.40 | & ~ p2(v5)) | (r1(v4, v5) & r1(v0, v4) & ~ p2(v5) & !
% 138.19/20.40 | [v6: $i] : ! [v7: $i] : ( ~ $i(v7) | ~ $i(v6) | ~ p2(v6)
% 138.19/20.40 | | ~ r1(v6, v7) | ~ r1(v5, v6) | p2(v7)))))) & ! [v0:
% 138.19/20.40 | $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~
% 138.19/20.40 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p2(v0) | ~ r1(v2, v3) | ~
% 138.19/20.40 | r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_2_5, v0) | p2(v3) | ?
% 138.19/20.40 | [v4: $i] : ? [v5: $i] : ($i(v5) & $i(v4) & ((p2(v4) & r1(v4, v5)
% 138.19/20.40 | & r1(v3, v4) & ~ p2(v5)) | (r1(v4, v5) & r1(v0, v4) & ~
% 138.19/20.40 | p2(v5) & ! [v6: $i] : ! [v7: $i] : ( ~ $i(v7) | ~ $i(v6)
% 138.19/20.40 | | ~ p2(v6) | ~ r1(v6, v7) | ~ r1(v5, v6) | p2(v7))) |
% 138.19/20.40 | (r1(v1, v4) & ~ p2(v4) & ! [v6: $i] : ! [v7: $i] : ( ~
% 138.19/20.40 | $i(v7) | ~ $i(v6) | ~ p2(v6) | ~ r1(v6, v7) | ~
% 138.19/20.40 | r1(v4, v6) | p2(v7)))))) & ! [v0: $i] : ! [v1: $i] : !
% 138.19/20.40 | [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p2(v0) | ~
% 138.19/20.40 | r1(v0, v2) | ~ r1(v0, v1) | ~ r1(all_2_5, v0) | p2(v2) | p2(v1)
% 138.19/20.40 | | ? [v3: $i] : ? [v4: $i] : ($i(v4) & $i(v3) & ((p2(v3) &
% 138.19/20.40 | r1(v3, v4) & r1(v2, v3) & ~ p2(v4)) | (p2(v3) & r1(v3, v4)
% 138.19/20.40 | & r1(v1, v3) & ~ p2(v4))))) & ! [v0: $i] : ! [v1: $i] :
% 138.19/20.40 | ( ~ $i(v1) | ~ $i(v0) | ~ p2(v0) | ~ r1(v0, v1) | ~ r1(all_2_5,
% 138.19/20.40 | v0) | p2(v1) | ? [v2: $i] : ? [v3: $i] : ($i(v3) & $i(v2) &
% 138.19/20.40 | ((p2(v2) & r1(v2, v3) & r1(v1, v2) & ~ p2(v3)) | (r1(v2, v3) &
% 138.19/20.40 | r1(v0, v2) & ~ p2(v3) & ! [v4: $i] : ! [v5: $i] : ( ~
% 138.19/20.40 | $i(v5) | ~ $i(v4) | ~ p2(v4) | ~ r1(v4, v5) | ~
% 138.19/20.40 | r1(v3, v4) | p2(v5)))))) & ((r1(all_2_4, all_2_3) &
% 138.19/20.40 | r1(all_2_5, all_2_4) & ~ p2(all_2_3) & ! [v0: $i] : ! [v1:
% 138.19/20.40 | $i] : ( ~ $i(v1) | ~ $i(v0) | ~ p2(v0) | ~ r1(v0, v1) | ~
% 138.19/20.40 | r1(all_2_3, v0) | p2(v1)) & ! [v0: $i] : ( ~ $i(v0) | ~
% 138.19/20.40 | r1(all_2_5, v0) | p2(v0) | ? [v1: $i] : ? [v2: $i] :
% 138.19/20.40 | ($i(v2) & $i(v1) & p2(v1) & r1(v1, v2) & r1(v0, v1) & ~
% 138.19/20.40 | p2(v2)))) | ( ~ p2(all_2_5) & ! [v0: $i] : ! [v1: $i] : (
% 138.19/20.40 | ~ $i(v1) | ~ $i(v0) | ~ p2(v0) | ~ r1(v0, v1) | ~
% 138.19/20.40 | r1(all_2_5, v0) | p2(v1))))) | ((p2(all_2_52) | (p2(all_2_5)
% 138.19/20.40 | & r1(all_2_5, all_2_4) & r1(all_2_52, all_2_5) & ~
% 138.19/20.40 | p2(all_2_4))) & ( ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~
% 138.19/20.40 | $i(v0) | ~ r1(v0, v1) | ~ r1(all_2_52, v0) | p2(v1) | ? [v2:
% 138.19/20.40 | $i] : ? [v3: $i] : ($i(v3) & $i(v2) & p2(v2) & r1(v2, v3) &
% 138.19/20.40 | r1(v1, v2) & ~ p2(v3))) | (r1(all_2_52, all_2_3) & ~
% 138.19/20.40 | p2(all_2_3) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~
% 138.19/20.40 | $i(v0) | ~ p2(v0) | ~ r1(v0, v1) | ~ r1(all_2_3, v0) |
% 138.19/20.40 | p2(v1))))))
% 138.19/20.40 |
% 138.19/20.40 | ALPHA: (1) implies:
% 138.19/20.40 | (2) ~ p2(all_2_1)
% 138.19/20.40 | (3) r1(all_2_52, all_2_1)
% 138.19/20.40 | (4) $i(all_2_5)
% 138.19/20.40 | (5) $i(all_2_4)
% 138.19/20.40 | (6) $i(all_2_3)
% 138.19/20.40 | (7) $i(all_2_1)
% 138.19/20.41 | (8) (r1(all_2_52, all_2_5) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 138.19/20.41 | [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~ $i(v6) | ~
% 138.19/20.41 | $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0)
% 138.19/20.41 | | ~ p2(v1) | ~ r1(v5, v6) | ~ r1(v4, v5) | ~ r1(v1, v2) | ~
% 138.19/20.41 | r1(v0, v4) | ~ r1(v0, v3) | ~ r1(v0, v1) | ~ r1(all_2_5, v0) |
% 138.19/20.41 | p2(v6) | p2(v3) | p2(v2) | ? [v7: $i] : ? [v8: $i] : ($i(v8) &
% 138.19/20.41 | $i(v7) & ((p2(v7) & r1(v7, v8) & r1(v6, v7) & ~ p2(v8)) |
% 138.19/20.41 | (p2(v7) & r1(v7, v8) & r1(v3, v7) & ~ p2(v8)) | (r1(v4, v7) &
% 138.19/20.41 | ~ p2(v7) & ! [v9: $i] : ! [v10: $i] : ( ~ $i(v10) | ~
% 138.19/20.41 | $i(v9) | ~ p2(v9) | ~ r1(v9, v10) | ~ r1(v7, v9) |
% 138.19/20.41 | p2(v10)))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 138.19/20.41 | [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ $i(v5) | ~ $i(v4) | ~
% 138.19/20.41 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p2(v1) | ~ r1(v4,
% 138.19/20.41 | v5) | ~ r1(v3, v4) | ~ r1(v1, v2) | ~ r1(v0, v3) | ~ r1(v0,
% 138.19/20.41 | v1) | ~ r1(all_2_5, v0) | p2(v5) | p2(v2) | ? [v6: $i] : ?
% 138.19/20.41 | [v7: $i] : ($i(v7) & $i(v6) & ((p2(v6) & r1(v6, v7) & r1(v5, v6) &
% 138.19/20.41 | ~ p2(v7)) | (r1(v6, v7) & r1(v0, v6) & ~ p2(v7) & ! [v8:
% 138.19/20.41 | $i] : ! [v9: $i] : ( ~ $i(v9) | ~ $i(v8) | ~ p2(v8) | ~
% 138.19/20.41 | r1(v8, v9) | ~ r1(v7, v8) | p2(v9))) | (r1(v3, v6) & ~
% 138.19/20.41 | p2(v6) & ! [v8: $i] : ! [v9: $i] : ( ~ $i(v9) | ~ $i(v8) |
% 138.19/20.41 | ~ p2(v8) | ~ r1(v8, v9) | ~ r1(v6, v8) | p2(v9)))))) &
% 138.19/20.41 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 138.19/20.41 | ( ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 138.77/20.41 | p2(v1) | ~ r1(v1, v2) | ~ r1(v0, v4) | ~ r1(v0, v3) | ~ r1(v0,
% 138.77/20.41 | v1) | ~ r1(all_2_5, v0) | p2(v4) | p2(v3) | p2(v2) | ? [v5: $i]
% 138.77/20.41 | : ? [v6: $i] : ($i(v6) & $i(v5) & ((p2(v5) & r1(v5, v6) & r1(v4,
% 138.77/20.41 | v5) & ~ p2(v6)) | (p2(v5) & r1(v5, v6) & r1(v3, v5) & ~
% 138.77/20.41 | p2(v6))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 138.77/20.41 | [v3: $i] : ! [v4: $i] : ( ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 138.77/20.41 | $i(v1) | ~ $i(v0) | ~ p2(v0) | ~ r1(v3, v4) | ~ r1(v2, v3) | ~
% 138.77/20.41 | r1(v0, v2) | ~ r1(v0, v1) | ~ r1(all_2_5, v0) | p2(v4) | p2(v1) |
% 138.77/20.41 | ? [v5: $i] : ? [v6: $i] : ($i(v6) & $i(v5) & ((p2(v5) & r1(v5,
% 138.77/20.41 | v6) & r1(v4, v5) & ~ p2(v6)) | (p2(v5) & r1(v5, v6) &
% 138.77/20.41 | r1(v1, v5) & ~ p2(v6)) | (r1(v2, v5) & ~ p2(v5) & ! [v7:
% 138.77/20.41 | $i] : ! [v8: $i] : ( ~ $i(v8) | ~ $i(v7) | ~ p2(v7) | ~
% 138.77/20.41 | r1(v7, v8) | ~ r1(v5, v7) | p2(v8)))))) & ! [v0: $i] : !
% 138.77/20.41 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) | ~
% 138.77/20.41 | $i(v1) | ~ $i(v0) | ~ p2(v1) | ~ r1(v1, v2) | ~ r1(v0, v3) | ~
% 138.77/20.41 | r1(v0, v1) | ~ r1(all_2_5, v0) | p2(v3) | p2(v2) | ? [v4: $i] :
% 138.77/20.41 | ? [v5: $i] : ($i(v5) & $i(v4) & ((p2(v4) & r1(v4, v5) & r1(v3, v4)
% 138.77/20.41 | & ~ p2(v5)) | (r1(v4, v5) & r1(v0, v4) & ~ p2(v5) & ! [v6:
% 138.77/20.41 | $i] : ! [v7: $i] : ( ~ $i(v7) | ~ $i(v6) | ~ p2(v6) | ~
% 138.77/20.41 | r1(v6, v7) | ~ r1(v5, v6) | p2(v7)))))) & ! [v0: $i] : !
% 138.77/20.41 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) | ~
% 138.77/20.41 | $i(v1) | ~ $i(v0) | ~ p2(v0) | ~ r1(v2, v3) | ~ r1(v1, v2) | ~
% 138.77/20.41 | r1(v0, v1) | ~ r1(all_2_5, v0) | p2(v3) | ? [v4: $i] : ? [v5:
% 138.77/20.41 | $i] : ($i(v5) & $i(v4) & ((p2(v4) & r1(v4, v5) & r1(v3, v4) & ~
% 138.77/20.41 | p2(v5)) | (r1(v4, v5) & r1(v0, v4) & ~ p2(v5) & ! [v6: $i]
% 138.77/20.41 | : ! [v7: $i] : ( ~ $i(v7) | ~ $i(v6) | ~ p2(v6) | ~
% 138.77/20.41 | r1(v6, v7) | ~ r1(v5, v6) | p2(v7))) | (r1(v1, v4) & ~
% 138.77/20.41 | p2(v4) & ! [v6: $i] : ! [v7: $i] : ( ~ $i(v7) | ~ $i(v6) |
% 138.77/20.41 | ~ p2(v6) | ~ r1(v6, v7) | ~ r1(v4, v6) | p2(v7)))))) &
% 138.77/20.41 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~
% 138.77/20.41 | $i(v0) | ~ p2(v0) | ~ r1(v0, v2) | ~ r1(v0, v1) | ~ r1(all_2_5,
% 138.77/20.41 | v0) | p2(v2) | p2(v1) | ? [v3: $i] : ? [v4: $i] : ($i(v4) &
% 138.77/20.41 | $i(v3) & ((p2(v3) & r1(v3, v4) & r1(v2, v3) & ~ p2(v4)) |
% 138.77/20.41 | (p2(v3) & r1(v3, v4) & r1(v1, v3) & ~ p2(v4))))) & ! [v0: $i]
% 138.77/20.41 | : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ p2(v0) | ~ r1(v0, v1) |
% 138.77/20.41 | ~ r1(all_2_5, v0) | p2(v1) | ? [v2: $i] : ? [v3: $i] : ($i(v3) &
% 138.77/20.41 | $i(v2) & ((p2(v2) & r1(v2, v3) & r1(v1, v2) & ~ p2(v3)) |
% 138.77/20.41 | (r1(v2, v3) & r1(v0, v2) & ~ p2(v3) & ! [v4: $i] : ! [v5:
% 138.77/20.41 | $i] : ( ~ $i(v5) | ~ $i(v4) | ~ p2(v4) | ~ r1(v4, v5) |
% 138.77/20.41 | ~ r1(v3, v4) | p2(v5)))))) & ((r1(all_2_4, all_2_3) &
% 138.77/20.41 | r1(all_2_5, all_2_4) & ~ p2(all_2_3) & ! [v0: $i] : ! [v1: $i]
% 138.77/20.41 | : ( ~ $i(v1) | ~ $i(v0) | ~ p2(v0) | ~ r1(v0, v1) | ~
% 138.77/20.41 | r1(all_2_3, v0) | p2(v1)) & ! [v0: $i] : ( ~ $i(v0) | ~
% 138.77/20.41 | r1(all_2_5, v0) | p2(v0) | ? [v1: $i] : ? [v2: $i] : ($i(v2)
% 138.77/20.41 | & $i(v1) & p2(v1) & r1(v1, v2) & r1(v0, v1) & ~ p2(v2)))) |
% 138.77/20.41 | ( ~ p2(all_2_5) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~
% 138.77/20.41 | $i(v0) | ~ p2(v0) | ~ r1(v0, v1) | ~ r1(all_2_5, v0) |
% 138.77/20.41 | p2(v1))))) | ((p2(all_2_52) | (p2(all_2_5) & r1(all_2_5,
% 138.77/20.41 | all_2_4) & r1(all_2_52, all_2_5) & ~ p2(all_2_4))) & ( ! [v0:
% 138.77/20.41 | $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ r1(v0, v1) | ~
% 138.77/20.41 | r1(all_2_52, v0) | p2(v1) | ? [v2: $i] : ? [v3: $i] : ($i(v3) &
% 138.77/20.41 | $i(v2) & p2(v2) & r1(v2, v3) & r1(v1, v2) & ~ p2(v3))) |
% 138.77/20.41 | (r1(all_2_52, all_2_3) & ~ p2(all_2_3) & ! [v0: $i] : ! [v1: $i]
% 138.77/20.41 | : ( ~ $i(v1) | ~ $i(v0) | ~ p2(v0) | ~ r1(v0, v1) | ~
% 138.77/20.41 | r1(all_2_3, v0) | p2(v1)))))
% 138.77/20.41 | (9) ! [v0: $i] : ( ~ $i(v0) | ~ r1(all_2_52, v0) | p2(v0) | ? [v1: $i] :
% 138.77/20.41 | ($i(v1) & r1(v0, v1) & ~ p2(v1) & ! [v2: $i] : ! [v3: $i] : ( ~
% 138.77/20.41 | $i(v3) | ~ $i(v2) | ~ p2(v2) | ~ r1(v2, v3) | ~ r1(v1, v2) |
% 138.77/20.41 | p2(v3))))
% 138.77/20.41 | (10) ! [v0: $i] : ( ~ $i(v0) | ~ r1(all_2_52, v0) | p2(v0) | ? [v1: $i]
% 138.77/20.41 | : ? [v2: $i] : ($i(v2) & $i(v1) & p2(v1) & r1(v1, v2) & r1(v0, v1)
% 138.77/20.41 | & ~ p2(v2)))
% 138.77/20.41 |
% 138.77/20.42 | GROUND_INST: instantiating (9) with all_2_1, simplifying with (2), (3), (7)
% 138.77/20.42 | gives:
% 138.77/20.42 | (11) ? [v0: $i] : ($i(v0) & r1(all_2_1, v0) & ~ p2(v0) & ! [v1: $i] : !
% 138.77/20.42 | [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ p2(v1) | ~ r1(v1, v2) | ~
% 138.77/20.42 | r1(v0, v1) | p2(v2)))
% 138.77/20.42 |
% 138.77/20.42 | DELTA: instantiating (11) with fresh symbol all_16_0 gives:
% 138.77/20.42 | (12) $i(all_16_0) & r1(all_2_1, all_16_0) & ~ p2(all_16_0) & ! [v0: $i] :
% 138.77/20.42 | ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ p2(v0) | ~ r1(v0, v1) | ~
% 138.77/20.42 | r1(all_16_0, v0) | p2(v1))
% 138.77/20.42 |
% 138.77/20.42 | ALPHA: (12) implies:
% 138.77/20.42 | (13) ~ p2(all_16_0)
% 138.77/20.42 | (14) r1(all_2_1, all_16_0)
% 138.77/20.42 | (15) $i(all_16_0)
% 138.77/20.42 | (16) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ p2(v0) | ~
% 138.77/20.42 | r1(v0, v1) | ~ r1(all_16_0, v0) | p2(v1))
% 138.77/20.42 |
% 138.77/20.42 | BETA: splitting (8) gives:
% 138.77/20.42 |
% 138.77/20.42 | Case 1:
% 138.77/20.42 | |
% 138.77/20.43 | | (17) r1(all_2_52, all_2_5) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 138.77/20.43 | | [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~ $i(v6) | ~
% 138.77/20.43 | | $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0)
% 138.77/20.43 | | | ~ p2(v1) | ~ r1(v5, v6) | ~ r1(v4, v5) | ~ r1(v1, v2) | ~
% 138.77/20.43 | | r1(v0, v4) | ~ r1(v0, v3) | ~ r1(v0, v1) | ~ r1(all_2_5, v0) |
% 138.77/20.43 | | p2(v6) | p2(v3) | p2(v2) | ? [v7: $i] : ? [v8: $i] : ($i(v8) &
% 138.77/20.43 | | $i(v7) & ((p2(v7) & r1(v7, v8) & r1(v6, v7) & ~ p2(v8)) |
% 138.77/20.43 | | (p2(v7) & r1(v7, v8) & r1(v3, v7) & ~ p2(v8)) | (r1(v4, v7) &
% 138.77/20.43 | | ~ p2(v7) & ! [v9: $i] : ! [v10: $i] : ( ~ $i(v10) | ~
% 138.77/20.43 | | $i(v9) | ~ p2(v9) | ~ r1(v9, v10) | ~ r1(v7, v9) |
% 138.77/20.43 | | p2(v10)))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 138.77/20.43 | | ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ $i(v5) | ~ $i(v4) | ~
% 138.77/20.43 | | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p2(v1) | ~ r1(v4,
% 138.77/20.43 | | v5) | ~ r1(v3, v4) | ~ r1(v1, v2) | ~ r1(v0, v3) | ~ r1(v0,
% 138.77/20.43 | | v1) | ~ r1(all_2_5, v0) | p2(v5) | p2(v2) | ? [v6: $i] : ?
% 138.77/20.43 | | [v7: $i] : ($i(v7) & $i(v6) & ((p2(v6) & r1(v6, v7) & r1(v5, v6) &
% 138.77/20.43 | | ~ p2(v7)) | (r1(v6, v7) & r1(v0, v6) & ~ p2(v7) & ! [v8:
% 138.77/20.43 | | $i] : ! [v9: $i] : ( ~ $i(v9) | ~ $i(v8) | ~ p2(v8) |
% 138.77/20.43 | | ~ r1(v8, v9) | ~ r1(v7, v8) | p2(v9))) | (r1(v3, v6) & ~
% 138.77/20.43 | | p2(v6) & ! [v8: $i] : ! [v9: $i] : ( ~ $i(v9) | ~ $i(v8)
% 138.77/20.43 | | | ~ p2(v8) | ~ r1(v8, v9) | ~ r1(v6, v8) | p2(v9))))))
% 138.77/20.43 | | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4:
% 138.77/20.43 | | $i] : ( ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 138.77/20.43 | | ~ p2(v1) | ~ r1(v1, v2) | ~ r1(v0, v4) | ~ r1(v0, v3) | ~
% 138.77/20.43 | | r1(v0, v1) | ~ r1(all_2_5, v0) | p2(v4) | p2(v3) | p2(v2) | ?
% 138.77/20.43 | | [v5: $i] : ? [v6: $i] : ($i(v6) & $i(v5) & ((p2(v5) & r1(v5, v6)
% 138.77/20.43 | | & r1(v4, v5) & ~ p2(v6)) | (p2(v5) & r1(v5, v6) & r1(v3,
% 138.77/20.43 | | v5) & ~ p2(v6))))) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 138.77/20.43 | | $i] : ! [v3: $i] : ! [v4: $i] : ( ~ $i(v4) | ~ $i(v3) | ~
% 138.77/20.43 | | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p2(v0) | ~ r1(v3, v4) | ~
% 138.77/20.43 | | r1(v2, v3) | ~ r1(v0, v2) | ~ r1(v0, v1) | ~ r1(all_2_5, v0) |
% 138.77/20.43 | | p2(v4) | p2(v1) | ? [v5: $i] : ? [v6: $i] : ($i(v6) & $i(v5) &
% 138.77/20.43 | | ((p2(v5) & r1(v5, v6) & r1(v4, v5) & ~ p2(v6)) | (p2(v5) &
% 138.77/20.43 | | r1(v5, v6) & r1(v1, v5) & ~ p2(v6)) | (r1(v2, v5) & ~
% 138.77/20.43 | | p2(v5) & ! [v7: $i] : ! [v8: $i] : ( ~ $i(v8) | ~ $i(v7)
% 138.77/20.43 | | | ~ p2(v7) | ~ r1(v7, v8) | ~ r1(v5, v7) | p2(v8))))))
% 138.77/20.43 | | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3)
% 138.77/20.43 | | | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ p2(v1) | ~ r1(v1, v2) |
% 138.77/20.43 | | ~ r1(v0, v3) | ~ r1(v0, v1) | ~ r1(all_2_5, v0) | p2(v3) |
% 138.77/20.43 | | p2(v2) | ? [v4: $i] : ? [v5: $i] : ($i(v5) & $i(v4) & ((p2(v4) &
% 138.77/20.43 | | r1(v4, v5) & r1(v3, v4) & ~ p2(v5)) | (r1(v4, v5) & r1(v0,
% 138.77/20.43 | | v4) & ~ p2(v5) & ! [v6: $i] : ! [v7: $i] : ( ~ $i(v7) |
% 138.77/20.43 | | ~ $i(v6) | ~ p2(v6) | ~ r1(v6, v7) | ~ r1(v5, v6) |
% 138.77/20.43 | | p2(v7)))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 138.77/20.43 | | [v3: $i] : ( ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 138.77/20.43 | | p2(v0) | ~ r1(v2, v3) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~
% 138.77/20.43 | | r1(all_2_5, v0) | p2(v3) | ? [v4: $i] : ? [v5: $i] : ($i(v5) &
% 138.77/20.43 | | $i(v4) & ((p2(v4) & r1(v4, v5) & r1(v3, v4) & ~ p2(v5)) |
% 138.77/20.43 | | (r1(v4, v5) & r1(v0, v4) & ~ p2(v5) & ! [v6: $i] : ! [v7:
% 138.77/20.43 | | $i] : ( ~ $i(v7) | ~ $i(v6) | ~ p2(v6) | ~ r1(v6, v7) |
% 138.77/20.43 | | ~ r1(v5, v6) | p2(v7))) | (r1(v1, v4) & ~ p2(v4) & !
% 138.77/20.43 | | [v6: $i] : ! [v7: $i] : ( ~ $i(v7) | ~ $i(v6) | ~ p2(v6)
% 138.77/20.43 | | | ~ r1(v6, v7) | ~ r1(v4, v6) | p2(v7)))))) & ! [v0:
% 138.77/20.43 | | $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~
% 138.77/20.43 | | $i(v0) | ~ p2(v0) | ~ r1(v0, v2) | ~ r1(v0, v1) | ~
% 138.77/20.43 | | r1(all_2_5, v0) | p2(v2) | p2(v1) | ? [v3: $i] : ? [v4: $i] :
% 138.77/20.43 | | ($i(v4) & $i(v3) & ((p2(v3) & r1(v3, v4) & r1(v2, v3) & ~ p2(v4))
% 138.77/20.43 | | | (p2(v3) & r1(v3, v4) & r1(v1, v3) & ~ p2(v4))))) & ! [v0:
% 138.77/20.43 | | $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ p2(v0) | ~ r1(v0,
% 138.77/20.43 | | v1) | ~ r1(all_2_5, v0) | p2(v1) | ? [v2: $i] : ? [v3: $i] :
% 138.77/20.43 | | ($i(v3) & $i(v2) & ((p2(v2) & r1(v2, v3) & r1(v1, v2) & ~ p2(v3))
% 138.77/20.43 | | | (r1(v2, v3) & r1(v0, v2) & ~ p2(v3) & ! [v4: $i] : ! [v5:
% 138.77/20.43 | | $i] : ( ~ $i(v5) | ~ $i(v4) | ~ p2(v4) | ~ r1(v4, v5) |
% 138.77/20.43 | | ~ r1(v3, v4) | p2(v5)))))) & ((r1(all_2_4, all_2_3) &
% 138.77/20.43 | | r1(all_2_5, all_2_4) & ~ p2(all_2_3) & ! [v0: $i] : ! [v1:
% 138.77/20.43 | | $i] : ( ~ $i(v1) | ~ $i(v0) | ~ p2(v0) | ~ r1(v0, v1) | ~
% 138.77/20.43 | | r1(all_2_3, v0) | p2(v1)) & ! [v0: $i] : ( ~ $i(v0) | ~
% 138.77/20.43 | | r1(all_2_5, v0) | p2(v0) | ? [v1: $i] : ? [v2: $i] : ($i(v2)
% 138.77/20.43 | | & $i(v1) & p2(v1) & r1(v1, v2) & r1(v0, v1) & ~ p2(v2)))) |
% 138.77/20.43 | | ( ~ p2(all_2_5) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~
% 138.77/20.43 | | $i(v0) | ~ p2(v0) | ~ r1(v0, v1) | ~ r1(all_2_5, v0) |
% 138.77/20.43 | | p2(v1))))
% 138.77/20.43 | |
% 138.77/20.43 | | ALPHA: (17) implies:
% 138.77/20.43 | | (18) r1(all_2_52, all_2_5)
% 138.77/20.43 | | (19) (r1(all_2_4, all_2_3) & r1(all_2_5, all_2_4) & ~ p2(all_2_3) & !
% 138.77/20.43 | | [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ p2(v0) | ~
% 138.77/20.43 | | r1(v0, v1) | ~ r1(all_2_3, v0) | p2(v1)) & ! [v0: $i] : ( ~
% 138.77/20.43 | | $i(v0) | ~ r1(all_2_5, v0) | p2(v0) | ? [v1: $i] : ? [v2: $i]
% 138.77/20.43 | | : ($i(v2) & $i(v1) & p2(v1) & r1(v1, v2) & r1(v0, v1) & ~
% 138.77/20.43 | | p2(v2)))) | ( ~ p2(all_2_5) & ! [v0: $i] : ! [v1: $i] : ( ~
% 138.77/20.43 | | $i(v1) | ~ $i(v0) | ~ p2(v0) | ~ r1(v0, v1) | ~ r1(all_2_5,
% 138.77/20.43 | | v0) | p2(v1)))
% 138.77/20.43 | | (20) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) |
% 138.77/20.43 | | ~ $i(v0) | ~ p2(v0) | ~ r1(v0, v2) | ~ r1(v0, v1) | ~
% 138.77/20.43 | | r1(all_2_5, v0) | p2(v2) | p2(v1) | ? [v3: $i] : ? [v4: $i] :
% 138.77/20.43 | | ($i(v4) & $i(v3) & ((p2(v3) & r1(v3, v4) & r1(v2, v3) & ~ p2(v4))
% 138.77/20.43 | | | (p2(v3) & r1(v3, v4) & r1(v1, v3) & ~ p2(v4)))))
% 138.77/20.43 | | (21) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i]
% 138.77/20.43 | | : ( ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 138.77/20.43 | | p2(v1) | ~ r1(v1, v2) | ~ r1(v0, v4) | ~ r1(v0, v3) | ~ r1(v0,
% 138.77/20.43 | | v1) | ~ r1(all_2_5, v0) | p2(v4) | p2(v3) | p2(v2) | ? [v5:
% 138.77/20.43 | | $i] : ? [v6: $i] : ($i(v6) & $i(v5) & ((p2(v5) & r1(v5, v6) &
% 138.77/20.43 | | r1(v4, v5) & ~ p2(v6)) | (p2(v5) & r1(v5, v6) & r1(v3, v5)
% 138.77/20.43 | | & ~ p2(v6)))))
% 138.77/20.43 | |
% 138.77/20.43 | | GROUND_INST: instantiating (10) with all_2_5, simplifying with (4), (18)
% 138.77/20.43 | | gives:
% 138.77/20.43 | | (22) p2(all_2_5) | ? [v0: $i] : ? [v1: $i] : ($i(v1) & $i(v0) & p2(v0)
% 138.77/20.43 | | & r1(v0, v1) & r1(all_2_5, v0) & ~ p2(v1))
% 138.77/20.43 | |
% 138.77/20.43 | | BETA: splitting (19) gives:
% 138.77/20.43 | |
% 138.77/20.43 | | Case 1:
% 138.77/20.43 | | |
% 138.77/20.44 | | | (23) r1(all_2_4, all_2_3) & r1(all_2_5, all_2_4) & ~ p2(all_2_3) & !
% 138.77/20.44 | | | [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ p2(v0) | ~
% 138.77/20.44 | | | r1(v0, v1) | ~ r1(all_2_3, v0) | p2(v1)) & ! [v0: $i] : ( ~
% 138.77/20.44 | | | $i(v0) | ~ r1(all_2_5, v0) | p2(v0) | ? [v1: $i] : ? [v2: $i]
% 138.77/20.44 | | | : ($i(v2) & $i(v1) & p2(v1) & r1(v1, v2) & r1(v0, v1) & ~
% 138.77/20.44 | | | p2(v2)))
% 138.77/20.44 | | |
% 138.77/20.44 | | | ALPHA: (23) implies:
% 138.77/20.44 | | | (24) ~ p2(all_2_3)
% 138.77/20.44 | | | (25) r1(all_2_5, all_2_4)
% 138.77/20.44 | | | (26) r1(all_2_4, all_2_3)
% 138.77/20.44 | | | (27) ! [v0: $i] : ( ~ $i(v0) | ~ r1(all_2_5, v0) | p2(v0) | ? [v1:
% 138.77/20.44 | | | $i] : ? [v2: $i] : ($i(v2) & $i(v1) & p2(v1) & r1(v1, v2) &
% 138.77/20.44 | | | r1(v0, v1) & ~ p2(v2)))
% 138.77/20.44 | | | (28) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ p2(v0) |
% 138.77/20.44 | | | ~ r1(v0, v1) | ~ r1(all_2_3, v0) | p2(v1))
% 138.77/20.44 | | |
% 138.77/20.44 | | | GROUND_INST: instantiating (27) with all_2_4, simplifying with (5), (25)
% 138.77/20.44 | | | gives:
% 138.77/20.44 | | | (29) p2(all_2_4) | ? [v0: $i] : ? [v1: $i] : ($i(v1) & $i(v0) &
% 138.77/20.44 | | | p2(v0) & r1(v0, v1) & r1(all_2_4, v0) & ~ p2(v1))
% 138.77/20.44 | | |
% 138.77/20.44 | | | BETA: splitting (29) gives:
% 138.77/20.44 | | |
% 138.77/20.44 | | | Case 1:
% 138.77/20.44 | | | |
% 138.77/20.44 | | | | (30) p2(all_2_4)
% 138.77/20.44 | | | |
% 138.77/20.44 | | | | GROUND_INST: instantiating (20) with all_2_4, all_2_3, all_2_3,
% 138.77/20.44 | | | | simplifying with (5), (6), (24), (25), (26), (30) gives:
% 138.77/20.44 | | | | (31) ? [v0: $i] : ? [v1: $i] : ($i(v1) & $i(v0) & p2(v0) & r1(v0,
% 138.77/20.44 | | | | v1) & r1(all_2_3, v0) & ~ p2(v1))
% 138.77/20.44 | | | |
% 138.77/20.44 | | | | DELTA: instantiating (31) with fresh symbols all_123_0, all_123_1 gives:
% 138.77/20.44 | | | | (32) $i(all_123_0) & $i(all_123_1) & p2(all_123_1) & r1(all_123_1,
% 138.77/20.44 | | | | all_123_0) & r1(all_2_3, all_123_1) & ~ p2(all_123_0)
% 138.77/20.44 | | | |
% 138.77/20.44 | | | | ALPHA: (32) implies:
% 138.77/20.44 | | | | (33) ~ p2(all_123_0)
% 138.77/20.44 | | | | (34) r1(all_2_3, all_123_1)
% 138.77/20.44 | | | | (35) r1(all_123_1, all_123_0)
% 138.77/20.44 | | | | (36) p2(all_123_1)
% 138.77/20.44 | | | | (37) $i(all_123_1)
% 138.77/20.44 | | | | (38) $i(all_123_0)
% 138.77/20.44 | | | |
% 138.77/20.44 | | | | GROUND_INST: instantiating (28) with all_123_1, all_123_0, simplifying
% 138.77/20.44 | | | | with (33), (34), (35), (36), (37), (38) gives:
% 138.77/20.44 | | | | (39) $false
% 138.77/20.44 | | | |
% 138.77/20.44 | | | | CLOSE: (39) is inconsistent.
% 138.77/20.44 | | | |
% 138.77/20.44 | | | Case 2:
% 138.77/20.44 | | | |
% 138.77/20.44 | | | | (40) ? [v0: $i] : ? [v1: $i] : ($i(v1) & $i(v0) & p2(v0) & r1(v0,
% 138.77/20.44 | | | | v1) & r1(all_2_4, v0) & ~ p2(v1))
% 138.77/20.44 | | | |
% 138.77/20.44 | | | | DELTA: instantiating (40) with fresh symbols all_118_0, all_118_1 gives:
% 138.77/20.44 | | | | (41) $i(all_118_0) & $i(all_118_1) & p2(all_118_1) & r1(all_118_1,
% 138.77/20.44 | | | | all_118_0) & r1(all_2_4, all_118_1) & ~ p2(all_118_0)
% 138.77/20.44 | | | |
% 138.77/20.44 | | | | ALPHA: (41) implies:
% 138.77/20.44 | | | | (42) ~ p2(all_118_0)
% 138.77/20.44 | | | | (43) r1(all_2_4, all_118_1)
% 138.77/20.44 | | | | (44) r1(all_118_1, all_118_0)
% 138.77/20.44 | | | | (45) p2(all_118_1)
% 138.77/20.44 | | | | (46) $i(all_118_1)
% 138.77/20.44 | | | | (47) $i(all_118_0)
% 138.77/20.44 | | | |
% 138.77/20.44 | | | | GROUND_INST: instantiating (21) with all_2_4, all_118_1, all_118_0,
% 138.77/20.44 | | | | all_2_3, all_2_3, simplifying with (5), (6), (24), (25),
% 138.77/20.44 | | | | (26), (42), (43), (44), (45), (46), (47) gives:
% 138.77/20.44 | | | | (48) ? [v0: $i] : ? [v1: $i] : ($i(v1) & $i(v0) & p2(v0) & r1(v0,
% 138.77/20.44 | | | | v1) & r1(all_2_3, v0) & ~ p2(v1))
% 138.77/20.44 | | | |
% 138.77/20.44 | | | | DELTA: instantiating (48) with fresh symbols all_125_0, all_125_1 gives:
% 138.77/20.44 | | | | (49) $i(all_125_0) & $i(all_125_1) & p2(all_125_1) & r1(all_125_1,
% 138.77/20.44 | | | | all_125_0) & r1(all_2_3, all_125_1) & ~ p2(all_125_0)
% 138.77/20.44 | | | |
% 138.77/20.44 | | | | ALPHA: (49) implies:
% 138.77/20.44 | | | | (50) ~ p2(all_125_0)
% 138.77/20.44 | | | | (51) r1(all_2_3, all_125_1)
% 138.77/20.44 | | | | (52) r1(all_125_1, all_125_0)
% 138.77/20.44 | | | | (53) p2(all_125_1)
% 138.77/20.44 | | | | (54) $i(all_125_1)
% 138.77/20.44 | | | | (55) $i(all_125_0)
% 138.77/20.44 | | | |
% 138.77/20.45 | | | | GROUND_INST: instantiating (28) with all_125_1, all_125_0, simplifying
% 138.77/20.45 | | | | with (50), (51), (52), (53), (54), (55) gives:
% 138.77/20.45 | | | | (56) $false
% 138.77/20.45 | | | |
% 138.77/20.45 | | | | CLOSE: (56) is inconsistent.
% 138.77/20.45 | | | |
% 138.77/20.45 | | | End of split
% 138.77/20.45 | | |
% 138.77/20.45 | | Case 2:
% 138.77/20.45 | | |
% 138.77/20.45 | | | (57) ~ p2(all_2_5) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~
% 138.77/20.45 | | | $i(v0) | ~ p2(v0) | ~ r1(v0, v1) | ~ r1(all_2_5, v0) |
% 138.77/20.45 | | | p2(v1))
% 138.77/20.45 | | |
% 138.77/20.45 | | | ALPHA: (57) implies:
% 138.77/20.45 | | | (58) ~ p2(all_2_5)
% 138.77/20.45 | | | (59) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ p2(v0) |
% 138.77/20.45 | | | ~ r1(v0, v1) | ~ r1(all_2_5, v0) | p2(v1))
% 138.77/20.45 | | |
% 138.77/20.45 | | | BETA: splitting (22) gives:
% 138.77/20.45 | | |
% 138.77/20.45 | | | Case 1:
% 138.77/20.45 | | | |
% 138.77/20.45 | | | | (60) p2(all_2_5)
% 138.77/20.45 | | | |
% 138.77/20.45 | | | | PRED_UNIFY: (58), (60) imply:
% 138.77/20.45 | | | | (61) $false
% 138.77/20.45 | | | |
% 138.77/20.45 | | | | CLOSE: (61) is inconsistent.
% 138.77/20.45 | | | |
% 138.77/20.45 | | | Case 2:
% 138.77/20.45 | | | |
% 138.77/20.45 | | | | (62) ? [v0: $i] : ? [v1: $i] : ($i(v1) & $i(v0) & p2(v0) & r1(v0,
% 138.77/20.45 | | | | v1) & r1(all_2_5, v0) & ~ p2(v1))
% 138.77/20.45 | | | |
% 138.77/20.45 | | | | DELTA: instantiating (62) with fresh symbols all_92_0, all_92_1 gives:
% 138.77/20.45 | | | | (63) $i(all_92_0) & $i(all_92_1) & p2(all_92_1) & r1(all_92_1,
% 138.77/20.45 | | | | all_92_0) & r1(all_2_5, all_92_1) & ~ p2(all_92_0)
% 138.77/20.45 | | | |
% 138.77/20.45 | | | | ALPHA: (63) implies:
% 138.77/20.45 | | | | (64) ~ p2(all_92_0)
% 138.77/20.45 | | | | (65) r1(all_2_5, all_92_1)
% 138.77/20.45 | | | | (66) r1(all_92_1, all_92_0)
% 138.77/20.45 | | | | (67) p2(all_92_1)
% 138.77/20.45 | | | | (68) $i(all_92_1)
% 138.77/20.45 | | | | (69) $i(all_92_0)
% 138.77/20.45 | | | |
% 138.77/20.45 | | | | GROUND_INST: instantiating (59) with all_92_1, all_92_0, simplifying
% 138.77/20.45 | | | | with (64), (65), (66), (67), (68), (69) gives:
% 138.77/20.45 | | | | (70) $false
% 138.77/20.45 | | | |
% 138.77/20.45 | | | | CLOSE: (70) is inconsistent.
% 138.77/20.45 | | | |
% 138.77/20.45 | | | End of split
% 138.77/20.45 | | |
% 138.77/20.45 | | End of split
% 138.77/20.45 | |
% 138.77/20.45 | Case 2:
% 138.77/20.45 | |
% 138.77/20.45 | | (71) (p2(all_2_52) | (p2(all_2_5) & r1(all_2_5, all_2_4) & r1(all_2_52,
% 138.77/20.45 | | all_2_5) & ~ p2(all_2_4))) & ( ! [v0: $i] : ! [v1: $i] : ( ~
% 138.77/20.45 | | $i(v1) | ~ $i(v0) | ~ r1(v0, v1) | ~ r1(all_2_52, v0) |
% 138.77/20.45 | | p2(v1) | ? [v2: $i] : ? [v3: $i] : ($i(v3) & $i(v2) & p2(v2) &
% 138.77/20.45 | | r1(v2, v3) & r1(v1, v2) & ~ p2(v3))) | (r1(all_2_52, all_2_3)
% 138.77/20.45 | | & ~ p2(all_2_3) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~
% 138.77/20.45 | | $i(v0) | ~ p2(v0) | ~ r1(v0, v1) | ~ r1(all_2_3, v0) |
% 138.77/20.45 | | p2(v1))))
% 138.77/20.45 | |
% 138.77/20.45 | | ALPHA: (71) implies:
% 138.77/20.45 | | (72) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ r1(v0, v1) |
% 138.77/20.45 | | ~ r1(all_2_52, v0) | p2(v1) | ? [v2: $i] : ? [v3: $i] : ($i(v3)
% 138.77/20.45 | | & $i(v2) & p2(v2) & r1(v2, v3) & r1(v1, v2) & ~ p2(v3))) |
% 138.77/20.45 | | (r1(all_2_52, all_2_3) & ~ p2(all_2_3) & ! [v0: $i] : ! [v1: $i]
% 138.77/20.45 | | : ( ~ $i(v1) | ~ $i(v0) | ~ p2(v0) | ~ r1(v0, v1) | ~
% 138.77/20.45 | | r1(all_2_3, v0) | p2(v1)))
% 138.77/20.45 | |
% 138.77/20.45 | | BETA: splitting (72) gives:
% 138.77/20.45 | |
% 138.77/20.45 | | Case 1:
% 138.77/20.45 | | |
% 138.77/20.45 | | | (73) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ r1(v0, v1)
% 138.77/20.45 | | | | ~ r1(all_2_52, v0) | p2(v1) | ? [v2: $i] : ? [v3: $i] :
% 138.77/20.45 | | | ($i(v3) & $i(v2) & p2(v2) & r1(v2, v3) & r1(v1, v2) & ~
% 138.77/20.45 | | | p2(v3)))
% 138.77/20.45 | | |
% 138.77/20.45 | | | GROUND_INST: instantiating (73) with all_2_1, all_16_0, simplifying with
% 138.77/20.45 | | | (3), (7), (13), (14), (15) gives:
% 138.77/20.45 | | | (74) ? [v0: $i] : ? [v1: $i] : ($i(v1) & $i(v0) & p2(v0) & r1(v0, v1)
% 138.77/20.45 | | | & r1(all_16_0, v0) & ~ p2(v1))
% 138.77/20.45 | | |
% 138.77/20.45 | | | DELTA: instantiating (74) with fresh symbols all_98_0, all_98_1 gives:
% 138.77/20.45 | | | (75) $i(all_98_0) & $i(all_98_1) & p2(all_98_1) & r1(all_98_1,
% 138.77/20.45 | | | all_98_0) & r1(all_16_0, all_98_1) & ~ p2(all_98_0)
% 138.77/20.45 | | |
% 138.77/20.45 | | | ALPHA: (75) implies:
% 138.77/20.45 | | | (76) ~ p2(all_98_0)
% 138.77/20.45 | | | (77) r1(all_16_0, all_98_1)
% 138.77/20.45 | | | (78) r1(all_98_1, all_98_0)
% 138.77/20.45 | | | (79) p2(all_98_1)
% 138.77/20.45 | | | (80) $i(all_98_1)
% 138.77/20.45 | | | (81) $i(all_98_0)
% 138.77/20.45 | | |
% 138.77/20.45 | | | GROUND_INST: instantiating (16) with all_98_1, all_98_0, simplifying with
% 138.77/20.45 | | | (76), (77), (78), (79), (80), (81) gives:
% 138.77/20.45 | | | (82) $false
% 138.77/20.45 | | |
% 138.77/20.45 | | | CLOSE: (82) is inconsistent.
% 138.77/20.45 | | |
% 138.77/20.45 | | Case 2:
% 138.77/20.45 | | |
% 138.77/20.45 | | | (83) r1(all_2_52, all_2_3) & ~ p2(all_2_3) & ! [v0: $i] : ! [v1: $i]
% 138.77/20.45 | | | : ( ~ $i(v1) | ~ $i(v0) | ~ p2(v0) | ~ r1(v0, v1) | ~
% 138.77/20.45 | | | r1(all_2_3, v0) | p2(v1))
% 138.77/20.45 | | |
% 138.77/20.45 | | | ALPHA: (83) implies:
% 138.77/20.45 | | | (84) ~ p2(all_2_3)
% 138.77/20.45 | | | (85) r1(all_2_52, all_2_3)
% 138.77/20.45 | | | (86) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ p2(v0) |
% 138.77/20.45 | | | ~ r1(v0, v1) | ~ r1(all_2_3, v0) | p2(v1))
% 138.77/20.45 | | |
% 138.77/20.46 | | | GROUND_INST: instantiating (10) with all_2_3, simplifying with (6), (84),
% 138.77/20.46 | | | (85) gives:
% 138.77/20.46 | | | (87) ? [v0: $i] : ? [v1: $i] : ($i(v1) & $i(v0) & p2(v0) & r1(v0, v1)
% 138.77/20.46 | | | & r1(all_2_3, v0) & ~ p2(v1))
% 138.77/20.46 | | |
% 138.77/20.46 | | | DELTA: instantiating (87) with fresh symbols all_102_0, all_102_1 gives:
% 138.77/20.46 | | | (88) $i(all_102_0) & $i(all_102_1) & p2(all_102_1) & r1(all_102_1,
% 138.77/20.46 | | | all_102_0) & r1(all_2_3, all_102_1) & ~ p2(all_102_0)
% 138.77/20.46 | | |
% 138.77/20.46 | | | ALPHA: (88) implies:
% 138.77/20.46 | | | (89) ~ p2(all_102_0)
% 138.77/20.46 | | | (90) r1(all_2_3, all_102_1)
% 138.77/20.46 | | | (91) r1(all_102_1, all_102_0)
% 138.77/20.46 | | | (92) p2(all_102_1)
% 138.77/20.46 | | | (93) $i(all_102_1)
% 138.77/20.46 | | | (94) $i(all_102_0)
% 138.77/20.46 | | |
% 138.77/20.46 | | | GROUND_INST: instantiating (86) with all_102_1, all_102_0, simplifying
% 138.77/20.46 | | | with (89), (90), (91), (92), (93), (94) gives:
% 138.77/20.46 | | | (95) $false
% 138.77/20.46 | | |
% 138.77/20.46 | | | CLOSE: (95) is inconsistent.
% 138.77/20.46 | | |
% 138.77/20.46 | | End of split
% 138.77/20.46 | |
% 138.77/20.46 | End of split
% 138.77/20.46 |
% 138.77/20.46 End of proof
% 138.77/20.46 % SZS output end Proof for theBenchmark
% 138.77/20.46
% 138.77/20.46 19831ms
%------------------------------------------------------------------------------