TSTP Solution File: NLP007+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : NLP007+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n006.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 10:03:17 EDT 2023
% Result : Theorem 6.57s 1.67s
% Output : Proof 13.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NLP007+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 11:02:37 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.60 ________ _____
% 0.19/0.60 ___ __ \_________(_)________________________________
% 0.19/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.19/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.19/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.19/0.60
% 0.19/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.60 (2023-06-19)
% 0.19/0.60
% 0.19/0.60 (c) Philipp Rümmer, 2009-2023
% 0.19/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.60 Amanda Stjerna.
% 0.19/0.60 Free software under BSD-3-Clause.
% 0.19/0.60
% 0.19/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.60
% 0.19/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.19/0.62 Running up to 7 provers in parallel.
% 0.19/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.46/1.03 Prover 1: Preprocessing ...
% 2.46/1.03 Prover 4: Preprocessing ...
% 2.46/1.07 Prover 6: Preprocessing ...
% 2.46/1.07 Prover 5: Preprocessing ...
% 2.46/1.07 Prover 3: Preprocessing ...
% 2.46/1.07 Prover 2: Preprocessing ...
% 2.46/1.08 Prover 0: Preprocessing ...
% 4.45/1.38 Prover 2: Constructing countermodel ...
% 4.45/1.39 Prover 5: Constructing countermodel ...
% 5.48/1.56 Prover 6: Proving ...
% 5.48/1.56 Prover 3: Constructing countermodel ...
% 6.51/1.61 Prover 1: Constructing countermodel ...
% 6.57/1.67 Prover 2: proved (1038ms)
% 6.57/1.67 Prover 5: proved (1039ms)
% 6.57/1.67
% 6.57/1.67 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.57/1.67
% 6.57/1.67
% 6.57/1.67 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.57/1.67
% 6.57/1.68 Prover 3: stopped
% 6.57/1.69 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 6.57/1.69 Prover 6: stopped
% 6.57/1.69 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 6.57/1.69 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 6.57/1.69 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 7.24/1.72 Prover 7: Preprocessing ...
% 7.24/1.73 Prover 8: Preprocessing ...
% 7.24/1.74 Prover 10: Preprocessing ...
% 7.24/1.76 Prover 11: Preprocessing ...
% 7.24/1.78 Prover 7: Constructing countermodel ...
% 7.86/1.79 Prover 10: Constructing countermodel ...
% 8.60/1.89 Prover 10: Found proof (size 15)
% 8.60/1.89 Prover 10: proved (199ms)
% 8.60/1.89 Prover 7: stopped
% 8.60/1.90 Prover 1: stopped
% 8.79/1.94 Prover 8: Warning: ignoring some quantifiers
% 8.79/1.94 Prover 8: Constructing countermodel ...
% 8.79/1.95 Prover 8: stopped
% 12.95/2.60 Prover 4: stopped
% 13.06/2.63 Prover 0: stopped
% 13.06/2.65 Prover 11: stopped
% 13.06/2.65
% 13.06/2.65 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.06/2.65
% 13.06/2.66 % SZS output start Proof for theBenchmark
% 13.06/2.66 Assumptions after simplification:
% 13.06/2.66 ---------------------------------
% 13.06/2.66
% 13.06/2.66 (co1)
% 13.06/2.69 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5:
% 13.06/2.69 $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ($i(v9) &
% 13.06/2.69 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 13.06/2.69 $i(v0) & ((v9 = v6 & v8 = v5 & ~ (v6 = v5) & young(v6) & young(v5) &
% 13.06/2.69 man(v6) & man(v5) & fellow(v6) & fellow(v5) & in(v6, v7) & in(v5, v0) &
% 13.06/2.69 in(v2, v1) & down(v2, v4) & barrel(v2, v3) & lonely(v4) & way(v4) &
% 13.06/2.69 street(v4) & old(v3) & dirty(v3) & white(v3) & car(v3) & chevy(v3) &
% 13.06/2.69 event(v2) & city(v1) & hollywood(v1) & front(v7) & front(v0) &
% 13.06/2.69 furniture(v7) & furniture(v0) & seat(v7) & seat(v0) & ! [v10: $i] : !
% 13.06/2.69 [v11: $i] : ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15: $i] :
% 13.06/2.69 ! [v16: $i] : ! [v17: $i] : (v16 = v15 | ~ $i(v17) | ~ $i(v16) | ~
% 13.06/2.69 $i(v15) | ~ $i(v14) | ~ $i(v13) | ~ $i(v12) | ~ $i(v11) | ~
% 13.06/2.69 $i(v10) | ~ young(v16) | ~ young(v15) | ~ man(v16) | ~ man(v15) |
% 13.06/2.69 ~ fellow(v16) | ~ fellow(v15) | ~ in(v16, v10) | ~ in(v15, v17) |
% 13.06/2.69 ~ in(v12, v11) | ~ down(v12, v14) | ~ barrel(v12, v13) | ~
% 13.06/2.69 lonely(v14) | ~ way(v14) | ~ street(v14) | ~ old(v13) | ~
% 13.06/2.69 dirty(v13) | ~ white(v13) | ~ car(v13) | ~ chevy(v13) | ~
% 13.06/2.69 event(v12) | ~ city(v11) | ~ hollywood(v11) | ~ front(v17) | ~
% 13.06/2.69 front(v10) | ~ furniture(v17) | ~ furniture(v10) | ~ seat(v17) | ~
% 13.06/2.69 seat(v10))) | (v9 = v6 & v8 = v5 & ~ (v6 = v5) & young(v6) &
% 13.06/2.69 young(v5) & man(v6) & man(v5) & fellow(v6) & fellow(v5) & in(v6, v0) &
% 13.06/2.69 in(v5, v7) & in(v2, v1) & down(v2, v4) & barrel(v2, v3) & lonely(v4) &
% 13.06/2.69 way(v4) & street(v4) & old(v3) & dirty(v3) & white(v3) & car(v3) &
% 13.06/2.69 chevy(v3) & event(v2) & city(v1) & hollywood(v1) & front(v7) & front(v0)
% 13.06/2.69 & furniture(v7) & furniture(v0) & seat(v7) & seat(v0) & ! [v10: $i] :
% 13.06/2.69 ! [v11: $i] : ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15: $i]
% 13.06/2.69 : ! [v16: $i] : ! [v17: $i] : (v16 = v15 | ~ $i(v17) | ~ $i(v16) |
% 13.06/2.69 ~ $i(v15) | ~ $i(v14) | ~ $i(v13) | ~ $i(v12) | ~ $i(v11) | ~
% 13.06/2.69 $i(v10) | ~ young(v16) | ~ young(v15) | ~ man(v16) | ~ man(v15) |
% 13.06/2.69 ~ fellow(v16) | ~ fellow(v15) | ~ in(v16, v17) | ~ in(v15, v10) |
% 13.06/2.69 ~ in(v12, v11) | ~ down(v12, v14) | ~ barrel(v12, v13) | ~
% 13.06/2.69 lonely(v14) | ~ way(v14) | ~ street(v14) | ~ old(v13) | ~
% 13.06/2.69 dirty(v13) | ~ white(v13) | ~ car(v13) | ~ chevy(v13) | ~
% 13.06/2.69 event(v12) | ~ city(v11) | ~ hollywood(v11) | ~ front(v17) | ~
% 13.06/2.69 front(v10) | ~ furniture(v17) | ~ furniture(v10) | ~ seat(v17) | ~
% 13.06/2.69 seat(v10)))))
% 13.06/2.69
% 13.06/2.69 Those formulas are unsatisfiable:
% 13.06/2.69 ---------------------------------
% 13.06/2.69
% 13.06/2.69 Begin of proof
% 13.06/2.69 |
% 13.06/2.69 | DELTA: instantiating (co1) with fresh symbols all_2_0, all_2_1, all_2_2,
% 13.06/2.69 | all_2_3, all_2_4, all_2_5, all_2_6, all_2_7, all_2_8, all_2_9 gives:
% 13.06/2.70 | (1) $i(all_2_0) & $i(all_2_1) & $i(all_2_2) & $i(all_2_3) & $i(all_2_4) &
% 13.06/2.70 | $i(all_2_5) & $i(all_2_6) & $i(all_2_7) & $i(all_2_8) & $i(all_2_9) &
% 13.06/2.70 | ((all_2_0 = all_2_3 & all_2_1 = all_2_4 & ~ (all_2_3 = all_2_4) &
% 13.06/2.70 | young(all_2_3) & young(all_2_4) & man(all_2_3) & man(all_2_4) &
% 13.06/2.70 | fellow(all_2_3) & fellow(all_2_4) & in(all_2_3, all_2_2) &
% 13.06/2.70 | in(all_2_4, all_2_9) & in(all_2_7, all_2_8) & down(all_2_7,
% 13.06/2.70 | all_2_5) & barrel(all_2_7, all_2_6) & lonely(all_2_5) &
% 13.06/2.70 | way(all_2_5) & street(all_2_5) & old(all_2_6) & dirty(all_2_6) &
% 13.06/2.71 | white(all_2_6) & car(all_2_6) & chevy(all_2_6) & event(all_2_7) &
% 13.06/2.71 | city(all_2_8) & hollywood(all_2_8) & front(all_2_2) &
% 13.06/2.71 | front(all_2_9) & furniture(all_2_2) & furniture(all_2_9) &
% 13.06/2.71 | seat(all_2_2) & seat(all_2_9) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 13.06/2.71 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 13.06/2.71 | [v7: $i] : (v6 = v5 | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4)
% 13.06/2.71 | | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ young(v6) |
% 13.06/2.71 | ~ young(v5) | ~ man(v6) | ~ man(v5) | ~ fellow(v6) | ~
% 13.06/2.71 | fellow(v5) | ~ in(v6, v0) | ~ in(v5, v7) | ~ in(v2, v1) | ~
% 13.06/2.71 | down(v2, v4) | ~ barrel(v2, v3) | ~ lonely(v4) | ~ way(v4) |
% 13.06/2.71 | ~ street(v4) | ~ old(v3) | ~ dirty(v3) | ~ white(v3) | ~
% 13.06/2.71 | car(v3) | ~ chevy(v3) | ~ event(v2) | ~ city(v1) | ~
% 13.06/2.71 | hollywood(v1) | ~ front(v7) | ~ front(v0) | ~ furniture(v7) |
% 13.06/2.71 | ~ furniture(v0) | ~ seat(v7) | ~ seat(v0))) | (all_2_0 =
% 13.06/2.71 | all_2_3 & all_2_1 = all_2_4 & ~ (all_2_3 = all_2_4) &
% 13.06/2.71 | young(all_2_3) & young(all_2_4) & man(all_2_3) & man(all_2_4) &
% 13.06/2.71 | fellow(all_2_3) & fellow(all_2_4) & in(all_2_3, all_2_9) &
% 13.06/2.71 | in(all_2_4, all_2_2) & in(all_2_7, all_2_8) & down(all_2_7,
% 13.06/2.71 | all_2_5) & barrel(all_2_7, all_2_6) & lonely(all_2_5) &
% 13.06/2.71 | way(all_2_5) & street(all_2_5) & old(all_2_6) & dirty(all_2_6) &
% 13.06/2.71 | white(all_2_6) & car(all_2_6) & chevy(all_2_6) & event(all_2_7) &
% 13.06/2.71 | city(all_2_8) & hollywood(all_2_8) & front(all_2_2) &
% 13.06/2.71 | front(all_2_9) & furniture(all_2_2) & furniture(all_2_9) &
% 13.06/2.71 | seat(all_2_2) & seat(all_2_9) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 13.06/2.71 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 13.06/2.71 | [v7: $i] : (v6 = v5 | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4)
% 13.06/2.71 | | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ young(v6) |
% 13.06/2.71 | ~ young(v5) | ~ man(v6) | ~ man(v5) | ~ fellow(v6) | ~
% 13.06/2.71 | fellow(v5) | ~ in(v6, v7) | ~ in(v5, v0) | ~ in(v2, v1) | ~
% 13.06/2.71 | down(v2, v4) | ~ barrel(v2, v3) | ~ lonely(v4) | ~ way(v4) |
% 13.06/2.71 | ~ street(v4) | ~ old(v3) | ~ dirty(v3) | ~ white(v3) | ~
% 13.06/2.71 | car(v3) | ~ chevy(v3) | ~ event(v2) | ~ city(v1) | ~
% 13.06/2.71 | hollywood(v1) | ~ front(v7) | ~ front(v0) | ~ furniture(v7) |
% 13.06/2.71 | ~ furniture(v0) | ~ seat(v7) | ~ seat(v0))))
% 13.06/2.71 |
% 13.06/2.71 | ALPHA: (1) implies:
% 13.06/2.71 | (2) $i(all_2_9)
% 13.06/2.71 | (3) $i(all_2_8)
% 13.06/2.71 | (4) $i(all_2_7)
% 13.06/2.71 | (5) $i(all_2_6)
% 13.06/2.71 | (6) $i(all_2_5)
% 13.06/2.71 | (7) $i(all_2_2)
% 13.06/2.71 | (8) $i(all_2_1)
% 13.06/2.71 | (9) $i(all_2_0)
% 13.42/2.72 | (10) (all_2_0 = all_2_3 & all_2_1 = all_2_4 & ~ (all_2_3 = all_2_4) &
% 13.42/2.72 | young(all_2_3) & young(all_2_4) & man(all_2_3) & man(all_2_4) &
% 13.42/2.72 | fellow(all_2_3) & fellow(all_2_4) & in(all_2_3, all_2_2) &
% 13.42/2.72 | in(all_2_4, all_2_9) & in(all_2_7, all_2_8) & down(all_2_7, all_2_5)
% 13.42/2.72 | & barrel(all_2_7, all_2_6) & lonely(all_2_5) & way(all_2_5) &
% 13.42/2.72 | street(all_2_5) & old(all_2_6) & dirty(all_2_6) & white(all_2_6) &
% 13.42/2.72 | car(all_2_6) & chevy(all_2_6) & event(all_2_7) & city(all_2_8) &
% 13.42/2.72 | hollywood(all_2_8) & front(all_2_2) & front(all_2_9) &
% 13.42/2.72 | furniture(all_2_2) & furniture(all_2_9) & seat(all_2_2) &
% 13.42/2.72 | seat(all_2_9) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 13.42/2.72 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : (v6
% 13.42/2.72 | = v5 | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) |
% 13.42/2.72 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ young(v6) | ~ young(v5) |
% 13.42/2.72 | ~ man(v6) | ~ man(v5) | ~ fellow(v6) | ~ fellow(v5) | ~ in(v6,
% 13.42/2.72 | v0) | ~ in(v5, v7) | ~ in(v2, v1) | ~ down(v2, v4) | ~
% 13.42/2.72 | barrel(v2, v3) | ~ lonely(v4) | ~ way(v4) | ~ street(v4) | ~
% 13.42/2.72 | old(v3) | ~ dirty(v3) | ~ white(v3) | ~ car(v3) | ~ chevy(v3)
% 13.42/2.72 | | ~ event(v2) | ~ city(v1) | ~ hollywood(v1) | ~ front(v7) |
% 13.42/2.72 | ~ front(v0) | ~ furniture(v7) | ~ furniture(v0) | ~ seat(v7) |
% 13.42/2.72 | ~ seat(v0))) | (all_2_0 = all_2_3 & all_2_1 = all_2_4 & ~
% 13.42/2.72 | (all_2_3 = all_2_4) & young(all_2_3) & young(all_2_4) & man(all_2_3)
% 13.42/2.72 | & man(all_2_4) & fellow(all_2_3) & fellow(all_2_4) & in(all_2_3,
% 13.42/2.72 | all_2_9) & in(all_2_4, all_2_2) & in(all_2_7, all_2_8) &
% 13.42/2.72 | down(all_2_7, all_2_5) & barrel(all_2_7, all_2_6) & lonely(all_2_5)
% 13.42/2.72 | & way(all_2_5) & street(all_2_5) & old(all_2_6) & dirty(all_2_6) &
% 13.42/2.72 | white(all_2_6) & car(all_2_6) & chevy(all_2_6) & event(all_2_7) &
% 13.42/2.72 | city(all_2_8) & hollywood(all_2_8) & front(all_2_2) & front(all_2_9)
% 13.42/2.72 | & furniture(all_2_2) & furniture(all_2_9) & seat(all_2_2) &
% 13.42/2.72 | seat(all_2_9) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 13.42/2.72 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : (v6
% 13.42/2.72 | = v5 | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) |
% 13.42/2.72 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ young(v6) | ~ young(v5) |
% 13.42/2.72 | ~ man(v6) | ~ man(v5) | ~ fellow(v6) | ~ fellow(v5) | ~ in(v6,
% 13.42/2.72 | v7) | ~ in(v5, v0) | ~ in(v2, v1) | ~ down(v2, v4) | ~
% 13.42/2.72 | barrel(v2, v3) | ~ lonely(v4) | ~ way(v4) | ~ street(v4) | ~
% 13.42/2.72 | old(v3) | ~ dirty(v3) | ~ white(v3) | ~ car(v3) | ~ chevy(v3)
% 13.42/2.72 | | ~ event(v2) | ~ city(v1) | ~ hollywood(v1) | ~ front(v7) |
% 13.42/2.72 | ~ front(v0) | ~ furniture(v7) | ~ furniture(v0) | ~ seat(v7) |
% 13.42/2.72 | ~ seat(v0)))
% 13.42/2.72 |
% 13.42/2.72 | BETA: splitting (10) gives:
% 13.42/2.72 |
% 13.42/2.72 | Case 1:
% 13.42/2.72 | |
% 13.42/2.72 | | (11) all_2_0 = all_2_3 & all_2_1 = all_2_4 & ~ (all_2_3 = all_2_4) &
% 13.42/2.72 | | young(all_2_3) & young(all_2_4) & man(all_2_3) & man(all_2_4) &
% 13.42/2.72 | | fellow(all_2_3) & fellow(all_2_4) & in(all_2_3, all_2_2) &
% 13.42/2.72 | | in(all_2_4, all_2_9) & in(all_2_7, all_2_8) & down(all_2_7, all_2_5)
% 13.42/2.72 | | & barrel(all_2_7, all_2_6) & lonely(all_2_5) & way(all_2_5) &
% 13.42/2.72 | | street(all_2_5) & old(all_2_6) & dirty(all_2_6) & white(all_2_6) &
% 13.42/2.72 | | car(all_2_6) & chevy(all_2_6) & event(all_2_7) & city(all_2_8) &
% 13.42/2.72 | | hollywood(all_2_8) & front(all_2_2) & front(all_2_9) &
% 13.42/2.72 | | furniture(all_2_2) & furniture(all_2_9) & seat(all_2_2) &
% 13.42/2.72 | | seat(all_2_9) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 13.42/2.72 | | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : (v6
% 13.42/2.72 | | = v5 | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) |
% 13.42/2.72 | | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ young(v6) | ~ young(v5) |
% 13.42/2.72 | | ~ man(v6) | ~ man(v5) | ~ fellow(v6) | ~ fellow(v5) | ~ in(v6,
% 13.42/2.72 | | v0) | ~ in(v5, v7) | ~ in(v2, v1) | ~ down(v2, v4) | ~
% 13.42/2.72 | | barrel(v2, v3) | ~ lonely(v4) | ~ way(v4) | ~ street(v4) | ~
% 13.42/2.72 | | old(v3) | ~ dirty(v3) | ~ white(v3) | ~ car(v3) | ~ chevy(v3)
% 13.42/2.72 | | | ~ event(v2) | ~ city(v1) | ~ hollywood(v1) | ~ front(v7) |
% 13.42/2.72 | | ~ front(v0) | ~ furniture(v7) | ~ furniture(v0) | ~ seat(v7) |
% 13.42/2.72 | | ~ seat(v0))
% 13.42/2.72 | |
% 13.42/2.72 | | ALPHA: (11) implies:
% 13.42/2.72 | | (12) all_2_1 = all_2_4
% 13.42/2.72 | | (13) all_2_0 = all_2_3
% 13.42/2.72 | | (14) ~ (all_2_3 = all_2_4)
% 13.42/2.72 | | (15) seat(all_2_9)
% 13.42/2.72 | | (16) seat(all_2_2)
% 13.42/2.72 | | (17) furniture(all_2_9)
% 13.42/2.72 | | (18) furniture(all_2_2)
% 13.42/2.72 | | (19) front(all_2_9)
% 13.42/2.73 | | (20) front(all_2_2)
% 13.42/2.73 | | (21) hollywood(all_2_8)
% 13.42/2.73 | | (22) city(all_2_8)
% 13.42/2.73 | | (23) event(all_2_7)
% 13.42/2.73 | | (24) chevy(all_2_6)
% 13.42/2.73 | | (25) car(all_2_6)
% 13.42/2.73 | | (26) white(all_2_6)
% 13.42/2.73 | | (27) dirty(all_2_6)
% 13.42/2.73 | | (28) old(all_2_6)
% 13.42/2.73 | | (29) street(all_2_5)
% 13.42/2.73 | | (30) way(all_2_5)
% 13.42/2.73 | | (31) lonely(all_2_5)
% 13.42/2.73 | | (32) barrel(all_2_7, all_2_6)
% 13.42/2.73 | | (33) down(all_2_7, all_2_5)
% 13.42/2.73 | | (34) in(all_2_7, all_2_8)
% 13.42/2.73 | | (35) in(all_2_4, all_2_9)
% 13.42/2.73 | | (36) in(all_2_3, all_2_2)
% 13.42/2.73 | | (37) fellow(all_2_4)
% 13.42/2.73 | | (38) fellow(all_2_3)
% 13.42/2.73 | | (39) man(all_2_4)
% 13.42/2.73 | | (40) man(all_2_3)
% 13.42/2.73 | | (41) young(all_2_4)
% 13.42/2.73 | | (42) young(all_2_3)
% 13.42/2.73 | | (43) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i]
% 13.42/2.73 | | : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : (v6 = v5 | ~ $i(v7) |
% 13.42/2.73 | | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 13.42/2.73 | | $i(v1) | ~ $i(v0) | ~ young(v6) | ~ young(v5) | ~ man(v6) | ~
% 13.42/2.73 | | man(v5) | ~ fellow(v6) | ~ fellow(v5) | ~ in(v6, v0) | ~
% 13.42/2.73 | | in(v5, v7) | ~ in(v2, v1) | ~ down(v2, v4) | ~ barrel(v2, v3) |
% 13.42/2.73 | | ~ lonely(v4) | ~ way(v4) | ~ street(v4) | ~ old(v3) | ~
% 13.42/2.73 | | dirty(v3) | ~ white(v3) | ~ car(v3) | ~ chevy(v3) | ~
% 13.42/2.73 | | event(v2) | ~ city(v1) | ~ hollywood(v1) | ~ front(v7) | ~
% 13.42/2.73 | | front(v0) | ~ furniture(v7) | ~ furniture(v0) | ~ seat(v7) | ~
% 13.42/2.73 | | seat(v0))
% 13.42/2.73 | |
% 13.42/2.73 | | REDUCE: (9), (13) imply:
% 13.42/2.73 | | (44) $i(all_2_3)
% 13.42/2.73 | |
% 13.42/2.73 | | REDUCE: (8), (12) imply:
% 13.42/2.73 | | (45) $i(all_2_4)
% 13.42/2.73 | |
% 13.42/2.74 | | GROUND_INST: instantiating (43) with all_2_2, all_2_8, all_2_7, all_2_6,
% 13.42/2.74 | | all_2_5, all_2_4, all_2_3, all_2_9, simplifying with (2), (3),
% 13.42/2.74 | | (4), (5), (6), (7), (15), (16), (17), (18), (19), (20), (21),
% 13.42/2.74 | | (22), (23), (24), (25), (26), (27), (28), (29), (30), (31),
% 13.42/2.74 | | (32), (33), (34), (35), (36), (37), (38), (39), (40), (41),
% 13.42/2.74 | | (42), (44), (45) gives:
% 13.42/2.74 | | (46) all_2_3 = all_2_4
% 13.42/2.74 | |
% 13.42/2.74 | | REDUCE: (14), (46) imply:
% 13.42/2.74 | | (47) $false
% 13.42/2.74 | |
% 13.42/2.74 | | CLOSE: (47) is inconsistent.
% 13.42/2.74 | |
% 13.42/2.74 | Case 2:
% 13.42/2.74 | |
% 13.42/2.74 | | (48) all_2_0 = all_2_3 & all_2_1 = all_2_4 & ~ (all_2_3 = all_2_4) &
% 13.42/2.74 | | young(all_2_3) & young(all_2_4) & man(all_2_3) & man(all_2_4) &
% 13.42/2.74 | | fellow(all_2_3) & fellow(all_2_4) & in(all_2_3, all_2_9) &
% 13.42/2.74 | | in(all_2_4, all_2_2) & in(all_2_7, all_2_8) & down(all_2_7, all_2_5)
% 13.42/2.74 | | & barrel(all_2_7, all_2_6) & lonely(all_2_5) & way(all_2_5) &
% 13.42/2.74 | | street(all_2_5) & old(all_2_6) & dirty(all_2_6) & white(all_2_6) &
% 13.42/2.74 | | car(all_2_6) & chevy(all_2_6) & event(all_2_7) & city(all_2_8) &
% 13.42/2.74 | | hollywood(all_2_8) & front(all_2_2) & front(all_2_9) &
% 13.42/2.74 | | furniture(all_2_2) & furniture(all_2_9) & seat(all_2_2) &
% 13.42/2.74 | | seat(all_2_9) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 13.42/2.74 | | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : (v6
% 13.42/2.74 | | = v5 | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) |
% 13.42/2.74 | | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ young(v6) | ~ young(v5) |
% 13.42/2.74 | | ~ man(v6) | ~ man(v5) | ~ fellow(v6) | ~ fellow(v5) | ~ in(v6,
% 13.42/2.74 | | v7) | ~ in(v5, v0) | ~ in(v2, v1) | ~ down(v2, v4) | ~
% 13.42/2.74 | | barrel(v2, v3) | ~ lonely(v4) | ~ way(v4) | ~ street(v4) | ~
% 13.42/2.74 | | old(v3) | ~ dirty(v3) | ~ white(v3) | ~ car(v3) | ~ chevy(v3)
% 13.42/2.74 | | | ~ event(v2) | ~ city(v1) | ~ hollywood(v1) | ~ front(v7) |
% 13.42/2.74 | | ~ front(v0) | ~ furniture(v7) | ~ furniture(v0) | ~ seat(v7) |
% 13.42/2.74 | | ~ seat(v0))
% 13.42/2.74 | |
% 13.42/2.74 | | ALPHA: (48) implies:
% 13.42/2.74 | | (49) all_2_1 = all_2_4
% 13.42/2.74 | | (50) all_2_0 = all_2_3
% 13.42/2.74 | | (51) ~ (all_2_3 = all_2_4)
% 13.42/2.74 | | (52) seat(all_2_9)
% 13.42/2.74 | | (53) seat(all_2_2)
% 13.42/2.74 | | (54) furniture(all_2_9)
% 13.42/2.74 | | (55) furniture(all_2_2)
% 13.42/2.74 | | (56) front(all_2_9)
% 13.42/2.74 | | (57) front(all_2_2)
% 13.42/2.74 | | (58) hollywood(all_2_8)
% 13.42/2.74 | | (59) city(all_2_8)
% 13.42/2.74 | | (60) event(all_2_7)
% 13.42/2.74 | | (61) chevy(all_2_6)
% 13.42/2.74 | | (62) car(all_2_6)
% 13.42/2.74 | | (63) white(all_2_6)
% 13.42/2.74 | | (64) dirty(all_2_6)
% 13.42/2.74 | | (65) old(all_2_6)
% 13.42/2.74 | | (66) street(all_2_5)
% 13.42/2.74 | | (67) way(all_2_5)
% 13.42/2.74 | | (68) lonely(all_2_5)
% 13.42/2.75 | | (69) barrel(all_2_7, all_2_6)
% 13.42/2.75 | | (70) down(all_2_7, all_2_5)
% 13.42/2.75 | | (71) in(all_2_7, all_2_8)
% 13.42/2.75 | | (72) in(all_2_4, all_2_2)
% 13.42/2.75 | | (73) in(all_2_3, all_2_9)
% 13.42/2.75 | | (74) fellow(all_2_4)
% 13.42/2.75 | | (75) fellow(all_2_3)
% 13.42/2.75 | | (76) man(all_2_4)
% 13.42/2.75 | | (77) man(all_2_3)
% 13.42/2.75 | | (78) young(all_2_4)
% 13.42/2.75 | | (79) young(all_2_3)
% 13.42/2.75 | | (80) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i]
% 13.42/2.75 | | : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : (v6 = v5 | ~ $i(v7) |
% 13.42/2.75 | | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 13.42/2.75 | | $i(v1) | ~ $i(v0) | ~ young(v6) | ~ young(v5) | ~ man(v6) | ~
% 13.42/2.75 | | man(v5) | ~ fellow(v6) | ~ fellow(v5) | ~ in(v6, v7) | ~
% 13.42/2.75 | | in(v5, v0) | ~ in(v2, v1) | ~ down(v2, v4) | ~ barrel(v2, v3) |
% 13.42/2.75 | | ~ lonely(v4) | ~ way(v4) | ~ street(v4) | ~ old(v3) | ~
% 13.42/2.75 | | dirty(v3) | ~ white(v3) | ~ car(v3) | ~ chevy(v3) | ~
% 13.42/2.75 | | event(v2) | ~ city(v1) | ~ hollywood(v1) | ~ front(v7) | ~
% 13.42/2.75 | | front(v0) | ~ furniture(v7) | ~ furniture(v0) | ~ seat(v7) | ~
% 13.42/2.75 | | seat(v0))
% 13.42/2.75 | |
% 13.42/2.75 | | REDUCE: (9), (50) imply:
% 13.42/2.75 | | (81) $i(all_2_3)
% 13.42/2.75 | |
% 13.42/2.75 | | REDUCE: (8), (49) imply:
% 13.42/2.75 | | (82) $i(all_2_4)
% 13.42/2.75 | |
% 13.42/2.75 | | GROUND_INST: instantiating (80) with all_2_2, all_2_8, all_2_7, all_2_6,
% 13.42/2.75 | | all_2_5, all_2_4, all_2_3, all_2_9, simplifying with (2), (3),
% 13.42/2.75 | | (4), (5), (6), (7), (52), (53), (54), (55), (56), (57), (58),
% 13.42/2.75 | | (59), (60), (61), (62), (63), (64), (65), (66), (67), (68),
% 13.42/2.75 | | (69), (70), (71), (72), (73), (74), (75), (76), (77), (78),
% 13.42/2.75 | | (79), (81), (82) gives:
% 13.42/2.75 | | (83) all_2_3 = all_2_4
% 13.42/2.75 | |
% 13.42/2.75 | | REDUCE: (51), (83) imply:
% 13.42/2.75 | | (84) $false
% 13.42/2.75 | |
% 13.42/2.75 | | CLOSE: (84) is inconsistent.
% 13.42/2.75 | |
% 13.42/2.75 | End of split
% 13.42/2.75 |
% 13.42/2.75 End of proof
% 13.42/2.75 % SZS output end Proof for theBenchmark
% 13.42/2.75
% 13.42/2.75 2148ms
%------------------------------------------------------------------------------