TSTP Solution File: GEO170+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : GEO170+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n007.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 : Wed Aug 30 23:21:48 EDT 2023
% Result : Theorem 6.09s 1.62s
% Output : Proof 9.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : GEO170+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.11 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.10/0.31 % Computer : n007.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Aug 29 21:55:43 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.56/0.58 ________ _____
% 0.56/0.58 ___ __ \_________(_)________________________________
% 0.56/0.58 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.56/0.58 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.56/0.58 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.56/0.58
% 0.56/0.58 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.56/0.58 (2023-06-19)
% 0.56/0.58
% 0.56/0.58 (c) Philipp Rümmer, 2009-2023
% 0.56/0.58 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.56/0.58 Amanda Stjerna.
% 0.56/0.58 Free software under BSD-3-Clause.
% 0.56/0.58
% 0.56/0.58 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.56/0.58
% 0.56/0.58 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.56/0.60 Running up to 7 provers in parallel.
% 0.56/0.61 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.56/0.61 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.56/0.61 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.56/0.61 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.56/0.61 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.56/0.61 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.56/0.61 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.37/1.08 Prover 4: Preprocessing ...
% 2.37/1.08 Prover 1: Preprocessing ...
% 2.67/1.13 Prover 0: Preprocessing ...
% 2.67/1.13 Prover 3: Preprocessing ...
% 2.67/1.13 Prover 2: Preprocessing ...
% 2.67/1.13 Prover 5: Preprocessing ...
% 2.67/1.13 Prover 6: Preprocessing ...
% 4.75/1.42 Prover 5: Proving ...
% 4.75/1.42 Prover 2: Proving ...
% 4.75/1.44 Prover 6: Constructing countermodel ...
% 5.41/1.47 Prover 3: Constructing countermodel ...
% 5.65/1.49 Prover 1: Constructing countermodel ...
% 6.09/1.62 Prover 5: proved (1005ms)
% 6.09/1.62
% 6.09/1.62 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.09/1.62
% 6.09/1.62 Prover 2: proved (1010ms)
% 6.09/1.62
% 6.09/1.62 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.09/1.62
% 6.09/1.62 Prover 6: stopped
% 6.09/1.62 Prover 3: stopped
% 6.09/1.62 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 6.09/1.62 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 6.69/1.63 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 6.69/1.63 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 6.69/1.63 Prover 4: Constructing countermodel ...
% 6.69/1.66 Prover 0: Proving ...
% 6.69/1.67 Prover 8: Preprocessing ...
% 6.69/1.67 Prover 11: Preprocessing ...
% 7.10/1.69 Prover 7: Preprocessing ...
% 7.10/1.69 Prover 10: Preprocessing ...
% 7.10/1.69 Prover 0: stopped
% 7.10/1.70 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 7.10/1.74 Prover 13: Preprocessing ...
% 7.10/1.75 Prover 10: Warning: ignoring some quantifiers
% 7.10/1.77 Prover 10: Constructing countermodel ...
% 7.75/1.78 Prover 7: Warning: ignoring some quantifiers
% 7.89/1.79 Prover 7: Constructing countermodel ...
% 7.89/1.79 Prover 8: Warning: ignoring some quantifiers
% 8.08/1.82 Prover 8: Constructing countermodel ...
% 8.08/1.82 Prover 13: Warning: ignoring some quantifiers
% 8.18/1.83 Prover 13: Constructing countermodel ...
% 8.18/1.86 Prover 1: Found proof (size 32)
% 8.18/1.88 Prover 1: proved (1252ms)
% 8.18/1.88 Prover 4: stopped
% 8.18/1.88 Prover 8: stopped
% 8.18/1.88 Prover 13: stopped
% 8.18/1.88 Prover 10: stopped
% 8.18/1.88 Prover 7: stopped
% 9.08/1.99 Prover 11: Constructing countermodel ...
% 9.08/2.00 Prover 11: stopped
% 9.08/2.00
% 9.08/2.00 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.08/2.00
% 9.08/2.01 % SZS output start Proof for theBenchmark
% 9.08/2.02 Assumptions after simplification:
% 9.08/2.02 ---------------------------------
% 9.08/2.02
% 9.08/2.02 (ci1)
% 9.08/2.06 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (line_connecting(v0, v1) = v2) |
% 9.08/2.06 ~ (apart_point_and_line(v0, v2) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v3: int]
% 9.08/2.06 : ( ~ (v3 = 0) & distinct_points(v0, v1) = v3))
% 9.08/2.06
% 9.08/2.06 (ci2)
% 9.51/2.07 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (line_connecting(v0, v1) = v2) |
% 9.51/2.07 ~ (apart_point_and_line(v1, v2) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v3: int]
% 9.51/2.07 : ( ~ (v3 = 0) & distinct_points(v0, v1) = v3))
% 9.51/2.07
% 9.51/2.07 (con)
% 9.51/2.07 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: int] : ? [v4: int] : ?
% 9.51/2.07 [v5: $i] : ( ~ (v4 = 0) & ~ (v3 = 0) & line_connecting(v0, v1) = v5 &
% 9.51/2.07 apart_point_and_line(v1, v2) = v4 & apart_point_and_line(v0, v2) = v3 &
% 9.51/2.07 distinct_lines(v2, v5) = 0 & distinct_points(v0, v1) = 0 & $i(v5) & $i(v2) &
% 9.51/2.07 $i(v1) & $i(v0))
% 9.51/2.07
% 9.51/2.07 (cu1)
% 9.51/2.08 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 9.51/2.08 (distinct_lines(v2, v3) = 0) | ~ (distinct_points(v0, v1) = 0) | ~ $i(v3)
% 9.51/2.08 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6:
% 9.51/2.08 any] : ? [v7: any] : (apart_point_and_line(v1, v3) = v7 &
% 9.51/2.08 apart_point_and_line(v1, v2) = v6 & apart_point_and_line(v0, v3) = v5 &
% 9.51/2.08 apart_point_and_line(v0, v2) = v4 & (v7 = 0 | v6 = 0 | v5 = 0 | v4 = 0)))
% 9.51/2.08
% 9.51/2.08 (function-axioms)
% 9.59/2.09 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 9.59/2.09 (intersection_point(v3, v2) = v1) | ~ (intersection_point(v3, v2) = v0)) &
% 9.59/2.09 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 9.59/2.09 (line_connecting(v3, v2) = v1) | ~ (line_connecting(v3, v2) = v0)) & !
% 9.59/2.09 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 9.59/2.09 $i] : (v1 = v0 | ~ (apart_point_and_line(v3, v2) = v1) | ~
% 9.59/2.09 (apart_point_and_line(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 9.59/2.09 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 9.59/2.09 (convergent_lines(v3, v2) = v1) | ~ (convergent_lines(v3, v2) = v0)) & !
% 9.59/2.09 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 9.59/2.09 $i] : (v1 = v0 | ~ (distinct_lines(v3, v2) = v1) | ~ (distinct_lines(v3,
% 9.59/2.09 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 9.59/2.09 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (distinct_points(v3, v2) = v1) | ~
% 9.59/2.09 (distinct_points(v3, v2) = v0))
% 9.59/2.09
% 9.59/2.09 Further assumptions not needed in the proof:
% 9.59/2.09 --------------------------------------------
% 9.59/2.09 apart1, apart2, apart3, apart4, apart5, ax6, ceq1, ceq2, ceq3, ci3, ci4
% 9.59/2.09
% 9.59/2.09 Those formulas are unsatisfiable:
% 9.59/2.09 ---------------------------------
% 9.59/2.09
% 9.59/2.09 Begin of proof
% 9.59/2.09 |
% 9.59/2.09 | ALPHA: (function-axioms) implies:
% 9.59/2.10 | (1) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 9.59/2.10 | ! [v3: $i] : (v1 = v0 | ~ (distinct_points(v3, v2) = v1) | ~
% 9.59/2.10 | (distinct_points(v3, v2) = v0))
% 9.59/2.10 | (2) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 9.59/2.10 | ! [v3: $i] : (v1 = v0 | ~ (apart_point_and_line(v3, v2) = v1) | ~
% 9.59/2.10 | (apart_point_and_line(v3, v2) = v0))
% 9.59/2.10 |
% 9.59/2.10 | DELTA: instantiating (con) with fresh symbols all_17_0, all_17_1, all_17_2,
% 9.59/2.10 | all_17_3, all_17_4, all_17_5 gives:
% 9.59/2.10 | (3) ~ (all_17_1 = 0) & ~ (all_17_2 = 0) & line_connecting(all_17_5,
% 9.59/2.10 | all_17_4) = all_17_0 & apart_point_and_line(all_17_4, all_17_3) =
% 9.59/2.10 | all_17_1 & apart_point_and_line(all_17_5, all_17_3) = all_17_2 &
% 9.59/2.10 | distinct_lines(all_17_3, all_17_0) = 0 & distinct_points(all_17_5,
% 9.59/2.10 | all_17_4) = 0 & $i(all_17_0) & $i(all_17_3) & $i(all_17_4) &
% 9.59/2.10 | $i(all_17_5)
% 9.59/2.10 |
% 9.59/2.10 | ALPHA: (3) implies:
% 9.59/2.10 | (4) ~ (all_17_2 = 0)
% 9.59/2.10 | (5) ~ (all_17_1 = 0)
% 9.59/2.10 | (6) $i(all_17_5)
% 9.59/2.10 | (7) $i(all_17_4)
% 9.59/2.10 | (8) $i(all_17_3)
% 9.59/2.10 | (9) $i(all_17_0)
% 9.59/2.11 | (10) distinct_points(all_17_5, all_17_4) = 0
% 9.59/2.11 | (11) distinct_lines(all_17_3, all_17_0) = 0
% 9.59/2.11 | (12) apart_point_and_line(all_17_5, all_17_3) = all_17_2
% 9.59/2.11 | (13) apart_point_and_line(all_17_4, all_17_3) = all_17_1
% 9.59/2.11 | (14) line_connecting(all_17_5, all_17_4) = all_17_0
% 9.59/2.11 |
% 9.59/2.11 | GROUND_INST: instantiating (cu1) with all_17_5, all_17_4, all_17_3, all_17_0,
% 9.59/2.11 | simplifying with (6), (7), (8), (9), (10), (11) gives:
% 9.59/2.11 | (15) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 9.59/2.11 | (apart_point_and_line(all_17_4, all_17_0) = v3 &
% 9.59/2.11 | apart_point_and_line(all_17_4, all_17_3) = v2 &
% 9.59/2.11 | apart_point_and_line(all_17_5, all_17_0) = v1 &
% 9.59/2.11 | apart_point_and_line(all_17_5, all_17_3) = v0 & (v3 = 0 | v2 = 0 |
% 9.59/2.11 | v1 = 0 | v0 = 0))
% 9.59/2.11 |
% 9.59/2.11 | DELTA: instantiating (15) with fresh symbols all_24_0, all_24_1, all_24_2,
% 9.59/2.11 | all_24_3 gives:
% 9.74/2.12 | (16) apart_point_and_line(all_17_4, all_17_0) = all_24_0 &
% 9.74/2.12 | apart_point_and_line(all_17_4, all_17_3) = all_24_1 &
% 9.74/2.12 | apart_point_and_line(all_17_5, all_17_0) = all_24_2 &
% 9.74/2.12 | apart_point_and_line(all_17_5, all_17_3) = all_24_3 & (all_24_0 = 0 |
% 9.74/2.12 | all_24_1 = 0 | all_24_2 = 0 | all_24_3 = 0)
% 9.74/2.12 |
% 9.74/2.12 | ALPHA: (16) implies:
% 9.74/2.12 | (17) apart_point_and_line(all_17_5, all_17_3) = all_24_3
% 9.74/2.12 | (18) apart_point_and_line(all_17_5, all_17_0) = all_24_2
% 9.74/2.12 | (19) apart_point_and_line(all_17_4, all_17_3) = all_24_1
% 9.74/2.12 | (20) apart_point_and_line(all_17_4, all_17_0) = all_24_0
% 9.74/2.12 | (21) all_24_0 = 0 | all_24_1 = 0 | all_24_2 = 0 | all_24_3 = 0
% 9.74/2.12 |
% 9.74/2.12 | GROUND_INST: instantiating (2) with all_17_2, all_24_3, all_17_3, all_17_5,
% 9.74/2.12 | simplifying with (12), (17) gives:
% 9.74/2.12 | (22) all_24_3 = all_17_2
% 9.74/2.12 |
% 9.74/2.12 | GROUND_INST: instantiating (2) with all_17_1, all_24_1, all_17_3, all_17_4,
% 9.74/2.12 | simplifying with (13), (19) gives:
% 9.74/2.12 | (23) all_24_1 = all_17_1
% 9.74/2.12 |
% 9.74/2.12 | BETA: splitting (21) gives:
% 9.74/2.12 |
% 9.74/2.12 | Case 1:
% 9.74/2.12 | |
% 9.74/2.12 | | (24) all_24_0 = 0
% 9.74/2.12 | |
% 9.74/2.12 | | REDUCE: (20), (24) imply:
% 9.74/2.12 | | (25) apart_point_and_line(all_17_4, all_17_0) = 0
% 9.74/2.12 | |
% 9.74/2.12 | | GROUND_INST: instantiating (ci2) with all_17_5, all_17_4, all_17_0,
% 9.74/2.12 | | simplifying with (6), (7), (14), (25) gives:
% 9.74/2.12 | | (26) ? [v0: int] : ( ~ (v0 = 0) & distinct_points(all_17_5, all_17_4) =
% 9.74/2.12 | | v0)
% 9.74/2.12 | |
% 9.74/2.12 | | DELTA: instantiating (26) with fresh symbol all_42_0 gives:
% 9.74/2.12 | | (27) ~ (all_42_0 = 0) & distinct_points(all_17_5, all_17_4) = all_42_0
% 9.74/2.12 | |
% 9.74/2.12 | | ALPHA: (27) implies:
% 9.74/2.12 | | (28) ~ (all_42_0 = 0)
% 9.74/2.12 | | (29) distinct_points(all_17_5, all_17_4) = all_42_0
% 9.74/2.12 | |
% 9.74/2.13 | | GROUND_INST: instantiating (1) with 0, all_42_0, all_17_4, all_17_5,
% 9.74/2.13 | | simplifying with (10), (29) gives:
% 9.74/2.13 | | (30) all_42_0 = 0
% 9.74/2.13 | |
% 9.74/2.13 | | REDUCE: (28), (30) imply:
% 9.74/2.13 | | (31) $false
% 9.74/2.13 | |
% 9.74/2.13 | | CLOSE: (31) is inconsistent.
% 9.74/2.13 | |
% 9.74/2.13 | Case 2:
% 9.74/2.13 | |
% 9.74/2.13 | | (32) all_24_1 = 0 | all_24_2 = 0 | all_24_3 = 0
% 9.74/2.13 | |
% 9.74/2.13 | | BETA: splitting (32) gives:
% 9.74/2.13 | |
% 9.74/2.13 | | Case 1:
% 9.74/2.13 | | |
% 9.74/2.13 | | | (33) all_24_1 = 0
% 9.74/2.13 | | |
% 9.74/2.13 | | | COMBINE_EQS: (23), (33) imply:
% 9.74/2.13 | | | (34) all_17_1 = 0
% 9.74/2.13 | | |
% 9.74/2.13 | | | REDUCE: (5), (34) imply:
% 9.74/2.13 | | | (35) $false
% 9.74/2.13 | | |
% 9.74/2.13 | | | CLOSE: (35) is inconsistent.
% 9.74/2.13 | | |
% 9.74/2.13 | | Case 2:
% 9.74/2.13 | | |
% 9.74/2.13 | | | (36) all_24_2 = 0 | all_24_3 = 0
% 9.74/2.13 | | |
% 9.74/2.13 | | | BETA: splitting (36) gives:
% 9.74/2.13 | | |
% 9.74/2.13 | | | Case 1:
% 9.74/2.13 | | | |
% 9.74/2.13 | | | | (37) all_24_2 = 0
% 9.74/2.13 | | | |
% 9.74/2.13 | | | | REDUCE: (18), (37) imply:
% 9.74/2.13 | | | | (38) apart_point_and_line(all_17_5, all_17_0) = 0
% 9.74/2.13 | | | |
% 9.74/2.13 | | | | GROUND_INST: instantiating (ci1) with all_17_5, all_17_4, all_17_0,
% 9.74/2.13 | | | | simplifying with (6), (7), (14), (38) gives:
% 9.74/2.14 | | | | (39) ? [v0: int] : ( ~ (v0 = 0) & distinct_points(all_17_5,
% 9.74/2.14 | | | | all_17_4) = v0)
% 9.74/2.14 | | | |
% 9.74/2.14 | | | | DELTA: instantiating (39) with fresh symbol all_50_0 gives:
% 9.74/2.14 | | | | (40) ~ (all_50_0 = 0) & distinct_points(all_17_5, all_17_4) =
% 9.74/2.14 | | | | all_50_0
% 9.74/2.14 | | | |
% 9.74/2.14 | | | | ALPHA: (40) implies:
% 9.74/2.14 | | | | (41) ~ (all_50_0 = 0)
% 9.74/2.14 | | | | (42) distinct_points(all_17_5, all_17_4) = all_50_0
% 9.74/2.14 | | | |
% 9.74/2.14 | | | | GROUND_INST: instantiating (1) with 0, all_50_0, all_17_4, all_17_5,
% 9.74/2.14 | | | | simplifying with (10), (42) gives:
% 9.74/2.14 | | | | (43) all_50_0 = 0
% 9.74/2.14 | | | |
% 9.74/2.14 | | | | REDUCE: (41), (43) imply:
% 9.74/2.14 | | | | (44) $false
% 9.74/2.14 | | | |
% 9.74/2.14 | | | | CLOSE: (44) is inconsistent.
% 9.74/2.14 | | | |
% 9.74/2.14 | | | Case 2:
% 9.74/2.14 | | | |
% 9.74/2.14 | | | | (45) all_24_3 = 0
% 9.74/2.14 | | | |
% 9.74/2.14 | | | | COMBINE_EQS: (22), (45) imply:
% 9.74/2.14 | | | | (46) all_17_2 = 0
% 9.74/2.14 | | | |
% 9.74/2.14 | | | | SIMP: (46) implies:
% 9.74/2.14 | | | | (47) all_17_2 = 0
% 9.74/2.14 | | | |
% 9.74/2.14 | | | | REDUCE: (4), (47) imply:
% 9.74/2.14 | | | | (48) $false
% 9.74/2.14 | | | |
% 9.74/2.14 | | | | CLOSE: (48) is inconsistent.
% 9.74/2.14 | | | |
% 9.74/2.14 | | | End of split
% 9.74/2.14 | | |
% 9.74/2.14 | | End of split
% 9.74/2.14 | |
% 9.74/2.14 | End of split
% 9.74/2.14 |
% 9.74/2.14 End of proof
% 9.74/2.14 % SZS output end Proof for theBenchmark
% 9.74/2.14
% 9.74/2.14 1555ms
%------------------------------------------------------------------------------