TSTP Solution File: GEO204+3 by Princess---230619
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : GEO204+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n024.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 23:22:17 EDT 2023
% Result : Theorem 10.12s 2.10s
% Output : Proof 12.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GEO204+3 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n024.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 : Tue Aug 29 23:16:08 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.61 ________ _____
% 0.19/0.61 ___ __ \_________(_)________________________________
% 0.19/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.19/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.19/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.19/0.61
% 0.19/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.61 (2023-06-19)
% 0.19/0.61
% 0.19/0.61 (c) Philipp Rümmer, 2009-2023
% 0.19/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.61 Amanda Stjerna.
% 0.19/0.61 Free software under BSD-3-Clause.
% 0.19/0.61
% 0.19/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.61
% 0.19/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.19/0.62 Running up to 7 provers in parallel.
% 0.19/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.31/1.16 Prover 4: Preprocessing ...
% 3.31/1.16 Prover 1: Preprocessing ...
% 3.56/1.20 Prover 2: Preprocessing ...
% 3.56/1.20 Prover 5: Preprocessing ...
% 3.56/1.20 Prover 0: Preprocessing ...
% 3.56/1.20 Prover 6: Preprocessing ...
% 3.56/1.20 Prover 3: Preprocessing ...
% 6.13/1.61 Prover 5: Proving ...
% 6.13/1.61 Prover 2: Proving ...
% 6.13/1.64 Prover 6: Constructing countermodel ...
% 6.13/1.65 Prover 1: Constructing countermodel ...
% 6.88/1.66 Prover 3: Constructing countermodel ...
% 9.06/1.98 Prover 4: Constructing countermodel ...
% 9.06/2.04 Prover 0: Proving ...
% 10.12/2.10 Prover 3: proved (1437ms)
% 10.12/2.10
% 10.12/2.10 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.12/2.10
% 10.12/2.10 Prover 6: stopped
% 10.12/2.10 Prover 2: stopped
% 10.12/2.10 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 10.12/2.10 Prover 0: stopped
% 10.12/2.10 Prover 5: stopped
% 10.12/2.11 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 10.12/2.11 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 10.12/2.11 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 10.12/2.11 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 10.47/2.17 Prover 7: Preprocessing ...
% 10.47/2.17 Prover 13: Preprocessing ...
% 10.47/2.18 Prover 10: Preprocessing ...
% 10.47/2.18 Prover 8: Preprocessing ...
% 10.47/2.20 Prover 11: Preprocessing ...
% 10.77/2.23 Prover 10: Warning: ignoring some quantifiers
% 10.77/2.24 Prover 7: Warning: ignoring some quantifiers
% 10.77/2.25 Prover 10: Constructing countermodel ...
% 10.77/2.26 Prover 13: Warning: ignoring some quantifiers
% 10.77/2.26 Prover 7: Constructing countermodel ...
% 11.42/2.28 Prover 1: Found proof (size 90)
% 11.42/2.28 Prover 1: proved (1651ms)
% 11.42/2.28 Prover 4: stopped
% 11.42/2.28 Prover 7: stopped
% 11.42/2.29 Prover 10: stopped
% 11.42/2.29 Prover 13: Constructing countermodel ...
% 11.42/2.30 Prover 13: stopped
% 11.42/2.31 Prover 8: Warning: ignoring some quantifiers
% 11.42/2.31 Prover 11: stopped
% 11.75/2.32 Prover 8: Constructing countermodel ...
% 11.75/2.33 Prover 8: stopped
% 11.75/2.33
% 11.75/2.33 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.75/2.33
% 11.75/2.35 % SZS output start Proof for theBenchmark
% 11.88/2.36 Assumptions after simplification:
% 11.88/2.36 ---------------------------------
% 11.88/2.36
% 11.88/2.36 (apart4)
% 11.88/2.39 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 11.88/2.39 (distinct_points(v0, v2) = v3) | ~ (distinct_points(v0, v1) = 0) | ~
% 11.88/2.39 $i(v2) | ~ $i(v1) | ~ $i(v0) | distinct_points(v1, v2) = 0)
% 11.88/2.39
% 11.88/2.39 (ax1)
% 11.88/2.39 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (equal_points(v0, v1)
% 11.88/2.39 = v2) | ~ $i(v1) | ~ $i(v0) | distinct_points(v0, v1) = 0) & ! [v0: $i]
% 11.88/2.39 : ! [v1: $i] : ( ~ (equal_points(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ?
% 11.88/2.39 [v2: int] : ( ~ (v2 = 0) & distinct_points(v0, v1) = v2))
% 11.88/2.39
% 11.88/2.39 (ax2)
% 11.88/2.39 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (equal_lines(v0, v1) =
% 11.88/2.39 v2) | ~ $i(v1) | ~ $i(v0) | distinct_lines(v0, v1) = 0) & ! [v0: $i] :
% 11.88/2.39 ! [v1: $i] : ( ~ (equal_lines(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2:
% 11.88/2.39 int] : ( ~ (v2 = 0) & distinct_lines(v0, v1) = v2))
% 11.88/2.39
% 11.88/2.39 (ceq1)
% 11.88/2.39 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 11.88/2.39 (apart_point_and_line(v0, v1) = 0) | ~ (distinct_points(v0, v2) = v3) | ~
% 11.88/2.39 $i(v2) | ~ $i(v1) | ~ $i(v0) | apart_point_and_line(v2, v1) = 0)
% 11.88/2.39
% 11.88/2.39 (ci1)
% 11.88/2.40 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (line_connecting(v0, v1) = v2) |
% 11.88/2.40 ~ (apart_point_and_line(v0, v2) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v3: int]
% 11.88/2.40 : ( ~ (v3 = 0) & distinct_points(v0, v1) = v3))
% 11.88/2.40
% 11.88/2.40 (ci2)
% 11.88/2.40 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (line_connecting(v0, v1) = v2) |
% 11.88/2.40 ~ (apart_point_and_line(v1, v2) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v3: int]
% 11.88/2.40 : ( ~ (v3 = 0) & distinct_points(v0, v1) = v3))
% 11.88/2.40
% 11.88/2.40 (con)
% 11.88/2.40 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: any] : ? [v4: $i] : ? [v5:
% 11.88/2.40 $i] : ? [v6: any] : (equal_lines(v4, v5) = v6 & equal_points(v1, v2) = 0 &
% 11.88/2.40 line_connecting(v0, v2) = v5 & line_connecting(v0, v1) = v4 &
% 11.88/2.40 distinct_points(v0, v2) = v3 & distinct_points(v0, v1) = 0 & $i(v5) & $i(v4)
% 11.88/2.40 & $i(v2) & $i(v1) & $i(v0) & ( ~ (v6 = 0) | ~ (v3 = 0)))
% 11.88/2.40
% 11.88/2.40 (con1)
% 11.88/2.40 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (line_connecting(v0, v1) = v2) |
% 11.88/2.40 ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6:
% 11.88/2.40 any] : (point(v1) = v4 & point(v0) = v3 & line(v2) = v6 &
% 11.88/2.40 distinct_points(v0, v1) = v5 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) |
% 11.88/2.40 v6 = 0)))
% 11.88/2.40
% 11.88/2.40 (cu1)
% 11.88/2.40 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 11.88/2.40 (distinct_lines(v2, v3) = 0) | ~ (distinct_points(v0, v1) = 0) | ~ $i(v3)
% 11.88/2.40 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6:
% 11.88/2.40 any] : ? [v7: any] : (apart_point_and_line(v1, v3) = v7 &
% 11.88/2.40 apart_point_and_line(v1, v2) = v6 & apart_point_and_line(v0, v3) = v5 &
% 11.88/2.40 apart_point_and_line(v0, v2) = v4 & (v7 = 0 | v6 = 0 | v5 = 0 | v4 = 0)))
% 11.88/2.40
% 11.88/2.40 (function-axioms)
% 11.88/2.41 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 11.88/2.41 [v3: $i] : (v1 = v0 | ~ (orthogonal_lines(v3, v2) = v1) | ~
% 11.88/2.41 (orthogonal_lines(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 11.88/2.41 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 11.88/2.41 (incident_point_and_line(v3, v2) = v1) | ~ (incident_point_and_line(v3, v2)
% 11.88/2.41 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 11.88/2.41 $i] : ! [v3: $i] : (v1 = v0 | ~ (parallel_lines(v3, v2) = v1) | ~
% 11.88/2.41 (parallel_lines(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 11.88/2.41 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 11.88/2.41 (equal_lines(v3, v2) = v1) | ~ (equal_lines(v3, v2) = v0)) & ! [v0:
% 11.88/2.41 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 11.88/2.41 : (v1 = v0 | ~ (equal_points(v3, v2) = v1) | ~ (equal_points(v3, v2) = v0))
% 11.88/2.41 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 11.88/2.41 (orthogonal_through_point(v3, v2) = v1) | ~ (orthogonal_through_point(v3,
% 11.88/2.41 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 11.88/2.41 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (unorthogonal_lines(v3, v2) = v1) |
% 11.88/2.41 ~ (unorthogonal_lines(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 11.88/2.41 $i] : ! [v3: $i] : (v1 = v0 | ~ (parallel_through_point(v3, v2) = v1) | ~
% 11.88/2.41 (parallel_through_point(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 11.88/2.41 $i] : ! [v3: $i] : (v1 = v0 | ~ (intersection_point(v3, v2) = v1) | ~
% 11.88/2.41 (intersection_point(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 11.88/2.41 : ! [v3: $i] : (v1 = v0 | ~ (line_connecting(v3, v2) = v1) | ~
% 11.88/2.41 (line_connecting(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 11.88/2.41 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 11.88/2.41 (apart_point_and_line(v3, v2) = v1) | ~ (apart_point_and_line(v3, v2) =
% 11.88/2.41 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 11.88/2.41 $i] : ! [v3: $i] : (v1 = v0 | ~ (convergent_lines(v3, v2) = v1) | ~
% 11.88/2.41 (convergent_lines(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 11.88/2.41 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 11.88/2.41 (distinct_lines(v3, v2) = v1) | ~ (distinct_lines(v3, v2) = v0)) & ! [v0:
% 11.88/2.41 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 11.88/2.41 : (v1 = v0 | ~ (distinct_points(v3, v2) = v1) | ~ (distinct_points(v3, v2) =
% 11.88/2.41 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 11.88/2.41 $i] : (v1 = v0 | ~ (point(v2) = v1) | ~ (point(v2) = v0)) & ! [v0:
% 11.88/2.41 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 11.88/2.41 ~ (line(v2) = v1) | ~ (line(v2) = v0))
% 11.88/2.41
% 11.88/2.41 Further assumptions not needed in the proof:
% 11.88/2.41 --------------------------------------------
% 11.88/2.41 a3, a4, a5, apart1, apart2, apart3, apart5, ax6, ceq2, ceq3, ci3, ci4, coipo1,
% 11.88/2.41 cotno1, couo1, cp1, cp2, cup1, int1, oac1, occu1, ooc1, ooc2, orth1, ouo1, p1,
% 11.88/2.41 par1
% 11.88/2.41
% 11.88/2.41 Those formulas are unsatisfiable:
% 11.88/2.41 ---------------------------------
% 11.88/2.41
% 11.88/2.41 Begin of proof
% 11.88/2.41 |
% 11.88/2.41 | ALPHA: (ax1) implies:
% 11.88/2.42 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ (equal_points(v0, v1) = 0) | ~ $i(v1)
% 11.88/2.42 | | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & distinct_points(v0, v1) =
% 11.88/2.42 | v2))
% 11.88/2.42 |
% 11.88/2.42 | ALPHA: (ax2) implies:
% 11.88/2.42 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 11.88/2.42 | (equal_lines(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) |
% 11.88/2.42 | distinct_lines(v0, v1) = 0)
% 11.88/2.42 |
% 11.88/2.42 | ALPHA: (function-axioms) implies:
% 11.88/2.42 | (3) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 11.88/2.42 | ! [v3: $i] : (v1 = v0 | ~ (distinct_points(v3, v2) = v1) | ~
% 11.88/2.42 | (distinct_points(v3, v2) = v0))
% 11.88/2.42 | (4) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 11.88/2.42 | ! [v3: $i] : (v1 = v0 | ~ (apart_point_and_line(v3, v2) = v1) | ~
% 11.88/2.42 | (apart_point_and_line(v3, v2) = v0))
% 11.88/2.42 |
% 11.88/2.42 | DELTA: instantiating (con) with fresh symbols all_38_0, all_38_1, all_38_2,
% 11.88/2.42 | all_38_3, all_38_4, all_38_5, all_38_6 gives:
% 11.88/2.42 | (5) equal_lines(all_38_2, all_38_1) = all_38_0 & equal_points(all_38_5,
% 11.88/2.42 | all_38_4) = 0 & line_connecting(all_38_6, all_38_4) = all_38_1 &
% 11.88/2.42 | line_connecting(all_38_6, all_38_5) = all_38_2 &
% 11.88/2.42 | distinct_points(all_38_6, all_38_4) = all_38_3 &
% 11.88/2.42 | distinct_points(all_38_6, all_38_5) = 0 & $i(all_38_1) & $i(all_38_2) &
% 11.88/2.42 | $i(all_38_4) & $i(all_38_5) & $i(all_38_6) & ( ~ (all_38_0 = 0) | ~
% 12.24/2.42 | (all_38_3 = 0))
% 12.24/2.42 |
% 12.24/2.42 | ALPHA: (5) implies:
% 12.24/2.42 | (6) $i(all_38_6)
% 12.24/2.42 | (7) $i(all_38_5)
% 12.24/2.42 | (8) $i(all_38_4)
% 12.24/2.42 | (9) $i(all_38_2)
% 12.24/2.42 | (10) $i(all_38_1)
% 12.24/2.42 | (11) distinct_points(all_38_6, all_38_5) = 0
% 12.24/2.42 | (12) distinct_points(all_38_6, all_38_4) = all_38_3
% 12.24/2.42 | (13) line_connecting(all_38_6, all_38_5) = all_38_2
% 12.24/2.42 | (14) line_connecting(all_38_6, all_38_4) = all_38_1
% 12.24/2.42 | (15) equal_points(all_38_5, all_38_4) = 0
% 12.24/2.42 | (16) equal_lines(all_38_2, all_38_1) = all_38_0
% 12.24/2.42 | (17) ~ (all_38_0 = 0) | ~ (all_38_3 = 0)
% 12.24/2.42 |
% 12.24/2.43 | GROUND_INST: instantiating (apart4) with all_38_6, all_38_5, all_38_4,
% 12.24/2.43 | all_38_3, simplifying with (6), (7), (8), (11), (12) gives:
% 12.24/2.43 | (18) all_38_3 = 0 | distinct_points(all_38_5, all_38_4) = 0
% 12.24/2.43 |
% 12.24/2.43 | GROUND_INST: instantiating (con1) with all_38_6, all_38_5, all_38_2,
% 12.24/2.43 | simplifying with (6), (7), (13) gives:
% 12.24/2.43 | (19) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 12.24/2.43 | (point(all_38_5) = v1 & point(all_38_6) = v0 & line(all_38_2) = v3 &
% 12.24/2.43 | distinct_points(all_38_6, all_38_5) = v2 & ( ~ (v2 = 0) | ~ (v1 =
% 12.24/2.43 | 0) | ~ (v0 = 0) | v3 = 0))
% 12.24/2.43 |
% 12.24/2.43 | GROUND_INST: instantiating (con1) with all_38_6, all_38_4, all_38_1,
% 12.24/2.43 | simplifying with (6), (8), (14) gives:
% 12.24/2.43 | (20) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 12.24/2.43 | (point(all_38_4) = v1 & point(all_38_6) = v0 & line(all_38_1) = v3 &
% 12.24/2.43 | distinct_points(all_38_6, all_38_4) = v2 & ( ~ (v2 = 0) | ~ (v1 =
% 12.24/2.43 | 0) | ~ (v0 = 0) | v3 = 0))
% 12.24/2.43 |
% 12.24/2.43 | GROUND_INST: instantiating (1) with all_38_5, all_38_4, simplifying with (7),
% 12.24/2.43 | (8), (15) gives:
% 12.24/2.43 | (21) ? [v0: int] : ( ~ (v0 = 0) & distinct_points(all_38_5, all_38_4) =
% 12.24/2.43 | v0)
% 12.24/2.43 |
% 12.24/2.43 | GROUND_INST: instantiating (2) with all_38_2, all_38_1, all_38_0, simplifying
% 12.24/2.43 | with (9), (10), (16) gives:
% 12.24/2.43 | (22) all_38_0 = 0 | distinct_lines(all_38_2, all_38_1) = 0
% 12.24/2.43 |
% 12.24/2.43 | DELTA: instantiating (21) with fresh symbol all_45_0 gives:
% 12.24/2.43 | (23) ~ (all_45_0 = 0) & distinct_points(all_38_5, all_38_4) = all_45_0
% 12.24/2.43 |
% 12.24/2.43 | ALPHA: (23) implies:
% 12.24/2.43 | (24) ~ (all_45_0 = 0)
% 12.24/2.43 | (25) distinct_points(all_38_5, all_38_4) = all_45_0
% 12.24/2.43 |
% 12.24/2.43 | DELTA: instantiating (20) with fresh symbols all_47_0, all_47_1, all_47_2,
% 12.24/2.43 | all_47_3 gives:
% 12.24/2.43 | (26) point(all_38_4) = all_47_2 & point(all_38_6) = all_47_3 &
% 12.24/2.43 | line(all_38_1) = all_47_0 & distinct_points(all_38_6, all_38_4) =
% 12.24/2.43 | all_47_1 & ( ~ (all_47_1 = 0) | ~ (all_47_2 = 0) | ~ (all_47_3 = 0)
% 12.24/2.43 | | all_47_0 = 0)
% 12.24/2.43 |
% 12.24/2.43 | ALPHA: (26) implies:
% 12.24/2.43 | (27) distinct_points(all_38_6, all_38_4) = all_47_1
% 12.24/2.43 |
% 12.24/2.43 | DELTA: instantiating (19) with fresh symbols all_49_0, all_49_1, all_49_2,
% 12.24/2.43 | all_49_3 gives:
% 12.24/2.43 | (28) point(all_38_5) = all_49_2 & point(all_38_6) = all_49_3 &
% 12.24/2.43 | line(all_38_2) = all_49_0 & distinct_points(all_38_6, all_38_5) =
% 12.24/2.43 | all_49_1 & ( ~ (all_49_1 = 0) | ~ (all_49_2 = 0) | ~ (all_49_3 = 0)
% 12.24/2.43 | | all_49_0 = 0)
% 12.24/2.43 |
% 12.24/2.43 | ALPHA: (28) implies:
% 12.24/2.43 | (29) distinct_points(all_38_6, all_38_5) = all_49_1
% 12.24/2.43 |
% 12.24/2.43 | BETA: splitting (18) gives:
% 12.24/2.43 |
% 12.24/2.43 | Case 1:
% 12.24/2.43 | |
% 12.24/2.43 | | (30) distinct_points(all_38_5, all_38_4) = 0
% 12.24/2.43 | |
% 12.24/2.43 | | GROUND_INST: instantiating (3) with 0, all_45_0, all_38_4, all_38_5,
% 12.24/2.43 | | simplifying with (25), (30) gives:
% 12.24/2.43 | | (31) all_45_0 = 0
% 12.24/2.43 | |
% 12.24/2.43 | | REDUCE: (24), (31) imply:
% 12.24/2.43 | | (32) $false
% 12.24/2.44 | |
% 12.24/2.44 | | CLOSE: (32) is inconsistent.
% 12.24/2.44 | |
% 12.24/2.44 | Case 2:
% 12.24/2.44 | |
% 12.24/2.44 | | (33) all_38_3 = 0
% 12.24/2.44 | |
% 12.24/2.44 | | REDUCE: (12), (33) imply:
% 12.24/2.44 | | (34) distinct_points(all_38_6, all_38_4) = 0
% 12.24/2.44 | |
% 12.24/2.44 | | BETA: splitting (17) gives:
% 12.24/2.44 | |
% 12.24/2.44 | | Case 1:
% 12.24/2.44 | | |
% 12.24/2.44 | | | (35) ~ (all_38_0 = 0)
% 12.24/2.44 | | |
% 12.24/2.44 | | | BETA: splitting (22) gives:
% 12.24/2.44 | | |
% 12.24/2.44 | | | Case 1:
% 12.24/2.44 | | | |
% 12.24/2.44 | | | | (36) distinct_lines(all_38_2, all_38_1) = 0
% 12.24/2.44 | | | |
% 12.24/2.44 | | | | GROUND_INST: instantiating (3) with 0, all_49_1, all_38_5, all_38_6,
% 12.24/2.44 | | | | simplifying with (11), (29) gives:
% 12.24/2.44 | | | | (37) all_49_1 = 0
% 12.24/2.44 | | | |
% 12.24/2.44 | | | | GROUND_INST: instantiating (3) with 0, all_47_1, all_38_4, all_38_6,
% 12.24/2.44 | | | | simplifying with (27), (34) gives:
% 12.24/2.44 | | | | (38) all_47_1 = 0
% 12.24/2.44 | | | |
% 12.24/2.44 | | | | GROUND_INST: instantiating (cu1) with all_38_6, all_38_5, all_38_2,
% 12.24/2.44 | | | | all_38_1, simplifying with (6), (7), (9), (10), (11), (36)
% 12.24/2.44 | | | | gives:
% 12.24/2.44 | | | | (39) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 12.24/2.44 | | | | (apart_point_and_line(all_38_5, all_38_1) = v3 &
% 12.24/2.44 | | | | apart_point_and_line(all_38_5, all_38_2) = v2 &
% 12.24/2.44 | | | | apart_point_and_line(all_38_6, all_38_1) = v1 &
% 12.24/2.44 | | | | apart_point_and_line(all_38_6, all_38_2) = v0 & (v3 = 0 | v2 =
% 12.24/2.44 | | | | 0 | v1 = 0 | v0 = 0))
% 12.24/2.44 | | | |
% 12.24/2.44 | | | | GROUND_INST: instantiating (cu1) with all_38_6, all_38_4, all_38_2,
% 12.24/2.44 | | | | all_38_1, simplifying with (6), (8), (9), (10), (34), (36)
% 12.24/2.44 | | | | gives:
% 12.24/2.44 | | | | (40) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 12.24/2.44 | | | | (apart_point_and_line(all_38_4, all_38_1) = v3 &
% 12.24/2.44 | | | | apart_point_and_line(all_38_4, all_38_2) = v2 &
% 12.24/2.44 | | | | apart_point_and_line(all_38_6, all_38_1) = v1 &
% 12.24/2.44 | | | | apart_point_and_line(all_38_6, all_38_2) = v0 & (v3 = 0 | v2 =
% 12.24/2.44 | | | | 0 | v1 = 0 | v0 = 0))
% 12.24/2.44 | | | |
% 12.24/2.44 | | | | DELTA: instantiating (40) with fresh symbols all_73_0, all_73_1,
% 12.24/2.44 | | | | all_73_2, all_73_3 gives:
% 12.24/2.44 | | | | (41) apart_point_and_line(all_38_4, all_38_1) = all_73_0 &
% 12.24/2.44 | | | | apart_point_and_line(all_38_4, all_38_2) = all_73_1 &
% 12.24/2.44 | | | | apart_point_and_line(all_38_6, all_38_1) = all_73_2 &
% 12.24/2.44 | | | | apart_point_and_line(all_38_6, all_38_2) = all_73_3 & (all_73_0
% 12.24/2.44 | | | | = 0 | all_73_1 = 0 | all_73_2 = 0 | all_73_3 = 0)
% 12.24/2.44 | | | |
% 12.24/2.44 | | | | ALPHA: (41) implies:
% 12.24/2.44 | | | | (42) apart_point_and_line(all_38_6, all_38_2) = all_73_3
% 12.24/2.44 | | | | (43) apart_point_and_line(all_38_6, all_38_1) = all_73_2
% 12.24/2.44 | | | | (44) apart_point_and_line(all_38_4, all_38_1) = all_73_0
% 12.24/2.44 | | | | (45) all_73_0 = 0 | all_73_1 = 0 | all_73_2 = 0 | all_73_3 = 0
% 12.24/2.44 | | | |
% 12.24/2.44 | | | | DELTA: instantiating (39) with fresh symbols all_75_0, all_75_1,
% 12.24/2.44 | | | | all_75_2, all_75_3 gives:
% 12.24/2.44 | | | | (46) apart_point_and_line(all_38_5, all_38_1) = all_75_0 &
% 12.24/2.44 | | | | apart_point_and_line(all_38_5, all_38_2) = all_75_1 &
% 12.24/2.44 | | | | apart_point_and_line(all_38_6, all_38_1) = all_75_2 &
% 12.24/2.44 | | | | apart_point_and_line(all_38_6, all_38_2) = all_75_3 & (all_75_0
% 12.24/2.44 | | | | = 0 | all_75_1 = 0 | all_75_2 = 0 | all_75_3 = 0)
% 12.24/2.44 | | | |
% 12.24/2.44 | | | | ALPHA: (46) implies:
% 12.24/2.45 | | | | (47) apart_point_and_line(all_38_6, all_38_2) = all_75_3
% 12.24/2.45 | | | | (48) apart_point_and_line(all_38_6, all_38_1) = all_75_2
% 12.24/2.45 | | | | (49) apart_point_and_line(all_38_5, all_38_2) = all_75_1
% 12.24/2.45 | | | | (50) apart_point_and_line(all_38_5, all_38_1) = all_75_0
% 12.24/2.45 | | | | (51) all_75_0 = 0 | all_75_1 = 0 | all_75_2 = 0 | all_75_3 = 0
% 12.24/2.45 | | | |
% 12.24/2.45 | | | | GROUND_INST: instantiating (4) with all_73_3, all_75_3, all_38_2,
% 12.24/2.45 | | | | all_38_6, simplifying with (42), (47) gives:
% 12.24/2.45 | | | | (52) all_75_3 = all_73_3
% 12.24/2.45 | | | |
% 12.24/2.45 | | | | GROUND_INST: instantiating (4) with all_73_2, all_75_2, all_38_1,
% 12.24/2.45 | | | | all_38_6, simplifying with (43), (48) gives:
% 12.24/2.45 | | | | (53) all_75_2 = all_73_2
% 12.24/2.45 | | | |
% 12.24/2.45 | | | | BETA: splitting (45) gives:
% 12.24/2.45 | | | |
% 12.24/2.45 | | | | Case 1:
% 12.24/2.45 | | | | |
% 12.24/2.45 | | | | | (54) all_73_0 = 0
% 12.24/2.45 | | | | |
% 12.24/2.45 | | | | | REDUCE: (44), (54) imply:
% 12.24/2.45 | | | | | (55) apart_point_and_line(all_38_4, all_38_1) = 0
% 12.24/2.45 | | | | |
% 12.24/2.45 | | | | | GROUND_INST: instantiating (ci2) with all_38_6, all_38_4, all_38_1,
% 12.24/2.45 | | | | | simplifying with (6), (8), (14), (55) gives:
% 12.24/2.45 | | | | | (56) ? [v0: int] : ( ~ (v0 = 0) & distinct_points(all_38_6,
% 12.24/2.45 | | | | | all_38_4) = v0)
% 12.24/2.45 | | | | |
% 12.24/2.45 | | | | | DELTA: instantiating (56) with fresh symbol all_107_0 gives:
% 12.24/2.45 | | | | | (57) ~ (all_107_0 = 0) & distinct_points(all_38_6, all_38_4) =
% 12.24/2.45 | | | | | all_107_0
% 12.24/2.45 | | | | |
% 12.24/2.45 | | | | | ALPHA: (57) implies:
% 12.24/2.45 | | | | | (58) ~ (all_107_0 = 0)
% 12.24/2.45 | | | | | (59) distinct_points(all_38_6, all_38_4) = all_107_0
% 12.24/2.45 | | | | |
% 12.24/2.45 | | | | | GROUND_INST: instantiating (3) with 0, all_107_0, all_38_4, all_38_6,
% 12.24/2.45 | | | | | simplifying with (34), (59) gives:
% 12.24/2.45 | | | | | (60) all_107_0 = 0
% 12.24/2.45 | | | | |
% 12.24/2.45 | | | | | REDUCE: (58), (60) imply:
% 12.24/2.45 | | | | | (61) $false
% 12.24/2.45 | | | | |
% 12.24/2.45 | | | | | CLOSE: (61) is inconsistent.
% 12.24/2.45 | | | | |
% 12.24/2.45 | | | | Case 2:
% 12.24/2.45 | | | | |
% 12.24/2.45 | | | | | (62) ~ (all_73_0 = 0)
% 12.24/2.45 | | | | |
% 12.24/2.45 | | | | | BETA: splitting (51) gives:
% 12.24/2.45 | | | | |
% 12.24/2.45 | | | | | Case 1:
% 12.24/2.45 | | | | | |
% 12.24/2.45 | | | | | | (63) all_75_0 = 0
% 12.24/2.45 | | | | | |
% 12.24/2.45 | | | | | | REDUCE: (50), (63) imply:
% 12.24/2.45 | | | | | | (64) apart_point_and_line(all_38_5, all_38_1) = 0
% 12.24/2.45 | | | | | |
% 12.24/2.45 | | | | | | GROUND_INST: instantiating (ceq1) with all_38_5, all_38_1, all_38_4,
% 12.24/2.45 | | | | | | all_45_0, simplifying with (7), (8), (10), (25), (64)
% 12.24/2.45 | | | | | | gives:
% 12.24/2.45 | | | | | | (65) all_45_0 = 0 | apart_point_and_line(all_38_4, all_38_1) = 0
% 12.24/2.45 | | | | | |
% 12.24/2.45 | | | | | | BETA: splitting (65) gives:
% 12.24/2.45 | | | | | |
% 12.24/2.45 | | | | | | Case 1:
% 12.24/2.45 | | | | | | |
% 12.24/2.45 | | | | | | | (66) apart_point_and_line(all_38_4, all_38_1) = 0
% 12.24/2.45 | | | | | | |
% 12.24/2.45 | | | | | | | GROUND_INST: instantiating (4) with all_73_0, 0, all_38_1,
% 12.24/2.45 | | | | | | | all_38_4, simplifying with (44), (66) gives:
% 12.24/2.45 | | | | | | | (67) all_73_0 = 0
% 12.24/2.45 | | | | | | |
% 12.24/2.45 | | | | | | | REDUCE: (62), (67) imply:
% 12.24/2.45 | | | | | | | (68) $false
% 12.24/2.45 | | | | | | |
% 12.24/2.45 | | | | | | | CLOSE: (68) is inconsistent.
% 12.24/2.45 | | | | | | |
% 12.24/2.45 | | | | | | Case 2:
% 12.24/2.45 | | | | | | |
% 12.24/2.45 | | | | | | | (69) all_45_0 = 0
% 12.24/2.45 | | | | | | |
% 12.24/2.45 | | | | | | | REDUCE: (24), (69) imply:
% 12.24/2.45 | | | | | | | (70) $false
% 12.24/2.45 | | | | | | |
% 12.24/2.45 | | | | | | | CLOSE: (70) is inconsistent.
% 12.24/2.45 | | | | | | |
% 12.24/2.45 | | | | | | End of split
% 12.24/2.45 | | | | | |
% 12.24/2.45 | | | | | Case 2:
% 12.24/2.45 | | | | | |
% 12.24/2.45 | | | | | | (71) all_75_1 = 0 | all_75_2 = 0 | all_75_3 = 0
% 12.24/2.45 | | | | | |
% 12.24/2.45 | | | | | | BETA: splitting (71) gives:
% 12.24/2.45 | | | | | |
% 12.24/2.45 | | | | | | Case 1:
% 12.24/2.45 | | | | | | |
% 12.24/2.45 | | | | | | | (72) all_75_1 = 0
% 12.24/2.45 | | | | | | |
% 12.24/2.45 | | | | | | | REDUCE: (49), (72) imply:
% 12.24/2.45 | | | | | | | (73) apart_point_and_line(all_38_5, all_38_2) = 0
% 12.24/2.45 | | | | | | |
% 12.24/2.46 | | | | | | | GROUND_INST: instantiating (ci2) with all_38_6, all_38_5,
% 12.24/2.46 | | | | | | | all_38_2, simplifying with (6), (7), (13), (73)
% 12.24/2.46 | | | | | | | gives:
% 12.24/2.46 | | | | | | | (74) ? [v0: int] : ( ~ (v0 = 0) & distinct_points(all_38_6,
% 12.24/2.46 | | | | | | | all_38_5) = v0)
% 12.24/2.46 | | | | | | |
% 12.24/2.46 | | | | | | | DELTA: instantiating (74) with fresh symbol all_142_0 gives:
% 12.24/2.46 | | | | | | | (75) ~ (all_142_0 = 0) & distinct_points(all_38_6, all_38_5) =
% 12.24/2.46 | | | | | | | all_142_0
% 12.24/2.46 | | | | | | |
% 12.24/2.46 | | | | | | | ALPHA: (75) implies:
% 12.24/2.46 | | | | | | | (76) ~ (all_142_0 = 0)
% 12.24/2.46 | | | | | | | (77) distinct_points(all_38_6, all_38_5) = all_142_0
% 12.24/2.46 | | | | | | |
% 12.24/2.46 | | | | | | | GROUND_INST: instantiating (3) with 0, all_142_0, all_38_5,
% 12.24/2.46 | | | | | | | all_38_6, simplifying with (11), (77) gives:
% 12.24/2.46 | | | | | | | (78) all_142_0 = 0
% 12.24/2.46 | | | | | | |
% 12.24/2.46 | | | | | | | REDUCE: (76), (78) imply:
% 12.24/2.46 | | | | | | | (79) $false
% 12.24/2.46 | | | | | | |
% 12.24/2.46 | | | | | | | CLOSE: (79) is inconsistent.
% 12.24/2.46 | | | | | | |
% 12.24/2.46 | | | | | | Case 2:
% 12.24/2.46 | | | | | | |
% 12.24/2.46 | | | | | | | (80) all_75_2 = 0 | all_75_3 = 0
% 12.24/2.46 | | | | | | |
% 12.24/2.46 | | | | | | | BETA: splitting (80) gives:
% 12.24/2.46 | | | | | | |
% 12.24/2.46 | | | | | | | Case 1:
% 12.24/2.46 | | | | | | | |
% 12.24/2.46 | | | | | | | | (81) all_75_2 = 0
% 12.24/2.46 | | | | | | | |
% 12.24/2.46 | | | | | | | | COMBINE_EQS: (53), (81) imply:
% 12.24/2.46 | | | | | | | | (82) all_73_2 = 0
% 12.24/2.46 | | | | | | | |
% 12.24/2.46 | | | | | | | | REDUCE: (43), (82) imply:
% 12.24/2.46 | | | | | | | | (83) apart_point_and_line(all_38_6, all_38_1) = 0
% 12.24/2.46 | | | | | | | |
% 12.24/2.46 | | | | | | | | GROUND_INST: instantiating (ci1) with all_38_6, all_38_4,
% 12.24/2.46 | | | | | | | | all_38_1, simplifying with (6), (8), (14), (83)
% 12.24/2.46 | | | | | | | | gives:
% 12.24/2.46 | | | | | | | | (84) ? [v0: int] : ( ~ (v0 = 0) & distinct_points(all_38_6,
% 12.24/2.46 | | | | | | | | all_38_4) = v0)
% 12.24/2.46 | | | | | | | |
% 12.24/2.46 | | | | | | | | DELTA: instantiating (84) with fresh symbol all_156_0 gives:
% 12.24/2.46 | | | | | | | | (85) ~ (all_156_0 = 0) & distinct_points(all_38_6, all_38_4)
% 12.24/2.46 | | | | | | | | = all_156_0
% 12.24/2.46 | | | | | | | |
% 12.24/2.46 | | | | | | | | ALPHA: (85) implies:
% 12.24/2.46 | | | | | | | | (86) ~ (all_156_0 = 0)
% 12.24/2.46 | | | | | | | | (87) distinct_points(all_38_6, all_38_4) = all_156_0
% 12.24/2.46 | | | | | | | |
% 12.24/2.46 | | | | | | | | GROUND_INST: instantiating (3) with 0, all_156_0, all_38_4,
% 12.24/2.46 | | | | | | | | all_38_6, simplifying with (34), (87) gives:
% 12.24/2.46 | | | | | | | | (88) all_156_0 = 0
% 12.24/2.46 | | | | | | | |
% 12.24/2.46 | | | | | | | | REDUCE: (86), (88) imply:
% 12.24/2.46 | | | | | | | | (89) $false
% 12.24/2.46 | | | | | | | |
% 12.24/2.46 | | | | | | | | CLOSE: (89) is inconsistent.
% 12.24/2.46 | | | | | | | |
% 12.24/2.46 | | | | | | | Case 2:
% 12.24/2.46 | | | | | | | |
% 12.24/2.46 | | | | | | | | (90) all_75_3 = 0
% 12.24/2.46 | | | | | | | |
% 12.24/2.46 | | | | | | | | COMBINE_EQS: (52), (90) imply:
% 12.24/2.46 | | | | | | | | (91) all_73_3 = 0
% 12.24/2.46 | | | | | | | |
% 12.24/2.46 | | | | | | | | SIMP: (91) implies:
% 12.24/2.46 | | | | | | | | (92) all_73_3 = 0
% 12.24/2.46 | | | | | | | |
% 12.24/2.46 | | | | | | | | REDUCE: (42), (92) imply:
% 12.24/2.46 | | | | | | | | (93) apart_point_and_line(all_38_6, all_38_2) = 0
% 12.24/2.46 | | | | | | | |
% 12.24/2.46 | | | | | | | | GROUND_INST: instantiating (ci1) with all_38_6, all_38_5,
% 12.24/2.46 | | | | | | | | all_38_2, simplifying with (6), (7), (13), (93)
% 12.24/2.46 | | | | | | | | gives:
% 12.24/2.46 | | | | | | | | (94) ? [v0: int] : ( ~ (v0 = 0) & distinct_points(all_38_6,
% 12.24/2.46 | | | | | | | | all_38_5) = v0)
% 12.24/2.46 | | | | | | | |
% 12.24/2.46 | | | | | | | | DELTA: instantiating (94) with fresh symbol all_156_0 gives:
% 12.24/2.46 | | | | | | | | (95) ~ (all_156_0 = 0) & distinct_points(all_38_6, all_38_5)
% 12.24/2.46 | | | | | | | | = all_156_0
% 12.24/2.46 | | | | | | | |
% 12.24/2.46 | | | | | | | | ALPHA: (95) implies:
% 12.24/2.46 | | | | | | | | (96) ~ (all_156_0 = 0)
% 12.24/2.46 | | | | | | | | (97) distinct_points(all_38_6, all_38_5) = all_156_0
% 12.24/2.46 | | | | | | | |
% 12.24/2.47 | | | | | | | | GROUND_INST: instantiating (3) with 0, all_156_0, all_38_5,
% 12.24/2.47 | | | | | | | | all_38_6, simplifying with (11), (97) gives:
% 12.24/2.47 | | | | | | | | (98) all_156_0 = 0
% 12.24/2.47 | | | | | | | |
% 12.24/2.47 | | | | | | | | REDUCE: (96), (98) imply:
% 12.24/2.47 | | | | | | | | (99) $false
% 12.24/2.47 | | | | | | | |
% 12.24/2.47 | | | | | | | | CLOSE: (99) is inconsistent.
% 12.24/2.47 | | | | | | | |
% 12.24/2.47 | | | | | | | End of split
% 12.24/2.47 | | | | | | |
% 12.24/2.47 | | | | | | End of split
% 12.24/2.47 | | | | | |
% 12.24/2.47 | | | | | End of split
% 12.24/2.47 | | | | |
% 12.24/2.47 | | | | End of split
% 12.24/2.47 | | | |
% 12.24/2.47 | | | Case 2:
% 12.24/2.47 | | | |
% 12.24/2.47 | | | | (100) all_38_0 = 0
% 12.24/2.47 | | | |
% 12.24/2.47 | | | | REDUCE: (35), (100) imply:
% 12.24/2.47 | | | | (101) $false
% 12.24/2.47 | | | |
% 12.24/2.47 | | | | CLOSE: (101) is inconsistent.
% 12.24/2.47 | | | |
% 12.24/2.47 | | | End of split
% 12.24/2.47 | | |
% 12.24/2.47 | | Case 2:
% 12.24/2.47 | | |
% 12.24/2.47 | | | (102) ~ (all_38_3 = 0)
% 12.24/2.47 | | |
% 12.24/2.47 | | | REDUCE: (33), (102) imply:
% 12.24/2.47 | | | (103) $false
% 12.24/2.47 | | |
% 12.24/2.47 | | | CLOSE: (103) is inconsistent.
% 12.24/2.47 | | |
% 12.24/2.47 | | End of split
% 12.24/2.47 | |
% 12.24/2.47 | End of split
% 12.24/2.47 |
% 12.24/2.47 End of proof
% 12.24/2.47 % SZS output end Proof for theBenchmark
% 12.24/2.47
% 12.24/2.47 1854ms
%------------------------------------------------------------------------------