TSTP Solution File: GEO237+3 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : GEO237+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 : n018.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 23:22:39 EDT 2023
% Result : Theorem 8.92s 1.92s
% Output : Proof 13.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO237+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n018.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 23:23:18 EDT 2023
% 0.20/0.35 % CPUTime :
% 0.21/0.61 ________ _____
% 0.21/0.61 ___ __ \_________(_)________________________________
% 0.21/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.21/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.21/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.21/0.61
% 0.21/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.21/0.61 (2023-06-19)
% 0.21/0.61
% 0.21/0.61 (c) Philipp Rümmer, 2009-2023
% 0.21/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.21/0.61 Amanda Stjerna.
% 0.21/0.61 Free software under BSD-3-Clause.
% 0.21/0.61
% 0.21/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.21/0.61
% 0.21/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.21/0.63 Running up to 7 provers in parallel.
% 0.21/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.21/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.21/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.21/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.21/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.21/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.21/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.48/1.23 Prover 4: Preprocessing ...
% 3.48/1.24 Prover 1: Preprocessing ...
% 3.48/1.27 Prover 0: Preprocessing ...
% 3.48/1.27 Prover 2: Preprocessing ...
% 3.48/1.27 Prover 3: Preprocessing ...
% 3.48/1.27 Prover 6: Preprocessing ...
% 3.48/1.27 Prover 5: Preprocessing ...
% 6.94/1.67 Prover 5: Proving ...
% 7.68/1.73 Prover 2: Proving ...
% 7.68/1.76 Prover 3: Constructing countermodel ...
% 7.68/1.77 Prover 6: Constructing countermodel ...
% 8.27/1.84 Prover 1: Constructing countermodel ...
% 8.92/1.92 Prover 5: proved (1279ms)
% 8.92/1.92
% 8.92/1.92 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.92/1.92
% 8.92/1.92 Prover 3: stopped
% 8.92/1.94 Prover 6: stopped
% 8.92/1.95 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 8.92/1.95 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 8.92/1.95 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 8.92/1.95 Prover 2: stopped
% 8.92/1.95 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 9.94/2.03 Prover 8: Preprocessing ...
% 9.94/2.03 Prover 10: Preprocessing ...
% 9.94/2.04 Prover 7: Preprocessing ...
% 9.94/2.04 Prover 11: Preprocessing ...
% 10.57/2.15 Prover 7: Warning: ignoring some quantifiers
% 10.57/2.15 Prover 10: Warning: ignoring some quantifiers
% 10.57/2.18 Prover 7: Constructing countermodel ...
% 10.57/2.18 Prover 10: Constructing countermodel ...
% 11.14/2.18 Prover 0: Proving ...
% 11.14/2.20 Prover 0: stopped
% 11.14/2.22 Prover 4: Constructing countermodel ...
% 11.14/2.22 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 11.14/2.23 Prover 1: Found proof (size 79)
% 11.14/2.24 Prover 1: proved (1598ms)
% 11.14/2.24 Prover 7: stopped
% 11.14/2.24 Prover 10: stopped
% 11.14/2.24 Prover 4: stopped
% 11.14/2.25 Prover 13: Preprocessing ...
% 11.80/2.28 Prover 13: stopped
% 11.90/2.29 Prover 8: Warning: ignoring some quantifiers
% 11.90/2.30 Prover 8: Constructing countermodel ...
% 11.90/2.31 Prover 8: stopped
% 12.12/2.44 Prover 11: Constructing countermodel ...
% 12.12/2.46 Prover 11: stopped
% 12.12/2.46
% 12.12/2.46 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.12/2.46
% 12.57/2.46 % SZS output start Proof for theBenchmark
% 12.57/2.47 Assumptions after simplification:
% 12.57/2.47 ---------------------------------
% 12.57/2.47
% 12.57/2.47 (a6_defns)
% 12.57/2.49 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (right_apart_point(v0,
% 12.57/2.49 v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] :
% 12.57/2.49 (apart_point_and_line(v0, v1) = v3 & left_apart_point(v0, v1) = v4 & ( ~ (v3
% 12.57/2.49 = 0) | v4 = 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ( ~
% 12.57/2.50 (right_apart_point(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ?
% 12.57/2.50 [v4: any] : (apart_point_and_line(v0, v1) = v4 & left_apart_point(v0, v1) =
% 12.57/2.50 v3 & (v4 = 0 | ( ~ (v3 = 0) & ~ (v2 = 0)))))
% 12.57/2.50
% 12.57/2.50 (a8_defns)
% 12.57/2.50 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 12.57/2.50 (divides_points(v2, v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 12.57/2.50 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 12.57/2.50 (left_apart_point(v1, v2) = v7 & left_apart_point(v0, v2) = v4 &
% 12.57/2.50 right_apart_point(v1, v2) = v5 & right_apart_point(v0, v2) = v6 & ( ~ (v7
% 12.57/2.50 = 0) | ~ (v6 = 0)) & ( ~ (v5 = 0) | ~ (v4 = 0)))) & ! [v0: $i] : !
% 12.57/2.50 [v1: $i] : ! [v2: $i] : ( ~ (divides_points(v2, v0, v1) = 0) | ~ $i(v2) | ~
% 12.57/2.50 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6:
% 12.57/2.50 any] : (left_apart_point(v1, v2) = v6 & left_apart_point(v0, v2) = v3 &
% 12.57/2.50 right_apart_point(v1, v2) = v4 & right_apart_point(v0, v2) = v5 & ((v6 = 0
% 12.57/2.50 & v5 = 0) | (v4 = 0 & v3 = 0))))
% 12.57/2.50
% 12.57/2.50 (con)
% 12.57/2.50 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: int] : ? [v5:
% 12.57/2.50 int] : ( ~ (v5 = 0) & ~ (v4 = 0) & divides_points(v3, v1, v2) = v5 &
% 12.57/2.50 divides_points(v3, v0, v2) = v4 & divides_points(v3, v0, v1) = 0 &
% 12.57/2.50 apart_point_and_line(v2, v3) = 0 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 12.57/2.50
% 12.57/2.50 (function-axioms)
% 12.57/2.51 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 12.57/2.51 [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v1 = v0 | ~ (between_on_line(v5, v4,
% 12.57/2.51 v3, v2) = v1) | ~ (between_on_line(v5, v4, v3, v2) = v0)) & ! [v0:
% 12.57/2.51 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 12.57/2.51 : ! [v4: $i] : (v1 = v0 | ~ (before_on_line(v4, v3, v2) = v1) | ~
% 12.57/2.51 (before_on_line(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 12.57/2.51 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 12.57/2.51 (divides_points(v4, v3, v2) = v1) | ~ (divides_points(v4, v3, v2) = v0)) &
% 12.57/2.51 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 12.57/2.51 (parallel_through_point(v3, v2) = v1) | ~ (parallel_through_point(v3, v2) =
% 12.57/2.51 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 |
% 12.57/2.51 ~ (intersection_point(v3, v2) = v1) | ~ (intersection_point(v3, v2) = v0))
% 12.57/2.51 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 12.57/2.51 [v3: $i] : (v1 = v0 | ~ (distinct_lines(v3, v2) = v1) | ~
% 12.57/2.51 (distinct_lines(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 12.57/2.51 ! [v3: $i] : (v1 = v0 | ~ (line_connecting(v3, v2) = v1) | ~
% 12.57/2.52 (line_connecting(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 12.57/2.52 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 12.57/2.52 (distinct_points(v3, v2) = v1) | ~ (distinct_points(v3, v2) = v0)) & !
% 12.57/2.52 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 12.57/2.52 $i] : (v1 = v0 | ~ (incident_point_and_line(v3, v2) = v1) | ~
% 12.57/2.52 (incident_point_and_line(v3, v2) = v0)) & ! [v0: MultipleValueBool] : !
% 12.57/2.52 [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 12.57/2.52 (convergent_lines(v3, v2) = v1) | ~ (convergent_lines(v3, v2) = v0)) & !
% 12.57/2.52 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 12.57/2.52 $i] : (v1 = v0 | ~ (apart_point_and_line(v3, v2) = v1) | ~
% 12.57/2.52 (apart_point_and_line(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 12.57/2.52 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 12.57/2.52 (equally_directed_opposite_lines(v3, v2) = v1) | ~
% 12.57/2.52 (equally_directed_opposite_lines(v3, v2) = v0)) & ! [v0: MultipleValueBool]
% 12.57/2.52 : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 12.57/2.52 (equally_directed_lines(v3, v2) = v1) | ~ (equally_directed_lines(v3, v2) =
% 12.57/2.52 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 12.57/2.52 $i] : ! [v3: $i] : (v1 = v0 | ~ (left_convergent_lines(v3, v2) = v1) | ~
% 12.57/2.52 (left_convergent_lines(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 12.57/2.52 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 12.57/2.52 (right_convergent_lines(v3, v2) = v1) | ~ (right_convergent_lines(v3, v2) =
% 12.57/2.52 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 12.57/2.52 $i] : ! [v3: $i] : (v1 = v0 | ~ (left_apart_point(v3, v2) = v1) | ~
% 12.57/2.52 (left_apart_point(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 12.57/2.52 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 12.57/2.52 (right_apart_point(v3, v2) = v1) | ~ (right_apart_point(v3, v2) = v0)) & !
% 12.57/2.52 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 12.57/2.52 $i] : (v1 = v0 | ~ (unequally_directed_lines(v3, v2) = v1) | ~
% 12.57/2.52 (unequally_directed_lines(v3, v2) = v0)) & ! [v0: MultipleValueBool] : !
% 12.57/2.52 [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 12.57/2.52 (unequally_directed_opposite_lines(v3, v2) = v1) | ~
% 12.57/2.52 (unequally_directed_opposite_lines(v3, v2) = v0)) & ! [v0:
% 12.57/2.52 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 12.57/2.52 ~ (point(v2) = v1) | ~ (point(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 12.57/2.52 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (line(v2) = v1) | ~
% 12.57/2.52 (line(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 12.57/2.52 (reverse_line(v2) = v1) | ~ (reverse_line(v2) = v0))
% 12.57/2.52
% 12.57/2.52 Further assumptions not needed in the proof:
% 12.57/2.52 --------------------------------------------
% 12.57/2.52 a1_defns, a2_defns, a3_defns, a4_defns, a5_defns, a7_defns, a9_defns,
% 12.57/2.52 ax10_basics, ax10_cons_objs, ax11_basics, ax1_basics, ax1_cons_objs, ax1_subs,
% 12.57/2.52 ax1_uniq_cons, ax2_basics, ax2_cons_objs, ax2_subs, ax2_uniq_cons, ax3_basics,
% 12.57/2.52 ax3_cons_objs, ax3_subs, ax4_basics, ax4_cons_objs, ax4_defns, ax5_basics,
% 12.57/2.52 ax5_cons_objs, ax6_basics, ax6_cons_objs, ax7_basics, ax7_cons_objs, ax8_basics,
% 12.57/2.52 ax8_cons_objs, ax9_basics, ax9_cons_objs
% 12.57/2.52
% 12.57/2.52 Those formulas are unsatisfiable:
% 12.57/2.52 ---------------------------------
% 12.57/2.52
% 12.57/2.52 Begin of proof
% 12.57/2.52 |
% 12.57/2.52 | ALPHA: (a6_defns) implies:
% 12.57/2.52 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 12.57/2.52 | (right_apart_point(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3:
% 12.57/2.52 | any] : ? [v4: any] : (apart_point_and_line(v0, v1) = v3 &
% 12.57/2.52 | left_apart_point(v0, v1) = v4 & ( ~ (v3 = 0) | v4 = 0)))
% 12.57/2.52 |
% 12.57/2.52 | ALPHA: (a8_defns) implies:
% 12.57/2.52 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (divides_points(v2, v0,
% 12.57/2.52 | v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ?
% 12.57/2.52 | [v4: any] : ? [v5: any] : ? [v6: any] : (left_apart_point(v1, v2) =
% 12.57/2.52 | v6 & left_apart_point(v0, v2) = v3 & right_apart_point(v1, v2) = v4
% 12.57/2.52 | & right_apart_point(v0, v2) = v5 & ((v6 = 0 & v5 = 0) | (v4 = 0 &
% 12.57/2.52 | v3 = 0))))
% 12.57/2.52 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 12.57/2.52 | (divides_points(v2, v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0)
% 12.57/2.52 | | ? [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 12.57/2.52 | (left_apart_point(v1, v2) = v7 & left_apart_point(v0, v2) = v4 &
% 12.57/2.52 | right_apart_point(v1, v2) = v5 & right_apart_point(v0, v2) = v6 & (
% 12.57/2.52 | ~ (v7 = 0) | ~ (v6 = 0)) & ( ~ (v5 = 0) | ~ (v4 = 0))))
% 12.57/2.52 |
% 12.57/2.52 | ALPHA: (function-axioms) implies:
% 12.57/2.52 | (4) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 12.57/2.52 | ! [v3: $i] : (v1 = v0 | ~ (right_apart_point(v3, v2) = v1) | ~
% 12.57/2.52 | (right_apart_point(v3, v2) = v0))
% 12.57/2.52 | (5) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 12.57/2.52 | ! [v3: $i] : (v1 = v0 | ~ (left_apart_point(v3, v2) = v1) | ~
% 12.57/2.52 | (left_apart_point(v3, v2) = v0))
% 12.57/2.53 | (6) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 12.57/2.53 | ! [v3: $i] : (v1 = v0 | ~ (apart_point_and_line(v3, v2) = v1) | ~
% 12.57/2.53 | (apart_point_and_line(v3, v2) = v0))
% 12.57/2.53 |
% 12.57/2.53 | DELTA: instantiating (con) with fresh symbols all_39_0, all_39_1, all_39_2,
% 12.57/2.53 | all_39_3, all_39_4, all_39_5 gives:
% 12.57/2.53 | (7) ~ (all_39_0 = 0) & ~ (all_39_1 = 0) & divides_points(all_39_2,
% 12.57/2.53 | all_39_4, all_39_3) = all_39_0 & divides_points(all_39_2, all_39_5,
% 12.57/2.53 | all_39_3) = all_39_1 & divides_points(all_39_2, all_39_5, all_39_4) =
% 12.57/2.53 | 0 & apart_point_and_line(all_39_3, all_39_2) = 0 & $i(all_39_2) &
% 12.57/2.53 | $i(all_39_3) & $i(all_39_4) & $i(all_39_5)
% 12.57/2.53 |
% 12.57/2.53 | ALPHA: (7) implies:
% 12.57/2.53 | (8) ~ (all_39_1 = 0)
% 12.57/2.53 | (9) ~ (all_39_0 = 0)
% 12.57/2.53 | (10) $i(all_39_5)
% 12.57/2.53 | (11) $i(all_39_4)
% 12.57/2.53 | (12) $i(all_39_3)
% 12.57/2.53 | (13) $i(all_39_2)
% 12.57/2.53 | (14) apart_point_and_line(all_39_3, all_39_2) = 0
% 12.57/2.53 | (15) divides_points(all_39_2, all_39_5, all_39_4) = 0
% 12.57/2.53 | (16) divides_points(all_39_2, all_39_5, all_39_3) = all_39_1
% 12.57/2.53 | (17) divides_points(all_39_2, all_39_4, all_39_3) = all_39_0
% 12.57/2.53 |
% 12.57/2.53 | GROUND_INST: instantiating (2) with all_39_5, all_39_4, all_39_2, simplifying
% 12.57/2.53 | with (10), (11), (13), (15) gives:
% 12.57/2.53 | (18) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 12.57/2.53 | (left_apart_point(all_39_4, all_39_2) = v3 &
% 12.57/2.53 | left_apart_point(all_39_5, all_39_2) = v0 &
% 12.57/2.53 | right_apart_point(all_39_4, all_39_2) = v1 &
% 12.57/2.53 | right_apart_point(all_39_5, all_39_2) = v2 & ((v3 = 0 & v2 = 0) |
% 12.57/2.53 | (v1 = 0 & v0 = 0)))
% 12.57/2.53 |
% 12.57/2.53 | GROUND_INST: instantiating (3) with all_39_5, all_39_3, all_39_2, all_39_1,
% 12.57/2.53 | simplifying with (10), (12), (13), (16) gives:
% 12.57/2.53 | (19) all_39_1 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3:
% 12.57/2.53 | any] : (left_apart_point(all_39_3, all_39_2) = v3 &
% 12.57/2.53 | left_apart_point(all_39_5, all_39_2) = v0 &
% 12.57/2.53 | right_apart_point(all_39_3, all_39_2) = v1 &
% 12.57/2.53 | right_apart_point(all_39_5, all_39_2) = v2 & ( ~ (v3 = 0) | ~ (v2 =
% 12.57/2.53 | 0)) & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 12.57/2.53 |
% 12.57/2.53 | GROUND_INST: instantiating (3) with all_39_4, all_39_3, all_39_2, all_39_0,
% 12.57/2.53 | simplifying with (11), (12), (13), (17) gives:
% 12.57/2.53 | (20) all_39_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3:
% 12.57/2.53 | any] : (left_apart_point(all_39_3, all_39_2) = v3 &
% 12.57/2.53 | left_apart_point(all_39_4, all_39_2) = v0 &
% 12.57/2.53 | right_apart_point(all_39_3, all_39_2) = v1 &
% 12.57/2.53 | right_apart_point(all_39_4, all_39_2) = v2 & ( ~ (v3 = 0) | ~ (v2 =
% 12.57/2.53 | 0)) & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 12.57/2.53 |
% 12.57/2.53 | DELTA: instantiating (18) with fresh symbols all_46_0, all_46_1, all_46_2,
% 12.57/2.53 | all_46_3 gives:
% 12.57/2.54 | (21) left_apart_point(all_39_4, all_39_2) = all_46_0 &
% 12.57/2.54 | left_apart_point(all_39_5, all_39_2) = all_46_3 &
% 12.57/2.54 | right_apart_point(all_39_4, all_39_2) = all_46_2 &
% 12.57/2.54 | right_apart_point(all_39_5, all_39_2) = all_46_1 & ((all_46_0 = 0 &
% 12.57/2.54 | all_46_1 = 0) | (all_46_2 = 0 & all_46_3 = 0))
% 12.57/2.54 |
% 12.57/2.54 | ALPHA: (21) implies:
% 12.57/2.54 | (22) right_apart_point(all_39_5, all_39_2) = all_46_1
% 12.57/2.54 | (23) right_apart_point(all_39_4, all_39_2) = all_46_2
% 12.57/2.54 | (24) left_apart_point(all_39_5, all_39_2) = all_46_3
% 12.57/2.54 | (25) left_apart_point(all_39_4, all_39_2) = all_46_0
% 12.57/2.54 | (26) (all_46_0 = 0 & all_46_1 = 0) | (all_46_2 = 0 & all_46_3 = 0)
% 12.57/2.54 |
% 12.57/2.54 | BETA: splitting (20) gives:
% 12.57/2.54 |
% 12.57/2.54 | Case 1:
% 12.57/2.54 | |
% 13.16/2.54 | | (27) all_39_0 = 0
% 13.16/2.54 | |
% 13.16/2.54 | | REDUCE: (9), (27) imply:
% 13.16/2.54 | | (28) $false
% 13.16/2.54 | |
% 13.16/2.54 | | CLOSE: (28) is inconsistent.
% 13.16/2.54 | |
% 13.16/2.54 | Case 2:
% 13.16/2.54 | |
% 13.16/2.54 | | (29) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 13.16/2.54 | | (left_apart_point(all_39_3, all_39_2) = v3 &
% 13.16/2.54 | | left_apart_point(all_39_4, all_39_2) = v0 &
% 13.16/2.54 | | right_apart_point(all_39_3, all_39_2) = v1 &
% 13.16/2.54 | | right_apart_point(all_39_4, all_39_2) = v2 & ( ~ (v3 = 0) | ~ (v2
% 13.16/2.54 | | = 0)) & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 13.16/2.54 | |
% 13.16/2.54 | | DELTA: instantiating (29) with fresh symbols all_52_0, all_52_1, all_52_2,
% 13.16/2.54 | | all_52_3 gives:
% 13.16/2.54 | | (30) left_apart_point(all_39_3, all_39_2) = all_52_0 &
% 13.16/2.54 | | left_apart_point(all_39_4, all_39_2) = all_52_3 &
% 13.16/2.54 | | right_apart_point(all_39_3, all_39_2) = all_52_2 &
% 13.16/2.54 | | right_apart_point(all_39_4, all_39_2) = all_52_1 & ( ~ (all_52_0 =
% 13.16/2.54 | | 0) | ~ (all_52_1 = 0)) & ( ~ (all_52_2 = 0) | ~ (all_52_3 =
% 13.16/2.54 | | 0))
% 13.16/2.54 | |
% 13.16/2.54 | | ALPHA: (30) implies:
% 13.16/2.54 | | (31) right_apart_point(all_39_4, all_39_2) = all_52_1
% 13.16/2.54 | | (32) right_apart_point(all_39_3, all_39_2) = all_52_2
% 13.16/2.54 | | (33) left_apart_point(all_39_4, all_39_2) = all_52_3
% 13.16/2.54 | | (34) left_apart_point(all_39_3, all_39_2) = all_52_0
% 13.16/2.54 | | (35) ~ (all_52_2 = 0) | ~ (all_52_3 = 0)
% 13.16/2.54 | | (36) ~ (all_52_0 = 0) | ~ (all_52_1 = 0)
% 13.16/2.54 | |
% 13.16/2.54 | | BETA: splitting (19) gives:
% 13.16/2.54 | |
% 13.16/2.54 | | Case 1:
% 13.16/2.54 | | |
% 13.16/2.54 | | | (37) all_39_1 = 0
% 13.16/2.54 | | |
% 13.16/2.54 | | | REDUCE: (8), (37) imply:
% 13.16/2.54 | | | (38) $false
% 13.16/2.54 | | |
% 13.16/2.54 | | | CLOSE: (38) is inconsistent.
% 13.16/2.54 | | |
% 13.16/2.54 | | Case 2:
% 13.16/2.54 | | |
% 13.16/2.54 | | | (39) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 13.16/2.54 | | | (left_apart_point(all_39_3, all_39_2) = v3 &
% 13.16/2.54 | | | left_apart_point(all_39_5, all_39_2) = v0 &
% 13.16/2.54 | | | right_apart_point(all_39_3, all_39_2) = v1 &
% 13.16/2.54 | | | right_apart_point(all_39_5, all_39_2) = v2 & ( ~ (v3 = 0) | ~
% 13.16/2.54 | | | (v2 = 0)) & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 13.16/2.54 | | |
% 13.16/2.54 | | | DELTA: instantiating (39) with fresh symbols all_57_0, all_57_1, all_57_2,
% 13.16/2.54 | | | all_57_3 gives:
% 13.16/2.54 | | | (40) left_apart_point(all_39_3, all_39_2) = all_57_0 &
% 13.16/2.54 | | | left_apart_point(all_39_5, all_39_2) = all_57_3 &
% 13.16/2.54 | | | right_apart_point(all_39_3, all_39_2) = all_57_2 &
% 13.16/2.54 | | | right_apart_point(all_39_5, all_39_2) = all_57_1 & ( ~ (all_57_0 =
% 13.16/2.54 | | | 0) | ~ (all_57_1 = 0)) & ( ~ (all_57_2 = 0) | ~ (all_57_3 =
% 13.16/2.54 | | | 0))
% 13.16/2.54 | | |
% 13.16/2.54 | | | ALPHA: (40) implies:
% 13.16/2.55 | | | (41) right_apart_point(all_39_5, all_39_2) = all_57_1
% 13.16/2.55 | | | (42) right_apart_point(all_39_3, all_39_2) = all_57_2
% 13.16/2.55 | | | (43) left_apart_point(all_39_5, all_39_2) = all_57_3
% 13.16/2.55 | | | (44) left_apart_point(all_39_3, all_39_2) = all_57_0
% 13.16/2.55 | | | (45) ~ (all_57_2 = 0) | ~ (all_57_3 = 0)
% 13.16/2.55 | | | (46) ~ (all_57_0 = 0) | ~ (all_57_1 = 0)
% 13.16/2.55 | | |
% 13.16/2.55 | | | GROUND_INST: instantiating (4) with all_46_1, all_57_1, all_39_2,
% 13.16/2.55 | | | all_39_5, simplifying with (22), (41) gives:
% 13.16/2.55 | | | (47) all_57_1 = all_46_1
% 13.16/2.55 | | |
% 13.16/2.55 | | | GROUND_INST: instantiating (4) with all_46_2, all_52_1, all_39_2,
% 13.16/2.55 | | | all_39_4, simplifying with (23), (31) gives:
% 13.16/2.55 | | | (48) all_52_1 = all_46_2
% 13.16/2.55 | | |
% 13.16/2.55 | | | GROUND_INST: instantiating (4) with all_52_2, all_57_2, all_39_2,
% 13.16/2.55 | | | all_39_3, simplifying with (32), (42) gives:
% 13.16/2.55 | | | (49) all_57_2 = all_52_2
% 13.16/2.55 | | |
% 13.16/2.55 | | | GROUND_INST: instantiating (5) with all_46_3, all_57_3, all_39_2,
% 13.16/2.55 | | | all_39_5, simplifying with (24), (43) gives:
% 13.16/2.55 | | | (50) all_57_3 = all_46_3
% 13.16/2.55 | | |
% 13.16/2.55 | | | GROUND_INST: instantiating (5) with all_46_0, all_52_3, all_39_2,
% 13.16/2.55 | | | all_39_4, simplifying with (25), (33) gives:
% 13.16/2.55 | | | (51) all_52_3 = all_46_0
% 13.16/2.55 | | |
% 13.16/2.55 | | | GROUND_INST: instantiating (5) with all_52_0, all_57_0, all_39_2,
% 13.16/2.55 | | | all_39_3, simplifying with (34), (44) gives:
% 13.16/2.55 | | | (52) all_57_0 = all_52_0
% 13.16/2.55 | | |
% 13.16/2.55 | | | GROUND_INST: instantiating (1) with all_39_3, all_39_2, all_52_2,
% 13.16/2.55 | | | simplifying with (12), (13), (32) gives:
% 13.16/2.55 | | | (53) all_52_2 = 0 | ? [v0: any] : ? [v1: any] :
% 13.16/2.55 | | | (apart_point_and_line(all_39_3, all_39_2) = v0 &
% 13.16/2.55 | | | left_apart_point(all_39_3, all_39_2) = v1 & ( ~ (v0 = 0) | v1 =
% 13.16/2.55 | | | 0))
% 13.16/2.55 | | |
% 13.16/2.55 | | | BETA: splitting (26) gives:
% 13.16/2.55 | | |
% 13.16/2.55 | | | Case 1:
% 13.16/2.55 | | | |
% 13.16/2.55 | | | | (54) all_46_0 = 0 & all_46_1 = 0
% 13.16/2.55 | | | |
% 13.16/2.55 | | | | ALPHA: (54) implies:
% 13.16/2.55 | | | | (55) all_46_1 = 0
% 13.16/2.55 | | | | (56) all_46_0 = 0
% 13.16/2.55 | | | |
% 13.16/2.55 | | | | COMBINE_EQS: (51), (56) imply:
% 13.16/2.55 | | | | (57) all_52_3 = 0
% 13.16/2.55 | | | |
% 13.16/2.55 | | | | COMBINE_EQS: (47), (55) imply:
% 13.16/2.55 | | | | (58) all_57_1 = 0
% 13.16/2.55 | | | |
% 13.16/2.55 | | | | BETA: splitting (35) gives:
% 13.16/2.55 | | | |
% 13.16/2.55 | | | | Case 1:
% 13.16/2.55 | | | | |
% 13.16/2.55 | | | | | (59) ~ (all_52_2 = 0)
% 13.16/2.55 | | | | |
% 13.16/2.55 | | | | | BETA: splitting (46) gives:
% 13.16/2.55 | | | | |
% 13.16/2.55 | | | | | Case 1:
% 13.16/2.55 | | | | | |
% 13.16/2.55 | | | | | | (60) ~ (all_57_0 = 0)
% 13.16/2.55 | | | | | |
% 13.16/2.55 | | | | | | REDUCE: (52), (60) imply:
% 13.16/2.55 | | | | | | (61) ~ (all_52_0 = 0)
% 13.16/2.55 | | | | | |
% 13.16/2.55 | | | | | | BETA: splitting (53) gives:
% 13.16/2.55 | | | | | |
% 13.16/2.55 | | | | | | Case 1:
% 13.16/2.55 | | | | | | |
% 13.16/2.55 | | | | | | | (62) all_52_2 = 0
% 13.16/2.55 | | | | | | |
% 13.16/2.55 | | | | | | | REDUCE: (59), (62) imply:
% 13.16/2.55 | | | | | | | (63) $false
% 13.16/2.55 | | | | | | |
% 13.16/2.55 | | | | | | | CLOSE: (63) is inconsistent.
% 13.16/2.55 | | | | | | |
% 13.16/2.55 | | | | | | Case 2:
% 13.16/2.55 | | | | | | |
% 13.16/2.55 | | | | | | | (64) ? [v0: any] : ? [v1: any] :
% 13.16/2.55 | | | | | | | (apart_point_and_line(all_39_3, all_39_2) = v0 &
% 13.16/2.55 | | | | | | | left_apart_point(all_39_3, all_39_2) = v1 & ( ~ (v0 = 0)
% 13.16/2.55 | | | | | | | | v1 = 0))
% 13.16/2.55 | | | | | | |
% 13.16/2.55 | | | | | | | DELTA: instantiating (64) with fresh symbols all_99_0, all_99_1
% 13.16/2.55 | | | | | | | gives:
% 13.16/2.55 | | | | | | | (65) apart_point_and_line(all_39_3, all_39_2) = all_99_1 &
% 13.16/2.55 | | | | | | | left_apart_point(all_39_3, all_39_2) = all_99_0 & ( ~
% 13.16/2.55 | | | | | | | (all_99_1 = 0) | all_99_0 = 0)
% 13.16/2.55 | | | | | | |
% 13.16/2.55 | | | | | | | ALPHA: (65) implies:
% 13.16/2.55 | | | | | | | (66) left_apart_point(all_39_3, all_39_2) = all_99_0
% 13.16/2.55 | | | | | | | (67) apart_point_and_line(all_39_3, all_39_2) = all_99_1
% 13.16/2.56 | | | | | | | (68) ~ (all_99_1 = 0) | all_99_0 = 0
% 13.16/2.56 | | | | | | |
% 13.16/2.56 | | | | | | | GROUND_INST: instantiating (5) with all_52_0, all_99_0, all_39_2,
% 13.16/2.56 | | | | | | | all_39_3, simplifying with (34), (66) gives:
% 13.16/2.56 | | | | | | | (69) all_99_0 = all_52_0
% 13.16/2.56 | | | | | | |
% 13.16/2.56 | | | | | | | GROUND_INST: instantiating (6) with 0, all_99_1, all_39_2,
% 13.16/2.56 | | | | | | | all_39_3, simplifying with (14), (67) gives:
% 13.16/2.56 | | | | | | | (70) all_99_1 = 0
% 13.16/2.56 | | | | | | |
% 13.16/2.56 | | | | | | | BETA: splitting (68) gives:
% 13.16/2.56 | | | | | | |
% 13.16/2.56 | | | | | | | Case 1:
% 13.16/2.56 | | | | | | | |
% 13.16/2.56 | | | | | | | | (71) ~ (all_99_1 = 0)
% 13.16/2.56 | | | | | | | |
% 13.16/2.56 | | | | | | | | REDUCE: (70), (71) imply:
% 13.16/2.56 | | | | | | | | (72) $false
% 13.16/2.56 | | | | | | | |
% 13.16/2.56 | | | | | | | | CLOSE: (72) is inconsistent.
% 13.16/2.56 | | | | | | | |
% 13.16/2.56 | | | | | | | Case 2:
% 13.16/2.56 | | | | | | | |
% 13.16/2.56 | | | | | | | | (73) all_99_0 = 0
% 13.16/2.56 | | | | | | | |
% 13.16/2.56 | | | | | | | | COMBINE_EQS: (69), (73) imply:
% 13.16/2.56 | | | | | | | | (74) all_52_0 = 0
% 13.16/2.56 | | | | | | | |
% 13.16/2.56 | | | | | | | | REDUCE: (61), (74) imply:
% 13.16/2.56 | | | | | | | | (75) $false
% 13.16/2.56 | | | | | | | |
% 13.16/2.56 | | | | | | | | CLOSE: (75) is inconsistent.
% 13.16/2.56 | | | | | | | |
% 13.16/2.56 | | | | | | | End of split
% 13.16/2.56 | | | | | | |
% 13.16/2.56 | | | | | | End of split
% 13.16/2.56 | | | | | |
% 13.16/2.56 | | | | | Case 2:
% 13.16/2.56 | | | | | |
% 13.16/2.56 | | | | | | (76) ~ (all_57_1 = 0)
% 13.16/2.56 | | | | | |
% 13.16/2.56 | | | | | | REDUCE: (58), (76) imply:
% 13.16/2.56 | | | | | | (77) $false
% 13.16/2.56 | | | | | |
% 13.16/2.56 | | | | | | CLOSE: (77) is inconsistent.
% 13.16/2.56 | | | | | |
% 13.16/2.56 | | | | | End of split
% 13.16/2.56 | | | | |
% 13.16/2.56 | | | | Case 2:
% 13.16/2.56 | | | | |
% 13.16/2.56 | | | | | (78) ~ (all_52_3 = 0)
% 13.16/2.56 | | | | |
% 13.16/2.56 | | | | | REDUCE: (57), (78) imply:
% 13.16/2.56 | | | | | (79) $false
% 13.16/2.56 | | | | |
% 13.16/2.56 | | | | | CLOSE: (79) is inconsistent.
% 13.16/2.56 | | | | |
% 13.16/2.56 | | | | End of split
% 13.16/2.56 | | | |
% 13.16/2.56 | | | Case 2:
% 13.16/2.56 | | | |
% 13.16/2.56 | | | | (80) all_46_2 = 0 & all_46_3 = 0
% 13.16/2.56 | | | |
% 13.16/2.56 | | | | ALPHA: (80) implies:
% 13.16/2.56 | | | | (81) all_46_3 = 0
% 13.16/2.56 | | | | (82) all_46_2 = 0
% 13.16/2.56 | | | |
% 13.16/2.56 | | | | COMBINE_EQS: (48), (82) imply:
% 13.16/2.56 | | | | (83) all_52_1 = 0
% 13.16/2.56 | | | |
% 13.16/2.56 | | | | COMBINE_EQS: (50), (81) imply:
% 13.16/2.56 | | | | (84) all_57_3 = 0
% 13.16/2.56 | | | |
% 13.16/2.56 | | | | BETA: splitting (45) gives:
% 13.16/2.56 | | | |
% 13.16/2.56 | | | | Case 1:
% 13.16/2.56 | | | | |
% 13.16/2.56 | | | | | (85) ~ (all_57_2 = 0)
% 13.16/2.56 | | | | |
% 13.16/2.56 | | | | | REDUCE: (49), (85) imply:
% 13.16/2.56 | | | | | (86) ~ (all_52_2 = 0)
% 13.16/2.56 | | | | |
% 13.16/2.56 | | | | | BETA: splitting (53) gives:
% 13.16/2.56 | | | | |
% 13.16/2.56 | | | | | Case 1:
% 13.16/2.56 | | | | | |
% 13.16/2.56 | | | | | | (87) all_52_2 = 0
% 13.16/2.56 | | | | | |
% 13.16/2.56 | | | | | | REDUCE: (86), (87) imply:
% 13.16/2.56 | | | | | | (88) $false
% 13.16/2.56 | | | | | |
% 13.16/2.56 | | | | | | CLOSE: (88) is inconsistent.
% 13.16/2.56 | | | | | |
% 13.16/2.56 | | | | | Case 2:
% 13.16/2.56 | | | | | |
% 13.16/2.56 | | | | | | (89) ? [v0: any] : ? [v1: any] :
% 13.16/2.56 | | | | | | (apart_point_and_line(all_39_3, all_39_2) = v0 &
% 13.16/2.56 | | | | | | left_apart_point(all_39_3, all_39_2) = v1 & ( ~ (v0 = 0) |
% 13.16/2.56 | | | | | | v1 = 0))
% 13.16/2.56 | | | | | |
% 13.16/2.56 | | | | | | DELTA: instantiating (89) with fresh symbols all_91_0, all_91_1
% 13.16/2.56 | | | | | | gives:
% 13.16/2.56 | | | | | | (90) apart_point_and_line(all_39_3, all_39_2) = all_91_1 &
% 13.16/2.56 | | | | | | left_apart_point(all_39_3, all_39_2) = all_91_0 & ( ~
% 13.16/2.56 | | | | | | (all_91_1 = 0) | all_91_0 = 0)
% 13.16/2.56 | | | | | |
% 13.16/2.56 | | | | | | ALPHA: (90) implies:
% 13.16/2.56 | | | | | | (91) left_apart_point(all_39_3, all_39_2) = all_91_0
% 13.16/2.56 | | | | | | (92) apart_point_and_line(all_39_3, all_39_2) = all_91_1
% 13.16/2.56 | | | | | | (93) ~ (all_91_1 = 0) | all_91_0 = 0
% 13.16/2.56 | | | | | |
% 13.16/2.56 | | | | | | BETA: splitting (36) gives:
% 13.16/2.56 | | | | | |
% 13.16/2.56 | | | | | | Case 1:
% 13.16/2.56 | | | | | | |
% 13.16/2.56 | | | | | | | (94) ~ (all_52_0 = 0)
% 13.16/2.56 | | | | | | |
% 13.16/2.56 | | | | | | | GROUND_INST: instantiating (5) with all_52_0, all_91_0, all_39_2,
% 13.16/2.56 | | | | | | | all_39_3, simplifying with (34), (91) gives:
% 13.16/2.56 | | | | | | | (95) all_91_0 = all_52_0
% 13.16/2.56 | | | | | | |
% 13.16/2.56 | | | | | | | GROUND_INST: instantiating (6) with 0, all_91_1, all_39_2,
% 13.16/2.56 | | | | | | | all_39_3, simplifying with (14), (92) gives:
% 13.16/2.56 | | | | | | | (96) all_91_1 = 0
% 13.16/2.56 | | | | | | |
% 13.16/2.56 | | | | | | | BETA: splitting (93) gives:
% 13.16/2.56 | | | | | | |
% 13.16/2.56 | | | | | | | Case 1:
% 13.16/2.56 | | | | | | | |
% 13.16/2.56 | | | | | | | | (97) ~ (all_91_1 = 0)
% 13.16/2.56 | | | | | | | |
% 13.16/2.56 | | | | | | | | REDUCE: (96), (97) imply:
% 13.16/2.56 | | | | | | | | (98) $false
% 13.16/2.56 | | | | | | | |
% 13.16/2.56 | | | | | | | | CLOSE: (98) is inconsistent.
% 13.16/2.56 | | | | | | | |
% 13.16/2.56 | | | | | | | Case 2:
% 13.16/2.56 | | | | | | | |
% 13.16/2.56 | | | | | | | | (99) all_91_0 = 0
% 13.16/2.56 | | | | | | | |
% 13.16/2.56 | | | | | | | | COMBINE_EQS: (95), (99) imply:
% 13.16/2.56 | | | | | | | | (100) all_52_0 = 0
% 13.16/2.57 | | | | | | | |
% 13.16/2.57 | | | | | | | | REDUCE: (94), (100) imply:
% 13.16/2.57 | | | | | | | | (101) $false
% 13.16/2.57 | | | | | | | |
% 13.16/2.57 | | | | | | | | CLOSE: (101) is inconsistent.
% 13.16/2.57 | | | | | | | |
% 13.16/2.57 | | | | | | | End of split
% 13.16/2.57 | | | | | | |
% 13.16/2.57 | | | | | | Case 2:
% 13.16/2.57 | | | | | | |
% 13.16/2.57 | | | | | | | (102) ~ (all_52_1 = 0)
% 13.16/2.57 | | | | | | |
% 13.16/2.57 | | | | | | | REDUCE: (83), (102) imply:
% 13.16/2.57 | | | | | | | (103) $false
% 13.16/2.57 | | | | | | |
% 13.16/2.57 | | | | | | | CLOSE: (103) is inconsistent.
% 13.16/2.57 | | | | | | |
% 13.16/2.57 | | | | | | End of split
% 13.16/2.57 | | | | | |
% 13.16/2.57 | | | | | End of split
% 13.16/2.57 | | | | |
% 13.16/2.57 | | | | Case 2:
% 13.16/2.57 | | | | |
% 13.16/2.57 | | | | | (104) ~ (all_57_3 = 0)
% 13.16/2.57 | | | | |
% 13.16/2.57 | | | | | REDUCE: (84), (104) imply:
% 13.16/2.57 | | | | | (105) $false
% 13.16/2.57 | | | | |
% 13.16/2.57 | | | | | CLOSE: (105) is inconsistent.
% 13.16/2.57 | | | | |
% 13.16/2.57 | | | | End of split
% 13.16/2.57 | | | |
% 13.16/2.57 | | | End of split
% 13.16/2.57 | | |
% 13.16/2.57 | | End of split
% 13.16/2.57 | |
% 13.16/2.57 | End of split
% 13.16/2.57 |
% 13.16/2.57 End of proof
% 13.16/2.57 % SZS output end Proof for theBenchmark
% 13.16/2.57
% 13.16/2.57 1952ms
%------------------------------------------------------------------------------