TSTP Solution File: GEO261+3 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : GEO261+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 : n015.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 23:22:50 EDT 2023
% Result : Theorem 14.95s 2.79s
% Output : Proof 18.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO261+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n015.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 : Wed Aug 30 00:22:56 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/sandbox/benchmark/theBenchmark.p ...
% 0.19/0.63 Running up to 7 provers in parallel.
% 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 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 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 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
% 3.44/1.15 Prover 4: Preprocessing ...
% 3.44/1.15 Prover 1: Preprocessing ...
% 3.44/1.19 Prover 5: Preprocessing ...
% 3.44/1.19 Prover 2: Preprocessing ...
% 3.44/1.19 Prover 0: Preprocessing ...
% 3.44/1.19 Prover 3: Preprocessing ...
% 3.44/1.19 Prover 6: Preprocessing ...
% 6.83/1.65 Prover 5: Proving ...
% 7.22/1.70 Prover 2: Proving ...
% 7.22/1.71 Prover 6: Constructing countermodel ...
% 7.98/1.79 Prover 3: Constructing countermodel ...
% 7.98/1.80 Prover 1: Constructing countermodel ...
% 9.46/1.98 Prover 6: gave up
% 9.46/1.98 Prover 3: gave up
% 9.46/1.99 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 9.46/1.99 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 9.46/2.02 Prover 1: gave up
% 9.46/2.03 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 10.04/2.06 Prover 8: Preprocessing ...
% 10.23/2.07 Prover 7: Preprocessing ...
% 10.23/2.09 Prover 4: Constructing countermodel ...
% 10.23/2.11 Prover 9: Preprocessing ...
% 10.23/2.15 Prover 7: Warning: ignoring some quantifiers
% 10.23/2.19 Prover 7: Constructing countermodel ...
% 10.80/2.27 Prover 0: Proving ...
% 11.81/2.30 Prover 8: Warning: ignoring some quantifiers
% 11.81/2.32 Prover 8: Constructing countermodel ...
% 12.43/2.40 Prover 7: gave up
% 12.65/2.41 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 12.81/2.44 Prover 10: Preprocessing ...
% 12.81/2.50 Prover 8: gave up
% 12.81/2.51 Prover 10: Warning: ignoring some quantifiers
% 12.81/2.51 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 13.56/2.53 Prover 10: Constructing countermodel ...
% 13.56/2.57 Prover 11: Preprocessing ...
% 13.56/2.57 Prover 9: Constructing countermodel ...
% 14.11/2.66 Prover 10: gave up
% 14.11/2.66 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391
% 14.95/2.70 Prover 12: Preprocessing ...
% 14.95/2.79 Prover 2: proved (2155ms)
% 14.95/2.79
% 14.95/2.79 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.95/2.79
% 14.95/2.79 Prover 9: stopped
% 14.95/2.79 Prover 5: stopped
% 14.95/2.80 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 14.95/2.80 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 14.95/2.80 Prover 0: stopped
% 14.95/2.80 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 14.95/2.82 Prover 12: stopped
% 15.26/2.83 Prover 13: Preprocessing ...
% 15.26/2.84 Prover 16: Preprocessing ...
% 15.26/2.85 Prover 19: Preprocessing ...
% 15.26/2.90 Prover 16: Warning: ignoring some quantifiers
% 15.26/2.91 Prover 13: Warning: ignoring some quantifiers
% 15.26/2.92 Prover 13: Constructing countermodel ...
% 15.26/2.92 Prover 16: Constructing countermodel ...
% 16.59/2.96 Prover 11: Constructing countermodel ...
% 17.12/3.00 Prover 19: Warning: ignoring some quantifiers
% 17.12/3.01 Prover 19: Constructing countermodel ...
% 17.66/3.14 Prover 13: Found proof (size 24)
% 17.66/3.14 Prover 13: proved (349ms)
% 17.66/3.14 Prover 11: stopped
% 17.66/3.14 Prover 19: stopped
% 17.66/3.14 Prover 4: stopped
% 17.66/3.14 Prover 16: stopped
% 17.66/3.14
% 17.66/3.14 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.66/3.14
% 17.66/3.15 % SZS output start Proof for theBenchmark
% 17.66/3.15 Assumptions after simplification:
% 17.66/3.15 ---------------------------------
% 17.66/3.15
% 17.66/3.15 (a1_defns)
% 18.34/3.17 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (reverse_line(v1) = v2) | ~
% 18.34/3.17 $i(v1) | ~ $i(v0) | ~ unequally_directed_lines(v0, v2) |
% 18.34/3.17 unequally_directed_opposite_lines(v0, v1)) & ! [v0: $i] : ! [v1: $i] : !
% 18.34/3.17 [v2: $i] : ( ~ (reverse_line(v1) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 18.34/3.17 unequally_directed_opposite_lines(v0, v1) | unequally_directed_lines(v0,
% 18.34/3.17 v2))
% 18.34/3.17
% 18.34/3.17 (a7_defns)
% 18.34/3.17 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ convergent_lines(v0,
% 18.34/3.17 v1) | unequally_directed_lines(v0, v1)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 18.34/3.17 $i(v1) | ~ $i(v0) | ~ convergent_lines(v0, v1) |
% 18.34/3.17 unequally_directed_opposite_lines(v0, v1)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 18.34/3.17 $i(v1) | ~ $i(v0) | ~ unequally_directed_lines(v0, v1) | ~
% 18.34/3.17 unequally_directed_opposite_lines(v0, v1) | convergent_lines(v0, v1))
% 18.34/3.17
% 18.34/3.17 (ax11_basics)
% 18.34/3.18 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (reverse_line(v1) = v2) | ~
% 18.34/3.18 $i(v1) | ~ $i(v0) | ~ left_convergent_lines(v0, v2)) & ! [v0: $i] : !
% 18.34/3.18 [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ left_convergent_lines(v0, v1))
% 18.34/3.18
% 18.34/3.18 (ax6_cons_objs)
% 18.34/3.18 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (intersection_point(v0, v1) =
% 18.34/3.18 v2) | ~ $i(v1) | ~ $i(v0) | ~ apart_point_and_line(v2, v1) | ~
% 18.34/3.18 unequally_directed_lines(v0, v1) | ? [v3: $i] : (reverse_line(v1) = v3 &
% 18.34/3.18 $i(v3) & ~ unequally_directed_lines(v0, v3))) & ! [v0: $i] : ! [v1: $i]
% 18.34/3.18 : ! [v2: $i] : ( ~ (intersection_point(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0)
% 18.34/3.18 | ~ apart_point_and_line(v2, v0) | ~ unequally_directed_lines(v0, v1) | ?
% 18.34/3.18 [v3: $i] : (reverse_line(v1) = v3 & $i(v3) & ~ unequally_directed_lines(v0,
% 18.34/3.18 v3))) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~
% 18.34/3.18 unequally_directed_lines(v0, v1) | ? [v2: $i] : ? [v3: $i] :
% 18.34/3.18 (intersection_point(v0, v1) = v3 & reverse_line(v1) = v2 & $i(v3) & $i(v2) &
% 18.34/3.18 ( ~ unequally_directed_lines(v0, v2) | ( ~ apart_point_and_line(v3, v1) &
% 18.34/3.18 ~ apart_point_and_line(v3, v0)))))
% 18.34/3.18
% 18.34/3.18 (ax9_basics)
% 18.34/3.18 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (reverse_line(v1) = v2) | ~
% 18.34/3.18 $i(v1) | ~ $i(v0) | ~ unequally_directed_lines(v0, v2) | ~
% 18.34/3.18 unequally_directed_lines(v0, v1) | left_convergent_lines(v0, v2) |
% 18.34/3.18 left_convergent_lines(v0, v1))
% 18.34/3.18
% 18.34/3.18 (con)
% 18.34/3.18 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ($i(v4)
% 18.34/3.18 & $i(v3) & $i(v2) & $i(v1) & $i(v0) & between_on_line(v0, v2, v3, v4) &
% 18.34/3.18 incident_point_and_line(v3, v1) & convergent_lines(v0, v1) & ~
% 18.34/3.18 divides_points(v1, v2, v4))
% 18.34/3.18
% 18.34/3.18 Further assumptions not needed in the proof:
% 18.34/3.18 --------------------------------------------
% 18.34/3.18 a2_defns, a3_defns, a4_defns, a5_defns, a6_defns, a8_defns, a9_defns,
% 18.34/3.18 ax10_basics, ax10_cons_objs, ax1_basics, ax1_cons_objs, ax1_subs, ax1_uniq_cons,
% 18.34/3.18 ax2_basics, ax2_cons_objs, ax2_subs, ax2_uniq_cons, ax3_basics, ax3_cons_objs,
% 18.34/3.18 ax3_subs, ax4_basics, ax4_cons_objs, ax4_defns, ax5_basics, ax5_cons_objs,
% 18.34/3.18 ax6_basics, ax7_basics, ax7_cons_objs, ax8_basics, ax8_cons_objs, ax9_cons_objs
% 18.34/3.18
% 18.34/3.18 Those formulas are unsatisfiable:
% 18.34/3.18 ---------------------------------
% 18.34/3.18
% 18.34/3.18 Begin of proof
% 18.34/3.18 |
% 18.34/3.19 | ALPHA: (a1_defns) implies:
% 18.34/3.19 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (reverse_line(v1) = v2) |
% 18.34/3.19 | ~ $i(v1) | ~ $i(v0) | ~ unequally_directed_opposite_lines(v0, v1)
% 18.34/3.19 | | unequally_directed_lines(v0, v2))
% 18.34/3.19 |
% 18.34/3.19 | ALPHA: (a7_defns) implies:
% 18.34/3.19 | (2) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~
% 18.34/3.19 | convergent_lines(v0, v1) | unequally_directed_opposite_lines(v0, v1))
% 18.34/3.19 | (3) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~
% 18.34/3.19 | convergent_lines(v0, v1) | unequally_directed_lines(v0, v1))
% 18.34/3.19 |
% 18.34/3.19 | ALPHA: (ax11_basics) implies:
% 18.34/3.19 | (4) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~
% 18.34/3.19 | left_convergent_lines(v0, v1))
% 18.34/3.19 |
% 18.34/3.19 | ALPHA: (ax6_cons_objs) implies:
% 18.34/3.19 | (5) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~
% 18.34/3.19 | unequally_directed_lines(v0, v1) | ? [v2: $i] : ? [v3: $i] :
% 18.34/3.19 | (intersection_point(v0, v1) = v3 & reverse_line(v1) = v2 & $i(v3) &
% 18.34/3.19 | $i(v2) & ( ~ unequally_directed_lines(v0, v2) | ( ~
% 18.34/3.19 | apart_point_and_line(v3, v1) & ~ apart_point_and_line(v3,
% 18.34/3.19 | v0)))))
% 18.34/3.19 |
% 18.34/3.19 | DELTA: instantiating (con) with fresh symbols all_49_0, all_49_1, all_49_2,
% 18.34/3.19 | all_49_3, all_49_4 gives:
% 18.34/3.19 | (6) $i(all_49_0) & $i(all_49_1) & $i(all_49_2) & $i(all_49_3) &
% 18.34/3.19 | $i(all_49_4) & between_on_line(all_49_4, all_49_2, all_49_1, all_49_0)
% 18.34/3.19 | & incident_point_and_line(all_49_1, all_49_3) &
% 18.34/3.19 | convergent_lines(all_49_4, all_49_3) & ~ divides_points(all_49_3,
% 18.34/3.19 | all_49_2, all_49_0)
% 18.34/3.19 |
% 18.34/3.19 | ALPHA: (6) implies:
% 18.34/3.19 | (7) convergent_lines(all_49_4, all_49_3)
% 18.34/3.19 | (8) $i(all_49_4)
% 18.34/3.19 | (9) $i(all_49_3)
% 18.34/3.19 |
% 18.34/3.19 | GROUND_INST: instantiating (3) with all_49_4, all_49_3, simplifying with (7),
% 18.34/3.19 | (8), (9) gives:
% 18.34/3.19 | (10) unequally_directed_lines(all_49_4, all_49_3)
% 18.34/3.19 |
% 18.34/3.19 | GROUND_INST: instantiating (2) with all_49_4, all_49_3, simplifying with (7),
% 18.34/3.19 | (8), (9) gives:
% 18.34/3.19 | (11) unequally_directed_opposite_lines(all_49_4, all_49_3)
% 18.47/3.19 |
% 18.47/3.19 | GROUND_INST: instantiating (5) with all_49_4, all_49_3, simplifying with (8),
% 18.47/3.19 | (9), (10) gives:
% 18.47/3.20 | (12) ? [v0: $i] : ? [v1: $i] : (intersection_point(all_49_4, all_49_3) =
% 18.47/3.20 | v1 & reverse_line(all_49_3) = v0 & $i(v1) & $i(v0) & ( ~
% 18.47/3.20 | unequally_directed_lines(all_49_4, v0) | ( ~
% 18.47/3.20 | apart_point_and_line(v1, all_49_3) & ~ apart_point_and_line(v1,
% 18.47/3.20 | all_49_4))))
% 18.47/3.20 |
% 18.47/3.20 | DELTA: instantiating (12) with fresh symbols all_62_0, all_62_1 gives:
% 18.47/3.20 | (13) intersection_point(all_49_4, all_49_3) = all_62_0 &
% 18.47/3.20 | reverse_line(all_49_3) = all_62_1 & $i(all_62_0) & $i(all_62_1) & ( ~
% 18.47/3.20 | unequally_directed_lines(all_49_4, all_62_1) | ( ~
% 18.47/3.20 | apart_point_and_line(all_62_0, all_49_3) & ~
% 18.47/3.20 | apart_point_and_line(all_62_0, all_49_4)))
% 18.47/3.20 |
% 18.47/3.20 | ALPHA: (13) implies:
% 18.47/3.20 | (14) $i(all_62_1)
% 18.47/3.20 | (15) reverse_line(all_49_3) = all_62_1
% 18.47/3.20 | (16) ~ unequally_directed_lines(all_49_4, all_62_1) | ( ~
% 18.47/3.20 | apart_point_and_line(all_62_0, all_49_3) & ~
% 18.47/3.20 | apart_point_and_line(all_62_0, all_49_4))
% 18.47/3.20 |
% 18.47/3.20 | GROUND_INST: instantiating (1) with all_49_4, all_49_3, all_62_1, simplifying
% 18.47/3.20 | with (8), (9), (11), (15) gives:
% 18.47/3.20 | (17) unequally_directed_lines(all_49_4, all_62_1)
% 18.47/3.20 |
% 18.47/3.20 | BETA: splitting (16) gives:
% 18.47/3.20 |
% 18.47/3.20 | Case 1:
% 18.47/3.20 | |
% 18.47/3.20 | | (18) ~ unequally_directed_lines(all_49_4, all_62_1)
% 18.47/3.20 | |
% 18.47/3.20 | | PRED_UNIFY: (17), (18) imply:
% 18.47/3.20 | | (19) $false
% 18.47/3.20 | |
% 18.47/3.20 | | CLOSE: (19) is inconsistent.
% 18.47/3.20 | |
% 18.47/3.20 | Case 2:
% 18.47/3.20 | |
% 18.47/3.20 | |
% 18.47/3.20 | | GROUND_INST: instantiating (ax9_basics) with all_49_4, all_49_3, all_62_1,
% 18.47/3.20 | | simplifying with (8), (9), (10), (15), (17) gives:
% 18.47/3.20 | | (20) left_convergent_lines(all_49_4, all_62_1) |
% 18.47/3.20 | | left_convergent_lines(all_49_4, all_49_3)
% 18.47/3.20 | |
% 18.47/3.20 | | BETA: splitting (20) gives:
% 18.47/3.20 | |
% 18.47/3.20 | | Case 1:
% 18.47/3.20 | | |
% 18.47/3.20 | | | (21) left_convergent_lines(all_49_4, all_62_1)
% 18.47/3.20 | | |
% 18.47/3.20 | | | GROUND_INST: instantiating (4) with all_49_4, all_62_1, simplifying with
% 18.47/3.20 | | | (8), (14), (21) gives:
% 18.47/3.20 | | | (22) $false
% 18.47/3.20 | | |
% 18.47/3.20 | | | CLOSE: (22) is inconsistent.
% 18.47/3.20 | | |
% 18.47/3.20 | | Case 2:
% 18.47/3.20 | | |
% 18.47/3.20 | | | (23) left_convergent_lines(all_49_4, all_49_3)
% 18.47/3.20 | | |
% 18.47/3.20 | | | GROUND_INST: instantiating (4) with all_49_4, all_49_3, simplifying with
% 18.47/3.20 | | | (8), (9), (23) gives:
% 18.47/3.20 | | | (24) $false
% 18.47/3.20 | | |
% 18.47/3.20 | | | CLOSE: (24) is inconsistent.
% 18.47/3.20 | | |
% 18.47/3.20 | | End of split
% 18.47/3.20 | |
% 18.47/3.20 | End of split
% 18.47/3.20 |
% 18.47/3.20 End of proof
% 18.47/3.20 % SZS output end Proof for theBenchmark
% 18.47/3.20
% 18.47/3.20 2587ms
%------------------------------------------------------------------------------