TSTP Solution File: GEO124+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : GEO124+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n008.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 23:21:33 EDT 2023
% Result : Theorem 9.41s 2.14s
% Output : Proof 14.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO124+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n008.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 23:02:17 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.60 ________ _____
% 0.19/0.60 ___ __ \_________(_)________________________________
% 0.19/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.19/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.19/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.19/0.60
% 0.19/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.60 (2023-06-19)
% 0.19/0.60
% 0.19/0.60 (c) Philipp Rümmer, 2009-2023
% 0.19/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.60 Amanda Stjerna.
% 0.19/0.60 Free software under BSD-3-Clause.
% 0.19/0.60
% 0.19/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.60
% 0.19/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.19/0.62 Running up to 7 provers in parallel.
% 0.19/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.45/1.23 Prover 4: Preprocessing ...
% 3.45/1.23 Prover 1: Preprocessing ...
% 3.96/1.27 Prover 5: Preprocessing ...
% 3.96/1.27 Prover 3: Preprocessing ...
% 3.96/1.27 Prover 0: Preprocessing ...
% 3.96/1.27 Prover 2: Preprocessing ...
% 3.96/1.28 Prover 6: Preprocessing ...
% 7.78/1.78 Prover 5: Proving ...
% 7.78/1.79 Prover 2: Proving ...
% 7.78/1.86 Prover 1: Warning: ignoring some quantifiers
% 8.46/1.90 Prover 6: Proving ...
% 8.46/1.90 Prover 3: Warning: ignoring some quantifiers
% 8.64/1.92 Prover 1: Constructing countermodel ...
% 8.64/1.92 Prover 3: Constructing countermodel ...
% 9.41/2.14 Prover 2: proved (1517ms)
% 9.41/2.14
% 9.41/2.14 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.41/2.14
% 9.41/2.15 Prover 5: stopped
% 9.41/2.15 Prover 6: stopped
% 9.41/2.16 Prover 3: stopped
% 9.41/2.17 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 9.41/2.17 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 9.41/2.17 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 9.41/2.17 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 9.41/2.20 Prover 8: Preprocessing ...
% 10.07/2.23 Prover 10: Preprocessing ...
% 10.07/2.23 Prover 7: Preprocessing ...
% 10.07/2.23 Prover 11: Preprocessing ...
% 11.53/2.32 Prover 10: Warning: ignoring some quantifiers
% 11.53/2.32 Prover 7: Warning: ignoring some quantifiers
% 11.53/2.36 Prover 10: Constructing countermodel ...
% 11.53/2.36 Prover 7: Constructing countermodel ...
% 11.53/2.40 Prover 4: Warning: ignoring some quantifiers
% 11.53/2.40 Prover 8: Warning: ignoring some quantifiers
% 12.27/2.42 Prover 8: Constructing countermodel ...
% 12.27/2.46 Prover 0: Proving ...
% 12.27/2.47 Prover 4: Constructing countermodel ...
% 12.27/2.49 Prover 0: stopped
% 12.90/2.50 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 12.90/2.53 Prover 13: Preprocessing ...
% 12.90/2.55 Prover 10: Found proof (size 23)
% 12.90/2.55 Prover 10: proved (381ms)
% 12.90/2.55 Prover 8: stopped
% 12.90/2.55 Prover 7: stopped
% 12.90/2.55 Prover 1: stopped
% 12.90/2.56 Prover 4: stopped
% 12.90/2.56 Prover 13: stopped
% 13.61/2.70 Prover 11: Warning: ignoring some quantifiers
% 14.06/2.73 Prover 11: Constructing countermodel ...
% 14.06/2.74 Prover 11: stopped
% 14.06/2.74
% 14.06/2.74 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.06/2.74
% 14.06/2.75 % SZS output start Proof for theBenchmark
% 14.06/2.75 Assumptions after simplification:
% 14.06/2.75 ---------------------------------
% 14.06/2.75
% 14.06/2.75 (between_c_defn)
% 14.06/2.76 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v3 = v1
% 14.06/2.76 | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 14.06/2.76 inner_point(v2, v4) | ~ end_point(v3, v4) | ~ end_point(v1, v4) | ~
% 14.06/2.76 part_of(v4, v0) | between_c(v0, v1, v2, v3)) & ! [v0: $i] : ! [v1: $i] :
% 14.06/2.76 ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 14.06/2.76 between_c(v0, v1, v2, v3) | ? [v4: $i] : ($i(v4) & inner_point(v2, v4) &
% 14.06/2.76 end_point(v3, v4) & end_point(v1, v4) & part_of(v4, v0))) & ! [v0: $i] :
% 14.06/2.76 ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 14.06/2.76 between_c(v0, v1, v2, v1))
% 14.06/2.76
% 14.06/2.76 (between_o_defn)
% 14.06/2.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2)
% 14.06/2.77 | ~ $i(v1) | ~ $i(v0) | ~ ordered_by(v0, v3, v2) | ~ ordered_by(v0, v2,
% 14.06/2.77 v1) | between_o(v0, v1, v2, v3)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 14.06/2.77 : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 14.06/2.77 ordered_by(v0, v2, v3) | ~ ordered_by(v0, v1, v2) | between_o(v0, v1, v2,
% 14.06/2.77 v3)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3)
% 14.06/2.77 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ between_o(v0, v1, v2, v3) |
% 14.06/2.77 ordered_by(v0, v3, v2) | ordered_by(v0, v2, v3)) & ! [v0: $i] : ! [v1: $i]
% 14.06/2.77 : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 14.06/2.77 ~ between_o(v0, v1, v2, v3) | ordered_by(v0, v3, v2) | ordered_by(v0, v1,
% 14.06/2.77 v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3)
% 14.06/2.77 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ between_o(v0, v1, v2, v3) |
% 14.06/2.77 ordered_by(v0, v2, v3) | ordered_by(v0, v2, v1)) & ! [v0: $i] : ! [v1: $i]
% 14.06/2.77 : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 14.06/2.77 ~ between_o(v0, v1, v2, v3) | ordered_by(v0, v2, v1) | ordered_by(v0, v1,
% 14.06/2.77 v2))
% 14.06/2.77
% 14.06/2.77 (corollary_4_10_1)
% 14.06/2.77 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ( ~ (v2 = v1) & $i(v2) & $i(v1) &
% 14.06/2.77 $i(v0) & start_point(v2, v0) & start_point(v1, v0))
% 14.06/2.77
% 14.06/2.77 (o3)
% 14.06/2.77 ? [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 14.06/2.77 $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ between_c(v4,
% 14.06/2.77 v1, v2, v3) | between_o(v0, v1, v2, v3) | ? [v5: $i] : ($i(v5) & ( ~
% 14.06/2.77 incident_o(v5, v0) | ~ incident_c(v5, v4)) & (incident_o(v5, v0) |
% 14.06/2.77 incident_c(v5, v4)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 14.06/2.77 [v3: $i] : ( ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ between_o(v3,
% 14.06/2.77 v0, v1, v2) | ? [v4: $i] : ($i(v4) & between_c(v4, v0, v1, v2) & ! [v5:
% 14.06/2.77 $i] : ( ~ $i(v5) | ~ incident_o(v5, v3) | incident_c(v5, v4)) & ! [v5:
% 14.06/2.77 $i] : ( ~ $i(v5) | ~ incident_c(v5, v4) | incident_o(v5, v3))))
% 14.06/2.77
% 14.06/2.77 (start_point_defn)
% 14.06/2.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v0 | ~ $i(v2) | ~ $i(v1) |
% 14.06/2.77 ~ $i(v0) | ~ incident_o(v2, v1) | ~ start_point(v0, v1) | ordered_by(v1,
% 14.06/2.77 v0, v2)) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~
% 14.06/2.77 incident_o(v0, v1) | start_point(v0, v1) | ? [v2: $i] : ( ~ (v2 = v0) &
% 14.06/2.77 $i(v2) & incident_o(v2, v1) & ~ ordered_by(v1, v0, v2))) & ! [v0: $i] :
% 14.06/2.77 ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ start_point(v0, v1) | incident_o(v0,
% 14.06/2.77 v1))
% 14.06/2.77
% 14.06/2.77 Further assumptions not needed in the proof:
% 14.06/2.77 --------------------------------------------
% 14.06/2.77 c1, c2, c3, c4, c5, c6, c7, c8, c9, closed_defn, end_point_defn,
% 14.06/2.77 finish_point_defn, inner_point_defn, meet_defn, o1, o2, o4, o5, o6, open_defn,
% 14.06/2.77 part_of_defn, sum_defn, underlying_curve_defn
% 14.06/2.77
% 14.06/2.77 Those formulas are unsatisfiable:
% 14.06/2.77 ---------------------------------
% 14.06/2.77
% 14.06/2.77 Begin of proof
% 14.06/2.77 |
% 14.06/2.77 | ALPHA: (between_c_defn) implies:
% 14.06/2.77 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~
% 14.06/2.77 | $i(v0) | ~ between_c(v0, v1, v2, v1))
% 14.06/2.77 |
% 14.06/2.77 | ALPHA: (between_o_defn) implies:
% 14.06/2.78 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~
% 14.06/2.78 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ ordered_by(v0, v3, v2) | ~
% 14.06/2.78 | ordered_by(v0, v2, v1) | between_o(v0, v1, v2, v3))
% 14.06/2.78 |
% 14.06/2.78 | ALPHA: (start_point_defn) implies:
% 14.06/2.78 | (3) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ start_point(v0,
% 14.06/2.78 | v1) | incident_o(v0, v1))
% 14.06/2.78 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v0 | ~ $i(v2) | ~
% 14.06/2.78 | $i(v1) | ~ $i(v0) | ~ incident_o(v2, v1) | ~ start_point(v0, v1) |
% 14.06/2.78 | ordered_by(v1, v0, v2))
% 14.06/2.78 |
% 14.06/2.78 | ALPHA: (o3) implies:
% 14.06/2.78 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~
% 14.06/2.78 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ between_o(v3, v0, v1, v2) | ?
% 14.06/2.78 | [v4: $i] : ($i(v4) & between_c(v4, v0, v1, v2) & ! [v5: $i] : ( ~
% 14.06/2.78 | $i(v5) | ~ incident_o(v5, v3) | incident_c(v5, v4)) & ! [v5:
% 14.06/2.78 | $i] : ( ~ $i(v5) | ~ incident_c(v5, v4) | incident_o(v5, v3))))
% 14.06/2.78 |
% 14.06/2.78 | DELTA: instantiating (corollary_4_10_1) with fresh symbols all_29_0, all_29_1,
% 14.06/2.78 | all_29_2 gives:
% 14.06/2.78 | (6) ~ (all_29_0 = all_29_1) & $i(all_29_0) & $i(all_29_1) & $i(all_29_2) &
% 14.06/2.78 | start_point(all_29_0, all_29_2) & start_point(all_29_1, all_29_2)
% 14.06/2.78 |
% 14.06/2.78 | ALPHA: (6) implies:
% 14.06/2.78 | (7) ~ (all_29_0 = all_29_1)
% 14.06/2.78 | (8) start_point(all_29_1, all_29_2)
% 14.06/2.78 | (9) start_point(all_29_0, all_29_2)
% 14.06/2.78 | (10) $i(all_29_2)
% 14.06/2.78 | (11) $i(all_29_1)
% 14.06/2.78 | (12) $i(all_29_0)
% 14.06/2.78 |
% 14.06/2.78 | GROUND_INST: instantiating (3) with all_29_1, all_29_2, simplifying with (8),
% 14.06/2.78 | (10), (11) gives:
% 14.06/2.78 | (13) incident_o(all_29_1, all_29_2)
% 14.06/2.78 |
% 14.06/2.78 | GROUND_INST: instantiating (3) with all_29_0, all_29_2, simplifying with (9),
% 14.06/2.78 | (10), (12) gives:
% 14.06/2.78 | (14) incident_o(all_29_0, all_29_2)
% 14.06/2.78 |
% 14.06/2.78 | GROUND_INST: instantiating (4) with all_29_0, all_29_2, all_29_1, simplifying
% 14.06/2.78 | with (9), (10), (11), (12), (13) gives:
% 14.06/2.78 | (15) all_29_0 = all_29_1 | ordered_by(all_29_2, all_29_0, all_29_1)
% 14.06/2.78 |
% 14.06/2.78 | GROUND_INST: instantiating (4) with all_29_1, all_29_2, all_29_0, simplifying
% 14.06/2.78 | with (8), (10), (11), (12), (14) gives:
% 14.06/2.78 | (16) all_29_0 = all_29_1 | ordered_by(all_29_2, all_29_1, all_29_0)
% 14.06/2.78 |
% 14.06/2.78 | BETA: splitting (15) gives:
% 14.06/2.78 |
% 14.06/2.78 | Case 1:
% 14.06/2.78 | |
% 14.06/2.78 | | (17) ordered_by(all_29_2, all_29_0, all_29_1)
% 14.06/2.78 | |
% 14.06/2.78 | | BETA: splitting (16) gives:
% 14.06/2.78 | |
% 14.06/2.78 | | Case 1:
% 14.06/2.78 | | |
% 14.06/2.78 | | | (18) ordered_by(all_29_2, all_29_1, all_29_0)
% 14.06/2.79 | | |
% 14.06/2.79 | | | GROUND_INST: instantiating (2) with all_29_2, all_29_1, all_29_0,
% 14.06/2.79 | | | all_29_1, simplifying with (10), (11), (12), (17), (18)
% 14.06/2.79 | | | gives:
% 14.06/2.79 | | | (19) between_o(all_29_2, all_29_1, all_29_0, all_29_1)
% 14.06/2.79 | | |
% 14.06/2.79 | | | GROUND_INST: instantiating (5) with all_29_1, all_29_0, all_29_1,
% 14.06/2.79 | | | all_29_2, simplifying with (10), (11), (12), (19) gives:
% 14.06/2.79 | | | (20) ? [v0: $i] : ($i(v0) & between_c(v0, all_29_1, all_29_0,
% 14.06/2.79 | | | all_29_1) & ! [v1: $i] : ( ~ $i(v1) | ~ incident_o(v1,
% 14.06/2.79 | | | all_29_2) | incident_c(v1, v0)) & ! [v1: $i] : ( ~ $i(v1) |
% 14.06/2.79 | | | ~ incident_c(v1, v0) | incident_o(v1, all_29_2)))
% 14.06/2.79 | | |
% 14.06/2.79 | | | DELTA: instantiating (20) with fresh symbol all_76_0 gives:
% 14.06/2.79 | | | (21) $i(all_76_0) & between_c(all_76_0, all_29_1, all_29_0, all_29_1) &
% 14.06/2.79 | | | ! [v0: $i] : ( ~ $i(v0) | ~ incident_o(v0, all_29_2) |
% 14.06/2.79 | | | incident_c(v0, all_76_0)) & ! [v0: $i] : ( ~ $i(v0) | ~
% 14.06/2.79 | | | incident_c(v0, all_76_0) | incident_o(v0, all_29_2))
% 14.06/2.79 | | |
% 14.06/2.79 | | | ALPHA: (21) implies:
% 14.06/2.79 | | | (22) between_c(all_76_0, all_29_1, all_29_0, all_29_1)
% 14.06/2.79 | | | (23) $i(all_76_0)
% 14.06/2.79 | | |
% 14.06/2.79 | | | GROUND_INST: instantiating (1) with all_76_0, all_29_1, all_29_0,
% 14.06/2.79 | | | simplifying with (11), (12), (22), (23) gives:
% 14.06/2.79 | | | (24) $false
% 14.06/2.79 | | |
% 14.06/2.79 | | | CLOSE: (24) is inconsistent.
% 14.06/2.79 | | |
% 14.06/2.79 | | Case 2:
% 14.06/2.79 | | |
% 14.06/2.79 | | | (25) all_29_0 = all_29_1
% 14.06/2.79 | | |
% 14.06/2.79 | | | REDUCE: (7), (25) imply:
% 14.06/2.79 | | | (26) $false
% 14.06/2.79 | | |
% 14.06/2.79 | | | CLOSE: (26) is inconsistent.
% 14.06/2.79 | | |
% 14.06/2.79 | | End of split
% 14.06/2.79 | |
% 14.06/2.79 | Case 2:
% 14.06/2.79 | |
% 14.06/2.79 | | (27) all_29_0 = all_29_1
% 14.06/2.79 | |
% 14.06/2.79 | | REDUCE: (7), (27) imply:
% 14.06/2.79 | | (28) $false
% 14.06/2.79 | |
% 14.06/2.79 | | CLOSE: (28) is inconsistent.
% 14.06/2.79 | |
% 14.06/2.79 | End of split
% 14.06/2.79 |
% 14.06/2.79 End of proof
% 14.06/2.79 % SZS output end Proof for theBenchmark
% 14.06/2.79
% 14.06/2.79 2186ms
%------------------------------------------------------------------------------