TSTP Solution File: GEO236+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : GEO236+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n027.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 23:22:38 EDT 2023
% Result : Theorem 7.84s 1.82s
% Output : Proof 10.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO236+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n027.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 22:43:53 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.60 ________ _____
% 0.20/0.61 ___ __ \_________(_)________________________________
% 0.20/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.61
% 0.20/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.61 (2023-06-19)
% 0.20/0.61
% 0.20/0.61 (c) Philipp Rümmer, 2009-2023
% 0.20/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.61 Amanda Stjerna.
% 0.20/0.61 Free software under BSD-3-Clause.
% 0.20/0.61
% 0.20/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.61
% 0.20/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.20/0.62 Running up to 7 provers in parallel.
% 0.20/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.86/1.19 Prover 4: Preprocessing ...
% 2.86/1.19 Prover 1: Preprocessing ...
% 3.48/1.22 Prover 6: Preprocessing ...
% 3.48/1.22 Prover 2: Preprocessing ...
% 3.48/1.22 Prover 5: Preprocessing ...
% 3.48/1.22 Prover 0: Preprocessing ...
% 3.48/1.24 Prover 3: Preprocessing ...
% 6.69/1.65 Prover 5: Proving ...
% 7.11/1.75 Prover 1: Constructing countermodel ...
% 7.54/1.77 Prover 6: Constructing countermodel ...
% 7.54/1.78 Prover 2: Proving ...
% 7.54/1.79 Prover 3: Constructing countermodel ...
% 7.84/1.82 Prover 5: proved (1188ms)
% 7.84/1.82
% 7.84/1.82 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.84/1.82
% 7.84/1.82 Prover 3: stopped
% 7.84/1.82 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 7.84/1.83 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 7.84/1.84 Prover 6: stopped
% 7.84/1.84 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 8.17/1.85 Prover 2: stopped
% 8.17/1.85 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 8.17/1.91 Prover 7: Preprocessing ...
% 8.17/1.94 Prover 10: Preprocessing ...
% 8.17/1.95 Prover 1: Found proof (size 5)
% 8.17/1.95 Prover 1: proved (1325ms)
% 8.17/1.95 Prover 7: stopped
% 8.17/1.96 Prover 11: Preprocessing ...
% 8.17/1.96 Prover 8: Preprocessing ...
% 9.02/2.00 Prover 10: stopped
% 9.72/2.09 Prover 11: stopped
% 9.72/2.11 Prover 8: Warning: ignoring some quantifiers
% 10.11/2.12 Prover 4: Constructing countermodel ...
% 10.11/2.13 Prover 8: Constructing countermodel ...
% 10.11/2.14 Prover 8: stopped
% 10.11/2.14 Prover 4: stopped
% 10.35/2.19 Prover 0: Proving ...
% 10.35/2.20 Prover 0: stopped
% 10.35/2.20
% 10.35/2.20 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.35/2.20
% 10.35/2.20 % SZS output start Proof for theBenchmark
% 10.35/2.21 Assumptions after simplification:
% 10.35/2.21 ---------------------------------
% 10.35/2.21
% 10.35/2.21 (con)
% 10.35/2.23 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: int] : ? [v5:
% 10.35/2.23 int] : ( ~ (v5 = 0) & ~ (v4 = 0) & distinct_lines(v1, v2) = v5 &
% 10.35/2.23 unequally_directed_lines(v1, v2) = v4 & reverse_line(v2) = v3 &
% 10.35/2.23 left_apart_point(v0, v3) = 0 & left_apart_point(v0, v1) = 0 & $i(v3) &
% 10.35/2.23 $i(v2) & $i(v1) & $i(v0))
% 10.35/2.23
% 10.35/2.23 (oag10)
% 10.35/2.23 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (reverse_line(v1) = v2) | ~
% 10.35/2.23 (left_apart_point(v0, v2) = 0) | ~ $i(v1) | ~ $i(v0)) & ! [v0: $i] : !
% 10.35/2.23 [v1: $i] : ( ~ (left_apart_point(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0))
% 10.35/2.23
% 10.35/2.23 Further assumptions not needed in the proof:
% 10.35/2.23 --------------------------------------------
% 10.35/2.23 apt_def, bet_def, bf_def, con_def, div_def, oag1, oag11, oag2, oag3, oag4, oag5,
% 10.35/2.23 oag6, oag7, oag8, oag9, oagco1, oagco10, oagco2, oagco3, oagco4, oagco5, oagco6,
% 10.35/2.23 oagco7, oagco8, oagco9, oagsub1, oagsub2, oagsub3, oaguc1, oaguc2
% 10.35/2.23
% 10.35/2.23 Those formulas are unsatisfiable:
% 10.35/2.23 ---------------------------------
% 10.35/2.23
% 10.35/2.23 Begin of proof
% 10.73/2.24 |
% 10.73/2.24 | ALPHA: (oag10) implies:
% 10.73/2.24 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (reverse_line(v1) = v2) |
% 10.73/2.24 | ~ (left_apart_point(v0, v2) = 0) | ~ $i(v1) | ~ $i(v0))
% 10.73/2.24 |
% 10.73/2.24 | DELTA: instantiating (con) with fresh symbols all_34_0, all_34_1, all_34_2,
% 10.73/2.24 | all_34_3, all_34_4, all_34_5 gives:
% 10.73/2.24 | (2) ~ (all_34_0 = 0) & ~ (all_34_1 = 0) & distinct_lines(all_34_4,
% 10.73/2.24 | all_34_3) = all_34_0 & unequally_directed_lines(all_34_4, all_34_3) =
% 10.73/2.24 | all_34_1 & reverse_line(all_34_3) = all_34_2 &
% 10.73/2.24 | left_apart_point(all_34_5, all_34_2) = 0 & left_apart_point(all_34_5,
% 10.73/2.24 | all_34_4) = 0 & $i(all_34_2) & $i(all_34_3) & $i(all_34_4) &
% 10.73/2.24 | $i(all_34_5)
% 10.73/2.24 |
% 10.73/2.24 | ALPHA: (2) implies:
% 10.73/2.24 | (3) $i(all_34_5)
% 10.73/2.24 | (4) $i(all_34_3)
% 10.73/2.24 | (5) left_apart_point(all_34_5, all_34_2) = 0
% 10.73/2.24 | (6) reverse_line(all_34_3) = all_34_2
% 10.73/2.24 |
% 10.73/2.24 | GROUND_INST: instantiating (1) with all_34_5, all_34_3, all_34_2, simplifying
% 10.73/2.24 | with (3), (4), (5), (6) gives:
% 10.73/2.24 | (7) $false
% 10.73/2.25 |
% 10.73/2.25 | CLOSE: (7) is inconsistent.
% 10.73/2.25 |
% 10.73/2.25 End of proof
% 10.73/2.25 % SZS output end Proof for theBenchmark
% 10.73/2.25
% 10.73/2.25 1640ms
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