TSTP Solution File: GEO211+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : GEO211+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n001.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 23:22:21 EDT 2023
% Result : Theorem 5.77s 1.53s
% Output : Proof 6.45s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO211+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n001.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 22:24:08 EDT 2023
% 0.13/0.35 % 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/sandbox2/benchmark/theBenchmark.p ...
% 0.21/0.62 Running up to 7 provers in parallel.
% 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 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 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 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 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
% 2.86/1.11 Prover 1: Preprocessing ...
% 2.86/1.11 Prover 4: Preprocessing ...
% 2.86/1.14 Prover 0: Preprocessing ...
% 2.86/1.14 Prover 2: Preprocessing ...
% 2.86/1.14 Prover 6: Preprocessing ...
% 2.86/1.14 Prover 3: Preprocessing ...
% 2.86/1.14 Prover 5: Preprocessing ...
% 5.02/1.42 Prover 5: Proving ...
% 5.02/1.44 Prover 2: Proving ...
% 5.02/1.45 Prover 3: Constructing countermodel ...
% 5.02/1.45 Prover 6: Constructing countermodel ...
% 5.02/1.47 Prover 1: Constructing countermodel ...
% 5.77/1.53 Prover 3: proved (891ms)
% 5.77/1.53
% 5.77/1.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.77/1.53
% 5.77/1.53 Prover 6: proved (890ms)
% 5.77/1.53
% 5.77/1.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.77/1.53
% 5.77/1.53 Prover 2: stopped
% 5.77/1.53 Prover 5: stopped
% 5.77/1.54 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 5.77/1.54 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 5.77/1.54 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 5.77/1.54 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 5.77/1.57 Prover 1: Found proof (size 8)
% 5.77/1.57 Prover 1: proved (945ms)
% 5.77/1.58 Prover 8: Preprocessing ...
% 5.77/1.58 Prover 10: Preprocessing ...
% 5.77/1.59 Prover 11: Preprocessing ...
% 5.77/1.59 Prover 10: stopped
% 5.77/1.59 Prover 7: Preprocessing ...
% 6.45/1.61 Prover 7: stopped
% 6.45/1.64 Prover 11: stopped
% 6.45/1.67 Prover 8: Warning: ignoring some quantifiers
% 6.45/1.68 Prover 4: Constructing countermodel ...
% 6.45/1.68 Prover 8: Constructing countermodel ...
% 6.45/1.68 Prover 8: stopped
% 6.45/1.69 Prover 0: Proving ...
% 6.45/1.69 Prover 4: stopped
% 6.45/1.70 Prover 0: stopped
% 6.45/1.70
% 6.45/1.70 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.45/1.70
% 6.45/1.70 % SZS output start Proof for theBenchmark
% 6.45/1.71 Assumptions after simplification:
% 6.45/1.71 ---------------------------------
% 6.45/1.71
% 6.45/1.71 (apart3)
% 6.45/1.73 ! [v0: $i] : ( ~ (convergent_lines(v0, v0) = 0) | ~ $i(v0))
% 6.45/1.73
% 6.45/1.73 (con)
% 6.45/1.74 ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & unorthogonal_lines(v0, v0) = v1 &
% 6.45/1.74 $i(v0))
% 6.45/1.74
% 6.45/1.74 (occu1)
% 6.45/1.74 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 6.45/1.74 (unorthogonal_lines(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) |
% 6.45/1.74 convergent_lines(v0, v1) = 0)
% 6.45/1.74
% 6.45/1.74 Further assumptions not needed in the proof:
% 6.45/1.74 --------------------------------------------
% 6.45/1.74 apart1, apart2, apart4, apart5, ax6, ceq1, ceq2, ceq3, ci1, ci2, ci3, ci4, cp1,
% 6.45/1.74 cp2, cu1, cup1, oac1, ooc1, ooc2, ouo1
% 6.45/1.74
% 6.45/1.74 Those formulas are unsatisfiable:
% 6.45/1.74 ---------------------------------
% 6.45/1.74
% 6.45/1.74 Begin of proof
% 6.45/1.74 |
% 6.45/1.74 | DELTA: instantiating (con) with fresh symbols all_25_0, all_25_1 gives:
% 6.45/1.74 | (1) ~ (all_25_0 = 0) & unorthogonal_lines(all_25_1, all_25_1) = all_25_0 &
% 6.45/1.74 | $i(all_25_1)
% 6.45/1.74 |
% 6.45/1.74 | ALPHA: (1) implies:
% 6.45/1.74 | (2) ~ (all_25_0 = 0)
% 6.45/1.74 | (3) $i(all_25_1)
% 6.45/1.74 | (4) unorthogonal_lines(all_25_1, all_25_1) = all_25_0
% 6.45/1.74 |
% 6.45/1.74 | GROUND_INST: instantiating (occu1) with all_25_1, all_25_1, all_25_0,
% 6.45/1.74 | simplifying with (3), (4) gives:
% 6.45/1.74 | (5) all_25_0 = 0 | convergent_lines(all_25_1, all_25_1) = 0
% 6.45/1.74 |
% 6.45/1.74 | BETA: splitting (5) gives:
% 6.45/1.74 |
% 6.45/1.74 | Case 1:
% 6.45/1.74 | |
% 6.45/1.75 | | (6) convergent_lines(all_25_1, all_25_1) = 0
% 6.45/1.75 | |
% 6.45/1.75 | | GROUND_INST: instantiating (apart3) with all_25_1, simplifying with (3), (6)
% 6.45/1.75 | | gives:
% 6.45/1.75 | | (7) $false
% 6.45/1.75 | |
% 6.45/1.75 | | CLOSE: (7) is inconsistent.
% 6.45/1.75 | |
% 6.45/1.75 | Case 2:
% 6.45/1.75 | |
% 6.45/1.75 | | (8) all_25_0 = 0
% 6.45/1.75 | |
% 6.45/1.75 | | REDUCE: (2), (8) imply:
% 6.45/1.75 | | (9) $false
% 6.45/1.75 | |
% 6.45/1.75 | | CLOSE: (9) is inconsistent.
% 6.45/1.75 | |
% 6.45/1.75 | End of split
% 6.45/1.75 |
% 6.45/1.75 End of proof
% 6.45/1.75 % SZS output end Proof for theBenchmark
% 6.45/1.75
% 6.45/1.75 1139ms
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