TSTP Solution File: GEO579+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : GEO579+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n006.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 23:23:45 EDT 2023
% Result : Theorem 233.41s 32.16s
% Output : Proof 233.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO579+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 21:37:51 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.60 ________ _____
% 0.20/0.60 ___ __ \_________(_)________________________________
% 0.20/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.60
% 0.20/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.60 (2023-06-19)
% 0.20/0.60
% 0.20/0.60 (c) Philipp Rümmer, 2009-2023
% 0.20/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.60 Amanda Stjerna.
% 0.20/0.60 Free software under BSD-3-Clause.
% 0.20/0.60
% 0.20/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.60
% 0.20/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.20/0.61 Running up to 7 provers in parallel.
% 0.63/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.63/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.63/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.63/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.63/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.63/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.63/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 5.25/1.42 Prover 4: Preprocessing ...
% 5.25/1.42 Prover 1: Preprocessing ...
% 5.46/1.46 Prover 2: Preprocessing ...
% 5.46/1.46 Prover 6: Preprocessing ...
% 5.46/1.47 Prover 3: Preprocessing ...
% 5.46/1.48 Prover 5: Preprocessing ...
% 5.46/1.48 Prover 0: Preprocessing ...
% 9.97/2.11 Prover 5: Proving ...
% 9.97/2.11 Prover 2: Proving ...
% 11.08/2.24 Prover 1: Warning: ignoring some quantifiers
% 11.63/2.27 Prover 6: Proving ...
% 11.95/2.31 Prover 3: Warning: ignoring some quantifiers
% 11.95/2.36 Prover 3: Constructing countermodel ...
% 11.95/2.36 Prover 1: Constructing countermodel ...
% 12.45/2.46 Prover 0: Proving ...
% 12.45/2.47 Prover 4: Warning: ignoring some quantifiers
% 13.67/2.55 Prover 4: Constructing countermodel ...
% 73.22/10.36 Prover 2: stopped
% 73.65/10.38 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 74.70/10.53 Prover 7: Preprocessing ...
% 74.86/10.64 Prover 7: Warning: ignoring some quantifiers
% 74.86/10.65 Prover 7: Constructing countermodel ...
% 100.58/13.97 Prover 5: stopped
% 100.75/13.99 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 101.58/14.16 Prover 8: Preprocessing ...
% 103.71/14.42 Prover 8: Warning: ignoring some quantifiers
% 103.71/14.43 Prover 8: Constructing countermodel ...
% 115.60/15.97 Prover 1: stopped
% 115.60/15.98 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 116.72/16.11 Prover 9: Preprocessing ...
% 118.74/16.36 Prover 9: Warning: ignoring some quantifiers
% 118.74/16.41 Prover 9: Constructing countermodel ...
% 129.45/17.88 Prover 6: stopped
% 129.81/17.89 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 130.82/18.03 Prover 10: Preprocessing ...
% 131.10/18.07 Prover 10: Warning: ignoring some quantifiers
% 131.10/18.09 Prover 10: Constructing countermodel ...
% 202.59/27.96 Prover 4: stopped
% 202.59/27.97 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 203.22/28.06 Prover 11: Preprocessing ...
% 205.52/28.33 Prover 11: Warning: ignoring some quantifiers
% 205.52/28.34 Prover 11: Constructing countermodel ...
% 227.21/31.28 Prover 7: stopped
% 227.21/31.29 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391
% 227.56/31.33 Prover 12: Preprocessing ...
% 229.28/31.54 Prover 12: Proving ...
% 233.01/32.03 Prover 10: Found proof (size 17)
% 233.01/32.03 Prover 10: proved (14134ms)
% 233.01/32.03 Prover 12: stopped
% 233.01/32.03 Prover 3: stopped
% 233.01/32.03 Prover 11: stopped
% 233.01/32.04 Prover 8: stopped
% 233.01/32.04 Prover 9: stopped
% 233.41/32.16 Prover 0: stopped
% 233.41/32.16
% 233.41/32.16 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 233.41/32.16
% 233.41/32.16 % SZS output start Proof for theBenchmark
% 233.41/32.17 Assumptions after simplification:
% 233.41/32.17 ---------------------------------
% 233.41/32.17
% 233.41/32.17 (exemplo6GDDFULL416041)
% 233.41/32.18 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5:
% 233.41/32.18 $i] : ? [v6: $i] : ($i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 233.41/32.18 $i(v0) & eqangle(v3, v2, v2, v0, v3, v2, v2, v1) & eqangle(v3, v1, v1, v2,
% 233.41/32.18 v3, v1, v1, v0) & eqangle(v3, v0, v0, v1, v3, v0, v0, v2) & perp(v6, v1,
% 233.41/32.18 v0, v3) & perp(v5, v3, v1, v2) & perp(v4, v3, v0, v2) & coll(v6, v0, v3) &
% 233.41/32.18 coll(v5, v1, v2) & coll(v4, v0, v2) & ~ coll(v6, v4, v5))
% 233.41/32.18
% 233.41/32.18 (ruleD1)
% 233.41/32.18 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 233.41/32.18 ~ coll(v0, v1, v2) | coll(v0, v2, v1))
% 233.41/32.18
% 233.41/32.18 (ruleD3)
% 233.41/32.18 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2)
% 233.41/32.18 | ~ $i(v1) | ~ $i(v0) | ~ coll(v0, v1, v3) | ~ coll(v0, v1, v2) |
% 233.41/32.18 coll(v2, v3, v0))
% 233.41/32.18
% 233.41/32.18 Further assumptions not needed in the proof:
% 233.41/32.18 --------------------------------------------
% 233.41/32.18 ruleD10, ruleD11, ruleD12, ruleD13, ruleD14, ruleD15, ruleD16, ruleD17, ruleD18,
% 233.41/32.18 ruleD19, ruleD2, ruleD20, ruleD21, ruleD22, ruleD23, ruleD24, ruleD25, ruleD26,
% 233.41/32.18 ruleD27, ruleD28, ruleD29, ruleD30, ruleD31, ruleD32, ruleD33, ruleD34, ruleD35,
% 233.41/32.18 ruleD36, ruleD37, ruleD38, ruleD39, ruleD4, ruleD40, ruleD41, ruleD42a,
% 233.41/32.18 ruleD42b, ruleD43, ruleD44, ruleD45, ruleD46, ruleD47, ruleD48, ruleD49, ruleD5,
% 233.41/32.18 ruleD50, ruleD51, ruleD52, ruleD53, ruleD54, ruleD55, ruleD56, ruleD57, ruleD58,
% 233.41/32.18 ruleD59, ruleD6, ruleD60, ruleD61, ruleD62, ruleD63, ruleD64, ruleD65, ruleD66,
% 233.41/32.18 ruleD67, ruleD68, ruleD69, ruleD7, ruleD70, ruleD71, ruleD72, ruleD73, ruleD74,
% 233.41/32.18 ruleD75, ruleD8, ruleD9, ruleX1, ruleX10, ruleX11, ruleX12, ruleX13, ruleX14,
% 233.41/32.18 ruleX15, ruleX16, ruleX17, ruleX18, ruleX2, ruleX3, ruleX4, ruleX5, ruleX6,
% 233.41/32.18 ruleX7, ruleX8, ruleX9
% 233.41/32.18
% 233.41/32.18 Those formulas are unsatisfiable:
% 233.41/32.18 ---------------------------------
% 233.41/32.18
% 233.41/32.18 Begin of proof
% 233.41/32.18 |
% 233.41/32.18 | DELTA: instantiating (exemplo6GDDFULL416041) with fresh symbols all_97_0,
% 233.41/32.18 | all_97_1, all_97_2, all_97_3, all_97_4, all_97_5, all_97_6 gives:
% 233.41/32.18 | (1) $i(all_97_0) & $i(all_97_1) & $i(all_97_2) & $i(all_97_3) &
% 233.41/32.18 | $i(all_97_4) & $i(all_97_5) & $i(all_97_6) & eqangle(all_97_3,
% 233.41/32.18 | all_97_4, all_97_4, all_97_6, all_97_3, all_97_4, all_97_4, all_97_5)
% 233.41/32.18 | & eqangle(all_97_3, all_97_5, all_97_5, all_97_4, all_97_3, all_97_5,
% 233.41/32.18 | all_97_5, all_97_6) & eqangle(all_97_3, all_97_6, all_97_6, all_97_5,
% 233.41/32.18 | all_97_3, all_97_6, all_97_6, all_97_4) & perp(all_97_0, all_97_5,
% 233.41/32.18 | all_97_6, all_97_3) & perp(all_97_1, all_97_3, all_97_5, all_97_4) &
% 233.41/32.18 | perp(all_97_2, all_97_3, all_97_6, all_97_4) & coll(all_97_0, all_97_6,
% 233.41/32.18 | all_97_3) & coll(all_97_1, all_97_5, all_97_4) & coll(all_97_2,
% 233.41/32.18 | all_97_6, all_97_4) & ~ coll(all_97_0, all_97_2, all_97_1)
% 233.62/32.18 |
% 233.62/32.19 | ALPHA: (1) implies:
% 233.62/32.19 | (2) ~ coll(all_97_0, all_97_2, all_97_1)
% 233.62/32.19 | (3) coll(all_97_2, all_97_6, all_97_4)
% 233.62/32.19 | (4) coll(all_97_1, all_97_5, all_97_4)
% 233.62/32.19 | (5) coll(all_97_0, all_97_6, all_97_3)
% 233.62/32.19 | (6) $i(all_97_6)
% 233.62/32.19 | (7) $i(all_97_5)
% 233.62/32.19 | (8) $i(all_97_4)
% 233.62/32.19 | (9) $i(all_97_3)
% 233.62/32.19 | (10) $i(all_97_2)
% 233.62/32.19 | (11) $i(all_97_1)
% 233.62/32.19 | (12) $i(all_97_0)
% 233.62/32.19 |
% 233.62/32.19 | GROUND_INST: instantiating (ruleD3) with all_97_2, all_97_6, all_97_4,
% 233.62/32.19 | all_97_4, simplifying with (3), (6), (8), (10) gives:
% 233.62/32.19 | (13) coll(all_97_4, all_97_4, all_97_2)
% 233.62/32.19 |
% 233.62/32.19 | GROUND_INST: instantiating (ruleD1) with all_97_2, all_97_6, all_97_4,
% 233.62/32.19 | simplifying with (3), (6), (8), (10) gives:
% 233.62/32.19 | (14) coll(all_97_2, all_97_4, all_97_6)
% 233.62/32.19 |
% 233.62/32.19 | GROUND_INST: instantiating (ruleD3) with all_97_1, all_97_5, all_97_4,
% 233.62/32.19 | all_97_4, simplifying with (4), (7), (8), (11) gives:
% 233.62/32.19 | (15) coll(all_97_4, all_97_4, all_97_1)
% 233.62/32.19 |
% 233.62/32.19 | GROUND_INST: instantiating (ruleD1) with all_97_0, all_97_6, all_97_3,
% 233.62/32.19 | simplifying with (5), (6), (9), (12) gives:
% 233.62/32.19 | (16) coll(all_97_0, all_97_3, all_97_6)
% 233.62/32.19 |
% 233.62/32.19 | GROUND_INST: instantiating (ruleD3) with all_97_4, all_97_4, all_97_1,
% 233.62/32.19 | all_97_2, simplifying with (8), (10), (11), (13), (15) gives:
% 233.62/32.19 | (17) coll(all_97_1, all_97_2, all_97_4)
% 233.62/32.19 |
% 233.62/32.19 | GROUND_INST: instantiating (ruleD3) with all_97_2, all_97_4, all_97_6,
% 233.62/32.19 | all_97_6, simplifying with (6), (8), (10), (14) gives:
% 233.62/32.19 | (18) coll(all_97_6, all_97_6, all_97_2)
% 233.62/32.19 |
% 233.62/32.19 | GROUND_INST: instantiating (ruleD3) with all_97_0, all_97_3, all_97_6,
% 233.62/32.19 | all_97_6, simplifying with (6), (9), (12), (16) gives:
% 233.62/32.19 | (19) coll(all_97_6, all_97_6, all_97_0)
% 233.62/32.19 |
% 233.62/32.19 | GROUND_INST: instantiating (ruleD3) with all_97_6, all_97_6, all_97_0,
% 233.62/32.19 | all_97_2, simplifying with (6), (10), (12), (18), (19) gives:
% 233.62/32.19 | (20) coll(all_97_0, all_97_2, all_97_6)
% 233.62/32.19 |
% 233.62/32.19 | GROUND_INST: instantiating (ruleD1) with all_97_1, all_97_2, all_97_4,
% 233.62/32.19 | simplifying with (8), (10), (11), (17) gives:
% 233.62/32.19 | (21) coll(all_97_1, all_97_4, all_97_2)
% 233.62/32.19 |
% 233.62/32.19 | GROUND_INST: instantiating (ruleD3) with all_97_1, all_97_4, all_97_2,
% 233.62/32.19 | all_97_2, simplifying with (8), (10), (11), (21) gives:
% 233.62/32.19 | (22) coll(all_97_2, all_97_2, all_97_1)
% 233.62/32.19 |
% 233.62/32.20 | GROUND_INST: instantiating (ruleD1) with all_97_0, all_97_2, all_97_6,
% 233.62/32.20 | simplifying with (6), (10), (12), (20) gives:
% 233.62/32.20 | (23) coll(all_97_0, all_97_6, all_97_2)
% 233.62/32.20 |
% 233.62/32.20 | GROUND_INST: instantiating (ruleD3) with all_97_0, all_97_6, all_97_2,
% 233.62/32.20 | all_97_2, simplifying with (6), (10), (12), (23) gives:
% 233.62/32.20 | (24) coll(all_97_2, all_97_2, all_97_0)
% 233.62/32.20 |
% 233.62/32.20 | GROUND_INST: instantiating (ruleD3) with all_97_2, all_97_2, all_97_0,
% 233.62/32.20 | all_97_1, simplifying with (10), (11), (12), (22), (24) gives:
% 233.62/32.20 | (25) coll(all_97_0, all_97_1, all_97_2)
% 233.62/32.20 |
% 233.62/32.20 | GROUND_INST: instantiating (ruleD1) with all_97_0, all_97_1, all_97_2,
% 233.62/32.20 | simplifying with (2), (10), (11), (12), (25) gives:
% 233.62/32.20 | (26) $false
% 233.62/32.20 |
% 233.62/32.20 | CLOSE: (26) is inconsistent.
% 233.62/32.20 |
% 233.62/32.20 End of proof
% 233.62/32.20 % SZS output end Proof for theBenchmark
% 233.62/32.20
% 233.62/32.20 31595ms
%------------------------------------------------------------------------------