TSTP Solution File: COL003-13 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : COL003-13 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n032.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 : 600s
% DateTime : Fri Jul 15 00:35:50 EDT 2022
% Result : Unsatisfiable 113.19s 28.61s
% Output : CNFRefutation 113.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : COL003-13 : TPTP v8.1.0. Released v2.1.0.
% 0.00/0.11 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Tue May 31 14:31:43 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.10/0.30 21316: Facts:
% 0.10/0.30 21316: Id : 2, {_}:
% 0.10/0.30 apply (apply (apply b ?2) ?3) ?4 =>= apply ?2 (apply ?3 ?4)
% 0.10/0.30 [4, 3, 2] by b_definition ?2 ?3 ?4
% 0.10/0.30 21316: Id : 3, {_}:
% 0.10/0.30 apply (apply w ?6) ?7 =?= apply (apply ?6 ?7) ?7
% 0.10/0.30 [7, 6] by w_definition ?6 ?7
% 0.10/0.30 21316: Id : 4, {_}:
% 0.10/0.30 strong_fixed_point
% 0.10/0.30 =<=
% 0.10/0.30 apply (apply b (apply w w)) (apply (apply b (apply (apply b w) b)) b)
% 0.10/0.30 [] by strong_fixed_point
% 0.10/0.30 21316: Goal:
% 0.10/0.30 21316: Id : 1, {_}:
% 0.10/0.30 apply strong_fixed_point fixed_pt
% 0.10/0.30 =<=
% 0.10/0.30 apply fixed_pt (apply strong_fixed_point fixed_pt)
% 0.10/0.30 [] by prove_strong_fixed_point
% 113.19/28.61 Statistics :
% 113.19/28.61 Max weight : 33
% 113.19/28.61 Found proof, 28.308302s
% 113.19/28.61 % SZS status Unsatisfiable for theBenchmark.p
% 113.19/28.61 % SZS output start CNFRefutation for theBenchmark.p
% 113.19/28.61 Id : 4, {_}: strong_fixed_point =<= apply (apply b (apply w w)) (apply (apply b (apply (apply b w) b)) b) [] by strong_fixed_point
% 113.19/28.61 Id : 9, {_}: apply (apply w ?24) ?25 =?= apply (apply ?24 ?25) ?25 [25, 24] by w_definition ?24 ?25
% 113.19/28.61 Id : 2, {_}: apply (apply (apply b ?2) ?3) ?4 =>= apply ?2 (apply ?3 ?4) [4, 3, 2] by b_definition ?2 ?3 ?4
% 113.19/28.61 Id : 3, {_}: apply (apply w ?6) ?7 =?= apply (apply ?6 ?7) ?7 [7, 6] by w_definition ?6 ?7
% 113.19/28.61 Id : 382, {_}: apply (apply w (apply (apply b ?618) ?619)) ?620 =?= apply (apply ?618 (apply ?619 ?620)) ?620 [620, 619, 618] by Super 9 with 2 at 1,3
% 113.19/28.61 Id : 431, {_}: apply (apply w (apply (apply b ?796) (apply ?797 ?798))) ?798 =>= apply (apply ?796 (apply (apply w ?797) ?798)) ?798 [798, 797, 796] by Super 382 with 3 at 2,1,2
% 113.19/28.61 Id : 392, {_}: apply (apply w (apply (apply b ?658) (apply ?659 ?660))) ?660 =>= apply (apply ?658 (apply (apply w ?659) ?660)) ?660 [660, 659, 658] by Super 382 with 3 at 2,1,3
% 113.19/28.61 Id : 12540, {_}: apply (apply ?12131 (apply (apply w ?12132) ?12133)) ?12133 =?= apply (apply ?12131 (apply (apply w ?12132) ?12133)) ?12133 [12133, 12132, 12131] by Demod 431 with 392 at 2
% 113.19/28.61 Id : 8, {_}: apply (apply w (apply b ?21)) ?22 =?= apply ?21 (apply ?22 ?22) [22, 21] by Super 2 with 3 at 2
% 113.19/28.61 Id : 12653, {_}: apply (apply ?12477 (apply (apply w ?12478) (apply w ?12478))) (apply w ?12478) =?= apply (apply (apply w (apply b ?12477)) (apply w ?12478)) (apply w ?12478) [12478, 12477] by Super 12540 with 8 at 1,3
% 113.19/28.61 Id : 13031, {_}: apply (apply ?12477 (apply (apply w ?12478) (apply w ?12478))) (apply w ?12478) =>= apply (apply w (apply w (apply b ?12477))) (apply w ?12478) [12478, 12477] by Demod 12653 with 3 at 3
% 113.19/28.61 Id : 86179, {_}: apply (apply w (apply w (apply b (apply b ?70601)))) (apply w ?70602) =?= apply ?70601 (apply (apply (apply w ?70602) (apply w ?70602)) (apply w ?70602)) [70602, 70601] by Super 2 with 13031 at 2
% 113.19/28.61 Id : 86503, {_}: apply (apply w (apply w (apply b (apply b ?70601)))) (apply w ?70602) =?= apply ?70601 (apply (apply w (apply w ?70602)) (apply w ?70602)) [70602, 70601] by Demod 86179 with 3 at 2,3
% 113.19/28.61 Id : 86504, {_}: apply (apply w (apply w (apply b (apply b ?70601)))) (apply w ?70602) =>= apply ?70601 (apply (apply w w) (apply w ?70602)) [70602, 70601] by Demod 86503 with 3 at 2,3
% 113.19/28.61 Id : 124994, {_}: apply (apply w w) (apply w (apply b (apply b ?94273))) =<= apply ?94273 (apply (apply w w) (apply w (apply b (apply b ?94273)))) [94273] by Super 3 with 86504 at 3
% 113.19/28.61 Id : 20, {_}: apply strong_fixed_point ?50 =<= apply (apply w w) (apply (apply (apply b (apply (apply b w) b)) b) ?50) [50] by Super 2 with 4 at 1,2
% 113.19/28.61 Id : 24, {_}: apply strong_fixed_point ?50 =<= apply (apply w w) (apply (apply (apply b w) b) (apply b ?50)) [50] by Demod 20 with 2 at 2,3
% 113.19/28.61 Id : 25, {_}: apply strong_fixed_point ?50 =<= apply (apply w w) (apply w (apply b (apply b ?50))) [50] by Demod 24 with 2 at 2,3
% 113.19/28.61 Id : 125184, {_}: apply strong_fixed_point ?94273 =<= apply ?94273 (apply (apply w w) (apply w (apply b (apply b ?94273)))) [94273] by Demod 124994 with 25 at 2
% 113.19/28.61 Id : 125185, {_}: apply strong_fixed_point ?94273 =<= apply ?94273 (apply strong_fixed_point ?94273) [94273] by Demod 125184 with 25 at 2,3
% 113.19/28.61 Id : 126322, {_}: apply strong_fixed_point fixed_pt =?= apply strong_fixed_point fixed_pt [] by Demod 1 with 125185 at 3
% 113.19/28.61 Id : 1, {_}: apply strong_fixed_point fixed_pt =<= apply fixed_pt (apply strong_fixed_point fixed_pt) [] by prove_strong_fixed_point
% 113.19/28.61 % SZS output end CNFRefutation for theBenchmark.p
% 113.19/28.61 21317: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 28.301543 using kbo
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