TSTP Solution File: COL033-1 by Matita---1.0
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% File : Matita---1.0
% Problem : COL033-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n017.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 00:35:55 EDT 2022
% Result : Unsatisfiable 0.12s 0.39s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COL033-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue May 31 05:12:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 7962: Facts:
% 0.12/0.34 7962: Id : 2, {_}:
% 0.12/0.34 apply (apply (apply b ?3) ?4) ?5 =>= apply ?3 (apply ?4 ?5)
% 0.12/0.34 [5, 4, 3] by b_definition ?3 ?4 ?5
% 0.12/0.34 7962: Id : 3, {_}:
% 0.12/0.34 apply (apply l ?7) ?8 =?= apply ?7 (apply ?8 ?8)
% 0.12/0.34 [8, 7] by l_definition ?7 ?8
% 0.12/0.34 7962: Id : 4, {_}: apply m ?10 =?= apply ?10 ?10 [10] by m_definition ?10
% 0.12/0.34 7962: Goal:
% 0.12/0.34 7962: Id : 1, {_}:
% 0.12/0.34 apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1))
% 0.12/0.34 [1] by prove_fixed_point ?1
% 0.12/0.39 Goal subsumed
% 0.12/0.39 Statistics :
% 0.12/0.39 Max weight : 34
% 0.12/0.39 Found proof, 0.052672s
% 0.12/0.39 % SZS status Unsatisfiable for theBenchmark.p
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark.p
% 0.12/0.39 Id : 3, {_}: apply (apply l ?7) ?8 =?= apply ?7 (apply ?8 ?8) [8, 7] by l_definition ?7 ?8
% 0.12/0.39 Id : 4, {_}: apply m ?10 =?= apply ?10 ?10 [10] by m_definition ?10
% 0.12/0.39 Id : 2, {_}: apply (apply (apply b ?3) ?4) ?5 =>= apply ?3 (apply ?4 ?5) [5, 4, 3] by b_definition ?3 ?4 ?5
% 0.12/0.39 Id : 24, {_}: apply (apply l ?75) ?76 =>= apply ?75 (apply m ?76) [76, 75] by Super 3 with 4 at 2,3
% 0.12/0.39 Id : 37, {_}: apply m (apply l ?101) =<= apply ?101 (apply m (apply l ?101)) [101] by Super 4 with 24 at 3
% 0.12/0.39 Id : 313, {_}: apply (f (apply (apply b m) l)) (apply m (apply l (f (apply (apply b m) l)))) === apply (f (apply (apply b m) l)) (apply m (apply l (f (apply (apply b m) l)))) [] by Super 8 with 37 at 2
% 0.12/0.39 Id : 8, {_}: apply ?20 (apply ?21 (f (apply (apply b ?20) ?21))) =<= apply (f (apply (apply b ?20) ?21)) (apply ?20 (apply ?21 (f (apply (apply b ?20) ?21)))) [21, 20] by Demod 7 with 2 at 2
% 0.12/0.39 Id : 7, {_}: apply (apply (apply b ?20) ?21) (f (apply (apply b ?20) ?21)) =<= apply (f (apply (apply b ?20) ?21)) (apply ?20 (apply ?21 (f (apply (apply b ?20) ?21)))) [21, 20] by Super 1 with 2 at 2,3
% 0.12/0.39 Id : 1, {_}: apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1)) [1] by prove_fixed_point ?1
% 0.12/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.39 7964: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.053925 using lpo
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