TSTP Solution File: COL029-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : COL029-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n019.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 0.14s 0.35s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : COL029-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue May 31 15:29:10 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 7102: Facts:
% 0.14/0.35 7102: Id : 2, {_}:
% 0.14/0.35 apply (apply u ?3) ?4 =<= apply ?4 (apply (apply ?3 ?3) ?4)
% 0.14/0.35 [4, 3] by u_definition ?3 ?4
% 0.14/0.35 7102: Goal:
% 0.14/0.35 7102: Id : 1, {_}:
% 0.14/0.35 apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1))
% 0.14/0.35 [1] by prove_fixed_point ?1
% 0.14/0.35 Goal subsumed
% 0.14/0.35 Statistics :
% 0.14/0.35 Max weight : 26
% 0.14/0.35 Found proof, 0.001046s
% 0.14/0.35 % SZS status Unsatisfiable for theBenchmark.p
% 0.14/0.35 % SZS output start CNFRefutation for theBenchmark.p
% 0.14/0.35 Goal subsumed
% 0.14/0.35 Statistics :
% 0.14/0.35 Max weight : 26
% 0.14/0.35 Found proof, 0.000368s
% 0.14/0.35 Id : 2, {_}: apply (apply u ?3) ?4 =<= apply ?4 (apply (apply ?3 ?3) ?4) [4, 3] by u_definition ?3 ?4
% 0.14/0.35 % SZS status Unsatisfiable for theBenchmark.p
% 0.14/0.35 % SZS output start CNFRefutation for theBenchmark.p
% 0.14/0.35 Goal subsumed
% 0.14/0.35 Statistics :
% 0.14/0.35 Max weight : 26
% 0.14/0.35 Found proof, 0.001022s
% 0.14/0.35 Id : 2, {_}: apply (apply u ?3) ?4 =<= apply ?4 (apply (apply ?3 ?3) ?4) [4, 3] by u_definition ?3 ?4
% 0.14/0.35 % SZS status Unsatisfiable for theBenchmark.p
% 0.14/0.35 % SZS output start CNFRefutation for theBenchmark.p
% 0.14/0.35 Id : 6, {_}: apply (f (apply u u)) (apply (apply u u) (f (apply u u))) =?= apply (f (apply u u)) (apply (apply u u) (f (apply u u))) [] by Super 1 with 2 at 2
% 0.14/0.36 Id : 2, {_}: apply (apply u ?3) ?4 =<= apply ?4 (apply (apply ?3 ?3) ?4) [4, 3] by u_definition ?3 ?4
% 0.14/0.36 Id : 1, {_}: apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1)) [1] by prove_fixed_point ?1
% 0.14/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.36 7103: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.001613 using kbo
% 0.14/0.36 Id : 6, {_}: apply (f (apply u u)) (apply (apply u u) (f (apply u u))) === apply (f (apply u u)) (apply (apply u u) (f (apply u u))) [] by Super 1 with 2 at 2
% 0.14/0.36 Id : 6, {_}: apply (f (apply u u)) (apply (apply u u) (f (apply u u))) === apply (f (apply u u)) (apply (apply u u) (f (apply u u))) [] by Super 1 with 2 at 2
% 0.14/0.36 Id : 1, {_}: apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1)) [1] by prove_fixed_point ?1
% 0.14/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.36 Id : 1, {_}: apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1)) [1] by prove_fixed_point ?1
% 0.14/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.36 7102: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.00179 using nrkbo
% 0.14/0.36 7105: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.001562 using nrkbo
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