TSTP Solution File: COL031-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : COL031-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n029.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 0.13s 0.34s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL031-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue May 31 11:22:59 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.33 13026: Facts:
% 0.13/0.33 13026: Id : 2, {_}:
% 0.13/0.33 apply (apply l ?3) ?4 =?= apply ?3 (apply ?4 ?4)
% 0.13/0.33 [4, 3] by l_definition ?3 ?4
% 0.13/0.33 13026: Id : 3, {_}:
% 0.13/0.33 apply (apply o ?6) ?7 =?= apply ?7 (apply ?6 ?7)
% 0.13/0.33 [7, 6] by o_definition ?6 ?7
% 0.13/0.33 13026: Goal:
% 0.13/0.34 13026: Id : 1, {_}:
% 0.13/0.34 apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1))
% 0.13/0.34 [1] by prove_fixed_point ?1
% 0.13/0.34 Goal subsumed
% 0.13/0.34 Statistics :
% 0.13/0.34 Max weight : 36
% 0.13/0.34 Found proof, 0.001240s
% 0.13/0.34 % SZS status Unsatisfiable for theBenchmark.p
% 0.13/0.34 % SZS output start CNFRefutation for theBenchmark.p
% 0.13/0.34 Goal subsumed
% 0.13/0.34 Id : 2, {_}: apply (apply l ?3) ?4 =?= apply ?3 (apply ?4 ?4) [4, 3] by l_definition ?3 ?4
% 0.13/0.34 Goal subsumed
% 0.13/0.34 Statistics :
% 0.13/0.34 Max weight : 36
% 0.13/0.34 Statistics :
% 0.13/0.34 Max weight : 36
% 0.13/0.34 Found proof, 0.002153s
% 0.13/0.34 Id : 3, {_}: apply (apply o ?6) ?7 =?= apply ?7 (apply ?6 ?7) [7, 6] by o_definition ?6 ?7
% 0.13/0.34 Found proof, 0.002005s
% 0.13/0.34 % SZS status Unsatisfiable for theBenchmark.p
% 0.13/0.34 % SZS output start CNFRefutation for theBenchmark.p
% 0.13/0.34 % SZS status Unsatisfiable for theBenchmark.p
% 0.13/0.34 % SZS output start CNFRefutation for theBenchmark.p
% 0.13/0.34 Id : 2, {_}: apply (apply l ?3) ?4 =?= apply ?3 (apply ?4 ?4) [4, 3] by l_definition ?3 ?4
% 0.13/0.34 Id : 3, {_}: apply (apply o ?6) ?7 =?= apply ?7 (apply ?6 ?7) [7, 6] by o_definition ?6 ?7
% 0.13/0.34 Id : 2, {_}: apply (apply l ?3) ?4 =?= apply ?3 (apply ?4 ?4) [4, 3] by l_definition ?3 ?4
% 0.13/0.34 Id : 3, {_}: apply (apply o ?6) ?7 =?= apply ?7 (apply ?6 ?7) [7, 6] by o_definition ?6 ?7
% 0.13/0.34 Id : 22, {_}: apply (apply o (apply (apply l o) (apply l o))) (f (apply (apply l o) (apply l o))) === apply (apply o (apply (apply l o) (apply l o))) (f (apply (apply l o) (apply l o))) [] by Super 21 with 2 at 1,2
% 0.13/0.34 Id : 21, {_}: apply ?1 (f ?1) =<= apply (apply o ?1) (f ?1) [1] by Demod 1 with 3 at 3
% 0.13/0.34 Id : 1, {_}: apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1)) [1] by prove_fixed_point ?1
% 0.13/0.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.34 Id : 22, {_}: apply (apply o (apply (apply l o) (apply l o))) (f (apply (apply l o) (apply l o))) === apply (apply o (apply (apply l o) (apply l o))) (f (apply (apply l o) (apply l o))) [] by Super 21 with 2 at 1,2
% 0.13/0.34 13026: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.002789 using nrkbo
% 0.13/0.34 Id : 22, {_}: apply (apply o (apply (apply l o) (apply l o))) (f (apply (apply l o) (apply l o))) =?= apply (apply o (apply (apply l o) (apply l o))) (f (apply (apply l o) (apply l o))) [] by Super 21 with 2 at 1,2
% 0.13/0.34 Id : 21, {_}: apply ?1 (f ?1) =<= apply (apply o ?1) (f ?1) [1] by Demod 1 with 3 at 3
% 0.13/0.34 Id : 21, {_}: apply ?1 (f ?1) =<= apply (apply o ?1) (f ?1) [1] by Demod 1 with 3 at 3
% 0.13/0.34 Id : 1, {_}: apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1)) [1] by prove_fixed_point ?1
% 0.13/0.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.34 13027: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.002831 using kbo
% 0.13/0.34 Id : 1, {_}: apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1)) [1] by prove_fixed_point ?1
% 0.13/0.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.34 13029: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.002695 using nrkbo
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