TSTP Solution File: COL075-2 by Matita---1.0
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% File : Matita---1.0
% Problem : COL075-2 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n025.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 00:36:03 EDT 2022
% Result : Unsatisfiable 0.12s 0.37s
% 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
% 0.07/0.12 % Problem : COL075-2 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.33 % Computer : n025.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 12:28:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 19031: Facts:
% 0.12/0.34 19031: Id : 2, {_}: apply (apply k ?3) ?4 =>= ?3 [4, 3] by k_definition ?3 ?4
% 0.12/0.34 19031: Id : 3, {_}:
% 0.12/0.34 apply (apply (apply abstraction ?6) ?7) ?8
% 0.12/0.34 =<=
% 0.12/0.34 apply (apply ?6 (apply k ?8)) (apply ?7 ?8)
% 0.12/0.34 [8, 7, 6] by abstraction ?6 ?7 ?8
% 0.12/0.34 19031: Goal:
% 0.12/0.34 19031: Id : 1, {_}:
% 0.12/0.34 apply (apply ?1 (b ?1)) (c ?1) =>= apply (b ?1) (b ?1)
% 0.12/0.34 [1] by prove_diagonal_combinator ?1
% 0.12/0.37 Goal subsumed
% 0.12/0.37 Statistics :
% 0.12/0.37 Max weight : 26
% 0.12/0.37 Found proof, 0.032476s
% 0.12/0.37 % SZS status Unsatisfiable for theBenchmark.p
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark.p
% 0.12/0.37 Id : 3, {_}: apply (apply (apply abstraction ?6) ?7) ?8 =<= apply (apply ?6 (apply k ?8)) (apply ?7 ?8) [8, 7, 6] by abstraction ?6 ?7 ?8
% 0.12/0.37 Id : 2, {_}: apply (apply k ?3) ?4 =>= ?3 [4, 3] by k_definition ?3 ?4
% 0.12/0.37 Id : 7, {_}: apply (apply (apply abstraction ?18) ?19) ?20 =<= apply (apply ?18 (apply k ?20)) (apply ?19 ?20) [20, 19, 18] by abstraction ?18 ?19 ?20
% 0.12/0.37 Id : 44, {_}: apply (apply (apply abstraction ?114) (apply k ?115)) ?116 =>= apply (apply ?114 (apply k ?116)) ?115 [116, 115, 114] by Super 7 with 2 at 2,3
% 0.12/0.37 Id : 45, {_}: apply (apply (apply (apply abstraction abstraction) k) ?118) ?119 =?= apply (apply (apply k ?118) (apply k ?119)) ?118 [119, 118] by Super 44 with 3 at 1,2
% 0.12/0.37 Id : 53, {_}: apply (apply (apply (apply abstraction abstraction) k) ?118) ?119 =?= apply ?118 ?118 [119, 118] by Demod 45 with 2 at 1,3
% 0.12/0.37 Id : 358, {_}: apply (b (apply (apply abstraction abstraction) k)) (b (apply (apply abstraction abstraction) k)) === apply (b (apply (apply abstraction abstraction) k)) (b (apply (apply abstraction abstraction) k)) [] by Super 1 with 53 at 2
% 0.12/0.37 Id : 1, {_}: apply (apply ?1 (b ?1)) (c ?1) =>= apply (b ?1) (b ?1) [1] by prove_diagonal_combinator ?1
% 0.12/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.37 19034: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.033432 using nrkbo
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