TSTP Solution File: COL075-2 by Matita---1.0

View Problem - Process Solution

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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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