TSTP Solution File: COL019-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : COL019-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n027.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 00:35:54 EDT 2022
% Result : Unsatisfiable 1.86s 0.77s
% Output : CNFRefutation 1.86s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : COL019-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.33 % Computer : n027.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 14:57:02 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 15979: Facts:
% 0.12/0.33 15979: Id : 2, {_}:
% 0.12/0.33 apply (apply (apply s ?3) ?4) ?5
% 0.12/0.33 =?=
% 0.12/0.33 apply (apply ?3 ?5) (apply ?4 ?5)
% 0.12/0.33 [5, 4, 3] by s_definition ?3 ?4 ?5
% 0.12/0.33 15979: Id : 3, {_}:
% 0.12/0.33 apply (apply (apply b ?7) ?8) ?9 =>= apply ?7 (apply ?8 ?9)
% 0.12/0.33 [9, 8, 7] by b_definition ?7 ?8 ?9
% 0.12/0.33 15979: Id : 4, {_}:
% 0.12/0.33 apply (apply t ?11) ?12 =>= apply ?12 ?11
% 0.12/0.33 [12, 11] by t_definition ?11 ?12
% 0.12/0.33 15979: Goal:
% 0.12/0.33 15979: Id : 1, {_}: ?1 =<= apply combinator ?1 [1] by prove_fixed_point ?1
% 1.86/0.77 Goal subsumed
% 1.86/0.77 Statistics :
% 1.86/0.77 Max weight : 34
% 1.86/0.77 Found proof, 0.436791s
% 1.86/0.77 % SZS status Unsatisfiable for theBenchmark.p
% 1.86/0.77 % SZS output start CNFRefutation for theBenchmark.p
% 1.86/0.77 Id : 2, {_}: apply (apply (apply s ?3) ?4) ?5 =?= apply (apply ?3 ?5) (apply ?4 ?5) [5, 4, 3] by s_definition ?3 ?4 ?5
% 1.86/0.77 Id : 4, {_}: apply (apply t ?11) ?12 =>= apply ?12 ?11 [12, 11] by t_definition ?11 ?12
% 1.86/0.77 Id : 3, {_}: apply (apply (apply b ?7) ?8) ?9 =>= apply ?7 (apply ?8 ?9) [9, 8, 7] by b_definition ?7 ?8 ?9
% 1.86/0.77 Id : 26, {_}: apply (apply (apply s t) ?108) ?109 =?= apply (apply ?108 ?109) ?109 [109, 108] by Super 2 with 4 at 3
% 1.86/0.77 Id : 45, {_}: apply (apply (apply s t) t) ?175 =?= apply ?175 ?175 [175] by Super 4 with 26 at 2
% 1.86/0.77 Id : 264, {_}: apply (apply (apply s t) (apply s t)) t =>= apply t t [] by Super 26 with 45 at 2
% 1.86/0.77 Id : 299, {_}: apply (apply t t) (apply (apply s t) t) =>= apply t t [] by Demod 264 with 2 at 2
% 1.86/0.77 Id : 300, {_}: apply (apply (apply s t) t) t =>= apply t t [] by Demod 299 with 4 at 2
% 1.86/0.77 Id : 301, {_}: apply (apply t t) (apply t t) =>= apply t t [] by Demod 300 with 2 at 2
% 1.86/0.77 Id : 302, {_}: apply (apply t t) t =>= apply t t [] by Demod 301 with 4 at 2
% 1.86/0.77 Id : 303, {_}: apply t t =?= apply t t [] by Demod 302 with 4 at 2
% 1.86/0.77 Id : 390, {_}: apply (apply t t) ?1379 =>= apply ?1379 t [1379] by Super 4 with 303 at 1,2
% 1.86/0.77 Id : 485, {_}: apply ?1379 t =?= apply ?1379 t [1379] by Demod 390 with 4 at 2
% 1.86/0.77 Id : 527, {_}: apply (apply (apply b ?1530) ?1531) t =>= apply ?1530 (apply ?1531 t) [1531, 1530] by Super 3 with 485 at 2
% 1.86/0.77 Id : 612, {_}: apply ?1530 (apply ?1531 t) =?= apply ?1530 (apply ?1531 t) [1531, 1530] by Demod 527 with 3 at 2
% 1.86/0.77 Id : 4594, {_}: apply combinator (apply (apply (apply s t) (apply b combinator)) (apply (apply s t) (apply b combinator))) =?= apply combinator (apply (apply (apply s t) (apply b combinator)) (apply (apply s t) (apply b combinator))) [] by Super 4575 with 3 at 2
% 1.86/0.77 Id : 4575, {_}: apply (apply ?10442 ?10443) ?10443 =?= apply combinator (apply (apply (apply s t) ?10442) ?10443) [10443, 10442] by Super 4542 with 26 at 2,3
% 1.86/0.77 Id : 4542, {_}: apply ?10277 ?10278 =<= apply combinator (apply ?10277 ?10278) [10278, 10277] by Demod 4541 with 4 at 2
% 1.86/0.77 Id : 4541, {_}: apply (apply t ?10278) ?10277 =>= apply combinator (apply ?10277 ?10278) [10277, 10278] by Demod 4540 with 4 at 2,3
% 1.86/0.77 Id : 4540, {_}: apply (apply t ?10278) ?10277 =<= apply combinator (apply (apply t ?10278) ?10277) [10277, 10278] by Demod 4513 with 4 at 2
% 1.86/0.77 Id : 4513, {_}: apply (apply t ?10277) (apply t ?10278) =>= apply combinator (apply (apply t ?10278) ?10277) [10278, 10277] by Super 4460 with 4 at 2,3
% 1.86/0.77 Id : 4460, {_}: apply ?10133 (apply t ?10134) =<= apply combinator (apply ?10133 (apply t ?10134)) [10134, 10133] by Demod 4419 with 4 at 2,2
% 1.86/0.77 Id : 4419, {_}: apply ?10133 (apply (apply t ?10134) t) =?= apply combinator (apply ?10133 (apply t ?10134)) [10134, 10133] by Super 3799 with 4 at 2,2,3
% 1.86/0.77 Id : 3799, {_}: apply ?8281 (apply ?8282 t) =<= apply combinator (apply ?8281 (apply ?8282 t)) [8282, 8281] by Demod 3779 with 3 at 2
% 1.86/0.77 Id : 3779, {_}: apply (apply (apply b ?8281) ?8282) t =>= apply combinator (apply ?8281 (apply ?8282 t)) [8282, 8281] by Super 3772 with 3 at 2,3
% 1.86/0.77 Id : 3772, {_}: apply ?8268 t =<= apply combinator (apply ?8268 t) [8268] by Super 1 with 612 at 3
% 1.86/0.77 Id : 1, {_}: ?1 =<= apply combinator ?1 [1] by prove_fixed_point ?1
% 1.86/0.77 % SZS output end CNFRefutation for theBenchmark.p
% 1.86/0.77 15980: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.43813 using kbo
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