TSTP Solution File: COL009-1 by Matita---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : COL009-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n028.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 00:35:53 EDT 2022
% Result : Unsatisfiable 4.03s 1.35s
% Output : CNFRefutation 4.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL009-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.33 % Computer : n028.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 15:21:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 16193: Facts:
% 0.12/0.33 16193: Id : 2, {_}:
% 0.12/0.33 apply (apply (apply b ?3) ?4) ?5 =>= apply ?3 (apply ?4 ?5)
% 0.12/0.33 [5, 4, 3] by b_definition ?3 ?4 ?5
% 0.12/0.33 16193: Id : 3, {_}:
% 0.12/0.33 apply (apply l2 ?7) ?8 =?= apply ?8 (apply ?7 ?7)
% 0.12/0.33 [8, 7] by l2_definition ?7 ?8
% 0.12/0.33 16193: Goal:
% 0.12/0.33 16193: Id : 1, {_}: ?1 =<= apply combinator ?1 [1] by prove_fixed_point ?1
% 4.03/1.35 Goal subsumed
% 4.03/1.35 Statistics :
% 4.03/1.35 Max weight : 33
% 4.03/1.35 Found proof, 1.012302s
% 4.03/1.35 % SZS status Unsatisfiable for theBenchmark.p
% 4.03/1.35 % SZS output start CNFRefutation for theBenchmark.p
% 4.03/1.35 Id : 9, {_}: apply (apply l2 ?30) ?31 =?= apply ?31 (apply ?30 ?30) [31, 30] by l2_definition ?30 ?31
% 4.03/1.35 Id : 2, {_}: apply (apply (apply b ?3) ?4) ?5 =>= apply ?3 (apply ?4 ?5) [5, 4, 3] by b_definition ?3 ?4 ?5
% 4.03/1.35 Id : 3, {_}: apply (apply l2 ?7) ?8 =?= apply ?8 (apply ?7 ?7) [8, 7] by l2_definition ?7 ?8
% 4.03/1.35 Id : 10, {_}: apply (apply l2 (apply (apply b ?33) ?34)) ?35 =<= apply ?35 (apply ?33 (apply ?34 (apply (apply b ?33) ?34))) [35, 34, 33] by Super 9 with 2 at 2,3
% 4.03/1.35 Id : 481, {_}: apply (apply l2 (apply ?1256 (apply ?1257 (apply (apply b ?1256) ?1257)))) ?1258 =<= apply ?1258 (apply (apply l2 (apply (apply b ?1256) ?1257)) (apply ?1256 (apply ?1257 (apply (apply b ?1256) ?1257)))) [1258, 1257, 1256] by Super 3 with 10 at 2,3
% 4.03/1.35 Id : 554, {_}: apply (apply (apply l2 (apply (apply b ?1256) ?1257)) l2) ?1258 =<= apply ?1258 (apply (apply l2 (apply (apply b ?1256) ?1257)) (apply ?1256 (apply ?1257 (apply (apply b ?1256) ?1257)))) [1258, 1257, 1256] by Demod 481 with 10 at 1,2
% 4.03/1.35 Id : 555, {_}: apply (apply (apply l2 (apply (apply b ?1256) ?1257)) l2) ?1258 =<= apply ?1258 (apply (apply l2 (apply (apply b ?1256) ?1257)) (apply l2 (apply (apply b ?1256) ?1257))) [1258, 1257, 1256] by Demod 554 with 10 at 2,3
% 4.03/1.35 Id : 556, {_}: apply (apply (apply l2 (apply (apply b ?1256) ?1257)) l2) ?1258 =>= apply (apply l2 (apply l2 (apply (apply b ?1256) ?1257))) ?1258 [1258, 1257, 1256] by Demod 555 with 3 at 3
% 4.03/1.35 Id : 10691, {_}: apply (apply l2 (apply l2 (apply (apply b (apply b combinator)) l2))) combinator === apply (apply l2 (apply l2 (apply (apply b (apply b combinator)) l2))) combinator [] by Super 10690 with 3 at 2
% 4.03/1.35 Id : 10690, {_}: apply ?18819 (apply (apply l2 (apply (apply b (apply b ?18819)) ?18820)) (apply ?18820 (apply (apply b (apply b ?18819)) ?18820))) =>= apply (apply l2 (apply l2 (apply (apply b (apply b ?18819)) ?18820))) combinator [18820, 18819] by Demod 10689 with 556 at 3
% 4.03/1.35 Id : 10689, {_}: apply ?18819 (apply (apply l2 (apply (apply b (apply b ?18819)) ?18820)) (apply ?18820 (apply (apply b (apply b ?18819)) ?18820))) =>= apply (apply (apply l2 (apply (apply b (apply b ?18819)) ?18820)) l2) combinator [18820, 18819] by Demod 10662 with 10 at 2,2
% 4.03/1.35 Id : 10662, {_}: apply ?18819 (apply (apply ?18820 (apply (apply b (apply b ?18819)) ?18820)) (apply (apply b ?18819) (apply ?18820 (apply (apply b (apply b ?18819)) ?18820)))) =>= apply (apply (apply l2 (apply (apply b (apply b ?18819)) ?18820)) l2) combinator [18820, 18819] by Super 10631 with 10 at 1,2
% 4.03/1.35 Id : 10631, {_}: apply ?203 (apply ?204 (apply (apply b ?203) ?204)) =?= apply (apply l2 (apply (apply b ?203) ?204)) combinator [204, 203] by Demod 67 with 10 at 3
% 4.03/1.35 Id : 67, {_}: apply ?203 (apply ?204 (apply (apply b ?203) ?204)) =<= apply combinator (apply ?203 (apply ?204 (apply (apply b ?203) ?204))) [204, 203] by Demod 61 with 2 at 2
% 4.03/1.35 Id : 61, {_}: apply (apply (apply b ?203) ?204) (apply (apply b ?203) ?204) =>= apply combinator (apply ?203 (apply ?204 (apply (apply b ?203) ?204))) [204, 203] by Super 58 with 2 at 2,3
% 4.03/1.35 Id : 58, {_}: apply ?197 ?197 =<= apply combinator (apply ?197 ?197) [197] by Super 18 with 3 at 3
% 4.03/1.35 Id : 18, {_}: apply ?59 ?59 =?= apply (apply l2 ?59) combinator [59] by Super 1 with 3 at 3
% 4.03/1.35 Id : 1, {_}: ?1 =<= apply combinator ?1 [1] by prove_fixed_point ?1
% 4.03/1.35 % SZS output end CNFRefutation for theBenchmark.p
% 4.03/1.35 16193: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.990503 using nrkbo
%------------------------------------------------------------------------------