TSTP Solution File: COL001-2 by Matita---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : COL001-2 : TPTP v8.1.0. Released v1.0.0.
% 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 00:35:50 EDT 2022
% Result : Unsatisfiable 1.30s 0.70s
% Output : CNFRefutation 1.65s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : COL001-2 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12 % 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 10:49:28 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 21199: Facts:
% 0.12/0.33 21199: 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 21199: Id : 3, {_}: apply (apply k ?7) ?8 =>= ?7 [8, 7] by k_definition ?7 ?8
% 0.12/0.33 21199: Id : 4, {_}:
% 0.12/0.33 apply (apply (apply b ?10) ?11) ?12 =>= apply ?10 (apply ?11 ?12)
% 0.12/0.33 [12, 11, 10] by b_definition ?10 ?11 ?12
% 0.12/0.33 21199: Id : 5, {_}: apply i ?14 =>= ?14 [14] by i_definition ?14
% 0.12/0.33 21199: Id : 6, {_}:
% 0.12/0.33 apply (apply (apply s (apply b ?16)) i)
% 0.12/0.33 (apply (apply s (apply b ?16)) i)
% 0.12/0.33 =<=
% 0.12/0.33 apply x
% 0.12/0.33 (apply (apply (apply s (apply b ?16)) i)
% 0.12/0.33 (apply (apply s (apply b ?16)) i))
% 0.12/0.33 [16] by sb_property ?16
% 0.12/0.33 21199: Goal:
% 0.12/0.33 21199: Id : 1, {_}: ?1 =<= apply combinator ?1 [1] by prove_fixed_point ?1
% 1.30/0.70 Goal subsumed
% 1.30/0.70 Statistics :
% 1.30/0.70 Max weight : 54
% 1.30/0.70 Found proof, 0.374201s
% 1.30/0.70 % SZS status Unsatisfiable for theBenchmark.p
% 1.30/0.70 % SZS output start CNFRefutation for theBenchmark.p
% 1.30/0.70 Id : 5, {_}: apply i ?14 =>= ?14 [14] by i_definition ?14
% 1.30/0.70 Id : 3, {_}: apply (apply k ?7) ?8 =>= ?7 [8, 7] by k_definition ?7 ?8
% 1.30/0.70 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
% 1.30/0.70 Id : 7, {_}: apply (apply (apply s ?18) ?19) ?20 =?= apply (apply ?18 ?20) (apply ?19 ?20) [20, 19, 18] by s_definition ?18 ?19 ?20
% 1.30/0.70 Id : 4, {_}: apply (apply (apply b ?10) ?11) ?12 =>= apply ?10 (apply ?11 ?12) [12, 11, 10] by b_definition ?10 ?11 ?12
% 1.30/0.70 Id : 373, {_}: apply (apply (apply s (apply (apply s ?1449) ?1450)) ?1451) ?1452 =?= apply (apply (apply ?1449 ?1452) (apply ?1450 ?1452)) (apply ?1451 ?1452) [1452, 1451, 1450, 1449] by Super 7 with 2 at 1,3
% 1.30/0.70 Id : 18, {_}: apply (apply (apply s k) ?68) ?69 =>= ?69 [69, 68] by Super 2 with 3 at 3
% 1.30/0.70 Id : 477, {_}: apply (apply (apply s (apply (apply s s) ?2013)) ?2014) k =>= apply ?2014 k [2014, 2013] by Super 373 with 18 at 2
% 1.30/0.70 Id : 506, {_}: apply (apply (apply (apply s s) ?2013) k) (apply ?2014 k) =>= apply ?2014 k [2014, 2013] by Demod 477 with 2 at 2
% 1.30/0.70 Id : 507, {_}: apply (apply (apply s k) (apply ?2013 k)) (apply ?2014 k) =>= apply ?2014 k [2014, 2013] by Demod 506 with 2 at 1,2
% 1.30/0.70 Id : 508, {_}: apply ?2014 k =?= apply ?2014 k [2014] by Demod 507 with 18 at 2
% 1.30/0.70 Id : 633, {_}: apply (apply (apply b ?2219) ?2220) k =>= apply ?2219 (apply ?2220 k) [2220, 2219] by Super 4 with 508 at 2
% 1.30/0.70 Id : 752, {_}: apply ?2219 (apply ?2220 k) =?= apply ?2219 (apply ?2220 k) [2220, 2219] by Demod 633 with 4 at 2
% 1.30/0.70 Id : 8, {_}: apply (apply (apply s ?22) (apply (apply s ?23) ?24)) ?25 =?= apply (apply ?22 ?25) (apply (apply ?23 ?25) (apply ?24 ?25)) [25, 24, 23, 22] by Super 7 with 2 at 2,3
% 1.30/0.70 Id : 3063, {_}: apply combinator (apply (apply (apply s (apply k combinator)) (apply (apply s (apply s (apply k combinator))) i)) (apply (apply s (apply s (apply k combinator))) i)) =?= apply combinator (apply (apply (apply s (apply k combinator)) (apply (apply s (apply s (apply k combinator))) i)) (apply (apply s (apply s (apply k combinator))) i)) [] by Super 3062 with 5 at 2,2,2
% 1.65/0.71 Id : 3062, {_}: apply combinator (apply (apply ?7659 ?7660) (apply ?7661 ?7660)) =?= apply combinator (apply (apply (apply s (apply k combinator)) (apply (apply s ?7659) ?7661)) ?7660) [7661, 7660, 7659] by Super 3038 with 3 at 1,2
% 1.65/0.71 Id : 3038, {_}: apply (apply ?7609 ?7610) (apply (apply ?7611 ?7610) (apply ?7612 ?7610)) =?= apply combinator (apply (apply (apply s ?7609) (apply (apply s ?7611) ?7612)) ?7610) [7612, 7611, 7610, 7609] by Super 2987 with 8 at 2,3
% 1.65/0.71 Id : 2987, {_}: apply ?7409 ?7410 =<= apply combinator (apply ?7409 ?7410) [7410, 7409] by Demod 2945 with 3 at 2,2
% 1.65/0.71 Id : 2945, {_}: apply ?7409 (apply (apply k ?7410) k) =>= apply combinator (apply ?7409 ?7410) [7410, 7409] by Super 2747 with 3 at 2,2,3
% 1.65/0.71 Id : 2747, {_}: apply ?7133 (apply ?7134 k) =<= apply combinator (apply ?7133 (apply ?7134 k)) [7134, 7133] by Demod 2723 with 4 at 2
% 1.65/0.71 Id : 2723, {_}: apply (apply (apply b ?7133) ?7134) k =>= apply combinator (apply ?7133 (apply ?7134 k)) [7134, 7133] by Super 2713 with 4 at 2,3
% 1.65/0.71 Id : 2713, {_}: apply ?7114 k =<= apply combinator (apply ?7114 k) [7114] by Super 1 with 752 at 3
% 1.65/0.71 Id : 1, {_}: ?1 =<= apply combinator ?1 [1] by prove_fixed_point ?1
% 1.65/0.71 % SZS output end CNFRefutation for theBenchmark.p
% 1.65/0.71 21200: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.365167 using kbo
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