TSTP Solution File: COL062-3 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : COL062-3 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n024.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 00:36:00 EDT 2022
% Result : Unsatisfiable 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL062-3 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.03/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.33 % Computer : n024.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 11:26:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 10152: Facts:
% 0.12/0.33 10152: Id : 2, {_}:
% 0.12/0.33 apply (apply (apply b ?2) ?3) ?4 =>= apply ?2 (apply ?3 ?4)
% 0.12/0.33 [4, 3, 2] by b_definition ?2 ?3 ?4
% 0.12/0.33 10152: Id : 3, {_}:
% 0.12/0.33 apply (apply t ?6) ?7 =>= apply ?7 ?6
% 0.12/0.33 [7, 6] by t_definition ?6 ?7
% 0.12/0.33 10152: Goal:
% 0.12/0.33 10152: Id : 1, {_}:
% 0.12/0.33 apply
% 0.12/0.33 (apply
% 0.12/0.33 (apply
% 0.12/0.33 (apply
% 0.12/0.33 (apply b (apply (apply b (apply t (apply (apply b b) t))) b))
% 0.12/0.33 t) x) y) z
% 0.12/0.33 =>=
% 0.12/0.33 apply (apply x z) y
% 0.12/0.33 [] by prove_c_combinator
% 0.12/0.34 Statistics :
% 0.12/0.34 Max weight : 21
% 0.12/0.34 Statistics :
% 0.12/0.34 Max weight : 21
% 0.12/0.34 Found proof, 0.001318s
% 0.12/0.34 % SZS status Unsatisfiable for theBenchmark.p
% 0.12/0.34 Found proof, 0.001443s
% 0.12/0.34 % SZS output start CNFRefutation for theBenchmark.p
% 0.12/0.34 % SZS status Unsatisfiable for theBenchmark.p
% 0.12/0.34 % SZS output start CNFRefutation for theBenchmark.p
% 0.12/0.34 Id : 3, {_}: apply (apply t ?6) ?7 =>= apply ?7 ?6 [7, 6] by t_definition ?6 ?7
% 0.12/0.34 Statistics :
% 0.12/0.34 Max weight : 21
% 0.12/0.34 Id : 2, {_}: apply (apply (apply b ?2) ?3) ?4 =>= apply ?2 (apply ?3 ?4) [4, 3, 2] by b_definition ?2 ?3 ?4
% 0.12/0.34 Found proof, 0.000761s
% 0.12/0.34 Id : 3, {_}: apply (apply t ?6) ?7 =>= apply ?7 ?6 [7, 6] by t_definition ?6 ?7
% 0.12/0.34 % SZS status Unsatisfiable for theBenchmark.p
% 0.12/0.34 % SZS output start CNFRefutation for theBenchmark.p
% 0.12/0.34 Id : 15, {_}: apply (apply x z) y =?= apply (apply x z) y [] by Demod 14 with 3 at 2
% 0.12/0.34 Id : 2, {_}: apply (apply (apply b ?2) ?3) ?4 =>= apply ?2 (apply ?3 ?4) [4, 3, 2] by b_definition ?2 ?3 ?4
% 0.12/0.34 Id : 3, {_}: apply (apply t ?6) ?7 =>= apply ?7 ?6 [7, 6] by t_definition ?6 ?7
% 0.12/0.34 Id : 15, {_}: apply (apply x z) y === apply (apply x z) y [] by Demod 14 with 3 at 2
% 0.12/0.34 Id : 14, {_}: apply (apply t y) (apply x z) =>= apply (apply x z) y [] by Demod 13 with 2 at 2
% 0.12/0.34 Id : 2, {_}: apply (apply (apply b ?2) ?3) ?4 =>= apply ?2 (apply ?3 ?4) [4, 3, 2] by b_definition ?2 ?3 ?4
% 0.12/0.34 Id : 14, {_}: apply (apply t y) (apply x z) =>= apply (apply x z) y [] by Demod 13 with 2 at 2
% 0.12/0.34 Id : 15, {_}: apply (apply x z) y === apply (apply x z) y [] by Demod 14 with 3 at 2
% 0.12/0.34 Id : 13, {_}: apply (apply (apply b (apply t y)) x) z =>= apply (apply x z) y [] by Demod 12 with 2 at 1,1,2
% 0.12/0.34 Id : 12, {_}: apply (apply (apply (apply (apply b b) t) y) x) z =>= apply (apply x z) y [] by Demod 11 with 3 at 1,2
% 0.12/0.34 Id : 14, {_}: apply (apply t y) (apply x z) =>= apply (apply x z) y [] by Demod 13 with 2 at 2
% 0.12/0.34 Id : 13, {_}: apply (apply (apply b (apply t y)) x) z =>= apply (apply x z) y [] by Demod 12 with 2 at 1,1,2
% 0.12/0.34 Id : 13, {_}: apply (apply (apply b (apply t y)) x) z =>= apply (apply x z) y [] by Demod 12 with 2 at 1,1,2
% 0.12/0.34 Id : 12, {_}: apply (apply (apply (apply (apply b b) t) y) x) z =>= apply (apply x z) y [] by Demod 11 with 3 at 1,2
% 0.12/0.34 Id : 11, {_}: apply (apply (apply t x) (apply (apply (apply b b) t) y)) z =>= apply (apply x z) y [] by Demod 10 with 2 at 1,2
% 0.12/0.34 Id : 12, {_}: apply (apply (apply (apply (apply b b) t) y) x) z =>= apply (apply x z) y [] by Demod 11 with 3 at 1,2
% 0.12/0.34 Id : 11, {_}: apply (apply (apply t x) (apply (apply (apply b b) t) y)) z =>= apply (apply x z) y [] by Demod 10 with 2 at 1,2
% 0.12/0.34 Id : 10, {_}: apply (apply (apply (apply b (apply t x)) (apply (apply b b) t)) y) z =>= apply (apply x z) y [] by Demod 7 with 3 at 1,1,2
% 0.12/0.34 Id : 11, {_}: apply (apply (apply t x) (apply (apply (apply b b) t) y)) z =>= apply (apply x z) y [] by Demod 10 with 2 at 1,2
% 0.12/0.34 Id : 10, {_}: apply (apply (apply (apply b (apply t x)) (apply (apply b b) t)) y) z =>= apply (apply x z) y [] by Demod 9 with 3 at 1,1,2
% 0.12/0.34 Id : 7, {_}: apply (apply (apply (apply t (apply (apply b b) t)) (apply b (apply t x))) y) z =>= apply (apply x z) y [] by Demod 6 with 2 at 1,1,2
% 0.12/0.34 Id : 10, {_}: apply (apply (apply (apply b (apply t x)) (apply (apply b b) t)) y) z =>= apply (apply x z) y [] by Demod 7 with 3 at 1,1,2
% 0.12/0.34 Id : 9, {_}: apply (apply (apply (apply t (apply (apply b b) t)) (apply b (apply t x))) y) z =>= apply (apply x z) y [] by Demod 8 with 2 at 1,1,2
% 0.12/0.34 Id : 6, {_}: apply (apply (apply (apply (apply b (apply t (apply (apply b b) t))) b) (apply t x)) y) z =>= apply (apply x z) y [] by Demod 1 with 2 at 1,1,2
% 0.12/0.34 Id : 7, {_}: apply (apply (apply (apply t (apply (apply b b) t)) (apply b (apply t x))) y) z =>= apply (apply x z) y [] by Demod 6 with 2 at 1,1,2
% 0.12/0.34 Id : 8, {_}: apply (apply (apply (apply (apply b (apply t (apply (apply b b) t))) b) (apply t x)) y) z =>= apply (apply x z) y [] by Demod 1 with 2 at 1,1,2
% 0.12/0.34 Id : 1, {_}: apply (apply (apply (apply (apply b (apply (apply b (apply t (apply (apply b b) t))) b)) t) x) y) z =>= apply (apply x z) y [] by prove_c_combinator
% 0.12/0.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.34 10153: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.002577 using kbo
% 0.12/0.34 Id : 6, {_}: apply (apply (apply (apply (apply b (apply t (apply (apply b b) t))) b) (apply t x)) y) z =>= apply (apply x z) y [] by Demod 1 with 2 at 1,1,2
% 0.12/0.34 Id : 1, {_}: apply (apply (apply (apply (apply b (apply (apply b (apply t (apply (apply b b) t))) b)) t) x) y) z =>= apply (apply x z) y [] by prove_c_combinator
% 0.12/0.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.34 10155: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.002496 using nrkbo
% 0.12/0.34 Id : 1, {_}: apply (apply (apply (apply (apply b (apply (apply b (apply t (apply (apply b b) t))) b)) t) x) y) z =>= apply (apply x z) y [] by prove_c_combinator
% 0.12/0.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.34 10152: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.002836 using nrkbo
%------------------------------------------------------------------------------