TSTP Solution File: COL060-3 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : COL060-3 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n017.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 00:35:59 EDT 2022
% Result : Unsatisfiable 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : COL060-3 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.07/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue May 31 15:26:56 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 2634: Facts:
% 0.13/0.35 2634: Id : 2, {_}:
% 0.13/0.35 apply (apply (apply b ?2) ?3) ?4 =>= apply ?2 (apply ?3 ?4)
% 0.13/0.35 [4, 3, 2] by b_definition ?2 ?3 ?4
% 0.13/0.35 2634: Id : 3, {_}:
% 0.13/0.35 apply (apply t ?6) ?7 =>= apply ?7 ?6
% 0.13/0.35 [7, 6] by t_definition ?6 ?7
% 0.13/0.35 2634: Goal:
% 0.13/0.35 2634: Id : 1, {_}:
% 0.13/0.35 apply
% 0.13/0.35 (apply
% 0.13/0.35 (apply (apply (apply b (apply (apply b (apply t b)) b)) t) x) y)
% 0.13/0.35 z
% 0.13/0.35 =>=
% 0.13/0.35 apply y (apply x z)
% 0.13/0.35 [] by prove_q_combinator
% 0.13/0.35 Statistics :
% 0.13/0.35 Max weight : 17
% 0.13/0.35 Found proof, 0.001353s
% 0.13/0.35 % SZS status Unsatisfiable for theBenchmark.p
% 0.13/0.35 % SZS output start CNFRefutation for theBenchmark.p
% 0.13/0.35 Statistics :
% 0.13/0.35 Max weight : 17
% 0.13/0.35 Found proof, 0.001259s
% 0.13/0.35 Id : 3, {_}: apply (apply t ?6) ?7 =>= apply ?7 ?6 [7, 6] by t_definition ?6 ?7
% 0.13/0.35 % SZS status Unsatisfiable for theBenchmark.p
% 0.13/0.35 % SZS output start CNFRefutation for theBenchmark.p
% 0.13/0.35 Id : 3, {_}: apply (apply t ?6) ?7 =>= apply ?7 ?6 [7, 6] by t_definition ?6 ?7
% 0.13/0.35 Statistics :
% 0.13/0.35 Max weight : 17
% 0.13/0.35 Found proof, 0.000619s
% 0.13/0.35 % SZS status Unsatisfiable for theBenchmark.p
% 0.13/0.35 % SZS output start CNFRefutation for theBenchmark.p
% 0.13/0.35 Id : 2, {_}: apply (apply (apply b ?2) ?3) ?4 =>= apply ?2 (apply ?3 ?4) [4, 3, 2] by b_definition ?2 ?3 ?4
% 0.13/0.35 Id : 3, {_}: apply (apply t ?6) ?7 =>= apply ?7 ?6 [7, 6] by t_definition ?6 ?7
% 0.13/0.35 Id : 13, {_}: apply y (apply x z) =?= apply y (apply x z) [] by Demod 12 with 2 at 2
% 0.13/0.35 Id : 2, {_}: apply (apply (apply b ?2) ?3) ?4 =>= apply ?2 (apply ?3 ?4) [4, 3, 2] by b_definition ?2 ?3 ?4
% 0.13/0.35 Id : 12, {_}: apply (apply (apply b y) x) z =>= apply y (apply x z) [] by Demod 11 with 3 at 1,2
% 0.13/0.35 Id : 13, {_}: apply y (apply x z) === apply y (apply x z) [] by Demod 12 with 2 at 2
% 0.13/0.35 Id : 12, {_}: apply (apply (apply b y) x) z =>= apply y (apply x z) [] by Demod 11 with 3 at 1,2
% 0.13/0.35 Id : 11, {_}: apply (apply (apply t x) (apply b y)) z =>= apply y (apply x z) [] by Demod 10 with 2 at 1,2
% 0.13/0.35 Id : 2, {_}: apply (apply (apply b ?2) ?3) ?4 =>= apply ?2 (apply ?3 ?4) [4, 3, 2] by b_definition ?2 ?3 ?4
% 0.13/0.35 Id : 13, {_}: apply y (apply x z) === apply y (apply x z) [] by Demod 12 with 2 at 2
% 0.13/0.35 Id : 11, {_}: apply (apply (apply t x) (apply b y)) z =>= apply y (apply x z) [] by Demod 10 with 2 at 1,2
% 0.13/0.35 Id : 12, {_}: apply (apply (apply b y) x) z =>= apply y (apply x z) [] by Demod 11 with 3 at 1,2
% 0.13/0.35 Id : 10, {_}: apply (apply (apply (apply b (apply t x)) b) y) z =>= apply y (apply x z) [] by Demod 7 with 3 at 1,1,2
% 0.13/0.35 Id : 10, {_}: apply (apply (apply (apply b (apply t x)) b) y) z =>= apply y (apply x z) [] by Demod 9 with 3 at 1,1,2
% 0.13/0.35 Id : 7, {_}: apply (apply (apply (apply t b) (apply b (apply t x))) y) z =>= apply y (apply x z) [] by Demod 6 with 2 at 1,1,2
% 0.13/0.35 Id : 11, {_}: apply (apply (apply t x) (apply b y)) z =>= apply y (apply x z) [] by Demod 10 with 2 at 1,2
% 0.13/0.35 Id : 9, {_}: apply (apply (apply (apply t b) (apply b (apply t x))) y) z =>= apply y (apply x z) [] by Demod 8 with 2 at 1,1,2
% 0.13/0.35 Id : 10, {_}: apply (apply (apply (apply b (apply t x)) b) y) z =>= apply y (apply x z) [] by Demod 7 with 3 at 1,1,2
% 0.13/0.35 Id : 6, {_}: apply (apply (apply (apply (apply b (apply t b)) b) (apply t x)) y) z =>= apply y (apply x z) [] by Demod 1 with 2 at 1,1,2
% 0.13/0.35 Id : 7, {_}: apply (apply (apply (apply t b) (apply b (apply t x))) y) z =>= apply y (apply x z) [] by Demod 6 with 2 at 1,1,2
% 0.13/0.35 Id : 1, {_}: apply (apply (apply (apply (apply b (apply (apply b (apply t b)) b)) t) x) y) z =>= apply y (apply x z) [] by prove_q_combinator
% 0.13/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.35 Id : 8, {_}: apply (apply (apply (apply (apply b (apply t b)) b) (apply t x)) y) z =>= apply y (apply x z) [] by Demod 1 with 2 at 1,1,2
% 0.13/0.35 2635: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.002364 using kbo
% 0.13/0.35 Id : 1, {_}: apply (apply (apply (apply (apply b (apply (apply b (apply t b)) b)) t) x) y) z =>= apply y (apply x z) [] by prove_q_combinator
% 0.13/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.35 Id : 6, {_}: apply (apply (apply (apply (apply b (apply t b)) b) (apply t x)) y) z =>= apply y (apply x z) [] by Demod 1 with 2 at 1,1,2
% 0.13/0.35 2637: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.002268 using nrkbo
% 0.13/0.35 Id : 1, {_}: apply (apply (apply (apply (apply b (apply (apply b (apply t b)) b)) t) x) y) z =>= apply y (apply x z) [] by prove_q_combinator
% 0.13/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.35 2634: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.002584 using nrkbo
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