%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : COL064-5 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n032.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 00:36:02 EDT 2022
% Result : Unsatisfiable 0.10s 0.30s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : COL064-5 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.00/0.10 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Tue May 31 14:43:43 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.10/0.30 31671: Facts:
% 0.10/0.30 31671: Id : 2, {_}:
% 0.10/0.30 apply (apply (apply b ?2) ?3) ?4 =>= apply ?2 (apply ?3 ?4)
% 0.10/0.30 [4, 3, 2] by b_definition ?2 ?3 ?4
% 0.10/0.30 31671: Id : 3, {_}:
% 0.10/0.30 apply (apply t ?6) ?7 =>= apply ?7 ?6
% 0.10/0.30 [7, 6] by t_definition ?6 ?7
% 0.10/0.30 31671: Goal:
% 0.10/0.30 31671: Id : 1, {_}:
% 0.10/0.30 apply
% 0.10/0.30 (apply
% 0.10/0.30 (apply
% 0.10/0.30 (apply
% 0.10/0.30 (apply b
% 0.10/0.30 (apply (apply b (apply t (apply (apply b b) t)))
% 0.10/0.30 (apply (apply b b) b))) t) x) y) z
% 0.10/0.30 =>=
% 0.10/0.30 apply (apply z x) y
% 0.10/0.30 [] by prove_v_combinator
% 0.10/0.30 Statistics :
% 0.10/0.30 Max weight : 25
% 0.10/0.30 Found proof, 0.001253s
% 0.10/0.30 % SZS status Unsatisfiable for theBenchmark.p
% 0.10/0.30 % SZS output start CNFRefutation for theBenchmark.p
% 0.10/0.30 Id : 3, {_}: apply (apply t ?6) ?7 =>= apply ?7 ?6 [7, 6] by t_definition ?6 ?7
% 0.10/0.30 Id : 2, {_}: apply (apply (apply b ?2) ?3) ?4 =>= apply ?2 (apply ?3 ?4) [4, 3, 2] by b_definition ?2 ?3 ?4
% 0.10/0.30 Id : 17, {_}: apply (apply z x) y =?= apply (apply z x) y [] by Demod 16 with 3 at 2
% 0.10/0.30 Id : 16, {_}: apply (apply t y) (apply z x) =>= apply (apply z x) y [] by Demod 15 with 2 at 2
% 0.10/0.30 Id : 15, {_}: apply (apply (apply b (apply t y)) z) x =>= apply (apply z x) y [] by Demod 14 with 2 at 1,1,2
% 0.10/0.30 Statistics :
% 0.10/0.30 Max weight : 25
% 0.10/0.30 Found proof, 0.000771s
% 0.10/0.30 % SZS status Unsatisfiable for theBenchmark.p
% 0.10/0.30 % SZS output start CNFRefutation for theBenchmark.p
% 0.10/0.30 Id : 3, {_}: apply (apply t ?6) ?7 =>= apply ?7 ?6 [7, 6] by t_definition ?6 ?7
% 0.10/0.30 Statistics :
% 0.10/0.30 Max weight : 25
% 0.10/0.30 Id : 14, {_}: apply (apply (apply (apply (apply b b) t) y) z) x =>= apply (apply z x) y [] by Demod 13 with 3 at 2
% 0.10/0.30 Found proof, 0.001410s
% 0.10/0.30 % SZS status Unsatisfiable for theBenchmark.p
% 0.10/0.30 % SZS output start CNFRefutation for theBenchmark.p
% 0.10/0.30 Id : 13, {_}: apply (apply t x) (apply (apply (apply (apply b b) t) y) z) =>= apply (apply z x) y [] by Demod 12 with 2 at 2
% 0.10/0.30 Id : 3, {_}: apply (apply t ?6) ?7 =>= apply ?7 ?6 [7, 6] by t_definition ?6 ?7
% 0.10/0.30 Id : 2, {_}: apply (apply (apply b ?2) ?3) ?4 =>= apply ?2 (apply ?3 ?4) [4, 3, 2] by b_definition ?2 ?3 ?4
% 0.10/0.30 Id : 12, {_}: apply (apply (apply b (apply t x)) (apply (apply (apply b b) t) y)) z =>= apply (apply z x) y [] by Demod 11 with 2 at 1,2
% 0.10/0.30 Id : 2, {_}: apply (apply (apply b ?2) ?3) ?4 =>= apply ?2 (apply ?3 ?4) [4, 3, 2] by b_definition ?2 ?3 ?4
% 0.10/0.30 Id : 17, {_}: apply (apply z x) y === apply (apply z x) y [] by Demod 16 with 3 at 2
% 0.10/0.30 Id : 16, {_}: apply (apply t y) (apply z x) =>= apply (apply z x) y [] by Demod 15 with 2 at 2
% 0.10/0.30 Id : 17, {_}: apply (apply z x) y === apply (apply z x) y [] by Demod 16 with 3 at 2
% 0.10/0.30 Id : 11, {_}: apply (apply (apply (apply b (apply b (apply t x))) (apply (apply b b) t)) y) z =>= apply (apply z x) y [] by Demod 8 with 3 at 1,1,2
% 0.10/0.30 Id : 15, {_}: apply (apply (apply b (apply t y)) z) x =>= apply (apply z x) y [] by Demod 14 with 2 at 1,1,2
% 0.10/0.30 Id : 8, {_}: apply (apply (apply (apply t (apply (apply b b) t)) (apply b (apply b (apply t x)))) y) z =>= apply (apply z x) y [] by Demod 7 with 2 at 2,1,1,2
% 0.10/0.30 Id : 14, {_}: apply (apply (apply (apply (apply b b) t) y) z) x =>= apply (apply z x) y [] by Demod 13 with 3 at 2
% 0.10/0.30 Id : 16, {_}: apply (apply t y) (apply z x) =>= apply (apply z x) y [] by Demod 15 with 2 at 2
% 0.10/0.30 Id : 7, {_}: apply (apply (apply (apply t (apply (apply b b) t)) (apply (apply (apply b b) b) (apply t x))) y) z =>= apply (apply z x) y [] by Demod 6 with 2 at 1,1,2
% 0.10/0.30 Id : 13, {_}: apply (apply t x) (apply (apply (apply (apply b b) t) y) z) =>= apply (apply z x) y [] by Demod 12 with 2 at 2
% 0.10/0.30 Id : 15, {_}: apply (apply (apply b (apply t y)) z) x =>= apply (apply z x) y [] by Demod 14 with 2 at 1,1,2
% 0.10/0.30 Id : 6, {_}: apply (apply (apply (apply (apply b (apply t (apply (apply b b) t))) (apply (apply b b) b)) (apply t x)) y) z =>= apply (apply z x) y [] by Demod 1 with 2 at 1,1,2
% 0.10/0.30 Id : 14, {_}: apply (apply (apply (apply (apply b b) t) y) z) x =>= apply (apply z x) y [] by Demod 13 with 3 at 2
% 0.10/0.30 Id : 12, {_}: apply (apply (apply b (apply t x)) (apply (apply (apply b b) t) y)) z =>= apply (apply z x) y [] by Demod 11 with 2 at 1,2
% 0.10/0.30 Id : 1, {_}: apply (apply (apply (apply (apply b (apply (apply b (apply t (apply (apply b b) t))) (apply (apply b b) b))) t) x) y) z =>= apply (apply z x) y [] by prove_v_combinator
% 0.10/0.30 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.30 31672: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.002246 using kbo
% 0.10/0.30 Id : 11, {_}: apply (apply (apply (apply b (apply b (apply t x))) (apply (apply b b) t)) y) z =>= apply (apply z x) y [] by Demod 8 with 3 at 1,1,2
% 0.10/0.30 Id : 13, {_}: apply (apply t x) (apply (apply (apply (apply b b) t) y) z) =>= apply (apply z x) y [] by Demod 12 with 2 at 2
% 0.10/0.30 Id : 8, {_}: apply (apply (apply (apply t (apply (apply b b) t)) (apply b (apply b (apply t x)))) y) z =>= apply (apply z x) y [] by Demod 7 with 2 at 2,1,1,2
% 0.10/0.30 Id : 12, {_}: apply (apply (apply b (apply t x)) (apply (apply (apply b b) t) y)) z =>= apply (apply z x) y [] by Demod 11 with 2 at 1,2
% 0.10/0.30 Id : 7, {_}: apply (apply (apply (apply t (apply (apply b b) t)) (apply (apply (apply b b) b) (apply t x))) y) z =>= apply (apply z x) y [] by Demod 6 with 2 at 1,1,2
%------------------------------------------------------------------------------