%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : COL064-2 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n027.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 00:36:01 EDT 2022
% Result : Unsatisfiable 0.13s 0.34s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL064-2 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.03/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue May 31 08:26:32 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 25244: Facts:
% 0.13/0.34 25244: Id : 2, {_}:
% 0.13/0.34 apply (apply (apply b ?2) ?3) ?4 =>= apply ?2 (apply ?3 ?4)
% 0.13/0.34 [4, 3, 2] by b_definition ?2 ?3 ?4
% 0.13/0.34 25244: Id : 3, {_}:
% 0.13/0.34 apply (apply t ?6) ?7 =>= apply ?7 ?6
% 0.13/0.34 [7, 6] by t_definition ?6 ?7
% 0.13/0.34 25244: Goal:
% 0.13/0.34 25244: Id : 1, {_}:
% 0.13/0.34 apply
% 0.13/0.34 (apply
% 0.13/0.34 (apply
% 0.13/0.34 (apply (apply b (apply t (apply (apply b b) t)))
% 0.13/0.34 (apply (apply b b) (apply (apply b b) t))) x) y) z
% 0.13/0.34 =>=
% 0.13/0.34 apply (apply z x) y
% 0.13/0.34 [] by prove_v_combinator
% 0.13/0.34 Statistics :
% 0.13/0.34 Max weight : 25
% 0.13/0.34 Found proof, 0.001555s
% 0.13/0.34 Statistics :
% 0.13/0.34 Max weight : 25
% 0.13/0.34 % SZS status Unsatisfiable for theBenchmark.p
% 0.13/0.34 % SZS output start CNFRefutation for theBenchmark.p
% 0.13/0.34 Found proof, 0.001438s
% 0.13/0.34 % SZS status Unsatisfiable for theBenchmark.p
% 0.13/0.34 % SZS output start CNFRefutation for theBenchmark.p
% 0.13/0.34 Id : 3, {_}: apply (apply t ?6) ?7 =>= apply ?7 ?6 [7, 6] by t_definition ?6 ?7
% 0.13/0.34 Id : 3, {_}: apply (apply t ?6) ?7 =>= apply ?7 ?6 [7, 6] by t_definition ?6 ?7
% 0.13/0.34 Id : 2, {_}: apply (apply (apply b ?2) ?3) ?4 =>= apply ?2 (apply ?3 ?4) [4, 3, 2] by b_definition ?2 ?3 ?4
% 0.13/0.34 Id : 2, {_}: apply (apply (apply b ?2) ?3) ?4 =>= apply ?2 (apply ?3 ?4) [4, 3, 2] by b_definition ?2 ?3 ?4
% 0.13/0.34 Id : 17, {_}: apply (apply z x) y === apply (apply z x) y [] by Demod 16 with 3 at 2
% 0.13/0.34 Id : 17, {_}: apply (apply z x) y =?= apply (apply z x) y [] by Demod 16 with 3 at 2
% 0.13/0.34 Statistics :
% 0.13/0.34 Max weight : 25
% 0.13/0.34 Found proof, 0.000919s
% 0.13/0.34 Id : 16, {_}: apply (apply t y) (apply z x) =>= apply (apply z x) y [] by Demod 15 with 2 at 2
% 0.13/0.34 % SZS status Unsatisfiable for theBenchmark.p
% 0.13/0.34 % SZS output start CNFRefutation for theBenchmark.p
% 0.13/0.34 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
% 0.13/0.34 Id : 3, {_}: apply (apply t ?6) ?7 =>= apply ?7 ?6 [7, 6] by t_definition ?6 ?7
% 0.13/0.34 Id : 16, {_}: apply (apply t y) (apply z x) =>= apply (apply z x) y [] by Demod 15 with 2 at 2
% 0.13/0.34 Id : 15, {_}: apply (apply (apply b (apply t y)) z) x =>= apply (apply z x) y [] by Demod 14 with 3 at 2
% 0.13/0.34 Id : 14, {_}: apply (apply t x) (apply (apply b (apply t y)) z) =>= apply (apply z x) y [] by Demod 13 with 2 at 2
% 0.13/0.34 Id : 2, {_}: apply (apply (apply b ?2) ?3) ?4 =>= apply ?2 (apply ?3 ?4) [4, 3, 2] by b_definition ?2 ?3 ?4
% 0.13/0.34 Id : 17, {_}: apply (apply z x) y === apply (apply z x) y [] by Demod 16 with 3 at 2
% 0.13/0.34 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
% 0.13/0.34 Id : 16, {_}: apply (apply t y) (apply z x) =>= apply (apply z x) y [] by Demod 15 with 2 at 2
% 0.13/0.34 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
% 0.13/0.34 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
% 0.13/0.34 Id : 13, {_}: apply (apply (apply b (apply t x)) (apply b (apply t y))) z =>= apply (apply z x) y [] by Demod 12 with 2 at 2,1,2
% 0.13/0.34 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
% 0.13/0.34 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 1,1,2
% 0.13/0.34 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
% 0.13/0.34 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
% 0.13/0.34 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
% 0.13/0.34 Id : 11, {_}: apply (apply (apply (apply (apply b b) t) x) (apply (apply (apply b b) t) y)) z =>= apply (apply z x) y [] by Demod 10 with 2 at 1,2
% 0.13/0.34 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 2,2,1,1,2
% 0.13/0.34 Id : 10, {_}: apply (apply (apply (apply b (apply (apply (apply b b) t) x)) (apply (apply b b) t)) y) z =>= apply (apply z x) y [] by Demod 9 with 2 at 1,1,1,2
% 0.13/0.34 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
% 0.13/0.34 Id : 7, {_}: apply (apply (apply (apply t (apply (apply b b) t)) (apply b (apply (apply (apply b b) t) x))) y) z =>= apply (apply z x) y [] by Demod 6 with 2 at 2,1,1,2
% 0.13/0.34 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
% 0.13/0.34 Id : 9, {_}: apply (apply (apply (apply (apply (apply b b) (apply (apply b b) t)) x) (apply (apply b b) t)) y) z =>= apply (apply z x) y [] by Demod 8 with 3 at 1,1,2
% 0.13/0.34 Id : 8, {_}: apply (apply (apply (apply t (apply (apply b b) t)) (apply (apply (apply b b) (apply (apply b b) t)) x)) y) z =>= apply (apply z x) y [] by Demod 1 with 2 at 1,1,2
% 0.13/0.34 Id : 6, {_}: apply (apply (apply (apply t (apply (apply b b) t)) (apply (apply (apply b b) (apply (apply b b) t)) x)) y) z =>= apply (apply z x) y [] by Demod 1 with 2 at 1,1,2
% 0.13/0.34 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 2,2,1,1,2
% 0.13/0.34 Id : 1, {_}: apply (apply (apply (apply (apply b (apply t (apply (apply b b) t))) (apply (apply b b) (apply (apply b b) t))) x) y) z =>= apply (apply z x) y [] by prove_v_combinator
% 0.13/0.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.34 Id : 1, {_}: apply (apply (apply (apply (apply b (apply t (apply (apply b b) t))) (apply (apply b b) (apply (apply b b) t))) x) y) z =>= apply (apply z x) y [] by prove_v_combinator
% 0.13/0.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.34 Id : 7, {_}: apply (apply (apply (apply t (apply (apply b b) t)) (apply b (apply (apply (apply b b) t) x))) y) z =>= apply (apply z x) y [] by Demod 6 with 2 at 2,1,1,2
% 0.13/0.34 25247: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.002821 using nrkbo
% 0.13/0.34 25245: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.002979 using kbo
% 0.13/0.34 Id : 6, {_}: apply (apply (apply (apply t (apply (apply b b) t)) (apply (apply (apply b b) (apply (apply b b) t)) x)) y) z =>= apply (apply z x) y [] by Demod 1 with 2 at 1,1,2
% 0.13/0.34 Id : 1, {_}: apply (apply (apply (apply (apply b (apply t (apply (apply b b) t))) (apply (apply b b) (apply (apply b b) t))) x) y) z =>= apply (apply z x) y [] by prove_v_combinator
% 0.13/0.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.34 25244: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.00324 using nrkbo
%------------------------------------------------------------------------------