%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : COL049-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n023.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 00:35:58 EDT 2022
% Result : Unsatisfiable 6.97s 2.06s
% Output : CNFRefutation 6.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : COL049-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 600
% 0.12/0.35 % DateTime : Tue May 31 13:15:11 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.20/0.35 22502: Facts:
% 0.20/0.35 22502: Id : 2, {_}:
% 0.20/0.35 apply (apply (apply b ?3) ?4) ?5 =>= apply ?3 (apply ?4 ?5)
% 0.20/0.35 [5, 4, 3] by b_definition ?3 ?4 ?5
% 0.20/0.35 22502: Id : 3, {_}:
% 0.20/0.35 apply (apply w ?7) ?8 =?= apply (apply ?7 ?8) ?8
% 0.20/0.35 [8, 7] by w_definition ?7 ?8
% 0.20/0.35 22502: Id : 4, {_}: apply m ?10 =?= apply ?10 ?10 [10] by m_definition ?10
% 0.20/0.35 22502: Goal:
% 0.20/0.35 22502: Id : 1, {_}:
% 0.20/0.35 apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1))
% 0.20/0.35 [1] by prove_strong_fixed_point ?1
% 6.97/2.06 Goal subsumed
% 6.97/2.06 Statistics :
% 6.97/2.06 Max weight : 54
% 6.97/2.06 Found proof, 1.714612s
% 6.97/2.06 % SZS status Unsatisfiable for theBenchmark.p
% 6.97/2.06 % SZS output start CNFRefutation for theBenchmark.p
% 6.97/2.06 Id : 3, {_}: apply (apply w ?7) ?8 =?= apply (apply ?7 ?8) ?8 [8, 7] by w_definition ?7 ?8
% 6.97/2.06 Id : 4, {_}: apply m ?10 =?= apply ?10 ?10 [10] by m_definition ?10
% 6.97/2.06 Id : 2, {_}: apply (apply (apply b ?3) ?4) ?5 =>= apply ?3 (apply ?4 ?5) [5, 4, 3] by b_definition ?3 ?4 ?5
% 6.97/2.06 Id : 226, {_}: apply (apply w (apply b ?378)) ?379 =?= apply ?378 (apply ?379 ?379) [379, 378] by Super 2 with 3 at 2
% 6.97/2.06 Id : 231, {_}: apply (apply w (apply b ?393)) ?394 =>= apply ?393 (apply m ?394) [394, 393] by Super 226 with 4 at 2,3
% 6.97/2.07 Id : 289, {_}: apply m (apply w (apply b ?503)) =<= apply ?503 (apply m (apply w (apply b ?503))) [503] by Super 4 with 231 at 3
% 6.97/2.07 Id : 15983, {_}: apply (f (apply (apply b m) (apply (apply b w) b))) (apply m (apply w (apply b (f (apply (apply b m) (apply (apply b w) b)))))) === apply (f (apply (apply b m) (apply (apply b w) b))) (apply m (apply w (apply b (f (apply (apply b m) (apply (apply b w) b)))))) [] by Super 72 with 289 at 2
% 6.97/2.07 Id : 72, {_}: apply ?123 (apply ?124 (apply ?125 (f (apply (apply b ?123) (apply (apply b ?124) ?125))))) =<= apply (f (apply (apply b ?123) (apply (apply b ?124) ?125))) (apply ?123 (apply ?124 (apply ?125 (f (apply (apply b ?123) (apply (apply b ?124) ?125)))))) [125, 124, 123] by Demod 59 with 2 at 2,2
% 6.97/2.07 Id : 59, {_}: apply ?123 (apply (apply (apply b ?124) ?125) (f (apply (apply b ?123) (apply (apply b ?124) ?125)))) =<= apply (f (apply (apply b ?123) (apply (apply b ?124) ?125))) (apply ?123 (apply ?124 (apply ?125 (f (apply (apply b ?123) (apply (apply b ?124) ?125)))))) [125, 124, 123] by Super 8 with 2 at 2,2,3
% 6.97/2.07 Id : 8, {_}: apply ?20 (apply ?21 (f (apply (apply b ?20) ?21))) =<= apply (f (apply (apply b ?20) ?21)) (apply ?20 (apply ?21 (f (apply (apply b ?20) ?21)))) [21, 20] by Demod 7 with 2 at 2
% 6.97/2.07 Id : 7, {_}: apply (apply (apply b ?20) ?21) (f (apply (apply b ?20) ?21)) =<= apply (f (apply (apply b ?20) ?21)) (apply ?20 (apply ?21 (f (apply (apply b ?20) ?21)))) [21, 20] by Super 1 with 2 at 2,3
% 6.97/2.07 Id : 1, {_}: apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1)) [1] by prove_strong_fixed_point ?1
% 6.97/2.07 % SZS output end CNFRefutation for theBenchmark.p
% 6.97/2.07 22502: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 1.679969 using nrkbo
%------------------------------------------------------------------------------