TSTP Solution File: COL057-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : COL057-1 : TPTP v8.1.0. Released v1.0.0.
% 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 00:35:59 EDT 2022
% Result : Unsatisfiable 2.94s 1.08s
% Output : CNFRefutation 2.94s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : COL057-1 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.11 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 600
% 0.11/0.30 % DateTime : Tue May 31 09:32:43 EDT 2022
% 0.11/0.30 % CPUTime :
% 0.11/0.31 6442: Facts:
% 0.11/0.31 6442: Id : 2, {_}:
% 0.11/0.31 apply (apply (apply s ?3) ?4) ?5
% 0.11/0.31 =?=
% 0.11/0.31 apply (apply ?3 ?5) (apply ?4 ?5)
% 0.11/0.31 [5, 4, 3] by s_definition ?3 ?4 ?5
% 0.11/0.31 6442: Id : 3, {_}:
% 0.11/0.31 apply (apply (apply b ?7) ?8) ?9 =>= apply ?7 (apply ?8 ?9)
% 0.11/0.31 [9, 8, 7] by b_definition ?7 ?8 ?9
% 0.11/0.31 6442: Id : 4, {_}:
% 0.11/0.31 apply (apply (apply c ?11) ?12) ?13 =>= apply (apply ?11 ?13) ?12
% 0.11/0.31 [13, 12, 11] by c_definition ?11 ?12 ?13
% 0.11/0.31 6442: Id : 5, {_}: apply i ?15 =>= ?15 [15] by i_definition ?15
% 0.11/0.31 6442: Goal:
% 0.11/0.31 6442: Id : 1, {_}:
% 0.11/0.31 apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1))
% 0.11/0.31 [1] by prove_strong_fixed_point ?1
% 2.94/1.08 Goal subsumed
% 2.94/1.08 Statistics :
% 2.94/1.08 Max weight : 84
% 2.94/1.08 Found proof, 0.767733s
% 2.94/1.08 % SZS status Unsatisfiable for theBenchmark.p
% 2.94/1.08 % SZS output start CNFRefutation for theBenchmark.p
% 2.94/1.08 Id : 3, {_}: apply (apply (apply b ?7) ?8) ?9 =>= apply ?7 (apply ?8 ?9) [9, 8, 7] by b_definition ?7 ?8 ?9
% 2.94/1.08 Id : 5, {_}: apply i ?15 =>= ?15 [15] by i_definition ?15
% 2.94/1.08 Id : 2, {_}: apply (apply (apply s ?3) ?4) ?5 =?= apply (apply ?3 ?5) (apply ?4 ?5) [5, 4, 3] by s_definition ?3 ?4 ?5
% 2.94/1.08 Id : 37, {_}: apply (apply (apply s i) ?141) ?142 =?= apply ?142 (apply ?141 ?142) [142, 141] by Super 2 with 5 at 1,3
% 2.94/1.08 Id : 16, {_}: apply (apply (apply s (apply b ?64)) ?65) ?66 =?= apply ?64 (apply ?66 (apply ?65 ?66)) [66, 65, 64] by Super 2 with 3 at 3
% 2.94/1.08 Id : 9068, {_}: apply (apply (apply (apply s (apply b (apply s i))) i) (apply (apply s (apply b (apply s i))) i)) (f (apply (apply (apply s (apply b (apply s i))) i) (apply i (apply (apply s (apply b (apply s i))) i)))) === apply (apply (apply (apply s (apply b (apply s i))) i) (apply (apply s (apply b (apply s i))) i)) (f (apply (apply (apply s (apply b (apply s i))) i) (apply i (apply (apply s (apply b (apply s i))) i)))) [] by Super 9059 with 5 at 2,1,2
% 2.94/1.08 Id : 9059, {_}: apply (apply ?16932 (apply ?16933 ?16932)) (f (apply ?16932 (apply ?16933 ?16932))) =?= apply (apply (apply (apply s (apply b (apply s i))) ?16933) ?16932) (f (apply ?16932 (apply ?16933 ?16932))) [16933, 16932] by Super 9058 with 16 at 1,3
% 2.94/1.08 Id : 9058, {_}: apply ?16930 (f ?16930) =<= apply (apply (apply s i) ?16930) (f ?16930) [16930] by Super 1 with 37 at 3
% 2.94/1.08 Id : 1, {_}: apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1)) [1] by prove_strong_fixed_point ?1
% 2.94/1.08 % SZS output end CNFRefutation for theBenchmark.p
% 2.94/1.08 6442: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.766706 using nrkbo
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