TSTP Solution File: COL041-1 by Matita---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : COL041-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n025.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 00:35:56 EDT 2022
% Result : Unsatisfiable 0.87s 0.53s
% Output : CNFRefutation 0.87s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL041-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.13/0.34 % Computer : n025.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 08:31:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 9692: Facts:
% 0.13/0.35 9692: Id : 2, {_}:
% 0.13/0.35 apply (apply (apply b ?3) ?4) ?5 =>= apply ?3 (apply ?4 ?5)
% 0.13/0.35 [5, 4, 3] by b_definition ?3 ?4 ?5
% 0.13/0.35 9692: Id : 3, {_}: apply m ?7 =?= apply ?7 ?7 [7] by m_definition ?7
% 0.13/0.35 9692: Id : 4, {_}:
% 0.13/0.35 apply (apply (apply c ?9) ?10) ?11 =>= apply (apply ?9 ?11) ?10
% 0.13/0.35 [11, 10, 9] by c_definition ?9 ?10 ?11
% 0.13/0.35 9692: Goal:
% 0.13/0.35 9692: Id : 1, {_}:
% 0.13/0.35 apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1))
% 0.13/0.35 [1] by prove_fixed_point ?1
% 0.87/0.53 Goal subsumed
% 0.87/0.53 Statistics :
% 0.87/0.53 Max weight : 54
% 0.87/0.53 Found proof, 0.184005s
% 0.87/0.53 % SZS status Unsatisfiable for theBenchmark.p
% 0.87/0.53 % SZS output start CNFRefutation for theBenchmark.p
% 0.87/0.53 Id : 4, {_}: apply (apply (apply c ?9) ?10) ?11 =>= apply (apply ?9 ?11) ?10 [11, 10, 9] by c_definition ?9 ?10 ?11
% 0.87/0.53 Id : 3, {_}: apply m ?7 =?= apply ?7 ?7 [7] by m_definition ?7
% 0.87/0.53 Id : 12, {_}: apply m ?33 =?= apply ?33 ?33 [33] by m_definition ?33
% 0.87/0.53 Id : 2, {_}: apply (apply (apply b ?3) ?4) ?5 =>= apply ?3 (apply ?4 ?5) [5, 4, 3] by b_definition ?3 ?4 ?5
% 0.87/0.53 Id : 15, {_}: apply m ?39 =?= apply m ?39 [39] by Super 12 with 3 at 3
% 0.87/0.53 Id : 11, {_}: apply m (apply (apply b ?30) ?31) =<= apply ?30 (apply ?31 (apply (apply b ?30) ?31)) [31, 30] by Super 2 with 3 at 2
% 0.87/0.53 Id : 2175, {_}: apply (f (apply (apply b m) (apply (apply c b) m))) (apply m (apply (apply b (f (apply (apply b m) (apply (apply c b) m)))) m)) =?= apply (f (apply (apply b m) (apply (apply c b) m))) (apply m (apply (apply b (f (apply (apply b m) (apply (apply c b) m)))) m)) [] by Super 2174 with 11 at 2
% 0.87/0.53 Id : 2174, {_}: apply m (apply (apply ?2172 (f (apply (apply b m) (apply (apply c ?2172) ?2173)))) ?2173) =<= apply (f (apply (apply b m) (apply (apply c ?2172) ?2173))) (apply m (apply (apply ?2172 (f (apply (apply b m) (apply (apply c ?2172) ?2173)))) ?2173)) [2173, 2172] by Demod 2137 with 4 at 2,2
% 0.87/0.53 Id : 2137, {_}: apply m (apply (apply (apply c ?2172) ?2173) (f (apply (apply b m) (apply (apply c ?2172) ?2173)))) =<= apply (f (apply (apply b m) (apply (apply c ?2172) ?2173))) (apply m (apply (apply ?2172 (f (apply (apply b m) (apply (apply c ?2172) ?2173)))) ?2173)) [2173, 2172] by Super 48 with 4 at 2,2,3
% 0.87/0.53 Id : 48, {_}: apply m (apply ?110 (f (apply (apply b m) ?110))) =<= apply (f (apply (apply b m) ?110)) (apply m (apply ?110 (f (apply (apply b m) ?110)))) [110] by Super 8 with 15 at 2,3
% 0.87/0.53 Id : 8, {_}: apply ?21 (apply ?22 (f (apply (apply b ?21) ?22))) =<= apply (f (apply (apply b ?21) ?22)) (apply ?21 (apply ?22 (f (apply (apply b ?21) ?22)))) [22, 21] by Demod 7 with 2 at 2
% 0.87/0.53 Id : 7, {_}: apply (apply (apply b ?21) ?22) (f (apply (apply b ?21) ?22)) =<= apply (f (apply (apply b ?21) ?22)) (apply ?21 (apply ?22 (f (apply (apply b ?21) ?22)))) [22, 21] by Super 1 with 2 at 2,3
% 0.87/0.53 Id : 1, {_}: apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1)) [1] by prove_fixed_point ?1
% 0.87/0.53 % SZS output end CNFRefutation for theBenchmark.p
% 0.87/0.53 9693: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.185555 using kbo
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