TSTP Solution File: COL032-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : COL032-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n024.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 00:35:55 EDT 2022
% Result : Unsatisfiable 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL032-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue May 31 12:03:21 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 10348: Facts:
% 0.12/0.34 10348: Id : 2, {_}: apply m ?3 =?= apply ?3 ?3 [3] by m_definition ?3
% 0.12/0.34 10348: Id : 3, {_}:
% 0.12/0.34 apply (apply (apply q ?5) ?6) ?7 =>= apply ?6 (apply ?5 ?7)
% 0.12/0.34 [7, 6, 5] by q_definition ?5 ?6 ?7
% 0.12/0.34 10348: Goal:
% 0.12/0.34 10348: Id : 1, {_}:
% 0.12/0.34 apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1))
% 0.12/0.34 [1] by prove_fixed_point ?1
% 0.12/0.35 Goal subsumed
% 0.12/0.35 Statistics :
% 0.12/0.35 Max weight : 46
% 0.12/0.35 Found proof, 0.009216s
% 0.12/0.35 % SZS status Unsatisfiable for theBenchmark.p
% 0.12/0.35 % SZS output start CNFRefutation for theBenchmark.p
% 0.12/0.35 Id : 2, {_}: apply m ?3 =?= apply ?3 ?3 [3] by m_definition ?3
% 0.12/0.35 Id : 3, {_}: apply (apply (apply q ?5) ?6) ?7 =>= apply ?6 (apply ?5 ?7) [7, 6, 5] by q_definition ?5 ?6 ?7
% 0.12/0.35 Id : 7, {_}: apply m (apply (apply q ?15) ?16) =?= apply ?16 (apply ?15 (apply (apply q ?15) ?16)) [16, 15] by Super 2 with 3 at 3
% 0.12/0.35 Id : 50, {_}: apply (f (apply (apply q (apply q m)) m)) (apply m (apply (apply q m) (f (apply (apply q (apply q m)) m)))) === apply (f (apply (apply q (apply q m)) m)) (apply m (apply (apply q m) (f (apply (apply q (apply q m)) m)))) [] by Super 13 with 7 at 2
% 0.12/0.35 Id : 13, {_}: apply ?33 (apply ?32 (f (apply (apply q ?32) ?33))) =<= apply (f (apply (apply q ?32) ?33)) (apply ?33 (apply ?32 (f (apply (apply q ?32) ?33)))) [32, 33] by Demod 12 with 3 at 2
% 0.12/0.35 Id : 12, {_}: apply (apply (apply q ?32) ?33) (f (apply (apply q ?32) ?33)) =<= apply (f (apply (apply q ?32) ?33)) (apply ?33 (apply ?32 (f (apply (apply q ?32) ?33)))) [33, 32] by Super 1 with 3 at 2,3
% 0.12/0.35 Id : 1, {_}: apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1)) [1] by prove_fixed_point ?1
% 0.12/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.35 10350: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.010355 using lpo
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