TSTP Solution File: BOO003-4 by Matita---1.0
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% File : Matita---1.0
% Problem : BOO003-4 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n029.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 : Thu Jul 14 23:44:09 EDT 2022
% Result : Unsatisfiable 0.19s 0.41s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : BOO003-4 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.33 % Computer : n029.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 : Wed Jun 1 18:43:45 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 22125: Facts:
% 0.12/0.33 22125: Id : 2, {_}: add ?2 ?3 =?= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
% 0.12/0.33 22125: Id : 3, {_}:
% 0.12/0.33 multiply ?5 ?6 =?= multiply ?6 ?5
% 0.12/0.33 [6, 5] by commutativity_of_multiply ?5 ?6
% 0.12/0.33 22125: Id : 4, {_}:
% 0.12/0.33 add ?8 (multiply ?9 ?10) =<= multiply (add ?8 ?9) (add ?8 ?10)
% 0.12/0.33 [10, 9, 8] by distributivity1 ?8 ?9 ?10
% 0.12/0.33 22125: Id : 5, {_}:
% 0.12/0.33 multiply ?12 (add ?13 ?14)
% 0.12/0.33 =<=
% 0.12/0.33 add (multiply ?12 ?13) (multiply ?12 ?14)
% 0.12/0.33 [14, 13, 12] by distributivity2 ?12 ?13 ?14
% 0.12/0.33 22125: Id : 6, {_}: add ?16 additive_identity =>= ?16 [16] by additive_id1 ?16
% 0.12/0.33 22125: Id : 7, {_}:
% 0.12/0.33 multiply ?18 multiplicative_identity =>= ?18
% 0.12/0.33 [18] by multiplicative_id1 ?18
% 0.12/0.33 22125: Id : 8, {_}:
% 0.12/0.33 add ?20 (inverse ?20) =>= multiplicative_identity
% 0.12/0.33 [20] by additive_inverse1 ?20
% 0.12/0.33 22125: Id : 9, {_}:
% 0.12/0.33 multiply ?22 (inverse ?22) =>= additive_identity
% 0.12/0.33 [22] by multiplicative_inverse1 ?22
% 0.12/0.33 22125: Goal:
% 0.12/0.33 22125: Id : 1, {_}: multiply a a =>= a [] by prove_a_times_a_is_a
% 0.19/0.41 Statistics :
% 0.19/0.41 Max weight : 11
% 0.19/0.41 Found proof, 0.080463s
% 0.19/0.41 % SZS status Unsatisfiable for theBenchmark.p
% 0.19/0.41 % SZS output start CNFRefutation for theBenchmark.p
% 0.19/0.41 Id : 5, {_}: multiply ?12 (add ?13 ?14) =<= add (multiply ?12 ?13) (multiply ?12 ?14) [14, 13, 12] by distributivity2 ?12 ?13 ?14
% 0.19/0.41 Id : 9, {_}: multiply ?22 (inverse ?22) =>= additive_identity [22] by multiplicative_inverse1 ?22
% 0.19/0.41 Id : 7, {_}: multiply ?18 multiplicative_identity =>= ?18 [18] by multiplicative_id1 ?18
% 0.19/0.41 Id : 3, {_}: multiply ?5 ?6 =?= multiply ?6 ?5 [6, 5] by commutativity_of_multiply ?5 ?6
% 0.19/0.41 Id : 8, {_}: add ?20 (inverse ?20) =>= multiplicative_identity [20] by additive_inverse1 ?20
% 0.19/0.41 Id : 2, {_}: add ?2 ?3 =?= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
% 0.19/0.41 Id : 6, {_}: add ?16 additive_identity =>= ?16 [16] by additive_id1 ?16
% 0.19/0.41 Id : 4, {_}: add ?8 (multiply ?9 ?10) =<= multiply (add ?8 ?9) (add ?8 ?10) [10, 9, 8] by distributivity1 ?8 ?9 ?10
% 0.19/0.41 Id : 306, {_}: add ?435 (multiply additive_identity ?436) =<= multiply ?435 (add ?435 ?436) [436, 435] by Super 4 with 6 at 1,3
% 0.19/0.41 Id : 307, {_}: add ?438 (multiply additive_identity ?439) =<= multiply ?438 (add ?439 ?438) [439, 438] by Super 306 with 2 at 2,3
% 0.19/0.41 Id : 71, {_}: add ?193 (multiply (inverse ?193) ?194) =>= multiply multiplicative_identity (add ?193 ?194) [194, 193] by Super 4 with 8 at 1,3
% 0.19/0.41 Id : 64, {_}: multiply multiplicative_identity ?178 =>= ?178 [178] by Super 3 with 7 at 3
% 0.19/0.41 Id : 965, {_}: add ?1030 (multiply (inverse ?1030) ?1031) =>= add ?1030 ?1031 [1031, 1030] by Demod 71 with 64 at 3
% 0.19/0.41 Id : 81, {_}: multiply (inverse ?213) ?213 =>= additive_identity [213] by Super 3 with 9 at 3
% 0.19/0.41 Id : 971, {_}: add ?1044 additive_identity =?= add ?1044 ?1044 [1044] by Super 965 with 81 at 2,2
% 0.19/0.41 Id : 1005, {_}: ?1044 =<= add ?1044 ?1044 [1044] by Demod 971 with 6 at 2
% 0.19/0.41 Id : 1114, {_}: add ?1152 (multiply additive_identity ?1152) =>= multiply ?1152 ?1152 [1152] by Super 307 with 1005 at 2,3
% 0.19/0.41 Id : 72, {_}: add (inverse ?196) ?196 =>= multiplicative_identity [196] by Super 2 with 8 at 3
% 0.19/0.41 Id : 311, {_}: add (inverse ?447) (multiply additive_identity ?447) =>= multiply (inverse ?447) multiplicative_identity [447] by Super 306 with 72 at 2,3
% 0.19/0.41 Id : 330, {_}: add (inverse ?447) (multiply additive_identity ?447) =>= multiply multiplicative_identity (inverse ?447) [447] by Demod 311 with 3 at 3
% 0.19/0.41 Id : 331, {_}: add (inverse ?447) (multiply additive_identity ?447) =>= inverse ?447 [447] by Demod 330 with 64 at 3
% 0.19/0.41 Id : 635, {_}: add (multiply additive_identity ?823) (multiply additive_identity (inverse ?823)) =>= multiply (multiply additive_identity ?823) (inverse ?823) [823] by Super 307 with 331 at 2,3
% 0.19/0.41 Id : 648, {_}: multiply additive_identity (add ?823 (inverse ?823)) =<= multiply (multiply additive_identity ?823) (inverse ?823) [823] by Demod 635 with 5 at 2
% 0.19/0.41 Id : 649, {_}: multiply additive_identity (add ?823 (inverse ?823)) =<= multiply (inverse ?823) (multiply additive_identity ?823) [823] by Demod 648 with 3 at 3
% 0.19/0.41 Id : 650, {_}: multiply additive_identity multiplicative_identity =<= multiply (inverse ?823) (multiply additive_identity ?823) [823] by Demod 649 with 8 at 2,2
% 0.19/0.41 Id : 651, {_}: additive_identity =<= multiply (inverse ?823) (multiply additive_identity ?823) [823] by Demod 650 with 7 at 2
% 0.19/0.41 Id : 976, {_}: add ?1057 additive_identity =<= add ?1057 (multiply additive_identity ?1057) [1057] by Super 965 with 651 at 2,2
% 0.19/0.41 Id : 1007, {_}: ?1057 =<= add ?1057 (multiply additive_identity ?1057) [1057] by Demod 976 with 6 at 2
% 0.19/0.41 Id : 1280, {_}: ?1152 =<= multiply ?1152 ?1152 [1152] by Demod 1114 with 1007 at 2
% 0.19/0.41 Id : 1315, {_}: a === a [] by Demod 1 with 1280 at 2
% 0.19/0.41 Id : 1, {_}: multiply a a =>= a [] by prove_a_times_a_is_a
% 0.19/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.41 22128: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.082356 using nrkbo
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