TSTP Solution File: BOO009-4 by Matita---1.0
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% File : Matita---1.0
% Problem : BOO009-4 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n017.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 23:44:11 EDT 2022
% Result : Unsatisfiable 0.20s 0.43s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : BOO009-4 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.33 % Computer : n017.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 23:09:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 19556: Facts:
% 0.12/0.34 19556: Id : 2, {_}: add ?2 ?3 =?= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
% 0.12/0.34 19556: Id : 3, {_}:
% 0.12/0.34 multiply ?5 ?6 =?= multiply ?6 ?5
% 0.12/0.34 [6, 5] by commutativity_of_multiply ?5 ?6
% 0.12/0.34 19556: Id : 4, {_}:
% 0.12/0.34 add ?8 (multiply ?9 ?10) =<= multiply (add ?8 ?9) (add ?8 ?10)
% 0.12/0.34 [10, 9, 8] by distributivity1 ?8 ?9 ?10
% 0.12/0.34 19556: Id : 5, {_}:
% 0.12/0.34 multiply ?12 (add ?13 ?14)
% 0.12/0.34 =<=
% 0.12/0.34 add (multiply ?12 ?13) (multiply ?12 ?14)
% 0.12/0.34 [14, 13, 12] by distributivity2 ?12 ?13 ?14
% 0.12/0.34 19556: Id : 6, {_}: add ?16 additive_identity =>= ?16 [16] by additive_id1 ?16
% 0.12/0.34 19556: Id : 7, {_}:
% 0.12/0.34 multiply ?18 multiplicative_identity =>= ?18
% 0.12/0.34 [18] by multiplicative_id1 ?18
% 0.12/0.34 19556: Id : 8, {_}:
% 0.12/0.34 add ?20 (inverse ?20) =>= multiplicative_identity
% 0.12/0.34 [20] by additive_inverse1 ?20
% 0.12/0.34 19556: Id : 9, {_}:
% 0.12/0.34 multiply ?22 (inverse ?22) =>= additive_identity
% 0.12/0.34 [22] by multiplicative_inverse1 ?22
% 0.12/0.34 19556: Goal:
% 0.12/0.34 19556: Id : 1, {_}: multiply a (add a b) =>= a [] by prove_operation
% 0.20/0.43 Statistics :
% 0.20/0.43 Max weight : 14
% 0.20/0.43 Found proof, 0.091939s
% 0.20/0.43 % SZS status Unsatisfiable for theBenchmark.p
% 0.20/0.43 % SZS output start CNFRefutation for theBenchmark.p
% 0.20/0.43 Id : 2, {_}: add ?2 ?3 =?= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
% 0.20/0.43 Id : 5, {_}: multiply ?12 (add ?13 ?14) =<= add (multiply ?12 ?13) (multiply ?12 ?14) [14, 13, 12] by distributivity2 ?12 ?13 ?14
% 0.20/0.43 Id : 6, {_}: add ?16 additive_identity =>= ?16 [16] by additive_id1 ?16
% 0.20/0.43 Id : 9, {_}: multiply ?22 (inverse ?22) =>= additive_identity [22] by multiplicative_inverse1 ?22
% 0.20/0.43 Id : 7, {_}: multiply ?18 multiplicative_identity =>= ?18 [18] by multiplicative_id1 ?18
% 0.20/0.43 Id : 3, {_}: multiply ?5 ?6 =?= multiply ?6 ?5 [6, 5] by commutativity_of_multiply ?5 ?6
% 0.20/0.43 Id : 8, {_}: add ?20 (inverse ?20) =>= multiplicative_identity [20] by additive_inverse1 ?20
% 0.20/0.43 Id : 4, {_}: add ?8 (multiply ?9 ?10) =<= multiply (add ?8 ?9) (add ?8 ?10) [10, 9, 8] by distributivity1 ?8 ?9 ?10
% 0.20/0.43 Id : 71, {_}: add ?193 (multiply (inverse ?193) ?194) =>= multiply multiplicative_identity (add ?193 ?194) [194, 193] by Super 4 with 8 at 1,3
% 0.20/0.43 Id : 64, {_}: multiply multiplicative_identity ?178 =>= ?178 [178] by Super 3 with 7 at 3
% 0.20/0.43 Id : 966, {_}: add ?1023 (multiply (inverse ?1023) ?1024) =>= add ?1023 ?1024 [1024, 1023] by Demod 71 with 64 at 3
% 0.20/0.43 Id : 81, {_}: multiply (inverse ?213) ?213 =>= additive_identity [213] by Super 3 with 9 at 3
% 0.20/0.43 Id : 972, {_}: add ?1037 additive_identity =?= add ?1037 ?1037 [1037] by Super 966 with 81 at 2,2
% 0.20/0.43 Id : 1000, {_}: ?1037 =<= add ?1037 ?1037 [1037] by Demod 972 with 6 at 2
% 0.20/0.43 Id : 1110, {_}: add ?1134 (multiply ?1134 ?1135) =>= multiply ?1134 (add ?1134 ?1135) [1135, 1134] by Super 4 with 1000 at 1,3
% 0.20/0.43 Id : 63, {_}: multiply ?175 (add multiplicative_identity ?176) =<= add ?175 (multiply ?175 ?176) [176, 175] by Super 5 with 7 at 1,3
% 0.20/0.43 Id : 62, {_}: multiply ?172 (add ?173 multiplicative_identity) =<= add (multiply ?172 ?173) ?172 [173, 172] by Super 5 with 7 at 2,3
% 0.20/0.43 Id : 207, {_}: add ?328 (multiply ?328 ?329) =>= multiply ?328 (add ?329 multiplicative_identity) [329, 328] by Super 2 with 62 at 3
% 0.20/0.43 Id : 340, {_}: multiply ?328 (add multiplicative_identity ?329) =?= multiply ?328 (add ?329 multiplicative_identity) [329, 328] by Demod 207 with 63 at 2
% 0.20/0.43 Id : 970, {_}: add ?1033 (inverse ?1033) =>= add ?1033 multiplicative_identity [1033] by Super 966 with 7 at 2,2
% 0.20/0.43 Id : 998, {_}: multiplicative_identity =<= add ?1033 multiplicative_identity [1033] by Demod 970 with 8 at 2
% 0.20/0.43 Id : 1016, {_}: multiply ?328 (add multiplicative_identity ?329) =>= multiply ?328 multiplicative_identity [329, 328] by Demod 340 with 998 at 2,3
% 0.20/0.43 Id : 1018, {_}: multiply ?328 (add multiplicative_identity ?329) =>= ?328 [329, 328] by Demod 1016 with 7 at 3
% 0.20/0.43 Id : 1021, {_}: ?175 =<= add ?175 (multiply ?175 ?176) [176, 175] by Demod 63 with 1018 at 2
% 0.20/0.43 Id : 1122, {_}: ?1134 =<= multiply ?1134 (add ?1134 ?1135) [1135, 1134] by Demod 1110 with 1021 at 2
% 0.20/0.43 Id : 1428, {_}: a === a [] by Demod 1 with 1122 at 2
% 0.20/0.43 Id : 1, {_}: multiply a (add a b) =>= a [] by prove_operation
% 0.20/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.43 19559: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.093569 using nrkbo
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