TSTP Solution File: BOO013-4 by Matita---1.0
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% File : Matita---1.0
% Problem : BOO013-4 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n021.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 23:44:13 EDT 2022
% Result : Unsatisfiable 0.14s 0.39s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : BOO013-4 : TPTP v8.1.0. Released v1.1.0.
% 0.04/0.09 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.09/0.29 % Computer : n021.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Wed Jun 1 15:55:15 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.09/0.29 30006: Facts:
% 0.09/0.29 30006: Id : 2, {_}: add ?2 ?3 =?= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
% 0.09/0.29 30006: Id : 3, {_}:
% 0.09/0.29 multiply ?5 ?6 =?= multiply ?6 ?5
% 0.09/0.29 [6, 5] by commutativity_of_multiply ?5 ?6
% 0.09/0.29 30006: Id : 4, {_}:
% 0.09/0.29 add ?8 (multiply ?9 ?10) =<= multiply (add ?8 ?9) (add ?8 ?10)
% 0.09/0.29 [10, 9, 8] by distributivity1 ?8 ?9 ?10
% 0.09/0.29 30006: Id : 5, {_}:
% 0.09/0.29 multiply ?12 (add ?13 ?14)
% 0.09/0.29 =<=
% 0.09/0.29 add (multiply ?12 ?13) (multiply ?12 ?14)
% 0.09/0.29 [14, 13, 12] by distributivity2 ?12 ?13 ?14
% 0.09/0.29 30006: Id : 6, {_}: add ?16 additive_identity =>= ?16 [16] by additive_id1 ?16
% 0.09/0.29 30006: Id : 7, {_}:
% 0.09/0.29 multiply ?18 multiplicative_identity =>= ?18
% 0.09/0.29 [18] by multiplicative_id1 ?18
% 0.09/0.29 30006: Id : 8, {_}:
% 0.09/0.29 add ?20 (inverse ?20) =>= multiplicative_identity
% 0.09/0.29 [20] by additive_inverse1 ?20
% 0.09/0.29 30006: Id : 9, {_}:
% 0.09/0.29 multiply ?22 (inverse ?22) =>= additive_identity
% 0.09/0.29 [22] by multiplicative_inverse1 ?22
% 0.09/0.29 30006: Id : 10, {_}:
% 0.09/0.29 add a b =>= multiplicative_identity
% 0.09/0.29 [] by b_a_multiplicative_identity
% 0.09/0.29 30006: Id : 11, {_}: multiply a b =>= additive_identity [] by b_an_additive_identity
% 0.09/0.29 30006: Goal:
% 0.09/0.29 30006: Id : 1, {_}: b =<= inverse a [] by prove_a_inverse_is_b
% 0.14/0.38 Statistics :
% 0.14/0.39 Max weight : 11
% 0.14/0.39 Found proof, 0.091892s
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark.p
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark.p
% 0.14/0.39 Id : 8, {_}: add ?20 (inverse ?20) =>= multiplicative_identity [20] by additive_inverse1 ?20
% 0.14/0.39 Id : 11, {_}: multiply a b =>= additive_identity [] by b_an_additive_identity
% 0.14/0.39 Id : 5, {_}: multiply ?12 (add ?13 ?14) =<= add (multiply ?12 ?13) (multiply ?12 ?14) [14, 13, 12] by distributivity2 ?12 ?13 ?14
% 0.14/0.39 Id : 9, {_}: multiply ?22 (inverse ?22) =>= additive_identity [22] by multiplicative_inverse1 ?22
% 0.14/0.39 Id : 7, {_}: multiply ?18 multiplicative_identity =>= ?18 [18] by multiplicative_id1 ?18
% 0.14/0.39 Id : 3, {_}: multiply ?5 ?6 =?= multiply ?6 ?5 [6, 5] by commutativity_of_multiply ?5 ?6
% 0.14/0.39 Id : 10, {_}: add a b =>= multiplicative_identity [] by b_a_multiplicative_identity
% 0.14/0.39 Id : 2, {_}: add ?2 ?3 =?= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
% 0.14/0.39 Id : 6, {_}: add ?16 additive_identity =>= ?16 [16] by additive_id1 ?16
% 0.14/0.39 Id : 4, {_}: add ?8 (multiply ?9 ?10) =<= multiply (add ?8 ?9) (add ?8 ?10) [10, 9, 8] by distributivity1 ?8 ?9 ?10
% 0.14/0.39 Id : 716, {_}: add ?685 (multiply ?686 additive_identity) =<= multiply (add ?685 ?686) ?685 [686, 685] by Super 4 with 6 at 2,3
% 0.14/0.39 Id : 1275, {_}: add ?1131 (multiply ?1132 additive_identity) =<= multiply (add ?1132 ?1131) ?1131 [1132, 1131] by Super 716 with 2 at 1,3
% 0.14/0.39 Id : 90, {_}: add b a =>= multiplicative_identity [] by Demod 10 with 2 at 2
% 0.14/0.39 Id : 93, {_}: add b (multiply a ?229) =<= multiply multiplicative_identity (add b ?229) [229] by Super 4 with 90 at 1,3
% 0.14/0.39 Id : 66, {_}: multiply multiplicative_identity ?180 =>= ?180 [180] by Super 3 with 7 at 3
% 0.14/0.39 Id : 228, {_}: add b (multiply a ?342) =>= add b ?342 [342] by Demod 93 with 66 at 3
% 0.14/0.39 Id : 231, {_}: add b additive_identity =<= add b (inverse a) [] by Super 228 with 9 at 2,2
% 0.14/0.39 Id : 239, {_}: b =<= add b (inverse a) [] by Demod 231 with 6 at 2
% 0.14/0.39 Id : 1296, {_}: add (inverse a) (multiply b additive_identity) =>= multiply b (inverse a) [] by Super 1275 with 239 at 1,3
% 0.14/0.39 Id : 99, {_}: multiply b a =>= additive_identity [] by Demod 11 with 3 at 2
% 0.14/0.39 Id : 101, {_}: multiply b (add a ?235) =>= add additive_identity (multiply b ?235) [235] by Super 5 with 99 at 1,3
% 0.14/0.39 Id : 58, {_}: add additive_identity ?162 =>= ?162 [162] by Super 2 with 6 at 3
% 0.14/0.39 Id : 293, {_}: multiply b (add a ?401) =>= multiply b ?401 [401] by Demod 101 with 58 at 3
% 0.14/0.39 Id : 295, {_}: multiply b a =<= multiply b additive_identity [] by Super 293 with 6 at 2,2
% 0.14/0.39 Id : 303, {_}: additive_identity =<= multiply b additive_identity [] by Demod 295 with 99 at 2
% 0.14/0.39 Id : 1370, {_}: add (inverse a) additive_identity =<= multiply b (inverse a) [] by Demod 1296 with 303 at 2,2
% 0.14/0.39 Id : 296, {_}: multiply b multiplicative_identity =<= multiply b (inverse a) [] by Super 293 with 8 at 2,2
% 0.14/0.39 Id : 304, {_}: b =<= multiply b (inverse a) [] by Demod 296 with 7 at 2
% 0.14/0.39 Id : 1371, {_}: add (inverse a) additive_identity =>= b [] by Demod 1370 with 304 at 3
% 0.14/0.39 Id : 1372, {_}: add additive_identity (inverse a) =>= b [] by Demod 1371 with 2 at 2
% 0.14/0.39 Id : 1373, {_}: inverse a =>= b [] by Demod 1372 with 58 at 2
% 0.14/0.39 Id : 1420, {_}: b === b [] by Demod 1 with 1373 at 3
% 0.14/0.39 Id : 1, {_}: b =<= inverse a [] by prove_a_inverse_is_b
% 0.14/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.39 30009: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.092916 using nrkbo
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