TSTP Solution File: BOO012-4 by Matita---1.0
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% File : Matita---1.0
% Problem : BOO012-4 : 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 23:44:12 EDT 2022
% Result : Unsatisfiable 0.16s 0.44s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : BOO012-4 : TPTP v8.1.0. Released v1.1.0.
% 0.09/0.10 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.09/0.31 % Computer : n021.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 600
% 0.09/0.31 % DateTime : Wed Jun 1 17:24:46 EDT 2022
% 0.09/0.31 % CPUTime :
% 0.09/0.31 7677: Facts:
% 0.09/0.31 7677: Id : 2, {_}: add ?2 ?3 =?= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
% 0.09/0.31 7677: Id : 3, {_}:
% 0.09/0.31 multiply ?5 ?6 =?= multiply ?6 ?5
% 0.09/0.31 [6, 5] by commutativity_of_multiply ?5 ?6
% 0.09/0.31 7677: Id : 4, {_}:
% 0.09/0.31 add ?8 (multiply ?9 ?10) =<= multiply (add ?8 ?9) (add ?8 ?10)
% 0.09/0.31 [10, 9, 8] by distributivity1 ?8 ?9 ?10
% 0.09/0.31 7677: Id : 5, {_}:
% 0.09/0.31 multiply ?12 (add ?13 ?14)
% 0.09/0.31 =<=
% 0.09/0.31 add (multiply ?12 ?13) (multiply ?12 ?14)
% 0.09/0.31 [14, 13, 12] by distributivity2 ?12 ?13 ?14
% 0.09/0.31 7677: Id : 6, {_}: add ?16 additive_identity =>= ?16 [16] by additive_id1 ?16
% 0.09/0.31 7677: Id : 7, {_}:
% 0.09/0.31 multiply ?18 multiplicative_identity =>= ?18
% 0.09/0.31 [18] by multiplicative_id1 ?18
% 0.09/0.31 7677: Id : 8, {_}:
% 0.09/0.31 add ?20 (inverse ?20) =>= multiplicative_identity
% 0.09/0.31 [20] by additive_inverse1 ?20
% 0.09/0.31 7677: Id : 9, {_}:
% 0.09/0.31 multiply ?22 (inverse ?22) =>= additive_identity
% 0.09/0.31 [22] by multiplicative_inverse1 ?22
% 0.09/0.31 7677: Goal:
% 0.09/0.31 7677: Id : 1, {_}: inverse (inverse x) =>= x [] by prove_inverse_is_an_involution
% 0.16/0.44 Statistics :
% 0.16/0.44 Max weight : 13
% 0.16/0.44 Found proof, 0.127651s
% 0.16/0.44 % SZS status Unsatisfiable for theBenchmark.p
% 0.16/0.44 % SZS output start CNFRefutation for theBenchmark.p
% 0.16/0.44 Id : 6, {_}: add ?16 additive_identity =>= ?16 [16] by additive_id1 ?16
% 0.16/0.44 Id : 2, {_}: add ?2 ?3 =?= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
% 0.16/0.44 Id : 9, {_}: multiply ?22 (inverse ?22) =>= additive_identity [22] by multiplicative_inverse1 ?22
% 0.16/0.44 Id : 5, {_}: multiply ?12 (add ?13 ?14) =<= add (multiply ?12 ?13) (multiply ?12 ?14) [14, 13, 12] by distributivity2 ?12 ?13 ?14
% 0.16/0.44 Id : 7, {_}: multiply ?18 multiplicative_identity =>= ?18 [18] by multiplicative_id1 ?18
% 0.16/0.44 Id : 3, {_}: multiply ?5 ?6 =?= multiply ?6 ?5 [6, 5] by commutativity_of_multiply ?5 ?6
% 0.16/0.44 Id : 8, {_}: add ?20 (inverse ?20) =>= multiplicative_identity [20] by additive_inverse1 ?20
% 0.16/0.44 Id : 4, {_}: add ?8 (multiply ?9 ?10) =<= multiply (add ?8 ?9) (add ?8 ?10) [10, 9, 8] by distributivity1 ?8 ?9 ?10
% 0.16/0.44 Id : 70, {_}: add ?190 (multiply ?191 (inverse ?190)) =>= multiply (add ?190 ?191) multiplicative_identity [191, 190] by Super 4 with 8 at 2,3
% 0.16/0.44 Id : 78, {_}: add ?190 (multiply ?191 (inverse ?190)) =>= multiply multiplicative_identity (add ?190 ?191) [191, 190] by Demod 70 with 3 at 3
% 0.16/0.44 Id : 64, {_}: multiply multiplicative_identity ?178 =>= ?178 [178] by Super 3 with 7 at 3
% 0.16/0.44 Id : 1802, {_}: add ?190 (multiply ?191 (inverse ?190)) =>= add ?190 ?191 [191, 190] by Demod 78 with 64 at 3
% 0.16/0.44 Id : 80, {_}: multiply ?210 (add (inverse ?210) ?211) =>= add additive_identity (multiply ?210 ?211) [211, 210] by Super 5 with 9 at 1,3
% 0.16/0.44 Id : 56, {_}: add additive_identity ?160 =>= ?160 [160] by Super 2 with 6 at 3
% 0.16/0.44 Id : 1884, {_}: multiply ?1778 (add (inverse ?1778) ?1779) =>= multiply ?1778 ?1779 [1779, 1778] by Demod 80 with 56 at 3
% 0.16/0.44 Id : 71, {_}: add ?193 (multiply (inverse ?193) ?194) =>= multiply multiplicative_identity (add ?193 ?194) [194, 193] by Super 4 with 8 at 1,3
% 0.16/0.44 Id : 965, {_}: add ?1030 (multiply (inverse ?1030) ?1031) =>= add ?1030 ?1031 [1031, 1030] by Demod 71 with 64 at 3
% 0.16/0.44 Id : 970, {_}: add ?1042 additive_identity =<= add ?1042 (inverse (inverse ?1042)) [1042] by Super 965 with 9 at 2,2
% 0.16/0.44 Id : 1004, {_}: ?1042 =<= add ?1042 (inverse (inverse ?1042)) [1042] by Demod 970 with 6 at 2
% 0.16/0.44 Id : 1900, {_}: multiply ?1817 (inverse ?1817) =<= multiply ?1817 (inverse (inverse (inverse ?1817))) [1817] by Super 1884 with 1004 at 2,2
% 0.16/0.44 Id : 1965, {_}: additive_identity =<= multiply ?1817 (inverse (inverse (inverse ?1817))) [1817] by Demod 1900 with 9 at 2
% 0.16/0.44 Id : 2127, {_}: add (inverse (inverse ?1942)) additive_identity =?= add (inverse (inverse ?1942)) ?1942 [1942] by Super 1802 with 1965 at 2,2
% 0.16/0.44 Id : 2137, {_}: add additive_identity (inverse (inverse ?1942)) =<= add (inverse (inverse ?1942)) ?1942 [1942] by Demod 2127 with 2 at 2
% 0.16/0.44 Id : 1141, {_}: add (inverse (inverse ?1194)) ?1194 =>= ?1194 [1194] by Super 2 with 1004 at 3
% 0.16/0.44 Id : 2138, {_}: add additive_identity (inverse (inverse ?1942)) =>= ?1942 [1942] by Demod 2137 with 1141 at 3
% 0.16/0.44 Id : 2139, {_}: inverse (inverse ?1942) =>= ?1942 [1942] by Demod 2138 with 56 at 2
% 0.16/0.44 Id : 2182, {_}: x === x [] by Demod 1 with 2139 at 2
% 0.16/0.44 Id : 1, {_}: inverse (inverse x) =>= x [] by prove_inverse_is_an_involution
% 0.16/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.44 7680: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.128986 using nrkbo
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