TSTP Solution File: BOO010-4 by Matita---1.0
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% File : Matita---1.0
% Problem : BOO010-4 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n028.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 0.96s 0.56s
% Output : CNFRefutation 0.96s
% 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 : BOO010-4 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.11/0.33 % Computer : n028.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Thu Jun 2 00:26:08 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.11/0.33 19107: Facts:
% 0.11/0.33 19107: Id : 2, {_}: add ?2 ?3 =?= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
% 0.11/0.33 19107: Id : 3, {_}:
% 0.11/0.33 multiply ?5 ?6 =?= multiply ?6 ?5
% 0.11/0.33 [6, 5] by commutativity_of_multiply ?5 ?6
% 0.11/0.33 19107: Id : 4, {_}:
% 0.11/0.33 add ?8 (multiply ?9 ?10) =<= multiply (add ?8 ?9) (add ?8 ?10)
% 0.11/0.33 [10, 9, 8] by distributivity1 ?8 ?9 ?10
% 0.11/0.33 19107: Id : 5, {_}:
% 0.11/0.33 multiply ?12 (add ?13 ?14)
% 0.11/0.33 =<=
% 0.11/0.33 add (multiply ?12 ?13) (multiply ?12 ?14)
% 0.11/0.33 [14, 13, 12] by distributivity2 ?12 ?13 ?14
% 0.11/0.33 19107: Id : 6, {_}: add ?16 additive_identity =>= ?16 [16] by additive_id1 ?16
% 0.11/0.33 19107: Id : 7, {_}:
% 0.11/0.33 multiply ?18 multiplicative_identity =>= ?18
% 0.11/0.33 [18] by multiplicative_id1 ?18
% 0.11/0.33 19107: Id : 8, {_}:
% 0.11/0.33 add ?20 (inverse ?20) =>= multiplicative_identity
% 0.11/0.33 [20] by additive_inverse1 ?20
% 0.11/0.33 19107: Id : 9, {_}:
% 0.11/0.33 multiply ?22 (inverse ?22) =>= additive_identity
% 0.11/0.33 [22] by multiplicative_inverse1 ?22
% 0.11/0.33 19107: Goal:
% 0.11/0.33 19107: Id : 1, {_}: add a (multiply a b) =>= a [] by prove_a_plus_ab_is_a
% 0.96/0.56 Statistics :
% 0.96/0.56 Max weight : 15
% 0.96/0.56 Found proof, 0.229326s
% 0.96/0.56 % SZS status Unsatisfiable for theBenchmark.p
% 0.96/0.56 % SZS output start CNFRefutation for theBenchmark.p
% 0.96/0.56 Id : 8, {_}: add ?20 (inverse ?20) =>= multiplicative_identity [20] by additive_inverse1 ?20
% 0.96/0.56 Id : 4, {_}: add ?8 (multiply ?9 ?10) =<= multiply (add ?8 ?9) (add ?8 ?10) [10, 9, 8] by distributivity1 ?8 ?9 ?10
% 0.96/0.56 Id : 2, {_}: add ?2 ?3 =?= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
% 0.96/0.56 Id : 7, {_}: multiply ?18 multiplicative_identity =>= ?18 [18] by multiplicative_id1 ?18
% 0.96/0.56 Id : 3, {_}: multiply ?5 ?6 =?= multiply ?6 ?5 [6, 5] by commutativity_of_multiply ?5 ?6
% 0.96/0.56 Id : 38, {_}: multiply ?112 (add ?113 ?114) =<= add (multiply ?112 ?113) (multiply ?112 ?114) [114, 113, 112] by distributivity2 ?112 ?113 ?114
% 0.96/0.56 Id : 1685, {_}: multiply ?2351 (add ?2352 ?2353) =<= add (multiply ?2352 ?2351) (multiply ?2351 ?2353) [2353, 2352, 2351] by Super 38 with 3 at 1,3
% 0.96/0.56 Id : 64, {_}: multiply multiplicative_identity ?178 =>= ?178 [178] by Super 3 with 7 at 3
% 0.96/0.56 Id : 1708, {_}: multiply ?2436 (add multiplicative_identity ?2437) =?= add ?2436 (multiply ?2436 ?2437) [2437, 2436] by Super 1685 with 64 at 1,3
% 0.96/0.56 Id : 71, {_}: add ?193 (multiply (inverse ?193) ?194) =>= multiply multiplicative_identity (add ?193 ?194) [194, 193] by Super 4 with 8 at 1,3
% 0.96/0.56 Id : 1478, {_}: add ?2102 (multiply (inverse ?2102) ?2103) =>= add ?2102 ?2103 [2103, 2102] by Demod 71 with 64 at 3
% 0.96/0.56 Id : 1482, {_}: add ?2112 (inverse ?2112) =>= add ?2112 multiplicative_identity [2112] by Super 1478 with 7 at 2,2
% 0.96/0.56 Id : 1520, {_}: multiplicative_identity =<= add ?2112 multiplicative_identity [2112] by Demod 1482 with 8 at 2
% 0.96/0.56 Id : 1537, {_}: add multiplicative_identity ?2165 =>= multiplicative_identity [2165] by Super 2 with 1520 at 3
% 0.96/0.56 Id : 1773, {_}: multiply ?2436 multiplicative_identity =<= add ?2436 (multiply ?2436 ?2437) [2437, 2436] by Demod 1708 with 1537 at 2,2
% 0.96/0.56 Id : 1774, {_}: ?2436 =<= add ?2436 (multiply ?2436 ?2437) [2437, 2436] by Demod 1773 with 7 at 2
% 0.96/0.56 Id : 3239, {_}: a === a [] by Demod 1 with 1774 at 2
% 0.96/0.56 Id : 1, {_}: add a (multiply a b) =>= a [] by prove_a_plus_ab_is_a
% 0.96/0.56 % SZS output end CNFRefutation for theBenchmark.p
% 0.96/0.56 19107: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.23119 using nrkbo
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