TSTP Solution File: BOO018-4 by Matita---1.0
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% File : Matita---1.0
% Problem : BOO018-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n025.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 23:44:14 EDT 2022
% Result : Unsatisfiable 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : BOO018-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.04/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 1 21:45:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 8707: Facts:
% 0.12/0.34 8707: Id : 2, {_}: add ?2 ?3 =?= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
% 0.12/0.34 8707: 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 8707: 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 8707: 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 8707: Id : 6, {_}: add ?16 additive_identity =>= ?16 [16] by additive_id1 ?16
% 0.12/0.34 8707: Id : 7, {_}:
% 0.12/0.34 multiply ?18 multiplicative_identity =>= ?18
% 0.12/0.34 [18] by multiplicative_id1 ?18
% 0.12/0.34 8707: 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 8707: 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 8707: Goal:
% 0.12/0.34 8707: Id : 1, {_}:
% 0.12/0.34 inverse multiplicative_identity =>= additive_identity
% 0.12/0.34 [] by prove_inverse_of_1_is_0
% 0.12/0.35 Statistics :
% 0.12/0.35 Max weight : 10
% 0.12/0.35 Found proof, 0.008605s
% 0.12/0.35 % SZS status Unsatisfiable for theBenchmark.p
% 0.12/0.35 % SZS output start CNFRefutation for theBenchmark.p
% 0.12/0.35 Id : 7, {_}: multiply ?18 multiplicative_identity =>= ?18 [18] by multiplicative_id1 ?18
% 0.12/0.35 Id : 3, {_}: multiply ?5 ?6 =?= multiply ?6 ?5 [6, 5] by commutativity_of_multiply ?5 ?6
% 0.12/0.35 Id : 9, {_}: multiply ?22 (inverse ?22) =>= additive_identity [22] by multiplicative_inverse1 ?22
% 0.12/0.35 Id : 64, {_}: multiply multiplicative_identity ?178 =>= ?178 [178] by Super 3 with 7 at 3
% 0.12/0.35 Id : 132, {_}: inverse multiplicative_identity =>= additive_identity [] by Super 9 with 64 at 2
% 0.12/0.35 Id : 158, {_}: additive_identity === additive_identity [] by Demod 1 with 132 at 2
% 0.12/0.35 Id : 1, {_}: inverse multiplicative_identity =>= additive_identity [] by prove_inverse_of_1_is_0
% 0.12/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.35 8710: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.009265 using nrkbo
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