TSTP Solution File: BOO005-2 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : BOO005-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/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 23:44:10 EDT 2022
% Result : Unsatisfiable 0.19s 0.44s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO005-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 1 15:52:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 22688: Facts:
% 0.13/0.35 22688: Id : 2, {_}: add ?2 ?3 =?= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
% 0.13/0.35 22688: Id : 3, {_}:
% 0.13/0.35 multiply ?5 ?6 =?= multiply ?6 ?5
% 0.13/0.35 [6, 5] by commutativity_of_multiply ?5 ?6
% 0.13/0.35 22688: Id : 4, {_}:
% 0.13/0.35 add (multiply ?8 ?9) ?10 =<= multiply (add ?8 ?10) (add ?9 ?10)
% 0.13/0.35 [10, 9, 8] by distributivity1 ?8 ?9 ?10
% 0.13/0.35 22688: Id : 5, {_}:
% 0.13/0.35 add ?12 (multiply ?13 ?14) =<= multiply (add ?12 ?13) (add ?12 ?14)
% 0.13/0.35 [14, 13, 12] by distributivity2 ?12 ?13 ?14
% 0.13/0.35 22688: Id : 6, {_}:
% 0.13/0.35 multiply (add ?16 ?17) ?18
% 0.13/0.35 =<=
% 0.13/0.35 add (multiply ?16 ?18) (multiply ?17 ?18)
% 0.13/0.35 [18, 17, 16] by distributivity3 ?16 ?17 ?18
% 0.13/0.35 22688: Id : 7, {_}:
% 0.13/0.35 multiply ?20 (add ?21 ?22)
% 0.13/0.35 =<=
% 0.13/0.35 add (multiply ?20 ?21) (multiply ?20 ?22)
% 0.13/0.35 [22, 21, 20] by distributivity4 ?20 ?21 ?22
% 0.13/0.35 22688: Id : 8, {_}:
% 0.13/0.35 add ?24 (inverse ?24) =>= multiplicative_identity
% 0.13/0.35 [24] by additive_inverse1 ?24
% 0.13/0.35 22688: Id : 9, {_}:
% 0.13/0.35 add (inverse ?26) ?26 =>= multiplicative_identity
% 0.13/0.35 [26] by additive_inverse2 ?26
% 0.13/0.35 22688: Id : 10, {_}:
% 0.13/0.35 multiply ?28 (inverse ?28) =>= additive_identity
% 0.13/0.35 [28] by multiplicative_inverse1 ?28
% 0.13/0.35 22688: Id : 11, {_}:
% 0.13/0.35 multiply (inverse ?30) ?30 =>= additive_identity
% 0.13/0.35 [30] by multiplicative_inverse2 ?30
% 0.13/0.35 22688: Id : 12, {_}:
% 0.13/0.35 multiply ?32 multiplicative_identity =>= ?32
% 0.13/0.35 [32] by multiplicative_id1 ?32
% 0.13/0.35 22688: Id : 13, {_}:
% 0.13/0.35 multiply multiplicative_identity ?34 =>= ?34
% 0.13/0.35 [34] by multiplicative_id2 ?34
% 0.13/0.35 22688: Id : 14, {_}: add ?36 additive_identity =>= ?36 [36] by additive_id1 ?36
% 0.13/0.35 22688: Id : 15, {_}: add additive_identity ?38 =>= ?38 [38] by additive_id2 ?38
% 0.13/0.35 22688: Goal:
% 0.13/0.35 22688: Id : 1, {_}:
% 0.13/0.35 add a multiplicative_identity =>= multiplicative_identity
% 0.13/0.35 [] by prove_a_plus_1_is_a
% 0.19/0.44 Statistics :
% 0.19/0.44 Max weight : 11
% 0.19/0.44 Found proof, 0.095585s
% 0.19/0.44 % SZS status Unsatisfiable for theBenchmark.p
% 0.19/0.44 % SZS output start CNFRefutation for theBenchmark.p
% 0.19/0.44 Id : 12, {_}: multiply ?32 multiplicative_identity =>= ?32 [32] by multiplicative_id1 ?32
% 0.19/0.44 Id : 13, {_}: multiply multiplicative_identity ?34 =>= ?34 [34] by multiplicative_id2 ?34
% 0.19/0.44 Id : 8, {_}: add ?24 (inverse ?24) =>= multiplicative_identity [24] by additive_inverse1 ?24
% 0.19/0.44 Id : 5, {_}: add ?12 (multiply ?13 ?14) =<= multiply (add ?12 ?13) (add ?12 ?14) [14, 13, 12] by distributivity2 ?12 ?13 ?14
% 0.19/0.44 Id : 115, {_}: add ?335 (multiply (inverse ?335) ?336) =>= multiply multiplicative_identity (add ?335 ?336) [336, 335] by Super 5 with 8 at 1,3
% 0.19/0.44 Id : 1326, {_}: add ?1591 (multiply (inverse ?1591) ?1592) =>= add ?1591 ?1592 [1592, 1591] by Demod 115 with 13 at 3
% 0.19/0.44 Id : 1332, {_}: add ?1605 (inverse ?1605) =>= add ?1605 multiplicative_identity [1605] by Super 1326 with 12 at 2,2
% 0.19/0.44 Id : 1362, {_}: multiplicative_identity =<= add ?1605 multiplicative_identity [1605] by Demod 1332 with 8 at 2
% 0.19/0.44 Id : 1437, {_}: multiplicative_identity === multiplicative_identity [] by Demod 1 with 1362 at 2
% 0.19/0.44 Id : 1, {_}: add a multiplicative_identity =>= multiplicative_identity [] by prove_a_plus_1_is_a
% 0.19/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.44 22691: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.097152 using nrkbo
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