TSTP Solution File: BOO012-2 by Matita---1.0
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% File : Matita---1.0
% Problem : BOO012-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n018.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 0.19s 0.49s
% 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
% 0.11/0.12 % Problem : BOO012-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 1 15:40:59 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 2643: Facts:
% 0.12/0.34 2643: Id : 2, {_}: add ?2 ?3 =?= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
% 0.12/0.34 2643: 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 2643: Id : 4, {_}:
% 0.12/0.34 add (multiply ?8 ?9) ?10 =<= multiply (add ?8 ?10) (add ?9 ?10)
% 0.12/0.34 [10, 9, 8] by distributivity1 ?8 ?9 ?10
% 0.12/0.34 2643: Id : 5, {_}:
% 0.12/0.34 add ?12 (multiply ?13 ?14) =<= multiply (add ?12 ?13) (add ?12 ?14)
% 0.12/0.34 [14, 13, 12] by distributivity2 ?12 ?13 ?14
% 0.12/0.34 2643: Id : 6, {_}:
% 0.12/0.34 multiply (add ?16 ?17) ?18
% 0.12/0.34 =<=
% 0.12/0.34 add (multiply ?16 ?18) (multiply ?17 ?18)
% 0.12/0.34 [18, 17, 16] by distributivity3 ?16 ?17 ?18
% 0.12/0.34 2643: Id : 7, {_}:
% 0.12/0.34 multiply ?20 (add ?21 ?22)
% 0.12/0.34 =<=
% 0.12/0.34 add (multiply ?20 ?21) (multiply ?20 ?22)
% 0.12/0.34 [22, 21, 20] by distributivity4 ?20 ?21 ?22
% 0.12/0.34 2643: Id : 8, {_}:
% 0.12/0.34 add ?24 (inverse ?24) =>= multiplicative_identity
% 0.12/0.34 [24] by additive_inverse1 ?24
% 0.12/0.34 2643: Id : 9, {_}:
% 0.12/0.34 add (inverse ?26) ?26 =>= multiplicative_identity
% 0.12/0.34 [26] by additive_inverse2 ?26
% 0.12/0.34 2643: Id : 10, {_}:
% 0.12/0.34 multiply ?28 (inverse ?28) =>= additive_identity
% 0.12/0.34 [28] by multiplicative_inverse1 ?28
% 0.12/0.34 2643: Id : 11, {_}:
% 0.12/0.34 multiply (inverse ?30) ?30 =>= additive_identity
% 0.12/0.34 [30] by multiplicative_inverse2 ?30
% 0.12/0.34 2643: Id : 12, {_}:
% 0.12/0.34 multiply ?32 multiplicative_identity =>= ?32
% 0.12/0.34 [32] by multiplicative_id1 ?32
% 0.12/0.34 2643: Id : 13, {_}:
% 0.12/0.34 multiply multiplicative_identity ?34 =>= ?34
% 0.12/0.34 [34] by multiplicative_id2 ?34
% 0.12/0.34 2643: Id : 14, {_}: add ?36 additive_identity =>= ?36 [36] by additive_id1 ?36
% 0.12/0.34 2643: Id : 15, {_}: add additive_identity ?38 =>= ?38 [38] by additive_id2 ?38
% 0.12/0.34 2643: Goal:
% 0.12/0.34 2643: Id : 1, {_}: inverse (inverse x) =>= x [] by prove_inverse_is_an_involution
% 0.19/0.49 Statistics :
% 0.19/0.49 Max weight : 13
% 0.19/0.49 Found proof, 0.153641s
% 0.19/0.49 % SZS status Unsatisfiable for theBenchmark.p
% 0.19/0.49 % SZS output start CNFRefutation for theBenchmark.p
% 0.19/0.49 Id : 14, {_}: add ?36 additive_identity =>= ?36 [36] by additive_id1 ?36
% 0.19/0.49 Id : 8, {_}: add ?24 (inverse ?24) =>= multiplicative_identity [24] by additive_inverse1 ?24
% 0.19/0.49 Id : 5, {_}: add ?12 (multiply ?13 ?14) =<= multiply (add ?12 ?13) (add ?12 ?14) [14, 13, 12] by distributivity2 ?12 ?13 ?14
% 0.19/0.49 Id : 15, {_}: add additive_identity ?38 =>= ?38 [38] by additive_id2 ?38
% 0.19/0.49 Id : 10, {_}: multiply ?28 (inverse ?28) =>= additive_identity [28] by multiplicative_inverse1 ?28
% 0.19/0.49 Id : 7, {_}: multiply ?20 (add ?21 ?22) =<= add (multiply ?20 ?21) (multiply ?20 ?22) [22, 21, 20] by distributivity4 ?20 ?21 ?22
% 0.19/0.49 Id : 13, {_}: multiply multiplicative_identity ?34 =>= ?34 [34] by multiplicative_id2 ?34
% 0.19/0.49 Id : 3, {_}: multiply ?5 ?6 =?= multiply ?6 ?5 [6, 5] by commutativity_of_multiply ?5 ?6
% 0.19/0.49 Id : 9, {_}: add (inverse ?26) ?26 =>= multiplicative_identity [26] by additive_inverse2 ?26
% 0.19/0.49 Id : 4, {_}: add (multiply ?8 ?9) ?10 =<= multiply (add ?8 ?10) (add ?9 ?10) [10, 9, 8] by distributivity1 ?8 ?9 ?10
% 0.19/0.49 Id : 128, {_}: add (multiply ?355 (inverse ?356)) ?356 =>= multiply (add ?355 ?356) multiplicative_identity [356, 355] by Super 4 with 9 at 2,3
% 0.19/0.49 Id : 134, {_}: add (multiply ?355 (inverse ?356)) ?356 =>= multiply multiplicative_identity (add ?355 ?356) [356, 355] by Demod 128 with 3 at 3
% 0.19/0.49 Id : 2544, {_}: add (multiply ?355 (inverse ?356)) ?356 =>= add ?355 ?356 [356, 355] by Demod 134 with 13 at 3
% 0.19/0.49 Id : 145, {_}: multiply ?381 (add (inverse ?381) ?382) =>= add additive_identity (multiply ?381 ?382) [382, 381] by Super 7 with 10 at 1,3
% 0.19/0.49 Id : 2643, {_}: multiply ?2768 (add (inverse ?2768) ?2769) =>= multiply ?2768 ?2769 [2769, 2768] by Demod 145 with 15 at 3
% 0.19/0.49 Id : 115, {_}: add ?335 (multiply (inverse ?335) ?336) =>= multiply multiplicative_identity (add ?335 ?336) [336, 335] by Super 5 with 8 at 1,3
% 0.19/0.49 Id : 1330, {_}: add ?1604 (multiply (inverse ?1604) ?1605) =>= add ?1604 ?1605 [1605, 1604] by Demod 115 with 13 at 3
% 0.19/0.49 Id : 1334, {_}: add ?1614 additive_identity =<= add ?1614 (inverse (inverse ?1614)) [1614] by Super 1330 with 10 at 2,2
% 0.19/0.49 Id : 1369, {_}: ?1614 =<= add ?1614 (inverse (inverse ?1614)) [1614] by Demod 1334 with 14 at 2
% 0.19/0.49 Id : 2658, {_}: multiply ?2805 (inverse ?2805) =<= multiply ?2805 (inverse (inverse (inverse ?2805))) [2805] by Super 2643 with 1369 at 2,2
% 0.19/0.49 Id : 2728, {_}: additive_identity =<= multiply ?2805 (inverse (inverse (inverse ?2805))) [2805] by Demod 2658 with 10 at 2
% 0.19/0.49 Id : 2911, {_}: add additive_identity (inverse (inverse ?2973)) =?= add ?2973 (inverse (inverse ?2973)) [2973] by Super 2544 with 2728 at 1,2
% 0.19/0.49 Id : 2921, {_}: inverse (inverse ?2973) =<= add ?2973 (inverse (inverse ?2973)) [2973] by Demod 2911 with 15 at 2
% 0.19/0.49 Id : 2922, {_}: inverse (inverse ?2973) =>= ?2973 [2973] by Demod 2921 with 1369 at 3
% 0.19/0.49 Id : 2978, {_}: x === x [] by Demod 1 with 2922 at 2
% 0.19/0.49 Id : 1, {_}: inverse (inverse x) =>= x [] by prove_inverse_is_an_involution
% 0.19/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.49 2646: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.155477 using nrkbo
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