TSTP Solution File: BOO006-2 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : BOO006-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n024.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 0.79s 0.51s
% Output : CNFRefutation 0.79s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : BOO006-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Wed Jun 1 20:40:36 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 15888: Facts:
% 0.13/0.35 15888: Id : 2, {_}: add ?2 ?3 =?= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
% 0.13/0.35 15888: 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 15888: 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 15888: 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 15888: 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 15888: 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 15888: 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 15888: 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 15888: 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 15888: 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 15888: Id : 12, {_}:
% 0.13/0.35 multiply ?32 multiplicative_identity =>= ?32
% 0.13/0.35 [32] by multiplicative_id1 ?32
% 0.13/0.35 15888: Id : 13, {_}:
% 0.13/0.35 multiply multiplicative_identity ?34 =>= ?34
% 0.13/0.35 [34] by multiplicative_id2 ?34
% 0.13/0.35 15888: Id : 14, {_}: add ?36 additive_identity =>= ?36 [36] by additive_id1 ?36
% 0.13/0.35 15888: Id : 15, {_}: add additive_identity ?38 =>= ?38 [38] by additive_id2 ?38
% 0.13/0.35 15888: Goal:
% 0.13/0.35 15888: Id : 1, {_}:
% 0.13/0.35 multiply a additive_identity =>= additive_identity
% 0.13/0.35 [] by prove_right_identity
% 0.79/0.51 Statistics :
% 0.79/0.51 Max weight : 11
% 0.79/0.51 Found proof, 0.159911s
% 0.79/0.51 % SZS status Unsatisfiable for theBenchmark.p
% 0.79/0.51 % SZS output start CNFRefutation for theBenchmark.p
% 0.79/0.51 Id : 11, {_}: multiply (inverse ?30) ?30 =>= additive_identity [30] by multiplicative_inverse2 ?30
% 0.79/0.51 Id : 2, {_}: add ?2 ?3 =?= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
% 0.79/0.51 Id : 10, {_}: multiply ?28 (inverse ?28) =>= additive_identity [28] by multiplicative_inverse1 ?28
% 0.79/0.51 Id : 9, {_}: add (inverse ?26) ?26 =>= multiplicative_identity [26] by additive_inverse2 ?26
% 0.79/0.51 Id : 12, {_}: multiply ?32 multiplicative_identity =>= ?32 [32] by multiplicative_id1 ?32
% 0.79/0.51 Id : 7, {_}: multiply ?20 (add ?21 ?22) =<= add (multiply ?20 ?21) (multiply ?20 ?22) [22, 21, 20] by distributivity4 ?20 ?21 ?22
% 0.79/0.51 Id : 13, {_}: multiply multiplicative_identity ?34 =>= ?34 [34] by multiplicative_id2 ?34
% 0.79/0.51 Id : 8, {_}: add ?24 (inverse ?24) =>= multiplicative_identity [24] by additive_inverse1 ?24
% 0.79/0.51 Id : 14, {_}: add ?36 additive_identity =>= ?36 [36] by additive_id1 ?36
% 0.79/0.51 Id : 5, {_}: add ?12 (multiply ?13 ?14) =<= multiply (add ?12 ?13) (add ?12 ?14) [14, 13, 12] by distributivity2 ?12 ?13 ?14
% 0.79/0.51 Id : 15, {_}: add additive_identity ?38 =>= ?38 [38] by additive_id2 ?38
% 0.79/0.51 Id : 4, {_}: add (multiply ?8 ?9) ?10 =<= multiply (add ?8 ?10) (add ?9 ?10) [10, 9, 8] by distributivity1 ?8 ?9 ?10
% 0.79/0.51 Id : 3, {_}: multiply ?5 ?6 =?= multiply ?6 ?5 [6, 5] by commutativity_of_multiply ?5 ?6
% 0.79/0.51 Id : 229, {_}: add (multiply additive_identity ?507) ?508 =<= multiply ?508 (add ?507 ?508) [508, 507] by Super 4 with 15 at 1,3
% 0.79/0.51 Id : 304, {_}: add ?561 (multiply ?562 additive_identity) =<= multiply (add ?561 ?562) ?561 [562, 561] by Super 5 with 14 at 2,3
% 0.79/0.51 Id : 306, {_}: add ?567 (multiply (inverse ?567) additive_identity) =>= multiply multiplicative_identity ?567 [567] by Super 304 with 8 at 1,3
% 0.79/0.51 Id : 322, {_}: add ?567 (multiply additive_identity (inverse ?567)) =>= multiply multiplicative_identity ?567 [567] by Demod 306 with 3 at 2,2
% 0.79/0.51 Id : 323, {_}: add ?567 (multiply additive_identity (inverse ?567)) =>= ?567 [567] by Demod 322 with 13 at 3
% 0.79/0.51 Id : 717, {_}: add (multiply additive_identity ?1079) (multiply additive_identity (inverse ?1079)) =>= multiply (multiply additive_identity (inverse ?1079)) ?1079 [1079] by Super 229 with 323 at 2,3
% 0.79/0.51 Id : 728, {_}: multiply additive_identity (add ?1079 (inverse ?1079)) =<= multiply (multiply additive_identity (inverse ?1079)) ?1079 [1079] by Demod 717 with 7 at 2
% 0.79/0.51 Id : 729, {_}: multiply additive_identity multiplicative_identity =<= multiply (multiply additive_identity (inverse ?1079)) ?1079 [1079] by Demod 728 with 8 at 2,2
% 0.79/0.51 Id : 730, {_}: additive_identity =<= multiply (multiply additive_identity (inverse ?1079)) ?1079 [1079] by Demod 729 with 12 at 2
% 0.79/0.51 Id : 1067, {_}: multiply ?1423 (multiply additive_identity (inverse ?1423)) =>= additive_identity [1423] by Super 3 with 730 at 3
% 0.79/0.51 Id : 428, {_}: add ?696 (multiply additive_identity ?697) =<= multiply ?696 (add ?696 ?697) [697, 696] by Super 5 with 14 at 1,3
% 0.79/0.51 Id : 431, {_}: add (inverse ?704) (multiply additive_identity ?704) =>= multiply (inverse ?704) multiplicative_identity [704] by Super 428 with 9 at 2,3
% 0.79/0.51 Id : 456, {_}: add (inverse ?704) (multiply additive_identity ?704) =>= multiply multiplicative_identity (inverse ?704) [704] by Demod 431 with 3 at 3
% 0.79/0.51 Id : 457, {_}: add (inverse ?704) (multiply additive_identity ?704) =>= inverse ?704 [704] by Demod 456 with 13 at 3
% 0.79/0.51 Id : 145, {_}: multiply ?381 (add (inverse ?381) ?382) =>= add additive_identity (multiply ?381 ?382) [382, 381] by Super 7 with 10 at 1,3
% 0.79/0.51 Id : 2627, {_}: multiply ?381 (add (inverse ?381) ?382) =>= multiply ?381 ?382 [382, 381] by Demod 145 with 15 at 3
% 0.79/0.51 Id : 2633, {_}: add (inverse (add (inverse additive_identity) ?2733)) (multiply additive_identity ?2733) =>= inverse (add (inverse additive_identity) ?2733) [2733] by Super 457 with 2627 at 2,2
% 0.79/0.51 Id : 214, {_}: inverse additive_identity =>= multiplicative_identity [] by Super 9 with 14 at 2
% 0.79/0.51 Id : 2689, {_}: add (inverse (add multiplicative_identity ?2733)) (multiply additive_identity ?2733) =>= inverse (add (inverse additive_identity) ?2733) [2733] by Demod 2633 with 214 at 1,1,1,2
% 0.79/0.51 Id : 2690, {_}: add (inverse (add multiplicative_identity ?2733)) (multiply additive_identity ?2733) =>= inverse (add multiplicative_identity ?2733) [2733] by Demod 2689 with 214 at 1,1,3
% 0.79/0.51 Id : 115, {_}: add ?335 (multiply (inverse ?335) ?336) =>= multiply multiplicative_identity (add ?335 ?336) [336, 335] by Super 5 with 8 at 1,3
% 0.79/0.51 Id : 1330, {_}: add ?1604 (multiply (inverse ?1604) ?1605) =>= add ?1604 ?1605 [1605, 1604] by Demod 115 with 13 at 3
% 0.79/0.51 Id : 1336, {_}: add ?1618 (inverse ?1618) =>= add ?1618 multiplicative_identity [1618] by Super 1330 with 12 at 2,2
% 0.79/0.51 Id : 1372, {_}: multiplicative_identity =<= add ?1618 multiplicative_identity [1618] by Demod 1336 with 8 at 2
% 0.79/0.51 Id : 1392, {_}: add multiplicative_identity ?1671 =>= multiplicative_identity [1671] by Super 2 with 1372 at 3
% 0.79/0.51 Id : 2691, {_}: add (inverse multiplicative_identity) (multiply additive_identity ?2733) =>= inverse (add multiplicative_identity ?2733) [2733] by Demod 2690 with 1392 at 1,1,2
% 0.79/0.51 Id : 2692, {_}: add (inverse multiplicative_identity) (multiply additive_identity ?2733) =>= inverse multiplicative_identity [2733] by Demod 2691 with 1392 at 1,3
% 0.79/0.51 Id : 176, {_}: inverse multiplicative_identity =>= additive_identity [] by Super 11 with 12 at 2
% 0.79/0.51 Id : 2693, {_}: add additive_identity (multiply additive_identity ?2733) =>= inverse multiplicative_identity [2733] by Demod 2692 with 176 at 1,2
% 0.79/0.51 Id : 2694, {_}: add additive_identity (multiply additive_identity ?2733) =>= additive_identity [2733] by Demod 2693 with 176 at 3
% 0.79/0.51 Id : 2695, {_}: multiply additive_identity ?2733 =>= additive_identity [2733] by Demod 2694 with 15 at 2
% 0.79/0.51 Id : 2748, {_}: multiply ?1423 additive_identity =>= additive_identity [1423] by Demod 1067 with 2695 at 2,2
% 0.79/0.51 Id : 2830, {_}: additive_identity === additive_identity [] by Demod 1 with 2748 at 2
% 0.79/0.51 Id : 1, {_}: multiply a additive_identity =>= additive_identity [] by prove_right_identity
% 0.79/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.79/0.51 15891: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.162065 using nrkbo
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