TSTP Solution File: RNG012-6 by Matita---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : RNG012-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n027.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 : Mon Jul 18 20:35:28 EDT 2022
% Result : Unsatisfiable 3.67s 1.30s
% Output : CNFRefutation 3.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG012-6 : 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 : n027.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 : Mon May 30 05:52:01 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 29586: Facts:
% 0.12/0.34 29586: Id : 2, {_}: add additive_identity ?2 =>= ?2 [2] by left_additive_identity ?2
% 0.12/0.34 29586: Id : 3, {_}:
% 0.12/0.34 add ?4 additive_identity =>= ?4
% 0.12/0.34 [4] by right_additive_identity ?4
% 0.12/0.34 29586: Id : 4, {_}:
% 0.12/0.34 multiply additive_identity ?6 =>= additive_identity
% 0.12/0.34 [6] by left_multiplicative_zero ?6
% 0.12/0.34 29586: Id : 5, {_}:
% 0.12/0.34 multiply ?8 additive_identity =>= additive_identity
% 0.12/0.34 [8] by right_multiplicative_zero ?8
% 0.12/0.34 29586: Id : 6, {_}:
% 0.12/0.34 add (additive_inverse ?10) ?10 =>= additive_identity
% 0.12/0.34 [10] by left_additive_inverse ?10
% 0.12/0.34 29586: Id : 7, {_}:
% 0.12/0.34 add ?12 (additive_inverse ?12) =>= additive_identity
% 0.12/0.34 [12] by right_additive_inverse ?12
% 0.12/0.34 29586: Id : 8, {_}:
% 0.12/0.34 additive_inverse (additive_inverse ?14) =>= ?14
% 0.12/0.34 [14] by additive_inverse_additive_inverse ?14
% 0.12/0.34 29586: Id : 9, {_}:
% 0.12/0.34 multiply ?16 (add ?17 ?18)
% 0.12/0.34 =<=
% 0.12/0.34 add (multiply ?16 ?17) (multiply ?16 ?18)
% 0.12/0.34 [18, 17, 16] by distribute1 ?16 ?17 ?18
% 0.12/0.34 29586: Id : 10, {_}:
% 0.12/0.34 multiply (add ?20 ?21) ?22
% 0.12/0.34 =<=
% 0.12/0.34 add (multiply ?20 ?22) (multiply ?21 ?22)
% 0.12/0.34 [22, 21, 20] by distribute2 ?20 ?21 ?22
% 0.12/0.34 29586: Id : 11, {_}:
% 0.12/0.34 add ?24 ?25 =?= add ?25 ?24
% 0.12/0.34 [25, 24] by commutativity_for_addition ?24 ?25
% 0.12/0.34 29586: Id : 12, {_}:
% 0.12/0.34 add ?27 (add ?28 ?29) =?= add (add ?27 ?28) ?29
% 0.12/0.34 [29, 28, 27] by associativity_for_addition ?27 ?28 ?29
% 0.12/0.34 29586: Id : 13, {_}:
% 0.12/0.34 multiply (multiply ?31 ?32) ?32 =?= multiply ?31 (multiply ?32 ?32)
% 0.12/0.34 [32, 31] by right_alternative ?31 ?32
% 0.12/0.34 29586: Id : 14, {_}:
% 0.12/0.34 multiply (multiply ?34 ?34) ?35 =?= multiply ?34 (multiply ?34 ?35)
% 0.12/0.34 [35, 34] by left_alternative ?34 ?35
% 0.12/0.34 29586: Id : 15, {_}:
% 0.12/0.34 associator ?37 ?38 ?39
% 0.12/0.34 =<=
% 0.12/0.34 add (multiply (multiply ?37 ?38) ?39)
% 0.12/0.34 (additive_inverse (multiply ?37 (multiply ?38 ?39)))
% 0.12/0.34 [39, 38, 37] by associator ?37 ?38 ?39
% 0.12/0.34 29586: Id : 16, {_}:
% 0.12/0.34 commutator ?41 ?42
% 0.12/0.34 =<=
% 0.12/0.34 add (multiply ?42 ?41) (additive_inverse (multiply ?41 ?42))
% 0.12/0.34 [42, 41] by commutator ?41 ?42
% 0.12/0.34 29586: Goal:
% 0.12/0.34 29586: Id : 1, {_}:
% 0.12/0.34 multiply (additive_inverse a) (additive_inverse b) =>= multiply a b
% 0.12/0.34 [] by prove_equation
% 3.67/1.30 Statistics :
% 3.67/1.30 Max weight : 12
% 3.67/1.30 Found proof, 0.966378s
% 3.67/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 3.67/1.30 % SZS output start CNFRefutation for theBenchmark.p
% 3.67/1.30 Id : 3, {_}: add ?4 additive_identity =>= ?4 [4] by right_additive_identity ?4
% 3.67/1.30 Id : 5, {_}: multiply ?8 additive_identity =>= additive_identity [8] by right_multiplicative_zero ?8
% 3.67/1.30 Id : 45, {_}: multiply ?85 (add ?86 ?87) =>= add (multiply ?85 ?86) (multiply ?85 ?87) [87, 86, 85] by distribute1 ?85 ?86 ?87
% 3.67/1.30 Id : 4, {_}: multiply additive_identity ?6 =>= additive_identity [6] by left_multiplicative_zero ?6
% 3.67/1.30 Id : 6, {_}: add (additive_inverse ?10) ?10 =>= additive_identity [10] by left_additive_inverse ?10
% 3.67/1.31 Id : 66, {_}: multiply (add ?116 ?117) ?118 =>= add (multiply ?116 ?118) (multiply ?117 ?118) [118, 117, 116] by distribute2 ?116 ?117 ?118
% 3.67/1.31 Id : 11, {_}: add ?24 ?25 =?= add ?25 ?24 [25, 24] by commutativity_for_addition ?24 ?25
% 3.67/1.31 Id : 8, {_}: additive_inverse (additive_inverse ?14) =>= ?14 [14] by additive_inverse_additive_inverse ?14
% 3.67/1.31 Id : 2, {_}: add additive_identity ?2 =>= ?2 [2] by left_additive_identity ?2
% 3.67/1.31 Id : 7, {_}: add ?12 (additive_inverse ?12) =>= additive_identity [12] by right_additive_inverse ?12
% 3.67/1.31 Id : 134, {_}: add ?217 (add ?218 ?219) =<= add (add ?217 ?218) ?219 [219, 218, 217] by associativity_for_addition ?217 ?218 ?219
% 3.67/1.31 Id : 137, {_}: add ?227 (add (additive_inverse ?227) ?228) =>= add additive_identity ?228 [228, 227] by Super 134 with 7 at 1,3
% 3.67/1.31 Id : 417, {_}: add ?506 (add (additive_inverse ?506) ?507) =>= ?507 [507, 506] by Demod 137 with 2 at 3
% 3.67/1.31 Id : 449, {_}: add (additive_inverse ?553) (add ?553 ?554) =>= ?554 [554, 553] by Super 417 with 8 at 1,2,2
% 3.67/1.31 Id : 999, {_}: add (additive_inverse ?1152) (add ?1153 ?1152) =>= ?1153 [1153, 1152] by Super 449 with 11 at 2,2
% 3.67/1.31 Id : 418, {_}: add (additive_inverse ?509) (add ?509 ?510) =>= ?510 [510, 509] by Super 417 with 8 at 1,2,2
% 3.67/1.31 Id : 1005, {_}: add (additive_inverse (add ?1167 ?1168)) ?1168 =>= additive_inverse ?1167 [1168, 1167] by Super 999 with 418 at 2,2
% 3.67/1.31 Id : 1035, {_}: add ?1168 (additive_inverse (add ?1167 ?1168)) =>= additive_inverse ?1167 [1167, 1168] by Demod 1005 with 11 at 2
% 3.67/1.31 Id : 69, {_}: multiply additive_identity ?126 =<= add (multiply (additive_inverse ?127) ?126) (multiply ?127 ?126) [127, 126] by Super 66 with 6 at 1,2
% 3.67/1.31 Id : 85, {_}: additive_identity =<= add (multiply (additive_inverse ?127) ?126) (multiply ?127 ?126) [126, 127] by Demod 69 with 4 at 2
% 3.67/1.31 Id : 1335, {_}: additive_identity =<= add (multiply ?127 ?126) (multiply (additive_inverse ?127) ?126) [126, 127] by Demod 85 with 11 at 3
% 3.67/1.31 Id : 1336, {_}: add (multiply (additive_inverse ?1538) ?1539) (additive_inverse additive_identity) =>= additive_inverse (multiply ?1538 ?1539) [1539, 1538] by Super 1035 with 1335 at 1,2,2
% 3.67/1.31 Id : 1371, {_}: add (additive_inverse additive_identity) (multiply (additive_inverse ?1538) ?1539) =>= additive_inverse (multiply ?1538 ?1539) [1539, 1538] by Demod 1336 with 11 at 2
% 3.67/1.31 Id : 157, {_}: add ?227 (add (additive_inverse ?227) ?228) =>= ?228 [228, 227] by Demod 137 with 2 at 3
% 3.67/1.31 Id : 453, {_}: add (additive_inverse ?562) (add ?563 ?562) =>= ?563 [563, 562] by Super 449 with 11 at 2,2
% 3.67/1.31 Id : 1007, {_}: add (additive_inverse (add ?1173 ?1174)) ?1173 =>= additive_inverse ?1174 [1174, 1173] by Super 999 with 453 at 2,2
% 3.67/1.31 Id : 1037, {_}: add ?1173 (additive_inverse (add ?1173 ?1174)) =>= additive_inverse ?1174 [1174, 1173] by Demod 1007 with 11 at 2
% 3.67/1.31 Id : 1113, {_}: add ?1298 (additive_inverse ?1299) =<= additive_inverse (add (additive_inverse ?1298) ?1299) [1299, 1298] by Super 157 with 1037 at 2,2
% 3.67/1.31 Id : 1184, {_}: additive_inverse (add ?1407 (additive_inverse ?1408)) =<= add (additive_inverse ?1407) ?1408 [1408, 1407] by Super 8 with 1113 at 1,2
% 3.67/1.31 Id : 1372, {_}: additive_inverse (add additive_identity (additive_inverse (multiply (additive_inverse ?1538) ?1539))) =>= additive_inverse (multiply ?1538 ?1539) [1539, 1538] by Demod 1371 with 1184 at 2
% 3.67/1.31 Id : 1373, {_}: additive_inverse (additive_inverse (multiply (additive_inverse ?1538) ?1539)) =>= additive_inverse (multiply ?1538 ?1539) [1539, 1538] by Demod 1372 with 2 at 1,2
% 3.67/1.31 Id : 1374, {_}: multiply (additive_inverse ?1538) ?1539 =>= additive_inverse (multiply ?1538 ?1539) [1539, 1538] by Demod 1373 with 8 at 2
% 3.67/1.31 Id : 48, {_}: multiply ?95 additive_identity =<= add (multiply ?95 (additive_inverse ?96)) (multiply ?95 ?96) [96, 95] by Super 45 with 6 at 2,2
% 3.67/1.31 Id : 59, {_}: additive_identity =<= add (multiply ?95 (additive_inverse ?96)) (multiply ?95 ?96) [96, 95] by Demod 48 with 5 at 2
% 3.67/1.31 Id : 348, {_}: additive_identity =<= add (multiply ?95 ?96) (multiply ?95 (additive_inverse ?96)) [96, 95] by Demod 59 with 11 at 3
% 3.67/1.31 Id : 459, {_}: add (additive_inverse (multiply ?581 ?582)) additive_identity =<= multiply ?581 (additive_inverse ?582) [582, 581] by Super 449 with 348 at 2,2
% 3.67/1.31 Id : 476, {_}: additive_inverse (multiply ?581 ?582) =<= multiply ?581 (additive_inverse ?582) [582, 581] by Demod 459 with 3 at 2
% 3.67/1.31 Id : 1532, {_}: multiply a b === multiply a b [] by Demod 1531 with 8 at 2
% 3.67/1.31 Id : 1531, {_}: additive_inverse (additive_inverse (multiply a b)) =>= multiply a b [] by Demod 1530 with 476 at 1,2
% 3.67/1.31 Id : 1530, {_}: additive_inverse (multiply a (additive_inverse b)) =>= multiply a b [] by Demod 1 with 1374 at 2
% 3.67/1.31 Id : 1, {_}: multiply (additive_inverse a) (additive_inverse b) =>= multiply a b [] by prove_equation
% 3.67/1.31 % SZS output end CNFRefutation for theBenchmark.p
% 3.67/1.31 29588: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.968727 using lpo
%------------------------------------------------------------------------------