TSTP Solution File: GRP709-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP709-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n007.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 : Sat Jul 16 10:31:44 EDT 2022
% Result : Unsatisfiable 0.19s 0.37s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP709-1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.34 % Computer : n007.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 : Mon Jun 13 22:57:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 3018: Facts:
% 0.12/0.34 3018: Id : 2, {_}: mult ?2 (ld ?2 ?3) =>= ?3 [3, 2] by c01 ?2 ?3
% 0.12/0.34 3018: Id : 3, {_}: ld ?5 (mult ?5 ?6) =>= ?6 [6, 5] by c02 ?5 ?6
% 0.12/0.34 3018: Id : 4, {_}: mult (rd ?8 ?9) ?9 =>= ?8 [9, 8] by c03 ?8 ?9
% 0.12/0.34 3018: Id : 5, {_}: rd (mult ?11 ?12) ?12 =>= ?11 [12, 11] by c04 ?11 ?12
% 0.12/0.34 3018: Id : 6, {_}: mult ?14 unit =>= ?14 [14] by c05 ?14
% 0.12/0.34 3018: Id : 7, {_}: mult unit ?16 =>= ?16 [16] by c06 ?16
% 0.12/0.34 3018: Id : 8, {_}:
% 0.12/0.34 mult ?18 (mult ?19 (mult ?18 ?20))
% 0.12/0.34 =?=
% 0.12/0.34 mult (mult ?18 (mult ?19 ?18)) ?20
% 0.12/0.34 [20, 19, 18] by c07 ?18 ?19 ?20
% 0.12/0.34 3018: Id : 9, {_}: mult op_c ?22 =?= mult ?22 op_c [22] by c08 ?22
% 0.12/0.34 3018: Id : 10, {_}:
% 0.12/0.34 mult ?24 (mult ?25 op_c) =?= mult (mult ?24 ?25) op_c
% 0.12/0.34 [25, 24] by c09 ?24 ?25
% 0.12/0.34 3018: Goal:
% 0.12/0.34 3018: Id : 1, {_}:
% 0.12/0.34 mult (mult op_c op_c) (mult a b) =<= mult (mult (mult op_c op_c) a) b
% 0.12/0.34 [] by goals
% 0.19/0.37 Statistics :
% 0.19/0.37 Max weight : 22
% 0.19/0.37 Found proof, 0.028035s
% 0.19/0.37 % SZS status Unsatisfiable for theBenchmark.p
% 0.19/0.37 % SZS output start CNFRefutation for theBenchmark.p
% 0.19/0.37 Id : 7, {_}: mult unit ?16 =>= ?16 [16] by c06 ?16
% 0.19/0.37 Id : 10, {_}: mult ?24 (mult ?25 op_c) =?= mult (mult ?24 ?25) op_c [25, 24] by c09 ?24 ?25
% 0.19/0.37 Id : 6, {_}: mult ?14 unit =>= ?14 [14] by c05 ?14
% 0.19/0.37 Id : 9, {_}: mult op_c ?22 =?= mult ?22 op_c [22] by c08 ?22
% 0.19/0.37 Statistics :
% 0.19/0.37 Id : 8, {_}: mult ?18 (mult ?19 (mult ?18 ?20)) =?= mult (mult ?18 (mult ?19 ?18)) ?20 [20, 19, 18] by c07 ?18 ?19 ?20
% 0.19/0.37 Max weight : 22
% 0.19/0.37 Found proof, 0.027558s
% 0.19/0.37 % SZS status Unsatisfiable for theBenchmark.p
% 0.19/0.37 % SZS output start CNFRefutation for theBenchmark.p
% 0.19/0.37 Id : 330, {_}: mult op_c (mult ?571 (mult op_c ?572)) =<= mult (mult op_c (mult op_c ?571)) ?572 [572, 571] by Super 8 with 9 at 2,1,3
% 0.19/0.37 Id : 7, {_}: mult unit ?16 =>= ?16 [16] by c06 ?16
% 0.19/0.37 Id : 332, {_}: mult op_c (mult unit (mult op_c ?577)) =>= mult (mult op_c op_c) ?577 [577] by Super 330 with 6 at 2,1,3
% 0.19/0.37 Id : 97, {_}: mult ?24 (mult ?25 op_c) =?= mult op_c (mult ?24 ?25) [25, 24] by Demod 10 with 9 at 3
% 0.19/0.37 Id : 10, {_}: mult ?24 (mult ?25 op_c) =?= mult (mult ?24 ?25) op_c [25, 24] by c09 ?24 ?25
% 0.19/0.37 Id : 352, {_}: mult unit (mult (mult op_c ?577) op_c) =>= mult (mult op_c op_c) ?577 [577] by Demod 332 with 97 at 2
% 0.19/0.37 Id : 6, {_}: mult ?14 unit =>= ?14 [14] by c05 ?14
% 0.19/0.37 Id : 9, {_}: mult op_c ?22 =?= mult ?22 op_c [22] by c08 ?22
% 0.19/0.37 Id : 353, {_}: mult (mult op_c ?577) op_c =?= mult (mult op_c op_c) ?577 [577] by Demod 352 with 7 at 2
% 0.19/0.37 Id : 8, {_}: mult ?18 (mult ?19 (mult ?18 ?20)) =?= mult (mult ?18 (mult ?19 ?18)) ?20 [20, 19, 18] by c07 ?18 ?19 ?20
% 0.19/0.37 Id : 354, {_}: mult op_c (mult op_c ?577) =<= mult (mult op_c op_c) ?577 [577] by Demod 353 with 9 at 2
% 0.19/0.37 Id : 85, {_}: mult op_c (mult ?218 (mult op_c ?219)) =<= mult (mult op_c (mult op_c ?218)) ?219 [219, 218] by Super 8 with 9 at 2,1,3
% 0.19/0.37 Id : 401, {_}: mult a (mult b (mult op_c op_c)) === mult a (mult b (mult op_c op_c)) [] by Demod 400 with 97 at 2,3
% 0.19/0.37 Id : 318, {_}: mult op_c (mult ?560 (mult op_c ?561)) =<= mult (mult op_c (mult op_c ?560)) ?561 [561, 560] by Super 8 with 9 at 2,1,3
% 0.19/0.37 Id : 400, {_}: mult a (mult b (mult op_c op_c)) =<= mult a (mult op_c (mult b op_c)) [] by Demod 399 with 97 at 2,3
% 0.19/0.37 Id : 320, {_}: mult op_c (mult unit (mult op_c ?566)) =>= mult (mult op_c op_c) ?566 [566] by Super 318 with 6 at 2,1,3
% 0.19/0.37 Id : 97, {_}: mult ?24 (mult ?25 op_c) =?= mult op_c (mult ?24 ?25) [25, 24] by Demod 10 with 9 at 3
% 0.19/0.37 Id : 399, {_}: mult a (mult b (mult op_c op_c)) =<= mult a (mult op_c (mult op_c b)) [] by Demod 398 with 97 at 2,2
% 0.19/0.37 Id : 340, {_}: mult unit (mult (mult op_c ?566) op_c) =>= mult (mult op_c op_c) ?566 [566] by Demod 320 with 97 at 2
% 0.19/0.37 Id : 398, {_}: mult a (mult op_c (mult b op_c)) =<= mult a (mult op_c (mult op_c b)) [] by Demod 397 with 9 at 2,3
% 0.19/0.37 Id : 397, {_}: mult a (mult op_c (mult b op_c)) =<= mult a (mult (mult op_c b) op_c) [] by Demod 396 with 9 at 2,2
% 0.19/0.37 Id : 341, {_}: mult (mult op_c ?566) op_c =?= mult (mult op_c op_c) ?566 [566] by Demod 340 with 7 at 2
% 0.19/0.37 Id : 342, {_}: mult op_c (mult op_c ?566) =<= mult (mult op_c op_c) ?566 [566] by Demod 341 with 9 at 2
% 0.19/0.37 Id : 396, {_}: mult a (mult (mult b op_c) op_c) =<= mult a (mult (mult op_c b) op_c) [] by Demod 395 with 97 at 3
% 0.19/0.37 Id : 85, {_}: mult op_c (mult ?218 (mult op_c ?219)) =<= mult (mult op_c (mult op_c ?218)) ?219 [219, 218] by Super 8 with 9 at 2,1,3
% 0.19/0.37 Id : 395, {_}: mult a (mult (mult b op_c) op_c) =<= mult op_c (mult a (mult op_c b)) [] by Demod 394 with 97 at 2
% 0.19/0.37 Id : 394, {_}: mult op_c (mult a (mult b op_c)) =<= mult op_c (mult a (mult op_c b)) [] by Demod 393 with 85 at 3
% 0.19/0.37 Id : 389, {_}: mult a (mult b (mult op_c op_c)) === mult a (mult b (mult op_c op_c)) [] by Demod 388 with 97 at 2,3
% 0.19/0.37 Id : 388, {_}: mult a (mult b (mult op_c op_c)) =<= mult a (mult op_c (mult b op_c)) [] by Demod 387 with 97 at 2,3
% 0.19/0.37 Id : 393, {_}: mult op_c (mult a (mult b op_c)) =<= mult (mult op_c (mult op_c a)) b [] by Demod 392 with 97 at 2,2
% 0.19/0.37 Id : 387, {_}: mult a (mult b (mult op_c op_c)) =<= mult a (mult op_c (mult op_c b)) [] by Demod 386 with 97 at 2,2
% 0.19/0.37 Id : 392, {_}: mult op_c (mult op_c (mult a b)) =<= mult (mult op_c (mult op_c a)) b [] by Demod 391 with 354 at 1,3
% 0.19/0.37 Id : 386, {_}: mult a (mult op_c (mult b op_c)) =<= mult a (mult op_c (mult op_c b)) [] by Demod 385 with 9 at 2,3
% 0.19/0.37 Id : 391, {_}: mult op_c (mult op_c (mult a b)) =<= mult (mult (mult op_c op_c) a) b [] by Demod 1 with 354 at 2
% 0.19/0.37 Id : 385, {_}: mult a (mult op_c (mult b op_c)) =<= mult a (mult (mult op_c b) op_c) [] by Demod 384 with 9 at 2,2
% 0.19/0.37 Id : 384, {_}: mult a (mult (mult b op_c) op_c) =<= mult a (mult (mult op_c b) op_c) [] by Demod 383 with 97 at 3
% 0.19/0.37 Id : 383, {_}: mult a (mult (mult b op_c) op_c) =<= mult op_c (mult a (mult op_c b)) [] by Demod 382 with 97 at 2
% 0.19/0.37 Id : 1, {_}: mult (mult op_c op_c) (mult a b) =<= mult (mult (mult op_c op_c) a) b [] by goals
% 0.19/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.37 3021: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.031625 using nrkbo
% 0.19/0.37 Id : 382, {_}: mult op_c (mult a (mult b op_c)) =<= mult op_c (mult a (mult op_c b)) [] by Demod 381 with 85 at 3
% 0.19/0.37 Id : 381, {_}: mult op_c (mult a (mult b op_c)) =<= mult (mult op_c (mult op_c a)) b [] by Demod 380 with 97 at 2,2
% 0.19/0.37 Id : 380, {_}: mult op_c (mult op_c (mult a b)) =<= mult (mult op_c (mult op_c a)) b [] by Demod 379 with 342 at 1,3
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