TSTP Solution File: GRP665-12 by Matita---1.0

View Problem - Process Solution

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% File     : Matita---1.0
% Problem  : GRP665-12 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s

% Computer : n023.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 10:31:28 EDT 2022

% Result   : Unsatisfiable 0.18s 0.39s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GRP665-12 : TPTP v8.1.0. Released v8.1.0.
% 0.06/0.12  % Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.33  % Computer : n023.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 Jun 13 20:10:21 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  6991: Facts:
% 0.12/0.34  6991:  Id :   2, {_}: mult ?2 (ld ?2 ?3) =>= ?3 [3, 2] by f01 ?2 ?3
% 0.12/0.34  6991:  Id :   3, {_}: ld ?5 (mult ?5 ?6) =>= ?6 [6, 5] by f02 ?5 ?6
% 0.12/0.34  6991:  Id :   4, {_}: mult (rd ?8 ?9) ?9 =>= ?8 [9, 8] by f03 ?8 ?9
% 0.12/0.34  6991:  Id :   5, {_}: rd (mult ?11 ?12) ?12 =>= ?11 [12, 11] by f04 ?11 ?12
% 0.12/0.34  6991:  Id :   6, {_}: mult ?14 unit =>= ?14 [14] by f05 ?14
% 0.12/0.34  6991:  Id :   7, {_}: mult unit ?16 =>= ?16 [16] by f06 ?16
% 0.12/0.34  6991:  Id :   8, {_}:
% 0.12/0.34            mult ?18 (mult ?19 ?20)
% 0.12/0.34            =<=
% 0.12/0.34            mult (rd (mult ?18 ?19) ?18) (mult ?18 ?20)
% 0.12/0.34            [20, 19, 18] by f07 ?18 ?19 ?20
% 0.12/0.34  6991:  Id :   9, {_}:
% 0.12/0.34            mult (mult ?22 ?23) ?24
% 0.12/0.34            =<=
% 0.12/0.34            mult (mult ?22 ?24) (ld ?24 (mult ?23 ?24))
% 0.12/0.34            [24, 23, 22] by f08 ?22 ?23 ?24
% 0.12/0.34  6991:  Id :  10, {_}: mult op_c ?26 =?= mult ?26 op_c [26] by f09 ?26
% 0.12/0.34  6991: Goal:
% 0.12/0.34  6991:  Id :   1, {_}: mult (mult x0 x1) op_c =>= mult x0 (mult x1 op_c) [] by goal
% 0.18/0.39  Statistics :
% 0.18/0.39  Max weight : 22
% 0.18/0.39  Found proof, 0.051991s
% 0.18/0.39  % SZS status Unsatisfiable for theBenchmark.p
% 0.18/0.39  % SZS output start CNFRefutation for theBenchmark.p
% 0.18/0.39  Id :   5, {_}: rd (mult ?11 ?12) ?12 =>= ?11 [12, 11] by f04 ?11 ?12
% 0.18/0.39  Id :   8, {_}: mult ?18 (mult ?19 ?20) =<= mult (rd (mult ?18 ?19) ?18) (mult ?18 ?20) [20, 19, 18] by f07 ?18 ?19 ?20
% 0.18/0.39  Id :   4, {_}: mult (rd ?8 ?9) ?9 =>= ?8 [9, 8] by f03 ?8 ?9
% 0.18/0.39  Id :   3, {_}: ld ?5 (mult ?5 ?6) =>= ?6 [6, 5] by f02 ?5 ?6
% 0.18/0.39  Id :  10, {_}: mult op_c ?26 =?= mult ?26 op_c [26] by f09 ?26
% 0.18/0.39  Id :   9, {_}: mult (mult ?22 ?23) ?24 =?= mult (mult ?22 ?24) (ld ?24 (mult ?23 ?24)) [24, 23, 22] by f08 ?22 ?23 ?24
% 0.18/0.39  Id : 129, {_}: mult (mult ?334 op_c) ?335 =?= mult (mult ?334 ?335) (ld ?335 (mult ?335 op_c)) [335, 334] by Super 9 with 10 at 2,2,3
% 0.18/0.39  Id : 143, {_}: mult (mult ?334 op_c) ?335 =?= mult (mult ?334 ?335) op_c [335, 334] by Demod 129 with 3 at 2,3
% 0.18/0.39  Id : 144, {_}: mult (mult ?334 op_c) ?335 =>= mult op_c (mult ?334 ?335) [335, 334] by Demod 143 with 10 at 3
% 0.18/0.39  Id : 124, {_}: mult op_c (rd ?324 op_c) =>= ?324 [324] by Super 4 with 10 at 2
% 0.18/0.39  Id : 249, {_}: ld op_c ?434 =>= rd ?434 op_c [434] by Super 3 with 124 at 2,2
% 0.18/0.39  Id : 552, {_}: ld (rd (mult ?750 ?751) ?750) (mult ?750 (mult ?751 ?752)) =>= mult ?750 ?752 [752, 751, 750] by Super 3 with 8 at 2,2
% 0.18/0.39  Id : 559, {_}: ld (rd (mult ?776 op_c) ?776) (mult ?776 ?777) =<= mult ?776 (rd ?777 op_c) [777, 776] by Super 552 with 124 at 2,2,2
% 0.18/0.39  Id : 127, {_}: rd (mult ?330 op_c) ?330 =>= op_c [330] by Super 5 with 10 at 1,2
% 0.18/0.39  Id : 596, {_}: ld op_c (mult ?776 ?777) =<= mult ?776 (rd ?777 op_c) [777, 776] by Demod 559 with 127 at 1,2
% 0.18/0.39  Id : 597, {_}: rd (mult ?776 ?777) op_c =<= mult ?776 (rd ?777 op_c) [777, 776] by Demod 596 with 249 at 2
% 0.18/0.39  Id : 128, {_}: rd (mult op_c ?332) op_c =>= ?332 [332] by Super 5 with 10 at 1,2
% 0.18/0.39  Id : 713, {_}: mult x0 (mult op_c x1) === mult x0 (mult op_c x1) [] by Demod 712 with 10 at 2,2
% 0.18/0.39  Id : 712, {_}: mult x0 (mult x1 op_c) =>= mult x0 (mult op_c x1) [] by Demod 711 with 128 at 2
% 0.18/0.39  Id : 711, {_}: rd (mult op_c (mult x0 (mult x1 op_c))) op_c =>= mult x0 (mult op_c x1) [] by Demod 710 with 597 at 2
% 0.18/0.39  Id : 710, {_}: mult op_c (rd (mult x0 (mult x1 op_c)) op_c) =>= mult x0 (mult op_c x1) [] by Demod 709 with 597 at 2,2
% 0.18/0.39  Id : 709, {_}: mult op_c (mult x0 (rd (mult x1 op_c) op_c)) =>= mult x0 (mult op_c x1) [] by Demod 708 with 249 at 2,2,2
% 0.18/0.39  Id : 708, {_}: mult op_c (mult x0 (ld op_c (mult x1 op_c))) =>= mult x0 (mult op_c x1) [] by Demod 707 with 144 at 2
% 0.18/0.39  Id : 707, {_}: mult (mult x0 op_c) (ld op_c (mult x1 op_c)) =>= mult x0 (mult op_c x1) [] by Demod 706 with 10 at 2,3
% 0.18/0.39  Id : 706, {_}: mult (mult x0 op_c) (ld op_c (mult x1 op_c)) =>= mult x0 (mult x1 op_c) [] by Demod 1 with 9 at 2
% 0.18/0.39  Id :   1, {_}: mult (mult x0 x1) op_c =>= mult x0 (mult x1 op_c) [] by goal
% 0.18/0.39  % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.39  6993: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.054502 using lpo
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