TSTP Solution File: GRP698-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP698-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n013.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 10:31:38 EDT 2022
% Result : Unsatisfiable 15.84s 4.29s
% Output : CNFRefutation 15.93s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP698-1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 09:35:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 440: Facts:
% 0.13/0.34 440: Id : 2, {_}: mult ?2 (ld ?2 ?3) =>= ?3 [3, 2] by c01 ?2 ?3
% 0.13/0.34 440: Id : 3, {_}: ld ?5 (mult ?5 ?6) =>= ?6 [6, 5] by c02 ?5 ?6
% 0.13/0.34 440: Id : 4, {_}: mult (rd ?8 ?9) ?9 =>= ?8 [9, 8] by c03 ?8 ?9
% 0.13/0.34 440: Id : 5, {_}: rd (mult ?11 ?12) ?12 =>= ?11 [12, 11] by c04 ?11 ?12
% 0.13/0.34 440: Id : 6, {_}: mult ?14 unit =>= ?14 [14] by c05 ?14
% 0.13/0.34 440: Id : 7, {_}: mult unit ?16 =>= ?16 [16] by c06 ?16
% 0.13/0.34 440: Id : 8, {_}:
% 0.13/0.34 mult (mult (mult ?18 ?19) ?18) (mult ?18 ?20)
% 0.13/0.34 =?=
% 0.13/0.34 mult ?18 (mult (mult (mult ?19 ?18) ?18) ?20)
% 0.13/0.34 [20, 19, 18] by c07 ?18 ?19 ?20
% 0.13/0.34 440: Id : 9, {_}:
% 0.13/0.34 mult (mult ?22 ?23) (mult ?23 (mult ?24 ?23))
% 0.13/0.34 =?=
% 0.13/0.34 mult (mult ?22 (mult ?23 (mult ?23 ?24))) ?23
% 0.13/0.34 [24, 23, 22] by c08 ?22 ?23 ?24
% 0.13/0.34 440: Goal:
% 0.13/0.34 440: Id : 1, {_}:
% 0.13/0.34 mult a (mult b c) =<= mult (rd (mult a b) a) (mult a c)
% 0.13/0.34 [] by goals
% 15.84/4.29 Statistics :
% 15.84/4.29 Max weight : 40
% 15.84/4.29 Found proof, 3.946769s
% 15.84/4.29 % SZS status Unsatisfiable for theBenchmark.p
% 15.84/4.29 % SZS output start CNFRefutation for theBenchmark.p
% 15.84/4.29 Id : 7, {_}: mult unit ?16 =>= ?16 [16] by c06 ?16
% 15.84/4.29 Id : 4, {_}: mult (rd ?8 ?9) ?9 =>= ?8 [9, 8] by c03 ?8 ?9
% 15.84/4.29 Id : 2, {_}: mult ?2 (ld ?2 ?3) =>= ?3 [3, 2] by c01 ?2 ?3
% 15.84/4.29 Id : 3, {_}: ld ?5 (mult ?5 ?6) =>= ?6 [6, 5] by c02 ?5 ?6
% 15.84/4.29 Id : 6, {_}: mult ?14 unit =>= ?14 [14] by c05 ?14
% 15.84/4.29 Id : 5, {_}: rd (mult ?11 ?12) ?12 =>= ?11 [12, 11] by c04 ?11 ?12
% 15.84/4.29 Id : 8, {_}: mult (mult (mult ?18 ?19) ?18) (mult ?18 ?20) =?= mult ?18 (mult (mult (mult ?19 ?18) ?18) ?20) [20, 19, 18] by c07 ?18 ?19 ?20
% 15.84/4.29 Id : 214, {_}: ld ?456 (mult (mult (mult ?456 ?457) ?456) (mult ?456 ?458)) =>= mult (mult (mult ?457 ?456) ?456) ?458 [458, 457, 456] by Super 3 with 8 at 2,2
% 15.84/4.29 Id : 223, {_}: ld ?494 (mult (mult ?495 ?494) (mult ?494 ?496)) =<= mult (mult (mult (ld ?494 ?495) ?494) ?494) ?496 [496, 495, 494] by Super 214 with 2 at 1,1,2,2
% 15.84/4.29 Id : 390, {_}: ld ?789 (mult (mult ?790 ?789) (mult ?789 unit)) =>= mult (mult (ld ?789 ?790) ?789) ?789 [790, 789] by Super 6 with 223 at 2
% 15.84/4.29 Id : 430, {_}: ld ?789 (mult (mult ?790 ?789) ?789) =<= mult (mult (ld ?789 ?790) ?789) ?789 [790, 789] by Demod 390 with 6 at 2,2,2
% 15.84/4.29 Id : 676, {_}: rd (ld ?1179 (mult (mult ?1180 ?1179) ?1179)) ?1179 =>= mult (ld ?1179 ?1180) ?1179 [1180, 1179] by Super 5 with 430 at 1,2
% 15.84/4.29 Id : 678, {_}: rd (ld ?1185 (mult ?1186 ?1185)) ?1185 =<= mult (ld ?1185 (rd ?1186 ?1185)) ?1185 [1186, 1185] by Super 676 with 4 at 1,2,1,2
% 15.84/4.29 Id : 1027, {_}: mult (mult (mult ?1469 (ld ?1469 (rd ?1470 ?1469))) ?1469) (mult ?1469 ?1471) =?= mult ?1469 (mult (mult (rd (ld ?1469 (mult ?1470 ?1469)) ?1469) ?1469) ?1471) [1471, 1470, 1469] by Super 8 with 678 at 1,1,2,3
% 15.84/4.29 Id : 1054, {_}: mult (mult (rd ?1470 ?1469) ?1469) (mult ?1469 ?1471) =<= mult ?1469 (mult (mult (rd (ld ?1469 (mult ?1470 ?1469)) ?1469) ?1469) ?1471) [1471, 1469, 1470] by Demod 1027 with 2 at 1,1,2
% 15.84/4.29 Id : 1055, {_}: mult (mult (rd ?1470 ?1469) ?1469) (mult ?1469 ?1471) =?= mult ?1469 (mult (ld ?1469 (mult ?1470 ?1469)) ?1471) [1471, 1469, 1470] by Demod 1054 with 4 at 1,2,3
% 15.84/4.29 Id : 1056, {_}: mult ?1470 (mult ?1469 ?1471) =<= mult ?1469 (mult (ld ?1469 (mult ?1470 ?1469)) ?1471) [1471, 1469, 1470] by Demod 1055 with 4 at 1,2
% 15.84/4.29 Id : 3920, {_}: ld ?3081 (mult ?3082 (mult ?3081 ?3083)) =<= mult (ld ?3081 (mult ?3082 ?3081)) ?3083 [3083, 3082, 3081] by Super 3 with 1056 at 2,2
% 15.93/4.29 Id : 8964, {_}: rd (ld ?5185 (mult ?5186 (mult ?5185 ?5187))) ?5187 =>= ld ?5185 (mult ?5186 ?5185) [5187, 5186, 5185] by Super 5 with 3920 at 1,2
% 15.93/4.29 Id : 680, {_}: rd (ld ?1190 (mult ?1190 ?1190)) ?1190 =>= mult (ld ?1190 unit) ?1190 [1190] by Super 676 with 7 at 1,2,1,2
% 15.93/4.29 Id : 707, {_}: rd ?1190 ?1190 =<= mult (ld ?1190 unit) ?1190 [1190] by Demod 680 with 3 at 1,2
% 15.93/4.29 Id : 30, {_}: rd ?76 ?76 =>= unit [76] by Super 5 with 7 at 1,2
% 15.93/4.29 Id : 708, {_}: unit =<= mult (ld ?1190 unit) ?1190 [1190] by Demod 707 with 30 at 2
% 15.93/4.29 Id : 8982, {_}: rd (ld (ld ?5256 unit) (mult ?5257 unit)) ?5256 =>= ld (ld ?5256 unit) (mult ?5257 (ld ?5256 unit)) [5257, 5256] by Super 8964 with 708 at 2,2,1,2
% 15.93/4.29 Id : 9086, {_}: rd (ld (ld ?5437 unit) ?5438) ?5437 =<= ld (ld ?5437 unit) (mult ?5438 (ld ?5437 unit)) [5438, 5437] by Demod 8982 with 6 at 2,1,2
% 15.93/4.29 Id : 16, {_}: ld (rd ?42 ?43) ?42 =>= ?43 [43, 42] by Super 3 with 4 at 2,2
% 15.93/4.29 Id : 9087, {_}: rd (ld (ld (rd unit ?5440) unit) ?5441) (rd unit ?5440) =>= ld (ld (rd unit ?5440) unit) (mult ?5441 ?5440) [5441, 5440] by Super 9086 with 16 at 2,2,3
% 15.93/4.29 Id : 9158, {_}: rd (ld ?5440 ?5441) (rd unit ?5440) =<= ld (ld (rd unit ?5440) unit) (mult ?5441 ?5440) [5441, 5440] by Demod 9087 with 16 at 1,1,2
% 15.93/4.29 Id : 734, {_}: rd unit ?1253 =>= ld ?1253 unit [1253] by Super 5 with 708 at 1,2
% 15.93/4.29 Id : 9159, {_}: rd (ld ?5440 ?5441) (ld ?5440 unit) =<= ld (ld (rd unit ?5440) unit) (mult ?5441 ?5440) [5441, 5440] by Demod 9158 with 734 at 2,2
% 15.93/4.29 Id : 9393, {_}: rd (ld ?5575 ?5576) (ld ?5575 unit) =>= ld ?5575 (mult ?5576 ?5575) [5576, 5575] by Demod 9159 with 16 at 1,3
% 15.93/4.29 Id : 9405, {_}: rd ?5604 (ld ?5605 unit) =<= ld ?5605 (mult (mult ?5605 ?5604) ?5605) [5605, 5604] by Super 9393 with 3 at 1,2
% 15.93/4.29 Id : 9811, {_}: mult ?5930 (rd ?5931 (ld ?5930 unit)) =>= mult (mult ?5930 ?5931) ?5930 [5931, 5930] by Super 2 with 9405 at 2,2
% 15.93/4.29 Id : 735, {_}: ld (ld ?1255 unit) unit =>= ?1255 [1255] by Super 3 with 708 at 2,2
% 15.93/4.29 Id : 10688, {_}: mult (ld ?6457 unit) (rd ?6458 ?6457) =<= mult (mult (ld ?6457 unit) ?6458) (ld ?6457 unit) [6458, 6457] by Super 9811 with 735 at 2,2,2
% 15.93/4.29 Id : 3328, {_}: rd (rd (ld ?2708 (mult ?2709 ?2708)) ?2708) ?2708 =>= ld ?2708 (rd ?2709 ?2708) [2709, 2708] by Super 5 with 678 at 1,2
% 15.93/4.29 Id : 3416, {_}: rd (rd (ld ?2802 ?2803) ?2802) ?2802 =>= ld ?2802 (rd (rd ?2803 ?2802) ?2802) [2803, 2802] by Super 3328 with 4 at 2,1,1,2
% 15.93/4.29 Id : 3417, {_}: rd (rd ?2805 ?2806) ?2806 =<= ld ?2806 (rd (rd (mult ?2806 ?2805) ?2806) ?2806) [2806, 2805] by Super 3416 with 3 at 1,1,2
% 15.93/4.29 Id : 7616, {_}: mult ?4737 (rd (rd ?4738 ?4737) ?4737) =>= rd (rd (mult ?4737 ?4738) ?4737) ?4737 [4738, 4737] by Super 2 with 3417 at 2,2
% 15.93/4.29 Id : 10717, {_}: mult (ld ?6525 unit) (rd (rd (rd ?6526 (ld ?6525 unit)) (ld ?6525 unit)) ?6525) =<= mult (rd (rd (mult (ld ?6525 unit) ?6526) (ld ?6525 unit)) (ld ?6525 unit)) (ld ?6525 unit) [6526, 6525] by Super 10688 with 7616 at 1,3
% 15.93/4.29 Id : 9160, {_}: rd (ld ?5440 ?5441) (ld ?5440 unit) =>= ld ?5440 (mult ?5441 ?5440) [5441, 5440] by Demod 9159 with 16 at 1,3
% 15.93/4.29 Id : 9658, {_}: rd (rd ?5707 (ld ?5708 unit)) (ld ?5708 unit) =?= ld ?5708 (mult (mult (mult ?5708 ?5707) ?5708) ?5708) [5708, 5707] by Super 9160 with 9405 at 1,2
% 15.93/4.29 Id : 217, {_}: ld ?468 (mult (mult (mult ?468 ?469) ?468) ?468) =>= mult (mult (mult ?469 ?468) ?468) unit [469, 468] by Super 214 with 6 at 2,2,2
% 15.93/4.29 Id : 245, {_}: ld ?468 (mult (mult (mult ?468 ?469) ?468) ?468) =>= mult (mult ?469 ?468) ?468 [469, 468] by Demod 217 with 6 at 3
% 15.93/4.29 Id : 9723, {_}: rd (rd ?5707 (ld ?5708 unit)) (ld ?5708 unit) =>= mult (mult ?5707 ?5708) ?5708 [5708, 5707] by Demod 9658 with 245 at 3
% 15.93/4.29 Id : 10983, {_}: mult (ld ?6525 unit) (rd (mult (mult ?6526 ?6525) ?6525) ?6525) =<= mult (rd (rd (mult (ld ?6525 unit) ?6526) (ld ?6525 unit)) (ld ?6525 unit)) (ld ?6525 unit) [6526, 6525] by Demod 10717 with 9723 at 1,2,2
% 15.93/4.29 Id : 10984, {_}: mult (ld ?6525 unit) (rd (mult (mult ?6526 ?6525) ?6525) ?6525) =>= rd (mult (ld ?6525 unit) ?6526) (ld ?6525 unit) [6526, 6525] by Demod 10983 with 4 at 3
% 15.93/4.29 Id : 10985, {_}: mult (ld ?6525 unit) (mult ?6526 ?6525) =<= rd (mult (ld ?6525 unit) ?6526) (ld ?6525 unit) [6526, 6525] by Demod 10984 with 5 at 2,2
% 15.93/4.29 Id : 11025, {_}: rd (ld (ld ?6569 unit) (mult (mult (ld ?6569 unit) ?6570) (ld ?6569 unit))) (ld ?6569 unit) =>= mult (ld (ld ?6569 unit) (mult (ld ?6569 unit) (mult ?6570 ?6569))) (ld ?6569 unit) [6570, 6569] by Super 678 with 10985 at 2,1,3
% 15.93/4.29 Id : 9031, {_}: rd (ld (ld ?5256 unit) ?5257) ?5256 =<= ld (ld ?5256 unit) (mult ?5257 (ld ?5256 unit)) [5257, 5256] by Demod 8982 with 6 at 2,1,2
% 15.93/4.29 Id : 11077, {_}: rd (rd (ld (ld ?6569 unit) (mult (ld ?6569 unit) ?6570)) ?6569) (ld ?6569 unit) =<= mult (ld (ld ?6569 unit) (mult (ld ?6569 unit) (mult ?6570 ?6569))) (ld ?6569 unit) [6570, 6569] by Demod 11025 with 9031 at 1,2
% 15.93/4.29 Id : 11078, {_}: rd (rd (ld (ld ?6569 unit) (mult (ld ?6569 unit) ?6570)) ?6569) (ld ?6569 unit) =>= mult (mult ?6570 ?6569) (ld ?6569 unit) [6570, 6569] by Demod 11077 with 3 at 1,3
% 15.93/4.29 Id : 11315, {_}: rd (rd ?6761 ?6762) (ld ?6762 unit) =<= mult (mult ?6761 ?6762) (ld ?6762 unit) [6762, 6761] by Demod 11078 with 3 at 1,1,2
% 15.93/4.29 Id : 11316, {_}: rd (rd ?6764 (rd unit ?6765)) (ld (rd unit ?6765) unit) =>= mult (mult ?6764 (rd unit ?6765)) ?6765 [6765, 6764] by Super 11315 with 16 at 2,3
% 15.93/4.29 Id : 11422, {_}: rd (rd ?6764 (ld ?6765 unit)) (ld (rd unit ?6765) unit) =>= mult (mult ?6764 (rd unit ?6765)) ?6765 [6765, 6764] by Demod 11316 with 734 at 2,1,2
% 15.93/4.29 Id : 11423, {_}: rd (rd ?6764 (ld ?6765 unit)) ?6765 =<= mult (mult ?6764 (rd unit ?6765)) ?6765 [6765, 6764] by Demod 11422 with 16 at 2,2
% 15.93/4.29 Id : 11424, {_}: rd (rd ?6764 (ld ?6765 unit)) ?6765 =<= mult (mult ?6764 (ld ?6765 unit)) ?6765 [6765, 6764] by Demod 11423 with 734 at 2,1,3
% 15.93/4.29 Id : 11906, {_}: mult (mult (mult ?7183 (mult ?7184 (ld ?7183 unit))) ?7183) (mult ?7183 ?7185) =?= mult ?7183 (mult (mult (rd (rd ?7184 (ld ?7183 unit)) ?7183) ?7183) ?7185) [7185, 7184, 7183] by Super 8 with 11424 at 1,1,2,3
% 15.93/4.29 Id : 11029, {_}: mult (ld ?6581 unit) (mult ?6582 ?6581) =<= rd (mult (ld ?6581 unit) ?6582) (ld ?6581 unit) [6582, 6581] by Demod 10984 with 5 at 2,2
% 15.93/4.29 Id : 11030, {_}: mult (ld (rd unit ?6584) unit) (mult ?6585 (rd unit ?6584)) =>= rd (mult (ld (rd unit ?6584) unit) ?6585) ?6584 [6585, 6584] by Super 11029 with 16 at 2,3
% 15.93/4.29 Id : 11092, {_}: mult ?6584 (mult ?6585 (rd unit ?6584)) =<= rd (mult (ld (rd unit ?6584) unit) ?6585) ?6584 [6585, 6584] by Demod 11030 with 16 at 1,2
% 15.93/4.29 Id : 11093, {_}: mult ?6584 (mult ?6585 (ld ?6584 unit)) =<= rd (mult (ld (rd unit ?6584) unit) ?6585) ?6584 [6585, 6584] by Demod 11092 with 734 at 2,2,2
% 15.93/4.29 Id : 11094, {_}: mult ?6584 (mult ?6585 (ld ?6584 unit)) =>= rd (mult ?6584 ?6585) ?6584 [6585, 6584] by Demod 11093 with 16 at 1,1,3
% 15.93/4.29 Id : 11972, {_}: mult (mult (rd (mult ?7183 ?7184) ?7183) ?7183) (mult ?7183 ?7185) =<= mult ?7183 (mult (mult (rd (rd ?7184 (ld ?7183 unit)) ?7183) ?7183) ?7185) [7185, 7184, 7183] by Demod 11906 with 11094 at 1,1,2
% 15.93/4.29 Id : 11973, {_}: mult (mult (rd (mult ?7183 ?7184) ?7183) ?7183) (mult ?7183 ?7185) =>= mult ?7183 (mult (rd ?7184 (ld ?7183 unit)) ?7185) [7185, 7184, 7183] by Demod 11972 with 4 at 1,2,3
% 15.93/4.29 Id : 20148, {_}: mult (mult ?12021 ?12022) (mult ?12021 ?12023) =<= mult ?12021 (mult (rd ?12022 (ld ?12021 unit)) ?12023) [12023, 12022, 12021] by Demod 11973 with 4 at 1,2
% 15.93/4.29 Id : 20160, {_}: mult (mult ?12062 (mult ?12063 (ld ?12062 unit))) (mult ?12062 ?12064) =>= mult ?12062 (mult ?12063 ?12064) [12064, 12063, 12062] by Super 20148 with 5 at 1,2,3
% 15.93/4.29 Id : 20287, {_}: mult (rd (mult ?12062 ?12063) ?12062) (mult ?12062 ?12064) =>= mult ?12062 (mult ?12063 ?12064) [12064, 12063, 12062] by Demod 20160 with 11094 at 1,2
% 15.93/4.29 Id : 90582, {_}: mult a (mult b c) === mult a (mult b c) [] by Demod 1 with 20287 at 3
% 15.93/4.29 Id : 1, {_}: mult a (mult b c) =<= mult (rd (mult a b) a) (mult a c) [] by goals
% 15.93/4.29 % SZS output end CNFRefutation for theBenchmark.p
% 15.93/4.29 443: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 3.951517 using nrkbo
%------------------------------------------------------------------------------