TSTP Solution File: GRP715-11 by Matita---1.0

View Problem - Process Solution

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% File     : Matita---1.0
% Problem  : GRP715-11 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s

% Computer : n012.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 10:31:45 EDT 2022

% Result   : Unsatisfiable 4.10s 1.33s
% Output   : CNFRefutation 4.10s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GRP715-11 : TPTP v8.1.0. Released v8.1.0.
% 0.11/0.12  % Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.13/0.33  % Computer : n012.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Tue Jun 14 13:45:55 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.13/0.34  14055: Facts:
% 0.13/0.34  14055:  Id :   2, {_}:
% 0.13/0.34            plus (plus ?2 ?3) ?4 =?= plus ?2 (plus ?3 ?4)
% 0.13/0.34            [4, 3, 2] by f01 ?2 ?3 ?4
% 0.13/0.34  14055:  Id :   3, {_}: plus ?6 ?7 =?= plus ?7 ?6 [7, 6] by f02 ?6 ?7
% 0.13/0.34  14055:  Id :   4, {_}: plus ?9 op_0 =>= ?9 [9] by f03 ?9
% 0.13/0.34  14055:  Id :   5, {_}: plus ?11 (minus ?11) =>= op_0 [11] by f04 ?11
% 0.13/0.34  14055:  Id :   6, {_}:
% 0.13/0.34            mult ?13 (plus ?14 ?15) =<= plus (mult ?13 ?14) (mult ?13 ?15)
% 0.13/0.34            [15, 14, 13] by f05 ?13 ?14 ?15
% 0.13/0.34  14055:  Id :   7, {_}:
% 0.13/0.34            mult (mult (mult ?17 ?18) ?19) ?18
% 0.13/0.34            =?=
% 0.13/0.34            mult ?17 (mult (mult ?18 ?19) ?18)
% 0.13/0.34            [19, 18, 17] by f06 ?17 ?18 ?19
% 0.13/0.34  14055:  Id :   8, {_}:
% 0.13/0.34            mult ?21 (mult ?22 ?22) =?= mult (mult ?21 ?22) ?22
% 0.13/0.34            [22, 21] by f07 ?21 ?22
% 0.13/0.34  14055:  Id :   9, {_}: mult ?24 unit =>= ?24 [24] by f08 ?24
% 0.13/0.34  14055:  Id :  10, {_}: mult unit ?26 =>= ?26 [26] by f09 ?26
% 0.13/0.34  14055:  Id :  11, {_}: mult op_a op_b =>= unit [] by f10
% 0.13/0.34  14055:  Id :  12, {_}: mult op_b op_a =>= unit [] by f11
% 0.13/0.34  14055: Goal:
% 0.13/0.34  14055:  Id :   1, {_}: mult (mult x0 op_b) op_a =>= x0 [] by goal
% 4.10/1.33  Statistics :
% 4.10/1.33  Max weight : 20
% 4.10/1.33  Found proof, 0.992915s
% 4.10/1.33  % SZS status Unsatisfiable for theBenchmark.p
% 4.10/1.33  % SZS output start CNFRefutation for theBenchmark.p
% 4.10/1.33  Id :   9, {_}: mult ?24 unit =>= ?24 [24] by f08 ?24
% 4.10/1.33  Id :  11, {_}: mult op_a op_b =>= unit [] by f10
% 4.10/1.33  Id :   8, {_}: mult ?21 (mult ?22 ?22) =<= mult (mult ?21 ?22) ?22 [22, 21] by f07 ?21 ?22
% 4.10/1.33  Id :  10, {_}: mult unit ?26 =>= ?26 [26] by f09 ?26
% 4.10/1.33  Id :  12, {_}: mult op_b op_a =>= unit [] by f11
% 4.10/1.33  Id :  65, {_}: mult (mult (mult ?149 ?150) ?151) ?150 =>= mult ?149 (mult (mult ?150 ?151) ?150) [151, 150, 149] by f06 ?149 ?150 ?151
% 4.10/1.33  Id :   7, {_}: mult (mult (mult ?17 ?18) ?19) ?18 =>= mult ?17 (mult (mult ?18 ?19) ?18) [19, 18, 17] by f06 ?17 ?18 ?19
% 4.10/1.33  Id : 1533, {_}: mult (mult (mult ?1735 (mult (mult ?1736 ?1737) ?1736)) ?1738) ?1736 =>= mult (mult (mult ?1735 ?1736) ?1737) (mult (mult ?1736 ?1738) ?1736) [1738, 1737, 1736, 1735] by Super 65 with 7 at 1,1,2
% 4.10/1.33  Id : 156, {_}: mult (mult unit ?264) op_a =>= mult op_b (mult (mult op_a ?264) op_a) [264] by Super 7 with 12 at 1,1,2
% 4.10/1.33  Id : 417, {_}: mult ?751 op_a =<= mult op_b (mult (mult op_a ?751) op_a) [751] by Demod 156 with 10 at 1,2
% 4.10/1.33  Id : 424, {_}: mult op_a op_a =<= mult op_b (mult op_a (mult op_a op_a)) [] by Super 417 with 8 at 2,3
% 4.10/1.33  Id : 1564, {_}: mult (mult (mult ?1851 (mult (mult op_a op_a) op_b)) ?1852) op_b =>= mult (mult (mult ?1851 op_b) (mult op_a (mult op_a op_a))) (mult (mult op_b ?1852) op_b) [1852, 1851] by Super 1533 with 424 at 1,2,1,1,2
% 4.10/1.33  Id : 149, {_}: mult (mult unit ?258) op_b =>= mult op_a (mult (mult op_b ?258) op_b) [258] by Super 7 with 11 at 1,1,2
% 4.10/1.33  Id : 280, {_}: mult ?476 op_b =<= mult op_a (mult (mult op_b ?476) op_b) [476] by Demod 149 with 10 at 1,2
% 4.10/1.33  Id : 155, {_}: mult op_b (mult op_a op_a) =<= mult unit op_a [] by Super 8 with 12 at 1,3
% 4.10/1.33  Id : 160, {_}: mult op_b (mult op_a op_a) =>= op_a [] by Demod 155 with 10 at 3
% 4.10/1.33  Id : 284, {_}: mult (mult op_a op_a) op_b =>= mult op_a (mult op_a op_b) [] by Super 280 with 160 at 1,2,3
% 4.10/1.33  Id : 292, {_}: mult (mult op_a op_a) op_b =>= mult op_a unit [] by Demod 284 with 11 at 2,3
% 4.10/1.33  Id : 293, {_}: mult (mult op_a op_a) op_b =>= op_a [] by Demod 292 with 9 at 3
% 4.10/1.33  Id : 2523, {_}: mult (mult (mult ?2817 op_a) ?2818) op_b =>= mult (mult (mult ?2817 op_b) (mult op_a (mult op_a op_a))) (mult (mult op_b ?2818) op_b) [2818, 2817] by Demod 1564 with 293 at 2,1,1,2
% 4.10/1.33  Id : 2552, {_}: mult (mult ?2888 (mult op_a op_a)) op_b =<= mult (mult (mult ?2888 op_b) (mult op_a (mult op_a op_a))) (mult (mult op_b op_a) op_b) [2888] by Super 2523 with 8 at 1,2
% 4.10/1.33  Id : 2615, {_}: mult (mult ?2888 (mult op_a op_a)) op_b =<= mult (mult (mult ?2888 op_b) (mult op_a (mult op_a op_a))) (mult unit op_b) [2888] by Demod 2552 with 12 at 1,2,3
% 4.10/1.33  Id : 2616, {_}: mult (mult ?2888 (mult op_a op_a)) op_b =<= mult (mult (mult ?2888 op_b) (mult op_a (mult op_a op_a))) op_b [2888] by Demod 2615 with 10 at 2,3
% 4.10/1.33  Id : 2617, {_}: mult (mult ?2888 (mult op_a op_a)) op_b =?= mult ?2888 (mult (mult op_b (mult op_a (mult op_a op_a))) op_b) [2888] by Demod 2616 with 7 at 3
% 4.10/1.33  Id : 2618, {_}: mult (mult ?2888 (mult op_a op_a)) op_b =>= mult ?2888 (mult (mult op_a op_a) op_b) [2888] by Demod 2617 with 424 at 1,2,3
% 4.10/1.33  Id : 2619, {_}: mult (mult ?2888 (mult op_a op_a)) op_b =>= mult ?2888 op_a [2888] by Demod 2618 with 293 at 2,3
% 4.10/1.33  Id : 2644, {_}: mult (mult ?2928 op_b) op_a =?= mult ?2928 (mult (mult op_b (mult op_a op_a)) op_b) [2928] by Super 7 with 2619 at 2
% 4.10/1.33  Id : 2679, {_}: mult (mult ?2928 op_b) op_a =>= mult ?2928 (mult op_b op_a) [2928] by Demod 2644 with 2619 at 2,3
% 4.10/1.33  Id : 2680, {_}: mult (mult ?2928 op_b) op_a =>= mult ?2928 unit [2928] by Demod 2679 with 12 at 2,3
% 4.10/1.33  Id : 2681, {_}: mult (mult ?2928 op_b) op_a =>= ?2928 [2928] by Demod 2680 with 9 at 3
% 4.10/1.33  Id : 2781, {_}: x0 === x0 [] by Demod 1 with 2681 at 2
% 4.10/1.33  Id :   1, {_}: mult (mult x0 op_b) op_a =>= x0 [] by goal
% 4.10/1.33  % SZS output end CNFRefutation for theBenchmark.p
% 4.10/1.33  14057: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.995071 using lpo
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